TSTP Solution File: SWW394+1 by CSE---1.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW394+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 18:09:14 EDT 2024
% Result : Theorem 201.01s 201.07s
% Output : CNFRefutation 201.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW394+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n020.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 04:54:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.53/0.59 start to proof:theBenchmark
% 200.87/200.94 %-------------------------------------------
% 200.87/200.94 % File :CSE---1.7
% 200.87/200.94 % Problem :theBenchmark
% 200.87/200.94 % Transform :cnf
% 200.87/200.94 % Format :tptp:raw
% 200.87/200.94 % Command :java -jar mcs_scs.jar %d %s
% 200.87/200.94
% 200.87/200.94 % Result :Theorem 172.820000s
% 200.87/200.94 % Output :CNFRefutation 172.820000s
% 200.87/200.94 %-------------------------------------------
% 200.87/200.95 %------------------------------------------------------------------------------
% 200.87/200.95 % File : SWW394+1 : TPTP v8.2.0. Released v5.2.0.
% 200.87/200.95 % Domain : Software Verification
% 200.87/200.95 % Problem : Hoare's Logic with Procedures 435797, 5000 axioms selected
% 200.87/200.95 % Version : Especial.
% 200.87/200.95 % English :
% 200.87/200.95
% 200.87/200.95 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 200.87/200.95 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 200.87/200.95 % Source : [Bla11]
% 200.87/200.95 % Names : hoare_435797.5000.p [Bla11]
% 200.87/200.95
% 200.87/200.95 % Status : Theorem
% 200.87/200.95 % Rating : 0.50 v8.1.0, 0.53 v7.4.0, 0.57 v7.3.0, 0.59 v7.2.0, 0.55 v7.1.0, 0.57 v7.0.0, 0.63 v6.4.0, 0.62 v6.3.0, 0.67 v6.2.0, 0.80 v6.1.0, 0.83 v5.5.0, 0.81 v5.4.0, 0.79 v5.3.0, 0.81 v5.2.0
% 200.87/200.95 % Syntax : Number of formulae : 5224 (1636 unt; 0 def)
% 200.87/200.95 % Number of atoms : 12814 (4420 equ)
% 200.87/200.95 % Maximal formula atoms : 13 ( 2 avg)
% 200.87/200.95 % Number of connectives : 8598 (1008 ~; 153 |; 738 &)
% 200.87/200.95 % ( 910 <=>;5789 =>; 0 <=; 0 <~>)
% 200.87/200.95 % Maximal formula depth : 22 ( 6 avg)
% 200.87/200.95 % Maximal term depth : 19 ( 2 avg)
% 200.87/200.95 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty)
% 200.87/200.95 % Number of functors : 370 ( 370 usr; 45 con; 0-7 aty)
% 200.87/200.95 % Number of variables : 16557 (16403 !; 154 ?)
% 200.87/200.95 % SPC : FOF_THM_RFO_SEQ
% 200.87/200.95
% 200.87/200.95 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 200.87/200.95 % 2011-03-01 13:09:31
% 200.87/200.95 %------------------------------------------------------------------------------
% 200.87/200.95 %----Relevant facts (4983)
% 200.87/200.95 fof(fact_ext,axiom,
% 200.87/200.95 ! [V_g_2,V_f_2] :
% 200.87/200.95 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 200.87/200.95 => V_f_2 = V_g_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_empty,axiom,
% 200.87/200.95 ! [V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 200.87/200.95 ! [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))) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_cut,axiom,
% 200.87/200.95 ! [V_G_2,V_ts_2,V_G_H_2,T_b] :
% 200.87/200.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 200.87/200.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_H_2)
% 200.87/200.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_hoare__derivs_Oinsert,axiom,
% 200.87/200.95 ! [V_ts_2,V_ta_2,V_G_2,T_b] :
% 200.87/200.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 200.87/200.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2)
% 200.87/200.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),V_ts_2)) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_derivs__insertD,axiom,
% 200.87/200.95 ! [V_ts_2,V_ta_2,V_G_2,T_b] :
% 200.87/200.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),V_ts_2))
% 200.87/200.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 200.87/200.95 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_empty__not__insert,axiom,
% 200.87/200.95 ! [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) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__not__empty,axiom,
% 200.87/200.95 ! [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)) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_doubleton__eq__iff,axiom,
% 200.87/200.95 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 200.87/200.95 ( 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))))
% 200.87/200.95 <=> ( ( V_a_2 = V_c_2
% 200.87/200.95 & V_b_2 = V_d_2 )
% 200.87/200.95 | ( V_a_2 = V_d_2
% 200.87/200.95 & V_b_2 = V_c_2 ) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_singleton__inject,axiom,
% 200.87/200.95 ! [V_b_2,V_a_2,T_b] :
% 200.87/200.95 ( 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)))
% 200.87/200.95 => V_a_2 = V_b_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_bot__apply,axiom,
% 200.87/200.95 ! [V_x_2,T_c,T_b] :
% 200.87/200.95 ( class_Orderings_Obot(T_b)
% 200.87/200.95 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_the__elem__eq,axiom,
% 200.87/200.95 ! [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 ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__absorb2,axiom,
% 200.87/200.95 ! [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) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__commute,axiom,
% 200.87/200.95 ! [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)) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__code,axiom,
% 200.87/200.95 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 200.87/200.95 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 200.87/200.95 <=> ( V_y_2 = V_x_2
% 200.87/200.95 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_hoare__sound,axiom,
% 200.87/200.95 ! [V_ts_2,V_G_2,T_b] :
% 200.87/200.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2)
% 200.87/200.95 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_G_2,V_ts_2) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_fold1Set__sing,axiom,
% 200.87/200.95 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 200.87/200.95 ( 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))
% 200.87/200.95 <=> V_a_2 = V_b_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_folding__one_Osingleton,axiom,
% 200.87/200.95 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 200.87/200.95 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 200.87/200.95 => 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 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_fold1Set__nonempty,axiom,
% 200.87/200.95 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 200.87/200.95 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 200.87/200.95 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_empty__fold1SetE,axiom,
% 200.87/200.95 ! [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)) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_fold1__singleton__def,axiom,
% 200.87/200.95 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 200.87/200.95 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 200.87/200.95 => 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 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_fold1__singleton,axiom,
% 200.87/200.95 ! [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 ).
% 200.87/200.95
% 200.87/200.95 fof(fact_subset__singletonD,axiom,
% 200.87/200.95 ! [V_x_2,V_A_2,T_b] :
% 200.87/200.95 ( 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)))))
% 200.87/200.95 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 200.87/200.95 | 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))) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_singletonE,axiom,
% 200.87/200.95 ! [V_a_2,V_b_2,T_b] :
% 200.87/200.95 ( 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)))))
% 200.87/200.95 => V_b_2 = V_a_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_singleton__iff,axiom,
% 200.87/200.95 ! [V_a_2,V_b_2,T_b] :
% 200.87/200.95 ( 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)))))
% 200.87/200.95 <=> V_b_2 = V_a_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_folding__image__simple_Oempty,axiom,
% 200.87/200.95 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.95 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 200.87/200.95 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__is__Un,axiom,
% 200.87/200.95 ! [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) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insert__Diff__single,axiom,
% 200.87/200.95 ! [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) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_Diff__insert2,axiom,
% 200.87/200.95 ! [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) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_Diff__insert,axiom,
% 200.87/200.95 ! [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)))) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_folding__image__idem_Oidem,axiom,
% 200.87/200.95 ! [V_x_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.95 ( c_Finite__Set_Ofolding__image__idem(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 200.87/200.95 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_fun__left__comm__idem__insert,axiom,
% 200.87/200.95 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_order__refl,axiom,
% 200.87/200.95 ! [V_x,T_a] :
% 200.87/200.95 ( class_Orderings_Opreorder(T_a)
% 200.87/200.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_equalityCE,axiom,
% 200.87/200.95 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 200.87/200.95 ( V_A_2 = V_B_2
% 200.87/200.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.95 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 200.87/200.95 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_equalityI,axiom,
% 200.87/200.95 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 200.87/200.95 => V_A_2 = V_B_2 ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_emptyE,axiom,
% 200.87/200.95 ! [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)))) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insertE,axiom,
% 200.87/200.95 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 200.87/200.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 200.87/200.95 => ( V_a_2 != V_b_2
% 200.87/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_insertCI,axiom,
% 200.87/200.95 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 200.87/200.95 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 200.87/200.95 => V_a_2 = V_b_2 )
% 200.87/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_subsetD,axiom,
% 200.87/200.95 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 200.87/200.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.95
% 200.87/200.95 fof(fact_UnE,axiom,
% 200.87/200.95 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.95 ( 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)))
% 200.87/200.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_UnCI,axiom,
% 200.87/200.96 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 200.87/200.96 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 200.87/200.96 => 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))) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_empty__subsetI,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_DiffI,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 200.87/200.96 => 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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_DiffE,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_fun__left__comm__idem__sup,axiom,
% 200.87/200.96 ! [T_b] :
% 200.87/200.96 ( class_Lattices_Osemilattice__sup(T_b)
% 200.87/200.96 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_subset__refl,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__upper1,axiom,
% 200.87/200.96 ! [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))) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__upper2,axiom,
% 200.87/200.96 ! [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))) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__absorb,axiom,
% 200.87/200.96 ! [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 ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__subset,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_le__fun__def,axiom,
% 200.87/200.96 ! [V_g_2,V_f_2,T_b,T_c] :
% 200.87/200.96 ( class_Orderings_Oord(T_c)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 200.87/200.96 <=> ! [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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_mem__def,axiom,
% 200.87/200.96 ! [V_A_2,V_x_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__commute,axiom,
% 200.87/200.96 ! [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) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_linorder__linear,axiom,
% 200.87/200.96 ! [V_y,V_x,T_a] :
% 200.87/200.96 ( class_Orderings_Olinorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.96 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_subset__Un__eq,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_set__eq__subset,axiom,
% 200.87/200.96 ! [T_b,V_B_2,V_A_2] :
% 200.87/200.96 ( V_A_2 = V_B_2
% 200.87/200.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_order__eq__iff,axiom,
% 200.87/200.96 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.96 ( class_Orderings_Oorder(T_b)
% 200.87/200.96 => ( V_x_2 = V_y_2
% 200.87/200.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__Diff__cancel,axiom,
% 200.87/200.96 ! [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) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__left__absorb,axiom,
% 200.87/200.96 ! [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) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__left__commute,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__iff,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__iff,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__idemp,axiom,
% 200.87/200.96 ! [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) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__Diff__cancel2,axiom,
% 200.87/200.96 ! [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) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__subset__conv,axiom,
% 200.87/200.96 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( 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))
% 200.87/200.96 <=> 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))) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__assoc,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__Diff,axiom,
% 200.87/200.96 ! [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)) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_bex__Un,axiom,
% 200.87/200.96 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( ? [B_x] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 & hBOOL(hAPP(V_P_2,B_x)) )
% 200.87/200.96 <=> ( ? [B_x] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 200.87/200.96 & hBOOL(hAPP(V_P_2,B_x)) )
% 200.87/200.96 | ? [B_x] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 200.87/200.96 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_ball__Un,axiom,
% 200.87/200.96 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( ! [B_x] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 => hBOOL(hAPP(V_P_2,B_x)) )
% 200.87/200.96 <=> ( ! [B_x] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(V_P_2,B_x)) )
% 200.87/200.96 & ! [B_x] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 200.87/200.96 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_equalityD1,axiom,
% 200.87/200.96 ! [T_b,V_B_2,V_A_2] :
% 200.87/200.96 ( V_A_2 = V_B_2
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_equalityD2,axiom,
% 200.87/200.96 ! [T_b,V_B_2,V_A_2] :
% 200.87/200.96 ( V_A_2 = V_B_2
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_order__eq__refl,axiom,
% 200.87/200.96 ! [V_y,V_x,T_a] :
% 200.87/200.96 ( class_Orderings_Opreorder(T_a)
% 200.87/200.96 => ( V_x = V_y
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_UnI1,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.96 => 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))) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_UnI2,axiom,
% 200.87/200.96 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 200.87/200.96 => 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))) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_le__funD,axiom,
% 200.87/200.96 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 200.87/200.96 ( class_Orderings_Oord(T_c)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 200.87/200.96 => 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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__absorb1,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__absorb2,axiom,
% 200.87/200.96 ! [V_A_2,V_B_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 200.87/200.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_eqset__imp__iff,axiom,
% 200.87/200.96 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 200.87/200.96 ( V_A_2 = V_B_2
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_eqelem__imp__iff,axiom,
% 200.87/200.96 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 200.87/200.96 ( V_x_2 = V_y_2
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_in__mono,axiom,
% 200.87/200.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_order__antisym__conv,axiom,
% 200.87/200.96 ! [V_x_2,V_y_2,T_b] :
% 200.87/200.96 ( class_Orderings_Oorder(T_b)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.96 <=> V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__partition,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => 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 ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_eq__mem__trans,axiom,
% 200.87/200.96 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 200.87/200.96 ( V_a_2 = V_b_2
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_ord__eq__le__trans,axiom,
% 200.87/200.96 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.96 ( class_Orderings_Oord(T_a)
% 200.87/200.96 => ( V_a = V_b
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_xt1_I3_J,axiom,
% 200.87/200.96 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.96 ( class_Orderings_Oorder(T_a)
% 200.87/200.96 => ( V_a = V_b
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_set__rev__mp,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_set__mp,axiom,
% 200.87/200.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_subset__trans,axiom,
% 200.87/200.96 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_ord__le__eq__trans,axiom,
% 200.87/200.96 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.96 ( class_Orderings_Oord(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 200.87/200.96 => ( V_b = V_c
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_xt1_I4_J,axiom,
% 200.87/200.96 ! [V_c,V_a,V_b,T_a] :
% 200.87/200.96 ( class_Orderings_Oorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 200.87/200.96 => ( V_b = V_c
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_order__antisym,axiom,
% 200.87/200.96 ! [V_y,V_x,T_a] :
% 200.87/200.96 ( class_Orderings_Oorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.96 => V_x = V_y ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_order__trans,axiom,
% 200.87/200.96 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.96 ( class_Orderings_Opreorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_xt1_I5_J,axiom,
% 200.87/200.96 ! [V_x,V_y,T_a] :
% 200.87/200.96 ( class_Orderings_Oorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.96 => V_x = V_y ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_xt1_I6_J,axiom,
% 200.87/200.96 ! [V_z,V_x,V_y,T_a] :
% 200.87/200.96 ( class_Orderings_Oorder(T_a)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__least,axiom,
% 200.87/200.96 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.96 => 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)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Un__mono,axiom,
% 200.87/200.96 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 200.87/200.96 => 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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_Diff__mono,axiom,
% 200.87/200.96 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 200.87/200.96 => 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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_double__diff,axiom,
% 200.87/200.96 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.96 => 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 ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_equalityE,axiom,
% 200.87/200.96 ! [T_b,V_B_2,V_A_2] :
% 200.87/200.96 ( V_A_2 = V_B_2
% 200.87/200.96 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.96 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_le__funE,axiom,
% 200.87/200.96 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 200.87/200.96 ( class_Orderings_Oord(T_c)
% 200.87/200.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 200.87/200.96 => 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))) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_DiffD1,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_DiffD2,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 200.87/200.96 ( 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)))
% 200.87/200.96 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_linorder__le__cases,axiom,
% 200.87/200.96 ! [V_y,V_x,T_a] :
% 200.87/200.96 ( class_Orderings_Olinorder(T_a)
% 200.87/200.96 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 200.87/200.96 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 200.87/200.96 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 200.87/200.96 => 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) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_insert__Diff1,axiom,
% 200.87/200.96 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 200.87/200.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.96 => 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) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_insert__Diff__if,axiom,
% 200.87/200.96 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 200.87/200.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.96 => 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) )
% 200.87/200.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.96 => 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)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_subset__insert,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 200.87/200.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.96 => ( 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)))
% 200.87/200.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 200.87/200.96
% 200.87/200.96 fof(fact_insert__subset,axiom,
% 200.87/200.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 200.87/200.96 ( 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))
% 200.87/200.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_subset__insert__iff,axiom,
% 200.87/200.97 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 200.87/200.97 ( 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)))
% 200.87/200.97 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => 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)) )
% 200.87/200.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_diff__single__insert,axiom,
% 200.87/200.97 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 200.87/200.97 ( 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))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => 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))) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Diff__insert__absorb,axiom,
% 200.87/200.97 ! [V_A_2,V_x_2,T_b] :
% 200.87/200.97 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => 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 ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insert__Diff,axiom,
% 200.87/200.97 ! [V_A_2,V_a_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 200.87/200.97 => 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 ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_empty__Diff,axiom,
% 200.87/200.97 ! [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)) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Diff__empty,axiom,
% 200.87/200.97 ! [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 ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Diff__cancel,axiom,
% 200.87/200.97 ! [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)) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Un__empty__left,axiom,
% 200.87/200.97 ! [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 ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Un__empty__right,axiom,
% 200.87/200.97 ! [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 ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Un__empty,axiom,
% 200.87/200.97 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.97 ( 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))
% 200.87/200.97 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 200.87/200.97 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Un__insert__right,axiom,
% 200.87/200.97 ! [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)) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Un__insert__left,axiom,
% 200.87/200.97 ! [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)) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_bot__least,axiom,
% 200.87/200.97 ! [V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Obot(T_a)
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_all__not__in__conv,axiom,
% 200.87/200.97 ! [V_A_2,T_b] :
% 200.87/200.97 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 200.87/200.97 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_ex__in__conv,axiom,
% 200.87/200.97 ! [V_A_2,T_b] :
% 200.87/200.97 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 200.87/200.97 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_empty__iff,axiom,
% 200.87/200.97 ! [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)))) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_equals0D,axiom,
% 200.87/200.97 ! [V_a_2,T_b,V_A_2] :
% 200.87/200.97 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_subset__empty,axiom,
% 200.87/200.97 ! [V_A_2,T_b] :
% 200.87/200.97 ( 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))))
% 200.87/200.97 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insertI1,axiom,
% 200.87/200.97 ! [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))) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insert__iff,axiom,
% 200.87/200.97 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 200.87/200.97 <=> ( V_a_2 = V_b_2
% 200.87/200.97 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insert__ident,axiom,
% 200.87/200.97 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 200.87/200.97 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.97 => ( 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)
% 200.87/200.97 <=> V_A_2 = V_B_2 ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insertI2,axiom,
% 200.87/200.97 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insert__absorb,axiom,
% 200.87/200.97 ! [V_A_2,V_a_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 200.87/200.97 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_subset__insertI,axiom,
% 200.87/200.97 ! [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))) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_subset__insertI2,axiom,
% 200.87/200.97 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_insert__mono,axiom,
% 200.87/200.97 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_asm,axiom,
% 200.87/200.97 ! [V_G_2,V_ts_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_G_2))
% 200.87/200.97 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_weaken,axiom,
% 200.87/200.97 ! [V_ts_2,V_ts_H_2,V_G_2,T_b] :
% 200.87/200.97 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 200.87/200.97 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_thin,axiom,
% 200.87/200.97 ! [V_G_2,V_ts_2,V_G_H_2,T_b] :
% 200.87/200.97 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 200.87/200.97 => ( 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_G_2))
% 200.87/200.97 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_2) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup1CI,axiom,
% 200.87/200.97 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 200.87/200.97 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 200.87/200.97 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup1E,axiom,
% 200.87/200.97 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 200.87/200.97 ( 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))
% 200.87/200.97 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 200.87/200.97 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_minus__apply,axiom,
% 200.87/200.97 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 200.87/200.97 ( class_Groups_Ominus(T_b)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__apply,axiom,
% 200.87/200.97 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 200.87/200.97 ( class_Lattices_Olattice(T_b)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__bot__left,axiom,
% 200.87/200.97 ! [V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Obounded__lattice__bot(T_a)
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__bot__right,axiom,
% 200.87/200.97 ! [V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Obounded__lattice__bot(T_a)
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__eq__bot__iff,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Lattices_Obounded__lattice__bot(T_b)
% 200.87/200.97 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 200.87/200.97 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 200.87/200.97 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__supE,axiom,
% 200.87/200.97 ! [V_x,V_b,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( 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))
% 200.87/200.97 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__mono,axiom,
% 200.87/200.97 ! [V_d,V_b,V_c,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 200.87/200.97 => 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))) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__least,axiom,
% 200.87/200.97 ! [V_z,V_x,V_y,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 200.87/200.97 => 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)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__supI,axiom,
% 200.87/200.97 ! [V_b,V_x,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 200.87/200.97 => 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)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__absorb1,axiom,
% 200.87/200.97 ! [V_x,V_y,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_eq__mem,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 200.87/200.97 <=> V_x_2 = V_y_2 ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup_Oidem,axiom,
% 200.87/200.97 ! [V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__idem,axiom,
% 200.87/200.97 ! [V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup_Ocommute,axiom,
% 200.87/200.97 ! [V_b,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__aci_I5_J,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__commute,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup_Oleft__idem,axiom,
% 200.87/200.97 ! [V_b,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__aci_I8_J,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__left__idem,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup_Oleft__commute,axiom,
% 200.87/200.97 ! [V_c,V_a,V_b,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__aci_I7_J,axiom,
% 200.87/200.97 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__left__commute,axiom,
% 200.87/200.97 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup_Oassoc,axiom,
% 200.87/200.97 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__aci_I6_J,axiom,
% 200.87/200.97 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__assoc,axiom,
% 200.87/200.97 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_rev__predicate1D,axiom,
% 200.87/200.97 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 200.87/200.97 ( hBOOL(hAPP(V_P_2,V_x_2))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 200.87/200.97 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_predicate1D,axiom,
% 200.87/200.97 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 200.87/200.97 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 200.87/200.97 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup1I1,axiom,
% 200.87/200.97 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 200.87/200.97 ( hBOOL(hAPP(V_A_2,V_x_2))
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup1I2,axiom,
% 200.87/200.97 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 200.87/200.97 ( hBOOL(hAPP(V_B_2,V_x_2))
% 200.87/200.97 => 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)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__ord_I3_J,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__ge1,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_inf__sup__ord_I4_J,axiom,
% 200.87/200.97 ! [V_x,V_y,T_a] :
% 200.87/200.97 ( class_Lattices_Olattice(T_a)
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__ge2,axiom,
% 200.87/200.97 ! [V_x,V_y,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__iff__sup,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_b)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__sup__iff,axiom,
% 200.87/200.97 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_b)
% 200.87/200.97 => ( 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))
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 200.87/200.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__supI1,axiom,
% 200.87/200.97 ! [V_b,V_a,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 200.87/200.97 => 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))) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_le__supI2,axiom,
% 200.87/200.97 ! [V_a,V_b,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 200.87/200.97 => 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))) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_sup__absorb2,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_diff__eq__diff__less__eq,axiom,
% 200.87/200.97 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 200.87/200.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 200.87/200.97 => ( 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)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 200.87/200.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_folding__one_Oremove,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 200.87/200.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 200.87/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => ( ( hAPP(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))
% 200.87/200.97 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 200.87/200.97 & ( hAPP(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))
% 200.87/200.97 => 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)))))) ) ) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_folding__image__simple_Oremove,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.97 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 200.87/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 200.87/200.97 => 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)))))) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_fold1Set_Ointros,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 200.87/200.97 => 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)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_psubset__insert__iff,axiom,
% 200.87/200.97 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 200.87/200.97 ( 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)))
% 200.87/200.97 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 200.87/200.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 200.87/200.97 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => 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)) )
% 200.87/200.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 200.87/200.97 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => ( 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)
% 200.87/200.97 => 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)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_Diff1__fold__graph,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.97 ( 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))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => 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))) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_folding__one_Oinsert__remove,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 200.87/200.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 200.87/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 200.87/200.97 => ( ( hAPP(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))
% 200.87/200.97 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 200.87/200.97 & ( hAPP(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))
% 200.87/200.97 => 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)))))) ) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.97 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 200.87/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 200.87/200.97 => 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)))))) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_folding__one_Oinsert,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 200.87/200.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 200.87/200.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 200.87/200.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 200.87/200.97 => 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)) ) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_nonempty__iff,axiom,
% 200.87/200.97 ! [T_b,V_A_2] :
% 200.87/200.97 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 200.87/200.97 <=> ? [B_x,B_B] :
% 200.87/200.97 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 200.87/200.97 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_finite_OemptyI,axiom,
% 200.87/200.97 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_finite_OinsertI,axiom,
% 200.87/200.97 ! [V_a_2,V_A_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 200.87/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_finite__Diff,axiom,
% 200.87/200.97 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 200.87/200.97 => 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))) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_finite,axiom,
% 200.87/200.97 ! [V_A_2,T_b] :
% 200.87/200.97 ( class_Finite__Set_Ofinite(T_b)
% 200.87/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__irrefl,axiom,
% 200.87/200.97 ! [V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_finite__code,axiom,
% 200.87/200.97 ! [V_A_2,T_b] :
% 200.87/200.97 ( class_Finite__Set_Ofinite(T_b)
% 200.87/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__neq__iff,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_b)
% 200.87/200.97 => ( V_x_2 != V_y_2
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_not__less__iff__gr__or__eq,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_b)
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 200.87/200.97 | V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__less__linear,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 | V_x = V_y
% 200.87/200.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__antisym__conv3,axiom,
% 200.87/200.97 ! [V_x_2,V_y_2,T_b] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_b)
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__neqE,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_a)
% 200.87/200.97 => ( V_x != V_y
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_less__imp__neq,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => V_x != V_y ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__not__sym,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__imp__not__less,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__imp__not__eq,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => V_x != V_y ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__imp__not__eq2,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => V_y != V_x ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__asym_H,axiom,
% 200.87/200.97 ! [V_b,V_a,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_xt1_I9_J,axiom,
% 200.87/200.97 ! [V_a,V_b,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_ord__eq__less__trans,axiom,
% 200.87/200.97 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.97 ( class_Orderings_Oord(T_a)
% 200.87/200.97 => ( V_a = V_b
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_xt1_I1_J,axiom,
% 200.87/200.97 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( V_a = V_b
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_psubset__trans,axiom,
% 200.87/200.97 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_ord__less__eq__trans,axiom,
% 200.87/200.97 ! [V_c,V_b,V_a,T_a] :
% 200.87/200.97 ( class_Orderings_Oord(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 200.87/200.97 => ( V_b = V_c
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_xt1_I2_J,axiom,
% 200.87/200.97 ! [V_c,V_a,V_b,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 200.87/200.97 => ( V_b = V_c
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__trans,axiom,
% 200.87/200.97 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_xt1_I10_J,axiom,
% 200.87/200.97 ! [V_z,V_x,V_y,T_a] :
% 200.87/200.97 ( class_Orderings_Oorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__asym,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_fold__graph__imp__finite,axiom,
% 200.87/200.97 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 200.87/200.97 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 200.87/200.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__cases,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_a)
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.97 => ( V_x != V_y
% 200.87/200.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_diff__eq__diff__less,axiom,
% 200.87/200.97 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 200.87/200.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 200.87/200.97 => ( 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)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 200.87/200.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 200.87/200.97 ! [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) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 200.87/200.97 ! [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) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_less__fun__def,axiom,
% 200.87/200.97 ! [V_g_2,V_f_2,T_b,T_c] :
% 200.87/200.97 ( class_Orderings_Oord(T_c)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 200.87/200.97 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__not__less,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_b)
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__not__le,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_b)
% 200.87/200.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_linorder__le__less__linear,axiom,
% 200.87/200.97 ! [V_y,V_x,T_a] :
% 200.87/200.97 ( class_Orderings_Olinorder(T_a)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__less__le,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Oorder(T_b)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.97 & V_x_2 != V_y_2 ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_less__le__not__le,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Opreorder(T_b)
% 200.87/200.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.97 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 200.87/200.97
% 200.87/200.97 fof(fact_order__le__less,axiom,
% 200.87/200.97 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.97 ( class_Orderings_Oorder(T_b)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.98 | V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_leI,axiom,
% 200.87/200.98 ! [V_y,V_x,T_a] :
% 200.87/200.98 ( class_Orderings_Olinorder(T_a)
% 200.87/200.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_not__leE,axiom,
% 200.87/200.98 ! [V_x,V_y,T_a] :
% 200.87/200.98 ( class_Orderings_Olinorder(T_a)
% 200.87/200.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_linorder__antisym__conv1,axiom,
% 200.87/200.98 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.98 ( class_Orderings_Olinorder(T_b)
% 200.87/200.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__neq__le__trans,axiom,
% 200.87/200.98 ! [V_b,V_a,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( V_a != V_b
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_xt1_I12_J,axiom,
% 200.87/200.98 ! [V_b,V_a,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( V_a != V_b
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_leD,axiom,
% 200.87/200.98 ! [V_x,V_y,T_a] :
% 200.87/200.98 ( class_Orderings_Olinorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__less__imp__le,axiom,
% 200.87/200.98 ! [V_y,V_x,T_a] :
% 200.87/200.98 ( class_Orderings_Opreorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_linorder__antisym__conv2,axiom,
% 200.87/200.98 ! [V_y_2,V_x_2,T_b] :
% 200.87/200.98 ( class_Orderings_Olinorder(T_b)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 200.87/200.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 200.87/200.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__le__imp__less__or__eq,axiom,
% 200.87/200.98 ! [V_y,V_x,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.98 | V_x = V_y ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__le__neq__trans,axiom,
% 200.87/200.98 ! [V_b,V_a,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 200.87/200.98 => ( V_a != V_b
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_xt1_I11_J,axiom,
% 200.87/200.98 ! [V_a,V_b,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 200.87/200.98 => ( V_a != V_b
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__less__le__trans,axiom,
% 200.87/200.98 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.98 ( class_Orderings_Opreorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_xt1_I7_J,axiom,
% 200.87/200.98 ! [V_z,V_x,V_y,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_order__le__less__trans,axiom,
% 200.87/200.98 ! [V_z,V_y,V_x,T_a] :
% 200.87/200.98 ( class_Orderings_Opreorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_xt1_I8_J,axiom,
% 200.87/200.98 ! [V_z,V_x,V_y,T_a] :
% 200.87/200.98 ( class_Orderings_Oorder(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_psubsetD,axiom,
% 200.87/200.98 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_not__psubset__empty,axiom,
% 200.87/200.98 ! [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)))) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_less__supI2,axiom,
% 200.87/200.98 ! [V_a,V_b,V_x,T_a] :
% 200.87/200.98 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 200.87/200.98 => 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))) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_less__supI1,axiom,
% 200.87/200.98 ! [V_b,V_a,V_x,T_a] :
% 200.87/200.98 ( class_Lattices_Osemilattice__sup(T_a)
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 200.87/200.98 => 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))) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_psubset__eq,axiom,
% 200.87/200.98 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 & V_A_2 != V_B_2 ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_subset__iff__psubset__eq,axiom,
% 200.87/200.98 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 | V_A_2 = V_B_2 ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_psubset__imp__subset,axiom,
% 200.87/200.98 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_psubset__subset__trans,axiom,
% 200.87/200.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_subset__psubset__trans,axiom,
% 200.87/200.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 200.87/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_finite_Oequations_I1_J,axiom,
% 200.87/200.98 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_finite__insert,axiom,
% 200.87/200.98 ! [V_A_2,V_a_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 200.87/200.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_rev__finite__subset,axiom,
% 200.87/200.98 ! [V_A_2,V_B_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 200.87/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_finite__subset,axiom,
% 200.87/200.98 ! [V_B_2,V_A_2,T_b] :
% 200.87/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 200.87/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 200.87/200.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 200.87/200.98
% 200.87/200.98 fof(fact_finite__Un,axiom,
% 200.87/200.98 ! [V_G_2,V_F_2,T_b] :
% 200.87/200.98 ( 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_G_2)))
% 201.01/200.98 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.98 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__UnI,axiom,
% 201.01/200.98 ! [V_G_2,V_F_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 201.01/200.98 => 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_G_2))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__Diff2,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( 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)))
% 201.01/200.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph_OemptyI,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_empty__fold__graphE,axiom,
% 201.01/200.98 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => V_x_2 = V_z_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__Diff__insert,axiom,
% 201.01/200.98 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))))
% 201.01/200.98 <=> 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))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph_OinsertI,axiom,
% 201.01/200.98 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.01/200.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one_Oeq__fold,axiom,
% 201.01/200.98 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_diff__eq__diff__eq,axiom,
% 201.01/200.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__group__add(T_b)
% 201.01/200.98 => ( 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)
% 201.01/200.98 => ( V_a_2 = V_b_2
% 201.01/200.98 <=> V_c_2 = V_d_2 ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple_Oinsert,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 201.01/200.98 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 201.01/200.98 | ? [B_x,B_y] :
% 201.01/200.98 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 201.01/200.98 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 201.01/200.98 & 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one_Oclosed,axiom,
% 201.01/200.98 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( ! [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))))))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__empty__induct,axiom,
% 201.01/200.98 ! [V_P_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 201.01/200.98 => ( ! [B_a,B_A] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,B_A))
% 201.01/200.98 => 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)))))) ) ) )
% 201.01/200.98 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__subset__induct,axiom,
% 201.01/200.98 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/200.98 => ( ! [B_a,B_F] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,B_F))
% 201.01/200.98 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 201.01/200.98 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_insert__fold1SetE,axiom,
% 201.01/200.98 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => ~ ! [B_a,B_A] :
% 201.01/200.98 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1Set_Oequations,axiom,
% 201.01/200.98 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 <=> ? [B_a,B_A] :
% 201.01/200.98 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 201.01/200.98 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 201.01/200.98 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph__permute__diff,axiom,
% 201.01/200.98 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( 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))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__insert,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 201.01/200.98 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_mult__left__idem,axiom,
% 201.01/200.98 ! [V_b,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_mult__idem,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_times_Oidem,axiom,
% 201.01/200.98 ! [V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Oidem,axiom,
% 201.01/200.98 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fun__left__comm__idem,axiom,
% 201.01/200.98 ! [T_b] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/200.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__graph__insert__swap,axiom,
% 201.01/200.98 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( 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))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Oin__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__insert__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__Un2,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__in,axiom,
% 201.01/200.98 ! [V_A_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( ! [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))))))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__Un,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__eq__fold,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__induct,axiom,
% 201.01/200.98 ! [V_P_2,V_F_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/200.98 => ( ! [B_x,B_F] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 201.01/200.98 => ( hBOOL(hAPP(V_P_2,B_F))
% 201.01/200.98 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 201.01/200.98 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oremove,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => ( ( hAPP(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))
% 201.01/200.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 201.01/200.98 & ( hAPP(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))
% 201.01/200.98 => 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)))))) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__Diff2__less,axiom,
% 201.01/200.98 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__Diff1__less,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf1I,axiom,
% 201.01/200.98 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 201.01/200.98 ( hBOOL(hAPP(V_A_2,V_x_2))
% 201.01/200.98 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf1E,axiom,
% 201.01/200.98 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 201.01/200.98 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_IntI,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_IntE,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 201.01/200.98 ( 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)))
% 201.01/200.98 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/200.98 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_finite__Int,axiom,
% 201.01/200.98 ! [V_G_2,V_F_2,T_b] :
% 201.01/200.98 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.98 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 201.01/200.98 => 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_G_2))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf_Oidem,axiom,
% 201.01/200.98 ! [V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__idem,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf_Ocommute,axiom,
% 201.01/200.98 ! [V_b,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__aci_I1_J,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__commute,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf_Oleft__idem,axiom,
% 201.01/200.98 ! [V_b,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__aci_I4_J,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__left__idem,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf_Oleft__commute,axiom,
% 201.01/200.98 ! [V_c,V_a,V_b,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__aci_I3_J,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__left__commute,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf_Oassoc,axiom,
% 201.01/200.98 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__aci_I2_J,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__assoc,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__apply,axiom,
% 201.01/200.98 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf1D1,axiom,
% 201.01/200.98 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf1D2,axiom,
% 201.01/200.98 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__absorb,axiom,
% 201.01/200.98 ! [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 ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__commute,axiom,
% 201.01/200.98 ! [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) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__left__absorb,axiom,
% 201.01/200.98 ! [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) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__left__commute,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__assoc,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Inf__fin_Oidem,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__inf__insert,axiom,
% 201.01/200.98 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 201.01/200.98 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__Sup__absorb,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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 ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__Diff__subset__Int,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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)))
% 201.01/200.98 => 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))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__inf__le__inf,axiom,
% 201.01/200.98 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__infE,axiom,
% 201.01/200.98 ! [V_b,V_a,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( 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)))
% 201.01/200.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/200.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__mono,axiom,
% 201.01/200.98 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__greatest,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__infI,axiom,
% 201.01/200.98 ! [V_b,V_a,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__absorb2,axiom,
% 201.01/200.98 ! [V_x,V_y,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__absorb1,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__infI2,axiom,
% 201.01/200.98 ! [V_a,V_x,V_b,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__infI1,axiom,
% 201.01/200.98 ! [V_b,V_x,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__inf__iff,axiom,
% 201.01/200.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( 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)))
% 201.01/200.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/200.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_le__iff__inf,axiom,
% 201.01/200.98 ! [V_y_2,V_x_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/200.98 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__le2,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__ord_I2_J,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__le1,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__ord_I1_J,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_less__infI1,axiom,
% 201.01/200.98 ! [V_b,V_x,V_a,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_less__infI2,axiom,
% 201.01/200.98 ! [V_a,V_x,V_b,T_a] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_a)
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__bot__left,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__bot__right,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Obounded__lattice__bot(T_a)
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_sup__inf__distrib2,axiom,
% 201.01/200.98 ! [V_x,V_z,V_y,T_a] :
% 201.01/200.98 ( class_Lattices_Odistrib__lattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__distrib2,axiom,
% 201.01/200.98 ! [V_x,V_z,V_y,T_a] :
% 201.01/200.98 ( class_Lattices_Odistrib__lattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_sup__inf__distrib1,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Odistrib__lattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__distrib1,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Odistrib__lattice(T_a)
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_sup__inf__absorb,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_inf__sup__absorb,axiom,
% 201.01/200.98 ! [V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__iff,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 201.01/200.98 ( 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)))
% 201.01/200.98 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/200.98 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_IntD1,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 201.01/200.98 ( 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)))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_IntD2,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 201.01/200.98 ( 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)))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__empty,axiom,
% 201.01/200.98 ! [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 ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__empty__left,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__empty__right,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_disjoint__iff__not__equal,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 <=> ! [B_x] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/200.98 => ! [B_xa] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 201.01/200.98 => B_x != B_xa ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_insert__inter__insert,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__lower1,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__lower2,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__absorb2,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__absorb1,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__greatest,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__mono,axiom,
% 201.01/200.98 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__Un__distrib,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Un__Int__distrib,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__Un__distrib2,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Un__Int__distrib2,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Un__Int__crazy,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__Int__distrib,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__Diff,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__Int__distrib2,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__Int2,axiom,
% 201.01/200.98 ! [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) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fun__left__comm__idem__inf,axiom,
% 201.01/200.98 ! [T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Osingleton,axiom,
% 201.01/200.98 ! [V_x_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => 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 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Ounion__inter,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_distrib__inf__le,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_distrib__sup__le,axiom,
% 201.01/200.98 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => 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)))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__insert__le,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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)))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__seteq,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.98 => ( 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)))
% 201.01/200.98 => V_A_2 = V_B_2 ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__mono,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_diff__card__le__card__Diff,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => 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)))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold__sup__insert,axiom,
% 201.01/200.98 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__sup(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__left__if1,axiom,
% 201.01/200.98 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__right__if1,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__left__if0,axiom,
% 201.01/200.98 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.01/200.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__right__if0,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.01/200.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__left,axiom,
% 201.01/200.98 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 201.01/200.98 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.01/200.98 => 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)) )
% 201.01/200.98 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Int__insert__right,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 201.01/200.98 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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)) )
% 201.01/200.98 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__triv,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__disjoint,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Un__Int__assoc__eq,axiom,
% 201.01/200.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( 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))
% 201.01/200.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_psubset__card__mono,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.98 => 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))) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__Int,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Diff__Un,axiom,
% 201.01/200.98 ! [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)) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Un__Diff__Int,axiom,
% 201.01/200.98 ! [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 ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oin__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_OF__eq,axiom,
% 201.01/200.98 ! [V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_sup__le__fold__sup,axiom,
% 201.01/200.98 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__sup(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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))) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__belowI,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_below__fold1__iff,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( 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)))
% 201.01/200.98 <=> ! [B_x] :
% 201.01/200.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__Diff__subset,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_union__fold__insert,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__psubset,axiom,
% 201.01/200.98 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.98 => ( 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)))
% 201.01/200.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Osubset__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Ounion__idem,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 201.01/200.98 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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)) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 201.01/200.98 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oidem,axiom,
% 201.01/200.98 ! [V_x,T_a] :
% 201.01/200.98 ( class_Lattices_Olattice(T_a)
% 201.01/200.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/200.98 => 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)) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_card__Diff1__le,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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))) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oinsert,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Olattice(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ( hAPP(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))
% 201.01/200.98 => 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 )
% 201.01/200.98 & ( hAPP(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))
% 201.01/200.98 => 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)))))) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_fold1__eq__fold__idem,axiom,
% 201.01/200.98 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => 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) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one_Oeq__fold_H,axiom,
% 201.01/200.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.98 => 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) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one_Ounion__disjoint,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ) ) ).
% 201.01/200.98
% 201.01/200.98 fof(fact_folding__one_Ounion__inter,axiom,
% 201.01/200.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.98 => ( 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))
% 201.01/200.98 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_semilattice__big_OF__eq,axiom,
% 201.01/200.99 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 201.01/200.99 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 201.01/200.99 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 201.01/200.99 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__fin_Oclosed,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( ! [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))))))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oremove,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => ( ( hAPP(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))
% 201.01/200.99 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 201.01/200.99 & ( hAPP(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))
% 201.01/200.99 => 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)))))) ) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 201.01/200.99 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 201.01/200.99 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Diff__singleton__if,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) )
% 201.01/200.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Diff__singleton,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Suc__Diff1,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_one__reorient,axiom,
% 201.01/200.99 ! [V_x_2,T_b] :
% 201.01/200.99 ( class_Groups_Oone(T_b)
% 201.01/200.99 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 201.01/200.99 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 201.01/200.99 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult_Ocomm__neutral,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__1__right,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Groups_Omonoid__mult(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__1,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__1__left,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Groups_Omonoid__mult(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm,axiom,
% 201.01/200.99 ! [T_b] :
% 201.01/200.99 ( class_Groups_Oab__semigroup__mult(T_b)
% 201.01/200.99 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 201.01/200.99 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.01/200.99 => V_y_2 = V_x_2 ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Osingleton,axiom,
% 201.01/200.99 ! [V_x_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 201.01/200.99 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_sup__Inf__absorb,axiom,
% 201.01/200.99 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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 ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oin__idem,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 201.01/200.99 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.01/200.99 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_OF__eq,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__insert__disjoint,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__insert__if,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) )
% 201.01/200.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Osubset__idem,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Ounion__idem,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => 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)) ) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__le__Sup,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 201.01/200.99 ! [V_a_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__insert,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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)))))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 201.01/200.99 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Diff__insert,axiom,
% 201.01/200.99 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oinsert,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ( hAPP(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))
% 201.01/200.99 => 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 )
% 201.01/200.99 & ( hAPP(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))
% 201.01/200.99 => 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)))))) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( 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))
% 201.01/200.99 => 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)) ) ) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Ounion__inter,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( 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))
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_lessI,axiom,
% 201.01/200.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__mono,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__Suc__1,axiom,
% 201.01/200.99 ! [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 ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__less__mono,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__diff__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__diff__le,axiom,
% 201.01/200.99 ! [V_m,V_n] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__less__Suc,axiom,
% 201.01/200.99 ! [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))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__eq__Suc__le,axiom,
% 201.01/200.99 ! [V_m_2,V_n_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__Suc__eq__le,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__mult__cancel1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)
% 201.01/200.99 <=> V_m_2 = V_n_2 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__inject,axiom,
% 201.01/200.99 ! [V_y,V_x] :
% 201.01/200.99 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 201.01/200.99 => V_x = V_y ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat_Oinject,axiom,
% 201.01/200.99 ! [V_nat_H_2,V_nat_2] :
% 201.01/200.99 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 201.01/200.99 <=> V_nat_2 = V_nat_H_2 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__n__not__n,axiom,
% 201.01/200.99 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 201.01/200.99
% 201.01/200.99 fof(fact_n__not__Suc__n,axiom,
% 201.01/200.99 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__less__cases,axiom,
% 201.01/200.99 ! [V_P_2,V_n_2,V_m_2] :
% 201.01/200.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 201.01/200.99 => ( ( V_m_2 = V_n_2
% 201.01/200.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 201.01/200.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/200.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 201.01/200.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__not__refl3,axiom,
% 201.01/200.99 ! [V_t,V_s] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 201.01/200.99 => V_s != V_t ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__not__refl2,axiom,
% 201.01/200.99 ! [V_m,V_n] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => V_m != V_n ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__irrefl__nat,axiom,
% 201.01/200.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_linorder__neqE__nat,axiom,
% 201.01/200.99 ! [V_y,V_x] :
% 201.01/200.99 ( V_x != V_y
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__neq__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( V_m_2 != V_n_2
% 201.01/200.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__not__refl,axiom,
% 201.01/200.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__square,axiom,
% 201.01/200.99 ! [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))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__cube,axiom,
% 201.01/200.99 ! [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)))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__le__mono1,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__le__mono2,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__le__mono,axiom,
% 201.01/200.99 ! [V_l,V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__antisym,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => V_m = V_n ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__trans,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_eq__imp__le,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( V_m = V_n
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__le__linear,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__refl,axiom,
% 201.01/200.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__mult__distrib2,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__mult__distrib,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__commute,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__mult__1,axiom,
% 201.01/200.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__1__eq__mult__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 201.01/200.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.01/200.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__mult__1__right,axiom,
% 201.01/200.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__mult__eq__1__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.01/200.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.01/200.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__less__SucD,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__lessD,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__SucE,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => V_m = V_n ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__trans__Suc,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__lessI,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__SucI,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__antisym,axiom,
% 201.01/200.99 ! [V_m,V_n] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 201.01/200.99 => V_m = V_n ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_not__less__less__Suc__eq,axiom,
% 201.01/200.99 ! [V_m_2,V_n_2] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 201.01/200.99 <=> V_n_2 = V_m_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__mult__less__cancel1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__less__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__Suc__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.01/200.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 | V_m_2 = V_n_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_not__less__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__mult__le__cancel1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__leD,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__SucE,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__SucI,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__le__mono,axiom,
% 201.01/200.99 ! [V_m_2,V_n_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__Suc__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.01/200.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_not__less__eq__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__n__not__le__n,axiom,
% 201.01/200.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__or__eq__imp__le,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 | V_m = V_n )
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__neq__implies__less,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => ( V_m != V_n
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__imp__le__nat,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__eq__less__or__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 | V_m_2 = V_n_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__less__le,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 & V_m_2 != V_n_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__diff__diff,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__Suc__Suc,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__less__mono2,axiom,
% 201.01/200.99 ! [V_l,V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__imp__diff__less,axiom,
% 201.01/200.99 ! [V_n,V_k,V_j] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__diff__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Nat_Odiff__diff__eq,axiom,
% 201.01/200.99 ! [V_n,V_m,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_eq__diff__iff,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> V_m_2 = V_n_2 ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__diff__cancel,axiom,
% 201.01/200.99 ! [V_n,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__le__mono,axiom,
% 201.01/200.99 ! [V_l,V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__le__mono2,axiom,
% 201.01/200.99 ! [V_l,V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__le__self,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__le__lessD,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__less__Suc__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 201.01/200.99 <=> V_n_2 = V_m_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__leI,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__imp__less__Suc,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__le__eq,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__1__mult,axiom,
% 201.01/200.99 ! [V_n,V_m,T_a] :
% 201.01/200.99 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 201.01/200.99 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => ? [B_y_H] :
% 201.01/200.99 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 201.01/200.99 & 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Inf__fin_Oclosed,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Lattices_Olattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( ! [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))))))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card_Oremove,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_termination__basic__simps_I5_J,axiom,
% 201.01/200.99 ! [V_y,V_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__Un__disjoint,axiom,
% 201.01/200.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( 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))
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card_Oinsert__remove,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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)))))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__fold__sup,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__mult__commute,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__mult__distrib2,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__mult__assoc,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__mult__distrib,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__right__cancel,axiom,
% 201.01/200.99 ! [V_n_2,V_k_2,V_m_2] :
% 201.01/200.99 ( 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)
% 201.01/200.99 <=> V_m_2 = V_n_2 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__left__cancel,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)
% 201.01/200.99 <=> V_m_2 = V_n_2 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__assoc,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__left__commute,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__commute,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__right__imp__eq,axiom,
% 201.01/200.99 ! [V_c,V_a,V_b,T_a] :
% 201.01/200.99 ( class_Groups_Ocancel__semigroup__add(T_a)
% 201.01/200.99 => ( 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)
% 201.01/200.99 => V_b = V_c ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__imp__eq,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( 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)
% 201.01/200.99 => V_b = V_c ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__left__imp__eq,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ocancel__semigroup__add(T_a)
% 201.01/200.99 => ( 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)
% 201.01/200.99 => V_b = V_c ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__right__cancel,axiom,
% 201.01/200.99 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 201.01/200.99 ( class_Groups_Ocancel__semigroup__add(T_b)
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> V_b_2 = V_c_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__left__cancel,axiom,
% 201.01/200.99 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Groups_Ocancel__semigroup__add(T_b)
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> V_b_2 = V_c_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oab__semigroup__add(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 201.01/200.99 ! [V_c,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 201.01/200.99 ! [V_d,V_c,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 201.01/200.99 ! [V_d,V_c,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 201.01/200.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 201.01/200.99 ! [V_z,V_y,V_x,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_crossproduct__noteq,axiom,
% 201.01/200.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.01/200.99 => ( ( V_a_2 != V_b_2
% 201.01/200.99 & V_c_2 != V_d_2 )
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__class_Odistrib,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 201.01/200.99 ! [V_b,V_m,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_combine__common__factor,axiom,
% 201.01/200.99 ! [V_c,V_b,V_e,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Osemiring(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_crossproduct__eq,axiom,
% 201.01/200.99 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 201.01/200.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.01/200.99 => ( 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))
% 201.01/200.99 <=> ( V_w_2 = V_x_2
% 201.01/200.99 | V_y_2 = V_z_2 ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_termination__basic__simps_I1_J,axiom,
% 201.01/200.99 ! [V_z,V_y,V_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_termination__basic__simps_I2_J,axiom,
% 201.01/200.99 ! [V_y,V_z,V_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_termination__basic__simps_I3_J,axiom,
% 201.01/200.99 ! [V_z,V_y,V_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_termination__basic__simps_I4_J,axiom,
% 201.01/200.99 ! [V_y,V_z,V_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__cancel__right,axiom,
% 201.01/200.99 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__cancel__left,axiom,
% 201.01/200.99 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__right__mono,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__left__mono,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__mono,axiom,
% 201.01/200.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__imp__le__right,axiom,
% 201.01/200.99 ! [V_b,V_c,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__imp__le__left,axiom,
% 201.01/200.99 ! [V_b,V_a,V_c,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__cancel__right,axiom,
% 201.01/200.99 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__cancel__left,axiom,
% 201.01/200.99 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__strict__right__mono,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__strict__left__mono,axiom,
% 201.01/200.99 ! [V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__strict__mono,axiom,
% 201.01/200.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__imp__less__right,axiom,
% 201.01/200.99 ! [V_b,V_c,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__imp__less__left,axiom,
% 201.01/200.99 ! [V_b,V_a,V_c,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_finite__UnionD,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 201.01/200.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__add__cancel,axiom,
% 201.01/200.99 ! [V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ogroup__add(T_a)
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__diff__cancel,axiom,
% 201.01/200.99 ! [V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Ogroup__add(T_a)
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__Suc__right,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__Suc,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__Suc__shift,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__Suc,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_mult__Suc__right,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_not__add__less1,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_not__add__less2,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__left__cancel__less,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_trans__less__add1,axiom,
% 201.01/200.99 ! [V_m,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_trans__less__add2,axiom,
% 201.01/200.99 ! [V_m,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__mono1,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__mono,axiom,
% 201.01/200.99 ! [V_l,V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__eq__less,axiom,
% 201.01/200.99 ! [V_n,V_m,V_l,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 201.01/200.99 => ( 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)
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__lessD1,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( 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))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add2,axiom,
% 201.01/200.99 ! [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))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add1,axiom,
% 201.01/200.99 ! [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))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__iff__add,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__add__left__cancel__le,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_trans__le__add1,axiom,
% 201.01/200.99 ! [V_m,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_trans__le__add2,axiom,
% 201.01/200.99 ! [V_m,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__mono1,axiom,
% 201.01/200.99 ! [V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__mono,axiom,
% 201.01/200.99 ! [V_l,V_k,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__leD2,axiom,
% 201.01/200.99 ! [V_n,V_k,V_m] :
% 201.01/200.99 ( 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))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__leD1,axiom,
% 201.01/200.99 ! [V_n,V_k,V_m] :
% 201.01/200.99 ( 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))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__leE,axiom,
% 201.01/200.99 ! [V_n,V_k,V_m] :
% 201.01/200.99 ( 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))
% 201.01/200.99 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__add__inverse2,axiom,
% 201.01/200.99 ! [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 ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__add__inverse,axiom,
% 201.01/200.99 ! [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 ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__diff__left,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__cancel,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__cancel2,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__empty,axiom,
% 201.01/200.99 ! [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 ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__one,axiom,
% 201.01/200.99 ! [V_a,T_a] :
% 201.01/200.99 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/200.99 => 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)))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_eq__add__iff2,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oring(T_b)
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_eq__add__iff1,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oring(T_b)
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> 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 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 201.01/200.99 ! [V_m,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 201.01/200.99 ! [V_a,V_m,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 201.01/200.99 ! [V_m,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__less__le__mono,axiom,
% 201.01/200.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__le__less__mono,axiom,
% 201.01/200.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/200.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add__iff2,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oordered__ring(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add__iff1,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oordered__ring(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__iff2,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oordered__ring(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__iff1,axiom,
% 201.01/200.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Rings_Oordered__ring(T_b)
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__iff__Suc__add,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/200.99 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__Suc2,axiom,
% 201.01/200.99 ! [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)))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__add__Suc1,axiom,
% 201.01/200.99 ! [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)))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__diff__conv,axiom,
% 201.01/200.99 ! [V_k_2,V_j_2,V_i_2] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 <=> 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__diff__inverse,axiom,
% 201.01/200.99 ! [V_n,V_m] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__diff__right,axiom,
% 201.01/200.99 ! [V_i,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__diff__conv,axiom,
% 201.01/200.99 ! [V_i_2,V_k_2,V_j_2] :
% 201.01/200.99 ( 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))
% 201.01/200.99 <=> 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add__diff,axiom,
% 201.01/200.99 ! [V_m,V_n,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add__diff__inverse,axiom,
% 201.01/200.99 ! [V_m,V_n] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__diff__assoc,axiom,
% 201.01/200.99 ! [V_i,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__diff__conv2,axiom,
% 201.01/200.99 ! [V_i_2,V_j_2,V_k_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__add__diff__inverse2,axiom,
% 201.01/200.99 ! [V_m,V_n] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le__imp__diff__is__add,axiom,
% 201.01/200.99 ! [V_k_2,V_j_2,V_i_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/200.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 201.01/200.99 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__add__assoc,axiom,
% 201.01/200.99 ! [V_i,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_add__diff__assoc2,axiom,
% 201.01/200.99 ! [V_i,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__add__assoc2,axiom,
% 201.01/200.99 ! [V_i,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__eq__plus1__left,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Suc__eq__plus1,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 201.01/200.99 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__Suc__diff__eq1,axiom,
% 201.01/200.99 ! [V_m,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_diff__Suc__diff__eq2,axiom,
% 201.01/200.99 ! [V_m,V_j,V_k] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_linorder__neqE__linordered__idom,axiom,
% 201.01/200.99 ! [V_y,V_x,T_a] :
% 201.01/200.99 ( class_Rings_Olinordered__idom(T_a)
% 201.01/200.99 => ( V_x != V_y
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 201.01/200.99 ! [V_b,V_a,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 201.01/200.99 ! [V_ry,V_rx,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 201.01/200.99 ! [V_ry,V_rx,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 201.01/200.99 ! [V_rx,V_ly,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 201.01/200.99 ! [V_rx,V_ly,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 201.01/200.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 201.01/200.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 201.01/200.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 201.01/200.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card_Ounion__inter,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Un__Int,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__insert,axiom,
% 201.01/200.99 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Oab__semigroup__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_sup__Sup__fold__sup,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__fin__Sup,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Un__disjoint,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( 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))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card_Oinsert,axiom,
% 201.01/200.99 ! [V_x_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__Un__Int,axiom,
% 201.01/200.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__less__add__iff2,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__less__add__iff1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__le__add__iff1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__diff__add__eq1,axiom,
% 201.01/200.99 ! [V_n,V_m,V_u,V_i,V_j] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__eq__add__iff1,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> 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 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__le__add__iff2,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/200.99 => ( 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)))
% 201.01/200.99 <=> 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__diff__add__eq2,axiom,
% 201.01/200.99 ! [V_n,V_m,V_u,V_j,V_i] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_nat__eq__add__iff2,axiom,
% 201.01/200.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/200.99 => ( 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)
% 201.01/200.99 <=> 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__binary,axiom,
% 201.01/200.99 ! [V_b_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_UnionI,axiom,
% 201.01/200.99 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__empty,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__mono,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( 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))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__upper,axiom,
% 201.01/200.99 ! [V_A_2,V_B_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__insert,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Un__eq__Union,axiom,
% 201.01/200.99 ! [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))))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__Un__distrib,axiom,
% 201.01/200.99 ! [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)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__disjoint,axiom,
% 201.01/200.99 ! [V_A_2,V_C_2,T_b] :
% 201.01/200.99 ( 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))
% 201.01/200.99 <=> ! [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Union__Int__subset,axiom,
% 201.01/200.99 ! [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)))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__le__iff,axiom,
% 201.01/200.99 ! [V_b_2,V_A_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => ( 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))
% 201.01/200.99 <=> ! [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_left__add__mult__distrib,axiom,
% 201.01/200.99 ! [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) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__Sup__iff,axiom,
% 201.01/200.99 ! [V_S_2,V_a_2,T_b] :
% 201.01/200.99 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 & class_Orderings_Olinorder(T_b) )
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 201.01/200.99 <=> ? [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/200.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__upper,axiom,
% 201.01/200.99 ! [V_A_2,V_x_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__empty,axiom,
% 201.01/200.99 ! [T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => 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) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__singleton,axiom,
% 201.01/200.99 ! [V_a_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => 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 ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Sup__insert,axiom,
% 201.01/200.99 ! [V_A_2,V_a_2,T_b] :
% 201.01/200.99 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/200.99 => 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)) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__monoid__big_OF__eq,axiom,
% 201.01/200.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/200.99 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.99 => 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) )
% 201.01/200.99 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__Un__one,axiom,
% 201.01/200.99 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_finite__Union,axiom,
% 201.01/200.99 ! [V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 201.01/200.99 => ( ! [B_M] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 201.01/200.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 201.01/200.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 => hAPP(V_g_2,B_x) = V_z_2 )
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 201.01/200.99 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/200.99 => ( 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))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => ~ ! [B_y] :
% 201.01/200.99 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 201.01/200.99 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff1,axiom,
% 201.01/200.99 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Oab__group__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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)) )
% 201.01/200.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff1__ring,axiom,
% 201.01/200.99 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Rings_Oring(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff1_H,axiom,
% 201.01/200.99 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum_Oremove,axiom,
% 201.01/200.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum_Oinsert,axiom,
% 201.01/200.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__insert,axiom,
% 201.01/200.99 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/200.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__Un__Int,axiom,
% 201.01/200.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff,axiom,
% 201.01/200.99 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Oab__group__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff__nat,axiom,
% 201.01/200.99 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum_Oinsert__remove,axiom,
% 201.01/200.99 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__Un__disjoint,axiom,
% 201.01/200.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => ( 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))
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__Un,axiom,
% 201.01/200.99 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Oab__group__add(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__diff1__nat,axiom,
% 201.01/200.99 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 201.01/200.99 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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)) )
% 201.01/200.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/200.99 => 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) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__Un__nat,axiom,
% 201.01/200.99 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/200.99 => 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))) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 201.01/200.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/200.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/200.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/200.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_insert__partition,axiom,
% 201.01/200.99 ! [V_F_2,V_x_2,T_b] :
% 201.01/200.99 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 => ! [B_xa] :
% 201.01/200.99 ( 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)))
% 201.01/200.99 => ( B_x != B_xa
% 201.01/200.99 => 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)) ) ) )
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_Powp__mono,axiom,
% 201.01/200.99 ! [V_B_2,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/200.99 => 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))) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setsum__strict__mono,axiom,
% 201.01/200.99 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/200.99 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/200.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.01/200.99 => 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))) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_setprod_Oremove,axiom,
% 201.01/200.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/200.99 => 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)))))) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_convex__bound__lt,axiom,
% 201.01/200.99 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 201.01/200.99 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 201.01/200.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 201.01/200.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 201.01/200.99 => 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)) ) ) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__partition,axiom,
% 201.01/200.99 ! [V_k_2,V_C_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 201.01/200.99 => ( ! [B_c] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 201.01/200.99 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 201.01/200.99 => ( ! [B_c1] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 201.01/200.99 => ! [B_c2] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 201.01/200.99 => ( B_c1 != B_c2
% 201.01/200.99 => 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)) ) ) )
% 201.01/200.99 => 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)) ) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__1,axiom,
% 201.01/200.99 ! [V_f_2,V_S_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/200.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_card__Plus,axiom,
% 201.01/200.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/200.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/200.99 => 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)) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_fold__image__cong,axiom,
% 201.01/200.99 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/200.99 ( class_Groups_Oab__semigroup__mult(T_c)
% 201.01/200.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/200.99 => ( ! [B_x] :
% 201.01/200.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/200.99 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 201.01/200.99 => 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) ) ) ) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_less__zeroE,axiom,
% 201.01/200.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_le0,axiom,
% 201.01/200.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_zero__less__Suc,axiom,
% 201.01/200.99 ! [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))) ).
% 201.01/200.99
% 201.01/200.99 fof(fact_zero__reorient,axiom,
% 201.01/200.99 ! [V_x_2,T_b] :
% 201.01/200.99 ( class_Groups_Ozero(T_b)
% 201.01/200.99 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 201.01/200.99 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__zero__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 201.01/201.00 & class_Rings_Ono__zero__divisors(T_c) )
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> ? [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__zero,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Rings_Ocomm__semiring__1(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ? [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__pos__nat__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__0__iff,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 201.01/201.00 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 201.01/201.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__0__left,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Omonoid__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__0,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_double__zero__sym,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 201.01/201.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__0__right,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Omonoid__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add_Ocomm__neutral,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divisors__zero,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ono__zero__divisors(T_a)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_no__zero__divisors,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ono__zero__divisors(T_a)
% 201.01/201.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__eq__0__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Oring__no__zero__divisors(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__zero__right,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Omult__zero(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__zero__left,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Omult__zero(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_right__minus__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 <=> V_a_2 = V_b_2 ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_eq__iff__diff__eq__0,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.00 => ( V_a_2 = V_b_2
% 201.01/201.00 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__self,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__0__right,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__neq__one,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Ozero__neq__one(T_a)
% 201.01/201.00 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_one__neq__zero,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Ozero__neq__one(T_a)
% 201.01/201.00 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__eq__0__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_F_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Suc__neq__Zero,axiom,
% 201.01/201.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Zero__neq__Suc,axiom,
% 201.01/201.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat_Osimps_I3_J,axiom,
% 201.01/201.00 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Suc__not__Zero,axiom,
% 201.01/201.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat_Osimps_I2_J,axiom,
% 201.01/201.00 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Zero__not__Suc,axiom,
% 201.01/201.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_gr0I,axiom,
% 201.01/201.00 ! [V_n] :
% 201.01/201.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_gr__implies__not0,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.00 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__nat__zero__code,axiom,
% 201.01/201.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_neq0__conv,axiom,
% 201.01/201.00 ! [V_n_2] :
% 201.01/201.00 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_not__less0,axiom,
% 201.01/201.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_plus__nat_Oadd__0,axiom,
% 201.01/201.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Nat_Oadd__0__right,axiom,
% 201.01/201.00 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__is__0,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__eq__self__zero,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 201.01/201.00 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_le__0__eq,axiom,
% 201.01/201.00 ! [V_n_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 201.01/201.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 201.01/201.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diffs0__imp__equal,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => V_m = V_n ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__self__eq__0,axiom,
% 201.01/201.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_minus__nat_Odiff__0,axiom,
% 201.01/201.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__0__eq__0,axiom,
% 201.01/201.00 ! [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) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( 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)
% 201.01/201.00 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 | V_m_2 = V_n_2 ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__cancel2,axiom,
% 201.01/201.00 ! [V_n_2,V_k_2,V_m_2] :
% 201.01/201.00 ( 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)
% 201.01/201.00 <=> ( V_m_2 = V_n_2
% 201.01/201.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( 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)
% 201.01/201.00 <=> ( V_m_2 = V_n_2
% 201.01/201.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__is__0,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__0__right,axiom,
% 201.01/201.00 ! [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) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__0,axiom,
% 201.01/201.00 ! [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) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Oempty,axiom,
% 201.01/201.00 ! [V_g_2,T_c,T_b] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__empty,axiom,
% 201.01/201.00 ! [V_f_2,T_c,T_b] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Oinfinite,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__infinite,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__eq__1__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_F_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_finite__Plus__iff,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_finite__Plus,axiom,
% 201.01/201.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_finite__PlusD_I1_J,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_finite__PlusD_I2_J,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__Plus__conv__if,axiom,
% 201.01/201.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.00 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__nonneg__nonneg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__nonneg__eq__0__iff,axiom,
% 201.01/201.00 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__increasing,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__increasing2,axiom,
% 201.01/201.00 ! [V_a,V_b,V_c,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__nonpos__nonpos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_split__mult__neg__le,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.01/201.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_split__mult__pos__le,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__ring(T_a)
% 201.01/201.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__mono,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__mono_H,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__left__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__ring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__right__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__ring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__mult__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__comm__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__right__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__nonpos__nonpos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__ring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__nonpos__nonneg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__nonneg__nonpos2,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__nonneg__nonpos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__nonneg__nonneg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__0__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__le__mult__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__le__square,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring(T_a)
% 201.01/201.00 => 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__pos__pos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__neg__neg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pos__add__strict,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_not__square__less__zero,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring(T_a)
% 201.01/201.00 => ~ 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel__right__disj,axiom,
% 201.01/201.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel__left__disj,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel__left__pos,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__pos__pos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__pos__neg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__pos__neg2,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__mult__pos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__mult__pos2,axiom,
% 201.01/201.00 ! [V_a,V_b,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel__left__neg,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__neg__pos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__neg__neg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__right__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_comm__mult__strict__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__right__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__left__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_le__iff__diff__le__0,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.01/201.00 <=> 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__iff__diff__less__0,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.01/201.00 <=> 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__scale__eq__noteq,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 201.01/201.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 201.01/201.00 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( ( V_a = V_b
% 201.01/201.00 & V_c != V_d )
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_sum__squares__eq__zero__iff,axiom,
% 201.01/201.00 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__le__one,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_not__one__le__zero,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => ~ 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_not__one__less__zero,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__one,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum_Oempty,axiom,
% 201.01/201.00 ! [V_g_2,T_c,T_b] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__empty,axiom,
% 201.01/201.00 ! [V_f_2,T_c,T_b] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__infinite,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum_Oinfinite,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__eq__Suc0__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> ? [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.00 & ! [B_xa] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.01/201.00 => ( B_x != B_xa
% 201.01/201.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_gr0__conv__Suc,axiom,
% 201.01/201.00 ! [V_n_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.01/201.00 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__Suc0,axiom,
% 201.01/201.00 ! [V_n_2] :
% 201.01/201.00 ( 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))))
% 201.01/201.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__Suc__eq__0__disj,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.01/201.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 | ? [B_j] :
% 201.01/201.00 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__is__1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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))
% 201.01/201.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_one__is__add,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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)
% 201.01/201.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__gr__0,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 201.01/201.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card_Oempty,axiom,
% 201.01/201.00 ! [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) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__infinite,axiom,
% 201.01/201.00 ! [V_A_2,T_b] :
% 201.01/201.00 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__eq__1__iff,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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))
% 201.01/201.00 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__less,axiom,
% 201.01/201.00 ! [V_m,V_n] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.01/201.00 => 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)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__diff,axiom,
% 201.01/201.00 ! [V_m_2,V_n_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__mult__less__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__mult__eq__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> V_m_2 = V_n_2 ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__mono2,axiom,
% 201.01/201.00 ! [V_k,V_j,V_i] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__mono1,axiom,
% 201.01/201.00 ! [V_k,V_j,V_i] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel2,axiom,
% 201.01/201.00 ! [V_n_2,V_k_2,V_m_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__0__less__mult__iff,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__add__0,axiom,
% 201.01/201.00 ! [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) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__is__0__eq_H,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/201.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__is__0__eq,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__eq__1__iff,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> ? [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.01/201.00 & ! [B_xa] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.01/201.00 => ( B_x != B_xa
% 201.01/201.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_One__nat__def,axiom,
% 201.01/201.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__eq__self__implies__10,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 201.01/201.00 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 201.01/201.00 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__nonpos__neg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__neg__nonpos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__strict__increasing2,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__strict__increasing,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__nonneg__pos,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__pos__nonneg,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__left__le__imp__le,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__right__le__imp__le,axiom,
% 201.01/201.00 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__imp__less__left,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__left__less__imp__less,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__imp__less__right,axiom,
% 201.01/201.00 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__right__less__imp__less,axiom,
% 201.01/201.00 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring(T_a)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__less__imp__less,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__less__le__imp__less,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__mono_H,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__strict__mono,axiom,
% 201.01/201.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__cancel__left__neg,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__cancel__left__pos,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_sum__squares__le__zero__iff,axiom,
% 201.01/201.00 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_sum__squares__ge__zero,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring(T_a)
% 201.01/201.00 => 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)))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_not__sum__squares__lt__zero,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__ring(T_a)
% 201.01/201.00 => ~ 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_sum__squares__gt__zero__iff,axiom,
% 201.01/201.00 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 201.01/201.00 => ( 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))))
% 201.01/201.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__left__le__one__le,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__right__le__one__le,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__two,axiom,
% 201.01/201.00 ! [T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.00 => 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)))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__eq__0__iff,axiom,
% 201.01/201.00 ! [V_A_2,T_b] :
% 201.01/201.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.00 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__ge__0__finite,axiom,
% 201.01/201.00 ! [V_A_2,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Suc__pred,axiom,
% 201.01/201.00 ! [V_n] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.00 => 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 ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__Suc__less,axiom,
% 201.01/201.00 ! [V_i,V_n] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_n__less__m__mult__n,axiom,
% 201.01/201.00 ! [V_m,V_n] :
% 201.01/201.00 ( 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))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_n__less__n__mult__m,axiom,
% 201.01/201.00 ! [V_m,V_n] :
% 201.01/201.00 ( 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))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_one__less__mult,axiom,
% 201.01/201.00 ! [V_m,V_n] :
% 201.01/201.00 ( 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))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__diff__split__asm,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_P_2] :
% 201.01/201.00 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 201.01/201.00 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.00 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.01/201.00 | ? [B_d] :
% 201.01/201.00 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 201.01/201.00 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__diff__split,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_P_2] :
% 201.01/201.00 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.00 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.01/201.00 & ! [B_d] :
% 201.01/201.00 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 201.01/201.00 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_one__le__mult__iff,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( 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))
% 201.01/201.00 & 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)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nat__mult__le__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__cancel2,axiom,
% 201.01/201.00 ! [V_n_2,V_k_2,V_m_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__le__cancel1,axiom,
% 201.01/201.00 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Oinsert,axiom,
% 201.01/201.00 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__insert,axiom,
% 201.01/201.00 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__Un__Int,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Ounion__inter,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Oeq__fold,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_OF__eq,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_convex__bound__le,axiom,
% 201.01/201.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 201.01/201.00 ( class_Rings_Olinordered__semiring__1(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 201.01/201.00 => 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)) ) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Oinsert__remove,axiom,
% 201.01/201.00 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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)))))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__Un__disjoint,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Ounion__disjoint,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__gt__0__iff,axiom,
% 201.01/201.00 ! [V_A_2,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum_Oeq__fold,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum_OF__eq,axiom,
% 201.01/201.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => 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) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Suc__pred_H,axiom,
% 201.01/201.00 ! [V_n] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.00 => 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Suc__diff__1,axiom,
% 201.01/201.00 ! [V_n] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.00 => 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 ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__eq__if,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 201.01/201.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => 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)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__eq__if,axiom,
% 201.01/201.00 ! [V_n,V_m] :
% 201.01/201.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => 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)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_even__less__0__iff,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__mono2,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.00 => ( ! [B_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Plus__eq__empty__conv,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.00 ( 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))
% 201.01/201.00 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.00 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card_Ounion__inter__neutral,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( ( ? [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)))
% 201.01/201.00 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__Un__one,axiom,
% 201.01/201.00 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 201.01/201.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__Un__zero,axiom,
% 201.01/201.00 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_bot__nat__def,axiom,
% 201.01/201.00 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_double__eq__0__iff,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card__Suc__eq,axiom,
% 201.01/201.00 ! [V_k_2,V_A_2,T_b] :
% 201.01/201.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 201.01/201.00 <=> ? [B_b,B_B] :
% 201.01/201.00 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 201.01/201.00 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 201.01/201.00 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 201.01/201.00 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.00 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__mono3,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 201.01/201.00 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__odd__less__0,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__diff1,axiom,
% 201.01/201.00 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Fields_Ofield(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 201.01/201.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.00 => 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) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_ex__least__nat__less,axiom,
% 201.01/201.00 ! [V_n_2,V_P_2] :
% 201.01/201.00 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 201.01/201.00 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 201.01/201.00 => ? [B_k] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 201.01/201.00 & ! [B_i] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 201.01/201.00 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 201.01/201.00 & 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)))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__mono__one__left,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/201.00 => 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) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__mono__one__right,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 201.01/201.00 => 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) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__mono__zero__left,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__zero__left,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__zero,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__divide__distrib,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_times__divide__eq__right,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__divide__distrib,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__1,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_eq__divide__imp,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 201.01/201.00 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__eq__imp,axiom,
% 201.01/201.00 ! [V_a,V_b,V_c,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 201.01/201.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nonzero__divide__eq__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_b)
% 201.01/201.00 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 201.01/201.00 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_nonzero__eq__divide__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_b)
% 201.01/201.00 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 201.01/201.00 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__self__if,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 201.01/201.00 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 201.01/201.00 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__self,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_right__inverse__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.00 ( class_Rings_Odivision__ring(T_b)
% 201.01/201.00 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.00 <=> V_a_2 = V_b_2 ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__0,axiom,
% 201.01/201.00 ! [T_b] :
% 201.01/201.00 ( class_Rings_Oring__1(T_b)
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__add,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Oring__1(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__mult,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Oring__1(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__diff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Rings_Oring__1(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__1,axiom,
% 201.01/201.00 ! [T_b] :
% 201.01/201.00 ( class_Rings_Oring__1(T_b)
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__double__eq__0__iff,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Int_Oring__char__0(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Ints__odd__nonzero,axiom,
% 201.01/201.00 ! [V_a_2,T_b] :
% 201.01/201.00 ( class_Int_Oring__char__0(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_le__divide__eq,axiom,
% 201.01/201.00 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => 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))) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__le__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => 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))) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pos__le__divide__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pos__divide__le__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__imp__div__pos__le,axiom,
% 201.01/201.00 ! [V_z,V_x,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__imp__le__div__pos,axiom,
% 201.01/201.00 ! [V_x,V_z,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_neg__le__divide__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_neg__divide__le__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_times__divide__times__eq,axiom,
% 201.01/201.00 ! [V_w,V_z,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__le__divide__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__le__0__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__right__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__right__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__strict__right__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__strict__right__mono,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__neg__neg,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__neg__pos,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__pos__neg,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__pos__pos,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__less__0__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_zero__less__divide__iff,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 201.01/201.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_eq__divide__eq,axiom,
% 201.01/201.00 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 201.01/201.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 201.01/201.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__eq__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 201.01/201.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 201.01/201.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__divide__mult__cancel__right,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__divide__mult__cancel__left,axiom,
% 201.01/201.00 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_frac__eq__eq,axiom,
% 201.01/201.00 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 201.01/201.00 ( class_Fields_Ofield(T_b)
% 201.01/201.00 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.00 => ( 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)
% 201.01/201.00 <=> 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) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__nonneg__pos,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__nonneg__neg,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_frac__less2,axiom,
% 201.01/201.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_frac__less,axiom,
% 201.01/201.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_frac__le,axiom,
% 201.01/201.00 ! [V_z,V_w,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 201.01/201.00 => 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))) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__nonpos__pos,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__nonpos__neg,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__strict__left__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__strict__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_neg__divide__less__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_neg__less__divide__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__imp__less__div__pos,axiom,
% 201.01/201.00 ! [V_x,V_z,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( 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))
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_mult__imp__div__pos__less,axiom,
% 201.01/201.00 ! [V_z,V_x,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pos__divide__less__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pos__less__divide__eq,axiom,
% 201.01/201.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__less__eq,axiom,
% 201.01/201.00 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => 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))) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__divide__eq,axiom,
% 201.01/201.00 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.00 => ( 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)))
% 201.01/201.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => 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)) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => 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))) )
% 201.01/201.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__frac__eq,axiom,
% 201.01/201.00 ! [V_w,V_x,V_z,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__add__eq__iff,axiom,
% 201.01/201.00 ! [V_y,V_x,V_z,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__frac__num,axiom,
% 201.01/201.00 ! [V_z,V_x,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__divide__eq__iff,axiom,
% 201.01/201.00 ! [V_y,V_x,V_z,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_add__num__frac,axiom,
% 201.01/201.00 ! [V_x,V_z,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__divide__eq__iff,axiom,
% 201.01/201.00 ! [V_y,V_x,V_z,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__diff__eq__iff,axiom,
% 201.01/201.00 ! [V_y,V_x,V_z,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_diff__frac__eq,axiom,
% 201.01/201.00 ! [V_w,V_x,V_z,V_y,T_a] :
% 201.01/201.00 ( class_Fields_Ofield(T_a)
% 201.01/201.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.00 => 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)) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_gt__half__sum,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => 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)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_less__half__sum,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.00 => 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))))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__left__mono__neg,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_divide__left__mono,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 201.01/201.00 => ( 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)))
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__Un,axiom,
% 201.01/201.00 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Fields_Ofield(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__mono__zero__right,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 201.01/201.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 201.01/201.00 => 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) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_field__le__mult__one__interval,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.00 => ( ! [B_z] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.00 => 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)) ) )
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__pos__nat,axiom,
% 201.01/201.00 ! [V_f_2,V_S_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.00 => 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))) )
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setsum__SucD,axiom,
% 201.01/201.00 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 201.01/201.00 ( 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)
% 201.01/201.00 => ? [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 & 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_card_Oneutral,axiom,
% 201.01/201.00 ! [V_A_2,T_b] :
% 201.01/201.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_inf__le__fold__inf,axiom,
% 201.01/201.00 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 201.01/201.00 ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_fold__sup__le__sup,axiom,
% 201.01/201.00 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 201.01/201.00 ( class_Lattices_Osemilattice__sup(T_b)
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 201.01/201.00 => 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))) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_expand__Suc,axiom,
% 201.01/201.00 ! [V_v] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => 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))) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_UnionE,axiom,
% 201.01/201.00 ! [V_C_2,V_A_2,T_b] :
% 201.01/201.00 ( 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)))
% 201.01/201.00 => ~ ! [B_X] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 201.01/201.00 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__pos,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_c)
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_setprod__nonneg,axiom,
% 201.01/201.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.00 ( class_Rings_Olinordered__semidom(T_c)
% 201.01/201.00 => ( ! [B_x] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 201.01/201.00 => 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))) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_fold1__antimono,axiom,
% 201.01/201.00 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_b)
% 201.01/201.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.00 => 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))) ) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_field__le__epsilon,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.00 => ( ! [B_e] :
% 201.01/201.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 201.01/201.00 => 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))) )
% 201.01/201.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pair__box_Osize_I1_J,axiom,
% 201.01/201.00 ! [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))) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_pair__box_Oinject,axiom,
% 201.01/201.00 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.00 ( 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)
% 201.01/201.00 <=> ( V_a_2 = V_a_H_2
% 201.01/201.00 & V_b_2 = V_b_H_2 ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_Min_Oidem,axiom,
% 201.01/201.00 ! [V_x,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf__assoc,axiom,
% 201.01/201.00 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf_Oassoc,axiom,
% 201.01/201.00 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf__left__commute,axiom,
% 201.01/201.00 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 201.01/201.00 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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)) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf__left__idem,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf__commute,axiom,
% 201.01/201.00 ! [V_y,V_x,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf_Ocommute,axiom,
% 201.01/201.00 ! [V_b,V_a,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => 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) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__max_Oinf_Oidem,axiom,
% 201.01/201.00 ! [V_a,T_a] :
% 201.01/201.00 ( class_Orderings_Olinorder(T_a)
% 201.01/201.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_min__number__of,axiom,
% 201.01/201.00 ! [V_v,V_u,T_b] :
% 201.01/201.00 ( ( class_Int_Onumber(T_b)
% 201.01/201.00 & class_Orderings_Oord(T_b) )
% 201.01/201.00 => ( ( 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)))
% 201.01/201.00 => 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) )
% 201.01/201.00 & ( ~ 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)))
% 201.01/201.00 => 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) ) ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_eq__number__of,axiom,
% 201.01/201.00 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.00 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.00 & class_Int_Oring__char__0(T_b) )
% 201.01/201.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.01/201.00 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.00
% 201.01/201.00 fof(fact_number__of__reorient,axiom,
% 201.01/201.00 ! [V_x_2,V_w_2,T_b] :
% 201.01/201.00 ( class_Int_Onumber(T_b)
% 201.01/201.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 201.01/201.00 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__le1,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__le2,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__iff__inf,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/201.01 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__inf__iff,axiom,
% 201.01/201.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__infI1,axiom,
% 201.01/201.01 ! [V_b,V_x,V_a,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__infI2,axiom,
% 201.01/201.01 ! [V_a,V_x,V_b,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__absorb1,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__absorb2,axiom,
% 201.01/201.01 ! [V_x,V_y,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.01/201.01 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__infI,axiom,
% 201.01/201.01 ! [V_b,V_a,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__greatest,axiom,
% 201.01/201.01 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__mono,axiom,
% 201.01/201.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ole__infE,axiom,
% 201.01/201.01 ! [V_b,V_a,V_x,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/201.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__le__iff__disj,axiom,
% 201.01/201.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__less__iff__disj,axiom,
% 201.01/201.01 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__less__iff__conj,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oless__infI2,axiom,
% 201.01/201.01 ! [V_a,V_x,V_b,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oless__infI1,axiom,
% 201.01/201.01 ! [V_b,V_x,V_a,T_a] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__number__of,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__number__of,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__add__distrib__left,axiom,
% 201.01/201.01 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__diff__distrib__left,axiom,
% 201.01/201.01 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__add,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__number__of__eq,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__number__of__left,axiom,
% 201.01/201.01 ! [V_z,V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__number__of__left,axiom,
% 201.01/201.01 ! [V_z,V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_arith__simps_I32_J,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__mult,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__diff,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_inf__min,axiom,
% 201.01/201.01 ! [T_b] :
% 201.01/201.01 ( ( class_Lattices_Osemilattice__inf(T_b)
% 201.01/201.01 & class_Orderings_Olinorder(T_b) )
% 201.01/201.01 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__0L,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__0R,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__Suc__Suc,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__diff,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 201.01/201.01 ! [T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__number__of__eq__not__less,axiom,
% 201.01/201.01 ! [V_w_2,V_v_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber(T_b)
% 201.01/201.01 & class_Orderings_Olinorder(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ~ 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_left__distrib__number__of,axiom,
% 201.01/201.01 ! [V_v,V_b,V_a,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber(T_b)
% 201.01/201.01 & class_Rings_Osemiring(T_b) )
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_right__distrib__number__of,axiom,
% 201.01/201.01 ! [V_c,V_b,V_v,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber(T_b)
% 201.01/201.01 & class_Rings_Osemiring(T_b) )
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__number__of__diff1,axiom,
% 201.01/201.01 ! [V_c,V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_right__diff__distrib__number__of,axiom,
% 201.01/201.01 ! [V_c,V_b,V_v,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber(T_b)
% 201.01/201.01 & class_Rings_Oring(T_b) )
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_left__diff__distrib__number__of,axiom,
% 201.01/201.01 ! [V_v,V_b,V_a,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber(T_b)
% 201.01/201.01 & class_Rings_Oring(T_b) )
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Ints__number__of,axiom,
% 201.01/201.01 ! [V_w_2,T_b] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__eq__eq__number__of1,axiom,
% 201.01/201.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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
% 201.01/201.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__eq__eq__number__of,axiom,
% 201.01/201.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)
% 201.01/201.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__divide__eq__number__of,axiom,
% 201.01/201.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)
% 201.01/201.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => 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 )
% 201.01/201.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__divide__eq__number__of1,axiom,
% 201.01/201.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => 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 )
% 201.01/201.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ofold__inf__insert,axiom,
% 201.01/201.01 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__divide__eq__number__of1,axiom,
% 201.01/201.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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))))
% 201.01/201.01 <=> ( ( 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)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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)))) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__divide__eq__number__of,axiom,
% 201.01/201.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__less__eq__number__of,axiom,
% 201.01/201.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => 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))) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__less__eq__number__of1,axiom,
% 201.01/201.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( ( 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)))
% 201.01/201.01 => 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)))) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Ofold1__belowI,axiom,
% 201.01/201.01 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.01 => 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)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_fold1__below__iff,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ? [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_fold1__strict__below__iff,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ? [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_strict__below__fold1__iff,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__le__eq__number__of1,axiom,
% 201.01/201.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( ( 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)))
% 201.01/201.01 => 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)))) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__le__eq__number__of,axiom,
% 201.01/201.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => 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))) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__divide__eq__number__of,axiom,
% 201.01/201.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 201.01/201.01 => 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))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__divide__eq__number__of1,axiom,
% 201.01/201.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber(T_b) )
% 201.01/201.01 => ( 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))))
% 201.01/201.01 <=> ( ( 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)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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)))) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pair__box_Osize_I2_J,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pair__box_Osimps_I2_J,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pair__box_Orecs,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__ord__min,axiom,
% 201.01/201.01 ! [T_b] :
% 201.01/201.01 ( class_Orderings_Oord(T_b)
% 201.01/201.01 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oremove,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => ( ( hAPP(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))
% 201.01/201.01 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 201.01/201.01 & ( hAPP(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))
% 201.01/201.01 => 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)))))) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => ( ( hAPP(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))
% 201.01/201.01 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 201.01/201.01 & ( hAPP(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))
% 201.01/201.01 => 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)))))) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oeq__fold_H,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_inf__nat__def,axiom,
% 201.01/201.01 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__eq__number__of__int__code,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_times__numeral__code_I5_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__number__of__int__code,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_plus__numeral__code_I9_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__imp__0__less,axiom,
% 201.01/201.01 ! [V_z] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__one__le__iff__zero__less,axiom,
% 201.01/201.01 ! [V_z_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pos__zmult__eq__1__iff,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 201.01/201.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.01 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.01 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__zless__mono2,axiom,
% 201.01/201.01 ! [V_k,V_j,V_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__bin__lemma,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 201.01/201.01 <=> 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__0__less__1,axiom,
% 201.01/201.01 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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__0__right,axiom,
% 201.01/201.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__0,axiom,
% 201.01/201.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 201.01/201.01
% 201.01/201.01 fof(fact_odd__nonzero,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_odd__less__0,axiom,
% 201.01/201.01 ! [V_z_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__add1__eq,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( 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))))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 201.01/201.01 | V_w_2 = V_z_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__strict__right__mono,axiom,
% 201.01/201.01 ! [V_k,V_j,V_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__commute,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__left__commute,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__assoc,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__zmult__distrib,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__zmult__distrib2,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__linear,axiom,
% 201.01/201.01 ! [V_y,V_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 201.01/201.01 | V_x = V_y
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiff__zmult__distrib,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiff__zmult__distrib2,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__commute,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__assoc,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__1,axiom,
% 201.01/201.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__1__right,axiom,
% 201.01/201.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__le,axiom,
% 201.01/201.01 ! [V_w_2,V_z_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 201.01/201.01 & V_z_2 != V_w_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__refl,axiom,
% 201.01/201.01 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__linear,axiom,
% 201.01/201.01 ! [V_w,V_z] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__trans,axiom,
% 201.01/201.01 ! [V_k,V_j,V_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__antisym,axiom,
% 201.01/201.01 ! [V_w,V_z] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 201.01/201.01 => V_z = V_w ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__diff1__eq,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( 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))))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__zless__mono,axiom,
% 201.01/201.01 ! [V_z,V_z_H,V_w,V_w_H] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__left__mono,axiom,
% 201.01/201.01 ! [V_k,V_j,V_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__add1__eq__le,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( 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))))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add1__zle__eq,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( 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))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__imp__add1__zle,axiom,
% 201.01/201.01 ! [V_z,V_w] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Osingleton,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__le,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => 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)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__in,axiom,
% 201.01/201.01 ! [V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oin__idem,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 201.01/201.01 ! [V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_OF__eq,axiom,
% 201.01/201.01 ! [V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__antimono,axiom,
% 201.01/201.01 ! [V_N_2,V_M_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 201.01/201.01 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.01 => 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))) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 201.01/201.01 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__insert,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Osubset__idem,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__Un,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 201.01/201.01 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ( hAPP(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))
% 201.01/201.01 => 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 )
% 201.01/201.01 & ( hAPP(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))
% 201.01/201.01 => 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)))))) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => 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)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oinsert,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oinsert__remove,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ( hAPP(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))
% 201.01/201.01 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 201.01/201.01 & ( hAPP(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))
% 201.01/201.01 => 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)))))) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Ounion__inter,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Ounion__disjoint,axiom,
% 201.01/201.01 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => 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)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_self__quotient__aux1,axiom,
% 201.01/201.01 ! [V_q,V_r,V_a] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_self__quotient__aux2,axiom,
% 201.01/201.01 ! [V_q,V_r,V_a] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.01 => ( 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))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_q__pos__lemma,axiom,
% 201.01/201.01 ! [V_r_H,V_q_H,V_b_H] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_q__neg__lemma,axiom,
% 201.01/201.01 ! [V_r_H,V_q_H,V_b_H] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_unique__quotient__lemma,axiom,
% 201.01/201.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiv__mono2__lemma,axiom,
% 201.01/201.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 201.01/201.01 ( 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)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_unique__quotient__lemma__neg,axiom,
% 201.01/201.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__is__id,axiom,
% 201.01/201.01 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__0__neq__1,axiom,
% 201.01/201.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 201.01/201.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 201.01/201.01 ( 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)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 201.01/201.01 ! [V_y,V_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 201.01/201.01 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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 201.01/201.01 ! [V_y,V_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 201.01/201.01 ! [V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( ! [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))))))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min_Oclosed,axiom,
% 201.01/201.01 ! [V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.01 => ( ! [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))))))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 201.01/201.01 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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__number__of__lemma,axiom,
% 201.01/201.01 ! [V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__eq__iff,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2,T_b] :
% 201.01/201.01 ( class_Nat_Osemiring__char__0(T_b)
% 201.01/201.01 => ( 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)
% 201.01/201.01 <=> V_m_2 = V_n_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 201.01/201.01 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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 201.01/201.01 ! [V_P_2] :
% 201.01/201.01 ( ? [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.01 & hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.01 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 201.01/201.01 ! [V_P_2] :
% 201.01/201.01 ( ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.01 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.01 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 201.01/201.01 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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__0,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__eq__0__conv,axiom,
% 201.01/201.01 ! [V_n_2] :
% 201.01/201.01 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__zle__int,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__less__0__conv,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__int,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__int,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__int__left,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__int,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zle__iff__zadd,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 201.01/201.01 <=> ? [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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__le__imp__of__nat,axiom,
% 201.01/201.01 ! [V_m,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__0__le__iff,axiom,
% 201.01/201.01 ! [V_n,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__less__0__iff,axiom,
% 201.01/201.01 ! [V_m,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.01 => ~ 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__int,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__mult,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__0,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__less__imp__less,axiom,
% 201.01/201.01 ! [V_n,V_m,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__imp__of__nat__less,axiom,
% 201.01/201.01 ! [V_n,V_m,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__less__iff,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2,T_b] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__1,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__le__iff,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2,T_b] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__add,axiom,
% 201.01/201.01 ! [V_n,V_m,T_a] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__mult,axiom,
% 201.01/201.01 ! [V_n,V_m,T_a] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__1,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Ints__of__nat,axiom,
% 201.01/201.01 ! [V_n_2,T_b] :
% 201.01/201.01 ( class_Rings_Oring__1(T_b)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__le__0__conv,axiom,
% 201.01/201.01 ! [V_n_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__Suc0__eq__1,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zless__iff__Suc__zadd,axiom,
% 201.01/201.01 ! [V_z_2,V_w_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 201.01/201.01 <=> ? [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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__Suc,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiff__int,axiom,
% 201.01/201.01 ! [V_m,V_n] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__Suc,axiom,
% 201.01/201.01 ! [V_m,T_a] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__diff,axiom,
% 201.01/201.01 ! [V_m,V_n,T_a] :
% 201.01/201.01 ( class_Rings_Oring__1(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__less__int__conv,axiom,
% 201.01/201.01 ! [V_n_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__zless__mono2__lemma,axiom,
% 201.01/201.01 ! [V_k,V_j,V_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__0__less__iff,axiom,
% 201.01/201.01 ! [V_n_2,T_b] :
% 201.01/201.01 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zdiff__int__split,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,V_P_2] :
% 201.01/201.01 ( 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))))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 201.01/201.01 => 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)))) )
% 201.01/201.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.01 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_setsum__bounded,axiom,
% 201.01/201.01 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.01 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 201.01/201.01 & class_Rings_Osemiring__1(T_c) )
% 201.01/201.01 => ( ! [B_i] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_tsub__def,axiom,
% 201.01/201.01 ! [V_x,V_y] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.01/201.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.01/201.01 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__number__of__eq,axiom,
% 201.01/201.01 ! [V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__number__of__mult__left,axiom,
% 201.01/201.01 ! [V_k,V_v_H,V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__nat__number__of,axiom,
% 201.01/201.01 ! [V_v_H,V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 201.01/201.01 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__int__eq,axiom,
% 201.01/201.01 ! [V_n_2,V_m_2] :
% 201.01/201.01 ( 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)
% 201.01/201.01 <=> V_m_2 = V_n_2 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2] :
% 201.01/201.01 ( 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)
% 201.01/201.01 <=> V_x_2 = V_y_2 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__neg__int,axiom,
% 201.01/201.01 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__neg__number__of__Pls,axiom,
% 201.01/201.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Pls__def,axiom,
% 201.01/201.01 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I19_J,axiom,
% 201.01/201.01 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I2_J,axiom,
% 201.01/201.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Pls__right,axiom,
% 201.01/201.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Pls,axiom,
% 201.01/201.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__Pls,axiom,
% 201.01/201.01 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I1_J,axiom,
% 201.01/201.01 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__neg__0,axiom,
% 201.01/201.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__neg__1,axiom,
% 201.01/201.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_semiring__norm_I112_J,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__Pls,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__numeral__0,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__numeral__0__right,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of2,axiom,
% 201.01/201.01 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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_bin__less__0__simps_I1_J,axiom,
% 201.01/201.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__number__of__Pls,axiom,
% 201.01/201.01 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_semiring__norm_I113_J,axiom,
% 201.01/201.01 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__is__num__zero,axiom,
% 201.01/201.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__neg__eq__ge__0,axiom,
% 201.01/201.01 ! [V_x_2] :
% 201.01/201.01 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__def,axiom,
% 201.01/201.01 ! [V_Z_2] :
% 201.01/201.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__Numeral0,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.01 & class_Int_Onumber__ring(T_a) )
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__number__of__0,axiom,
% 201.01/201.01 ! [V_v_2] :
% 201.01/201.01 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__0__number__of,axiom,
% 201.01/201.01 ! [V_v_2] :
% 201.01/201.01 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__nat__number__of,axiom,
% 201.01/201.01 ! [V_v_H_2,V_v_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__nat__number__of,axiom,
% 201.01/201.01 ! [V_v_H_2,V_v_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__imp__number__of__eq__0,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__nat__number__of,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__special_I3_J,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__special_I1_J,axiom,
% 201.01/201.01 ! [V_y_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__special_I1_J,axiom,
% 201.01/201.01 ! [V_y_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__special_I3_J,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__0__number__of,axiom,
% 201.01/201.01 ! [V_v_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__nat__number__of,axiom,
% 201.01/201.01 ! [V_v_H,V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 201.01/201.01 => 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)) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__nat__number__of,axiom,
% 201.01/201.01 ! [V_v_H_2,V_v_2] :
% 201.01/201.01 ( 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)
% 201.01/201.01 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 201.01/201.01 => 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))) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 201.01/201.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 201.01/201.01 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__number__of__add__left,axiom,
% 201.01/201.01 ! [V_k,V_v_H,V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.01 => 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) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 201.01/201.01 ! [V_y,V_x] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_tsub__eq,axiom,
% 201.01/201.01 ! [V_x,V_y] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 201.01/201.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Suc__nat__number__of__add,axiom,
% 201.01/201.01 ! [V_n,V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Suc__nat__number__of,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__1__add__number__of,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__number__of__add__1,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__number__of__diff__1,axiom,
% 201.01/201.01 ! [V_v] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nats__number__of,axiom,
% 201.01/201.01 ! [V_w_2,T_b] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Suc__diff__number__of,axiom,
% 201.01/201.01 ! [V_m,V_v] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_succ__pred,axiom,
% 201.01/201.01 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__iff__pred__less,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pred__def,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_succ__def,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nats__0,axiom,
% 201.01/201.01 ! [T_b] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nats__add,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nats__mult,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nats__1,axiom,
% 201.01/201.01 ! [T_b] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_of__nat__in__Nats,axiom,
% 201.01/201.01 ! [V_n_2,T_b] :
% 201.01/201.01 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__succ,axiom,
% 201.01/201.01 ! [V_k,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__number__of__pred__iff__0,axiom,
% 201.01/201.01 ! [V_v_2] :
% 201.01/201.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 201.01/201.01 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_decr__mult__lemma,axiom,
% 201.01/201.01 ! [V_k_2,V_P_2,V_d_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.01/201.01 => ( ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.01 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.01 => ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.01 => 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)))) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_incr__mult__lemma,axiom,
% 201.01/201.01 ! [V_k_2,V_P_2,V_d_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.01/201.01 => ( ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.01 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.01 => ! [B_x] :
% 201.01/201.01 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.01 => 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)))) ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__less__imp__eq__int,axiom,
% 201.01/201.01 ! [V_k] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.01/201.01 => ? [B_n] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 201.01/201.01 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_incr__lemma,axiom,
% 201.01/201.01 ! [V_x,V_z,V_d] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_decr__lemma,axiom,
% 201.01/201.01 ! [V_z,V_x,V_d] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Min__eqI,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.01 ( class_Orderings_Olinorder(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.01 => ( ! [B_y] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.01 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 201.01/201.01 ! [V_m,V_n] :
% 201.01/201.01 ( 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))
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__idempotent,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I51_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 201.01/201.01 <=> V_k_2 = V_l_2 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__ge__self,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__le__D1,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__eq__0,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__zero,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__add__abs,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__mult__self,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__mult,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__minus__commute,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__one,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__of__nat,axiom,
% 201.01/201.01 ! [V_n,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__divide,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__int__eq,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__eq__int__code_I16_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I34_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I17_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__int__code_I16_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I46_J,axiom,
% 201.01/201.01 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I39_J,axiom,
% 201.01/201.01 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__of__nonneg,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__le__zero__iff,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__ge__zero,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__not__less__zero,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ~ 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__less__abs__iff,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__of__pos,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__triangle__ineq,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__mult__less,axiom,
% 201.01/201.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 201.01/201.01 => 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))) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__triangle__ineq3,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__triangle__ineq2,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__triangle__ineq2__sym,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nonzero__abs__divide,axiom,
% 201.01/201.01 ! [V_a,V_b,T_a] :
% 201.01/201.01 ( class_Fields_Olinordered__field(T_a)
% 201.01/201.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_bin__less__0__simps_I4_J,axiom,
% 201.01/201.01 ! [V_w_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__zmult__eq__1,axiom,
% 201.01/201.01 ! [V_n,V_m] :
% 201.01/201.01 ( 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)
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I22_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I12_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Bit1__def,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__number__of__Bit1,axiom,
% 201.01/201.01 ! [V_w_2] :
% 201.01/201.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 201.01/201.01 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_succ__Pls,axiom,
% 201.01/201.01 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__mult__pos,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__eq__mult,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Oordered__ring__abs(T_a)
% 201.01/201.01 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 201.01/201.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__triangle__ineq4,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__diff__triangle__ineq,axiom,
% 201.01/201.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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))))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__div__pos,axiom,
% 201.01/201.01 ! [V_x,V_y,T_a] :
% 201.01/201.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__Bit1,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zabs__less__one__iff,axiom,
% 201.01/201.01 ! [V_z_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__numeral__1,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__numeral__1__right,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_semiring__norm_I110_J,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_numeral__1__eq__1,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I5_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I29_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__numeral__1,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( ( class_Fields_Ofield(T_a)
% 201.01/201.01 & class_Int_Onumber__ring(T_a) )
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_divide__Numeral1,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( ( class_Fields_Ofield(T_a)
% 201.01/201.01 & class_Int_Onumber__ring(T_a) )
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_one__is__num__one,axiom,
% 201.01/201.01 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Numeral1__eq1__nat,axiom,
% 201.01/201.01 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nat__numeral__1__eq__1,axiom,
% 201.01/201.01 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_numeral__1__eq__Suc__0,axiom,
% 201.01/201.01 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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_numeral__3__eq__3,axiom,
% 201.01/201.01 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)))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 201.01/201.01 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))))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Suc3__eq__add__3,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 201.01/201.01 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)))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__special_I2_J,axiom,
% 201.01/201.01 ! [V_y_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__special_I4_J,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__special_I2_J,axiom,
% 201.01/201.01 ! [V_y_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__special_I4_J,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_b) )
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__special_I3_J,axiom,
% 201.01/201.01 ! [V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__special_I2_J,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_one__code__numeral__code,axiom,
% 201.01/201.01 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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__special_I2_J,axiom,
% 201.01/201.01 ! [V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__special_I1_J,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__2__cases,axiom,
% 201.01/201.01 ! [V_n] :
% 201.01/201.01 ( 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)))))
% 201.01/201.01 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.01 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_half__gt__zero__iff,axiom,
% 201.01/201.01 ! [V_r_2,T_b] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 201.01/201.01 & class_Int_Onumber__ring(T_b) )
% 201.01/201.01 => ( 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))))))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_half__gt__zero,axiom,
% 201.01/201.01 ! [V_r,T_a] :
% 201.01/201.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 201.01/201.01 & class_Int_Onumber__ring(T_a) )
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 201.01/201.01 => 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)))))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_negative__zle,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_negative__zless,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__minus,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_arith__simps_I30_J,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_code__numeral__zero__minus__one,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zminus__zminus,axiom,
% 201.01/201.01 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__Bit0,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I48_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 201.01/201.01 <=> V_k_2 = V_l_2 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_double__compl,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_uminus__apply,axiom,
% 201.01/201.01 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.01 ( class_Groups_Ouminus(T_b)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__eq__compl__iff,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 201.01/201.01 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__minus,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_equation__minus__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.01/201.01 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__equation__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 201.01/201.01 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__equal__iff__equal,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.01/201.01 <=> V_a_2 = V_b_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__number__of__mult,axiom,
% 201.01/201.01 ! [V_z,V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__imp__neg__le,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__le__iff__le,axiom,
% 201.01/201.01 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__le__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__minus__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__mono,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__le__compl__iff,axiom,
% 201.01/201.01 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__zero,axiom,
% 201.01/201.01 ! [T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__0__equal__iff__equal,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 201.01/201.01 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_equal__neg__zero,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.01 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 201.01/201.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__equal__0__iff__equal,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__equal__zero,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.01 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 201.01/201.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__less__iff__less,axiom,
% 201.01/201.01 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__less__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__minus__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__add__distrib,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oab__group__add(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__add,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__minus__cancel,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__add__cancel,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_square__eq__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Oidom(T_b)
% 201.01/201.01 => ( 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)
% 201.01/201.01 <=> ( V_a_2 = V_b_2
% 201.01/201.01 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__mult__minus,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Oring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__mult__commute,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Oring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__mult__left,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Oring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__mult__right,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Oring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__diff__eq,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oab__group__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I31_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__eq__int__code_I13_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__int__code_I13_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I14_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zminus__0,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Bit0__Pls,axiom,
% 201.01/201.01 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I38_J,axiom,
% 201.01/201.01 ! [V_l_2] :
% 201.01/201.01 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 201.01/201.01 <=> c_Int_OPls = V_l_2 ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I44_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 201.01/201.01 <=> V_k_2 = c_Int_OPls ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I49_J,axiom,
% 201.01/201.01 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I50_J,axiom,
% 201.01/201.01 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Bit0__def,axiom,
% 201.01/201.01 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Bit0__Bit0,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__divide__left,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__divide__right,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__divide__divide,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__Bit0,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__minus__cancel,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__Pls,axiom,
% 201.01/201.01 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zminus__zadd__distrib,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__numeral__code_I5_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I7_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zmult__zminus,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__0__le__iff__le,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_le__minus__self__iff,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__le__0__iff__le,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__le__self__iff,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__minus__self__iff,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__0__less__iff__less,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__less__0__iff__less,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.01 => ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__less__nonneg,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_right__minus,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_b)
% 201.01/201.01 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 201.01/201.01 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_left__minus,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_ab__left__minus,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oab__group__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__unique,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.01 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__0,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Rings_Ocomm__ring__1(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__minus__eq__add,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_ab__diff__minus,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oab__group__add(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__def,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Ogroup__add(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( class_Rings_Ocomm__ring__1(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_square__eq__1__iff,axiom,
% 201.01/201.01 ! [V_x_2,T_b] :
% 201.01/201.01 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.01/201.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.01 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.01 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__inf__bot,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_inf__compl__bot,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__eq,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__sup,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_compl__inf,axiom,
% 201.01/201.01 ! [V_y,V_x,T_a] :
% 201.01/201.01 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nonzero__minus__divide__right,axiom,
% 201.01/201.01 ! [V_a,V_b,T_a] :
% 201.01/201.01 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.01 => 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)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_nonzero__minus__divide__divide,axiom,
% 201.01/201.01 ! [V_a,V_b,T_a] :
% 201.01/201.01 ( class_Rings_Odivision__ring(T_a)
% 201.01/201.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.01 => 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) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__le__D2,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__leI,axiom,
% 201.01/201.01 ! [V_b,V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 201.01/201.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__le__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.01 => ( 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))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.01/201.01 & 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)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__ge__minus__self,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__less__iff,axiom,
% 201.01/201.01 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 201.01/201.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.01/201.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_bin__less__0__simps_I3_J,axiom,
% 201.01/201.01 ! [V_w_2] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I27_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I21_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__eq__int__code_I14_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I32_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I4_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I10_J,axiom,
% 201.01/201.01 ! [V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I16_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__int__code_I15_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Bit1__Bit0,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Bit0__Bit1,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zadd__zminus__inverse2,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_negative__eq__positive,axiom,
% 201.01/201.01 ! [V_m_2,V_n_2] :
% 201.01/201.01 ( 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)
% 201.01/201.01 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.01 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I3_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I9_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I10_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__int__zless__negative,axiom,
% 201.01/201.01 ! [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)))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__int__def__symmetric,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__int__def,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_Ints__minus,axiom,
% 201.01/201.01 ! [V_a_2,T_b] :
% 201.01/201.01 ( class_Rings_Oring__1(T_b)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.01 => 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))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__number__of__Bit0,axiom,
% 201.01/201.01 ! [V_w_2] :
% 201.01/201.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 201.01/201.01 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pred__Bit0,axiom,
% 201.01/201.01 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_pred__Bit1,axiom,
% 201.01/201.01 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__Bit1,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_succ__Bit1,axiom,
% 201.01/201.01 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_succ__Bit0,axiom,
% 201.01/201.01 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__Bit0,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__of__nonpos,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__minus__le__zero,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__of__neg,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 201.01/201.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__if,axiom,
% 201.01/201.01 ! [V_a,T_a] :
% 201.01/201.01 ( class_Groups_Oabs__if(T_a)
% 201.01/201.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__eq__int__code_I15_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I33_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_less__int__code_I14_J,axiom,
% 201.01/201.01 ! [V_k2_2,V_k1_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_rel__simps_I15_J,axiom,
% 201.01/201.01 ! [V_l_2,V_k_2] :
% 201.01/201.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 201.01/201.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__number__of__eq,axiom,
% 201.01/201.01 ! [V_w,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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))) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__Bit1,axiom,
% 201.01/201.01 ! [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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_int__zle__neg,axiom,
% 201.01/201.01 ! [V_m_2,V_n_2] :
% 201.01/201.01 ( 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))))
% 201.01/201.01 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.01 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_negative__zle__0,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_minus__numeral__code_I6_J,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zabs__def,axiom,
% 201.01/201.01 ! [V_i] :
% 201.01/201.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 201.01/201.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.01 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_neg__zminus__int,axiom,
% 201.01/201.01 ! [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))))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_diff__bin__simps_I8_J,axiom,
% 201.01/201.01 ! [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)) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__Bit1__Bit1,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_zero__code__numeral__code,axiom,
% 201.01/201.01 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) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_double__number__of__Bit0,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_abs__number__of,axiom,
% 201.01/201.01 ! [V_x,T_a] :
% 201.01/201.01 ( ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 & class_Rings_Olinordered__idom(T_a) )
% 201.01/201.01 => ( ( 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)))
% 201.01/201.01 => 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)) )
% 201.01/201.01 & ( ~ 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)))
% 201.01/201.01 => 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) ) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_add__number__of__diff2,axiom,
% 201.01/201.01 ! [V_w,V_c,V_v,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of1,axiom,
% 201.01/201.01 ! [V_n] :
% 201.01/201.01 ( 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)))
% 201.01/201.01 => ( 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))))
% 201.01/201.01 & 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)))) ) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_number__of__pred,axiom,
% 201.01/201.01 ! [V_w,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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)) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_not__zle__0__negative,axiom,
% 201.01/201.01 ! [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))))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_negative__zless__0,axiom,
% 201.01/201.01 ! [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))) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__2,axiom,
% 201.01/201.01 ! [V_z,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.01 => 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) ) ).
% 201.01/201.01
% 201.01/201.01 fof(fact_mult__2__right,axiom,
% 201.01/201.01 ! [V_z,T_a] :
% 201.01/201.01 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__add__one__is__two,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_numeral__2__eq__2,axiom,
% 201.01/201.02 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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_semiring__norm_I115_J,axiom,
% 201.01/201.02 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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 201.01/201.02 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))))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_add__2__eq__Suc,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_add__2__eq__Suc_H,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__2,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__2__right,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 201.01/201.02 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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__1__add__1,axiom,
% 201.01/201.02 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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__special_I4_J,axiom,
% 201.01/201.02 ! [V_x_2,T_b] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.02 <=> 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))))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__special_I2_J,axiom,
% 201.01/201.02 ! [V_y_2,T_b] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.01/201.02 <=> 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__zmod__mult__2,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__number__of__Bit1,axiom,
% 201.01/201.02 ! [V_v,V_w] :
% 201.01/201.02 ( ( 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)))
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( ~ 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)))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__zmod__mult__2,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__zdiv__mult__2,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_ComplI,axiom,
% 201.01/201.02 ! [V_A_2,V_c_2,T_b] :
% 201.01/201.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zdiv__trivial,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__div__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_DIVISION__BY__ZERO,axiom,
% 201.01/201.02 ! [V_a] :
% 201.01/201.02 ( 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)
% 201.01/201.02 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mod__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zadd1__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mod__equality,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mod__equality2,axiom,
% 201.01/201.02 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__div__equality,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__div__equality2,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zdiv__equality,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zmult1__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zmod__equality,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zmod__equality2,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zdiv__equality_H,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult__div__cancel,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__by__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__self,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__cong,axiom,
% 201.01/201.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.01/201.02 => 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) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__simps_I1_J,axiom,
% 201.01/201.02 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__simps_I2_J,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__left__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__right__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__self1,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__add__self2,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__cong,axiom,
% 201.01/201.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.01/201.02 => 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) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__simps_I4_J,axiom,
% 201.01/201.02 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__mult2,axiom,
% 201.01/201.02 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__mult1,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__left__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__right__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__diff__right__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__diff__left__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__diff__eq,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__diff__cong,axiom,
% 201.01/201.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 201.01/201.02 => 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) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__minus__cong,axiom,
% 201.01/201.02 ! [V_a_H,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__minus__eq,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Oring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_ComplE,axiom,
% 201.01/201.02 ! [V_A_2,V_c_2,T_b] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_ComplD,axiom,
% 201.01/201.02 ! [V_A_2,V_c_2,T_b] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__iff,axiom,
% 201.01/201.02 ! [V_A_2,V_c_2,T_b] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zero,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zero,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__self,axiom,
% 201.01/201.02 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__anti__mono,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__subset__Compl__iff,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zminus__zminus,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zminus2,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__simps_I3_J,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zmult1__eq,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiff__zmod__right,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiff__zmod__left,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zminus__zmod,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus__zminus,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus2,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__by__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__by__1,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self2__is__0,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self1__is__0,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zmult2__eq,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self1,axiom,
% 201.01/201.02 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self2,axiom,
% 201.01/201.02 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__by__1,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zminus1__eq__if,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zminus2__eq__if,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_iszero__0,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_iszero__def,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.02 => ( c_Int_Oiszero(T_b,V_z_2)
% 201.01/201.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_not__iszero__1,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 201.01/201.02 ! [V_a_2,V_b_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 201.01/201.02 ! [V_a_2,V_b_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__neg__pos__less0,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__self,axiom,
% 201.01/201.02 ! [V_a] :
% 201.01/201.02 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_subset__Compl__self__eq,axiom,
% 201.01/201.02 ! [V_A_2,T_b] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__le__nonneg__dividend,axiom,
% 201.01/201.02 ! [V_k,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__mod__bound,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__mod__bound,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__disjoint,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__disjoint2,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__number__of__Bit0,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__eq__0__iff,axiom,
% 201.01/201.02 ! [V_d_2,V_m_2] :
% 201.01/201.02 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__Un,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__Int,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus1__not__zero,axiom,
% 201.01/201.02 ! [V_l,V_k] :
% 201.01/201.02 ( 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)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus2__not__zero,axiom,
% 201.01/201.02 ! [V_l,V_k] :
% 201.01/201.02 ( 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)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__Diff__eq,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Diff__Compl,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Diff__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__mult1__if,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self2__is__id,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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 ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self1__is__id,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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 ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__mult2,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__mult1,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__self,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__neg__lemma,axiom,
% 201.01/201.02 ! [V_n_2,V_P_2,V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> ! [B_i,B_j] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__pos__lemma,axiom,
% 201.01/201.02 ! [V_n_2,V_P_2,V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> ! [B_i,B_j] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__mono1__neg,axiom,
% 201.01/201.02 ! [V_b,V_a_H,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__mono1,axiom,
% 201.01/201.02 ! [V_b,V_a_H,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__neg__neg__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__mono2__neg,axiom,
% 201.01/201.02 ! [V_b,V_b_H,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__nonpos__pos__le0,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 201.01/201.02 ! [V_a_2,V_b_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__pos__pos__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__nonneg__neg__le0,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__mono2,axiom,
% 201.01/201.02 ! [V_b,V_b_H,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 201.01/201.02 ! [V_b_2,V_a_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 201.01/201.02 ! [V_i_2,V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 201.01/201.02 ! [V_a_2,V_b_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__eq__0__iff,axiom,
% 201.01/201.02 ! [V_k_2,V_i_2] :
% 201.01/201.02 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 201.01/201.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__div__less__self,axiom,
% 201.01/201.02 ! [V_k,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__zmult2__eq,axiom,
% 201.01/201.02 ! [V_b,V_a,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__neg__neg__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__mod__conj,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 & 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__mod__sign,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__pos__pos__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__mod__conj,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 & 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__mod__sign,axiom,
% 201.01/201.02 ! [V_a,V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_disjoint__eq__subset__Compl,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( 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))
% 201.01/201.02 <=> 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus2__eq__if,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__zminus1__eq__if,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self1,axiom,
% 201.01/201.02 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self2,axiom,
% 201.01/201.02 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__add__self2,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__add__self1,axiom,
% 201.01/201.02 ! [V_a,V_b,T_a] :
% 201.01/201.02 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_iszero__Numeral0,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_iszero__number__of__Bit1,axiom,
% 201.01/201.02 ! [V_w,T_a] :
% 201.01/201.02 ( ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 & class_Int_Oring__char__0(T_a) )
% 201.01/201.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_iszero__number__of__Bit0,axiom,
% 201.01/201.02 ! [V_w_2,T_b] :
% 201.01/201.02 ( ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 & class_Int_Oring__char__0(T_b) )
% 201.01/201.02 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 201.01/201.02 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__pos__neg__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_divmod__int__rel__div__eq,axiom,
% 201.01/201.02 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 201.01/201.02 ( 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)
% 201.01/201.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.01/201.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__zdiv,axiom,
% 201.01/201.02 ! [V_k_2,V_n_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 201.01/201.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.02 => ! [B_i] :
% 201.01/201.02 ( ? [B_j] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 201.01/201.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ! [B_i] :
% 201.01/201.02 ( ? [B_j] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_divmod__int__rel__mod__eq,axiom,
% 201.01/201.02 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 201.01/201.02 ( 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)
% 201.01/201.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.01/201.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult2__lemma__aux2,axiom,
% 201.01/201.02 ! [V_q,V_r,V_b,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult2__lemma__aux1,axiom,
% 201.01/201.02 ! [V_q,V_r,V_b,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult2__lemma__aux4,axiom,
% 201.01/201.02 ! [V_q,V_b,V_r,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult2__lemma__aux3,axiom,
% 201.01/201.02 ! [V_q,V_b,V_r,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__zmod,axiom,
% 201.01/201.02 ! [V_k_2,V_n_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 201.01/201.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 201.01/201.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 201.01/201.02 => ! [B_i,B_j] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 201.01/201.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ! [B_i,B_j] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 & 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) )
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__number__of__Bit0,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_not__iszero__Numeral1,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__number__of__eq,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.01/201.02 <=> 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__number__of__Bit1,axiom,
% 201.01/201.02 ! [V_v,V_w] :
% 201.01/201.02 ( ( 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)))
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( ~ 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)))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__special_I3_J,axiom,
% 201.01/201.02 ! [V_x_2,T_b] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 <=> 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__special_I1_J,axiom,
% 201.01/201.02 ! [V_y_2,T_b] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_b)
% 201.01/201.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 201.01/201.02 <=> 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__zdiv__mult__2,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__of__aux__code,axiom,
% 201.01/201.02 ! [V_n,V_i] :
% 201.01/201.02 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.02 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 201.01/201.02 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_z3div__def,axiom,
% 201.01/201.02 ! [V_k,V_l] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.02 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_z3mod__def,axiom,
% 201.01/201.02 ! [V_k,V_l] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.02 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__nat__double,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__minus1__odd,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_odd__power__less__zero,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_double__complement,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__eq__Compl__iff,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( 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)
% 201.01/201.02 <=> V_A_2 = V_B_2 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 201.01/201.02 ! [V_n,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__add1__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__power__eq,axiom,
% 201.01/201.02 ! [V_n,V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult1__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult2__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Omod__div__equality_H,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mult__div__cancel,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mod__equality_H,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__power,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zpower__int,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 201.01/201.02 ! [V_q,V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__le__dividend,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__le__mono,axiom,
% 201.01/201.02 ! [V_k,V_n,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult2__eq,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__less,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__less__eq__dividend,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__distrib2,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__distrib,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__int,axiom,
% 201.01/201.02 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 201.01/201.02 ! [V_q,V_p,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zpower__zpower,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zpower__zmod,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__nat__number__of__number__of,axiom,
% 201.01/201.02 ! [V_w,V_v] :
% 201.01/201.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__nat__number__of,axiom,
% 201.01/201.02 ! [V_n,V_v] :
% 201.01/201.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__div__distrib,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mod__distrib,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__1,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__less,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__div__cancel__disj,axiom,
% 201.01/201.02 ! [V_n,V_m,V_k] :
% 201.01/201.02 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 201.01/201.02 ! [V_q,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 201.01/201.02 ! [V_q,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 201.01/201.02 ! [V_q,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 201.01/201.02 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__0,axiom,
% 201.01/201.02 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__Suc,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.02 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__1,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__less__divisor,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 201.01/201.02 ! [V_q,V_p,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_ex__nat,axiom,
% 201.01/201.02 ! [V_P_2] :
% 201.01/201.02 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.02 <=> ? [B_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.02 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_all__nat,axiom,
% 201.01/201.02 ! [V_P_2] :
% 201.01/201.02 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.02 <=> ! [B_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.02 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.01/201.02 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 201.01/201.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__nat__nat__iff,axiom,
% 201.01/201.02 ! [V_z_H_2,V_z_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 201.01/201.02 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 201.01/201.02 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__eq__0__iff,axiom,
% 201.01/201.02 ! [V_d_2,V_m_2] :
% 201.01/201.02 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 201.01/201.02 ! [V_n,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__geq,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__if,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self3,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_le__mod__geq,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__int,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__number__of,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__number__of__def,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zpower__zadd__distrib,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 201.01/201.02 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__int,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__nat,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 201.01/201.02 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_not__neg__nat,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 201.01/201.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Ints__power,axiom,
% 201.01/201.02 ! [V_n_2,V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Oring__1(T_b)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__nat__number__of,axiom,
% 201.01/201.02 ! [V_v_H,V_v] :
% 201.01/201.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__nat__number__of,axiom,
% 201.01/201.02 ! [V_v_H,V_v] :
% 201.01/201.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 201.01/201.02 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.02 => 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))) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__div__nat__number__of,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__le__mono2,axiom,
% 201.01/201.02 ! [V_k,V_n,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__div__cancel1,axiom,
% 201.01/201.02 ! [V_n,V_m,V_k] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self__is__m,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__mult__self1__is__m,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__less__dividend,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__0__iff,axiom,
% 201.01/201.02 ! [V_i_2] :
% 201.01/201.02 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__le__0,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mono__iff,axiom,
% 201.01/201.02 ! [V_w_2,V_z_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zless__nat__conj,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__le__divisor,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__1,axiom,
% 201.01/201.02 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__mult__self4,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__nat__eq,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__eq__iff,axiom,
% 201.01/201.02 ! [V_z_2,V_m_2] :
% 201.01/201.02 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 201.01/201.02 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 201.01/201.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__0__le,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zless__nat__eq__int__zless,axiom,
% 201.01/201.02 ! [V_z_2,V_m_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 201.01/201.02 <=> 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__zminus__int,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__le__zpower__abs,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__abs__mult__distrib,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__mod__nat__number__of,axiom,
% 201.01/201.02 ! [V_v_H] :
% 201.01/201.02 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.02 => 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)) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__if,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__geq,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__div,axiom,
% 201.01/201.02 ! [V_k_2,V_n_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 201.01/201.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.01/201.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => ! [B_i,B_j] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 201.01/201.02 => ( 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)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__less__nat__eq,axiom,
% 201.01/201.02 ! [V_z_2] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__less__eq__zless,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__eq__iff,axiom,
% 201.01/201.02 ! [V_m_2,V_w_2] :
% 201.01/201.02 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 201.01/201.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__eq__iff2,axiom,
% 201.01/201.02 ! [V_w_2,V_m_2] :
% 201.01/201.02 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 201.01/201.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__le__eq__zle,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2] :
% 201.01/201.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__nat,axiom,
% 201.01/201.02 ! [V_i_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 201.01/201.02 <=> ( ! [B_n] :
% 201.01/201.02 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_n)) )
% 201.01/201.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__mod,axiom,
% 201.01/201.02 ! [V_k_2,V_n_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 201.01/201.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 201.01/201.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => ! [B_i,B_j] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 201.01/201.02 => ( 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)
% 201.01/201.02 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__lemma,axiom,
% 201.01/201.02 ! [V_q,V_b,V_r,V_c] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__add__distrib,axiom,
% 201.01/201.02 ! [V_z_H,V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power3__eq__cube,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__eq__iff__number__of,axiom,
% 201.01/201.02 ! [V_v_2,V_m_2] :
% 201.01/201.02 ( 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)
% 201.01/201.02 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 201.01/201.02 & 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__distrib,axiom,
% 201.01/201.02 ! [V_z_H,V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__diff__distrib,axiom,
% 201.01/201.02 ! [V_z,V_z_H] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__times__mod__eq,axiom,
% 201.01/201.02 ! [V_m,V_k] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 201.01/201.02 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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__eq__if,axiom,
% 201.01/201.02 ! [V_p,V_m] :
% 201.01/201.02 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 201.01/201.02 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__less__zpower__abs__iff,axiom,
% 201.01/201.02 ! [V_n_2,V_x_2] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 201.01/201.02 ! [V_y,V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_le__div__geq,axiom,
% 201.01/201.02 ! [V_m,V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__div_H,axiom,
% 201.01/201.02 ! [V_n_2,V_m_2,V_P_2] :
% 201.01/201.02 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 201.01/201.02 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 201.01/201.02 | ? [B_q] :
% 201.01/201.02 ( 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))
% 201.01/201.02 & 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))))
% 201.01/201.02 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_split__div__lemma,axiom,
% 201.01/201.02 ! [V_m_2,V_q_2,V_n_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.01/201.02 => ( ( 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))
% 201.01/201.02 & 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)))) )
% 201.01/201.02 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__Suc__eq__div__add3,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__div__eq__add3__div,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div2__Suc__Suc,axiom,
% 201.01/201.02 ! [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))))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_add__self__div__2,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__less__nat__eq,axiom,
% 201.01/201.02 ! [V_z_2] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__less__iff,axiom,
% 201.01/201.02 ! [V_m_2,V_w_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 201.01/201.02 <=> 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 201.01/201.02 ! [V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__eq__power2,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.01/201.02 => ( 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)
% 201.01/201.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__power2,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__eq__square,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod2__Suc__Suc,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__power2,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 201.01/201.02 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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__minus,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__mult__distrib__neg,axiom,
% 201.01/201.02 ! [V_z_H,V_z] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__even__eq,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_abs__power2,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__abs,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__eq__imp__eq,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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))))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.02 => V_x = V_y ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__le__imp__le,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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))))))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__le__power2,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)))))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__less__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ~ 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__less__power2,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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))))))
% 201.01/201.02 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sum__power2__eq__zero__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)
% 201.01/201.02 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__2,axiom,
% 201.01/201.02 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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__eq__square__number__of,axiom,
% 201.01/201.02 ! [V_w,T_b] :
% 201.01/201.02 ( ( class_Groups_Omonoid__mult(T_b)
% 201.01/201.02 & class_Int_Onumber(T_b) )
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__eq__1__iff,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 201.01/201.02 => ( 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)
% 201.01/201.02 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.02 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 201.01/201.02 ! [V_n,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__minus__even,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__2__gt__zero,axiom,
% 201.01/201.02 ! [V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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)))))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__less__imp__less,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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))))))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sum__power2__ge__zero,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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))))))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sum__power2__le__zero__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sum__power2__gt__zero__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))))))
% 201.01/201.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_not__sum__power2__lt__zero,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ~ 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__sum,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__le__even__power_H,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__odd__eq,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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))))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 201.01/201.02 ! [V_n,V_x,T_a] :
% 201.01/201.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mod2__gr__0,axiom,
% 201.01/201.02 ! [V_m_2] :
% 201.01/201.02 ( 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))))))
% 201.01/201.02 <=> 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__minus1__even,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__power__div__base,axiom,
% 201.01/201.02 ! [V_k,V_m] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 201.01/201.02 ! [V_n] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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)))))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power2__diff,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ( 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)))))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__of__code,axiom,
% 201.01/201.02 ! [V_k] :
% 201.01/201.02 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.02 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.02 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.02 => ( ( 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)
% 201.01/201.02 => 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)))))) )
% 201.01/201.02 & ( 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)
% 201.01/201.02 => 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)) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__strict__mono,axiom,
% 201.01/201.02 ! [V_n,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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))) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__diff,axiom,
% 201.01/201.02 ! [V_m,V_n,V_a,T_a] :
% 201.01/201.02 ( class_Fields_Ofield(T_a)
% 201.01/201.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.02 => 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)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__less__power,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__le__imp__le__exp,axiom,
% 201.01/201.02 ! [V_n,V_m,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_field__power__not__zero,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 201.01/201.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__Suc__0,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 201.01/201.02 ! [V_m_2,V_x_2] :
% 201.01/201.02 ( 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))
% 201.01/201.02 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__zero__less__power__iff,axiom,
% 201.01/201.02 ! [V_n_2,V_x_2] :
% 201.01/201.02 ( 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)))
% 201.01/201.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 201.01/201.02 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__power__less__imp__less,axiom,
% 201.01/201.02 ! [V_n,V_m,V_i] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__commutes,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__mult__distrib,axiom,
% 201.01/201.02 ! [V_n,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Ocomm__monoid__mult(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__one,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__nat__power,axiom,
% 201.01/201.02 ! [V_n,V_m,T_a] :
% 201.01/201.02 ( class_Rings_Osemiring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__mult,axiom,
% 201.01/201.02 ! [V_n,V_m,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__divide,axiom,
% 201.01/201.02 ! [V_n,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__abs,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__one__right,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__le__power,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__mono,axiom,
% 201.01/201.02 ! [V_n,V_b,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__less__power,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__eq__0__iff,axiom,
% 201.01/201.02 ! [V_n_2,V_a_2,T_b] :
% 201.01/201.02 ( ( class_Power_Opower(T_b)
% 201.01/201.02 & class_Rings_Omult__zero(T_b)
% 201.01/201.02 & class_Rings_Ono__zero__divisors(T_b)
% 201.01/201.02 & class_Rings_Ozero__neq__one(T_b) )
% 201.01/201.02 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_one__le__power,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__0__Suc,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( ( class_Power_Opower(T_a)
% 201.01/201.02 & class_Rings_Osemiring__0(T_a) )
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__inject__exp,axiom,
% 201.01/201.02 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 201.01/201.02 => ( 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)
% 201.01/201.02 <=> V_m_2 = V_n_2 ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__Suc2,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__Suc,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Power_Opower(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__one__le__power,axiom,
% 201.01/201.02 ! [V_n,V_i] :
% 201.01/201.02 ( 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))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__0,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Power_Opower(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__add,axiom,
% 201.01/201.02 ! [V_n,V_m,V_a,T_a] :
% 201.01/201.02 ( class_Groups_Omonoid__mult(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nonzero__power__divide,axiom,
% 201.01/201.02 ! [V_n,V_a,V_b,T_a] :
% 201.01/201.02 ( class_Fields_Ofield(T_a)
% 201.01/201.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__one__over,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_abs__power__minus,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__less__imp__less__base,axiom,
% 201.01/201.02 ! [V_b,V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__le__imp__le__base,axiom,
% 201.01/201.02 ! [V_b,V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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))))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__inject__base,axiom,
% 201.01/201.02 ! [V_b,V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.02 => V_a = V_b ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__less__power__Suc,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__gt1__lemma,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__0__left,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( ( class_Power_Opower(T_a)
% 201.01/201.02 & class_Rings_Osemiring__0(T_a) )
% 201.01/201.02 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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) )
% 201.01/201.02 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__gt1,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__strict__increasing__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__less__imp__less__exp,axiom,
% 201.01/201.02 ! [V_n,V_m,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__strict__increasing,axiom,
% 201.01/201.02 ! [V_a,V_N,V_n,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zero__le__power__abs,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__increasing,axiom,
% 201.01/201.02 ! [V_a,V_N,V_n,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__minus,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__Suc__less,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__eq__imp__eq__base,axiom,
% 201.01/201.02 ! [V_b,V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( 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)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.02 => V_a = V_b ) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__Suc__less__one,axiom,
% 201.01/201.02 ! [V_n,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.02 => 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))) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__strict__decreasing,axiom,
% 201.01/201.02 ! [V_a,V_N,V_n,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.02 => 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))) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__decreasing,axiom,
% 201.01/201.02 ! [V_a,V_N,V_n,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 201.01/201.02 => 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))) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__increasing__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__semidom(T_b)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__aux__def,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_transfer__morphism__nat__int,axiom,
% 201.01/201.02 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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_card__Pow,axiom,
% 201.01/201.02 ! [V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__power__power,axiom,
% 201.01/201.02 ! [T_b] :
% 201.01/201.02 ( class_Power_Opower(T_b)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__m1__odd,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_PowI,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I24_J,axiom,
% 201.01/201.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I7_J,axiom,
% 201.01/201.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I37_J,axiom,
% 201.01/201.02 c_Int_OPls != c_Int_OMin ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I40_J,axiom,
% 201.01/201.02 c_Int_OMin != c_Int_OPls ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I47_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 201.01/201.02 <=> V_k_2 = c_Int_OMin ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I43_J,axiom,
% 201.01/201.02 ! [V_l_2] :
% 201.01/201.02 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 201.01/201.02 <=> c_Int_OMin = V_l_2 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Bit1__Min,axiom,
% 201.01/201.02 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I42_J,axiom,
% 201.01/201.02 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I45_J,axiom,
% 201.01/201.02 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__top,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Union__Pow__eq,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__not__empty,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_bin__less__0__simps_I2_J,axiom,
% 201.01/201.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I20_J,axiom,
% 201.01/201.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I23_J,axiom,
% 201.01/201.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I30_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I26_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I6_J,axiom,
% 201.01/201.02 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I3_J,axiom,
% 201.01/201.02 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I9_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I13_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I28_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I8_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_eq__number__of__Pls__Min,axiom,
% 201.01/201.02 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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Int_OMin__def,axiom,
% 201.01/201.02 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mult__Min,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_neg__number__of__Min,axiom,
% 201.01/201.02 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pred__Pls,axiom,
% 201.01/201.02 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 201.01/201.02
% 201.01/201.02 fof(fact_add__Min__right,axiom,
% 201.01/201.02 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_add__Min,axiom,
% 201.01/201.02 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pred__Min,axiom,
% 201.01/201.02 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nonzero__number__of__Min,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_succ__Min,axiom,
% 201.01/201.02 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 201.01/201.02
% 201.01/201.02 fof(fact_diff__bin__simps_I2_J,axiom,
% 201.01/201.02 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__bottom,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__iff,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_PowD,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__mono,axiom,
% 201.01/201.02 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__Pow__iff,axiom,
% 201.01/201.02 ! [V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 201.01/201.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mult__minus1__right,axiom,
% 201.01/201.02 ! [V_z,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mult__minus1,axiom,
% 201.01/201.02 ! [V_z,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_subset__Pow__Union,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_arith__simps_I31_J,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_number__of__Min,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_abs__minus__one,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 & class_Rings_Olinordered__idom(T_a) )
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_divide__minus1,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.02 & class_Int_Onumber__ring(T_a) )
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I11_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_rel__simps_I25_J,axiom,
% 201.01/201.02 ! [V_k_2] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__minus1__right,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_diff__bin__simps_I4_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_minus__Min,axiom,
% 201.01/201.02 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 201.01/201.02 ! [V_n,V_m] :
% 201.01/201.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.02 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.02 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmult__eq__1__iff,axiom,
% 201.01/201.02 ! [V_n_2,V_m_2] :
% 201.01/201.02 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.02 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 201.01/201.02 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 201.01/201.02 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 201.01/201.02 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_diff__bin__simps_I5_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_diff__bin__simps_I6_J,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power_Opower_Opower__0,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power_Opower_Opower__Suc,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zdiv__minus1__right,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__Int__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_minus1__divide,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 201.01/201.02 & class_Int_Onumber__ring(T_a) )
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_abs__power__minus__one,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 & class_Rings_Olinordered__idom(T_a) )
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__eq__minus1,axiom,
% 201.01/201.02 ! [V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__empty,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Un__Pow__subset,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_div__pos__neg__trivial,axiom,
% 201.01/201.02 ! [V_b,V_a] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zmod__minus1,axiom,
% 201.01/201.02 ! [V_b] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_power__m1__even,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osize_I1_J,axiom,
% 201.01/201.02 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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__of__nat,axiom,
% 201.01/201.02 ! [V_k,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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)))) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => 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)) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_negD,axiom,
% 201.01/201.02 ! [V_x] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.02 => ? [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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osize_I3_J,axiom,
% 201.01/201.02 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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__eq__iff,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2,T_b] :
% 201.01/201.02 ( class_Int_Oring__char__0(T_b)
% 201.01/201.02 => ( 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)
% 201.01/201.02 <=> V_w_2 = V_z_2 ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_number__of__eq,axiom,
% 201.01/201.02 ! [V_k,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__number__of__def,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__int__eq,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__eq__0__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Int_Oring__char__0(T_b)
% 201.01/201.02 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__0__eq__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Int_Oring__char__0(T_b)
% 201.01/201.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 201.01/201.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__0,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__le__iff,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__less__iff,axiom,
% 201.01/201.02 ! [V_z_2,V_w_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__add,axiom,
% 201.01/201.02 ! [V_z,V_w,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__number__of__eq,axiom,
% 201.01/201.02 ! [V_v,T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__mult,axiom,
% 201.01/201.02 ! [V_z,V_w,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__1,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__diff,axiom,
% 201.01/201.02 ! [V_z,V_w,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__of__nat__eq,axiom,
% 201.01/201.02 ! [V_n,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__minus,axiom,
% 201.01/201.02 ! [V_z,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Ints__of__int,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Oring__1(T_b)
% 201.01/201.02 => 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))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__power,axiom,
% 201.01/201.02 ! [V_n,V_z,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__m1,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Int_Onumber__ring(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__0__le__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__le__0__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__less__0__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__int__0__less__iff,axiom,
% 201.01/201.02 ! [V_z_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_of__nat__nat,axiom,
% 201.01/201.02 ! [V_z,T_a] :
% 201.01/201.02 ( class_Rings_Oring__1(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 201.01/201.02 => 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) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osize_I4_J,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osize_I2_J,axiom,
% 201.01/201.02 ! [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))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__neg,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__1__neg,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__sgn,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Oinject,axiom,
% 201.01/201.02 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 201.01/201.02 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 201.01/201.02 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__0__0,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn0,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Groups_Osgn__if(T_a)
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__times,axiom,
% 201.01/201.02 ! [V_b,V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 201.01/201.02 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__less,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__greater,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( 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)))
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_abs__sgn,axiom,
% 201.01/201.02 ! [V_k,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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)) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_mult__sgn__abs,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => 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 ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Suc__code__numeral__minus__one,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__1__pos,axiom,
% 201.01/201.02 ! [V_a_2,T_b] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.02 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 201.01/201.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__pos,axiom,
% 201.01/201.02 ! [V_a,T_a] :
% 201.01/201.02 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat__gcd_Osimps,axiom,
% 201.01/201.02 ! [V_x,V_y] :
% 201.01/201.02 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 201.01/201.02 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.02 => 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)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_zsgn__def,axiom,
% 201.01/201.02 ! [V_i] :
% 201.01/201.02 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.02 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 201.01/201.02 => 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)) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sgn__if,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Groups_Osgn__if(T_a)
% 201.01/201.02 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 201.01/201.02 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 201.01/201.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 201.01/201.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 201.01/201.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_compl__unique,axiom,
% 201.01/201.02 ! [V_y,V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 201.01/201.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 201.01/201.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_int__val__lemma,axiom,
% 201.01/201.02 ! [V_k_2,V_f_2,V_n_2] :
% 201.01/201.02 ( ! [B_i] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.02 => 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))) )
% 201.01/201.02 => ( 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))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.01/201.02 => ? [B_i] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.02 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_nat0__intermed__int__val,axiom,
% 201.01/201.02 ! [V_k_2,V_f_2,V_n_2] :
% 201.01/201.02 ( ! [B_i] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.02 => 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))) )
% 201.01/201.02 => ( 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))
% 201.01/201.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.01/201.02 => ? [B_i] :
% 201.01/201.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.02 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_UNIV__I,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Pow__UNIV,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__fun__UNIVD2,axiom,
% 201.01/201.02 ! [T_c,T_b] :
% 201.01/201.02 ( 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))))
% 201.01/201.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_UNIV__not__empty,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__UNIV,axiom,
% 201.01/201.02 ! [T_b] :
% 201.01/201.02 ( class_Finite__Set_Ofinite(T_b)
% 201.01/201.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Union__UNIV,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_top__apply,axiom,
% 201.01/201.02 ! [V_x_2,T_c,T_b] :
% 201.01/201.02 ( class_Orderings_Otop(T_b)
% 201.01/201.02 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Sup__UNIV,axiom,
% 201.01/201.02 ! [T_b] :
% 201.01/201.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__Prod__UNIV,axiom,
% 201.01/201.02 ! [T_c,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 201.01/201.02 => 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)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__option__UNIV,axiom,
% 201.01/201.02 ! [T_b] :
% 201.01/201.02 ( 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))))
% 201.01/201.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_UNIV__Plus__UNIV,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Int__UNIV__left,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Int__UNIV__right,axiom,
% 201.01/201.02 ! [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 ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Un__UNIV__left,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Un__UNIV__right,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_subset__UNIV,axiom,
% 201.01/201.02 ! [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)))) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_card__UNIV__unit,axiom,
% 201.01/201.02 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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__Plus__UNIV__iff,axiom,
% 201.01/201.02 ! [T_c,T_b] :
% 201.01/201.02 ( 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))))
% 201.01/201.02 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_top__greatest,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Orderings_Otop(T_a)
% 201.01/201.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sup__top__left,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_sup__top__right,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.01/201.02 => 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) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_inf__eq__top__iff,axiom,
% 201.01/201.02 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.02 ( class_Lattices_Obounded__lattice__top(T_b)
% 201.01/201.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 201.01/201.02 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 201.01/201.02 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_inf__top__right,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_inf__top__left,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Obounded__lattice__top(T_a)
% 201.01/201.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Diff__UNIV,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 201.01/201.02 ! [V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.02 => ( 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)))
% 201.01/201.02 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__UNIV__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__empty__eq,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_finite__compl,axiom,
% 201.01/201.02 ! [V_A_2,T_b] :
% 201.01/201.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 201.01/201.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__partition,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__partition2,axiom,
% 201.01/201.02 ! [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)) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 201.01/201.02 ! [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) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_compl__top__eq,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_compl__bot__eq,axiom,
% 201.01/201.02 ! [T_a] :
% 201.01/201.02 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 201.01/201.02
% 201.01/201.02 fof(fact_compl__sup__top,axiom,
% 201.01/201.02 ! [V_x,T_a] :
% 201.01/201.02 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__compl__top,axiom,
% 201.01/201.03 ! [V_x,T_a] :
% 201.01/201.03 ( class_Lattices_Oboolean__algebra(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__UNIV__card__ge__0,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.03 => 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__UNIV__bool,axiom,
% 201.01/201.03 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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__fun__UNIVD1,axiom,
% 201.01/201.03 ! [T_c,T_b] :
% 201.01/201.03 ( 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))))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__fold__inf,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 201.01/201.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__mod__eq__lemma,axiom,
% 201.01/201.03 ! [V_y,V_n,V_x] :
% 201.01/201.03 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 201.01/201.03 => ? [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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__induct__0,axiom,
% 201.01/201.03 ! [V_i_2,V_P_2,V_p_2] :
% 201.01/201.03 ( ! [B_i] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 201.01/201.03 => ( hBOOL(hAPP(V_P_2,B_i))
% 201.01/201.03 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 201.01/201.03 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 201.01/201.03 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__Inter,axiom,
% 201.01/201.03 ! [V_M_2,T_b] :
% 201.01/201.03 ( ? [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 201.01/201.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 201.01/201.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_top1I,axiom,
% 201.01/201.03 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_InterE,axiom,
% 201.01/201.03 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_InterD,axiom,
% 201.01/201.03 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__UNIV,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 201.01/201.03 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__empty,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 201.01/201.03 ! [V_y,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 201.01/201.03 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 201.01/201.03 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 201.01/201.03 ! [V_y,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__Inf__iff,axiom,
% 201.01/201.03 ! [V_A_2,V_b_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__less__iff,axiom,
% 201.01/201.03 ! [V_a_2,V_S_2,T_b] :
% 201.01/201.03 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 & class_Orderings_Olinorder(T_b) )
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 201.01/201.03 <=> ? [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 201.01/201.03 ! [V_y,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 201.01/201.03 ! [V_y,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__UNIV,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 201.01/201.03 ! [V_n,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 201.01/201.03 ! [V_y,V_x] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 201.01/201.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__lower,axiom,
% 201.01/201.03 ! [V_A_2,V_B_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__anti__mono,axiom,
% 201.01/201.03 ! [V_A_2,V_B_2,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__insert,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_is__nat__def,axiom,
% 201.01/201.03 ! [V_x_2] :
% 201.01/201.03 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__lower,axiom,
% 201.01/201.03 ! [V_A_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__Un__distrib,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__singleton,axiom,
% 201.01/201.03 ! [V_a_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__empty,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__insert,axiom,
% 201.01/201.03 ! [V_A_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Int__eq__Inter,axiom,
% 201.01/201.03 ! [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))))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 201.01/201.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__Un__subset,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__binary,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf__Inf__fold__inf,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inf__fin__Inf,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_iso__tuple__UNIV__I,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__intermed__int__val,axiom,
% 201.01/201.03 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 201.01/201.03 ( ! [B_i] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 201.01/201.03 => 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))) )
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 201.01/201.03 => ? [B_i] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.03 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_log_Osimps,axiom,
% 201.01/201.03 ! [V_i,V_b] :
% 201.01/201.03 ( ( ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 201.01/201.03 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 201.01/201.03 & ( ~ ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__div__decomp,axiom,
% 201.01/201.03 ! [V_b,V_a,T_a] :
% 201.01/201.03 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_minus__code__numeral__code,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_subtract__code__numeral__def,axiom,
% 201.01/201.03 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_minus__shift__def,axiom,
% 201.01/201.03 ! [V_r,V_l,V_k] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inc__shift__def,axiom,
% 201.01/201.03 ! [V_k,V_v] :
% 201.01/201.03 ( ( V_v = V_k
% 201.01/201.03 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 201.01/201.03 & ( V_v != V_k
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__subset,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( ! [B_X] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_InterI,axiom,
% 201.01/201.03 ! [V_A_2,V_C_2,T_b] :
% 201.01/201.03 ( ! [B_X] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( 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))))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ 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))))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat_Osize_I2_J,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_diff__nat__number__of,axiom,
% 201.01/201.03 ! [V_v_2,V_v_H_2] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__abs,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__abs__ge__zero,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__int__setprod,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.03 & class_Rings_Oring__1(T_b) )
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__int__setsum,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Rings_Oring__1(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fun__Compl__def,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ouminus(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__negf,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fold__image__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__fun__def,axiom,
% 201.01/201.03 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Lattices_Olattice(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf__fun__def,axiom,
% 201.01/201.03 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Lattices_Olattice(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__timesf,axiom,
% 201.01/201.03 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__1,axiom,
% 201.01/201.03 ! [V_A_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__divide__distrib,axiom,
% 201.01/201.03 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Fields_Ofield(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bot__empty__eq,axiom,
% 201.01/201.03 ! [V_x_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bot__fun__def,axiom,
% 201.01/201.03 ! [V_x_2,T_c,T_b] :
% 201.01/201.03 ( class_Orderings_Obot(T_b)
% 201.01/201.03 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__Un__eq,axiom,
% 201.01/201.03 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf__Int__eq,axiom,
% 201.01/201.03 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bot__empty__eq2,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__commute,axiom,
% 201.01/201.03 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 201.01/201.03 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.03 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 201.01/201.03 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.03 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pred__equals__eq,axiom,
% 201.01/201.03 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> V_R_2 = V_S_2 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pred__equals__eq2,axiom,
% 201.01/201.03 ! [V_S_2,V_R_2,T_c,T_b] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> V_R_2 = V_S_2 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__Un__eq2,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf__Int__eq2,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__right__distrib,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__0(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__left__distrib,axiom,
% 201.01/201.03 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__0(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__product,axiom,
% 201.01/201.03 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__0(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_int__setsum,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_abs__setprod,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Fields_Olinordered__field(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_abs__setsum__abs,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__0,axiom,
% 201.01/201.03 ! [V_A_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fun__diff__def,axiom,
% 201.01/201.03 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ominus(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__subtractf,axiom,
% 201.01/201.03 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_int__setprod,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__addf,axiom,
% 201.01/201.03 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pred__subset__eq2,axiom,
% 201.01/201.03 ! [V_S_2,V_R_2,T_c,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pred__subset__eq,axiom,
% 201.01/201.03 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum_Odistrib,axiom,
% 201.01/201.03 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod_Odistrib,axiom,
% 201.01/201.03 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__eq__Suc__le__raw,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__number__of__Bit0,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__dividef,axiom,
% 201.01/201.03 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Fields_Ofield__inverse__zero(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat_Osize_I1_J,axiom,
% 201.01/201.03 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__nat__setsum,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__eq__setsum,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__nat__setprod,axiom,
% 201.01/201.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.03 & class_Rings_Osemiring__1(T_b) )
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__delta_H,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__delta,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__delta,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__delta_H,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__constant,axiom,
% 201.01/201.03 ! [V_A_2,V_y_2,T_c,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_power__number__of__even,axiom,
% 201.01/201.03 ! [V_w_2,V_z_2,T_b] :
% 201.01/201.03 ( class_Int_Onumber__ring(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fold__image__distrib,axiom,
% 201.01/201.03 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__constant,axiom,
% 201.01/201.03 ! [V_y_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zpower__number__of__even,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Powp__Pow__eq,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__restrict__set,axiom,
% 201.01/201.03 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_power__number__of__even__number__of,axiom,
% 201.01/201.03 ! [V_w_2,V_v_2,T_b] :
% 201.01/201.03 ( class_Int_Onumber__ring(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card_Oeq__fold__g,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__def,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fun__left__comm__idem__remove,axiom,
% 201.01/201.03 ! [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))))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_diff__nat__eq__if,axiom,
% 201.01/201.03 ! [V_z_2,V_z_H_2] :
% 201.01/201.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__div__mod,axiom,
% 201.01/201.03 ! [V_l,V_k] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__minus1,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_adjust__eq,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_minus__fold__remove,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_eq__number__of__Suc,axiom,
% 201.01/201.03 ! [V_n_2,V_v_2] :
% 201.01/201.03 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 201.01/201.03 <=> 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Suc__eq__number__of,axiom,
% 201.01/201.03 ! [V_v_2,V_n_2] :
% 201.01/201.03 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 201.01/201.03 <=> 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__number__of__Bit1,axiom,
% 201.01/201.03 ! [V_w_2] :
% 201.01/201.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 201.01/201.03 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__Suc__number__of,axiom,
% 201.01/201.03 ! [V_v_2,V_n_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__number__of__Suc,axiom,
% 201.01/201.03 ! [V_n_2,V_v_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__Suc__number__of,axiom,
% 201.01/201.03 ! [V_v_2,V_n_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__number__of__Suc,axiom,
% 201.01/201.03 ! [V_n_2,V_v_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_power__number__of__odd,axiom,
% 201.01/201.03 ! [V_z_2,V_w_2,T_b] :
% 201.01/201.03 ( class_Int_Onumber__ring(T_b)
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setprod__gen__delta,axiom,
% 201.01/201.03 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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)))) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zpower__number__of__odd,axiom,
% 201.01/201.03 ! [V_z_2,V_w_2] :
% 201.01/201.03 ( ( 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)))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg_Osimps,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( ( ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__number__of__Suc,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__Suc__number__of,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_power__number__of__odd__number__of,axiom,
% 201.01/201.03 ! [V_v_2,V_w_2,T_b] :
% 201.01/201.03 ( class_Int_Onumber__ring(T_b)
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__eqn,axiom,
% 201.01/201.03 ! [V_a,V_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__eqn__number__of,axiom,
% 201.01/201.03 ! [V_w,V_v] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( 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))))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ 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))))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_norm__frac_Osimps,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.03 => 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))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__case__add__eq__if,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg_Osimps,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup2E,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup2CI,axiom,
% 201.01/201.03 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 201.01/201.03 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf2I,axiom,
% 201.01/201.03 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf2E,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.01/201.03 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bot2E,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_rev__predicate2D,axiom,
% 201.01/201.03 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_predicate2D,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__by__empty,axiom,
% 201.01/201.03 ! [V_B_2,T_b,V_A_2] :
% 201.01/201.03 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf2D1,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf2D2,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup2I1,axiom,
% 201.01/201.03 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup2I2,axiom,
% 201.01/201.03 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__case__0,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__case__Suc,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__0,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 201.01/201.03 ! [V_n_2,V_m_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 201.01/201.03 <=> 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_diff__Suc,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__Suc1,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__Suc2,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__div__mod,axiom,
% 201.01/201.03 ! [V_l,V_k] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__case__number__of,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__eqn,axiom,
% 201.01/201.03 ! [V_a,V_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__eqn__number__of,axiom,
% 201.01/201.03 ! [V_w,V_v] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_in__rel__def,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 201.01/201.03 <=> 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__mod__code__numeral__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nitpick_Orefl_H__def,axiom,
% 201.01/201.03 ! [V_r_2,T_b] :
% 201.01/201.03 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 201.01/201.03 <=> ! [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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_adjust__def,axiom,
% 201.01/201.03 ! [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))))))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__int__num,axiom,
% 201.01/201.03 ! [V_k_2,T_b] :
% 201.01/201.03 ( class_Rings_Oring__1(T_b)
% 201.01/201.03 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 201.01/201.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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))) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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))))) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__step,axiom,
% 201.01/201.03 ! [V_m,V_n] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__rec__add__eq__if,axiom,
% 201.01/201.03 ! [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))))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 201.01/201.03 ! [V_n_2,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__rec__0,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__rec__Suc,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__zero,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 201.01/201.03 ! [V_i_2,V_inc_2,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 201.01/201.03 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 201.01/201.03 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__base,axiom,
% 201.01/201.03 ! [V_n,V_m] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__div__mod,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__mod__div,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__rec__number__of,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Nitpick_OFrac__def,axiom,
% 201.01/201.03 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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__def,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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))) ) ) ) ) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => 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))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__pdivmod,axiom,
% 201.01/201.03 ! [V_l_2,V_k_2] :
% 201.01/201.03 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 201.01/201.03 ! [V_c,V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negateSnd__def,axiom,
% 201.01/201.03 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__unique,axiom,
% 201.01/201.03 ! [V_qr_H,V_qr,V_n,V_m] :
% 201.01/201.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 201.01/201.03 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 201.01/201.03 => V_qr = V_qr_H ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__eq,axiom,
% 201.01/201.03 ! [V_qr,V_n,V_m] :
% 201.01/201.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 201.01/201.03 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 201.01/201.03 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__eq,axiom,
% 201.01/201.03 ! [V_r,V_q,V_n,V_m] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__eq,axiom,
% 201.01/201.03 ! [V_r,V_q,V_n,V_m] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negateSnd__eq,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 201.01/201.03 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pdivmod__def,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pdivmod__posDivAlg,axiom,
% 201.01/201.03 ! [V_k,V_l] :
% 201.01/201.03 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__code,axiom,
% 201.01/201.03 ! [V_l_2,V_k_2] :
% 201.01/201.03 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 201.01/201.03 ! [V_a,V_r,V_q,V_c,V_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_splitI,axiom,
% 201.01/201.03 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod__caseI,axiom,
% 201.01/201.03 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg_Opsimps,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_dual__max,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_accp_Osimps,axiom,
% 201.01/201.03 ! [V_a_2,V_r_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 201.01/201.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_accp_Oequations,axiom,
% 201.01/201.03 ! [V_a_2,V_r_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 201.01/201.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_accp__downward,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.01/201.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_accp__subset,axiom,
% 201.01/201.03 ! [V_R2_2,V_R1_2,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Pair__inject,axiom,
% 201.01/201.03 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 201.01/201.03 ( 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)
% 201.01/201.03 => ~ ( V_a = V_a_H
% 201.01/201.03 => V_b != V_b_H ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Pair__eq,axiom,
% 201.01/201.03 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> ( V_a_2 = V_a_H_2
% 201.01/201.03 & V_b_2 = V_b_H_2 ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__paired__All,axiom,
% 201.01/201.03 ! [T_c,T_b,V_P_2] :
% 201.01/201.03 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.03 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__weak__cong,axiom,
% 201.01/201.03 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 201.01/201.03 ( V_p_2 = V_q_2
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod_Osimps_I2_J,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__conv,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_splitD,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apsnd__conv,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__eta,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__twice,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg_Opsimps,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_norm__frac_Opsimps,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 201.01/201.03 => 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))) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg_Opinduct,axiom,
% 201.01/201.03 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ! [B_a,B_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( ~ ( 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)))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zmult2__lemma,axiom,
% 201.01/201.03 ! [V_c,V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mem__splitI,axiom,
% 201.01/201.03 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_splitD_H,axiom,
% 201.01/201.03 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__0,axiom,
% 201.01/201.03 ! [V_b] :
% 201.01/201.03 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_self__remainder,axiom,
% 201.01/201.03 ! [V_r,V_q,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_unique__quotient,axiom,
% 201.01/201.03 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => V_q = V_q_H ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_unique__remainder,axiom,
% 201.01/201.03 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => V_r = V_r_H ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__neg,axiom,
% 201.01/201.03 ! [V_qr,V_b,V_a] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__correct,axiom,
% 201.01/201.03 ! [V_a,V_b] :
% 201.01/201.03 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_self__quotient,axiom,
% 201.01/201.03 ! [V_r,V_q,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__mod,axiom,
% 201.01/201.03 ! [V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__div,axiom,
% 201.01/201.03 ! [V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_negDivAlg__correct,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__div__mod,axiom,
% 201.01/201.03 ! [V_a,V_b] :
% 201.01/201.03 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg__correct,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zadd1__lemma,axiom,
% 201.01/201.03 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zminus1__lemma,axiom,
% 201.01/201.03 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__if,axiom,
% 201.01/201.03 ! [V_m_2,V_n_2] :
% 201.01/201.03 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__relI,axiom,
% 201.01/201.03 ! [V_r,V_q,V_b,V_a] :
% 201.01/201.03 ( 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)
% 201.01/201.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_zmult1__lemma,axiom,
% 201.01/201.03 ! [V_a,V_r,V_q,V_c,V_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__int__rel__def,axiom,
% 201.01/201.03 ! [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))))))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_posDivAlg_Opinduct,axiom,
% 201.01/201.03 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ! [B_a,B_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 201.01/201.03 => 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))) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__gcd_Opsimps,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 201.01/201.03 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 201.01/201.03 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.03 ( ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__pos__neg__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_snd__conv,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_snd__eqD,axiom,
% 201.01/201.03 ! [V_a,V_y,V_x,T_a,T_b] :
% 201.01/201.03 ( 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
% 201.01/201.03 => V_y = V_a ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_snd__apsnd,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apsnd__eq__conv,axiom,
% 201.01/201.03 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_snd__def,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__int__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__neg__pos,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__pos__pos,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__pos__pos__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__pos__neg,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__neg__neg,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_in__measure,axiom,
% 201.01/201.03 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 201.01/201.03 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.03 ( ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.03 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_norm__frac_Opinduct,axiom,
% 201.01/201.03 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ! [B_a,B_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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))) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__pos__neg__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Pair__fst__snd__eq,axiom,
% 201.01/201.03 ! [T_c,T_b,V_ta_2,V_s_2] :
% 201.01/201.03 ( V_s_2 = V_ta_2
% 201.01/201.03 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_ta_2)
% 201.01/201.03 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_ta_2) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod__eqI,axiom,
% 201.01/201.03 ! [V_q,V_p,T_b,T_a] :
% 201.01/201.03 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 201.01/201.03 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 201.01/201.03 => V_p = V_q ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fst__eqD,axiom,
% 201.01/201.03 ! [V_a,V_y,V_x,T_b,T_a] :
% 201.01/201.03 ( 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
% 201.01/201.03 => V_x = V_a ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fst__conv,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fst__apsnd,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fst__def,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pair__collapse,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_surjective__pairing,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod__case__beta,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__int__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mod__nat__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__comp__eq,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__beta,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_split__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__neg__pos,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__pos__pos,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__pos__pos__1__number__of,axiom,
% 201.01/201.03 ! [V_w] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__pos__neg,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__neg__neg,axiom,
% 201.01/201.03 ! [V_b,V_a] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod__size__simp,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_conjI__realizer,axiom,
% 201.01/201.03 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 201.01/201.03 ( hBOOL(hAPP(V_P_2,V_p_2))
% 201.01/201.03 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 201.01/201.03 => ( 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))))
% 201.01/201.03 & 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)))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_exI__realizer,axiom,
% 201.01/201.03 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__gcd_Opinduct,axiom,
% 201.01/201.03 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ! [B_x,B_y] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_div__nat__def,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_divmod__nat__rel__def,axiom,
% 201.01/201.03 ! [V_qr_2,V_n_2,V_m_2] :
% 201.01/201.03 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 201.01/201.03 <=> ( 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))
% 201.01/201.03 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.03 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 & 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)) ) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 & 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))) ) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_range,axiom,
% 201.01/201.03 ! [V_s,V_k] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_arith__series__int,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mlex__leq,axiom,
% 201.01/201.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_mlex__less,axiom,
% 201.01/201.03 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__lessThan,axiom,
% 201.01/201.03 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__0,axiom,
% 201.01/201.03 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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__lessThan,axiom,
% 201.01/201.03 ! [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 ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__eq__iff,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 201.01/201.03 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__Suc,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__iff,axiom,
% 201.01/201.03 ! [V_k_2,V_i_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oord(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__subset__iff,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__lessThan__Suc,axiom,
% 201.01/201.03 ! [V_n_2,V_f_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_lessThan__strict__subset__iff,axiom,
% 201.01/201.03 ! [V_n_2,V_m_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_single__Diff__lessThan,axiom,
% 201.01/201.03 ! [V_k_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__nat__set__iff__bounded,axiom,
% 201.01/201.03 ! [V_N_2] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 201.01/201.03 <=> ? [B_m] :
% 201.01/201.03 ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 201.01/201.03 ! [V_N_2] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 201.01/201.03 <=> ? [B_m] :
% 201.01/201.03 ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_arith__series__general,axiom,
% 201.01/201.03 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Rings_Ocomm__semiring__1(T_b)
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_arith__series__nat,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat_Osize_I4_J,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_prod_Orecs,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OatMost__iff,axiom,
% 201.01/201.03 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OatLeast__iff,axiom,
% 201.01/201.03 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__size,axiom,
% 201.01/201.03 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 201.01/201.03
% 201.01/201.03 fof(fact_infinite__UNIV__nat,axiom,
% 201.01/201.03 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat_Osize_I3_J,axiom,
% 201.01/201.03 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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 201.01/201.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 201.01/201.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 201.01/201.03 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 201.01/201.03 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OlessThan__iff,axiom,
% 201.01/201.03 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ord_OgreaterThan__iff,axiom,
% 201.01/201.03 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 201.01/201.03 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_in__lex__prod,axiom,
% 201.01/201.03 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( 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))
% 201.01/201.03 | ( V_a_2 = V_a_H_2
% 201.01/201.03 & 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_in__finite__psubset,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_same__fstI,axiom,
% 201.01/201.03 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 201.01/201.03 ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__nonneg__leq__bound,axiom,
% 201.01/201.03 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.01/201.03 => ( ! [B_i] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 201.01/201.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__nonneg__0,axiom,
% 201.01/201.03 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.01/201.03 => ( ! [B_i] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 201.01/201.03 => ( 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)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 201.01/201.03 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__Suc__number__of,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__max__iff__disj,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__supE,axiom,
% 201.01/201.03 ! [V_x,V_b,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( 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))
% 201.01/201.03 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.01/201.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__mono,axiom,
% 201.01/201.03 ! [V_d,V_b,V_c,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__least,axiom,
% 201.01/201.03 ! [V_z,V_x,V_y,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__supI,axiom,
% 201.01/201.03 ! [V_b,V_x,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__absorb1,axiom,
% 201.01/201.03 ! [V_x,V_y,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 201.01/201.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__absorb2,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__supI2,axiom,
% 201.01/201.03 ! [V_a,V_b,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__supI1,axiom,
% 201.01/201.03 ! [V_b,V_a,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__sup__iff,axiom,
% 201.01/201.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ole__iff__sup,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/201.03 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__maxI2,axiom,
% 201.01/201.03 ! [V_x,V_y,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__maxI1,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__max,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( ( class_Lattices_Osemilattice__sup(T_b)
% 201.01/201.03 & class_Orderings_Olinorder(T_b) )
% 201.01/201.03 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sup__nat__def,axiom,
% 201.01/201.03 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oidem,axiom,
% 201.01/201.03 ! [V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__assoc,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup_Oassoc,axiom,
% 201.01/201.03 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__left__commute,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 201.01/201.03 ! [V_c,V_a,V_b,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__left__idem,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 201.01/201.03 ! [V_b,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__commute,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup_Ocommute,axiom,
% 201.01/201.03 ! [V_b,V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup_Oidem,axiom,
% 201.01/201.03 ! [V_a,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__inf__absorb,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 201.01/201.03 ! [V_x,V_z,V_y,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 201.01/201.03 ! [V_x,V_z,V_y,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__Suc__Suc,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__0R,axiom,
% 201.01/201.03 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__0L,axiom,
% 201.01/201.03 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__diff__distrib__left,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Groups_Oordered__ab__group__add(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__add__distrib__left,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__less__iff__conj,axiom,
% 201.01/201.03 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_less__max__iff__disj,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oless__supI2,axiom,
% 201.01/201.03 ! [V_a,V_b,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oless__supI1,axiom,
% 201.01/201.03 ! [V_b,V_a,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__number__of,axiom,
% 201.01/201.03 ! [V_v,V_u,T_b] :
% 201.01/201.03 ( ( class_Int_Onumber(T_b)
% 201.01/201.03 & class_Orderings_Oord(T_b) )
% 201.01/201.03 => ( ( 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)))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ 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)))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Odistrib__sup__le,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Odistrib__inf__le,axiom,
% 201.01/201.03 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_a)
% 201.01/201.03 => 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)))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_minus__min__eq__max,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Groups_Olinordered__ab__group__add(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_minus__max__eq__min,axiom,
% 201.01/201.03 ! [V_y,V_x,T_a] :
% 201.01/201.03 ( class_Groups_Olinordered__ab__group__add(T_a)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_nat__minus__add__max,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__Suc1,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__Suc2,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__ord__max,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Orderings_Oord(T_b)
% 201.01/201.03 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Ofold__sup__insert,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_dual__min,axiom,
% 201.01/201.03 ! [T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 201.01/201.03 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => 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 ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__number__of__Suc,axiom,
% 201.01/201.03 ! [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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oremove,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => ( ( hAPP(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))
% 201.01/201.03 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 201.01/201.03 & ( hAPP(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))
% 201.01/201.03 => 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)))))) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OInf__le__Sup,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => ( ( hAPP(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))
% 201.01/201.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 201.01/201.03 & ( hAPP(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))
% 201.01/201.03 => 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)))))) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_sum__diff__distrib,axiom,
% 201.01/201.03 ! [V_n_2,V_P_2,V_Q_2] :
% 201.01/201.03 ( ! [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)))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Osingleton,axiom,
% 201.01/201.03 ! [V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max__ge,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 201.01/201.03 ! [V_x_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => 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 ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max__in,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oin__idem,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_OF__eq,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 201.01/201.03 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => 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 ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max__mono,axiom,
% 201.01/201.03 ! [V_N_2,V_M_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 201.01/201.03 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.03 => 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))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 201.01/201.03 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max__insert,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Osubset__idem,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max__Un,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 201.01/201.03 ! [V_a_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ( hAPP(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))
% 201.01/201.03 => 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 )
% 201.01/201.03 & ( hAPP(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))
% 201.01/201.03 => 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)))))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oinsert,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oinsert__remove,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ( hAPP(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))
% 201.01/201.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 201.01/201.03 & ( hAPP(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))
% 201.01/201.03 => 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)))))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Ounion__inter,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Ounion__disjoint,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oeq__fold_H,axiom,
% 201.01/201.03 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( ! [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))))))
% 201.01/201.03 => 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)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Max_Oclosed,axiom,
% 201.01/201.03 ! [V_A_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => ( ! [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))))))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apfst__apsnd,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apsnd__apfst,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apfst__conv,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apfst__eq__conv,axiom,
% 201.01/201.03 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_fst__apfst,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_snd__apfst,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_apsnd__apfst__commute,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pair__lessI2,axiom,
% 201.01/201.03 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_ta_2))
% 201.01/201.03 => 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_ta_2))),c_FunDef_Opair__less)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__natinterval__difff,axiom,
% 201.01/201.03 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.01/201.03 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.03 => 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)))) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.03 => 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) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_gauss__sum,axiom,
% 201.01/201.03 ! [V_n_2,T_b] :
% 201.01/201.03 ( class_Rings_Ocomm__semiring__1(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INFI__fold__inf,axiom,
% 201.01/201.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__D,axiom,
% 201.01/201.03 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__E,axiom,
% 201.01/201.03 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.01/201.03 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF1__D,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF1__E,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 201.01/201.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF2__D,axiom,
% 201.01/201.03 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF2__E,axiom,
% 201.01/201.03 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 201.01/201.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__INT,axiom,
% 201.01/201.03 ! [V_A_2,T_c,V_I_2,T_b] :
% 201.01/201.03 ( ? [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.01/201.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__atLeastAtMost,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Inter__def,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.03 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.03 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__subset__iff,axiom,
% 201.01/201.03 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__Int__distrib,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__commute,axiom,
% 201.01/201.03 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INFI__apply,axiom,
% 201.01/201.03 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I8_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I8_J,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Pow__INT__eq,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I5_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I5_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__iff,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I7_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I6_J,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I7_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Un__INT__distrib,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I6_J,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Un__INT__distrib2,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__INT__eq2,axiom,
% 201.01/201.03 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_le__INF__iff,axiom,
% 201.01/201.03 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__less__iff,axiom,
% 201.01/201.03 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.03 & class_Orderings_Olinorder(T_b) )
% 201.01/201.03 => ( 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))
% 201.01/201.03 <=> ? [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__insert__distrib,axiom,
% 201.01/201.03 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__lower,axiom,
% 201.01/201.03 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__INT__eq,axiom,
% 201.01/201.03 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__absorb,axiom,
% 201.01/201.03 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 201.01/201.03 => 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) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__const,axiom,
% 201.01/201.03 ! [V_M_2,T_b,V_A_2,T_c] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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 ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__empty,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__constant,axiom,
% 201.01/201.03 ! [V_c_2,T_c,T_b,V_A_2] :
% 201.01/201.03 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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 ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I1_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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 )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I2_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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 )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__insert,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__Un,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Un__Inter,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastatMost__empty__iff2,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( 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)
% 201.01/201.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastatMost__empty__iff,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( 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))
% 201.01/201.03 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastatMost__empty,axiom,
% 201.01/201.03 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastatMost__subset__iff,axiom,
% 201.01/201.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.01/201.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastAtMost__singleton,axiom,
% 201.01/201.03 ! [V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 201.01/201.03 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ( V_a_2 = V_b_2
% 201.01/201.03 & V_b_2 = V_c_2 ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastAtMost__singleton_H,axiom,
% 201.01/201.03 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( V_a_2 = V_b_2
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 201.01/201.03 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 201.01/201.03 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__subset,axiom,
% 201.01/201.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I1_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I2_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__extend__simps_I3_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INT__simps_I3_J,axiom,
% 201.01/201.03 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.03 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__atLeastAtMost,axiom,
% 201.01/201.03 ! [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) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastAtMostSuc__conv,axiom,
% 201.01/201.03 ! [V_n_2,V_m_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF__leI,axiom,
% 201.01/201.03 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 201.01/201.03 ! [V_k_2,V_f_2] :
% 201.01/201.03 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_Int__atLeastAtMost,axiom,
% 201.01/201.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Olinorder(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_atLeastatMost__psubset__iff,axiom,
% 201.01/201.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => ( 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)))
% 201.01/201.03 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 201.01/201.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 201.01/201.03 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 201.01/201.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 201.01/201.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ivl__disj__int_I4_J,axiom,
% 201.01/201.03 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.03 ( class_Orderings_Oorder(T_b)
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__head__Suc,axiom,
% 201.01/201.03 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pair__lessI1,axiom,
% 201.01/201.03 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.03 => 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_ta_2))),c_FunDef_Opair__less)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__cl__ivl__Suc,axiom,
% 201.01/201.03 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 201.01/201.03 => 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) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 201.01/201.03 => 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))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_inf__INFI__fold__inf,axiom,
% 201.01/201.03 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.03 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.03 => 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) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_setsum__ub__add__nat,axiom,
% 201.01/201.03 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 201.01/201.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.03 => ( 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))))
% 201.01/201.03 => 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)))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_all__nat__less,axiom,
% 201.01/201.03 ! [V_P_2,V_n_2] :
% 201.01/201.03 ( ! [B_m] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 201.01/201.03 => hBOOL(hAPP(V_P_2,B_m)) )
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_ex__nat__less,axiom,
% 201.01/201.03 ! [V_P_2,V_n_2] :
% 201.01/201.03 ( ? [B_m] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 201.01/201.03 & hBOOL(hAPP(V_P_2,B_m)) )
% 201.01/201.03 <=> ? [B_x] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pair__leqI2,axiom,
% 201.01/201.03 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_ta_2))
% 201.01/201.03 => 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_ta_2))),c_FunDef_Opair__leq)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_smax__insertI,axiom,
% 201.01/201.03 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF1__iff,axiom,
% 201.01/201.03 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_INF2__iff,axiom,
% 201.01/201.03 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.03 ( 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))
% 201.01/201.03 <=> ! [B_x] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.03 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_smax__emptyI,axiom,
% 201.01/201.03 ! [V_Y_2] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 201.01/201.03 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_simp__from__to,axiom,
% 201.01/201.03 ! [V_i_2,V_j_2] :
% 201.01/201.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 201.01/201.03 => 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)) )
% 201.01/201.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 201.01/201.03 => 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)) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_card__atLeastAtMost__int,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_pair__leqI1,axiom,
% 201.01/201.03 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.03 => 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_ta_2))),c_FunDef_Opair__leq)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_wmin__insertI,axiom,
% 201.01/201.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_wmax__insertI,axiom,
% 201.01/201.03 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_smin__insertI,axiom,
% 201.01/201.03 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => ( 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))
% 201.01/201.03 => 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)) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_aset_I8_J,axiom,
% 201.01/201.03 ! [V_ta_2,V_A_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ! [B_xb] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.01/201.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_finite__atLeastAtMost__int,axiom,
% 201.01/201.03 ! [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))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_wmax__emptyI,axiom,
% 201.01/201.03 ! [V_X_2] :
% 201.01/201.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_wmin__emptyI,axiom,
% 201.01/201.03 ! [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)) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_smin__emptyI,axiom,
% 201.01/201.03 ! [V_X_2] :
% 201.01/201.03 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 201.01/201.03 => 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)) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__weak__def,axiom,
% 201.01/201.03 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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__weak__def,axiom,
% 201.01/201.03 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)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_aset_I6_J,axiom,
% 201.01/201.03 ! [V_A_2,V_ta_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ! [B_xb] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.01/201.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 201.01/201.03 => 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_ta_2)) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bset_I8_J,axiom,
% 201.01/201.03 ! [V_B_2,V_ta_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ! [B_xb] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.01/201.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 201.01/201.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_infinite__UNIV__int,axiom,
% 201.01/201.03 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__strict__def,axiom,
% 201.01/201.03 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__ext__additive,axiom,
% 201.01/201.03 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ( 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)))
% 201.01/201.03 => 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))) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_min__strict__def,axiom,
% 201.01/201.03 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_max__extp__max__ext__eq,axiom,
% 201.01/201.03 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 201.01/201.03 ( 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)
% 201.01/201.03 <=> 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))) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_aset_I4_J,axiom,
% 201.01/201.03 ! [V_A_2,V_ta_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ! [B_xb] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.01/201.03 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.03 => ( B_x != V_ta_2
% 201.01/201.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bset_I4_J,axiom,
% 201.01/201.03 ! [V_B_2,V_ta_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.03 => ! [B_xb] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.01/201.03 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.03 => ( B_x != V_ta_2
% 201.01/201.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 201.01/201.03
% 201.01/201.03 fof(fact_bset_I7_J,axiom,
% 201.01/201.03 ! [V_B_2,V_ta_2,V_D_2] :
% 201.01/201.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 201.01/201.03 => ! [B_x] :
% 201.01/201.03 ( ! [B_xa] :
% 201.01/201.03 ( 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)))
% 201.01/201.04 => ! [B_xb] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.01/201.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_bset_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_ta_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 201.01/201.04 => V_ta_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 201.01/201.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_aset_I3_J,axiom,
% 201.01/201.04 ! [V_A_2,V_ta_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 201.01/201.04 => V_ta_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 201.01/201.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_aset_I5_J,axiom,
% 201.01/201.04 ! [V_A_2,V_ta_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 201.01/201.04 => ! [B_x] :
% 201.01/201.04 ( ! [B_xa] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xb] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.01/201.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 201.01/201.04 => 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_ta_2)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_bset_I6_J,axiom,
% 201.01/201.04 ! [V_ta_2,V_B_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ! [B_x] :
% 201.01/201.04 ( ! [B_xa] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xb] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.01/201.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 201.01/201.04 => 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_ta_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_periodic__finite__ex,axiom,
% 201.01/201.04 ! [V_P_2,V_d_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 201.01/201.04 => ( ! [B_x,B_k] :
% 201.01/201.04 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.04 <=> 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)))) )
% 201.01/201.04 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_bset_I5_J,axiom,
% 201.01/201.04 ! [V_ta_2,V_B_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ! [B_x] :
% 201.01/201.04 ( ! [B_xa] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xb] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 201.01/201.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 201.01/201.04 => 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_ta_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_aset_I7_J,axiom,
% 201.01/201.04 ! [V_ta_2,V_A_2,V_D_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 201.01/201.04 => ! [B_x] :
% 201.01/201.04 ( ! [B_xa] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ! [B_xb] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 201.01/201.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__greaterThanLessThan__int,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__greaterThanLessThan__int,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThanLessThan__empty,axiom,
% 201.01/201.04 ! [V_k_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I12_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I13_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__greaterThanLessThan,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_min__rpair__set,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_max__rpair__set,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I19_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_less__than__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__greaterThanAtMost,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__greaterThanLessThan,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__greaterThanAtMost__int,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThanAtMost__empty,axiom,
% 201.01/201.04 ! [V_k_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 201.01/201.04 ! [V_l_2,V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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))
% 201.01/201.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 201.01/201.04 ! [V_l_2,V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I20_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I14_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_pair__less__def,axiom,
% 201.01/201.04 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__greaterThanAtMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I22_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I16_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__greaterThanAtMost,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I10_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__greaterThanLessThan,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__greaterThanAtMost__int,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I16_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__head,axiom,
% 201.01/201.04 ! [V_P_2,V_n_2,V_m_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I5_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I4_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_mlex__prod__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_intrel__iff,axiom,
% 201.01/201.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_rp__inv__image__rp,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_P_2,T_b] :
% 201.01/201.04 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 201.01/201.04 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUPR__fold__sup,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__I,axiom,
% 201.01/201.04 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP1__I,axiom,
% 201.01/201.04 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP2__I,axiom,
% 201.01/201.04 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UNION__empty__conv_I2_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__constant,axiom,
% 201.01/201.04 ! [V_c_2,T_c,T_b,V_A_2] :
% 201.01/201.04 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__empty2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UNION__empty__conv_I1_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( 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)
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__UN,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__Un,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__Un__distrib,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__extend__simps_I9_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__simps_I9_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I6_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I6_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__Pow__subset,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__commute,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUPR__apply,axiom,
% 201.01/201.04 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I8_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I8_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I5_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I4_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I5_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__UN__distrib,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I4_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__UN__distrib2,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__subset__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Union__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__UN__eq2,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__le__iff,axiom,
% 201.01/201.04 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.04 => ( 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))
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_less__SUP__iff,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 201.01/201.04 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.04 & class_Orderings_Olinorder(T_b) )
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__const,axiom,
% 201.01/201.04 ! [V_M_2,T_b,V_A_2,T_c] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__insert__distrib,axiom,
% 201.01/201.04 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__upper,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__UN__eq,axiom,
% 201.01/201.04 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__absorb,axiom,
% 201.01/201.04 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I1_J,axiom,
% 201.01/201.04 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__singleton,axiom,
% 201.01/201.04 ! [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 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I1_J,axiom,
% 201.01/201.04 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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))) )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I2_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I2_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__insert,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I7_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I7_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__Union2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__Union,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__INT,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__UN,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_rp__inv__image__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__lessThan__UNIV,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP__subset,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__extend__simps_I4_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_le__SUPI,axiom,
% 201.01/201.04 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__simps_I4_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 201.01/201.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_sup__SUPR__fold__sup,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 201.01/201.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_in__inv__image,axiom,
% 201.01/201.04 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 <=> 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_nat__def,axiom,
% 201.01/201.04 ! [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)))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I7_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_geometric__sum,axiom,
% 201.01/201.04 ! [V_n_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Fields_Ofield(T_b)
% 201.01/201.04 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__atMost,axiom,
% 201.01/201.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__atLeastLessThan,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ball__UN,axiom,
% 201.01/201.04 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( ! [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 => ! [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 201.01/201.04 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP1__iff,axiom,
% 201.01/201.04 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SUP2__iff,axiom,
% 201.01/201.04 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I9_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I9_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__UN__flatten,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Rep__Integ__inject,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2] :
% 201.01/201.04 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__eq__iff,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> ( V_a_2 = V_c_2
% 201.01/201.04 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( 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)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 201.01/201.04 => V_a_2 = V_c_2 ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( 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)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 201.01/201.04 => V_b_2 = V_d_2 ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__eq__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ex__nat__less__eq,axiom,
% 201.01/201.04 ! [V_P_2,V_n_2] :
% 201.01/201.04 ( ? [B_m] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 201.01/201.04 & hBOOL(hAPP(V_P_2,B_m)) )
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_all__nat__less__eq,axiom,
% 201.01/201.04 ! [V_P_2,V_n_2] :
% 201.01/201.04 ( ! [B_m] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 201.01/201.04 => hBOOL(hAPP(V_P_2,B_m)) )
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__add__Un,axiom,
% 201.01/201.04 ! [V_k_2,V_j_2,V_i_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__atMost__UNIV,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan0,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast0LessThan,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_subset__card__intvl__is__intvl,axiom,
% 201.01/201.04 ! [V_k_2,V_A_2] :
% 201.01/201.04 ( 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)))))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__atLeastLessThan,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__empty,axiom,
% 201.01/201.04 ! [V_a_2,V_b_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__empty__iff,axiom,
% 201.01/201.04 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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))
% 201.01/201.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 201.01/201.04 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__subset__iff,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 201.01/201.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 201.01/201.04 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I17_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 201.01/201.04 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__diff,axiom,
% 201.01/201.04 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__UN__finite__eq,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I11_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast0AtMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_lessThan__Suc__atMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__atMost,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__Suc,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__iff,axiom,
% 201.01/201.04 ! [V_k_2,V_i_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oord(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__subset__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__add__nat__ivl,axiom,
% 201.01/201.04 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__diff__nat__ivl,axiom,
% 201.01/201.04 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 201.01/201.04 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__le__add__shift,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThan__singleton,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I21_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I15_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__atLeastLessThan,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I8_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I2_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I9_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 201.01/201.04 ! [V_k_2,V_f_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__head__upt__Suc,axiom,
% 201.01/201.04 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThanSuc,axiom,
% 201.01/201.04 ! [V_n_2,V_m_2] :
% 201.01/201.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__atMost__Suc,axiom,
% 201.01/201.04 ! [V_n_2,V_f_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__0,axiom,
% 201.01/201.04 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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__atLeastAtMostR1,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__atLeastAtMostL1,axiom,
% 201.01/201.04 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I9_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I3_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I1_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__op__ivl__Suc,axiom,
% 201.01/201.04 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/201.04 => 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) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I15_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__le__eq__Un0,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_measure__def,axiom,
% 201.01/201.04 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I6_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I2_J,axiom,
% 201.01/201.04 ! [V_u_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I3_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I10_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I18_J,axiom,
% 201.01/201.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_irrefl__def,axiom,
% 201.01/201.04 ! [V_r_2,T_b] :
% 201.01/201.04 ( c_Relation_Oirrefl(T_b,V_r_2)
% 201.01/201.04 <=> ! [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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__finite2__subset,axiom,
% 201.01/201.04 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 201.01/201.04 ( ! [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)))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Field__insert,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__finite2__eq,axiom,
% 201.01/201.04 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 201.01/201.04 ( ! [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)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__atLeastLessThan__int,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Field__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_mono__Field,axiom,
% 201.01/201.04 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Field__Un,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__Field,axiom,
% 201.01/201.04 ! [V_r_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__atLeastLessThan__int,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__finite__subset,axiom,
% 201.01/201.04 ! [V_C_2,V_A_2,T_b] :
% 201.01/201.04 ( ! [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))
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__def,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 201.01/201.04 ! [V_x_2,V_y_2,V_c_2] :
% 201.01/201.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 201.01/201.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.04 => 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))) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__eqI,axiom,
% 201.01/201.04 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 201.01/201.04 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__imageI,axiom,
% 201.01/201.04 ! [V_h_2,T_c,V_F_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__extend__simps_I10_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__UN,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__simps_I10_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__insert,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Un,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Pow__mono,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__mono,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_subset__image__iff,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 <=> ? [B_AA] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 201.01/201.04 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_range__composition,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__image,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Pow__surj,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__simps_I10_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__extend__simps_I10_J,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_rev__image__eqI,axiom,
% 201.01/201.04 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_imageI,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__iff,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_empty__is__image,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( 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)
% 201.01/201.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__is__empty,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_insert__image,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_rangeI,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_range__eqI,axiom,
% 201.01/201.04 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 201.01/201.04 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 201.01/201.04 => 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))))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__surj,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Int__subset,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__diff__subset,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__atLeastAtMost,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Suc__atLeastLessThan,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Suc__atLeastAtMost,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__constant__conv,axiom,
% 201.01/201.04 ! [V_c_2,T_c,T_b,V_A_2] :
% 201.01/201.04 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__range__imageI,axiom,
% 201.01/201.04 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 201.01/201.04 ( 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)))))
% 201.01/201.04 => 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))))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__add__atLeastLessThan,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__add__atLeastAtMost,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__def_H,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Union,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__image__le,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__atLeastLessThan,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__constant,axiom,
% 201.01/201.04 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__eq__UN,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__eq__fold__image,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__iff,axiom,
% 201.01/201.04 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 <=> ( V_x_2 = V_y_2
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__eqI,axiom,
% 201.01/201.04 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 201.01/201.04 ( V_a_2 = V_b_2
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_minus__Min__eq__Max,axiom,
% 201.01/201.04 ! [V_S_2,T_b] :
% 201.01/201.04 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.04 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_minus__Max__eq__Min,axiom,
% 201.01/201.04 ! [V_S_2,T_b] :
% 201.01/201.04 ( class_Groups_Olinordered__ab__group__add(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.04 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_surj__Compl__image__subset,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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)))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__onE,axiom,
% 201.01/201.04 ! [V_A_2,V_c_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 201.01/201.04 => ~ ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThan__0,axiom,
% 201.01/201.04 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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_pair__imageI,axiom,
% 201.01/201.04 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Cantors__paradox,axiom,
% 201.01/201.04 ! [V_A_2,T_b] :
% 201.01/201.04 ~ ? [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 201.01/201.04 ! [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 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( V_A_2 = V_B_2
% 201.01/201.04 <=> 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThan__eq__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 201.01/201.04 ! [V_A_2,V_x_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Field__Union,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Union__image__eq,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UNION__eq__Union__image,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Inter__image__eq,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INTER__eq__Inter__image,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThan__iff,axiom,
% 201.01/201.04 ! [V_k_2,V_i_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oord(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThan__subset__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Un__Union__image,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__Inter__image,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Pow__insert,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 201.01/201.04 ! [V_A_2] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__greaterThan,axiom,
% 201.01/201.04 ! [V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__atMost,axiom,
% 201.01/201.04 ! [V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 201.01/201.04 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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 201.01/201.04 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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_INT__greaterThan__UNIV,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__add__int__atLeastLessThan,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__ident,axiom,
% 201.01/201.04 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I7_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I11_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__lessThan,axiom,
% 201.01/201.04 ! [V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__greaterThan,axiom,
% 201.01/201.04 ! [V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I5_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_greaterThan__Suc,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 201.01/201.04 ! [V_n_2,V_m_2] :
% 201.01/201.04 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 201.01/201.04 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 201.01/201.04 ! [V_u_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__image,axiom,
% 201.01/201.04 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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)))))) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__triv,axiom,
% 201.01/201.04 ! [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 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__idem,axiom,
% 201.01/201.04 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 201.01/201.04 ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.01/201.04 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__other,axiom,
% 201.01/201.04 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 201.01/201.04 ( V_z_2 != V_x_2
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__twist,axiom,
% 201.01/201.04 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 201.01/201.04 ( V_a_2 != V_c_2
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__apply,axiom,
% 201.01/201.04 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 201.01/201.04 ( ( V_z_2 = V_x_2
% 201.01/201.04 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 201.01/201.04 & ( V_z_2 != V_x_2
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__same,axiom,
% 201.01/201.04 ! [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 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__upd,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__idem__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 201.01/201.04 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fun__upd__def,axiom,
% 201.01/201.04 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 201.01/201.04 ( ( V_x_2 = V_a_2
% 201.01/201.04 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 201.01/201.04 & ( V_x_2 != V_a_2
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 201.01/201.04 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_nat__set__def,axiom,
% 201.01/201.04 ! [V_S_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_S_2)
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => ( V_A_2 = V_B_2
% 201.01/201.04 <=> 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2] :
% 201.01/201.04 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.01/201.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.01/201.04 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 201.01/201.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 201.01/201.04 ! [V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 201.01/201.04 ! [V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 201.01/201.04 <=> 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 201.01/201.04 ! [V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 201.01/201.04 ! [V_A_2,V_x_2] :
% 201.01/201.04 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 201.01/201.04 <=> 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))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 <=> 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))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2] :
% 201.01/201.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 <=> 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))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__Suc,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Max_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Min_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__eq__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__iff,axiom,
% 201.01/201.04 ! [V_k_2,V_i_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oord(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__subset__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__0,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__lessThan,axiom,
% 201.01/201.04 ! [V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__atLeast,axiom,
% 201.01/201.04 ! [V_k_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atLeast__Suc__greaterThan,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I14_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I8_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__atLeastAtMostR2,axiom,
% 201.01/201.04 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Int__atLeastAtMostL2,axiom,
% 201.01/201.04 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__atLeast__UNIV,axiom,
% 201.01/201.04 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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__int_I6_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__atMost,axiom,
% 201.01/201.04 ! [V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__uminus__atLeast,axiom,
% 201.01/201.04 ! [V_x_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_atMost__Int__atLeast,axiom,
% 201.01/201.04 ! [V_n_2,T_b] :
% 201.01/201.04 ( class_Orderings_Oorder(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I1_J,axiom,
% 201.01/201.04 ! [V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I13_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ivl__disj__un_I12_J,axiom,
% 201.01/201.04 ! [V_u_2,V_l_2,T_b] :
% 201.01/201.04 ( class_Orderings_Olinorder(T_b)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Inf__fin_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Lattices_Olattice(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sup__fin_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Lattices_Olattice(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_hom__fold1__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,T_b] :
% 201.01/201.04 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__intrel__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 <=> 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 201.01/201.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => ( V_A_2 = V_B_2
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 201.01/201.04 => 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) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 201.01/201.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 201.01/201.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 201.01/201.04 => ( V_A_2 = V_B_2
% 201.01/201.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 201.01/201.04 => 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) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__UN,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__Un,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__Int__subset,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__mono,axiom,
% 201.01/201.04 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Un__Image,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__Id__on,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__INT__subset,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__iff,axiom,
% 201.01/201.04 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.04 & 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_rev__ImageI,axiom,
% 201.01/201.04 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__eq__UN,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__singleton__iff,axiom,
% 201.01/201.04 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 201.01/201.04 ( 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))))))
% 201.01/201.04 <=> 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_of__int,axiom,
% 201.01/201.04 ! [V_j_2,V_i_2,T_b] :
% 201.01/201.04 ( class_Rings_Oring__1(T_b)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_One__int__def,axiom,
% 201.01/201.04 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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_mult,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Rep__Integ__inverse,axiom,
% 201.01/201.04 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_minus,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Zero__int__def,axiom,
% 201.01/201.04 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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_int__def,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_add,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_nat,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_minus__int__def,axiom,
% 201.01/201.04 ! [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))))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_less,axiom,
% 201.01/201.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.01/201.04 ( 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)))))))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_le,axiom,
% 201.01/201.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 201.01/201.04 ( 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)))))))
% 201.01/201.04 <=> 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_eq__Abs__Integ,axiom,
% 201.01/201.04 ! [V_z_2] :
% 201.01/201.04 ~ ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__def,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_ImageE,axiom,
% 201.01/201.04 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 201.01/201.04 => ~ ! [B_x] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__is__empty,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__is__empty2,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( 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)
% 201.01/201.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotientI,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_singleton__quotient,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__class__nondisjoint,axiom,
% 201.01/201.04 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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)))))))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_subset__equiv__class,axiom,
% 201.01/201.04 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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))))))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotientE,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ~ ! [B_x] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__intrel,axiom,
% 201.01/201.04 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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Union__quotient,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__class__self,axiom,
% 201.01/201.04 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => 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)))))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__disj,axiom,
% 201.01/201.04 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( V_X_2 = V_Y_2
% 201.01/201.04 | 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__class__eq,axiom,
% 201.01/201.04 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => 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)))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__eq__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 201.01/201.04 => ( V_X_2 = V_Y_2
% 201.01/201.04 <=> 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)) ) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__eqI,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_eq__equiv__class,axiom,
% 201.01/201.04 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_eq__equiv__class__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/201.04 => ( 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))))
% 201.01/201.04 <=> 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__class__eq__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 <=> ( 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))))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__class__subset,axiom,
% 201.01/201.04 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => 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)))))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_eq__equiv__class__iff2,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__equiv__class2,axiom,
% 201.01/201.04 ! [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] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.01/201.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 201.01/201.04 => 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) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__equiv__class,axiom,
% 201.01/201.04 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => 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) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equivp__equiv,axiom,
% 201.01/201.04 ! [V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 201.01/201.04 <=> 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equivp__transp,axiom,
% 201.01/201.04 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equivp__symp,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equivp__reflp,axiom,
% 201.01/201.04 ! [V_x_2,V_R_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.04 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equivp__def,axiom,
% 201.01/201.04 ! [V_R_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.04 <=> ! [B_x,B_y] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 201.01/201.04 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_identity__equivp,axiom,
% 201.01/201.04 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_congruent2__implies__congruent,axiom,
% 201.01/201.04 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_congruent2D,axiom,
% 201.01/201.04 ! [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] :
% 201.01/201.04 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_congruentD,axiom,
% 201.01/201.04 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_congruent2__implies__congruent__UN,axiom,
% 201.01/201.04 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.01/201.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__equiv__class__inject,axiom,
% 201.01/201.04 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.01/201.04 => ( 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)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => ! [B_y] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.01/201.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 201.01/201.04 => 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)) ) ) )
% 201.01/201.04 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__equiv__class__type2,axiom,
% 201.01/201.04 ! [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] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 201.01/201.04 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( ! [B_x1] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 201.01/201.04 => ! [B_x2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 201.01/201.04 => 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)) ) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__equiv__class__type,axiom,
% 201.01/201.04 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Integ__def,axiom,
% 201.01/201.04 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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__quotient__disjoint,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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)
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_accp__acc__eq,axiom,
% 201.01/201.04 ! [V_x_2,V_r_2,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__empty,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__uminus,axiom,
% 201.01/201.04 ! [V_A_2,T_b] :
% 201.01/201.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__def,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => ! [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.01/201.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 201.01/201.04 => B_x = B_xa ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__id2,axiom,
% 201.01/201.04 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_subset__inj__on,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__Int,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__diff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__onD,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/201.04 => V_x_2 = V_y_2 ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__iff,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/201.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__contraD,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( V_x_2 != V_y_2
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 201.01/201.04 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__fun,axiom,
% 201.01/201.04 ! [T_d,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__eq,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_injD,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.01/201.04 => V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__imageD,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__image__eq__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> V_A_2 = V_B_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ( 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)
% 201.01/201.04 <=> V_A_2 = V_B_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__image,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => 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) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__strict__subset,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__image__mem__iff,axiom,
% 201.01/201.04 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_range__ex1__eq,axiom,
% 201.01/201.04 ! [V_b_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( 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)))))
% 201.01/201.04 <=> ? [B_x] :
% 201.01/201.04 ( V_b_2 = hAPP(V_f_2,B_x)
% 201.01/201.04 & ! [B_y] :
% 201.01/201.04 ( V_b_2 = hAPP(V_f_2,B_y)
% 201.01/201.04 => B_y = B_x ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__iff__surj,axiom,
% 201.01/201.04 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 201.01/201.04 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => ( ? [B_f] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 201.01/201.04 & 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)) )
% 201.01/201.04 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_endo__inj__surj,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 201.01/201.04 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__surj__inj,axiom,
% 201.01/201.04 ! [V_f_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__UNIV__surj__inj,axiom,
% 201.01/201.04 ! [V_f_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__UNIV__inj__surj,axiom,
% 201.01/201.04 ! [V_f_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__image__subset__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__image__Int,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__Int,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_eq__card__imp__inj__on,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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)
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__iff__eq__card,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 <=> 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__image__set__diff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__set__diff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_pigeonhole,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__fun__updI,axiom,
% 201.01/201.04 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_acc__subset,axiom,
% 201.01/201.04 ! [V_R2_2,V_R1_2,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__singleton,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Rep__Integ,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__bij__eq,axiom,
% 201.01/201.04 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__image__Compl__subset,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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)))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_acc_Osimps,axiom,
% 201.01/201.04 ! [V_r_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.01/201.04 <=> ! [B_x] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_acc__downward,axiom,
% 201.01/201.04 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__insert,axiom,
% 201.01/201.04 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 201.01/201.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 & ~ 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))))))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__Un,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.04 & 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__iff__card__le,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.04 => ( ? [B_f] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 201.01/201.04 & 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)) )
% 201.01/201.04 <=> 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))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__inj__on__le,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( 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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.04 => 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))) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_quotient__diff1,axiom,
% 201.01/201.04 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 201.01/201.04 ( 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)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__INT,axiom,
% 201.01/201.04 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 201.01/201.04 => 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)) )
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition__Integ,axiom,
% 201.01/201.04 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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__into__into,axiom,
% 201.01/201.04 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__add__nat,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__Suc,axiom,
% 201.01/201.04 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__of__nat,axiom,
% 201.01/201.04 ! [T_b] :
% 201.01/201.04 ( class_Nat_Osemiring__char__0(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__int,axiom,
% 201.01/201.04 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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_swap__inj__on,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__into__f__f,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__into__f__eq,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.04 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__the__inv__into,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__into__onto,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__f__f,axiom,
% 201.01/201.04 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_f__the__inv__into__f,axiom,
% 201.01/201.04 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_OAbs__image,axiom,
% 201.01/201.04 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_ORep__range,axiom,
% 201.01/201.04 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_ORep,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_ORep__inverse,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_ORep__inject,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_OAbs__inject,axiom,
% 201.01/201.04 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 201.01/201.04 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 201.01/201.04 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_type__definition_OAbs__inverse,axiom,
% 201.01/201.04 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 201.01/201.04 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 201.01/201.04 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_max__extp_Oequations,axiom,
% 201.01/201.04 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 201.01/201.04 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 201.01/201.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.01/201.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.01/201.04 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 & ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.01/201.04 => ? [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_max__ext_Ointros,axiom,
% 201.01/201.04 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 201.01/201.04 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 201.01/201.04 => ? [B_xa] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 201.01/201.04 & 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)) ) )
% 201.01/201.04 => 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))) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nitpick_Oone__frac__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Nitpick_Ofrac__def,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__Inter,axiom,
% 201.01/201.04 ! [V_f_2,T_c,T_b,V_S_2] :
% 201.01/201.04 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 201.01/201.04 => ( ! [B_A] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 201.01/201.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__elem__def,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 201.01/201.04 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 201.01/201.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 201.01/201.04 => ( ! [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))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_The__split__eq,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_split__paired__The,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_the__inv__into__def,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fold__def,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_divmod__nat__def,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fold1__def,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_The__split,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_flat__lub__def,axiom,
% 201.01/201.04 ! [V_b_2,V_A_2,T_b] :
% 201.01/201.04 ( ( 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)))))
% 201.01/201.04 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 201.01/201.04 & ( ~ 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)))))
% 201.01/201.04 => 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)))))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__vimage__singleton,axiom,
% 201.01/201.04 ! [V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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))))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Rep__Integ__cases,axiom,
% 201.01/201.04 ! [V_y_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 201.01/201.04 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimageI,axiom,
% 201.01/201.04 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 201.01/201.04 ( hAPP(V_f_2,V_a_2) = V_b_2
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__Diff,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimageI2,axiom,
% 201.01/201.04 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimageD,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__eq,axiom,
% 201.01/201.04 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__ident,axiom,
% 201.01/201.04 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__Compl,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__code,axiom,
% 201.01/201.04 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 201.01/201.04 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__empty,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__INT,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__Int,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__mono,axiom,
% 201.01/201.04 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__Un,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__UN,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__UNIV,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__vimage__subset,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_surj__image__vimage__eq,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__Union,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__singleton__eq,axiom,
% 201.01/201.04 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 201.01/201.04 ( 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))))))
% 201.01/201.04 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__insert,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__vimageD,axiom,
% 201.01/201.04 ! [V_F_2,V_h_2,T_c,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__subsetD,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__vimage__eq,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__vimageI,axiom,
% 201.01/201.04 ! [V_h_2,T_c,V_F_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 201.01/201.04 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__vimage__image__eq,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => 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 ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__const,axiom,
% 201.01/201.04 ! [T_c,V_A_2,V_c_2,T_b] :
% 201.01/201.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__eq__UN,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__subsetI,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_vimage__if,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 201.01/201.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/201.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.01/201.04 => 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 ) ) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 201.01/201.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.01/201.04 => 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) )
% 201.01/201.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 201.01/201.04 => 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)) ) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_image__split__eq__Sigma,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Rep__Integ__induct,axiom,
% 201.01/201.04 ! [V_P_2,V_y_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 201.01/201.04 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 201.01/201.04 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_inj__on__INTER,axiom,
% 201.01/201.04 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 201.01/201.04 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => ( ! [B_i] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 201.01/201.04 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SigmaI,axiom,
% 201.01/201.04 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Union,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__eq__cancel2,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 201.01/201.04 => ( 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))
% 201.01/201.04 <=> V_A_2 = V_B_2 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Diff__distrib1,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__Diff__distrib1,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Diff__distrib2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__empty1,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__cartesian__product,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__cartesian__product,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__empty2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__empty,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__Times__UNIV1,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Compl__Times__UNIV2,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setprod__cartesian__product,axiom,
% 201.01/201.04 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__mult(T_b)
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Un__distrib1,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__Un__distrib1,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Un__distrib2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_swap__product,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__cartesian__product,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.04 => 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)))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_equiv__type,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.04 => 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)))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Int__distrib2,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__Int__distrib1,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__Int__distrib1,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Id__on__subset__Times,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UNIV__Times__UNIV,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_mem__Sigma__iff,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SigmaD1,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SigmaD2,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SigmaE2,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__cartesian__product__singleton,axiom,
% 201.01/201.04 ! [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) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Times__subset__cancel2,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 201.01/201.04 => ( 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))))
% 201.01/201.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Image__subset,axiom,
% 201.01/201.04 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 => 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)) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__cartesian__productD2,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__cartesian__productD1,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,T_c,T_b] :
% 201.01/201.04 ( 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))))
% 201.01/201.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fst__image__times,axiom,
% 201.01/201.04 ! [V_A_2,T_c,T_b,V_B_2] :
% 201.01/201.04 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_snd__image__times,axiom,
% 201.01/201.04 ! [V_B_2,T_c,T_b,V_A_2] :
% 201.01/201.04 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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)) )
% 201.01/201.04 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.04 => 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 ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_insert__times__insert,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__equiv__class,axiom,
% 201.01/201.04 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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))))
% 201.01/201.04 => ( 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)))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_UN__Times__distrib,axiom,
% 201.01/201.04 ! [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))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Sigma__def,axiom,
% 201.01/201.04 ! [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))))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__quotient,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( 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))))
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 201.01/201.04 ! [V_A_2,V_I_2,T_c,T_b] :
% 201.01/201.04 ? [B_f] :
% 201.01/201.04 ( 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))
% 201.01/201.04 & 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fold__image__Sigma,axiom,
% 201.01/201.04 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__SigmaI,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( ! [B_a] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setprod__Sigma,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_setsum__Sigma,axiom,
% 201.01/201.04 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 201.01/201.04 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.01/201.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__SigmaI,axiom,
% 201.01/201.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.04 => ( ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 201.01/201.04 => 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) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_SigmaE,axiom,
% 201.01/201.04 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ~ ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => ! [B_y] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 201.01/201.04 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__surj,axiom,
% 201.01/201.04 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ( 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))
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__inj__on,axiom,
% 201.01/201.04 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.04 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 201.01/201.04 => 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))) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__imageI,axiom,
% 201.01/201.04 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => 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))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_snd__prod__fun,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__ident,axiom,
% 201.01/201.04 ! [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 ).
% 201.01/201.04
% 201.01/201.04 fof(fact_fst__map__pair,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__simp,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__def,axiom,
% 201.01/201.04 ! [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)) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_map__pair__surj__on,axiom,
% 201.01/201.04 ! [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] :
% 201.01/201.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 201.01/201.04 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 201.01/201.04 => 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_prod__fun__imageE,axiom,
% 201.01/201.04 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 201.01/201.04 ( 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)))
% 201.01/201.04 => ~ ! [B_x,B_y] :
% 201.01/201.04 ( 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))
% 201.01/201.04 => ~ 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)) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_refl__on__def,axiom,
% 201.01/201.04 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.04 <=> ( 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))))
% 201.01/201.04 & ! [B_x] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.04 => 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)) ) ) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_card__less__Suc,axiom,
% 201.01/201.04 ! [V_i_2,V_M_2] :
% 201.01/201.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.01/201.04 => 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))))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_CollectI,axiom,
% 201.01/201.04 ! [T_b,V_a_2,V_P_2] :
% 201.01/201.04 ( hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__Collect__conjI,axiom,
% 201.01/201.04 ! [V_Q_2,V_P_2,T_b] :
% 201.01/201.04 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.04 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 201.01/201.04 => 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)))) ) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__Collect__less__nat,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.04 fof(fact_finite__Collect__le__nat,axiom,
% 201.01/201.04 ! [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)))) ).
% 201.01/201.04
% 201.01/201.05 fof(fact_SetCompr__Sigma__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__split,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__neg__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_vimage__Collect__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_UNIV__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__disj__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__conj__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_empty__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Collect__disjI,axiom,
% 201.01/201.05 ! [V_Q_2,V_P_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__empty__eq,axiom,
% 201.01/201.05 ! [V_P_2,T_b] :
% 201.01/201.05 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_empty__Collect__eq,axiom,
% 201.01/201.05 ! [V_P_2,T_b] :
% 201.01/201.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 201.01/201.05 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__def,axiom,
% 201.01/201.05 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_insert__Collect,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__Id__on,axiom,
% 201.01/201.05 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__mem__eq,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_mem__Collect__eq,axiom,
% 201.01/201.05 ! [V_P_2,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_CollectD,axiom,
% 201.01/201.05 ! [V_P_2,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_CollectE,axiom,
% 201.01/201.05 ! [V_P_2,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_insert__compr,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_insert__compr__raw,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Un__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Int__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Int__Collect,axiom,
% 201.01/201.05 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__conv__if,axiom,
% 201.01/201.05 ! [T_b,V_a_2,V_P_2] :
% 201.01/201.05 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.05 => 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))) )
% 201.01/201.05 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__conv__if2,axiom,
% 201.01/201.05 ! [T_b,V_a_2,V_P_2] :
% 201.01/201.05 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.05 => 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))) )
% 201.01/201.05 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_singleton__conv,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_singleton__conv2,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__diff__eq,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Collect__not,axiom,
% 201.01/201.05 ! [V_P_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_insert__def,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Compl__eq,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_vimage__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__imp__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__M__bounded__by__nat,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__empty,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__Un,axiom,
% 201.01/201.05 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__Int,axiom,
% 201.01/201.05 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__setsum__restrict,axiom,
% 201.01/201.05 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_if__image__distrib,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nat__seg__image__imp__finite,axiom,
% 201.01/201.05 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__onD,axiom,
% 201.01/201.05 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__onD2,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__onD1,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__restrict__set_H,axiom,
% 201.01/201.05 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__image__gen,axiom,
% 201.01/201.05 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__singleton,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__cases,axiom,
% 201.01/201.05 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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))))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_card__less__Suc2,axiom,
% 201.01/201.05 ! [V_i_2,V_M_2] :
% 201.01/201.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_card__less,axiom,
% 201.01/201.05 ! [V_i_2,V_M_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__onI,axiom,
% 201.01/201.05 ! [V_A_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => 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)) )
% 201.01/201.05 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__multicount,axiom,
% 201.01/201.05 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 201.01/201.05 => 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 )
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))))) ) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Collect__subsets,axiom,
% 201.01/201.05 ! [V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Pow__Compl,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Pow__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__image__set,axiom,
% 201.01/201.05 ! [V_f_2,T_c,V_P_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Collect__bounded__ex,axiom,
% 201.01/201.05 ! [V_Q_2,T_c,V_P_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 201.01/201.05 => ( 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)))))
% 201.01/201.05 <=> ! [B_y] :
% 201.01/201.05 ( hBOOL(hAPP(V_P_2,B_y))
% 201.01/201.05 => 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)))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__graph,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__psubset__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inv__image__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_add__Min__commute,axiom,
% 201.01/201.05 ! [V_k_2,V_N_2,T_b] :
% 201.01/201.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_add__Max__commute,axiom,
% 201.01/201.05 ! [V_k_2,V_N_2,T_b] :
% 201.01/201.05 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 201.01/201.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_sup__Inf2__distrib,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Lattices_Odistrib__lattice(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))))) ) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_sup__Inf1__distrib,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Lattices_Odistrib__lattice(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inf__Sup2__distrib,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Lattices_Odistrib__lattice(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))))) ) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inf__Sup1__distrib,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Lattices_Odistrib__lattice(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))))) ) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 => 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))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oprod__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_int__ge__less__than2__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_int__ge__less__than__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reflp__def,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Rings_Osemiring__0(T_d)
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))))))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__multicount__gen,axiom,
% 201.01/201.05 ! [V_k_2,V_R_2,V_ta_2,T_c,V_s_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_ta_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_ta_2))
% 201.01/201.05 => 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) )
% 201.01/201.05 => 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_ta_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_ta_2) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__on__id,axiom,
% 201.01/201.05 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_id__apply,axiom,
% 201.01/201.05 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 201.01/201.05
% 201.01/201.05 fof(fact_id__def,axiom,
% 201.01/201.05 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reflpE,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Predicate_Oreflp(T_b,V_r_2)
% 201.01/201.05 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apsnd__id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apfst__id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_vimage__id,axiom,
% 201.01/201.05 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_map__pair_Oid,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_map__pair_Oidentity,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_image__id,axiom,
% 201.01/201.05 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_of__int__eq__id,axiom,
% 201.01/201.05 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_surj__id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apsnd__def,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apfst__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_split__Pair,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__reindex__id,axiom,
% 201.01/201.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setprod__reindex__id,axiom,
% 201.01/201.05 ! [V_B_2,V_f_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__conv__nat__seg__image,axiom,
% 201.01/201.05 ! [V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 <=> ? [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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__def,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Collect__split,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__compI,axiom,
% 201.01/201.05 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_RangeI,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__UNION__distrib2,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__UNION__distrib,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__distrib,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__distrib2,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_O__assoc,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__empty1,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__empty2,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Id__on,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_union__comp__emptyR,axiom,
% 201.01/201.05 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_union__comp__emptyL,axiom,
% 201.01/201.05 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Union,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__empty,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__empty__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_b,T_c] :
% 201.01/201.05 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__comp__subset__Sigma,axiom,
% 201.01/201.05 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => 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)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Un__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Range,axiom,
% 201.01/201.05 ! [V_r_2,T_c,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 201.01/201.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_snd__eq__Range,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 201.01/201.05 <=> ? [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__insert,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Int__subset,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Diff__subset,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_max__ext__compat,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__ext__compat,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_RangeP__Range__eq,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_RangeE,axiom,
% 201.01/201.05 ! [V_r_2,T_c,V_b_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 201.01/201.05 => ~ ! [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pred__comp__rel__comp__eq,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pred__comp_Ointros,axiom,
% 201.01/201.05 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_RangeP_Ointros,axiom,
% 201.01/201.05 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.01/201.05 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_RangeP_Oequations,axiom,
% 201.01/201.05 ! [V_a2_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 201.01/201.05 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pred__comp_Oequations,axiom,
% 201.01/201.05 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> ? [B_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 201.01/201.05 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reduction__pairI,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Collect__split,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_the__sym__eq__trivial,axiom,
% 201.01/201.05 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__less__than,axiom,
% 201.01/201.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__empty,axiom,
% 201.01/201.05 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__inv__image,axiom,
% 201.01/201.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__lex__prod,axiom,
% 201.01/201.05 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 201.01/201.05 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__measure,axiom,
% 201.01/201.05 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_DomainI,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__comp__self,axiom,
% 201.01/201.05 ! [V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__ext__wf,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__subset,axiom,
% 201.01/201.05 ! [V_p_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__mlex,axiom,
% 201.01/201.05 ! [V_f_2,V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__finite__psubset,axiom,
% 201.01/201.05 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__Int1,axiom,
% 201.01/201.05 ! [V_r_H_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__Int2,axiom,
% 201.01/201.05 ! [V_r_H_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Id__on,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__pair__less,axiom,
% 201.01/201.05 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_max__ext__wf,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__less,axiom,
% 201.01/201.05 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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__not__refl,axiom,
% 201.01/201.05 ! [V_a_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ~ 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__not__sym,axiom,
% 201.01/201.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__asym,axiom,
% 201.01/201.05 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__irrefl,axiom,
% 201.01/201.05 ! [V_a_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ~ 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__int__ge__less__than,axiom,
% 201.01/201.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__int__ge__less__than2,axiom,
% 201.01/201.05 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__Un,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__acc__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acc__wfD,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__no__loop,axiom,
% 201.01/201.05 ! [V_R_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__union__merge,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__empty__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_c,T_b] :
% 201.01/201.05 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__empty,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Un__eq,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__Domain,axiom,
% 201.01/201.05 ! [V_r_2,T_c,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 201.01/201.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fst__eq__Domain,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 <=> ~ ? [B_f] :
% 201.01/201.05 ! [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfE__pf,axiom,
% 201.01/201.05 ! [V_A_2,V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__union__compatible,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 201.01/201.05 <=> ? [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf,axiom,
% 201.01/201.05 ! [T_b] :
% 201.01/201.05 ( class_Orderings_Owellorder(T_b)
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__insert,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reduction__pair__def,axiom,
% 201.01/201.05 ! [V_P_2,T_b] :
% 201.01/201.05 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 201.01/201.05 <=> ( 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))
% 201.01/201.05 & 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reduction__pair__lemma,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 201.01/201.05 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 201.01/201.05 => 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)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Int__subset,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Diff__subset,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Field__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__map__pair__image,axiom,
% 201.01/201.05 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Union,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_the__eq__trivial,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_DomainP__Domain__eq,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__lenlex,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_DomainE,axiom,
% 201.01/201.05 ! [V_r_2,T_c,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 201.01/201.05 => ~ ! [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_DomainP_Ointros,axiom,
% 201.01/201.05 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.01/201.05 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_DomainP_Oequations,axiom,
% 201.01/201.05 ! [V_a1_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 201.01/201.05 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pred__nat__def,axiom,
% 201.01/201.05 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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__lex,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__lexn,axiom,
% 201.01/201.05 ! [V_n_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lex__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexn_Osimps_I1_J,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__pred__nat,axiom,
% 201.01/201.05 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__same__fst,axiom,
% 201.01/201.05 ! [T_b,V_R_2,T_c,V_P_2] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.05 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 201.01/201.05 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__if__measure,axiom,
% 201.01/201.05 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.05 => 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))) )
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__def,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__empty,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__accp__iff,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.01/201.05 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_accp__wfPD,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.01/201.05 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__subset,axiom,
% 201.01/201.05 ! [V_p_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__in__rel,axiom,
% 201.01/201.05 ! [V_R_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_R_2)
% 201.01/201.05 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__wf__eq,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__acyclicP,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pigeonhole__infinite,axiom,
% 201.01/201.05 ! [V_f_2,T_c,V_A_2,T_b] :
% 201.01/201.05 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.05 => ? [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 & ~ 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)))))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__def_H,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 <=> ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 201.01/201.05 => 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)) )
% 201.01/201.05 & ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_ball__empty,axiom,
% 201.01/201.05 ! [V_P_2,T_b,B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__acyclic,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Powp__def,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 201.01/201.05 <=> ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 201.01/201.05 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acyclic__subset,axiom,
% 201.01/201.05 ! [V_r_2,V_s_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_INFI__bool__eq,axiom,
% 201.01/201.05 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Collect__ball__eq,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_congruent__def,axiom,
% 201.01/201.05 ! [V_f_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 201.01/201.05 <=> ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_INTER__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__acyclic__wf,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.01/201.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.01/201.05 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Sup__Inf,axiom,
% 201.01/201.05 ! [V_A_2,T_b] :
% 201.01/201.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.05 => 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)))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Inf__Sup,axiom,
% 201.01/201.05 ! [V_A_2,T_b] :
% 201.01/201.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Owf_H__def,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 201.01/201.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.05 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.01/201.05 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Abs__Integ__induct,axiom,
% 201.01/201.05 ! [V_x_2,V_P_2] :
% 201.01/201.05 ( ! [B_y] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 201.01/201.05 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Abs__Integ__cases,axiom,
% 201.01/201.05 ! [V_x_2] :
% 201.01/201.05 ~ ! [B_y] :
% 201.01/201.05 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 201.01/201.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Inter__eq,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__UN__I,axiom,
% 201.01/201.05 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( ! [B_a] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.01/201.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__on__diff__nat,axiom,
% 201.01/201.05 ! [V_k_2,V_N_2] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfP__SUP,axiom,
% 201.01/201.05 ! [T_b,V_r_2,T_c] :
% 201.01/201.05 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 201.01/201.05 => ( ! [B_i,B_j] :
% 201.01/201.05 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 201.01/201.05 => 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)) )
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_mem__splitE,axiom,
% 201.01/201.05 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_x,B_y] :
% 201.01/201.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 201.01/201.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_mem__splitI2,axiom,
% 201.01/201.05 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 201.01/201.05 ( ! [B_a,B_b] :
% 201.01/201.05 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_vimage__Times,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__id,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_id__o,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__eq__id__dest,axiom,
% 201.01/201.05 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__eq__elim,axiom,
% 201.01/201.05 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__eq__dest,axiom,
% 201.01/201.05 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__apply,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__assoc,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_K__record__comp,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 201.01/201.05 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__cong,axiom,
% 201.01/201.05 ! [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] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_o__eq__dest__lhs,axiom,
% 201.01/201.05 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 201.01/201.05 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 201.01/201.05 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apsnd__compose,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_apfst__compose,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fun__upd__comp,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_vimage__compose,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_map__pair_Ocomp,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_map__pair__compose,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_map__pair_Ocompositionality,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_image__compose,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__surj,axiom,
% 201.01/201.05 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__comp,axiom,
% 201.01/201.05 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__on__imageI2,axiom,
% 201.01/201.05 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_inj__on__imageI,axiom,
% 201.01/201.05 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__inj__on,axiom,
% 201.01/201.05 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__inj__on__iff,axiom,
% 201.01/201.05 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 <=> 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__reindex,axiom,
% 201.01/201.05 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setprod__reindex__cong,axiom,
% 201.01/201.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.01/201.05 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 201.01/201.05 => 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) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setprod__reindex,axiom,
% 201.01/201.05 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum_Oreindex,axiom,
% 201.01/201.05 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setprod_Oreindex,axiom,
% 201.01/201.05 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_the__inv__into__comp,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fold__image__reindex,axiom,
% 201.01/201.05 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Oab__semigroup__mult(T_d)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Oremove,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__image_Oreindex,axiom,
% 201.01/201.05 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/201.05 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ounion,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__left__comp,axiom,
% 201.01/201.05 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__comp,axiom,
% 201.01/201.05 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 201.01/201.05 ! [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] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_UN__o,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_fst__comp__map__pair,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_snd__comp__map__pair,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__image_Odistrib,axiom,
% 201.01/201.05 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_split__comp,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__comp_H,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 201.01/201.05 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 201.01/201.05 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Oempty,axiom,
% 201.01/201.05 ! [V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Oeq__fold,axiom,
% 201.01/201.05 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__image_Oeq__fold,axiom,
% 201.01/201.05 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Oinsert,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Ounion__inter,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding_Oinsert__remove,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__reindex__nonzero,axiom,
% 201.01/201.05 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.05 => ! [B_y] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 201.01/201.05 => ( B_x != B_y
% 201.01/201.05 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 201.01/201.05 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Ounion__idem,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 201.01/201.05 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Oidem__comp,axiom,
% 201.01/201.05 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_folding__idem_Oinsert__idem,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 201.01/201.05 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_strong__setprod__reindex__cong,axiom,
% 201.01/201.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => 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) )
% 201.01/201.05 => 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) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Eps__split,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wfI__pf,axiom,
% 201.01/201.05 ! [V_R_2,T_b] :
% 201.01/201.05 ( ! [B_A] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 201.01/201.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_tfl__some,axiom,
% 201.01/201.05 ! [T_b,B_P] :
% 201.01/201.05 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 201.01/201.05 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_someI,axiom,
% 201.01/201.05 ! [T_b,V_x_2,V_P_2] :
% 201.01/201.05 ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_some__sym__eq__trivial,axiom,
% 201.01/201.05 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_some__eq__trivial,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_some__eq__ex,axiom,
% 201.01/201.05 ! [T_b,V_P_2] :
% 201.01/201.05 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 201.01/201.05 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_someI__ex,axiom,
% 201.01/201.05 ! [T_b,V_P_2] :
% 201.01/201.05 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_exE__some,axiom,
% 201.01/201.05 ! [T_b,V_c_2,V_P_2] :
% 201.01/201.05 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.05 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 201.01/201.05 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_split__paired__Eps,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Eps__split__eq,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Sigma__mono,axiom,
% 201.01/201.05 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => 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))) )
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_not__acc__down,axiom,
% 201.01/201.05 ! [V_R_2,V_x_2,T_b] :
% 201.01/201.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 201.01/201.05 => ~ ! [B_z] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acc_OaccI,axiom,
% 201.01/201.05 ! [V_r_2,V_x_2,T_b] :
% 201.01/201.05 ( ! [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_max__ext_Osimps,axiom,
% 201.01/201.05 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.01/201.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.01/201.05 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.05 & ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.01/201.05 => ? [B_xa] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.01/201.05 & 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)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 201.01/201.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 201.01/201.05 => 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Max__eqI,axiom,
% 201.01/201.05 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.05 ( class_Orderings_Olinorder(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => ( ! [B_y] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__no__infinite__down__chainE,axiom,
% 201.01/201.05 ! [V_f_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => ~ ! [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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_iterate_Osimps,axiom,
% 201.01/201.05 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 201.01/201.05 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.05 => 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) )
% 201.01/201.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__reindex__cong,axiom,
% 201.01/201.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 201.01/201.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 201.01/201.05 => ( ! [B_a] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.01/201.05 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 201.01/201.05 => 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) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_scomp__scomp,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_scomp__Pair,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Pair__scomp,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_scomp__apply,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_scomp__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_scomp__unfold,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_setsum__ivl__cong,axiom,
% 201.01/201.05 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 201.01/201.05 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.05 & class_Orderings_Oord(T_b) )
% 201.01/201.05 => ( V_a_2 = V_c_2
% 201.01/201.05 => ( V_b_2 = V_d_2
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 201.01/201.05 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 201.01/201.05 => 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)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_less__eq,axiom,
% 201.01/201.05 ! [V_n_2,V_m_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__eq__minimal,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 <=> ! [B_Q] :
% 201.01/201.05 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 201.01/201.05 => ? [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 201.01/201.05 & ! [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__trancl,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_less__than__def,axiom,
% 201.01/201.05 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acyclic__def,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.05 <=> ! [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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl_Or__into__trancl,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__subset__Field2,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__Int__subset,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_r__into__trancl_H,axiom,
% 201.01/201.05 ! [V_r_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__empty,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__domain,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__range,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__trancl,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.01/201.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__trans,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__into__trancl2,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_r__r__into__trancl,axiom,
% 201.01/201.05 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__unfold,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__subset__Sigma,axiom,
% 201.01/201.05 ! [V_A_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__insert,axiom,
% 201.01/201.05 ! [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)))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reflcl__set__eq,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acyclicI,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( ! [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)))
% 201.01/201.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_r__into__rtrancl,axiom,
% 201.01/201.05 ! [V_r_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_IdI,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__into__rtrancl,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__unfold__right,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__unfold__left,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__reflcl,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_reflcl__trancl,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__rtrancl__absorb,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__trancl__absorb,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__rtrancl,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__rtrancl,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__rtrancl,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__trans,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__idemp,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__r__diff__Id,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__reflcl__absorb,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__Un__rtrancl,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__reflcl,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__Un__subset,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__subset,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__subset__rtrancl,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__closed__trancl,axiom,
% 201.01/201.05 ! [V_X_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__rtrancl__UnI,axiom,
% 201.01/201.05 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 201.01/201.05 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.01/201.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_r__comp__rtrancl__eq,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__idemp__self__comp,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__Int__subset,axiom,
% 201.01/201.05 ! [V_r_2,V_s_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__unfold,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__empty,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Id__O__R,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_R__O__Id,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__Id,axiom,
% 201.01/201.05 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pair__in__Id__conv,axiom,
% 201.01/201.05 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> V_a_2 = V_b_2 ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__trancl__trancl,axiom,
% 201.01/201.05 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__rtrancl__trancl,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__into__trancl1,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtranclD,axiom,
% 201.01/201.05 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( V_a_2 = V_b_2
% 201.01/201.05 | ( V_a_2 != V_b_2
% 201.01/201.05 & 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__into__trancl2,axiom,
% 201.01/201.05 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__eq__or__trancl,axiom,
% 201.01/201.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( V_x_2 = V_y_2
% 201.01/201.05 | ( V_x_2 != V_y_2
% 201.01/201.05 & 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__Id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__Id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__Id,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pair__leq__def,axiom,
% 201.01/201.05 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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Not__Domain__rtrancl,axiom,
% 201.01/201.05 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 201.01/201.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acc__downwards,axiom,
% 201.01/201.05 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acc__downwards__aux,axiom,
% 201.01/201.05 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__insert,axiom,
% 201.01/201.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 201.01/201.05 & ~ 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acyclic__insert,axiom,
% 201.01/201.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.05 & ~ 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__reflcl,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Id__def,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_irrefl__diff__Id,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pred__nat__trancl__eq__le,axiom,
% 201.01/201.05 ! [V_n_2,V_m_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__subset__Sigma__aux,axiom,
% 201.01/201.05 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => ( V_a_2 = V_b_2
% 201.01/201.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_irrefl__tranclI,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ~ 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_sequence__trans,axiom,
% 201.01/201.05 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 201.01/201.05 ( ! [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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_total__on__diff__Id,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__converse,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__Id,axiom,
% 201.01/201.05 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_acyclic__converse,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__converse,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.05 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__inv__image,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Field__converse,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__converse,axiom,
% 201.01/201.05 ! [V_r_2,T_c,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 201.01/201.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_total__on__converse,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__converse,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__Id__on,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__Int,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__Un,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__rel__comp,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__UNION,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converseD,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converseI,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__iff,axiom,
% 201.01/201.05 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__INTER,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__converse,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__converse__trancl,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_equiv__comp__eq,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.05 => 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 ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__converse,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Domain__converse,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Range__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_total__on__empty,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__converseI,axiom,
% 201.01/201.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__converseD,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__converseI,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__converseD,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__subset__eq,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_refl__on__comp__subset,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__equivI,axiom,
% 201.01/201.05 ! [V_A_2,V_r_2,T_b] :
% 201.01/201.05 ( 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
% 201.01/201.05 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 201.01/201.05 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__acyclic__wf__converse,axiom,
% 201.01/201.05 ! [V_r_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 201.01/201.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_total__on__def,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 <=> ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => ! [B_xa] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 201.01/201.05 => ( B_x != B_xa
% 201.01/201.05 => ( 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))
% 201.01/201.05 | 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)) ) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converse__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__INT__eq,axiom,
% 201.01/201.05 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 201.01/201.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 201.01/201.05 ! [V_R_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__Id,axiom,
% 201.01/201.05 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__1,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__rel__pow,axiom,
% 201.01/201.05 ! [V_n_2,V_R_2,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__commute,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_comp__funpow,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__rel__comp,axiom,
% 201.01/201.05 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.01/201.05 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_wf__exp,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__subset,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 201.01/201.05 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow__swap1,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow__mult,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__imp__rtrancl,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__power,axiom,
% 201.01/201.05 ! [V_R_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 201.01/201.05 <=> ? [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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__Id__on,axiom,
% 201.01/201.05 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_relpow_Osimps_I2_J,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__add,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_relpow_Osimps_I1_J,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__0__I,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__0__E,axiom,
% 201.01/201.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => V_x_2 = V_y_2 ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__Suc__I2,axiom,
% 201.01/201.05 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__Suc__I,axiom,
% 201.01/201.05 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow_Osimps_I2_J,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow__add,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__def,axiom,
% 201.01/201.05 ! [V_r_2,T_c,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.01/201.05 <=> ! [B_x,B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ! [B_z] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => B_y = B_z ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valuedD,axiom,
% 201.01/201.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ( 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))
% 201.01/201.05 => V_y_2 = V_z_2 ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow_Osimps_I1_J,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_trancl__power,axiom,
% 201.01/201.05 ! [V_R_2,V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 201.01/201.05 <=> ? [B_n] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 201.01/201.05 & 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_single__valued__confluent,axiom,
% 201.01/201.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 | 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))) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Image__Int__eq,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 201.01/201.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_funpow__code__def,axiom,
% 201.01/201.05 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__E,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => V_x_2 != V_z_2 )
% 201.01/201.05 => ~ ! [B_y,B_m] :
% 201.01/201.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ~ 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)) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__E2,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => V_x_2 != V_z_2 )
% 201.01/201.05 => ~ ! [B_y,B_m] :
% 201.01/201.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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))) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__Un__separatorE,axiom,
% 201.01/201.05 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ! [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => B_x = B_y ) )
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 201.01/201.05 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ! [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => B_y = B_x ) )
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__Suc__D2,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ? [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 & 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__Suc__E,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_y] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__pow__Suc__E2,axiom,
% 201.01/201.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_y] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ~ 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_tranclD,axiom,
% 201.01/201.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ? [B_z] :
% 201.01/201.05 ( 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))
% 201.01/201.05 & 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_tranclD2,axiom,
% 201.01/201.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ? [B_z] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 & 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_IdE,axiom,
% 201.01/201.05 ! [V_p_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 201.01/201.05 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_transfer__nat__int__set__cong,axiom,
% 201.01/201.05 ! [V_P_H_2,V_P_2] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 201.01/201.05 => ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.05 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Int__Collect__mono,axiom,
% 201.01/201.05 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.05 => ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.05 => ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.05 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 201.01/201.05 => 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)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rel__compE,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_x,B_y,B_z] :
% 201.01/201.05 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_converseE,axiom,
% 201.01/201.05 ! [V_r_2,V_yx_2,T_c,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_x,B_y] :
% 201.01/201.05 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 201.01/201.05 => ~ 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oof__frac__def,axiom,
% 201.01/201.05 ! [V_q,T_a,T_b] :
% 201.01/201.05 ( ( class_Rings_Oinverse(T_b)
% 201.01/201.05 & class_Rings_Oring__1(T_b) )
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oless__frac__def,axiom,
% 201.01/201.05 ! [V_r_2,V_q_2,T_b] :
% 201.01/201.05 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 201.01/201.05 ! [V_r_2,V_q_2,T_b] :
% 201.01/201.05 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Odenom__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Onum__def,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_internal__split__def,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_bool_Osize_I1_J,axiom,
% 201.01/201.05 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_internal__split__conv,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_bool_Osize_I2_J,axiom,
% 201.01/201.05 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__less__ub,axiom,
% 201.01/201.05 ! [V_u_2,V_f_2] :
% 201.01/201.05 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lenlex__def,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_neq__if__length__neq,axiom,
% 201.01/201.05 ! [V_ys,V_xs,T_a] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => V_xs != V_ys ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexn__length,axiom,
% 201.01/201.05 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 201.01/201.05 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lenlex__conv,axiom,
% 201.01/201.05 ! [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)))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__sublist,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexn_Osimps_I2_J,axiom,
% 201.01/201.05 ! [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)))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_impossible__Cons,axiom,
% 201.01/201.05 ! [V_x,V_ys,V_xs,T_a] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list_Oinject,axiom,
% 201.01/201.05 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)
% 201.01/201.05 <=> ( V_a_2 = V_a_H_2
% 201.01/201.05 & V_list_2 = V_list_H_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_not__Cons__self2,axiom,
% 201.01/201.05 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 201.01/201.05
% 201.01/201.05 fof(fact_not__Cons__self,axiom,
% 201.01/201.05 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list_Osize_I4_J,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Cons__in__lex,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( ( 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))
% 201.01/201.05 & 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) )
% 201.01/201.05 | ( V_x_2 = V_y_2
% 201.01/201.05 & 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__Cons__def,axiom,
% 201.01/201.05 ! [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)))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_pick_Osimps,axiom,
% 201.01/201.05 ! [V_xs,V_x,T_a,V_i] :
% 201.01/201.05 ( ( 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)))
% 201.01/201.05 => 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) )
% 201.01/201.05 & ( ~ 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_select__weight__cons__zero,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexord__cons__cons,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( 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))
% 201.01/201.05 | ( V_a_2 = V_b_2
% 201.01/201.05 & 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexord__lex,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( 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)))
% 201.01/201.05 & 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => 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)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list_Osize_I2_J,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Cons__acc__listrel1I,axiom,
% 201.01/201.05 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => 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)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__converse,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1I2,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 201.01/201.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__eq__len,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__listrel1__converse,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 <=> 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1I1,axiom,
% 201.01/201.05 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Cons__listrel1__Cons,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( ( 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))
% 201.01/201.05 & V_xs_2 = V_ys_2 )
% 201.01/201.05 | ( V_x_2 = V_y_2
% 201.01/201.05 & 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__Cons,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexord__irreflexive,axiom,
% 201.01/201.05 ! [V_y_2,V_r_2,T_b] :
% 201.01/201.05 ( ! [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))
% 201.01/201.05 => ~ 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__rtrancl__refl,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__mono,axiom,
% 201.01/201.05 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__eq__len,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__rtrancl__trans,axiom,
% 201.01/201.05 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( 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))))
% 201.01/201.05 => 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)))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__subset__listrel,axiom,
% 201.01/201.05 ! [V_r_H_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel_OCons,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrelp__listrel__eq,axiom,
% 201.01/201.05 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( 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)
% 201.01/201.05 <=> 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__Cons2,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_x,B_xs] :
% 201.01/201.05 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrelp_Oequations_I2_J,axiom,
% 201.01/201.05 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 201.01/201.05 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrelp_OCons,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.01/201.05 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__Cons1,axiom,
% 201.01/201.05 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ~ ! [B_y,B_ys] :
% 201.01/201.05 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 201.01/201.05 => ( 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))
% 201.01/201.05 => ~ 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))) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__subset,axiom,
% 201.01/201.05 ! [V_A_2,V_r_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lists__UNIV,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lists__mono,axiom,
% 201.01/201.05 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_equiv__listrel,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__refl__on,axiom,
% 201.01/201.05 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Cons__in__lists__iff,axiom,
% 201.01/201.05 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lists__accD,axiom,
% 201.01/201.05 ! [V_r_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lists__accI,axiom,
% 201.01/201.05 ! [V_r_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__iff__nth,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( 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)
% 201.01/201.05 & ! [B_n] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexord__linear,axiom,
% 201.01/201.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.01/201.05 ( ! [B_a,B_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 | B_a = B_b
% 201.01/201.05 | 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)) )
% 201.01/201.05 => ( 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)))
% 201.01/201.05 | V_x_2 = V_y_2
% 201.01/201.05 | 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_infinite__UNIV__listI,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__eq__iff__nth__eq,axiom,
% 201.01/201.05 ! [T_b,V_ys_2,V_xs_2] :
% 201.01/201.05 ( V_xs_2 = V_ys_2
% 201.01/201.05 <=> ( 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)
% 201.01/201.05 & ! [B_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__Cons__Suc,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__Cons__0,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth_Osimps,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__Cons_H,axiom,
% 201.01/201.05 ! [V_xs,V_x,T_a,V_n] :
% 201.01/201.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 201.01/201.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__Cons__number__of,axiom,
% 201.01/201.05 ! [V_xs,V_x,T_a,V_v] :
% 201.01/201.05 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => 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 )
% 201.01/201.05 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lexord__take__index__conv,axiom,
% 201.01/201.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( ( 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)))
% 201.01/201.05 & 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 )
% 201.01/201.05 | ? [B_i] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 201.01/201.05 & 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__sublist,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__set,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__subset__Cons,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_take__all,axiom,
% 201.01/201.05 ! [V_n,V_xs,T_a] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__take__subset__set__take,axiom,
% 201.01/201.05 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__take__subset,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__sublist__subset,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__take,axiom,
% 201.01/201.05 ! [V_xs,T_a,V_n,V_i] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__ConsD,axiom,
% 201.01/201.05 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ( V_y_2 = V_x_2
% 201.01/201.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__set__sublistD,axiom,
% 201.01/201.05 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__set__takeD,axiom,
% 201.01/201.05 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_notin__set__sublistI,axiom,
% 201.01/201.05 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => ~ 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_take__Suc__Cons,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__take,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_take__take,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_sublist__upt__eq__take,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_card__length,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_all__set__conv__all__nth,axiom,
% 201.01/201.05 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.05 <=> ! [B_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__size__estimation,axiom,
% 201.01/201.05 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__size__estimation_H,axiom,
% 201.01/201.05 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 201.01/201.05 => 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))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__lists__conv__set,axiom,
% 201.01/201.05 ! [V_A_2,V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 201.01/201.05 <=> ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__pos__if__in__set,axiom,
% 201.01/201.05 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__mem,axiom,
% 201.01/201.05 ! [V_xs_2,T_b,V_n_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__set__conv__nth,axiom,
% 201.01/201.05 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 <=> ? [B_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_lists__eq__set,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__conv__nth,axiom,
% 201.01/201.05 ! [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))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__lists__length__eq,axiom,
% 201.01/201.05 ! [V_n_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_finite__lists__length__le,axiom,
% 201.01/201.05 ! [V_n_2,V_A_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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))))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel__iff__zip,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ( 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)
% 201.01/201.05 & ! [B_x] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => 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)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__zip,axiom,
% 201.01/201.05 ! [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)))))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_take__zip,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__zip,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_zip__Cons__Cons,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__eq__iff__zip__eq,axiom,
% 201.01/201.05 ! [T_b,V_ys_2,V_xs_2] :
% 201.01/201.05 ( V_xs_2 = V_ys_2
% 201.01/201.05 <=> ( 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)
% 201.01/201.05 & ! [B_x] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_zip__same,axiom,
% 201.01/201.05 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 & V_a_2 = V_b_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__zip__leftD,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__zip__rightD,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__set__zipE,axiom,
% 201.01/201.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 201.01/201.05 ( 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))))
% 201.01/201.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__zip,axiom,
% 201.01/201.05 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_greaterThanLessThan__upto,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listsum__setsum__nth,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_atLeastAtMost__upto,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__upto,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 201.01/201.05 ! [V_ns_2] :
% 201.01/201.05 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.05 <=> ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.01/201.05 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listsum__simps_I2_J,axiom,
% 201.01/201.05 ! [V_xs,V_x,T_a] :
% 201.01/201.05 ( class_Groups_Omonoid__add(T_a)
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_elem__le__listsum__nat,axiom,
% 201.01/201.05 ! [V_ns,V_k] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_atLeastLessThan__upto,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_greaterThanAtMost__upto,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nat__list__def,axiom,
% 201.01/201.05 ! [V_l_2] :
% 201.01/201.05 ( c_List_Onat__list(V_l_2)
% 201.01/201.05 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__size__pointwise,axiom,
% 201.01/201.05 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 201.01/201.05 ( ! [B_x] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.01/201.05 => 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))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listsum__update__nat,axiom,
% 201.01/201.05 ! [V_n,V_ns,V_k] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_butlast__take,axiom,
% 201.01/201.05 ! [V_xs,T_a,V_n] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__beyond,axiom,
% 201.01/201.05 ! [V_x,V_i,V_xs,T_a] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__id,axiom,
% 201.01/201.05 ! [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 ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__list__update__neq,axiom,
% 201.01/201.05 ! [V_x,V_xs,T_a,V_j,V_i] :
% 201.01/201.05 ( V_i != V_j
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_butlast__list__update,axiom,
% 201.01/201.05 ! [V_x,V_xs,T_a,V_k] :
% 201.01/201.05 ( ( 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))
% 201.01/201.05 => 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) )
% 201.01/201.05 & ( 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))
% 201.01/201.05 => 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) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__list__update,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_zip__update,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_update__zip,axiom,
% 201.01/201.05 ! [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))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__swap,axiom,
% 201.01/201.05 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 201.01/201.05 ( V_i != V_i_H
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__overwrite,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update_Osimps_I2_J,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__code_I3_J,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__code_I2_J,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_in__set__butlastD,axiom,
% 201.01/201.05 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 201.01/201.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__update__subsetI,axiom,
% 201.01/201.05 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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))
% 201.01/201.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__update__subset__insert,axiom,
% 201.01/201.05 ! [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)))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__list__update__eq,axiom,
% 201.01/201.05 ! [V_x,V_xs,T_a,V_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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 ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_list__update__same__conv,axiom,
% 201.01/201.05 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 201.01/201.05 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__list__update,axiom,
% 201.01/201.05 ! [V_x,V_j,V_xs,T_a,V_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( ( V_i = V_j
% 201.01/201.05 => 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 )
% 201.01/201.05 & ( V_i != V_j
% 201.01/201.05 => 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) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_take__butlast,axiom,
% 201.01/201.05 ! [V_xs,T_a,V_n] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_length__butlast,axiom,
% 201.01/201.05 ! [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)) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_set__update__memI,axiom,
% 201.01/201.05 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => 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)))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_butlast__conv__take,axiom,
% 201.01/201.05 ! [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) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_listrel1__iff__update,axiom,
% 201.01/201.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 <=> ? [B_y,B_n] :
% 201.01/201.05 ( 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))
% 201.01/201.05 & 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)))
% 201.01/201.05 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__list__update,axiom,
% 201.01/201.05 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 => ( ~ 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))))))
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__upto,axiom,
% 201.01/201.05 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__take,axiom,
% 201.01/201.05 ! [V_i,V_xs,T_a] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__sublistI,axiom,
% 201.01/201.05 ! [V_I_2,V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__zipI2,axiom,
% 201.01/201.05 ! [V_xs,T_b,V_ys,T_a] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__zipI1,axiom,
% 201.01/201.05 ! [V_ys,T_b,V_xs,T_a] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct_Osimps_I2_J,axiom,
% 201.01/201.05 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 201.01/201.05 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.05 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_card__distinct,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] :
% 201.01/201.05 ( 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)
% 201.01/201.05 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__card,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 => 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) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_nth__eq__iff__index__eq,axiom,
% 201.01/201.05 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( 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)))
% 201.01/201.05 => ( 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)
% 201.01/201.05 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__conv__nth,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] :
% 201.01/201.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 <=> ! [B_i] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ! [B_j] :
% 201.01/201.05 ( 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)))
% 201.01/201.05 => ( B_i != B_j
% 201.01/201.05 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 201.01/201.05 ! [V_xs_2,T_b] :
% 201.01/201.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.05 => 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)) ) ) ).
% 201.01/201.05
% 201.01/201.05 fof(fact_Nitpick_Ocard_H__def,axiom,
% 201.01/201.05 ! [V_A_2,T_b] :
% 201.01/201.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => 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)))) )
% 201.01/201.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.05 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.05
% 201.01/201.06 fof(fact_nth__take__lemma,axiom,
% 201.01/201.06 ! [V_ys,V_xs,T_a,V_k] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => ( ! [B_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 201.01/201.06 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 201.01/201.06 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__remove1__eq,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Cons__number__of,axiom,
% 201.01/201.06 ! [V_xs,V_x,T_a,V_v] :
% 201.01/201.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lists_ONil,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel__Nil1,axiom,
% 201.01/201.06 ! [V_r_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel__Nil2,axiom,
% 201.01/201.06 ! [V_r_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__butlast,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__remove1,axiom,
% 201.01/201.06 ! [V_x,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_butlast_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_butlast_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_x,T_a,V_xs] :
% 201.01/201.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 201.01/201.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_y,V_x] :
% 201.01/201.06 ( ( V_x = V_y
% 201.01/201.06 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 201.01/201.06 & ( V_x != V_y
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osimps_I3_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upto__empty,axiom,
% 201.01/201.06 ! [V_i,V_j] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 201.01/201.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Nil,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__0,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__eq__Nil,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__nil,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1_Osimps_I1_J,axiom,
% 201.01/201.06 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__commute,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrelp_ONil,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrelp_Oequations_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__Nil,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__simps_I1_J,axiom,
% 201.01/201.06 ! [T_a] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_a)
% 201.01/201.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osize_I3_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__0__conv,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__empty,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__empty2,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update__nonempty,axiom,
% 201.01/201.06 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update__code_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osize_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__remove1,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 201.01/201.06 ( V_a_2 != V_b_2
% 201.01/201.06 => ( 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))))
% 201.01/201.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_notin__set__remove1,axiom,
% 201.01/201.06 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ~ 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__idem,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__empty,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__remove1__subset,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__greater__0__conv,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__1__Cons,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_not__Nil__listrel1,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_not__listrel1__Nil,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel_ONil,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__Nil__right,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil__notin__lex,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil2__notin__lex,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upto_Osimps,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 201.01/201.06 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__singleton,axiom,
% 201.01/201.06 ! [V_x_2,T_b,V_A_2] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lists__empty,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Cons_H,axiom,
% 201.01/201.06 ! [V_xs,V_x,T_a,V_n] :
% 201.01/201.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upto__rec__number__of,axiom,
% 201.01/201.06 ! [V_n,V_m] :
% 201.01/201.06 ( ( 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)))
% 201.01/201.06 => 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))) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel__Nil,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__Cons__sing__Nil,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__remove1,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upto_Opsimps,axiom,
% 201.01/201.06 ! [V_j_2,V_i_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 201.01/201.06 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select,axiom,
% 201.01/201.06 ! [V_s_2,T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listset_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__Cons1,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osimps_I5_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list_Osimps_I4_J,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listset_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__Cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set__remove,axiom,
% 201.01/201.06 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upto_Opinduct,axiom,
% 201.01/201.06 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ! [B_i,B_j] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 201.01/201.06 => 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)) )
% 201.01/201.06 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 201.01/201.06 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set__empty,axiom,
% 201.01/201.06 ! [T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_anamorph_Osimps,axiom,
% 201.01/201.06 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 201.01/201.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__Cons,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append1__eq__conv,axiom,
% 201.01/201.06 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> ( V_xs_2 = V_ys_2
% 201.01/201.06 & V_x_2 = V_y_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Cons__eq__append__conv,axiom,
% 201.01/201.06 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 201.01/201.06 | ? [B_ys_H] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 201.01/201.06 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__eq__Cons__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 201.01/201.06 | ? [B_ys_H] :
% 201.01/201.06 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 201.01/201.06 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Cons__eq__appendI,axiom,
% 201.01/201.06 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 201.01/201.06 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 201.01/201.06 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__Cons,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__in__lists__conv,axiom,
% 201.01/201.06 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 201.01/201.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__assoc,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__eq__append__conv2,axiom,
% 201.01/201.06 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 201.01/201.06 <=> ? [B_us] :
% 201.01/201.06 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 201.01/201.06 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 201.01/201.06 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 201.01/201.06 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_same__append__eq,axiom,
% 201.01/201.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> V_ys_2 = V_zs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__same__eq,axiom,
% 201.01/201.06 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> V_ys_2 = V_zs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__eq__appendI,axiom,
% 201.01/201.06 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 201.01/201.06 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 201.01/201.06 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__append,axiom,
% 201.01/201.06 ! [V_ys,V_xs,T_a] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_a)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__append,axiom,
% 201.01/201.06 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( 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)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_eq__Nil__appendI,axiom,
% 201.01/201.06 ! [T_a,V_ys,V_xs] :
% 201.01/201.06 ( V_xs = V_ys
% 201.01/201.06 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__self__conv2,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__self__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 201.01/201.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__is__Nil__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_self__append__conv2,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_ys_2] :
% 201.01/201.06 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_self__append__conv,axiom,
% 201.01/201.06 ! [V_ys_2,T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.01/201.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__Nil2,axiom,
% 201.01/201.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil__is__append__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 201.01/201.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__Nil,axiom,
% 201.01/201.06 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 201.01/201.06
% 201.01/201.06 fof(fact_butlast__append,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_ys] :
% 201.01/201.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 201.01/201.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__append__length,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__append__length__plus,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update__append1,axiom,
% 201.01/201.06 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update__length,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__append,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__butlast__appendI,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 201.01/201.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 201.01/201.06 => 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))))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_butlast__snoc,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__listrel1I,axiom,
% 201.01/201.06 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( ( ( 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)))
% 201.01/201.06 & V_us_2 = V_vs_2 )
% 201.01/201.06 | ( V_xs_2 = V_ys_2
% 201.01/201.06 & 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))) ) )
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__append__leftI,axiom,
% 201.01/201.06 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__append,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 201.01/201.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 201.01/201.06 & 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__append,axiom,
% 201.01/201.06 ! [V_ys,V_xs,T_a,V_n] :
% 201.01/201.06 ( ( 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)))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__update__append,axiom,
% 201.01/201.06 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 201.01/201.06 ( ( 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)))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__append,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel1I,axiom,
% 201.01/201.06 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => ( 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))
% 201.01/201.06 => ( 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))
% 201.01/201.06 => 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))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__append__left__rightI,axiom,
% 201.01/201.06 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Suc__conv__app__nth,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 201.01/201.06 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> ( ( 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)))
% 201.01/201.06 & V_x_2 = V_y_2 )
% 201.01/201.06 | ( V_xs_2 = V_ys_2
% 201.01/201.06 & 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)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listrel1E,axiom,
% 201.01/201.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ~ ! [B_x,B_y] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => ! [B_us,B_vs] :
% 201.01/201.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 201.01/201.06 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__append__leftD,axiom,
% 201.01/201.06 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ! [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))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate1__def,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upd__conv__take__nth__drop,axiom,
% 201.01/201.06 ! [V_a,V_xs,T_a,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__take__drop__id,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Suc__Cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__1__Cons,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__via__drop,axiom,
% 201.01/201.06 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 201.01/201.06 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct1__rotate,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 201.01/201.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__drop,axiom,
% 201.01/201.06 ! [V_i,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__butlast,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_butlast__drop,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__take,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__drop,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__0,axiom,
% 201.01/201.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__drop,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__zip,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__rotate1,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__drop,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__rotate1,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__dropD,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__drop__subset,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate1__is__Nil__conv,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Nil,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__drop__subset__set__drop,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__all,axiom,
% 201.01/201.06 ! [V_n,V_xs,T_a] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__eq__Nil,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__eq__conv__conj,axiom,
% 201.01/201.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 201.01/201.06 <=> ( 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)
% 201.01/201.06 & 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Cons_H,axiom,
% 201.01/201.06 ! [V_xs,V_x,T_a,V_n] :
% 201.01/201.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__drop,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_i,V_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__eq__append__conv__if,axiom,
% 201.01/201.06 ! [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] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ( ( 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)))
% 201.01/201.06 => ( 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)
% 201.01/201.06 & 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) ) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => ( 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
% 201.01/201.06 & 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 ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__drop_H,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__simps,axiom,
% 201.01/201.06 ! [V_xs,V_x,T_b,T_a] :
% 201.01/201.06 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 201.01/201.06 & 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Cons__number__of,axiom,
% 201.01/201.06 ! [V_xs,V_x,T_a,V_v] :
% 201.01/201.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__add,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_j,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate1__length01,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__append2,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__append1,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_id__take__nth__drop,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__hd__drop,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__drop__conv__nth,axiom,
% 201.01/201.06 ! [V_n,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd_Osimps,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__append,axiom,
% 201.01/201.06 ! [V_ys,T_a,V_xs] :
% 201.01/201.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__append2,axiom,
% 201.01/201.06 ! [V_ys,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__in__set,axiom,
% 201.01/201.06 ! [T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__conv__nth,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate1__hd__tl,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__rotate__conv__nth,axiom,
% 201.01/201.06 ! [V_n,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl__drop,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__tl,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__rotate,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 201.01/201.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__tl,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__rotate,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate0,axiom,
% 201.01/201.06 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__add,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__rotate,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__rotate,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__is__Nil__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate1__rotate__swap,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__def,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl__append2,axiom,
% 201.01/201.06 ! [V_ys,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__tl,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__conv__mod,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__Suc,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__Suc,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl__append,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__id,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_n] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__length01,axiom,
% 201.01/201.06 ! [V_n,V_xs,T_a] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__tl,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_tl__take,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__Suc,axiom,
% 201.01/201.06 ! [V_n,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__drop__take,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_fold1__set,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 201.01/201.06 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__append__rightI,axiom,
% 201.01/201.06 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 201.01/201.06 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__Nil,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_start__le__sum,axiom,
% 201.01/201.06 ! [V_ns_2,V_n_2,V_m_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__absorb0,axiom,
% 201.01/201.06 ! [V_zs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__assoc,axiom,
% 201.01/201.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Groups_Osemigroup__add(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__Cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__append,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__foldl,axiom,
% 201.01/201.06 ! [T_b] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sum__eq__0__conv,axiom,
% 201.01/201.06 ! [V_ns_2,V_m_2] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.01/201.06 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 201.01/201.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Sup__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Inf__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Sup__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Lattices_Olattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Inf__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Lattices_Olattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Min__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Max__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_SUPR__set__fold,axiom,
% 201.01/201.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 201.01/201.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_INFI__set__fold,axiom,
% 201.01/201.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 201.01/201.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_elem__le__sum,axiom,
% 201.01/201.06 ! [V_ns_2,V_n_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set__insert,axiom,
% 201.01/201.06 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => 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)))))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lexord__Nil__left,axiom,
% 201.01/201.06 ! [V_r_2,V_y_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__key_Osimps_I1_J,axiom,
% 201.01/201.06 ! [V_x_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__key_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( ( 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)))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => 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)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__left__comm,axiom,
% 201.01/201.06 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_fun__left__comm__insort,axiom,
% 201.01/201.06 ! [T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__key__left__comm,axiom,
% 201.01/201.06 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__not__Nil,axiom,
% 201.01/201.06 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__insert__insort__key,axiom,
% 201.01/201.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( ~ 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))))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__insert__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__insort__insert,axiom,
% 201.01/201.06 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__insert__triv,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__insort__insert,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__insert__key__triv,axiom,
% 201.01/201.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( 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))))
% 201.01/201.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__list__update,axiom,
% 201.01/201.06 ! [V_x,V_k,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => ( ( 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))
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 201.01/201.06 & ( 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))
% 201.01/201.06 => 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) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__conv__nth,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__ConsL,axiom,
% 201.01/201.06 ! [V_x,T_a,V_xs] :
% 201.01/201.06 ( V_xs = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__ConsR,axiom,
% 201.01/201.06 ! [V_x,T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last_Osimps,axiom,
% 201.01/201.06 ! [V_x,T_a,V_xs] :
% 201.01/201.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 201.01/201.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__appendL,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_ys] :
% 201.01/201.06 ( V_ys = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__appendR,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_ys] :
% 201.01/201.06 ( V_ys != c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__append,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_ys] :
% 201.01/201.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 201.01/201.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__in__set,axiom,
% 201.01/201.06 ! [T_b,V_as_2] :
% 201.01/201.06 ( V_as_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__snoc,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__drop,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_snoc__eq__iff__butlast,axiom,
% 201.01/201.06 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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
% 201.01/201.06 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 201.01/201.06 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__butlast__last__id,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => 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 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lists_Osimps,axiom,
% 201.01/201.06 ! [V_A_2,V_a_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 201.01/201.06 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 | ? [B_a,B_l] :
% 201.01/201.06 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 201.01/201.06 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 201.01/201.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select__weigth__select,axiom,
% 201.01/201.06 ! [T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__mapI,axiom,
% 201.01/201.06 ! [V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__map,axiom,
% 201.01/201.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Omap_Oid,axiom,
% 201.01/201.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__tl,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__map2,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__zip__map2,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__zip__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__map1,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__map__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__same__conv__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil__is__map__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__is__Nil__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__update,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__eq__conv,axiom,
% 201.01/201.06 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 201.01/201.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__eq__imp__length__eq,axiom,
% 201.01/201.06 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__addf,axiom,
% 201.01/201.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__0,axiom,
% 201.01/201.06 ! [V_xs_2,T_c,T_b] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__const__mult,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 201.01/201.06 ( class_Rings_Osemiring__0(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__mult__const,axiom,
% 201.01/201.06 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Rings_Osemiring__0(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__subtractf,axiom,
% 201.01/201.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__map__eq__map,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.06 => ( 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)
% 201.01/201.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__injective,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 201.01/201.06 => V_xs_2 = V_ys_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__ident,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__butlast,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__map,axiom,
% 201.01/201.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Omap_Oidentity,axiom,
% 201.01/201.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Omap_Ocompositionality,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__comp__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Omap_Ocomp,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__size__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__inj__on,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => V_xs_2 = V_ys_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__on__map__eq__map,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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)
% 201.01/201.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__map,axiom,
% 201.01/201.06 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__fun__upd,axiom,
% 201.01/201.06 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 201.01/201.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__map,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 201.01/201.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 201.01/201.06 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__abs,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_uminus__listsum__map,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Groups_Oab__group__add(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__on__mapI,axiom,
% 201.01/201.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__mapD,axiom,
% 201.01/201.06 ! [V_f_2,T_c,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__map,axiom,
% 201.01/201.06 ! [V_f_2,T_c,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 201.01/201.06 ! [V_f_2,V_xs_2,T_b,T_c] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__triv,axiom,
% 201.01/201.06 ! [V_xs_2,V_r_2,T_c,T_b] :
% 201.01/201.06 ( class_Rings_Osemiring__1(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__map__remove1,axiom,
% 201.01/201.06 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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)))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 201.01/201.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.06 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => 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))))) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_pick__same,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_l_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zero__code__numeral__def,axiom,
% 201.01/201.06 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_times__code__numeral__code,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 201.01/201.06 ! [V_m_2,V_n_2] :
% 201.01/201.06 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 201.01/201.06 <=> V_n_2 = V_m_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 201.01/201.06 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_one__code__numeral__def,axiom,
% 201.01/201.06 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_less__code__numeral__code,axiom,
% 201.01/201.06 ! [V_m_2,V_n_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 201.01/201.06 ! [V_y_2,V_x_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.06 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 201.01/201.06 <=> V_x_2 = V_y_2 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__fst__zip,axiom,
% 201.01/201.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => 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 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__snd__zip,axiom,
% 201.01/201.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => 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 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_number__of__code__numeral__def,axiom,
% 201.01/201.06 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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__map__fst__snd,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_plus__code__numeral__code,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_less__eq__code__numeral__code,axiom,
% 201.01/201.06 ! [V_m_2,V_n_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_subtract__code__numeral__code,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_pick__member,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_i_2] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__eq__conv,axiom,
% 201.01/201.06 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 201.01/201.06 <=> ( 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
% 201.01/201.06 & 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 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__size__conv__listsum,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_code__numeral__not__eq__zero,axiom,
% 201.01/201.06 ! [V_i_2] :
% 201.01/201.06 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.06 <=> 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 201.01/201.06 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 201.01/201.06 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select__weight__member,axiom,
% 201.01/201.06 ! [V_s_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select__weight__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__mono,axiom,
% 201.01/201.06 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.01/201.06 ( ( class_Groups_Omonoid__add(T_c)
% 201.01/201.06 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 201.01/201.06 => 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)))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of__of__nat,axiom,
% 201.01/201.06 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 201.01/201.06
% 201.01/201.06 fof(fact_of__nat__nat__of,axiom,
% 201.01/201.06 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of__inverse,axiom,
% 201.01/201.06 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 201.01/201.06
% 201.01/201.06 fof(fact_code__numeral_Onat__of__inject,axiom,
% 201.01/201.06 ! [V_y_2,V_x_2] :
% 201.01/201.06 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 201.01/201.06 <=> V_x_2 = V_y_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 201.01/201.06 ! [V_l_2,V_k_2] :
% 201.01/201.06 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 201.01/201.06 <=> V_k_2 = V_l_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_times__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_type__definition__code__numeral,axiom,
% 201.01/201.06 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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_less__code__numeral__def,axiom,
% 201.01/201.06 ! [V_m_2,V_n_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 201.01/201.06 <=> 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of__number,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_int__of__def,axiom,
% 201.01/201.06 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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_less__eq__code__numeral__def,axiom,
% 201.01/201.06 ! [V_m_2,V_n_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 201.01/201.06 <=> 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of__code,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nat__of__aux__def,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Suc__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_minus__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_of__nat__inverse,axiom,
% 201.01/201.06 ! [V_y_2] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.06 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_plus__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_div__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_mod__code__numeral__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_code__numeral__decr,axiom,
% 201.01/201.06 ! [V_k] :
% 201.01/201.06 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition__set,axiom,
% 201.01/201.06 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition__P,axiom,
% 201.01/201.06 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lists__IntI,axiom,
% 201.01/201.06 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_lists__Int__eq,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp_ONil,axiom,
% 201.01/201.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp_Oequations_I1_J,axiom,
% 201.01/201.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__listsp__conv__set,axiom,
% 201.01/201.06 ! [V_xs_2,V_A_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp__conj__eq,axiom,
% 201.01/201.06 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 201.01/201.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp__inf__eq,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp__infI,axiom,
% 201.01/201.06 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp_Oequations_I2_J,axiom,
% 201.01/201.06 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 201.01/201.06 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 201.01/201.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_append__in__listsp__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 201.01/201.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 201.01/201.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp__mono,axiom,
% 201.01/201.06 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsp__lists__eq,axiom,
% 201.01/201.06 ! [V_x_2,V_A_2,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_product_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__def,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 <=> ( 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)
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__map1,axiom,
% 201.01/201.06 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__map2,axiom,
% 201.01/201.06 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__dropI,axiom,
% 201.01/201.06 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__appendI,axiom,
% 201.01/201.06 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 201.01/201.06 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__append,axiom,
% 201.01/201.06 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( 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))
% 201.01/201.06 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__Cons,axiom,
% 201.01/201.06 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 201.01/201.06 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__takeI,axiom,
% 201.01/201.06 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__eq,axiom,
% 201.01/201.06 ! [T_b,V_ys_2,V_xs_2] :
% 201.01/201.06 ( V_xs_2 = V_ys_2
% 201.01/201.06 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__lengthD,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__Nil2,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__Nil,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 201.01/201.06 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_product_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__nthD2,axiom,
% 201.01/201.06 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__nthD,axiom,
% 201.01/201.06 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__conv__all__nth,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 <=> ( 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)
% 201.01/201.06 & ! [B_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__update__cong2,axiom,
% 201.01/201.06 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__update__cong,axiom,
% 201.01/201.06 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 201.01/201.06 => 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)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__product,axiom,
% 201.01/201.06 ! [V_ys,T_b,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_product__list__set,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublists__powset,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__sublists,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublists_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublists_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__set__sublists,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__n__lists,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_enum__the__def,axiom,
% 201.01/201.06 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__n__lists,axiom,
% 201.01/201.06 ! [V_n,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_n__lists_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_n__lists__Nil,axiom,
% 201.01/201.06 ! [T_a,V_n] :
% 201.01/201.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => 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))) )
% 201.01/201.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__n__lists,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__n__lists__elem,axiom,
% 201.01/201.06 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2I,axiom,
% 201.01/201.06 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 201.01/201.06 => ( 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)
% 201.01/201.06 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_all__nth__imp__all__set,axiom,
% 201.01/201.06 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( ! [B_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 201.01/201.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__removeAll__inj__on,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__remdups,axiom,
% 201.01/201.06 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__remdups__leq,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__id__iff__distinct,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 201.01/201.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__removeAll,axiom,
% 201.01/201.06 ! [V_x,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__remdups__id,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__remdups,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__remdups__eq,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__remdups,axiom,
% 201.01/201.06 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__eq__nil__right__iff,axiom,
% 201.01/201.06 ! [V_x_2,T_b] :
% 201.01/201.06 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 201.01/201.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll_Osimps_I1_J,axiom,
% 201.01/201.06 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__eq__nil__iff,axiom,
% 201.01/201.06 ! [V_x_2,T_b] :
% 201.01/201.06 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_y,V_x] :
% 201.01/201.06 ( ( V_x = V_y
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_x != V_y
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__map__remdups,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__remdups,axiom,
% 201.01/201.06 ! [V_x,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll__id,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__remove1__removeAll,axiom,
% 201.01/201.06 ! [V_x,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__remdups__card__conv,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__removeAll__inj,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__removeAll,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__remdups__concat,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__conv__foldl,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sort__key__simps_I1_J,axiom,
% 201.01/201.06 ! [V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__conv__concat,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__sort,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__sort,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__sort,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 201.01/201.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil__eq__concat__conv,axiom,
% 201.01/201.06 ! [V_xss_2,T_b] :
% 201.01/201.06 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 201.01/201.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__eq__Nil__conv,axiom,
% 201.01/201.06 ! [V_xss_2,T_b] :
% 201.01/201.06 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 201.01/201.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__concat,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__concat,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__concat,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sort__key__simps_I2_J,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sort__foldl__insort,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__eq__concat__iff,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)) )
% 201.01/201.06 => ( 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)
% 201.01/201.06 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 201.01/201.06 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__injective,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 201.01/201.06 => ( 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)
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)) )
% 201.01/201.06 => V_xs_2 = V_ys_2 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__map__singleton,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_n__lists_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Osimps_I3_J,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__aux__filter__head,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__concat,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__sort,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__filter,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sum__length__filter__compl,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__is__subset,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__id__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__filter__le,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__filter,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remove1__filter__not,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__remove1,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__insort__triv,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition__filter1,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition__filter2,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_partition__filter__conv,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__empty__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__filter__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll__filter__not,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_remdups__filter,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_removeAll__filter__not__eq,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__transpose,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_i_2] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__map__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__filter,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__filter__less,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__minus__filter__out,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__in__sublist,axiom,
% 201.01/201.06 ! [V_s_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__empty,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.01/201.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__filter__conv__card,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__aux__filter__tail,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Opsimps_I3_J,axiom,
% 201.01/201.06 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Opsimps_I2_J,axiom,
% 201.01/201.06 ! [V_xss_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__shift__lemma__Suc,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_select__weigth__drop__zero,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_pick__drop__zero,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose_Opsimps_I1_J,axiom,
% 201.01/201.06 ! [T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__max__length,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__aux__max,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr__conv__foldl,axiom,
% 201.01/201.06 ! [V_a_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Groups_Oab__semigroup__add(T_b)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr__map,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__foldr1__lemma,axiom,
% 201.01/201.06 ! [V_xs_2,V_a_2,T_b] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__foldr1,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__transpose,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__def,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sublist__shift__lemma,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__upt,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_atLeastLessThan__upt,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__Suc__append,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__Suc,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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))) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__add__eq__append,axiom,
% 201.01/201.06 ! [V_k,V_j,V_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__rec,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__conv__Cons,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__conv__Nil,axiom,
% 201.01/201.06 ! [V_i,V_j] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 201.01/201.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__eq__Nil__conv,axiom,
% 201.01/201.06 ! [V_j_2,V_i_2] :
% 201.01/201.06 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 201.01/201.06 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__0,axiom,
% 201.01/201.06 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_take__upt,axiom,
% 201.01/201.06 ! [V_n,V_m,V_i] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set__range,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__upt,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_drop__upt,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__upt,axiom,
% 201.01/201.06 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__upt,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__rec__number__of,axiom,
% 201.01/201.06 ! [V_n,V_m] :
% 201.01/201.06 ( ( 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)))
% 201.01/201.06 => 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))) )
% 201.01/201.06 & ( ~ 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)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_upt__eq__Cons__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 201.01/201.06 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 201.01/201.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 201.01/201.06 & V_i_2 = V_x_2
% 201.01/201.06 & 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 ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__upt,axiom,
% 201.01/201.06 ! [V_j,V_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__Suc__upt,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_atLeastAtMost__upt,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_atLeast__upt,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__upt,axiom,
% 201.01/201.06 ! [V_j,V_k,V_i] :
% 201.01/201.06 ( 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))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_greaterThanAtMost__upt,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_greaterThanLessThan__upt,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_atMost__upto,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__nth,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 201.01/201.06 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 201.01/201.06 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__map__upt,axiom,
% 201.01/201.06 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__rectangle,axiom,
% 201.01/201.06 ! [V_n_2,T_b,V_xs_2] :
% 201.01/201.06 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.01/201.06 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 201.01/201.06 => ( ! [B_i] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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 )
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__key__remove1,axiom,
% 201.01/201.06 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 201.01/201.06 => ( 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
% 201.01/201.06 => 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 ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted_ONil,axiom,
% 201.01/201.06 ! [T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__single,axiom,
% 201.01/201.06 ! [V_x,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__upt,axiom,
% 201.01/201.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__sort,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__insort__insert,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__drop,axiom,
% 201.01/201.06 ! [V_n,V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__upto,axiom,
% 201.01/201.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__take,axiom,
% 201.01/201.06 ! [V_n,V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__remove1,axiom,
% 201.01/201.06 ! [V_a,V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__tl,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__insort,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( 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))
% 201.01/201.06 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__butlast,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted_Oequations_I1_J,axiom,
% 201.01/201.06 ! [T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__many__eq,axiom,
% 201.01/201.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__many,axiom,
% 201.01/201.06 ! [V_zs,V_y,V_x,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 201.01/201.06 => 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))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__remdups,axiom,
% 201.01/201.06 ! [V_l,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__distinct__set__unique,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 201.01/201.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 201.01/201.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__sort__key,axiom,
% 201.01/201.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__insort__insert__key,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__map__remove1,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__insort__key,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__filter,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__map__same,axiom,
% 201.01/201.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__same,axiom,
% 201.01/201.06 ! [V_xs_2,V_g_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__Cons,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.01/201.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__append,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.01/201.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ! [B_xa] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__insort,axiom,
% 201.01/201.06 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 201.01/201.06 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted_Oequations_I2_J,axiom,
% 201.01/201.06 ! [V_a1_2,V_a2_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 201.01/201.06 <=> ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__list__of__set,axiom,
% 201.01/201.06 ! [V_A_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 201.01/201.06 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__remove1,axiom,
% 201.01/201.06 ! [V_xs_2,V_a_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => 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 ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__equals__nth__mono,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 <=> ! [B_j] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ! [B_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 201.01/201.06 => 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))) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__nth__mono,axiom,
% 201.01/201.06 ! [V_j,V_i,V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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))) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_map__sorted__distinct__set__unique,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 201.01/201.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 201.01/201.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__column,axiom,
% 201.01/201.06 ! [V_i_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__nth__transpose__sorted,axiom,
% 201.01/201.06 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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))))
% 201.01/201.06 => ( 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))))
% 201.01/201.06 => 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) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_inj__on__rev,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__rev,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 201.01/201.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev_Osimps_I1_J,axiom,
% 201.01/201.06 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Nil__is__rev__conv,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__is__Nil__conv,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__singleton__conv,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_singleton__rev__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__append,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__concat,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__filter,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__rev,axiom,
% 201.01/201.06 ! [V_ys,T_b,V_xs,T_a] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__rev,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__rev1,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 201.01/201.06 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__rev,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 201.01/201.06 ( 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))
% 201.01/201.06 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__is__rev__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 201.01/201.06 <=> V_xs_2 = V_ys_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__swap,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 201.01/201.06 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__rev__ident,axiom,
% 201.01/201.06 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__rev,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( class_Groups_Ocomm__monoid__add(T_a)
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__rev,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr__foldl,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__foldr,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev_Osimps_I2_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__eq__Cons__iff,axiom,
% 201.01/201.06 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 201.01/201.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 201.01/201.06 <=> 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_last__rev,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__rev,axiom,
% 201.01/201.06 ! [T_a,V_xs] :
% 201.01/201.06 ( V_xs != c_List_Olist_ONil(T_a)
% 201.01/201.06 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__transpose,axiom,
% 201.01/201.06 ! [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)))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__foldl__cons,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__take,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__drop,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rotate__rev,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__nth,axiom,
% 201.01/201.06 ! [V_xs,T_a,V_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_rev__update,axiom,
% 201.01/201.06 ! [V_y,V_xs,T_a,V_k] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__rev__nth__mono,axiom,
% 201.01/201.06 ! [V_j,V_i,V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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))) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldr__max__sorted,axiom,
% 201.01/201.06 ! [V_y_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.01/201.06 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 201.01/201.06 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => 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) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__transpose__sorted,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 201.01/201.06 => 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))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__column__length,axiom,
% 201.01/201.06 ! [V_i_2,V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transpose__transpose,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 201.01/201.06 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__takeWhile,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__takeWhile__le,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_set__takeWhileD,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__eq__all__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__takeWhile__snd,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__takeWhile__fst,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__tail,axiom,
% 201.01/201.06 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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)) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__eq__take,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__takeWhile,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_return__list__def,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__append1,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_nth__length__takeWhile,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ~ 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))))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__nth,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__not__last,axiom,
% 201.01/201.06 ! [T_b,V_xs_2] :
% 201.01/201.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 201.01/201.06 ! [V_ta_2,V_xs_2,V_f_2,T_c,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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_ta_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_ta_2)),V_f_2),V_xs_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 201.01/201.06 ! [V_l] :
% 201.01/201.06 ( c_List_Onat__list(V_l)
% 201.01/201.06 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_embed__list__def,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__neq__rev,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__neq__rev,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__dropWhile__id,axiom,
% 201.01/201.06 ! [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 ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__dropWhile,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__dropWhile__le,axiom,
% 201.01/201.06 ! [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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 201.01/201.06 <=> ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 201.01/201.06 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) )
% 201.01/201.06 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__dropWhile,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_hd__dropWhile,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__map,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__append1,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 201.01/201.06 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ( 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))
% 201.01/201.06 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__eq__drop,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__nth,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_listsum__map__filter,axiom,
% 201.01/201.06 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 201.01/201.06 ( class_Groups_Omonoid__add(T_c)
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 201.01/201.06 => 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)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted__nth__monoI,axiom,
% 201.01/201.06 ! [V_xs,T_a] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_a)
% 201.01/201.06 => ( ! [B_i,B_j] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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))) ) )
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__eq__filter,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 201.01/201.06 ( ! [B_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 201.01/201.06 => ( ( 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)))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 201.01/201.06 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_length__takeWhile__less__P__nth,axiom,
% 201.01/201.06 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 201.01/201.06 ( ! [B_i] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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)))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted_Osimps,axiom,
% 201.01/201.06 ! [V_a_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 201.01/201.06 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 201.01/201.06 | ? [B_xs,B_x] :
% 201.01/201.06 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 201.01/201.06 & ! [B_xa] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_not__in__set__insert,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Oinsert__def,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 201.01/201.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insert__remdups,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__insert,axiom,
% 201.01/201.06 ! [V_x,V_xs,T_a] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__insert,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_List_Oset__insert,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insert__Nil,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_concat__map__maps,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_maps__def,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_maps__simps_I2_J,axiom,
% 201.01/201.06 ! [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) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_maps__simps_I1_J,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_distinct__concat,axiom,
% 201.01/201.06 ! [V_xs_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 201.01/201.06 => ( ! [B_ys] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 201.01/201.06 => ( ! [B_ys] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.01/201.06 => ! [B_zs] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 201.01/201.06 => ( B_ys != B_zs
% 201.01/201.06 => 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)) ) ) )
% 201.01/201.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_measures__lesseq,axiom,
% 201.01/201.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( 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)))
% 201.01/201.06 => 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)))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_wf__measures,axiom,
% 201.01/201.06 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__measures_I1_J,axiom,
% 201.01/201.06 ! [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))))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_measures__def,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_measures__less,axiom,
% 201.01/201.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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)))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__measures_I2_J,axiom,
% 201.01/201.06 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 201.01/201.06 ( 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))))
% 201.01/201.06 <=> ( 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)))
% 201.01/201.06 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 201.01/201.06 & 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))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_foldl__apply,axiom,
% 201.01/201.06 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => 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)) )
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_order__fun_I2_J,axiom,
% 201.01/201.06 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( ( class_Orderings_Oorder(T_c)
% 201.01/201.06 & class_Enum_Oenum(T_b) )
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.01/201.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.01/201.06 & 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)))) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_enum__ex__prod__def,axiom,
% 201.01/201.06 ! [V_P_2,T_b,T_c] :
% 201.01/201.06 ( ( class_Enum_Oenum(T_c)
% 201.01/201.06 & class_Enum_Oenum(T_b) )
% 201.01/201.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 201.01/201.06 <=> 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))))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_exists__code,axiom,
% 201.01/201.06 ! [V_P_2,T_b] :
% 201.01/201.06 ( class_Enum_Oenum(T_b)
% 201.01/201.06 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.06 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_enum__ex,axiom,
% 201.01/201.06 ! [V_P_2,T_b] :
% 201.01/201.06 ( class_Enum_Oenum(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 201.01/201.06 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_zip__obtain__same__length,axiom,
% 201.01/201.06 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 201.01/201.06 ( ( 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))
% 201.01/201.06 => 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)))) )
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_pos__not__random__dseq__def,axiom,
% 201.01/201.06 ! [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)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_dropWhile__append2,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 => 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) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all2__all__nthI,axiom,
% 201.01/201.06 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 => ( ! [B_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => 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))) )
% 201.01/201.06 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_finite__sorted__distinct__unique,axiom,
% 201.01/201.06 ! [V_A_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.06 => ? [B_x] :
% 201.01/201.06 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 201.01/201.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 201.01/201.06 & ! [B_y] :
% 201.01/201.06 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 201.01/201.06 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 201.01/201.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 201.01/201.06 => B_y = B_x ) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_takeWhile__append2,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 201.01/201.06 ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 => 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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_insort__is__Cons,axiom,
% 201.01/201.06 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_c)
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 201.01/201.06 => 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) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_filter__eq__Cons__iff,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ? [B_us,B_vs] :
% 201.01/201.06 ( 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))
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 & hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_Cons__eq__filter__iff,axiom,
% 201.01/201.06 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( 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)
% 201.01/201.06 <=> ? [B_us,B_vs] :
% 201.01/201.06 ( 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))
% 201.01/201.06 & ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 201.01/201.06 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 & hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_order__fun_I1_J,axiom,
% 201.01/201.06 ! [V_g_2,V_f_2,T_b,T_c] :
% 201.01/201.06 ( ( class_Orderings_Oorder(T_c)
% 201.01/201.06 & class_Enum_Oenum(T_b) )
% 201.01/201.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 201.01/201.06 <=> 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))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_enum__all,axiom,
% 201.01/201.06 ! [V_P_2,T_b] :
% 201.01/201.06 ( class_Enum_Oenum(T_b)
% 201.01/201.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 201.01/201.06 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_all__code,axiom,
% 201.01/201.06 ! [V_P_2,T_b] :
% 201.01/201.06 ( class_Enum_Oenum(T_b)
% 201.01/201.06 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 201.01/201.06 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_enum__all__prod__def,axiom,
% 201.01/201.06 ! [V_P_2,T_b,T_c] :
% 201.01/201.06 ( ( class_Enum_Oenum(T_c)
% 201.01/201.06 & class_Enum_Oenum(T_b) )
% 201.01/201.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 201.01/201.06 <=> 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))))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ball__nth,axiom,
% 201.01/201.06 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_sorted_OCons,axiom,
% 201.01/201.06 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.06 ( class_Orderings_Olinorder(T_b)
% 201.01/201.06 => ( ! [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 201.01/201.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 201.01/201.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__length,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 201.01/201.06 <=> ? [B_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__conv__decomp__first,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 <=> ? [B_ys] :
% 201.01/201.06 ( ? [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))
% 201.01/201.06 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__simps_I2_J,axiom,
% 201.01/201.06 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__append,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.01/201.06 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 201.01/201.06 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__iff,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 201.01/201.06 <=> ? [B_x] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__rev,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.01/201.06 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__ex__simps_I1_J,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.01/201.06 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.06 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__conv__decomp,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 <=> ? [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)) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_in__set__conv__decomp__last,axiom,
% 201.01/201.06 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.06 <=> ? [B_ys,B_zs] :
% 201.01/201.06 ( 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))
% 201.01/201.06 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all__length,axiom,
% 201.01/201.06 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.06 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 201.01/201.06 <=> ! [B_n] :
% 201.01/201.06 ( 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)))
% 201.01/201.06 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_measure__function__int,axiom,
% 201.01/201.06 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))) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all__simps_I2_J,axiom,
% 201.01/201.06 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 201.01/201.06
% 201.01/201.06 fof(fact_list__all__append,axiom,
% 201.01/201.06 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 201.01/201.07 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 201.01/201.07 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_measure__size,axiom,
% 201.01/201.07 ! [T_b] :
% 201.01/201.07 ( class_Nat_Osize(T_b)
% 201.01/201.07 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_is__measure_Ointros,axiom,
% 201.01/201.07 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_is__measure_Oequations,axiom,
% 201.01/201.07 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_is__measure_Osimps,axiom,
% 201.01/201.07 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__iff,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 201.01/201.07 <=> ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_measure__fst,axiom,
% 201.01/201.07 ! [T_c,V_f_2,T_b] :
% 201.01/201.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_measure__snd,axiom,
% 201.01/201.07 ! [T_c,V_f_2,T_b] :
% 201.01/201.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__rev,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 201.01/201.07 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__simps_I1_J,axiom,
% 201.01/201.07 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.01/201.07 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.07 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Ball__set__list__all,axiom,
% 201.01/201.07 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__iff__raw,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 201.01/201.07 <=> ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex1__simps_I2_J,axiom,
% 201.01/201.07 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 201.01/201.07 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.07 => 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) )
% 201.01/201.07 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.07 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_transfer__morphism__int__nat,axiom,
% 201.01/201.07 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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex1__simps_I1_J,axiom,
% 201.01/201.07 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bool_Osize_I4_J,axiom,
% 201.01/201.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bool_Osize_I3_J,axiom,
% 201.01/201.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex1__iff,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 201.01/201.07 <=> ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.07 & ! [B_y] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_y)) )
% 201.01/201.07 => B_y = B_x ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 201.01/201.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 201.01/201.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.07 => 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) )
% 201.01/201.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 201.01/201.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 201.01/201.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.07 => 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) )
% 201.01/201.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 201.01/201.07 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_pos__empty__def,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_neg__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_neg__map__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_neg__single__def,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_pos__bind__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_pos__map__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_pos__single__def,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_length__splice,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_splice_Osimps_I3_J,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_splice__Nil2,axiom,
% 201.01/201.07 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 201.01/201.07
% 201.01/201.07 fof(fact_splice_Osimps_I1_J,axiom,
% 201.01/201.07 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 201.01/201.07
% 201.01/201.07 fof(fact_splice_Osimps_I2_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__single__def,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_acyclicP__converse,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( 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))))
% 201.01/201.07 <=> 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_converse__meet,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_converse__join,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_converse__pred__comp,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep__eq,axiom,
% 201.01/201.07 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep__conversep,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep__iff,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep_Oequations,axiom,
% 201.01/201.07 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep_Ointros,axiom,
% 201.01/201.07 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversepD,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep__noteq,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> V_x_2 != V_y_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_conversep__converse__eq,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_,axiom,
% 201.01/201.07 ! [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)))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_tl__replicate,axiom,
% 201.01/201.07 ! [V_x,T_a,V_n] :
% 201.01/201.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__length__filter,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_length__replicate,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_map__replicate__const,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__app__Cons__same,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__Suc,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_rev__replicate,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_take__replicate,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_drop__replicate,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_hd__replicate,axiom,
% 201.01/201.07 ! [V_x,T_a,V_n] :
% 201.01/201.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_last__replicate,axiom,
% 201.01/201.07 ! [V_x,T_a,V_n] :
% 201.01/201.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_zip__replicate,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Ball__set__replicate,axiom,
% 201.01/201.07 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( 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))))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.07 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Bex__set__replicate,axiom,
% 201.01/201.07 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 201.01/201.07 ( ? [B_x] :
% 201.01/201.07 ( 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))))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 201.01/201.07 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__eq__replicate,axiom,
% 201.01/201.07 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 201.01/201.07 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 201.01/201.07 <=> ( V_m_2 = V_n_2
% 201.01/201.07 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => V_x_2 = V_y_2 ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nth__replicate,axiom,
% 201.01/201.07 ! [V_x,T_a,V_n,V_i] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 201.01/201.07 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_append__replicate__commute,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__add,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_filter__replicate,axiom,
% 201.01/201.07 ! [V_n_2,T_b,V_x_2,V_P_2] :
% 201.01/201.07 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.07 => 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) )
% 201.01/201.07 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_concat__replicate__trivial,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__empty,axiom,
% 201.01/201.07 ! [V_x_2,V_n_2,T_b] :
% 201.01/201.07 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 201.01/201.07 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_empty__replicate,axiom,
% 201.01/201.07 ! [V_x_2,V_n_2,T_b] :
% 201.01/201.07 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 201.01/201.07 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__0,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_map__replicate,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_in__set__replicate,axiom,
% 201.01/201.07 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 201.01/201.07 ( 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))))
% 201.01/201.07 <=> ( V_x_2 = V_y_2
% 201.01/201.07 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_replicate__append__same,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_map__replicate__trivial,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_set__replicate,axiom,
% 201.01/201.07 ! [V_x_2,T_b,V_n_2] :
% 201.01/201.07 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_set__replicate__conv__if,axiom,
% 201.01/201.07 ! [V_x_2,T_b,V_n_2] :
% 201.01/201.07 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => 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)) )
% 201.01/201.07 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_set__replicate__Suc,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy__list_Osimps,axiom,
% 201.01/201.07 ! [V_d_2,T_b] :
% 201.01/201.07 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 201.01/201.07 => 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)))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_eq__comp__r,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy__prod__def,axiom,
% 201.01/201.07 ! [V_d,T_b,T_a] :
% 201.01/201.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 201.01/201.07 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__union__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__01,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Oinject,axiom,
% 201.01/201.07 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 201.01/201.07 ( 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)
% 201.01/201.07 <=> ( V_a_2 = V_a_H_2
% 201.01/201.07 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_pos__union__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy_H_Osimps,axiom,
% 201.01/201.07 ! [V_i,V_d] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 201.01/201.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 201.01/201.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 201.01/201.07 => 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)))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy_H_Opsimps,axiom,
% 201.01/201.07 ! [V_i_2,V_d_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 201.01/201.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 201.01/201.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 201.01/201.07 => 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)))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy__int__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_small__lazy_H_Opinduct,axiom,
% 201.01/201.07 ! [V_P_2,V_a1_2,V_a0_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( ! [B_d,B_i] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 201.01/201.07 => 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)))) )
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_size__code,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence__size__code,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_seq__case,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_yieldn__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_refl__on__INTER,axiom,
% 201.01/201.07 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.07 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_in__set__member,axiom,
% 201.01/201.07 ! [V_xs_2,V_x_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_member__rec_I2_J,axiom,
% 201.01/201.07 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_member__set,axiom,
% 201.01/201.07 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_member__rec_I1_J,axiom,
% 201.01/201.07 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> ( V_x_2 = V_y_2
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_List_Omember__def,axiom,
% 201.01/201.07 ! [V_x_2,V_xs_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex1__iff__raw,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 201.01/201.07 <=> ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.07 & ! [B_y] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_y)) )
% 201.01/201.07 => B_y = B_x ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_setsum__UNION__zero,axiom,
% 201.01/201.07 ! [V_f_2,V_S_2,T_b,T_c] :
% 201.01/201.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 201.01/201.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 201.01/201.07 => ( ! [B_T1] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 201.01/201.07 => ! [B_T2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 201.01/201.07 => ( B_T1 != B_T2
% 201.01/201.07 => ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 201.01/201.07 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 201.01/201.07 => 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) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_THE__default__def,axiom,
% 201.01/201.07 ! [V_d_2,T_b,V_P_2] :
% 201.01/201.07 ( ( ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.07 & ! [B_y] :
% 201.01/201.07 ( hBOOL(hAPP(V_P_2,B_y))
% 201.01/201.07 => B_y = B_x ) )
% 201.01/201.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 201.01/201.07 & ( ~ ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(V_P_2,B_x))
% 201.01/201.07 & ! [B_y] :
% 201.01/201.07 ( hBOOL(hAPP(V_P_2,B_y))
% 201.01/201.07 => B_y = B_x ) )
% 201.01/201.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_SUP2__E,axiom,
% 201.01/201.07 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ~ ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.07 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_INF2__I,axiom,
% 201.01/201.07 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_finite__maxlen,axiom,
% 201.01/201.07 ! [V_M_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 201.01/201.07 => ? [B_n] :
% 201.01/201.07 ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__02,axiom,
% 201.01/201.07 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__iff__all__interval__int,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 201.01/201.07 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 201.01/201.07 <=> ~ 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_all__interval__int__def,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 201.01/201.07 <=> ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Random_Osimps,axiom,
% 201.01/201.07 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 201.01/201.07 ( ( 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)))
% 201.01/201.07 => 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)) )
% 201.01/201.07 & ( ~ 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)))
% 201.01/201.07 => 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))))))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_exE__realizer,axiom,
% 201.01/201.07 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( ! [B_x,B_y] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 201.01/201.07 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Random__Sequence_Oempty__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Random__Sequence_Osingle__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Random__Sequence_Omap__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Image__Collect__split,axiom,
% 201.01/201.07 ! [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)))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex__iff__raw,axiom,
% 201.01/201.07 ! [V_xs_2,V_P_2,T_b] :
% 201.01/201.07 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 201.01/201.07 <=> ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Bex__set__list__ex,axiom,
% 201.01/201.07 ! [V_P_2,V_xs_2,T_b] :
% 201.01/201.07 ( ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_SUPR__bool__eq,axiom,
% 201.01/201.07 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bex__UNIV,axiom,
% 201.01/201.07 ! [V_P_2,T_b] :
% 201.01/201.07 ( ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_finite__Collect__bex,axiom,
% 201.01/201.07 ! [V_Q_2,T_c,V_A_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.07 => ( 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)))))
% 201.01/201.07 <=> ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.07 => 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)))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bex__empty,axiom,
% 201.01/201.07 ! [V_P_2,T_b] :
% 201.01/201.07 ~ ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Union__eq,axiom,
% 201.01/201.07 ! [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)))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_UN__eq,axiom,
% 201.01/201.07 ! [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))))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_INT__eq,axiom,
% 201.01/201.07 ! [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))))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Sup__fun__def,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.07 => 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)))))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Sup__apply,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.07 => 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)))))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Inf__fun__def,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.07 => 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)))))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Inf__apply,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 201.01/201.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 201.01/201.07 => 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)))))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_max__extp_Ointros,axiom,
% 201.01/201.07 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 201.01/201.07 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 201.01/201.07 => ? [B_xa] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 201.01/201.07 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 201.01/201.07 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_max__extp_Osimps,axiom,
% 201.01/201.07 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 201.01/201.07 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 201.01/201.07 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 201.01/201.07 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 201.01/201.07 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 201.01/201.07 & ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 201.01/201.07 => ? [B_xa] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 201.01/201.07 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_fun__lub__def,axiom,
% 201.01/201.07 ! [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)))))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lexord__trans,axiom,
% 201.01/201.07 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__less__than,axiom,
% 201.01/201.07 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__lex__prod,axiom,
% 201.01/201.07 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_R1_2)
% 201.01/201.07 => ( c_Relation_Otrans(T_c,V_R2_2)
% 201.01/201.07 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__reflclI,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__inv__image,axiom,
% 201.01/201.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__O__subset,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__Int,axiom,
% 201.01/201.07 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Otrans(T_b,V_s_2)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_listrel__trans,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__converse,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.07 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lexord__transI,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__Id,axiom,
% 201.01/201.07 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trancl__id,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__trancl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__Id__on,axiom,
% 201.01/201.07 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__finite__psubset,axiom,
% 201.01/201.07 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__rtrancl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_transD,axiom,
% 201.01/201.07 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( 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))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__def,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 <=> ! [B_x,B_y] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ! [B_z] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_transp__def,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 201.01/201.07 <=> 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_trans__diff__Id,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Oantisym(T_b,V_r_2)
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__subset,axiom,
% 201.01/201.07 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( c_Relation_Oantisym(T_b,V_s_2)
% 201.01/201.07 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__Id,axiom,
% 201.01/201.07 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_transpE,axiom,
% 201.01/201.07 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__converse,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.07 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__empty,axiom,
% 201.01/201.07 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__Id__on,axiom,
% 201.01/201.07 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisymD,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Oantisym(T_b,V_r_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( 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))
% 201.01/201.07 => V_a_2 = V_b_2 ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__def,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Oantisym(T_b,V_r_2)
% 201.01/201.07 <=> ! [B_x,B_y] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( 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))
% 201.01/201.07 => B_x = B_y ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_antisym__reflcl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivpE,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.01/201.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivpI,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.01/201.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 => ( c_Predicate_Otransp(T_b,V_R_2)
% 201.01/201.07 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sympE,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Predicate_Osymp(T_b,V_r_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivp__reflp__symp__transp,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 201.01/201.07 & c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__trans__comp__subset,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivpI,axiom,
% 201.01/201.07 ! [T_b,V_R_2] :
% 201.01/201.07 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.01/201.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 => ( c_Predicate_Otransp(T_b,V_R_2)
% 201.01/201.07 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__def,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 <=> ! [B_x,B_y] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_symD,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Un__converse,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivp__implies__part__equivp,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__rtrancl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Id__on,axiom,
% 201.01/201.07 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivp__transp,axiom,
% 201.01/201.07 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivp__symp,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivp__def,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.01/201.07 & ! [B_x,B_y] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 201.01/201.07 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.01/201.07 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 201.01/201.07 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__trancl,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Un,axiom,
% 201.01/201.07 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Osym(T_b,V_s_2)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Id,axiom,
% 201.01/201.07 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__converse,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 201.01/201.07 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__conv__converse__eq,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_listrel__sym,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Int,axiom,
% 201.01/201.07 ! [V_s_2,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Osym(T_b,V_s_2)
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__inv__image,axiom,
% 201.01/201.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 201.01/201.07 ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_sym__Int__converse,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivE,axiom,
% 201.01/201.07 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.07 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.07 => ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equivI,axiom,
% 201.01/201.07 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.07 => ( c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 201.01/201.07 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_equiv__def,axiom,
% 201.01/201.07 ! [V_r_2,V_A_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 201.01/201.07 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 201.01/201.07 & c_Relation_Osym(T_b,V_r_2)
% 201.01/201.07 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_symp__def,axiom,
% 201.01/201.07 ! [V_r_2,T_b] :
% 201.01/201.07 ( c_Predicate_Osymp(T_b,V_r_2)
% 201.01/201.07 <=> 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivp__refl__symp__transp,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.01/201.07 & c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivpE,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 201.01/201.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 201.01/201.07 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_part__equivp__typedef,axiom,
% 201.01/201.07 ! [V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 201.01/201.07 => ? [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))))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__o__cancel,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inj__iff,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 <=> 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inj__on__inv__into,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__image__cancel,axiom,
% 201.01/201.07 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_surj__imp__inj__inv,axiom,
% 201.01/201.07 ! [V_f_2,T_b,T_c] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__image__comp,axiom,
% 201.01/201.07 ! [V_X_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_image__inv__f__f,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inj__imp__surj__inv,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_image__inv__into__cancel,axiom,
% 201.01/201.07 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.07 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_image__surj__f__inv__f,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_b,T_c] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_surj__f__inv__f,axiom,
% 201.01/201.07 ! [V_y_2,V_f_2,T_b,T_c] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_surj__iff__all,axiom,
% 201.01/201.07 ! [V_f_2,T_b,T_c] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> ! [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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__injective,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 201.01/201.07 ( 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)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 201.01/201.07 => V_x_2 = V_y_2 ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__into,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_f__inv__into__f,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__f__eq,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.07 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.01/201.07 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__f__f,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__f__f,axiom,
% 201.01/201.07 ! [V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__f__eq,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__id,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__def,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_o__inv__o__cancel,axiom,
% 201.01/201.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__comp,axiom,
% 201.01/201.07 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 201.01/201.07 => ( 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))))
% 201.01/201.07 => 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) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_surj__iff,axiom,
% 201.01/201.07 ! [V_f_2,T_b,T_c] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inj__transfer,axiom,
% 201.01/201.07 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => ( ! [B_y] :
% 201.01/201.07 ( 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)))))
% 201.01/201.07 => 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))) )
% 201.01/201.07 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_fold__image__UN__disjoint,axiom,
% 201.01/201.07 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 201.01/201.07 ( class_Groups_Ocomm__monoid__mult(T_d)
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.01/201.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 201.01/201.07 => ! [B_xa] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 201.01/201.07 => ( B_x != B_xa
% 201.01/201.07 => 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)) ) ) )
% 201.01/201.07 => 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) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__of__cases,axiom,
% 201.01/201.07 ! [V_y_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.07 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__of__induct,axiom,
% 201.01/201.07 ! [V_P_2,V_y_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.07 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_of__nat__cases,axiom,
% 201.01/201.07 ! [V_x_2] :
% 201.01/201.07 ~ ! [B_y] :
% 201.01/201.07 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 201.01/201.07 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_of__nat__induct,axiom,
% 201.01/201.07 ! [V_x_2,V_P_2] :
% 201.01/201.07 ( ! [B_y] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 201.01/201.07 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_beyond__def,axiom,
% 201.01/201.07 ! [V_l,V_k] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.01/201.07 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 201.01/201.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 201.01/201.07 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_beyond__zero,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__image__Collect__eq,axiom,
% 201.01/201.07 ! [V_P_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curry__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curryI,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 201.01/201.07 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__id,axiom,
% 201.01/201.07 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__image__INT,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_o__inv__distrib,axiom,
% 201.01/201.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__inv__eq,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__imp__bij__inv,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inv__into__inv__into__eq,axiom,
% 201.01/201.07 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__inv__into,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curry__split,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_split__curry,axiom,
% 201.01/201.07 ! [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 ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__image__Compl__eq,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__combine,axiom,
% 201.01/201.07 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__Disj__Un,axiom,
% 201.01/201.07 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.01/201.07 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 201.01/201.07 => 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)) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__id,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__id__iff,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 201.01/201.07 <=> V_A_2 = V_B_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_BIJ,axiom,
% 201.01/201.07 ! [V_B_2,T_c,V_A_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 201.01/201.07 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 201.01/201.07 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__finite,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__empty1,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)
% 201.01/201.07 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__empty2,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__same__card,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__the__inv__into,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__is__inj,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__imp__inj__on,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__def,axiom,
% 201.01/201.07 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inj__on__imp__bij__betw,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__imp__surj,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__is__surj,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__subset,axiom,
% 201.01/201.07 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.07 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 201.01/201.07 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__def,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 & 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bijI,axiom,
% 201.01/201.07 ! [V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 201.01/201.07 => ( 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))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_finite__vimage__iff,axiom,
% 201.01/201.07 ! [V_F_2,V_h_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 201.01/201.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curryD,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 201.01/201.07 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curryE,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 201.01/201.07 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_curry__conv,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__comp__iff2,axiom,
% 201.01/201.07 ! [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] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 201.01/201.07 <=> 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) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__comp,axiom,
% 201.01/201.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__trans,axiom,
% 201.01/201.07 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 201.01/201.07 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__betw__comp__iff,axiom,
% 201.01/201.07 ! [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] :
% 201.01/201.07 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 201.01/201.07 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 201.01/201.07 <=> 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_vimage__subset__eq,axiom,
% 201.01/201.07 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( 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))
% 201.01/201.07 <=> 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bij__vimage__eq__inv__image,axiom,
% 201.01/201.07 ! [V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 201.01/201.07 ! [V_M_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.01/201.07 => ? [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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Cantor__Bernstein,axiom,
% 201.01/201.07 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_ex__bij__betw__nat__finite,axiom,
% 201.01/201.07 ! [V_M_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.01/201.07 => ? [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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_ex__bij__betw__finite__nat,axiom,
% 201.01/201.07 ! [V_M_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 201.01/201.07 => ? [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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_refl__on__UNION,axiom,
% 201.01/201.07 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 201.01/201.07 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bex__reg__eqv,axiom,
% 201.01/201.07 ! [V_P_2,V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 => ( ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Respects__def,axiom,
% 201.01/201.07 ! [V_x_2,V_R_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_in__respects,axiom,
% 201.01/201.07 ! [V_R_2,V_x_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_bex__reg__right,axiom,
% 201.01/201.07 ! [V_P_2,V_Q_2,V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(V_Q_2,B_x))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) )
% 201.01/201.07 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 201.01/201.07 => ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_babs__reg__eqv,axiom,
% 201.01/201.07 ! [V_P_2,T_c,V_R_2,T_b] :
% 201.01/201.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 201.01/201.07 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_Babs__def,axiom,
% 201.01/201.07 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 201.01/201.07 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_wf__weak__decr__stable,axiom,
% 201.01/201.07 ! [V_r_2,V_f_2,T_b] :
% 201.01/201.07 ( ! [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)))
% 201.01/201.07 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 201.01/201.07 => ? [B_i] :
% 201.01/201.07 ! [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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_INT__greatest,axiom,
% 201.01/201.07 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 201.01/201.07 ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.07 => 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))) )
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_INT__anti__mono,axiom,
% 201.01/201.07 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 201.01/201.07 => 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))) )
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_rtrancl__induct2,axiom,
% 201.01/201.07 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))
% 201.01/201.07 => ( ! [B_a,B_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ! [B_aa,B_ba] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) )
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_converse__rtranclE2,axiom,
% 201.01/201.07 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( 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)
% 201.01/201.07 => ~ ! [B_a,B_b] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ~ 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_converse__rtrancl__induct2,axiom,
% 201.01/201.07 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))
% 201.01/201.07 => ( ! [B_a,B_b,B_aa,B_ba] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) )
% 201.01/201.07 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_congruentI,axiom,
% 201.01/201.07 ! [T_c,V_f_2,V_r_2,T_b] :
% 201.01/201.07 ( ! [B_y,B_z] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 201.01/201.07 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_congruent2I_H,axiom,
% 201.01/201.07 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 201.01/201.07 ( ! [B_y1,B_z1] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => ! [B_y2,B_z2] :
% 201.01/201.07 ( 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))
% 201.01/201.07 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 201.01/201.07 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__03,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__all__iff__all__interval__nat,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 201.01/201.07 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__04,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_all__interval__nat__def,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2)
% 201.01/201.07 <=> ! [B_x] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 201.01/201.07 ! [V_j_2,V_i_2,V_P_2] :
% 201.01/201.07 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 201.01/201.07 <=> ~ 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) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__05,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_folding__image_Ocong,axiom,
% 201.01/201.07 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 201.01/201.07 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 201.01/201.07 => ( ! [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 201.01/201.07 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 201.01/201.07 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__06,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact__07,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_New__DSequence_Opos__map__def,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_power__dvd__imp__le,axiom,
% 201.01/201.07 ! [V_n,V_m,V_i] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oorder__refl,axiom,
% 201.01/201.07 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__0__right,axiom,
% 201.01/201.07 ! [V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__1__left,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__imp__le,axiom,
% 201.01/201.07 ! [V_n,V_k] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__mult__dvd__cancel1,axiom,
% 201.01/201.07 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__cancel,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.07 ( ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 & class_Int_Onumber(T_b) )
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__div__eq__mult,axiom,
% 201.01/201.07 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 201.01/201.07 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 201.01/201.07 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__div__div__eq__mult,axiom,
% 201.01/201.07 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.07 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 201.01/201.07 => ( 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)
% 201.01/201.07 <=> 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) ) ) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__diffD,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__diffD1,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_power__le__dvd,axiom,
% 201.01/201.07 ! [V_m,V_b,V_n,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__power__le,axiom,
% 201.01/201.07 ! [V_m,V_n,V_y,V_x,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_le__imp__power__dvd,axiom,
% 201.01/201.07 ! [V_a,V_n,V_m,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 201.01/201.07 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 201.01/201.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeast__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_i_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatMost__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_i_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OlessThan__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_i_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OgreaterThan__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_i_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__eq__mod__eq__0,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,T_b] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 201.01/201.07 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__imp__mod__0,axiom,
% 201.01/201.07 ! [V_b,V_a,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 201.01/201.07 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 201.01/201.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 201.01/201.07 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 201.01/201.07 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 201.01/201.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__0__left,axiom,
% 201.01/201.07 ! [V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 201.01/201.07 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_one__dvd,axiom,
% 201.01/201.07 ! [V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__asym,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__trans,axiom,
% 201.01/201.07 ! [V_z,V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__asym_H,axiom,
% 201.01/201.07 ! [V_b,V_a] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 201.01/201.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__le__trans,axiom,
% 201.01/201.07 ! [V_z,V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 201.01/201.07 => ( V_b = V_c
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => V_y != V_x ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => V_x != V_y ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__imp__not__less,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__imp__le,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__not__sym,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__imp__neq,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 => V_x != V_y ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Ole__less__trans,axiom,
% 201.01/201.07 ! [V_z,V_y,V_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a] :
% 201.01/201.07 ( V_a = V_b
% 201.01/201.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oorder__trans,axiom,
% 201.01/201.07 ! [V_z,V_y,V_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oantisym,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 201.01/201.07 => V_x = V_y ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__antisym,axiom,
% 201.01/201.07 ! [V_n,V_m] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 201.01/201.07 => V_m = V_n ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 => ( V_b = V_c
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a] :
% 201.01/201.07 ( V_a = V_b
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Ole__neq__trans,axiom,
% 201.01/201.07 ! [V_b,V_a] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 => ( V_a != V_b
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 201.01/201.07 | V_x = V_y ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oantisym__conv,axiom,
% 201.01/201.07 ! [V_x_2,V_y_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 <=> V_x_2 = V_y_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oeq__refl,axiom,
% 201.01/201.07 ! [V_y,V_x] :
% 201.01/201.07 ( V_x = V_y
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oneq__le__trans,axiom,
% 201.01/201.07 ! [V_b,V_a] :
% 201.01/201.07 ( V_a != V_b
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oless__le,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 201.01/201.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 & V_x_2 != V_y_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Ole__less,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 201.01/201.07 | V_x_2 = V_y_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_Oeq__iff,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2] :
% 201.01/201.07 ( V_x_2 = V_y_2
% 201.01/201.07 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 201.01/201.07 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__trans,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__refl,axiom,
% 201.01/201.07 ! [V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__abs__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_m_2,T_b] :
% 201.01/201.07 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_abs__dvd__iff,axiom,
% 201.01/201.07 ! [V_k_2,V_m_2,T_b] :
% 201.01/201.07 ( class_Rings_Olinordered__idom(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__if__abs__eq,axiom,
% 201.01/201.07 ! [V_k,V_l,T_a] :
% 201.01/201.07 ( class_Rings_Olinordered__idom(T_a)
% 201.01/201.07 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_div__dvd__div,axiom,
% 201.01/201.07 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mod__iff,axiom,
% 201.01/201.07 ! [V_m_2,V_n_2,V_k_2,T_b] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_n_2))
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_mod__mod__cancel,axiom,
% 201.01/201.07 ! [V_a,V_b,V_c,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mod,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mod__imp__dvd,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__power__same,axiom,
% 201.01/201.07 ! [V_n,V_y,V_x,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__dvd__1__iff__1,axiom,
% 201.01/201.07 ! [V_m_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 201.01/201.07 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__reduce,axiom,
% 201.01/201.07 ! [V_n_2,V_k_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__add,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_div__add,axiom,
% 201.01/201.07 ! [V_y,V_x,V_z,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_minus__dvd__iff,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.07 ( class_Rings_Ocomm__ring__1(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__minus__iff,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2,T_b] :
% 201.01/201.07 ( class_Rings_Ocomm__ring__1(T_b)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__diff,axiom,
% 201.01/201.07 ! [V_z,V_y,V_x,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__ring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__diff__nat,axiom,
% 201.01/201.07 ! [V_n,V_m,V_k] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_div__power,axiom,
% 201.01/201.07 ! [V_n,V_x,V_y,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__neg__div,axiom,
% 201.01/201.07 ! [V_x,V_y,T_a] :
% 201.01/201.07 ( class_Divides_Oring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__div__neg,axiom,
% 201.01/201.07 ! [V_x,V_y,T_a] :
% 201.01/201.07 ( class_Divides_Oring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.01/201.07 => 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)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__dvd__not__less,axiom,
% 201.01/201.07 ! [V_n,V_m] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 201.01/201.07 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__1__iff__1,axiom,
% 201.01/201.07 ! [V_m_2] :
% 201.01/201.07 ( 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))))
% 201.01/201.07 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 201.01/201.07 ! [V_a_2,V_b_2] :
% 201.01/201.07 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2] :
% 201.01/201.07 ( 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)
% 201.01/201.07 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 201.01/201.07 ! [V_k_2,V_l_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 201.01/201.07 ! [V_a_2,V_b_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 201.01/201.07 ! [V_k_2,V_l_2] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 201.01/201.07 => 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)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 201.01/201.07 ! [V_l_2,V_k_2] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2] :
% 201.01/201.07 ( 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))
% 201.01/201.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 201.01/201.07 ! [V_l_2,V_k_2] :
% 201.01/201.07 ( 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)
% 201.01/201.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2] :
% 201.01/201.07 ( 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)
% 201.01/201.07 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 201.01/201.07 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2] :
% 201.01/201.07 ( V_a_2 = V_b_2
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 201.01/201.07 ! [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))) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 201.01/201.07 ! [V_c_2,V_b_2,V_a_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( V_a_2 = V_b_2
% 201.01/201.07 & V_b_2 = V_c_2 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inf__period_I3_J,axiom,
% 201.01/201.07 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 201.01/201.07 ( ( class_Rings_Ocomm__ring(T_b)
% 201.01/201.07 & class_Rings_Odvd(T_b) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 201.01/201.07 => ! [B_x,B_k] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_inf__period_I4_J,axiom,
% 201.01/201.07 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 201.01/201.07 ( ( class_Rings_Ocomm__ring(T_b)
% 201.01/201.07 & class_Rings_Odvd(T_b) )
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 201.01/201.07 => ! [B_x,B_k] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_ta_2)))
% 201.01/201.07 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_ta_2))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 201.01/201.07 ! [V_n_2,V_m_2,V_k_2] :
% 201.01/201.07 ( 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)))
% 201.01/201.07 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__div__cancel,axiom,
% 201.01/201.07 ! [V_b,V_a,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_div__mult__swap,axiom,
% 201.01/201.07 ! [V_a,V_b,V_c,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__div__mult__self,axiom,
% 201.01/201.07 ! [V_b,V_a,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => 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 ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__div__mult,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => 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) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_div__mult__div__if__dvd,axiom,
% 201.01/201.07 ! [V_w,V_z,V_x,V_y,T_a] :
% 201.01/201.07 ( class_Divides_Osemiring__div(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 201.01/201.07 => 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)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__right,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__left,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( 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))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvdI,axiom,
% 201.01/201.07 ! [V_k,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Odvd(T_a)
% 201.01/201.07 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_mult__dvd__mono,axiom,
% 201.01/201.07 ! [V_d,V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult,axiom,
% 201.01/201.07 ! [V_b,V_c,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult2,axiom,
% 201.01/201.07 ! [V_c,V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 201.01/201.07 => 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))) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__triv__right,axiom,
% 201.01/201.07 ! [V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => 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))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__triv__left,axiom,
% 201.01/201.07 ! [V_b,V_a,T_a] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__cancel__right,axiom,
% 201.01/201.07 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 201.01/201.07 ( class_Rings_Oidom(T_b)
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__mult__cancel__left,axiom,
% 201.01/201.07 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 201.01/201.07 ( class_Rings_Oidom(T_b)
% 201.01/201.07 => ( 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)))
% 201.01/201.07 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_unity__coeff__ex,axiom,
% 201.01/201.07 ! [V_l_2,V_P_2,T_b] :
% 201.01/201.07 ( ( class_Rings_Odvd(T_b)
% 201.01/201.07 & class_Rings_Osemiring__0(T_b) )
% 201.01/201.07 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 201.01/201.07 <=> ? [B_x] :
% 201.01/201.07 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 201.01/201.07 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_dvd__setprod,axiom,
% 201.01/201.07 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 201.01/201.07 ( class_Rings_Ocomm__semiring__1(T_c)
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 201.01/201.07 => 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))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 fof(fact_setprod__dvd__setprod__subset,axiom,
% 201.01/201.07 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 201.01/201.07 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 201.01/201.07 & class_Rings_Odvd(T_c) )
% 201.01/201.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 201.01/201.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 201.01/201.07 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 201.01/201.07
% 201.01/201.07 %----Arity declarations (220)
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 201.01/201.07 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Obounded__lattice(T_1)
% 201.01/201.07 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 201.01/201.07 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Obounded__lattice(T_1)
% 201.01/201.07 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Obounded__lattice(T_1)
% 201.01/201.07 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Olattice(T_1)
% 201.01/201.07 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Olattice(T_1)
% 201.01/201.07 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Odistrib__lattice(T_1)
% 201.01/201.07 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Oboolean__algebra(T_1)
% 201.01/201.07 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Orderings_Opreorder,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Orderings_Opreorder(T_1)
% 201.01/201.07 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Finite__Set_Ofinite(T_2)
% 201.01/201.07 & class_Finite__Set_Ofinite(T_1) )
% 201.01/201.07 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Lattices_Olattice,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Lattices_Olattice(T_1)
% 201.01/201.07 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Orderings_Oorder,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Orderings_Oorder(T_1)
% 201.01/201.07 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Orderings_Otop,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Orderings_Otop(T_1)
% 201.01/201.07 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Orderings_Oord,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Orderings_Oord(T_1)
% 201.01/201.07 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Orderings_Obot,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Orderings_Obot(T_1)
% 201.01/201.07 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Groups_Ouminus,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Groups_Ouminus(T_1)
% 201.01/201.07 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Groups_Ominus,axiom,
% 201.01/201.07 ! [T_2,T_1] :
% 201.01/201.07 ( class_Groups_Ominus(T_1)
% 201.01/201.07 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_fun__Enum_Oenum,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Enum_Oenum(T_2)
% 201.01/201.07 & class_Enum_Oenum(T_1) )
% 201.01/201.07 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 201.01/201.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 201.01/201.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 201.01/201.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 201.01/201.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 201.01/201.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 201.01/201.07 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 201.01/201.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 201.01/201.07 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 201.01/201.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 201.01/201.07 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 201.01/201.07 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 201.01/201.07 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 201.01/201.07 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 201.01/201.07 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 201.01/201.07 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 201.01/201.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 201.01/201.07 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 201.01/201.07 class_Orderings_Opreorder(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 201.01/201.07 class_Orderings_Olinorder(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 201.01/201.07 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 201.01/201.07 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 201.01/201.07 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 201.01/201.07 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 201.01/201.07 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 201.01/201.07 class_Lattices_Olattice(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 201.01/201.07 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 201.01/201.07 class_Divides_Oring__div(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 201.01/201.07 class_Rings_Omult__zero(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 201.01/201.07 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 201.01/201.07 class_Orderings_Oorder(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 201.01/201.07 class_Int_Oring__char__0(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 201.01/201.07 class_Int_Onumber__ring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 201.01/201.07 class_Rings_Osemiring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 201.01/201.07 class_Orderings_Oord(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 201.01/201.07 class_Groups_Ouminus(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 201.01/201.07 class_Groups_Osgn__if(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 201.01/201.07 class_Groups_Oabs__if(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 201.01/201.07 class_Rings_Oring__1(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 201.01/201.07 class_Groups_Ominus(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Power_Opower,axiom,
% 201.01/201.07 class_Power_Opower(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 201.01/201.07 class_Groups_Ozero(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oring,axiom,
% 201.01/201.07 class_Rings_Oring(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 201.01/201.07 class_Rings_Oidom(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Int_Onumber,axiom,
% 201.01/201.07 class_Int_Onumber(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Groups_Oone,axiom,
% 201.01/201.07 class_Groups_Oone(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 201.01/201.07 class_Rings_Odvd(tc_Int_Oint) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 201.01/201.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 201.01/201.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 201.01/201.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 201.01/201.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 201.01/201.07 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 201.01/201.07 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 201.01/201.07 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 201.01/201.07 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 201.01/201.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 201.01/201.07 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 201.01/201.07 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 201.01/201.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 201.01/201.07 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 201.01/201.07 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 201.01/201.07 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 201.01/201.07 class_Lattices_Olattice(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 201.01/201.07 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 201.01/201.07 class_Orderings_Oorder(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 201.01/201.07 class_Rings_Osemiring(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 201.01/201.07 class_Orderings_Oord(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 201.01/201.07 class_Orderings_Obot(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 201.01/201.07 class_Groups_Ominus(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Power_Opower,axiom,
% 201.01/201.07 class_Power_Opower(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 201.01/201.07 class_Groups_Ozero(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 201.01/201.07 class_Int_Onumber(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 201.01/201.07 class_Groups_Oone(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 201.01/201.07 class_Rings_Odvd(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 201.01/201.07 class_Nat_Osize(tc_Nat_Onat) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 201.01/201.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 201.01/201.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 201.01/201.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 201.01/201.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 201.01/201.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 201.01/201.07 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 201.01/201.07 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 201.01/201.07 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 201.01/201.07 class_Lattices_Olattice(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 201.01/201.07 class_Orderings_Oorder(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 201.01/201.07 class_Orderings_Otop(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 201.01/201.07 class_Orderings_Oord(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 201.01/201.07 class_Orderings_Obot(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 201.01/201.07 class_Groups_Ouminus(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 201.01/201.07 class_Groups_Ominus(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 201.01/201.07 class_Enum_Oenum(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 201.01/201.07 class_Nat_Osize(tc_HOL_Obool) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 201.01/201.07 ! [T_1] :
% 201.01/201.07 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 201.01/201.07 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_List__Olist__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Finite__Set_Ofinite(T_2)
% 201.01/201.07 & class_Finite__Set_Ofinite(T_1) )
% 201.01/201.07 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_sum__Enum_Oenum,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Enum_Oenum(T_2)
% 201.01/201.07 & class_Enum_Oenum(T_1) )
% 201.01/201.07 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_sum__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 201.01/201.07 ! [T_1] :
% 201.01/201.07 ( class_Finite__Set_Ofinite(T_1)
% 201.01/201.07 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 201.01/201.07 ! [T_1] :
% 201.01/201.07 ( class_Enum_Oenum(T_1)
% 201.01/201.07 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 201.01/201.07 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 201.01/201.07 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Finite__Set_Ofinite(T_2)
% 201.01/201.07 & class_Finite__Set_Ofinite(T_1) )
% 201.01/201.07 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_prod__Enum_Oenum,axiom,
% 201.01/201.07 ! [T_1,T_2] :
% 201.01/201.07 ( ( class_Enum_Oenum(T_2)
% 201.01/201.07 & class_Enum_Oenum(T_1) )
% 201.01/201.07 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_prod__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 201.01/201.07 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 201.01/201.07 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 201.01/201.07 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 201.01/201.07 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 201.01/201.07 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 201.01/201.07 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 201.01/201.07 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 201.01/201.07 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 201.01/201.07 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 201.01/201.07 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 201.01/201.07 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 201.01/201.07 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 201.01/201.07 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 201.01/201.07 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 201.01/201.07 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 201.01/201.07 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 201.01/201.07 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 201.01/201.07 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 201.01/201.07 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 201.01/201.07 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 201.01/201.07 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 201.01/201.07 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 201.01/201.07 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 201.01/201.07 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 201.01/201.07 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 201.01/201.07 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 201.01/201.07 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 201.01/201.07 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 201.01/201.07 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 201.01/201.07 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 201.01/201.07 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 201.01/201.07 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 201.01/201.07 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 201.01/201.07
% 201.01/201.07 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 201.01/201.07 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 201.01/201.07
% 201.01/201.07 %----Helper facts (20)
% 201.01/201.07 fof(help_c__COMBI__1,axiom,
% 201.01/201.07 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__COMBK__1,axiom,
% 201.01/201.07 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__COMBB__1,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__COMBC__1,axiom,
% 201.01/201.07 ! [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) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__COMBS__1,axiom,
% 201.01/201.07 ! [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)) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fequal__1,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 201.01/201.07 | V_x_2 = V_y_2 ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fequal__2,axiom,
% 201.01/201.07 ! [V_y_2,V_x_2] :
% 201.01/201.07 ( V_x_2 != V_y_2
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fFalse__1,axiom,
% 201.01/201.07 ~ hBOOL(c_fFalse) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fTrue__1,axiom,
% 201.01/201.07 hBOOL(c_fTrue) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fNot__1,axiom,
% 201.01/201.07 ! [V_P_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 201.01/201.07 | ~ hBOOL(V_P_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fNot__2,axiom,
% 201.01/201.07 ! [V_P_2] :
% 201.01/201.07 ( ~ ~ hBOOL(V_P_2)
% 201.01/201.07 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fconj__1,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(V_P_2)
% 201.01/201.07 | ~ hBOOL(V_Q_2)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fconj__2,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 201.01/201.07 | hBOOL(V_P_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fconj__3,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 201.01/201.07 | hBOOL(V_Q_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fdisj__1,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(V_P_2)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fdisj__2,axiom,
% 201.01/201.07 ! [V_P_2,V_Q_2] :
% 201.01/201.07 ( ~ hBOOL(V_Q_2)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fdisj__3,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 201.01/201.07 | hBOOL(V_P_2)
% 201.01/201.07 | hBOOL(V_Q_2) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fimplies__1,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( hBOOL(V_P_2)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fimplies__2,axiom,
% 201.01/201.07 ! [V_P_2,V_Q_2] :
% 201.01/201.07 ( ~ hBOOL(V_Q_2)
% 201.01/201.07 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 201.01/201.07
% 201.01/201.07 fof(help_c__fimplies__3,axiom,
% 201.01/201.07 ! [V_Q_2,V_P_2] :
% 201.01/201.07 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 201.01/201.07 | ~ hBOOL(V_P_2)
% 201.01/201.07 | hBOOL(V_Q_2) ) ).
% 201.01/201.07
% 201.01/201.07 %----Conjectures (1)
% 201.01/201.07 fof(conj_0,conjecture,
% 201.01/201.07 c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 201.01/201.07
% 201.01/201.07 %------------------------------------------------------------------------------
% 201.01/201.07 %-------------------------------------------
% 201.01/201.07 % Proof found
% 201.01/201.07 % SZS status Theorem for theBenchmark
% 201.01/201.07 % SZS output start Proof
% 201.32/201.08 %ClaNum:10383(EqnAxiom:3031)
% 201.32/201.08 %VarNum:70759(SingletonVarNum:20408)
% 201.32/201.08 %MaxLitNum:8
% 201.32/201.08 %MaxfuncDepth:13
% 201.32/201.08 %SharedTerms:989
% 201.32/201.08 %goalClause: 4625
% 201.32/201.08 %singleGoalClaCount:1
% 201.32/201.08 [3035]P1(a891)
% 201.32/201.08 [3036]P1(a893)
% 201.32/201.08 [3037]P107(a176)
% 201.32/201.08 [3038]P108(a891)
% 201.32/201.08 [3039]P108(a893)
% 201.32/201.08 [3040]P108(a1)
% 201.32/201.08 [3041]P108(a88)
% 201.32/201.08 [3042]P2(a891)
% 201.32/201.08 [3043]P2(a893)
% 201.32/201.08 [3044]P2(a1)
% 201.32/201.08 [3045]P109(a891)
% 201.32/201.08 [3046]P109(a893)
% 201.32/201.08 [3047]P109(a1)
% 201.32/201.08 [3048]P109(a88)
% 201.32/201.08 [3049]P110(a893)
% 201.32/201.08 [3050]P110(a1)
% 201.32/201.08 [3051]P110(a88)
% 201.32/201.08 [3052]P111(a891)
% 201.32/201.08 [3053]P111(a893)
% 201.32/201.08 [3054]P111(a1)
% 201.32/201.08 [3055]P111(a88)
% 201.32/201.08 [3056]P3(a891)
% 201.32/201.08 [3057]P3(a893)
% 201.32/201.08 [3058]P3(a1)
% 201.32/201.08 [3059]P3(a88)
% 201.32/201.08 [3060]P80(a891)
% 201.32/201.08 [3061]P80(a893)
% 201.32/201.08 [3062]P80(a1)
% 201.32/201.08 [3063]P81(a891)
% 201.32/201.08 [3064]P82(a1)
% 201.32/201.08 [3065]P4(a891)
% 201.32/201.08 [3066]P4(a896)
% 201.32/201.08 [3067]P69(a1)
% 201.32/201.08 [3068]P70(a893)
% 201.32/201.08 [3069]P70(a1)
% 201.32/201.08 [3070]P70(a88)
% 201.32/201.08 [3071]P103(a891)
% 201.32/201.08 [3072]P103(a893)
% 201.32/201.08 [3073]P103(a1)
% 201.32/201.08 [3074]P101(a891)
% 201.32/201.08 [3075]P101(a893)
% 201.32/201.08 [3076]P101(a1)
% 201.32/201.08 [3077]P83(a893)
% 201.32/201.08 [3078]P83(a1)
% 201.32/201.08 [3079]P83(a88)
% 201.32/201.08 [3080]P72(a893)
% 201.32/201.08 [3081]P72(a1)
% 201.32/201.08 [3082]P72(a88)
% 201.32/201.08 [3083]P84(a893)
% 201.32/201.08 [3084]P84(a1)
% 201.32/201.08 [3085]P84(a88)
% 201.32/201.08 [3086]P112(a893)
% 201.32/201.08 [3087]P112(a1)
% 201.32/201.08 [3088]P112(a88)
% 201.32/201.08 [3089]P113(a893)
% 201.32/201.08 [3090]P113(a1)
% 201.32/201.08 [3091]P113(a88)
% 201.32/201.08 [3092]P5(a891)
% 201.32/201.08 [3093]P73(a893)
% 201.32/201.08 [3094]P73(a1)
% 201.32/201.08 [3095]P73(a88)
% 201.32/201.08 [3096]P74(a893)
% 201.32/201.08 [3097]P74(a1)
% 201.32/201.08 [3098]P74(a88)
% 201.32/201.08 [3099]P71(a893)
% 201.32/201.08 [3100]P71(a1)
% 201.32/201.08 [3101]P71(a88)
% 201.32/201.08 [3102]P129(a893)
% 201.32/201.08 [3103]P129(a1)
% 201.32/201.08 [3104]P114(a893)
% 201.32/201.08 [3105]P114(a1)
% 201.32/201.08 [3106]P114(a88)
% 201.32/201.08 [3107]P130(a893)
% 201.32/201.08 [3108]P130(a1)
% 201.32/201.08 [3109]P130(a88)
% 201.32/201.08 [3110]P86(a893)
% 201.32/201.08 [3111]P86(a1)
% 201.32/201.08 [3112]P86(a88)
% 201.32/201.08 [3113]P87(a893)
% 201.32/201.08 [3114]P87(a1)
% 201.32/201.08 [3115]P87(a88)
% 201.32/201.08 [3116]P89(a893)
% 201.32/201.08 [3117]P89(a1)
% 201.32/201.08 [3118]P89(a88)
% 201.32/201.08 [3119]P77(a1)
% 201.32/201.08 [3120]P131(a1)
% 201.32/201.08 [3121]P132(a1)
% 201.32/201.08 [3122]P120(a1)
% 201.32/201.08 [3123]P76(a893)
% 201.32/201.08 [3124]P76(a1)
% 201.32/201.08 [3125]P76(a88)
% 201.32/201.08 [3126]P133(a1)
% 201.32/201.08 [3127]P90(a893)
% 201.32/201.08 [3128]P90(a1)
% 201.32/201.08 [3129]P90(a88)
% 201.32/201.08 [3130]P136(a893)
% 201.32/201.08 [3131]P136(a1)
% 201.32/201.08 [3132]P136(a88)
% 201.32/201.08 [3133]P85(a893)
% 201.32/201.08 [3134]P85(a1)
% 201.32/201.08 [3135]P85(a88)
% 201.32/201.08 [3136]P78(a1)
% 201.32/201.08 [3137]P143(a1)
% 201.32/201.08 [3138]P137(a893)
% 201.32/201.08 [3139]P137(a1)
% 201.32/201.08 [3140]P137(a88)
% 201.32/201.08 [3141]P146(a893)
% 201.32/201.08 [3142]P146(a1)
% 201.32/201.08 [3143]P146(a88)
% 201.32/201.08 [3144]P91(a893)
% 201.32/201.08 [3145]P91(a1)
% 201.32/201.08 [3146]P91(a88)
% 201.32/201.08 [3147]P139(a893)
% 201.32/201.08 [3148]P139(a1)
% 201.32/201.08 [3149]P139(a88)
% 201.32/201.08 [3150]P141(a893)
% 201.32/201.08 [3151]P141(a1)
% 201.32/201.08 [3152]P141(a88)
% 201.32/201.08 [3153]P140(a893)
% 201.32/201.08 [3154]P140(a1)
% 201.32/201.08 [3155]P140(a88)
% 201.32/201.08 [3156]P127(a1)
% 201.32/201.08 [3157]P128(a1)
% 201.32/201.08 [3158]P138(a893)
% 201.32/201.08 [3159]P138(a1)
% 201.32/201.08 [3160]P138(a88)
% 201.32/201.08 [3161]P121(a893)
% 201.32/201.08 [3162]P121(a1)
% 201.32/201.08 [3163]P121(a88)
% 201.32/201.08 [3164]P134(a893)
% 201.32/201.08 [3165]P134(a1)
% 201.32/201.08 [3166]P134(a88)
% 201.32/201.08 [3167]P135(a1)
% 201.32/201.08 [3168]P144(a1)
% 201.32/201.08 [3169]P95(a1)
% 201.32/201.08 [3170]P96(a893)
% 201.32/201.08 [3171]P96(a1)
% 201.32/201.08 [3172]P96(a88)
% 201.32/201.08 [3173]P97(a1)
% 201.32/201.08 [3174]P104(a893)
% 201.32/201.08 [3175]P104(a1)
% 201.32/201.08 [3176]P104(a88)
% 201.32/201.08 [3177]P147(a893)
% 201.32/201.08 [3178]P147(a1)
% 201.32/201.08 [3179]P147(a88)
% 201.32/201.08 [3180]P88(a1)
% 201.32/201.08 [3181]P142(a1)
% 201.32/201.08 [3182]P98(a891)
% 201.32/201.08 [3183]P92(a891)
% 201.32/201.08 [3184]P92(a1)
% 201.32/201.08 [3185]P122(a1)
% 201.32/201.08 [3186]P115(a1)
% 201.32/201.08 [3187]P145(a1)
% 201.32/201.08 [3188]P75(a1)
% 201.32/201.08 [3189]P62(a893)
% 201.32/201.08 [3190]P62(a1)
% 201.32/201.08 [3191]P62(a88)
% 201.32/201.08 [3192]P63(a1)
% 201.32/201.08 [3193]P116(a893)
% 201.32/201.08 [3194]P116(a1)
% 201.32/201.08 [3195]P116(a88)
% 201.32/201.08 [3196]P148(a893)
% 201.32/201.08 [3197]P148(a1)
% 201.32/201.08 [3198]P148(a88)
% 201.32/201.08 [3199]P93(a1)
% 201.32/201.08 [3200]P117(a891)
% 201.32/201.08 [3201]P102(a891)
% 201.32/201.08 [3202]P79(a893)
% 201.32/201.08 [3203]P79(a1)
% 201.32/201.08 [3204]P79(a88)
% 201.32/201.08 [3205]P118(a893)
% 201.32/201.08 [3206]P94(a893)
% 201.32/201.08 [3207]P94(a1)
% 201.32/201.08 [3208]P94(a88)
% 201.32/201.08 [3209]P64(a891)
% 201.32/201.08 [3210]P64(a896)
% 201.32/201.08 [3211]P106(a891)
% 201.32/201.08 [3212]P106(a893)
% 201.32/201.08 [3213]P106(a88)
% 201.32/201.08 [3214]P106(a896)
% 201.32/201.08 [3215]P106(a311)
% 201.32/201.08 [3216]P105(a1)
% 201.32/201.08 [3217]P105(a896)
% 201.32/201.08 [3218]P119(a1)
% 201.32/201.08 [3219]P123(a893)
% 201.32/201.08 [3220]P123(a1)
% 201.32/201.08 [3221]P123(a88)
% 201.32/201.08 [3222]P100(a891)
% 201.32/201.08 [3237]P39(a893,a228)
% 201.32/201.08 [3238]P39(a893,a305)
% 201.32/201.08 [3239]P40(a893,a228)
% 201.32/201.08 [4563]~E(a86,a76)
% 201.32/201.08 [4564]~P107(a227)
% 201.32/201.08 [3032]E(f2(a1),a76)
% 201.32/201.08 [3033]E(f3(a88),a4)
% 201.32/201.08 [3034]E(f89(a88),a5)
% 201.32/201.08 [3223]E(f177(a893),f2(a893))
% 201.32/201.08 [3224]E(f90(a893),f221(a893))
% 201.32/201.08 [3225]E(f99(a893),f222(a893))
% 201.32/201.08 [3226]E(f91(a1),f25(a1))
% 201.32/201.08 [3227]E(f77(a227),f2(a893))
% 201.32/201.08 [3228]E(f77(a176),f2(a893))
% 201.32/201.08 [3229]P6(f71(a1))
% 201.32/201.08 [3230]P6(f2(a1))
% 201.32/201.08 [3285]P39(f900(a893,a893),a26)
% 201.32/201.08 [3627]E(f307(a893,a893,a228,a228),a26)
% 201.32/201.08 [4565]~E(f71(a1),f2(a1))
% 201.32/201.08 [3231]E(f6(f2(a88)),f2(a893))
% 201.32/201.08 [3232]E(f100(f2(a893)),f2(a893))
% 201.32/201.08 [3241]E(f315(f72(a1),a76),a76)
% 201.32/201.08 [3244]E(f315(a101,f2(a893)),f71(a893))
% 201.32/201.08 [3245]E(f315(a93,f71(a1)),f71(a893))
% 201.32/201.08 [3246]E(f315(a5,f71(a893)),f71(a88))
% 201.32/201.08 [3248]E(f315(a5,f2(a893)),f2(a88))
% 201.32/201.08 [3250]E(f315(f92(a1),a76),f2(a1))
% 201.32/201.08 [3251]E(f315(f92(a88),a76),f2(a88))
% 201.32/201.08 [3252]E(f315(a93,f2(a1)),f2(a893))
% 201.32/201.08 [3253]E(f315(f92(a893),a76),f2(a893))
% 201.32/201.08 [3254]E(f315(f178(a891),a227),f2(a893))
% 201.32/201.08 [3255]E(f315(f178(a891),a176),f2(a893))
% 201.32/201.08 [3261]E(f315(f72(a1),f71(a1)),a86)
% 201.32/201.08 [3269]E(f315(f178(a88),f2(a88)),f2(a893))
% 201.32/201.08 [3270]E(f315(f89(a1),f71(a893)),f71(a1))
% 201.32/201.08 [3271]E(f315(f89(a1),f2(a893)),f2(a1))
% 201.32/201.08 [3272]E(f315(f72(a1),f2(a1)),f2(a1))
% 201.32/201.08 [3282]E(f315(a93,f71(a1)),f315(a101,f2(a893)))
% 201.32/201.08 [3283]E(f306(f900(a893,a893),a26),a27)
% 201.32/201.08 [3284]E(f308(f900(a893,a893),a26),a62)
% 201.32/201.08 [3311]E(f315(f270(a893),f2(a893)),f177(f901(a893,a891)))
% 201.32/201.08 [3312]E(f315(f271(a893),f2(a893)),f230(f901(a893,a891)))
% 201.32/201.08 [3320]P42(f177(f901(a1,a891)))
% 201.32/201.08 [3354]E(f315(f315(f3(a88),f2(a88)),f71(a88)),f2(a88))
% 201.32/201.08 [3429]P107(f315(f315(f224(a1),a86),f2(a1)))
% 201.32/201.08 [3453]P107(f315(f315(f223(a1),f2(a1)),f71(a1)))
% 201.32/201.08 [3455]P107(f315(f315(f224(a1),f2(a1)),f71(a1)))
% 201.32/201.08 [3658]E(f315(f315(f277(a893,a893,a893),a305),f295(a893,a305)),a228)
% 201.32/201.08 [3695]P43(a1,a893,a93,f315(f223(a1),f2(a1)))
% 201.32/201.08 [3699]E(f315(f315(f32(a893,f901(a893,a891)),f230(f901(a893,a891))),f292(a893)),f177(f901(a893,a891)))
% 201.32/201.08 [3700]E(f315(f315(f33(a893,f901(a893,a891)),f230(f901(a893,a891))),f270(a893)),f230(f901(a893,a891)))
% 201.32/201.08 [3701]E(f315(f315(f33(a893,f901(a893,a891)),f230(f901(a893,a891))),f289(a893)),f230(f901(a893,a891)))
% 201.32/201.08 [3702]E(f315(f315(f33(a893,f901(a893,a891)),f230(f901(a893,a891))),f271(a893)),f230(f901(a893,a891)))
% 201.32/201.08 [3717]P26(a893,a1,f89(a1),f230(f901(a893,a891)))
% 201.32/201.08 [3731]P43(a893,a1,f89(a1),f315(f18(a891,a893),a176))
% 201.32/201.08 [3866]E(f315(f66(a893,a88,a1,a5),a93),f92(a88))
% 201.32/201.08 [4085]P58(a88,a893,a22,a5,f230(f901(a893,a891)))
% 201.32/201.08 [4089]P58(a1,f901(f900(a893,a893),a891),a96,a82,a87)
% 201.32/201.08 [4343]E(f246(a1,a1,a1,a1,f25(a1),f72(a1)),a44)
% 201.32/201.08 [4574]~E(f315(f92(a1),a86),f315(f92(a1),a76))
% 201.32/201.08 [4575]~P107(f315(a182,f71(a1)))
% 201.32/201.08 [4576]~P107(f315(a182,f2(a1)))
% 201.32/201.08 [4601]~P107(f315(f315(f224(a1),a76),f2(a1)))
% 201.32/201.08 [3303]E(f315(f315(f3(a1),a86),a86),a76)
% 201.32/201.08 [3318]E(f315(f89(a1),f315(a101,f2(a893))),f71(a1))
% 201.32/201.08 [3383]E(f315(f28(a896),f230(f901(a896,a891))),f71(a893))
% 201.32/201.08 [3403]P107(f315(a182,f315(f92(a1),a86)))
% 201.32/201.08 [3405]P107(f315(f315(f223(a1),a86),a76))
% 201.32/201.08 [3407]P107(f315(f315(f224(a1),a86),a76))
% 201.32/201.08 [3463]E(f315(f315(f297(a893),f2(a893)),f177(f901(a893,a891))),f315(f289(a893),f2(a893)))
% 201.32/201.08 [3518]P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),a76)))
% 201.32/201.08 [3530]E(f315(f298(a893,a893,a101),f230(f901(a893,a891))),f315(f292(a893),f2(a893)))
% 201.32/201.08 [3565]P8(f900(a893,a893),f230(f901(f900(a893,a893),a891)),a97)
% 201.32/201.08 [3873]E(f315(f66(a893,a1,a88,f89(a1)),a22),a24)
% 201.32/201.08 [3932]P39(a893,f315(f250(f900(a893,a893)),f315(f245(a893,a893,a891),f224(a893))))
% 201.32/201.08 [4592]~P107(f315(a182,f315(f92(a1),a76)))
% 201.32/201.08 [4593]~P107(f315(f315(f223(a1),a76),a86))
% 201.32/201.08 [4594]~P107(f315(f315(f224(a1),a76),a76))
% 201.32/201.08 [4595]~P107(f315(f315(f224(a1),a76),a86))
% 201.32/201.08 [4596]~P107(f315(f315(f224(a1),a86),a86))
% 201.32/201.08 [4605]~P107(f315(f54(a893),f230(f901(a893,a891))))
% 201.32/201.08 [4606]~P107(f315(f54(a1),f230(f901(a1,a891))))
% 201.32/201.08 [4509]E(f315(f245(a1,a1,a891),f315(f315(f10(f901(a1,a891),f901(a1,a891),a1),f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f224(a1),f2(a1))))),f315(f315(f9(a1,a1,f901(a1,a891)),f315(f315(f10(f901(a1,f901(a1,a891)),f901(a1,f901(a1,a891)),a1),f9(a1,a1,a891)),f315(f315(f10(f901(a1,a1),f901(a1,f901(a1,a891)),a1),f315(f10(a1,f901(a1,a891),a1),a312)),a206))),f71(a1)))),a202)
% 201.32/201.08 [4625]~P25(a890,f315(f315(f297(f892(a890)),a902),f177(f901(f892(a890),a891))),f315(f315(f297(f892(a890)),a902),f177(f901(f892(a890),a891))))
% 201.32/201.08 [3602]E(f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86),f315(f72(a1),a86))
% 201.32/201.08 [3640]E(f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86),f315(f315(f3(a1),a76),a86))
% 201.32/201.08 [3800]E(f315(f315(f53(f900(a893,a893)),f230(f901(f900(a893,a893),a891))),a97),a87)
% 201.32/201.08 [3829]E(f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f71(a1))
% 201.32/201.08 [3830]E(f315(f92(a88),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f71(a88))
% 201.32/201.08 [3831]E(f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f71(a893))
% 201.32/201.08 [3834]E(f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(a101,f2(a893)))
% 201.32/201.08 [4211]E(f315(f315(f99(f901(f900(f900(a893,a893),f900(a893,a893)),a891)),a26),f295(f900(a893,a893),f177(f901(f900(f900(a893,a893),f900(a893,a893)),a891)))),a64)
% 201.32/201.08 [4277]E(f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),f71(a893)),f2(a893))),f177(f901(f900(a893,a893),a891))))),f71(a1))
% 201.32/201.08 [4278]E(f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),f2(a893)),f2(a893))),f177(f901(f900(a893,a893),a891))))),f2(a1))
% 201.32/201.08 [4291]E(f315(f250(f900(a893,a893)),f315(f245(a893,a893,a891),f315(f315(f10(a893,f901(a893,a891),a893),f315(f9(a893,a893,a891),a312)),a101))),a305)
% 201.32/201.08 [4263]E(f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),f315(a101,f315(a101,f2(a893))))
% 201.32/201.08 [4266]E(f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),f315(f315(f73(a893),f71(a893)),f71(a893)))
% 201.32/201.08 [4267]E(f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),f315(f28(a891),f230(f901(a891,a891))))
% 201.32/201.08 [4330]P6(f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))
% 201.32/201.08 [4399]P28(f901(f900(a893,a893),a891),f315(f315(f240(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891),f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)),a27),a63))
% 201.32/201.08 [4400]P28(f901(f900(a893,a893),a891),f315(f315(f240(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891),f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)),a62),a65))
% 201.32/201.08 [4440]E(f315(f315(f99(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)),f308(f900(a893,a893),a64)),f315(f315(f297(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f177(f901(f900(a893,a893),a891))),f177(f901(f900(a893,a893),a891)))),f177(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)))),a65)
% 201.32/201.08 [4441]E(f315(f315(f99(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)),f306(f900(a893,a893),a64)),f315(f315(f297(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f177(f901(f900(a893,a893),a891))),f177(f901(f900(a893,a893),a891)))),f177(f901(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a891)))),a63)
% 201.32/201.08 [4332]E(f315(a93,f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(a101,f315(a101,f2(a893))))
% 201.32/201.08 [4377]E(f315(f89(a1),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))
% 201.32/201.08 [4410]P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.08 [4411]E(f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86)),f315(a101,f315(a101,f315(a101,f2(a893)))))
% 201.32/201.08 [4455]P6(f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86)))
% 201.32/201.08 [4481]E(f315(f89(a1),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86)))
% 201.32/201.08 [4494]P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))))
% 201.32/201.08 [3240]P7(x32401,a312)
% 201.32/201.08 [3628]P26(a893,a893,a101,x36281)
% 201.32/201.08 [3233]P106(f892(x32331))
% 201.32/201.08 [3234]P106(f897(x32341))
% 201.32/201.08 [3235]P106(f894(x32351))
% 201.32/201.08 [3236]P106(f895(x32361))
% 201.32/201.08 [3256]P39(a1,f94(x32561))
% 201.32/201.08 [3257]P39(a1,f95(x32571))
% 201.32/201.08 [3307]P39(f901(x33071,a891),f302(x33071))
% 201.32/201.08 [3308]P40(f901(x33081,a891),f302(x33081))
% 201.32/201.08 [3332]E(f231(x33321,x33321,a312),a312)
% 201.32/201.08 [3347]E(f38(a1,x33471,x33471),f2(a1))
% 201.32/201.08 [3400]P14(x34001,f901(x34001,a891),f297(x34001))
% 201.32/201.08 [4567]~E(f315(a101,x45671),x45671)
% 201.32/201.08 [4573]~E(f315(a101,x45731),f2(a893))
% 201.32/201.08 [3242]E(f315(f92(a1),x32421),x32421)
% 201.32/201.08 [3243]E(f315(f178(a893),x32431),x32431)
% 201.32/201.08 [3258]E(f315(a82,f316(x32581)),x32581)
% 201.32/201.08 [3259]E(f315(a5,f557(x32591)),x32591)
% 201.32/201.08 [3260]E(f229(x32601,f2(a88)),f2(a88))
% 201.32/201.08 [3273]E(f103(x32731,f102(x32731)),f102(x32731))
% 201.32/201.08 [3274]E(f141(x32741,f102(x32741)),f102(x32741))
% 201.32/201.08 [3279]E(f315(f156(x32791),f102(x32791)),f102(x32791))
% 201.32/201.08 [3280]E(f315(f160(x32801),f102(x32801)),f102(x32801))
% 201.32/201.08 [3281]E(f315(f157(x32811),f102(x32811)),f102(x32811))
% 201.32/201.08 [3286]E(f315(f92(a1),x32861),f315(f91(a1),x32861))
% 201.32/201.08 [3287]E(f315(a82,f315(a96,x32871)),x32871)
% 201.32/201.08 [3289]E(f315(a5,f315(a22,x32891)),x32891)
% 201.32/201.08 [3290]E(f315(a22,f315(a5,x32901)),x32901)
% 201.32/201.08 [3292]P6(f315(f89(a1),x32921))
% 201.32/201.08 [3301]E(f315(f178(f894(x33011)),f102(x33011)),f2(a893))
% 201.32/201.08 [3302]E(f315(f178(f895(x33021)),f108(x33021)),f2(a893))
% 201.32/201.08 [3323]E(f315(f315(f3(a893),x33231),f2(a893)),x33231)
% 201.32/201.08 [3324]E(f315(f315(f74(a893),x33241),f71(a893)),x33241)
% 201.32/201.08 [3325]E(f315(f315(f74(a1),x33251),f71(a1)),x33251)
% 201.32/201.08 [3326]E(f315(f315(f73(a893),x33261),f2(a893)),x33261)
% 201.32/201.08 [3327]E(f315(f315(f73(a1),x33271),f2(a1)),x33271)
% 201.32/201.08 [3328]E(f315(f315(f222(a893),x33281),f2(a893)),x33281)
% 201.32/201.08 [3329]E(f315(f315(f74(a893),x33291),f2(a893)),f2(a893))
% 201.32/201.08 [3330]E(f315(f315(f221(a893),x33301),f2(a893)),f2(a893))
% 201.32/201.08 [3331]E(f315(f315(f29(a1),x33311),f2(a1)),f2(a1))
% 201.32/201.08 [3338]E(f315(f161(x33381),f102(x33381)),f177(f901(x33381,a891)))
% 201.32/201.08 [3342]P107(f315(f126(x33421),f102(x33421)))
% 201.32/201.08 [3348]E(f315(f143(x33481,x33481),f7(x33481)),f25(f894(x33481)))
% 201.32/201.08 [3349]E(f315(f143(x33491,x33491),f25(x33491)),f25(f894(x33491)))
% 201.32/201.08 [3350]E(f38(a1,x33501,f2(a1)),x33501)
% 201.32/201.08 [3351]E(f315(f223(a893),f315(a101,x33511)),f315(f224(a893),x33511))
% 201.32/201.08 [3352]E(f315(f270(a893),f315(a101,x33521)),f315(f289(a893),x33521))
% 201.32/201.08 [3353]E(f315(f271(a893),f315(a101,x33531)),f315(f292(a893),x33531))
% 201.32/201.08 [3355]E(f38(a1,f2(a1),x33551),f2(a1))
% 201.32/201.08 [3368]E(f315(f315(f73(a893),x33681),f71(a893)),f315(a101,x33681))
% 201.32/201.08 [3377]E(f315(f290(a893,x33771),f2(a893)),f177(f901(a893,a891)))
% 201.32/201.08 [3389]E(f291(a893,f2(a893),x33891),f315(f289(a893),x33891))
% 201.32/201.08 [3432]E(f315(f315(f3(a893),f315(a101,x34321)),f71(a893)),x34321)
% 201.32/201.08 [3444]E(f40(f2(a1),x34441),f315(f315(f240(a1,a1),f2(a1)),f2(a1)))
% 201.32/201.08 [3493]P107(f315(f315(f224(a893),x34931),f315(a101,x34931)))
% 201.32/201.08 [3505]P107(f315(f315(f224(a893),f2(a893)),f315(a101,x35051)))
% 201.32/201.08 [3730]E(f84(x37301,x37301,f230(f901(x37301,a891)),f25(x37301)),f25(x37301))
% 201.32/201.08 [3787]E(f315(f315(f3(a88),f315(a5,f315(a101,f315(a22,x37871)))),f71(a88)),x37871)
% 201.32/201.08 [3857]P107(f315(f315(f223(a1),f315(f72(a1),f315(f89(a1),x38571))),f2(a1)))
% 201.32/201.08 [4000]P107(f315(f315(f224(a1),f315(f72(a1),f315(f89(a1),f315(a101,x40001)))),f2(a1)))
% 201.32/201.08 [4581]~E(f230(f901(x45811,a891)),f177(f901(x45811,a891)))
% 201.32/201.08 [4604]~P107(f315(f315(f224(a893),x46041),f2(a893)))
% 201.32/201.08 [4615]~P107(f315(f315(f224(a1),f315(f89(a1),x46151)),f2(a1)))
% 201.32/201.08 [3291]E(f109(x32911,f108(f895(x32911))),f108(x32911))
% 201.32/201.08 [3306]E(f168(x33061,f102(f894(x33061))),f102(f894(x33061)))
% 201.32/201.08 [3309]E(f315(f315(f74(a1),a76),x33091),a76)
% 201.32/201.08 [3310]E(f315(f315(f73(a1),a76),x33101),x33101)
% 201.32/201.08 [3313]E(f315(a93,f315(f89(a1),x33131)),x33131)
% 201.32/201.08 [3314]E(f315(f315(f3(a1),x33141),a76),x33141)
% 201.32/201.08 [3315]E(f315(f315(f73(a1),x33151),a76),x33151)
% 201.32/201.08 [3317]E(f315(f315(f3(a893),x33171),x33171),f2(a893))
% 201.32/201.08 [3321]E(f315(f28(a893),f315(f270(a893),x33211)),x33211)
% 201.32/201.08 [3322]E(f315(f72(a1),f315(f72(a1),x33221)),x33221)
% 201.32/201.08 [3333]E(f315(f315(f74(a893),f71(a893)),x33331),x33331)
% 201.32/201.08 [3334]E(f315(f315(f74(a1),f71(a1)),x33341),x33341)
% 201.32/201.08 [3335]E(f315(f315(f73(a893),f2(a893)),x33351),x33351)
% 201.32/201.08 [3336]E(f315(f315(f73(a1),f2(a1)),x33361),x33361)
% 201.32/201.08 [3337]E(f315(f315(f222(a893),f2(a893)),x33371),x33371)
% 201.32/201.08 [3343]E(f315(f315(f3(a893),f2(a893)),x33431),f2(a893))
% 201.32/201.08 [3344]E(f315(f315(f74(a893),f2(a893)),x33441),f2(a893))
% 201.32/201.08 [3345]E(f315(f315(f221(a893),f2(a893)),x33451),f2(a893))
% 201.32/201.08 [3346]E(f315(f315(f29(a1),f2(a1)),x33461),f2(a1))
% 201.32/201.08 [3356]E(f117(x33561,f315(f72(a1),x33561)),f121(a1,x33561))
% 201.32/201.08 [3361]E(f315(f290(a893,f2(a893)),x33611),f315(f270(a893),x33611))
% 201.32/201.08 [3362]E(f315(f315(f74(a1),a86),x33621),f315(f72(a1),x33621))
% 201.32/201.08 [3370]E(f315(a93,f315(f92(a1),x33701)),f315(f92(a893),x33701))
% 201.32/201.08 [3371]E(f315(a22,f315(f92(a88),x33711)),f315(f92(a893),x33711))
% 201.32/201.08 [3372]E(f315(f28(a893),f315(f289(a893),x33721)),f315(a101,x33721))
% 201.32/201.08 [3381]E(f315(f315(f73(a893),f71(a893)),x33811),f315(a101,x33811))
% 201.32/201.08 [3385]E(f315(f69(a1),f315(f89(a1),x33851)),f315(f89(a1),x33851))
% 201.32/201.08 [3386]E(f315(f91(a1),f315(f89(a1),x33861)),f315(f89(a1),x33861))
% 201.32/201.08 [3390]E(f315(f28(x33901),f177(f901(x33901,a891))),f2(a893))
% 201.32/201.08 [3392]E(f315(f315(f29(a893),x33921),f315(a101,f2(a893))),x33921)
% 201.32/201.08 [3401]E(f38(a893,x34011,f315(a101,f2(a893))),f2(a893))
% 201.32/201.08 [3402]E(f38(a1,x34021,f315(f92(a1),a86)),f2(a1))
% 201.32/201.08 [3416]E(f315(f315(f29(a1),x34161),f315(f92(a1),a86)),f315(f72(a1),x34161))
% 201.32/201.08 [3420]E(f128(a893,f315(f290(a893,x34201),f2(a893))),f102(a893))
% 201.32/201.08 [3421]E(f315(f315(f73(a1),x34211),f71(a1)),f315(f315(f3(a1),x34211),a86))
% 201.32/201.08 [3422]E(f315(f315(f3(a1),x34221),f71(a1)),f315(f315(f73(a1),x34221),a86))
% 201.32/201.08 [3426]P107(f315(f315(f223(a893),x34261),x34261))
% 201.32/201.08 [3427]P107(f315(f315(f223(a1),x34271),x34271))
% 201.32/201.08 [3428]P107(f315(f315(f275(a893),x34281),x34281))
% 201.32/201.08 [3433]E(f315(f72(a1),f315(f92(a1),x34331)),f315(f92(a1),f315(f72(a1),x34331)))
% 201.32/201.08 [3434]P107(f315(f54(a893),f315(f270(a893),x34341)))
% 201.32/201.08 [3435]P107(f315(f54(a893),f315(f289(a893),x34351)))
% 201.32/201.08 [3442]E(f150(x34421,f230(f901(x34421,a891))),f230(f901(f894(x34421),a891)))
% 201.32/201.08 [3447]P107(f315(f315(f223(a893),f2(a893)),x34471))
% 201.32/201.08 [3457]E(f315(f315(f73(a893),f100(x34571)),f315(a101,f2(a893))),f100(f315(a101,x34571)))
% 201.32/201.08 [3458]E(f315(f250(x34581),f315(f18(a891,x34581),a227)),f177(f901(x34581,a891)))
% 201.32/201.08 [3459]E(f315(f250(x34591),f315(f18(a891,x34591),a176)),f230(f901(x34591,a891)))
% 201.32/201.08 [3462]E(f315(f315(f297(a893),x34621),f315(f270(a893),x34621)),f315(f270(a893),f315(a101,x34621)))
% 201.32/201.08 [3474]E(f315(f315(f73(a1),f71(a1)),f315(f89(a1),x34741)),f315(f89(a1),f315(a101,x34741)))
% 201.32/201.08 [3476]E(f315(f315(f140(f894(x34761)),f102(x34761)),f102(f894(x34761))),f47(x34761,f102(x34761)))
% 201.32/201.08 [3496]E(f177(f901(f900(x34961,x34961),a891)),f251(x34961,f177(f901(x34961,a891))))
% 201.32/201.08 [3497]E(f315(f296(x34971),f230(f901(x34971,a891))),f230(f901(f901(x34971,a891),a891)))
% 201.32/201.08 [3498]E(f315(f72(f901(x34981,a891)),f177(f901(x34981,a891))),f230(f901(x34981,a891)))
% 201.32/201.08 [3499]E(f315(f72(f901(x34991,a891)),f230(f901(x34991,a891))),f177(f901(x34991,a891)))
% 201.32/201.08 [3501]P107(f315(f54(x35011),f177(f901(x35011,a891))))
% 201.32/201.08 [3503]E(f315(f290(a893,x35031),f315(a101,x35031)),f315(f315(f297(a893),x35031),f177(f901(a893,a891))))
% 201.32/201.08 [3504]E(f78(f900(a893,a893),f41(x35041,f2(a893))),f315(f315(f240(a893,a893),f2(a893)),x35041))
% 201.32/201.08 [3517]E(f315(f315(f297(a893),f315(a101,x35171)),f315(f289(a893),x35171)),f315(f289(a893),f315(a101,x35171)))
% 201.32/201.08 [3521]P39(x35211,f177(f901(f900(x35211,x35211),a891)))
% 201.32/201.08 [3522]P41(x35221,f177(f901(f900(x35221,x35221),a891)))
% 201.32/201.08 [3525]P107(f315(f315(f223(a1),f2(a1)),f315(f89(a1),x35251)))
% 201.32/201.08 [3532]E(f315(f315(f73(a893),f315(f178(a893),x35321)),f315(a101,f2(a893))),f315(f178(a893),f315(a101,x35321)))
% 201.32/201.08 [3635]P42(f315(f298(a893,a1,f89(a1)),x36351))
% 201.32/201.08 [3673]P54(x36731,f177(f901(x36731,a891)),f177(f901(f900(x36731,x36731),a891)))
% 201.32/201.08 [3691]E(f315(f315(f240(a1,a1),f315(f92(a1),a86)),f315(f315(f3(a1),x36911),f71(a1))),f43(f315(f92(a1),a86),x36911))
% 201.32/201.08 [3743]P61(x37431,f315(f18(f901(x37431,a891),x37431),f315(f18(a891,x37431),a227)))
% 201.32/201.08 [3755]E(f278(a893,f275(a893),x37551,x37551),f315(f315(f297(a893),x37551),f177(f901(a893,a891))))
% 201.32/201.08 [3944]P107(f315(f315(f317(f901(f900(a893,a893),a891)),f316(x39441)),a87))
% 201.32/201.08 [3969]P107(f315(f315(f317(f901(f900(a893,a893),a891)),f315(a96,x39691)),a87))
% 201.32/201.08 [4098]P26(x40981,f901(x40981,a891),f315(f315(f9(x40981,f901(x40981,a891),f901(x40981,a891)),f297(x40981)),f177(f901(x40981,a891))),f230(f901(x40981,a891)))
% 201.32/201.08 [4578]~E(f315(f315(f73(a1),x45781),x45781),a86)
% 201.32/201.08 [4591]~E(f315(a5,f315(a101,f315(a22,x45911))),f2(a88))
% 201.32/201.08 [4597]~P107(f315(a182,f315(f89(a1),x45971)))
% 201.32/201.08 [4600]~P107(f315(f315(f224(a893),x46001),x46001))
% 201.32/201.08 [4608]~P107(f315(f315(f223(a893),f315(a101,x46081)),x46081))
% 201.32/201.08 [3449]E(f315(a93,f315(f72(a1),f315(f89(a1),x34491))),f2(a893))
% 201.32/201.08 [3452]E(f315(f315(f73(a1),f315(f72(a1),x34521)),x34521),f2(a1))
% 201.32/201.08 [3456]E(f315(f28(a1),f315(f290(a1,f2(a1)),x34561)),f315(a93,x34561))
% 201.32/201.08 [3467]E(f315(f315(f232(a893),f315(a101,f2(a893))),x34671),f315(a101,f2(a893)))
% 201.32/201.08 [3562]E(f315(f269(x35621),f177(f901(f900(x35621,x35621),a891))),f177(f901(x35621,a891)))
% 201.32/201.08 [3570]E(f30(f901(x35701,a891),f177(f901(f901(x35701,a891),a891))),f177(f901(x35701,a891)))
% 201.32/201.08 [3571]E(f30(f901(x35711,a891),f230(f901(f901(x35711,a891),a891))),f230(f901(x35711,a891)))
% 201.32/201.08 [3572]E(f31(f901(x35721,a891),f177(f901(f901(x35721,a891),a891))),f230(f901(x35721,a891)))
% 201.32/201.08 [3573]E(f31(f901(x35731,a891),f230(f901(f901(x35731,a891),a891))),f177(f901(x35731,a891)))
% 201.32/201.08 [3577]P107(f315(f315(f275(a893),f315(a101,f2(a893))),x35771))
% 201.32/201.08 [3618]E(f315(f315(f297(f894(x36181)),f102(x36181)),f177(f901(f894(x36181),a891))),f150(x36181,f177(f901(x36181,a891))))
% 201.32/201.08 [3619]E(f315(f315(f297(f894(x36191)),f102(x36191)),f177(f901(f894(x36191),a891))),f151(x36191,f102(f901(x36191,a891))))
% 201.32/201.08 [3657]E(f315(f315(f73(a893),f6(x36571)),f315(a101,f2(a893))),f6(f315(a5,f315(a101,f315(a22,x36571)))))
% 201.32/201.08 [3682]E(f315(f28(a1),f315(f298(a893,a1,f89(a1)),x36821)),f315(f28(a893),x36821))
% 201.32/201.08 [3683]P107(f315(f315(f223(a893),x36831),f315(f315(f74(a893),x36831),x36831)))
% 201.32/201.08 [3721]E(f315(f298(a1,a893,a93),f291(a1,f2(a1),f315(f89(a1),x37211))),f315(f289(a893),x37211))
% 201.32/201.08 [3738]E(f315(f315(f29(a893),f315(a101,f2(a893))),f315(f92(a893),x37381)),f315(a93,f315(f315(f29(a1),f71(a1)),f315(f92(a1),x37381))))
% 201.32/201.08 [3740]E(f315(f161(a893),f128(a893,f315(f290(a893,f2(a893)),f315(a101,x37401)))),f315(f289(a893),x37401))
% 201.32/201.08 [3741]E(f315(f315(f73(a893),f315(f178(a88),x37411)),f315(a101,f2(a893))),f315(f178(a88),f315(a5,f315(a101,f315(a22,x37411)))))
% 201.32/201.08 [3761]P41(x37611,f295(x37611,f177(f901(f900(x37611,x37611),a891))))
% 201.32/201.08 [3762]P53(x37621,f295(x37621,f177(f901(f900(x37621,x37621),a891))))
% 201.32/201.08 [3763]E(f315(f298(a1,a893,a93),f315(f298(a893,a1,f89(a1)),x37631)),x37631)
% 201.32/201.08 [3793]E(f315(f315(f297(a893),f2(a893)),f315(f298(a893,a893,a101),f315(f270(a893),x37931))),f315(f270(a893),f315(a101,x37931)))
% 201.32/201.08 [3799]P56(x37991,x37991,f295(x37991,f177(f901(f900(x37991,x37991),a891))))
% 201.32/201.08 [3805]P107(f315(a182,f315(f72(a1),f315(f89(a1),f315(a101,x38051)))))
% 201.32/201.08 [3815]E(f315(f315(f3(f901(a893,a891)),f315(f271(a893),x38151)),f315(f315(f297(a893),x38151),f177(f901(a893,a891)))),f315(f271(a893),f315(a101,x38151)))
% 201.32/201.08 [3832]E(f315(f315(f73(a1),f315(f315(f3(a1),a76),x38321)),f315(f315(f3(a1),a76),x38321)),f315(f315(f3(a1),a76),f315(f315(f73(a1),x38321),x38321)))
% 201.32/201.08 [3846]E(f315(f315(f297(f901(x38461,a891)),f177(f901(x38461,a891))),f177(f901(f901(x38461,a891),a891))),f315(f296(x38461),f177(f901(x38461,a891))))
% 201.32/201.08 [3874]E(f315(f315(f3(f901(a893,a891)),f315(f292(a893),x38741)),f315(f315(f297(a893),f315(a101,x38741)),f177(f901(a893,a891)))),f315(f292(a893),f315(a101,x38741)))
% 201.32/201.08 [3981]E(f315(f92(a893),f315(f315(f73(a1),x39811),x39811)),f315(f315(f79(a893,a893),f315(f92(a893),x39811)),f315(f315(f20(a893,a893,a893),f73(a893)),f7(a893))))
% 201.32/201.08 [4352]P14(x43521,f901(x43521,a891),f315(f315(f10(f901(x43521,a891),f901(f901(x43521,a891),f901(x43521,a891)),x43521),f315(f9(f901(x43521,a891),f901(x43521,a891),f901(x43521,a891)),f3(f901(x43521,a891)))),f315(f315(f9(x43521,f901(x43521,a891),f901(x43521,a891)),f297(x43521)),f177(f901(x43521,a891)))))
% 201.32/201.08 [4439]E(f315(f250(f900(a1,a1)),f315(f245(a1,a1,a891),f315(f315(f10(f901(a1,a891),f901(a1,a891),a1),f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),x44391)))),f224(a1)))),f94(x44391))
% 201.32/201.08 [4472]E(f315(f250(f900(a1,a1)),f315(f245(a1,a1,a891),f315(f315(f20(a1,f901(a1,a891),f901(a1,a891)),f315(f315(f10(f901(a891,a891),f901(f901(a1,a891),f901(a1,a891)),a1),f10(a891,a891,a1)),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),x44721)))),f224(a1)))),f95(x44721))
% 201.32/201.08 [4525]E(f315(f250(f900(f901(x45251,a891),f901(x45251,a891))),f315(f245(f901(x45251,a891),f901(x45251,a891),a891),f315(f315(f9(f901(x45251,a891),f901(f901(x45251,a891),a891),f901(f901(x45251,a891),a891)),f315(f315(f10(f901(f901(x45251,a891),f901(a891,a891)),f901(f901(f901(x45251,a891),a891),f901(f901(x45251,a891),a891)),f901(x45251,a891)),f20(f901(x45251,a891),a891,a891)),f315(f315(f10(f901(f901(x45251,a891),a891),f901(f901(x45251,a891),f901(a891,a891)),f901(x45251,a891)),f315(f10(a891,f901(a891,a891),f901(x45251,a891)),a313)),f224(f901(x45251,a891))))),f54(x45251)))),f302(x45251))
% 201.32/201.08 [4612]~P107(f315(f54(f894(x46121)),f230(f901(f894(x46121),a891))))
% 201.32/201.08 [4624]~P107(f315(f315(f223(a1),f2(a1)),f315(f72(a1),f315(f89(a1),f315(a101,x46241)))))
% 201.32/201.08 [3597]E(f315(f315(f3(a1),f315(f315(f73(a1),x35971),a86)),a86),x35971)
% 201.32/201.08 [3611]E(f315(f161(a893),f128(a893,f315(f290(a893,f2(a893)),x36111))),f315(f270(a893),x36111))
% 201.32/201.08 [3853]E(f315(f315(f73(a1),f315(f315(f73(a1),f71(a1)),x38531)),x38531),f315(f315(f3(a1),f315(f315(f73(a1),x38531),x38531)),a86))
% 201.32/201.08 [3901]E(f315(f274(x39011,x39011),f295(x39011,f177(f901(f900(x39011,x39011),a891)))),f295(x39011,f177(f901(f900(x39011,x39011),a891))))
% 201.32/201.08 [3947]P107(f315(f315(f223(a893),x39471),f315(f315(f74(a893),x39471),f315(f315(f74(a893),x39471),x39471))))
% 201.32/201.08 [4215]P107(f315(f54(a893),f315(f250(a893),f315(f315(f9(a893,a893,a891),f223(a893)),x42151))))
% 201.32/201.08 [4216]P107(f315(f54(a893),f315(f250(a893),f315(f315(f9(a893,a893,a891),f224(a893)),x42161))))
% 201.32/201.08 [4488]E(f315(f250(f900(x44881,x44881)),f315(f315(f10(f901(x44881,a891),a891,f900(x44881,x44881)),f80(x44881)),f315(f315(f9(f900(x44881,x44881),f901(x44881,f900(x44881,x44881)),f901(x44881,a891)),f315(f315(f10(f901(f900(x44881,x44881),a891),f901(f901(x44881,f900(x44881,x44881)),f901(x44881,a891)),f900(x44881,x44881)),f10(f900(x44881,x44881),a891,x44881)),a312)),f315(f315(f20(x44881,x44881,f900(x44881,x44881)),f240(x44881,x44881)),f7(x44881))))),f295(x44881,f177(f901(f900(x44881,x44881),a891))))
% 201.32/201.08 [4614]~E(f315(f315(f3(a1),f315(f315(f73(a1),x46141),x46141)),a86),a76)
% 201.32/201.08 [4616]~E(f315(f315(f73(a1),f315(f315(f73(a1),f71(a1)),x46161)),x46161),f2(a1))
% 201.32/201.08 [3991]E(f315(f315(f73(a1),f315(f315(f3(a1),a86),x39911)),f315(f315(f3(a1),a86),x39911)),f315(f315(f3(a1),a86),f315(f315(f3(a1),f315(f315(f73(a1),x39911),x39911)),a86)))
% 201.32/201.08 [4106]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),a86),x41061)),f315(f315(f3(a1),a86),x41061))),a86),f315(f315(f3(a1),a86),f315(f315(f73(a1),x41061),x41061)))
% 201.32/201.08 [4138]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f73(a1),x41381),a86)),f315(f315(f73(a1),x41381),a86))),a86),f315(f315(f73(a1),f315(f315(f73(a1),x41381),x41381)),a86))
% 201.32/201.08 [4176]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),a86),x41761)),f315(f315(f3(a1),a86),x41761))),a86),f315(f315(f3(a1),a76),f315(f315(f3(a1),f315(f315(f73(a1),x41761),x41761)),a86)))
% 201.32/201.08 [4273]E(f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x42731),f2(a893))),f177(f901(f900(a893,a893),a891))))),f315(f89(a1),x42731))
% 201.32/201.08 [4283]E(f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),f320(x42831)),f484(x42831))),f177(f901(f900(a893,a893),a891))))),x42831)
% 201.32/201.08 [4316]E(f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x43161)),f315(f298(a893,a1,f89(a1)),f315(f250(a893),f315(f315(f10(a1,a891,a893),x43161),f89(a1)))))
% 201.32/201.08 [4360]P42(f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x43601)))
% 201.32/201.08 [4380]P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x43801),f177(f901(f900(a893,a893),a891)))),a65))
% 201.32/201.08 [4385]E(f315(f298(a1,a893,a93),f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),f315(f315(f10(a893,a891,a1),x43851),a93)))),f315(f250(a893),x43851))
% 201.32/201.08 [4540]E(f300(a893,f315(f315(f33(f900(a893,a893),f901(a893,a891)),f315(a96,x45401)),f315(f245(a893,a893,f901(a893,a891)),f315(f315(f9(a893,f901(a893,a891),f901(a893,f901(a893,a891))),f315(f315(f10(f901(a893,f901(f901(a893,a891),f901(a893,a891))),f901(f901(a893,a891),f901(a893,f901(a893,a891))),a893),f9(a893,f901(a893,a891),f901(a893,a891))),f315(f315(f10(f901(a893,a893),f901(a893,f901(f901(a893,a891),f901(a893,a891))),a893),f315(f10(a893,f901(f901(a893,a891),f901(a893,a891)),a893),f297(a893))),f3(a893)))),f177(f901(a893,a891)))))),f315(a93,x45401))
% 201.32/201.08 [4036]E(f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),x40361),x40361)),a86)),a86),f315(f315(f73(a1),x40361),x40361))
% 201.32/201.08 [4086]E(f315(f315(f3(a1),f315(f315(f3(a1),f315(f315(f73(a1),x40861),x40861)),a86)),a86),f315(f315(f73(a1),f315(f315(f3(a1),x40861),a86)),f315(f315(f3(a1),x40861),a86)))
% 201.32/201.08 [4289]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f73(a1),f315(f72(a1),x42891)),a86)),f315(f315(f73(a1),f315(f72(a1),x42891)),a86))),a86),f315(f72(a1),f315(f315(f3(a1),f315(f315(f73(a1),x42891),x42891)),a86)))
% 201.32/201.08 [4333]E(f315(f315(f73(a893),x43331),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(a101,f315(a101,x43331)))
% 201.32/201.08 [4334]E(f315(f315(f74(a893),x43341),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f73(a893),x43341),x43341))
% 201.32/201.08 [4335]E(f315(f315(f29(a893),f315(f315(f73(a893),x43351),x43351)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x43351)
% 201.32/201.08 [4413]E(f38(a893,f315(a101,f315(a101,x44131)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a893,x44131,f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.08 [4554]E(f315(a82,f315(f315(f33(f900(a893,a893),f901(f900(a893,a893),a891)),f315(a96,x45541)),f315(f245(a893,a893,f901(f900(a893,a893),a891)),f315(f315(f10(f901(a893,f901(f900(a893,a893),a891)),f901(a893,f901(f900(a893,a893),a891)),a893),f315(f10(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891),a893),f273(f900(a893,a893),f900(a893,a893),a97))),f315(f315(f9(a893,f901(f900(a893,a893),a891),f901(a893,f901(f900(a893,a893),a891))),f315(f315(f10(f901(a893,f901(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f901(f901(f900(a893,a893),a891),f901(a893,f901(f900(a893,a893),a891))),a893),f9(a893,f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f10(f901(a893,f900(a893,a893)),f901(a893,f901(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),a893),f315(f10(f900(a893,a893),f901(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),a893),f297(f900(a893,a893)))),f315(f9(a893,a893,f900(a893,a893)),f240(a893,a893))))),f177(f901(f900(a893,a893),a891))))))),f315(f72(a1),x45541))
% 201.32/201.08 [4408]E(f315(f315(f73(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x44081),f315(a101,f315(a101,x44081)))
% 201.32/201.08 [4409]E(f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x44091),f315(f315(f73(a893),x44091),x44091))
% 201.32/201.08 [4445]E(f315(f315(f29(a893),f315(a101,f315(a101,x44451))),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(a101,f315(f315(f29(a893),x44451),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.08 [4495]E(f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x44951),f315(a101,f315(a101,f315(a101,x44951))))
% 201.32/201.08 [4561]E(f315(f245(a1,a1,f900(a1,a1)),f315(f315(f20(a1,f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f901(f900(a1,a1),f900(a1,a1))),f901(f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),a1),f20(a1,f900(a1,a1),f900(a1,a1))),f315(f315(f10(f901(a1,f900(a1,a1)),f901(a1,f901(f900(a1,a1),f900(a1,a1))),a1),f315(f20(a1,f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),f315(f315(f10(a891,f901(f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),a1),f85(f900(a1,a1))),f315(f315(f10(a1,a891,a1),f315(f223(a1),f2(a1))),f315(f315(f9(a1,a1,a1),f3(a1)),x45611))))),f315(f315(f9(a1,f901(a1,a1),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f900(a1,a1)),f901(f901(a1,a1),f901(a1,f900(a1,a1))),a1),f10(a1,f900(a1,a1),a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f315(f315(f9(a1,a1,a1),f315(f315(f10(a1,f901(a1,a1),a1),f73(a1)),f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f71(a1))))),f315(f315(f9(a1,a1,a1),f3(a1)),x45611))))),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))),f36(x45611))
% 201.32/201.08 [3276]P106(f899(x32761,x32762))
% 201.32/201.08 [3277]P106(f898(x32771,x32772))
% 201.32/201.08 [3278]P106(f900(x32781,x32782))
% 201.32/201.08 [3295]P13(a1,f167(x32951,x32952))
% 201.32/201.08 [3296]P39(x32961,f142(x32961,x32962))
% 201.32/201.08 [3297]P40(x32971,f251(x32971,x32972))
% 201.32/201.08 [3298]P40(x32981,f295(x32981,x32982))
% 201.32/201.08 [3299]P41(x32991,f251(x32991,x32992))
% 201.32/201.08 [3300]P53(x33001,f251(x33001,x33002))
% 201.32/201.08 [3363]P33(x33631,x33632,f102(x33631))
% 201.32/201.08 [3396]P54(x33961,x33962,f251(x33961,x33962))
% 201.32/201.08 [3397]P56(x33971,x33971,f251(x33971,x33972))
% 201.32/201.08 [3660]P26(x36601,x36601,f7(x36601),x36602)
% 201.32/201.08 [3661]P26(x36611,x36611,f25(x36611),x36612)
% 201.32/201.08 [3669]P34(x36691,x36692,f102(x36691),f102(x36691))
% 201.32/201.08 [3676]P26(f894(x36761),f894(x36761),f157(x36761),x36762)
% 201.32/201.08 [4076]P27(x40761,x40761,f25(x40761),x40762,x40762)
% 201.32/201.08 [4586]~P35(x45861,x45862,f102(x45861))
% 201.32/201.08 [4587]~P37(x45871,x45872,f102(x45871))
% 201.32/201.08 [3262]E(f315(f7(x32621),x32622),x32622)
% 201.32/201.08 [3263]E(f315(f250(x32631),x32632),x32632)
% 201.32/201.08 [3265]E(f315(f25(x32651),x32652),x32652)
% 201.32/201.08 [3275]E(f315(f180(x32751),x32752),f104(x32751))
% 201.32/201.08 [3293]E(f78(x32931,f315(a312,x32932)),x32932)
% 201.32/201.08 [3294]E(f83(x32941,f315(a312,x32942)),x32942)
% 201.32/201.08 [3316]E(f315(f114(x33161,x33162),f108(x33161)),f2(a893))
% 201.32/201.08 [3319]E(f315(f125(x33191,x33192),f102(x33191)),f102(x33191))
% 201.32/201.08 [3339]E(f295(x33391,f295(x33391,x33392)),f295(x33391,x33392))
% 201.32/201.08 [3340]E(f141(x33401,f141(x33401,x33402)),f141(x33401,x33402))
% 201.32/201.08 [3358]E(f315(f315(f123(x33581),x33582),f102(x33581)),x33582)
% 201.32/201.08 [3364]E(f162(x33641,x33642,f102(x33641)),x33642)
% 201.32/201.08 [3365]E(f162(x33651,f102(x33651),x33652),x33652)
% 201.32/201.08 [3366]E(f105(x33661,f108(x33661),x33662),x33662)
% 201.32/201.08 [3367]E(f158(x33671,f2(a893),x33672),f102(x33671))
% 201.32/201.08 [3373]E(f315(f315(f164(x33731),x33732),f102(x33731)),f102(x33731))
% 201.32/201.08 [3374]E(f315(f315(f127(x33741),x33742),f102(x33741)),f102(x33741))
% 201.32/201.08 [3376]E(f144(x33761,x33762,f102(x33761)),f2(a893))
% 201.32/201.08 [3378]E(f159(x33781,x33782,f102(x33781)),f102(x33781))
% 201.32/201.08 [3379]E(f166(x33791,x33792,f102(x33791)),f102(x33791))
% 201.32/201.08 [3380]E(f165(x33801,f102(x33801),x33802),f102(x33801))
% 201.32/201.08 [3384]E(f315(f161(x33841),f141(x33841,x33842)),f315(f161(x33841),x33842))
% 201.32/201.08 [3387]E(f315(f272(x33871,x33871),f251(x33871,x33872)),x33872)
% 201.32/201.08 [3388]E(f315(f252(x33881,x33881),f251(x33881,x33882)),x33882)
% 201.32/201.08 [3395]E(f315(f274(x33951,x33951),f251(x33951,x33952)),f251(x33951,x33952))
% 201.32/201.08 [3408]E(f295(f894(x34081),f146(x34081,x34082)),f147(x34081,f295(x34081,x34082)))
% 201.32/201.08 [3410]P107(f315(f126(a1),f167(x34101,x34102)))
% 201.32/201.08 [3418]E(f315(f272(x34181,x34181),f295(x34181,x34182)),f230(f901(x34181,a891)))
% 201.32/201.08 [3419]E(f315(f252(x34191,x34191),f295(x34191,x34192)),f230(f901(x34191,a891)))
% 201.32/201.08 [3423]P107(f315(f126(x34231),f141(x34231,x34232)))
% 201.32/201.08 [3425]P107(f315(f149(x34251,x34252),f102(x34251)))
% 201.32/201.08 [3431]E(f315(f161(a1),f167(x34311,x34312)),f291(a1,x34311,x34312))
% 201.32/201.08 [3445]P57(x34451,f177(f901(x34451,a891)),x34452)
% 201.32/201.08 [3450]E(f315(f244(a1,a1),f39(x34501,x34502)),f38(a1,x34501,x34502))
% 201.32/201.08 [3451]E(f315(f290(a893,x34511),f315(a101,x34512)),f291(a893,x34511,x34512))
% 201.32/201.08 [3466]E(f315(f315(f140(x34661),x34662),f102(x34661)),f129(x34661,x34662,f102(x34661)))
% 201.32/201.08 [3478]E(f291(a893,f315(a101,x34781),x34782),f293(a893,x34781,x34782))
% 201.32/201.08 [3481]P54(x34811,f230(f901(x34811,a891)),f295(x34811,x34812))
% 201.32/201.08 [3543]E(f315(f315(f3(a893),x35431),f315(a101,x35432)),f315(f28(a893),f294(a893,x35432,x35431)))
% 201.32/201.08 [3598]E(f155(x35981,x35982,f102(x35981)),f315(f315(f240(f894(x35981),f894(x35981)),f102(x35981)),f102(x35981)))
% 201.32/201.08 [3616]E(f315(f245(x36161,x36162,f900(x36161,x36162)),f240(x36161,x36162)),f25(f900(x36161,x36162)))
% 201.32/201.08 [3620]P107(f315(f315(f317(f894(x36201)),f102(x36201)),f150(x36201,x36202)))
% 201.32/201.08 [3621]E(f315(f178(f894(x36211)),f103(x36211,x36212)),f315(f315(f3(a893),f315(f178(f894(x36211)),x36212)),f71(a893)))
% 201.32/201.08 [3629]P107(f315(f54(a893),f291(a893,x36291,x36292)))
% 201.32/201.08 [3630]P107(f315(f54(a893),f294(a893,x36301,x36302)))
% 201.32/201.08 [3631]P107(f315(f54(a893),f293(a893,x36311,x36312)))
% 201.32/201.08 [3632]P107(f315(f54(a1),f291(a1,x36321,x36322)))
% 201.32/201.08 [3633]P107(f315(f54(a1),f294(a1,x36331,x36332)))
% 201.32/201.08 [3634]P107(f315(f54(a1),f293(a1,x36341,x36342)))
% 201.32/201.08 [3737]E(f315(f298(a893,a893,a101),f291(a893,x37371,x37372)),f291(a893,f315(a101,x37371),f315(a101,x37372)))
% 201.32/201.08 [3757]E(f315(f315(f277(x37571,x37571,x37571),f295(x37571,x37572)),f295(x37571,x37572)),f295(x37571,x37572))
% 201.32/201.08 [3791]E(f315(f315(f240(a88,a88),f315(f315(f29(a88),x37911),x37912)),f38(a88,x37911,x37912)),f23(x37911,x37912))
% 201.32/201.08 [3792]E(f315(f315(f240(a1,a1),f315(f315(f29(a1),x37921),x37922)),f38(a1,x37921,x37922)),f39(x37921,x37922))
% 201.32/201.08 [3819]E(f315(f315(f240(a893,a893),f315(f315(f29(a893),x38191),x38192)),f38(a893,x38191,x38192)),f78(f900(a893,a893),f41(x38191,x38192)))
% 201.32/201.08 [3870]P107(f315(f315(f224(a893),f315(f315(f3(a893),x38701),x38702)),f315(a101,x38701)))
% 201.32/201.08 [3918]P40(x39181,f315(f315(f277(x39181,x39181,x39181),x39182),f295(x39181,x39182)))
% 201.32/201.08 [3968]E(f315(f315(f73(a1),f315(f315(f74(a1),x39681),f315(f315(f29(a1),x39682),x39681))),f38(a1,x39682,x39681)),x39682)
% 201.32/201.08 [3972]E(f315(f315(f33(a893,f901(f900(f894(x39721),f894(x39721)),a891)),f230(f901(a893,a891))),f132(x39721,x39722)),f134(x39721,x39722))
% 201.32/201.08 [4192]P107(f315(f315(f317(f900(f894(x41921),f894(x41921))),f315(f315(f240(f894(x41921),f894(x41921)),f102(x41921)),f102(x41921))),f147(x41921,x41922)))
% 201.32/201.08 [4301]E(f241(x43011,x43011,x43011,a312,f241(x43011,x43011,x43011,x43012,a312)),x43012)
% 201.32/201.08 [4345]E(f246(x43451,x43451,x43452,x43452,f7(x43451),f7(x43452)),f25(f900(x43451,x43452)))
% 201.32/201.08 [4347]E(f246(x43471,x43471,x43472,x43472,f25(x43471),f25(x43472)),f25(f900(x43471,x43472)))
% 201.32/201.08 [3357]E(f315(f157(x33571),f315(f157(x33571),x33572)),x33572)
% 201.32/201.08 [3359]E(f315(f315(f127(x33591),f2(a893)),x33592),x33592)
% 201.32/201.08 [3375]E(f315(f315(f164(x33751),f2(a893)),x33752),f102(x33751))
% 201.32/201.08 [3382]E(f315(f315(f123(x33821),f102(x33821)),x33822),x33822)
% 201.32/201.08 [3391]E(f30(f901(x33911,a891),f315(f296(x33911),x33912)),x33912)
% 201.32/201.08 [3393]E(f315(f161(x33931),f315(f156(x33931),x33932)),f315(f161(x33931),x33932))
% 201.32/201.08 [3394]E(f315(f161(x33941),f315(f157(x33941),x33942)),f315(f161(x33941),x33942))
% 201.32/201.08 [3399]E(f315(f315(f3(a88),x33991),x33992),f315(f315(a4,x33991),x33992))
% 201.32/201.08 [3412]E(f315(f315(f74(a893),x34121),x34122),f315(f315(f74(a893),x34122),x34121))
% 201.32/201.08 [3413]E(f315(f315(f74(a1),x34131),x34132),f315(f315(f74(a1),x34132),x34131))
% 201.32/201.08 [3414]E(f315(f315(f73(a893),x34141),x34142),f315(f315(f73(a893),x34142),x34141))
% 201.32/201.08 [3415]E(f315(f315(f73(a1),x34151),x34152),f315(f315(f73(a1),x34152),x34151))
% 201.32/201.08 [3437]E(f315(f315(f172(x34371,x34371),f2(a893)),x34372),f25(x34371))
% 201.32/201.08 [3438]E(f315(f178(f894(x34381)),f315(f156(x34381),x34382)),f315(f178(f894(x34381)),x34382))
% 201.32/201.08 [3439]E(f315(f178(f894(x34391)),f315(f157(x34391),x34392)),f315(f178(f894(x34391)),x34392))
% 201.32/201.08 [3440]E(f165(x34401,x34402,f177(f901(a893,a891))),f102(x34401))
% 201.32/201.08 [3441]E(f315(f315(f143(x34411,x34411),f7(x34411)),x34412),x34412)
% 201.32/201.08 [3443]E(f315(f239(a1,a1),f39(x34431,x34432)),f315(f315(f29(a1),x34431),x34432))
% 201.32/201.08 [3460]E(f315(f178(f894(x34601)),f141(x34601,x34602)),f315(f28(x34601),f315(f161(x34601),x34602)))
% 201.32/201.08 [3461]E(f315(f269(x34611),f315(f274(x34611,x34611),x34612)),f315(f269(x34611),x34612))
% 201.32/201.08 [3465]P107(f315(f54(x34651),f315(f161(x34651),x34652)))
% 201.32/201.08 [3473]E(f315(f315(f73(a1),x34731),f315(f72(a1),x34732)),f315(f315(f3(a1),x34731),x34732))
% 201.32/201.08 [3480]P25(x34801,x34802,f177(f901(f892(x34801),a891)))
% 201.32/201.08 [3482]E(f315(f298(x34821,x34821,f7(x34821)),x34822),x34822)
% 201.32/201.08 [3483]E(f315(f298(x34831,x34831,f25(x34831)),x34832),x34832)
% 201.32/201.08 [3484]E(f315(f299(x34841,x34841,f7(x34841)),x34842),x34842)
% 201.32/201.08 [3485]E(f315(f299(x34851,x34851,f25(x34851)),x34852),x34852)
% 201.32/201.08 [3486]P107(f315(f230(f901(x34861,a891)),x34862))
% 201.32/201.08 [3488]E(f315(f28(a893),f315(f290(a893,x34881),x34882)),f315(f315(f3(a893),x34882),x34881))
% 201.32/201.08 [3489]E(f315(f290(a893,f315(a101,x34891)),x34892),f294(a893,x34891,x34892))
% 201.32/201.08 [3502]E(f315(f315(f297(x35021),x35022),f177(f901(x35021,a891))),f315(f250(x35021),f315(a312,x35022)))
% 201.32/201.08 [3507]E(f295(x35071,f315(f274(x35071,x35071),x35072)),f315(f274(x35071,x35071),f295(x35071,x35072)))
% 201.32/201.08 [3512]E(f315(f315(f73(a893),f315(a101,x35121)),x35122),f315(f315(f73(a893),x35121),f315(a101,x35122)))
% 201.32/201.08 [3513]E(f315(f315(f3(a893),f315(a101,x35131)),f315(a101,x35132)),f315(f315(f3(a893),x35131),x35132))
% 201.32/201.08 [3519]E(f48(x35191,f2(a893),x35192),f315(f315(f140(f894(x35191)),f102(x35191)),f102(f894(x35191))))
% 201.32/201.08 [3520]E(f315(f28(a893),f293(a893,x35201,x35202)),f315(f315(f3(a893),x35202),x35201))
% 201.32/201.08 [3529]P39(x35291,f315(f315(f276(a893,x35291),a228),x35292))
% 201.32/201.08 [3531]P13(a893,f128(a893,f315(f290(a893,x35311),x35312)))
% 201.32/201.08 [3533]P107(f315(f54(a893),f315(f290(a893,x35331),x35332)))
% 201.32/201.08 [3534]P107(f315(f54(a1),f315(f290(a1,x35341),x35342)))
% 201.32/201.08 [3537]E(f315(f274(f894(x35371),f894(x35371)),f146(x35371,x35372)),f146(x35371,f315(f274(x35371,x35371),x35372)))
% 201.32/201.08 [3539]E(f315(f290(a1,x35391),f315(f315(f73(a1),x35392),f71(a1))),f291(a1,x35391,x35392))
% 201.32/201.08 [3542]E(f315(f315(f29(a1),f315(f72(a1),x35421)),f315(f72(a1),x35422)),f315(f315(f29(a1),x35421),x35422))
% 201.32/201.08 [3550]E(f315(f315(f172(f900(x35501,x35501),a891),f71(a893)),x35502),x35502)
% 201.32/201.08 [3552]E(f315(f315(f99(f901(x35521,a891)),x35522),f177(f901(x35521,a891))),x35522)
% 201.32/201.08 [3553]E(f315(f315(f3(f901(x35531,a891)),x35532),f177(f901(x35531,a891))),x35532)
% 201.32/201.08 [3554]E(f315(f315(f90(f901(x35541,a891)),x35542),f230(f901(x35541,a891))),x35542)
% 201.32/201.08 [3555]E(f315(f239(a893,a893),f78(f900(a893,a893),f41(x35551,x35552))),f315(f315(f29(a893),x35551),x35552))
% 201.32/201.08 [3561]E(f291(a1,f315(f315(f73(a1),x35611),f71(a1)),x35612),f293(a1,x35611,x35612))
% 201.32/201.08 [3566]E(f315(f244(a893,a893),f78(f900(a893,a893),f41(x35661,x35662))),f38(a893,x35661,x35662))
% 201.32/201.08 [3576]P107(f315(f315(f317(x35761),x35762),f230(f901(x35761,a891))))
% 201.32/201.08 [3581]E(f315(f315(f3(a893),f315(a101,x35811)),x35812),f315(f28(a893),f291(a893,x35812,x35811)))
% 201.32/201.08 [3607]E(f315(f315(f99(f901(x36071,a891)),x36072),f230(f901(x36071,a891))),f230(f901(x36071,a891)))
% 201.32/201.08 [3608]E(f315(f315(f3(f901(x36081,a891)),x36082),f230(f901(x36081,a891))),f177(f901(x36081,a891)))
% 201.32/201.08 [3609]E(f315(f315(f90(f901(x36091,a891)),x36092),f177(f901(x36091,a891))),f177(f901(x36091,a891)))
% 201.32/201.08 [3624]E(f38(a1,f315(f89(a1),x36241),f315(f89(a1),x36242)),f315(f89(a1),f38(a893,x36241,x36242)))
% 201.32/201.08 [3625]E(f38(a1,f315(f72(a1),x36251),f315(f72(a1),x36252)),f315(f72(a1),f38(a1,x36251,x36252)))
% 201.32/201.08 [3636]E(f315(f178(f894(x36361)),f315(f160(x36361),x36362)),f315(f315(f3(a893),f315(f178(f894(x36361)),x36362)),f71(a893)))
% 201.32/201.08 [3662]E(f315(f315(f29(a1),f38(a1,x36621,x36622)),x36622),f2(a1))
% 201.32/201.08 [3671]E(f315(a5,f38(a893,f315(a22,x36711),f315(a22,x36712))),f38(a88,x36711,x36712))
% 201.32/201.08 [3704]E(f315(a5,f315(f315(f3(a893),f315(a22,x37041)),f315(a22,x37042))),f315(f315(f3(a88),x37041),x37042))
% 201.32/201.08 [3705]E(f315(a5,f315(f315(f74(a893),f315(a22,x37051)),f315(a22,x37052))),f315(f315(f74(a88),x37051),x37052))
% 201.32/201.08 [3706]E(f315(a5,f315(f315(f73(a893),f315(a22,x37061)),f315(a22,x37062))),f315(f315(f73(a88),x37061),x37062))
% 201.32/201.08 [3707]E(f315(a5,f315(f315(f29(a893),f315(a22,x37071)),f315(a22,x37072))),f315(f315(f29(a88),x37071),x37072))
% 201.32/201.08 [3715]E(f315(f298(a893,a893,a101),f315(f290(a893,x37151),x37152)),f315(f290(a893,f315(a101,x37151)),f315(a101,x37152)))
% 201.32/201.08 [3742]P107(f315(f41(x37421,x37422),f78(f900(a893,a893),f41(x37421,x37422))))
% 201.32/201.08 [3766]E(f38(a893,f315(a101,f38(a893,x37661,x37662)),x37662),f38(a893,f315(a101,x37661),x37662))
% 201.32/201.08 [3778]E(f315(f315(f33(f901(x37781,a891),f901(x37781,a891)),x37782),f7(f901(x37781,a891))),f30(f901(x37781,a891),x37782))
% 201.32/201.08 [3779]E(f315(f315(f32(f901(x37791,a891),f901(x37791,a891)),x37792),f7(f901(x37791,a891))),f31(f901(x37791,a891),x37792))
% 201.32/201.08 [3780]E(f315(f298(f894(x37801),f901(x37801,a891),f161(x37801)),f315(f161(f894(x37801)),f47(x37801,x37802))),f315(f296(x37801),f315(f161(x37801),x37802)))
% 201.32/201.08 [3784]P107(f315(f315(f317(f901(x37841,a891)),x37842),f315(f296(x37841),x37842)))
% 201.32/201.08 [3790]E(f38(a1,f315(f72(a1),f38(a1,x37901,x37902)),x37902),f38(a1,f315(f72(a1),x37901),x37902))
% 201.32/201.08 [3801]P107(f315(f315(f223(f901(x38011,a891)),x38012),f230(f901(x38011,a891))))
% 201.32/201.08 [3803]E(f315(f315(f277(x38031,x38031,x38031),f295(x38031,x38032)),f295(x38031,f295(x38031,x38032))),f295(x38031,x38032))
% 201.32/201.08 [3804]E(f315(f315(f99(f901(x38041,a891)),f315(f252(x38041,x38041),x38042)),f315(f272(x38041,x38041),x38042)),f315(f269(x38041),x38042))
% 201.32/201.08 [3825]E(f301(x38251,x38252,f230(f901(x38251,a891)),f230(f901(x38252,a891))),f230(f901(f899(x38251,x38252),a891)))
% 201.32/201.08 [3875]P107(f315(f315(f223(a893),f38(a893,x38751,x38752)),x38751))
% 201.32/201.08 [3899]P107(f315(f315(f223(a1),f315(f72(a1),f315(f89(a1),x38991))),f315(f89(a1),x38992)))
% 201.32/201.08 [3923]P107(f315(f315(f317(f901(x39231,a891)),f177(f901(x39231,a891))),f315(f296(x39231),x39232)))
% 201.32/201.08 [3928]E(f295(x39281,f315(f315(f277(x39281,x39281,x39281),x39282),f295(x39281,x39282))),f295(x39281,x39282))
% 201.32/201.08 [3931]E(f315(f315(f277(x39311,x39311,x39311),f295(x39311,x39312)),x39312),f315(f315(f277(x39311,x39311,x39311),x39312),f295(x39311,x39312)))
% 201.32/201.08 [3933]E(f315(a93,f315(f315(f73(a1),f315(f315(f3(a1),x39331),x39332)),f71(a1))),f315(f28(a1),f291(a1,x39332,x39331)))
% 201.32/201.08 [3948]E(f315(f272(x39481,x39481),f315(f315(f277(x39481,x39481,x39481),x39482),f295(x39481,x39482))),f315(f272(x39481,x39481),x39482))
% 201.32/201.08 [3949]E(f315(f252(x39491,x39491),f315(f315(f277(x39491,x39491,x39491),x39492),f295(x39491,x39492))),f315(f252(x39491,x39491),x39492))
% 201.32/201.08 [3967]E(f315(f131(f894(x39671),f894(x39671),f123(x39671),f102(x39671)),f158(f894(x39671),x39672,f102(x39671))),f102(x39671))
% 201.32/201.08 [3976]P26(a893,a893,f315(f315(f9(a893,a893,a893),f73(a893)),x39761),x39762)
% 201.32/201.08 [3978]P13(a893,f315(f157(a893),f315(f315(f143(f894(x39781),a893),f178(f894(x39781))),f168(x39781,x39782))))
% 201.32/201.08 [4008]P53(x40081,f315(f315(f99(f901(f900(x40081,x40081),a891)),x40082),f315(f274(x40081,x40081),x40082)))
% 201.32/201.08 [4009]P53(x40091,f315(f315(f90(f901(f900(x40091,x40091),a891)),x40092),f315(f274(x40091,x40091),x40092)))
% 201.32/201.08 [4020]P107(f315(f315(f224(a1),f315(f72(a1),f315(f89(a1),f315(a101,x40201)))),f315(f89(a1),x40202)))
% 201.32/201.08 [4065]E(f315(f131(f894(x40651),x40651,f315(f9(x40651,f894(x40651),f894(x40651)),f140(x40651)),f102(x40651)),x40652),f315(f157(x40651),x40652))
% 201.32/201.08 [4113]P107(f315(f315(f223(f901(f900(f894(x41131),f894(x41131)),a891)),f147(x41131,x41132)),f295(f894(x41131),f146(x41131,x41132))))
% 201.32/201.08 [4142]P107(f315(f41(x41421,x41422),f315(f315(f240(a893,a893),f315(f315(f29(a893),x41421),x41422)),f38(a893,x41421,x41422))))
% 201.32/201.08 [4154]P107(f315(f315(f223(f901(f900(f894(x41541),f894(x41541)),a891)),f146(x41541,f295(x41541,x41542))),f295(f894(x41541),f146(x41541,x41542))))
% 201.32/201.08 [4370]E(f315(f315(f247(f900(a88,a88),a88,f900(a88,a88),f900(x43701,f900(a88,a88))),f255(f315(f154(a88),f315(f315(f143(f900(a88,x43701),a88),f239(a88,x43701)),x43702)))),f315(f315(f10(x43701,f901(f900(a88,a88),f900(x43701,f900(a88,a88))),a88),f240(x43701,f900(a88,a88))),f256(x43701,x43702))),f254(x43701,x43702))
% 201.32/201.08 [4447]E(f212(a893,f900(x44471,f895(x44471)),f2(a893),f315(f245(x44471,f895(x44471),a893),f315(f18(f901(f895(x44471),a893),x44471),f315(f315(f9(f895(x44471),a893,a893),f315(f315(f10(a893,f901(a893,a893),f895(x44471)),f73(a893)),f178(f895(x44471)))),f71(a893)))),f315(f124(x44471),x44472)),f315(f178(f895(x44471)),x44472))
% 201.32/201.08 [4553]E(f315(f245(f901(f900(x45531,x45531),a891),f901(f900(x45531,x45531),a891),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f315(f315(f9(f901(f900(x45531,x45531),a891),f901(f901(f900(x45531,x45531),a891),f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891))),f901(f901(f900(x45531,x45531),a891),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891))))),f315(f315(f10(f901(f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891)),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f901(f901(f901(f900(x45531,x45531),a891),f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891))),f901(f901(f900(x45531,x45531),a891),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891))))),f901(f900(x45531,x45531),a891)),f10(f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891)),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891))),f901(f900(x45531,x45531),a891))),f315(f315(f10(f901(f901(x45532,x45531),f901(f901(f900(x45532,x45532),a891),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f901(f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891)),f901(f901(x45532,x45531),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f901(f900(x45531,x45531),a891)),f20(f901(x45532,x45531),f901(f900(x45532,x45532),a891),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f315(f315(f10(f901(f901(x45532,x45531),f901(f900(x45532,x45532),a891)),f901(f901(x45532,x45531),f901(f901(f900(x45532,x45532),a891),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f901(f900(x45531,x45531),a891)),f315(f10(f901(f900(x45532,x45532),a891),f901(f901(f900(x45532,x45532),a891),f900(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891))),f901(x45532,x45531)),f240(f901(f900(x45532,x45532),a891),f901(f900(x45532,x45532),a891)))),f276(x45531,x45532))))),f276(x45531,x45532))),f67(x45531,x45532))
% 201.32/201.08 [4598]~E(f315(f296(x45981),x45982),f177(f901(f901(x45981,a891),a891)))
% 201.32/201.08 [4607]~P107(f315(f315(f161(x46071),f102(x46071)),x46072))
% 201.32/201.08 [4611]~P107(f315(f315(f317(x46111),x46112),f177(f901(x46111,a891))))
% 201.32/201.08 [4619]~P107(f315(f315(f224(f901(x46191,a891)),x46192),f177(f901(x46191,a891))))
% 201.32/201.08 [3491]E(f315(f315(f3(a893),x34911),f315(f315(f73(a893),x34911),x34912)),f2(a893))
% 201.32/201.08 [3494]E(f315(f315(f99(f901(x34941,a891)),x34942),x34942),x34942)
% 201.32/201.08 [3495]E(f315(f315(f90(f901(x34951,a891)),x34952),x34952),x34952)
% 201.32/201.08 [3523]E(f315(f315(f3(f901(x35231,a891)),x35232),x35232),f177(f901(x35231,a891)))
% 201.32/201.08 [3526]E(f315(f132(x35261,x35262),f2(a893)),f177(f901(f900(f894(x35261),f894(x35261)),a891)))
% 201.32/201.08 [3527]E(f315(f315(f73(a893),x35271),f315(a101,x35272)),f315(a101,f315(f315(f73(a893),x35271),x35272)))
% 201.32/201.08 [3538]E(f183(f315(f89(a1),x35381),f315(f89(a1),x35382)),f315(f89(a1),f315(f315(f3(a893),x35381),x35382)))
% 201.32/201.08 [3541]E(f315(f315(f29(a1),f315(f72(a1),x35411)),x35412),f315(f315(f29(a1),x35411),f315(f72(a1),x35412)))
% 201.32/201.08 [3545]E(f315(f28(a1),f315(f290(a1,x35451),x35452)),f315(a93,f315(f315(f3(a1),x35452),x35451)))
% 201.32/201.08 [3548]E(f315(f315(f73(a893),f315(a101,x35481)),x35482),f315(a101,f315(f315(f73(a893),x35481),x35482)))
% 201.32/201.08 [3551]E(f315(f72(f901(x35511,a891)),f315(f72(f901(x35511,a891)),x35512)),x35512)
% 201.32/201.08 [3563]E(f168(x35631,f315(f315(f140(f894(x35631)),f102(x35631)),x35632)),f168(x35631,x35632))
% 201.32/201.08 [3567]E(f315(f315(f73(a893),x35671),f315(f315(f74(a893),x35671),x35672)),f315(f315(f74(a893),x35671),f315(a101,x35672)))
% 201.32/201.08 [3574]E(f315(f315(a4,f315(a5,x35741)),f315(a5,x35742)),f315(a5,f315(f315(f3(a893),x35741),x35742)))
% 201.32/201.08 [3589]E(f315(f315(f74(a1),f315(f72(a1),x35891)),x35892),f315(f72(a1),f315(f315(f74(a1),x35891),x35892)))
% 201.32/201.08 [3591]E(f315(f315(f232(a1),f315(f89(a1),x35911)),x35912),f315(f89(a1),f315(f315(f232(a893),x35911),x35912)))
% 201.32/201.08 [3592]E(f315(f315(f74(a88),f315(a5,x35921)),f315(a5,x35922)),f315(a5,f315(f315(f74(a893),x35921),x35922)))
% 201.32/201.08 [3593]E(f315(f315(f73(a88),f315(a5,x35931)),f315(a5,x35932)),f315(a5,f315(f315(f73(a893),x35931),x35932)))
% 201.32/201.08 [3594]E(f315(f315(f221(a893),f315(a101,x35941)),f315(a101,x35942)),f315(a101,f315(f315(f221(a893),x35941),x35942)))
% 201.32/201.08 [3595]E(f315(f315(f222(a893),f315(a101,x35951)),f315(a101,x35952)),f315(a101,f315(f315(f222(a893),x35951),x35952)))
% 201.32/201.08 [3600]E(f315(f161(a893),f128(a893,f315(f290(a893,x36001),x36002))),f315(f290(a893,x36001),x36002))
% 201.32/201.08 [3601]E(f300(x36011,f315(f315(f297(x36011),x36012),f177(f901(x36011,a891)))),x36012)
% 201.32/201.08 [3605]E(f315(f272(x36051,x36052),f177(f901(f900(x36051,x36052),a891))),f177(f901(x36052,a891)))
% 201.32/201.08 [3606]E(f315(f252(x36061,x36062),f177(f901(f900(x36061,x36062),a891))),f177(f901(x36061,a891)))
% 201.32/201.08 [3610]E(f315(a93,f315(f315(f3(a1),x36101),x36102)),f315(f28(a1),f293(a1,x36102,x36101)))
% 201.32/201.08 [3615]E(f315(f315(f73(a893),x36151),f315(f315(f74(a893),x36152),x36151)),f315(f315(f74(a893),f315(a101,x36152)),x36151))
% 201.32/201.08 [3617]E(f315(f315(f53(x36171),f177(f901(x36171,a891))),x36172),f177(f901(f901(x36171,a891),a891)))
% 201.32/201.08 [3626]E(f315(f178(f894(a893)),f128(a893,f315(f290(a893,x36261),x36262))),f315(f315(f3(a893),x36262),x36261))
% 201.32/201.08 [3641]E(f315(f315(f99(f901(x36411,a891)),f177(f901(x36411,a891))),x36412),x36412)
% 201.32/201.08 [3642]E(f315(f315(f90(f901(x36421,a891)),f230(f901(x36421,a891))),x36422),x36422)
% 201.32/201.08 [3645]E(f315(f315(f73(a1),f315(f72(a1),x36451)),f315(f72(a1),x36452)),f315(f72(a1),f315(f315(f73(a1),x36451),x36452)))
% 201.32/201.08 [3647]E(f315(f315(f74(a1),f315(f92(a1),x36471)),f315(f92(a1),x36472)),f315(f92(a1),f315(f315(f74(a1),x36471),x36472)))
% 201.32/201.08 [3649]E(f315(f315(f74(a1),f315(f89(a1),x36491)),f315(f89(a1),x36492)),f315(f89(a1),f315(f315(f74(a893),x36491),x36492)))
% 201.32/201.08 [3650]E(f315(f315(f73(a1),f315(f92(a1),x36501)),f315(f92(a1),x36502)),f315(f92(a1),f315(f315(f73(a1),x36501),x36502)))
% 201.32/201.08 [3652]E(f315(f315(f73(a1),f315(f89(a1),x36521)),f315(f89(a1),x36522)),f315(f89(a1),f315(f315(f73(a893),x36521),x36522)))
% 201.32/201.08 [3653]E(f315(f315(f29(a1),f315(f89(a1),x36531)),f315(f89(a1),x36532)),f315(f89(a1),f315(f315(f29(a893),x36531),x36532)))
% 201.32/201.08 [3672]E(f315(f315(f8(x36721,a893),f315(f18(a893,x36721),f71(a893))),x36722),f315(f28(x36721),x36722))
% 201.32/201.08 [3677]E(f315(f72(a1),f38(a1,f315(f72(a1),x36771),x36772)),f38(a1,x36771,f315(f72(a1),x36772)))
% 201.32/201.08 [3679]E(f315(f161(a1),f167(x36791,f315(f315(f3(a1),x36792),f71(a1)))),f315(f290(a1,x36791),x36792))
% 201.32/201.08 [3684]P107(f315(f315(f223(a893),x36841),f315(f315(f73(a893),x36842),x36841)))
% 201.32/201.08 [3685]P107(f315(f315(f223(a893),x36851),f315(f315(f73(a893),x36851),x36852)))
% 201.32/201.08 [3687]E(f315(f315(f99(f901(x36871,a891)),f230(f901(x36871,a891))),x36872),f230(f901(x36871,a891)))
% 201.32/201.08 [3688]E(f315(f315(f3(f901(x36881,a891)),f177(f901(x36881,a891))),x36882),f177(f901(x36881,a891)))
% 201.32/201.08 [3689]E(f315(f315(f90(f901(x36891,a891)),f177(f901(x36891,a891))),x36892),f177(f901(x36891,a891)))
% 201.32/201.08 [3696]E(f315(f315(f240(a1,a1),x36961),f315(f72(a1),x36962)),f315(a44,f315(f315(f240(a1,a1),x36961),x36962)))
% 201.32/201.08 [3697]E(f315(f290(a1,f315(f315(f73(a1),x36971),f71(a1))),x36972),f294(a1,x36971,x36972))
% 201.32/201.08 [3708]E(f315(f315(f74(a893),x37081),f315(f315(f29(a893),x37082),x37081)),f315(f315(f3(a893),x37082),f38(a893,x37082,x37081)))
% 201.32/201.08 [3709]E(f315(f315(f74(a1),x37091),f315(f315(f29(a1),x37092),x37091)),f315(f315(f3(a1),x37092),f38(a1,x37092,x37091)))
% 201.32/201.08 [3712]E(f315(f161(a1),f167(f315(f315(f73(a1),x37121),f71(a1)),x37122)),f293(a1,x37121,x37122))
% 201.32/201.08 [3716]P107(f315(f315(f223(f901(x37161,a891)),x37162),x37162))
% 201.32/201.08 [3719]E(f315(f315(f99(f901(x37191,a891)),x37192),f315(f72(f901(x37191,a891)),x37192)),f230(f901(x37191,a891)))
% 201.32/201.08 [3720]E(f315(f315(f90(f901(x37201,a891)),x37202),f315(f72(f901(x37201,a891)),x37202)),f177(f901(x37201,a891)))
% 201.32/201.08 [3728]E(f315(f315(f3(a893),f315(f315(f3(a893),x37281),f71(a893))),x37282),f315(f315(f3(a893),x37281),f315(a101,x37282)))
% 201.32/201.08 [3734]E(f315(f315(f3(f901(x37341,a891)),f230(f901(x37341,a891))),x37342),f315(f72(f901(x37341,a891)),x37342))
% 201.32/201.08 [3735]E(f315(f315(f3(a1),f315(f92(a1),x37351)),f315(f92(a1),x37352)),f315(f92(a1),f315(f315(f73(a1),x37351),f315(f72(a1),x37352))))
% 201.32/201.08 [3748]E(f315(f161(a893),f128(a893,f315(f290(a893,x37481),f315(a101,x37482)))),f291(a893,x37481,x37482))
% 201.32/201.08 [3764]E(f315(f178(f894(f894(x37641))),f47(x37641,x37642)),f315(f315(f232(a893),f315(a101,f315(a101,f2(a893)))),f315(f178(f894(x37641)),x37642)))
% 201.32/201.08 [3782]E(f315(f315(f172(f900(x37821,x37821),a891),f2(a893)),x37822),f295(x37821,f177(f901(f900(x37821,x37821),a891))))
% 201.32/201.08 [3786]P107(f315(f126(a893),f128(a893,f315(f290(a893,x37861),x37862))))
% 201.32/201.08 [3802]E(f315(f298(a1,a893,a93),f291(a1,f315(f89(a1),x38021),f315(f89(a1),x38022))),f291(a893,x38021,x38022))
% 201.32/201.08 [3811]E(f174(a893,f2(a893),f7(a893),f315(f315(f3(a893),x38111),x38112)),f315(f315(f3(a893),x38111),f315(a101,x38112)))
% 201.32/201.08 [3812]E(f315(a93,f315(f315(f3(a1),x38121),f315(f315(f73(a1),x38122),f71(a1)))),f315(f28(a1),f294(a1,x38122,x38121)))
% 201.32/201.08 [3847]E(f315(f315(f143(a893,a893),a101),f128(a893,f315(f290(a893,x38471),x38472))),f128(a893,f315(f290(a893,f315(a101,x38471)),f315(a101,x38472))))
% 201.32/201.08 [3855]E(f315(f161(a1),f167(f315(f315(f73(a1),x38551),f71(a1)),f315(f315(f3(a1),x38552),f71(a1)))),f294(a1,x38551,x38552))
% 201.32/201.08 [3867]P107(f315(f315(f223(f901(x38671,a891)),f177(f901(x38671,a891))),x38672))
% 201.32/201.08 [3871]E(f78(x38711,f315(f315(f9(x38711,x38711,a891),a312),x38712)),x38712)
% 201.32/201.08 [3872]E(f83(x38721,f315(f315(f9(x38721,x38721,a891),a312),x38722)),x38722)
% 201.32/201.08 [3876]E(f315(f161(a893),f128(a893,f315(f290(a893,f315(a101,x38761)),f315(a101,x38762)))),f293(a893,x38761,x38762))
% 201.32/201.08 [3902]E(f315(f315(f242(x39021,x39022),f230(f901(x39021,a891))),f315(f18(f901(x39022,a891),x39021),f230(f901(x39022,a891)))),f230(f901(f900(x39021,x39022),a891)))
% 201.32/201.08 [3935]E(f315(f250(x39351),f315(f315(f10(a891,a891,x39351),a310),x39352)),f315(f72(f901(x39351,a891)),f315(f250(x39351),x39352)))
% 201.32/201.08 [3938]E(f315(f250(x39381),f315(f315(f9(x39381,x39381,a891),a312),x39382)),f315(f315(f297(x39381),x39382),f177(f901(x39381,a891))))
% 201.32/201.08 [3945]E(f315(f315(f73(a1),f315(f315(f3(a1),x39451),x39452)),f315(f315(f3(a1),x39451),x39452)),f315(f315(f3(a1),f315(f315(f73(a1),x39451),x39451)),f315(f315(f73(a1),x39452),x39452)))
% 201.32/201.08 [3946]E(f315(f315(f73(a1),f315(f315(f73(a1),x39461),x39461)),f315(f315(f73(a1),x39462),x39462)),f315(f315(f73(a1),f315(f315(f73(a1),x39461),x39462)),f315(f315(f73(a1),x39461),x39462)))
% 201.32/201.08 [3962]P107(f315(f315(f223(a893),f315(f28(x39621),f315(f161(x39621),x39622))),f315(f178(f894(x39621)),x39622)))
% 201.32/201.08 [3963]P107(f315(f315(f223(a893),f315(f178(f894(x39631)),f141(x39631,x39632))),f315(f178(f894(x39631)),x39632)))
% 201.32/201.08 [3973]E(f315(f250(x39731),f315(f315(f9(x39731,f901(x39731,a891),a891),f317(x39731)),x39732)),x39732)
% 201.32/201.08 [3987]E(f315(f315(f164(x39871),f315(f315(f3(a893),f315(f178(f894(x39871)),x39872)),f71(a893))),x39872),f103(x39871,x39872))
% 201.32/201.08 [4007]E(f174(a893,f2(a893),f315(f315(f10(a893,a893,a893),a101),f315(f221(a893),x40071)),x40072),f315(f315(f221(a893),f315(a101,x40071)),x40072))
% 201.32/201.08 [4012]E(f30(f901(x40121,a891),f315(f298(f901(f900(x40121,x40121),a891),f901(x40121,a891),f269(x40121)),x40122)),f315(f269(x40121),f30(f901(f900(x40121,x40121),a891),x40122)))
% 201.32/201.08 [4013]E(f174(a893,f315(a101,x40131),f315(f315(f10(a893,a893,a893),a101),f315(f222(a893),x40131)),x40132),f315(f315(f222(a893),f315(a101,x40131)),x40132))
% 201.32/201.08 [4015]E(f315(f315(f240(a1,a1),f315(f315(f29(a1),f315(f69(a1),x40151)),f315(f69(a1),x40152))),f38(a1,f315(f69(a1),x40151),f315(f69(a1),x40152))),f46(x40151,x40152))
% 201.32/201.08 [4038]P107(f315(f315(f223(f901(f901(x40381,a891),a891)),x40382),f315(f296(x40381),f30(f901(x40381,a891),x40382))))
% 201.32/201.08 [4070]E(f315(f315(f33(x40701,f901(x40701,a891)),x40702),f315(f315(f9(x40701,f901(x40701,a891),f901(x40701,a891)),f297(x40701)),f177(f901(x40701,a891)))),x40702)
% 201.32/201.08 [4071]E(f315(f315(f277(x40711,x40711,x40711),f315(f274(x40711,x40711),x40712)),f295(x40711,f315(f274(x40711,x40711),x40712))),f315(f274(x40711,x40711),f315(f315(f277(x40711,x40711,x40711),x40712),f295(x40711,x40712))))
% 201.32/201.08 [4134]E(f315(f161(x41341),f315(f131(f894(x41341),f894(x41341),f123(x41341),f102(x41341)),x41342)),f315(f315(f33(f894(x41341),f901(x41341,a891)),f315(f161(f894(x41341)),x41342)),f161(x41341)))
% 201.32/201.08 [4165]E(f315(f315(f99(f901(f900(x41651,x41651),a891)),f295(x41651,f177(f901(f900(x41651,x41651),a891)))),f315(f315(f277(x41651,x41651,x41651),f295(x41651,x41652)),x41652)),f295(x41651,x41652))
% 201.32/201.08 [4201]E(f315(f315(f170(x42011,x42011),x42012),x42012),f315(f315(f143(x42011,f900(x42011,x42011)),f315(f315(f20(x42011,x42011,f900(x42011,x42011)),f240(x42011,x42011)),f7(x42011))),x42012))
% 201.32/201.08 [4312]E(f315(f131(a893,f894(x43121),f315(f9(f894(x43121),a893,a893),f315(f315(f10(a893,f901(a893,a893),f894(x43121)),f222(a893)),f178(f894(x43121)))),f2(a893)),f315(f157(f894(x43121)),x43122)),f315(f178(f894(f894(x43121))),f168(x43121,x43122)))
% 201.32/201.08 [4384]E(f315(f315(f276(f900(a893,f894(x43841)),f894(x43841)),f307(a893,f894(x43841),a228,f134(x43841,x43842))),f315(f315(f20(f894(x43841),f894(x43841),f900(a893,f894(x43841))),f315(f315(f10(a893,f901(f894(x43841),f900(a893,f894(x43841))),f894(x43841)),f240(a893,f894(x43841))),f178(f894(x43841)))),f7(f894(x43841)))),f135(x43841,x43842))
% 201.32/201.08 [4511]E(f315(f250(x45111),f315(f315(f10(f901(f901(x45111,a891),a891),a891,x45111),f80(f901(x45111,a891))),f315(f315(f10(f901(f901(x45111,a891),a891),f901(f901(x45111,a891),a891),x45111),f315(f20(f901(x45111,a891),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x45111,a891)),a313),f315(f315(f9(f901(x45111,a891),f901(f901(x45111,a891),a891),a891),f317(f901(x45111,a891))),x45112)))),f317(x45111)))),f30(f901(x45111,a891),x45112))
% 201.32/201.08 [4512]E(f315(f250(x45121),f315(f315(f10(f901(f901(x45121,a891),a891),a891,x45121),f81(f901(x45121,a891))),f315(f315(f10(f901(f901(x45121,a891),a891),f901(f901(x45121,a891),a891),x45121),f315(f20(f901(x45121,a891),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x45121,a891)),a318),f315(f315(f9(f901(x45121,a891),f901(f901(x45121,a891),a891),a891),f317(f901(x45121,a891))),x45122)))),f317(x45121)))),f31(f901(x45121,a891),x45122))
% 201.32/201.08 [4620]~P107(f315(f315(f224(a1),f315(f89(a1),x46201)),f315(f72(a1),f315(f89(a1),x46202))))
% 201.32/201.08 [3613]E(f315(f315(f3(a893),f315(f315(f73(a893),x36131),x36132)),x36132),x36131)
% 201.32/201.08 [3614]E(f315(f315(f3(a893),f315(f315(f73(a893),x36141),x36142)),x36141),x36142)
% 201.32/201.08 [3678]E(f315(f315(f73(a893),f315(f315(f3(a893),x36781),x36782)),x36782),f315(f315(f222(a893),x36781),x36782))
% 201.32/201.08 [3789]E(f315(f315(f74(a893),f315(f315(f29(a893),x37891),x37892)),x37892),f315(f315(f3(a893),x37891),f38(a893,x37891,x37892)))
% 201.32/201.08 [3816]E(f315(f161(a893),f128(a893,f315(f290(a893,f315(a101,x38161)),x38162))),f294(a893,x38161,x38162))
% 201.32/201.08 [3824]E(f315(f89(a1),f205(f315(a93,f315(f69(a1),x38241)),f315(a93,f315(f69(a1),x38242)))),f315(f315(a206,x38241),x38242))
% 201.32/201.08 [3826]E(f315(f315(f99(f901(x38261,a891)),f315(f72(f901(x38261,a891)),x38262)),x38262),f230(f901(x38261,a891)))
% 201.32/201.08 [3827]E(f315(f315(f90(f901(x38271,a891)),f315(f72(f901(x38271,a891)),x38272)),x38272),f177(f901(x38271,a891)))
% 201.32/201.08 [3843]P107(f315(f315(f223(a893),f315(f315(f3(a893),x38431),x38432)),x38431))
% 201.32/201.08 [3844]P107(f315(f315(f223(a893),f315(f315(f29(a893),x38441),x38442)),x38441))
% 201.32/201.08 [3868]P107(f315(f315(f224(a893),x38681),f315(a101,f315(f315(f73(a893),x38682),x38681))))
% 201.32/201.08 [3869]P107(f315(f315(f224(a893),x38691),f315(a101,f315(f315(f73(a893),x38691),x38692))))
% 201.32/201.08 [3886]E(f315(f315(f74(a893),f315(a93,f315(f69(a1),x38861))),f315(a93,f315(f69(a1),x38862))),f315(a93,f315(f69(a1),f315(f315(f74(a1),x38861),x38862))))
% 201.32/201.08 [3898]P107(f315(f315(f223(a1),f2(a1)),f315(f315(f232(a1),f315(f69(a1),x38981)),x38982)))
% 201.32/201.08 [3966]E(f315(f273(f894(x39661),f894(x39661),f147(x39661,x39662)),f315(f315(f297(f894(x39661)),f102(x39661)),f177(f901(f894(x39661),a891)))),f315(f315(f297(f894(x39661)),f102(x39661)),f177(f901(f894(x39661),a891))))
% 201.32/201.08 [3985]E(f315(f315(f99(f901(f900(x39851,x39851),a891)),f295(x39851,x39852)),f295(x39851,f177(f901(f900(x39851,x39851),a891)))),f295(x39851,x39852))
% 201.32/201.08 [3997]E(f315(f315(f29(a1),f315(f92(a1),f315(f315(f73(a1),x39971),x39971))),f315(f92(a1),f315(f315(f73(a1),x39972),x39972))),f315(f315(f29(a1),f315(f92(a1),x39971)),f315(f92(a1),x39972)))
% 201.32/201.08 [4060]E(f315(f315(f232(a1),x40601),f315(f92(a893),f315(f315(f73(a1),x40602),x40602))),f315(f315(f79(a1,a1),f315(f315(f232(a1),x40601),f315(f92(a893),x40602))),f315(f315(f20(a1,a1,a1),f74(a1)),f7(a1))))
% 201.32/201.08 [4066]E(f315(f250(f901(x40661,a891)),f315(f315(f9(f901(x40661,a891),f901(x40661,a891),a891),f223(f901(x40661,a891))),x40662)),f315(f296(x40661),x40662))
% 201.32/201.08 [4082]E(f315(f315(f143(a1,a893),a93),f315(f315(f123(a1),f315(f315(f143(a893,a1),f89(a1)),x40821)),f315(f315(f143(a893,a1),f89(a1)),x40822))),f315(f315(f123(a893),x40821),x40822))
% 201.32/201.08 [4112]E(f315(f298(a1,a1,f315(f315(f9(a1,a1,a1),f73(a1)),x41121)),f315(f290(a1,f2(a1)),f315(f315(f3(a1),x41122),x41121))),f315(f290(a1,x41121),x41122))
% 201.32/201.08 [4114]P55(x41141,f315(f315(f3(f901(f900(x41141,x41141),a891)),x41142),f295(x41141,f177(f901(f900(x41141,x41141),a891)))))
% 201.32/201.08 [4132]E(f315(f178(f894(x41321)),f315(f131(f894(x41321),f894(x41321),f123(x41321),f102(x41321)),x41322)),f315(f154(a893),f315(f315(f143(f894(x41321),a893),f178(f894(x41321))),x41322)))
% 201.32/201.08 [4136]P54(x41361,f230(f901(x41361,a891)),f315(f315(f99(f901(f900(x41361,x41361),a891)),x41362),f295(x41361,f177(f901(f900(x41361,x41361),a891)))))
% 201.32/201.08 [4181]E(f174(a893,f2(a893),f315(f315(f10(a893,a893,a893),a101),f315(f315(f9(a893,a893,a893),f221(a893)),x41811)),x41812),f315(f315(f221(a893),x41812),f315(a101,x41811)))
% 201.32/201.08 [4184]E(f174(a893,f315(a101,x41841),f315(f315(f10(a893,a893,a893),a101),f315(f315(f9(a893,a893,a893),f222(a893)),x41841)),x41842),f315(f315(f222(a893),x41842),f315(a101,x41841)))
% 201.32/201.08 [4187]E(f315(f298(x41871,f894(x41871),f315(f315(f9(x41871,f894(x41871),f894(x41871)),f140(x41871)),f102(x41871))),x41872),f163(x41871,x41872,f315(f315(f297(f894(x41871)),f102(x41871)),f177(f901(f894(x41871),a891)))))
% 201.32/201.08 [4189]E(f315(f315(f99(f901(f900(x41891,x41891),a891)),f315(f315(f277(x41891,x41891,x41891),x41892),f295(x41891,x41892))),f295(x41891,f177(f901(f900(x41891,x41891),a891)))),f295(x41891,x41892))
% 201.32/201.08 [4196]P107(f315(f315(f223(f901(f900(x41961,x41961),a891)),f251(x41961,x41962)),f315(f315(f242(x41961,x41961),x41962),f315(f18(f901(x41961,a891),x41961),x41962))))
% 201.32/201.08 [4199]E(f315(f298(a1,a893,a93),f315(f315(f99(f901(a1,a891)),f315(f298(a893,a1,f89(a1)),x41991)),f315(f298(a893,a1,f89(a1)),x41992))),f315(f315(f99(f901(a893,a891)),x41991),x41992))
% 201.32/201.08 [4200]E(f315(f298(a1,a893,a93),f315(f315(f90(f901(a1,a891)),f315(f298(a893,a1,f89(a1)),x42001)),f315(f298(a893,a1,f89(a1)),x42002))),f315(f315(f90(f901(a893,a891)),x42001),x42002))
% 201.32/201.08 [4203]E(f315(f250(x42031),f315(f315(f10(a891,a891,x42031),a310),f315(f315(f9(x42031,f901(x42031,a891),a891),f317(x42031)),x42032))),f315(f72(f901(x42031,a891)),x42032))
% 201.32/201.08 [4230]E(f315(f131(f894(x42301),f894(x42301),f123(x42301),f102(x42301)),f315(f315(f143(f894(x42301),f894(x42301)),f157(x42301)),f315(f157(f894(x42301)),x42302))),f315(f157(x42301),f315(f131(f894(x42301),f894(x42301),f123(x42301),f102(x42301)),x42302)))
% 201.32/201.08 [4256]E(f315(f315(f33(a893,f901(f900(x42561,x42561),a891)),f230(f901(a893,a891))),f315(f315(f9(a893,f901(f900(x42561,x42561),a891),f901(f900(x42561,x42561),a891)),f172(f900(x42561,x42561),a891)),x42562)),f295(x42561,x42562))
% 201.32/201.08 [4274]E(f78(x42741,f315(f315(f10(f901(x42741,a891),a891,x42741),f315(a312,x42742)),f315(f315(f9(x42741,f901(x42741,a891),f901(x42741,a891)),f297(x42741)),f177(f901(x42741,a891))))),f300(x42741,x42742))
% 201.32/201.08 [4282]E(f315(f178(f894(x42821)),f141(x42821,f315(f131(f894(x42821),f894(x42821),f123(x42821),f102(x42821)),x42822))),f315(f28(x42821),f315(f315(f33(f894(x42821),f901(x42821,a891)),f315(f161(f894(x42821)),x42822)),f161(x42821))))
% 201.32/201.08 [4296]E(f315(f315(f99(f901(f900(x42961,x42961),a891)),x42962),f315(f315(f277(x42961,x42961,x42961),f315(f315(f277(x42961,x42961,x42961),x42962),f295(x42961,x42962))),x42962)),f315(f315(f277(x42961,x42961,x42961),x42962),f295(x42961,x42962)))
% 201.32/201.08 [4320]P107(f315(f315(f223(f901(f900(x43201,x43201),a891)),f315(f315(f277(x43201,x43201,x43201),x43202),f295(x43201,x43202))),f315(f315(f242(x43201,x43201),f315(f269(x43201),x43202)),f315(f18(f901(x43201,a891),x43201),f315(f269(x43201),x43202)))))
% 201.32/201.08 [4361]E(f315(f250(f894(x43611)),f315(f315(f9(f894(x43611),f901(x43611,a891),a891),f315(f315(f10(f901(x43611,a891),f901(f901(x43611,a891),a891),f894(x43611)),f223(f901(x43611,a891))),f161(x43611))),x43612)),f150(x43611,x43612))
% 201.32/201.08 [4372]E(f315(f145(f894(x43721),x43721,f102(x43721),f315(f315(f10(f894(x43721),f901(f894(x43721),f894(x43721)),x43721),f315(f9(f894(x43721),f894(x43721),f894(x43721)),f123(x43721))),f315(f315(f9(x43721,f894(x43721),f894(x43721)),f140(x43721)),f102(x43721)))),x43722),f315(f156(x43721),x43722))
% 201.32/201.08 [4412]P26(f901(x44121,x44122),f901(f900(x44121,x44122),a891),f315(f315(f10(f901(f900(x44121,x44122),a891),f901(f900(x44121,x44122),a891),f901(x44121,x44122)),f250(f900(x44121,x44122))),f315(f315(f10(f901(x44121,f901(x44122,a891)),f901(f900(x44121,x44122),a891),f901(x44121,x44122)),f245(x44121,x44122,a891)),f315(f10(x44122,f901(x44122,a891),x44121),f315(f9(x44122,x44122,a891),a312)))),f230(f901(f901(x44121,x44122),a891)))
% 201.32/201.08 [4417]E(f38(a1,f315(f92(a1),f315(f315(f73(a1),x44171),x44171)),f315(f92(a1),f315(f315(f73(a1),x44172),x44172))),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a1,f315(f92(a1),x44171),f315(f92(a1),x44172))))
% 201.32/201.08 [4461]E(f315(f315(f33(x44611,f901(f900(x44611,x44611),a891)),x44612),f315(f315(f9(x44611,f901(f900(x44611,x44611),a891),f901(f900(x44611,x44611),a891)),f315(f315(f10(f900(x44611,x44611),f901(f901(f900(x44611,x44611),a891),f901(f900(x44611,x44611),a891)),x44611),f297(f900(x44611,x44611))),f315(f315(f20(x44611,x44611,f900(x44611,x44611)),f240(x44611,x44611)),f7(x44611)))),f177(f901(f900(x44611,x44611),a891)))),f251(x44611,x44612))
% 201.32/201.08 [4469]E(f191(x44691,f315(f315(f240(a1,a1),f315(f72(a1),f315(f315(f66(f900(a1,a1),a1,x44691,f239(a1,a1)),f201(x44691)),x44692))),f315(f315(f66(f900(a1,a1),a1,x44691,f244(a1,a1)),f201(x44691)),x44692))),f216(x44691,x44692))
% 201.32/201.08 [4550]E(f315(f250(f901(x45501,a891)),f315(f315(f10(f901(f901(x45501,a891),a891),a891,f901(x45501,a891)),f80(f901(x45501,a891))),f315(f315(f9(f901(x45501,a891),f901(f901(x45501,a891),a891),f901(f901(x45501,a891),a891)),f315(f315(f10(f901(f901(x45501,a891),f901(a891,a891)),f901(f901(f901(x45501,a891),a891),f901(f901(x45501,a891),a891)),f901(x45501,a891)),f20(f901(x45501,a891),a891,a891)),f315(f315(f10(f901(f901(x45501,a891),a891),f901(f901(x45501,a891),f901(a891,a891)),f901(x45501,a891)),f315(f10(a891,f901(a891,a891),f901(x45501,a891)),a313)),f315(f315(f9(f901(x45501,a891),f901(f901(x45501,a891),f901(x45501,a891)),f901(f901(x45501,a891),a891)),f315(f315(f10(f901(f901(x45501,a891),a891),f901(f901(f901(x45501,a891),f901(x45501,a891)),f901(f901(x45501,a891),a891)),f901(x45501,a891)),f10(f901(x45501,a891),a891,f901(x45501,a891))),a312)),f72(f901(x45501,a891)))))),f315(f315(f10(f901(f901(x45501,a891),a891),a891,f901(x45501,a891)),f315(f317(f901(x45501,a891)),x45502)),f296(x45501))))),f315(f296(x45501),f315(f72(f901(x45501,a891)),x45502)))
% 201.32/201.08 [4618]~E(f315(f315(f73(a1),x46181),x46181),f315(f315(f3(a1),f315(f315(f73(a1),x46182),x46182)),a86))
% 201.32/201.08 [4622]~P107(f315(f315(f224(a893),f315(f315(f73(a893),x46221),x46222)),x46222))
% 201.32/201.08 [4623]~P107(f315(f315(f224(a893),f315(f315(f73(a893),x46231),x46232)),x46231))
% 201.32/201.08 [3903]E(f315(f315(f3(a893),x39031),f315(f315(f74(a893),f315(f315(f29(a893),x39031),x39032)),x39032)),f38(a893,x39031,x39032))
% 201.32/201.08 [3904]E(f315(f315(f3(a1),x39041),f315(f315(f74(a1),f315(f315(f29(a1),x39041),x39042)),x39042)),f38(a1,x39041,x39042))
% 201.32/201.08 [3936]E(f315(f315(f143(a893,x39361),f315(f153(x39361),x39362)),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(x39361)),x39362)))),x39362)
% 201.32/201.08 [3993]E(f315(f273(x39931,x39931,f295(x39931,f177(f901(f900(x39931,x39931),a891)))),x39932),x39932)
% 201.32/201.08 [4117]E(f295(x41171,f315(f315(f99(f901(f900(x41171,x41171),a891)),x41172),f295(x41171,f177(f901(f900(x41171,x41171),a891))))),f295(x41171,x41172))
% 201.32/201.08 [4118]E(f295(x41181,f315(f315(f3(f901(f900(x41181,x41181),a891)),x41182),f295(x41181,f177(f901(f900(x41181,x41181),a891))))),f295(x41181,x41182))
% 201.32/201.08 [4168]E(f315(f315(f3(a1),f315(f315(f3(a1),f315(f315(f73(a1),x41681),x41681)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x41682),x41682)),a86)),f315(f315(f73(a1),f315(f315(f3(a1),x41681),x41682)),f315(f315(f3(a1),x41681),x41682)))
% 201.32/201.08 [4208]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f73(a1),x42081),x42082)),f315(f315(f73(a1),x42081),x42082))),a86),f315(f315(f73(a1),f315(f315(f73(a1),x42081),x42081)),f315(f315(f3(a1),f315(f315(f73(a1),x42082),x42082)),a86)))
% 201.32/201.08 [4233]E(f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),x42331),x42331)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x42332),x42332)),a86)),f315(f315(f73(a1),f315(f315(f73(a1),x42331),f315(f315(f3(a1),x42332),a86))),f315(f315(f73(a1),x42331),f315(f315(f3(a1),x42332),a86))))
% 201.32/201.08 [4244]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),x42441),x42442)),f315(f315(f3(a1),x42441),x42442))),a86),f315(f315(f3(a1),f315(f315(f3(a1),f315(f315(f73(a1),x42441),x42441)),a86)),f315(f315(f73(a1),x42442),x42442)))
% 201.32/201.08 [4245]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f73(a1),x42451),x42452)),f315(f315(f73(a1),x42451),x42452))),a86),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),x42451),x42451)),a86)),f315(f315(f73(a1),x42452),x42452)))
% 201.32/201.08 [4293]E(f315(f89(a1),f315(f315(f29(a893),f315(f315(f74(a893),f315(a93,f315(f69(a1),x42931))),f315(a93,f315(f69(a1),x42932)))),f205(f315(a93,f315(f69(a1),x42931)),f315(a93,f315(f69(a1),x42932))))),f207(x42931,x42932))
% 201.32/201.08 [4338]E(f315(f315(f247(f900(a88,a88),a88,f900(a88,a88),f900(x43381,f900(a88,a88))),f255(f315(a5,f315(f178(f894(x43381)),x43382)))),f315(f315(f10(x43381,f901(f900(a88,a88),f900(x43381,f900(a88,a88))),a88),f240(x43381,f900(a88,a88))),f315(f315(f10(a893,x43381,a88),f315(f153(x43381),x43382)),a22))),f263(x43381,x43382))
% 201.32/201.08 [4418]E(f315(f131(a893,f894(x44181),f315(f9(f894(x44181),a893,a893),f315(f315(f10(a893,f901(a893,a893),f894(x44181)),f222(a893)),f178(f894(x44181)))),f2(a893)),f315(f157(f894(x44181)),f168(x44181,x44182))),f315(f178(f894(f894(x44181))),f315(f125(f894(x44181),f315(f315(f10(a891,a891,f894(x44181)),a310),f315(f315(f9(f894(x44181),f894(x44181),a891),a312),f102(x44181)))),x44182)))
% 201.32/201.08 [4424]E(f315(f315(f33(a893,f901(x44241,a891)),f230(f901(a893,a891))),f315(f315(f9(a893,f901(a893,f901(x44241,a891)),f901(x44241,a891)),f315(f315(f10(f901(a893,a891),f901(f901(a893,f901(x44241,a891)),f901(x44241,a891)),a893),f33(a893,f901(x44241,a891))),f290(a893,f2(a893)))),x44242)),f315(f315(f33(a893,f901(x44241,a891)),f230(f901(a893,a891))),x44242))
% 201.32/201.08 [4446]P107(f315(f54(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),x44461)),f315(f315(f9(a893,a893,a891),f224(a893)),x44462)))))
% 201.32/201.08 [4558]E(f315(f250(f900(f894(x45581),f894(x45581))),f315(f245(f894(x45581),f894(x45581),a891),f315(f315(f20(f894(x45581),f901(f894(x45581),a891),f901(f894(x45581),a891)),f315(f315(f10(f901(f894(x45581),f901(a891,a891)),f901(f901(f894(x45581),a891),f901(f894(x45581),a891)),f894(x45581)),f20(f894(x45581),a891,a891)),f315(f315(f10(f901(f894(x45581),a891),f901(f894(x45581),f901(a891,a891)),f894(x45581)),f315(f10(a891,f901(a891,a891),f894(x45581)),a314)),f315(f315(f9(f894(x45581),f901(f894(x45581),a893),f901(f894(x45581),a891)),f315(f315(f10(f901(a893,a891),f901(f901(f894(x45581),a893),f901(f894(x45581),a891)),f894(x45581)),f10(a893,a891,f894(x45581))),f315(f315(f10(a893,f901(a893,a891),f894(x45581)),f224(a893)),f178(f894(x45581))))),f178(f894(x45581)))))),f315(f315(f20(f894(x45581),f901(f894(x45581),a891),f901(f894(x45581),a891)),f315(f315(f10(f901(f894(x45581),f901(a891,a891)),f901(f901(f894(x45581),a891),f901(f894(x45581),a891)),f894(x45581)),f20(f894(x45581),a891,a891)),f315(f315(f10(f901(f894(x45581),a891),f901(f894(x45581),f901(a891,a891)),f894(x45581)),f315(f10(a891,f901(a891,a891),f894(x45581)),a313)),f315(f315(f9(f894(x45581),f901(f894(x45581),a893),f901(f894(x45581),a891)),f315(f315(f10(f901(a893,a891),f901(f901(f894(x45581),a893),f901(f894(x45581),a891)),f894(x45581)),f10(a893,a891,f894(x45581))),f315(f315(f10(a893,f901(a893,a891),f894(x45581)),a312),f178(f894(x45581))))),f178(f894(x45581)))))),f315(f315(f9(f894(x45581),f901(f900(f894(x45581),f894(x45581)),a891),f901(f894(x45581),a891)),f315(f315(f10(f901(f894(x45581),f901(f901(f900(f894(x45581),f894(x45581)),a891),a891)),f901(f901(f900(f894(x45581),f894(x45581)),a891),f901(f894(x45581),a891)),f894(x45581)),f9(f894(x45581),f901(f900(f894(x45581),f894(x45581)),a891),a891)),f315(f315(f10(f901(f894(x45581),f900(f894(x45581),f894(x45581))),f901(f894(x45581),f901(f901(f900(f894(x45581),f894(x45581)),a891),a891)),f894(x45581)),f315(f10(f900(f894(x45581),f894(x45581)),f901(f901(f900(f894(x45581),f894(x45581)),a891),a891),f894(x45581)),f317(f900(f894(x45581),f894(x45581))))),f240(f894(x45581),f894(x45581))))),f134(x45581,x45582)))))),f135(x45581,x45582))
% 201.32/201.08 [4236]E(f315(f315(f73(a1),f315(f315(f73(a1),f315(f315(f74(a1),x42361),x42362)),f315(f315(f74(a1),x42361),x42362))),x42362),f315(f315(f74(a1),f315(f315(f3(a1),f315(f315(f73(a1),x42361),x42361)),a86)),x42362))
% 201.32/201.08 [4337]E(f315(a93,f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x43371),x43372)),f177(f901(f900(a893,a893),a891)))))),f315(f315(f3(a893),x43371),x43372))
% 201.32/201.08 [4341]E(f315(f315(f277(x43411,x43411,x43411),f315(f315(f99(f901(f900(x43411,x43411),a891)),x43412),f295(x43411,f177(f901(f900(x43411,x43411),a891))))),f295(x43411,f315(f315(f99(f901(f900(x43411,x43411),a891)),x43412),f295(x43411,f177(f901(f900(x43411,x43411),a891)))))),f295(x43411,x43412))
% 201.32/201.08 [4378]E(f256(x43781,f315(f125(f900(a88,x43781),f315(f245(a88,x43781,a891),f315(f315(f10(a891,f901(x43781,a891),a88),f18(a891,x43781)),f315(f224(a88),f2(a88))))),x43782)),f256(x43781,x43782))
% 201.32/201.08 [4379]E(f254(x43791,f315(f125(f900(a88,x43791),f315(f245(a88,x43791,a891),f315(f315(f10(a891,f901(x43791,a891),a88),f18(a891,x43791)),f315(f224(a88),f2(a88))))),x43792)),f254(x43791,x43792))
% 201.32/201.08 [4381]E(f315(f72(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x43811),x43812)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x43812),x43811)),f177(f901(f900(a893,a893),a891))))))
% 201.32/201.08 [4437]E(f315(f315(f276(f894(a893),x44371),f134(a893,a228)),f315(f315(f9(x44371,f894(f901(x44371,a893)),f894(a893)),f315(f315(f10(f901(f901(x44371,a893),a893),f901(f894(f901(x44371,a893)),f894(a893)),x44371),f143(f901(x44371,a893),a893)),f315(f9(f901(x44371,a893),x44371,a893),f7(f901(x44371,a893))))),x44372)),f142(x44371,x44372))
% 201.32/201.08 [4458]E(f315(f315(f79(a1,a893),f315(f92(a1),f315(f315(f73(a1),x44581),a86))),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f2(a893))),f315(f315(f10(a893,a893,a1),a101),f315(f315(f10(a893,a893,a1),f315(f221(a893),x44582)),a93)))),f315(f315(f221(a893),f315(a101,x44582)),f315(f92(a893),x44581)))
% 201.32/201.08 [4459]E(f315(f315(f79(a1,a893),f315(f92(a1),f315(f315(f73(a1),x44591),a86))),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f315(a101,x44592))),f315(f315(f10(a893,a893,a1),a101),f315(f315(f10(a893,a893,a1),f315(f222(a893),x44592)),a93)))),f315(f315(f222(a893),f315(a101,x44592)),f315(f92(a893),x44591)))
% 201.32/201.08 [4479]E(f315(f131(f894(x44791),f894(x44791),f123(x44791),f102(x44791)),f315(f315(f143(f894(x44791),f894(x44791)),f145(f894(x44791),x44791,f102(x44791),f315(f315(f10(f894(x44791),f901(f894(x44791),f894(x44791)),x44791),f18(f894(x44791),f894(x44791))),f315(f315(f9(x44791,f894(x44791),f894(x44791)),f140(x44791)),f102(x44791))))),x44792)),f315(f315(f143(f894(x44791),x44791),f130(x44791)),f315(f125(f894(x44791),f315(f315(f10(a891,a891,f894(x44791)),a310),f315(f315(f9(f894(x44791),f894(x44791),a891),a312),f102(x44791)))),x44792)))
% 201.32/201.08 [4541]E(f315(f245(a1,a1,a891),f315(f315(f9(a1,f901(a1,a891),f901(a1,a891)),f315(f315(f10(f901(a1,f901(a891,a891)),f901(f901(a1,a891),f901(a1,a891)),a1),f20(a1,a891,a891)),f315(f315(f10(f901(a1,a891),f901(a1,f901(a891,a891)),a1),f315(f10(a891,f901(a891,a891),a1),a313)),f315(f315(f10(f901(a1,a1),f901(a1,a891),a1),f315(f10(a1,a891,a1),f315(a312,x45411))),f315(f315(f10(a1,f901(a1,a1),a1),f73(a1)),f315(f74(a1),x45412)))))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),f315(a318,f315(f315(f224(a1),f2(a1)),x45412))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),f315(f315(f9(a1,a1,a891),f224(a1)),x45412))))),f315(f315(f10(a891,a891,a1),f315(a318,f315(a310,f315(f315(f224(a1),f2(a1)),x45412)))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f224(a1),x45412))),f315(f315(f9(a1,a1,a891),f223(a1)),f2(a1))))))),f42(x45411,x45412))
% 201.32/201.08 [4544]E(f315(f250(x45441),f315(f315(f10(f901(a893,a891),a891,x45441),f80(a893)),f315(f315(f9(x45441,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),x45441),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),x45441),f315(f10(a891,f901(a891,a891),a893),a313)),f315(f315(f9(x45441,f901(a893,x45441),f901(a893,a891)),f315(f315(f10(f901(x45441,a891),f901(f901(a893,x45441),f901(a893,a891)),x45441),f10(x45441,a891,a893)),a312)),f315(f153(x45441),x45442))))),f315(f315(f9(a893,a893,a891),f224(a893)),f315(f178(f894(x45441)),x45442))))),f315(f161(x45441),x45442))
% 201.32/201.08 [4351]E(f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),x43511),a86)),x43512)),f315(f315(f3(a1),f315(f315(f73(a1),x43511),a86)),x43512))),a86),f315(f315(f3(a1),f315(f315(f73(a1),x43511),x43511)),f315(f315(f3(a1),f315(f315(f73(a1),x43512),x43512)),a86)))
% 201.32/201.08 [4474]E(f315(f131(f894(f894(x44741)),f894(f894(x44741)),f123(f894(x44741)),f102(f894(x44741))),f315(f315(f143(f894(x44741),f894(f894(x44741))),f145(f894(f894(x44741)),x44741,f102(f894(x44741)),f315(f18(f901(f894(x44741),f894(f894(x44741))),x44741),f315(f315(f9(f894(x44741),f894(f894(x44741)),f894(f894(x44741))),f140(f894(x44741))),f102(f894(x44741)))))),x44742)),f315(f315(f143(f894(x44741),f894(x44741)),f160(x44741)),f315(f125(f894(x44741),f315(f315(f10(a891,a891,f894(x44741)),a310),f315(f315(f9(f894(x44741),f894(x44741),a891),a312),f102(x44741)))),x44742)))
% 201.32/201.08 [4484]E(f315(f315(f79(a1,a893),f315(f92(a1),f315(f315(f73(a1),x44841),a86))),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f2(a893))),f315(f315(f10(a893,a893,a1),a101),f315(f315(f9(a1,a893,a893),f315(f315(f10(a893,f901(a893,a893),a1),f221(a893)),a93)),x44842)))),f315(f315(f221(a893),f315(f92(a893),x44841)),f315(a101,x44842)))
% 201.32/201.08 [4485]E(f315(f315(f79(a1,a893),f315(f92(a1),f315(f315(f73(a1),x44851),a86))),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f315(a101,x44852))),f315(f315(f10(a893,a893,a1),a101),f315(f315(f9(a1,a893,a893),f315(f315(f10(a893,f901(a893,a893),a1),f222(a893)),a93)),x44852)))),f315(f315(f222(a893),f315(f92(a893),x44851)),f315(a101,x44852)))
% 201.32/201.08 [4473]E(f315(f245(x44731,x44731,a891),f315(f315(f20(x44731,a891,f901(x44731,a891)),f315(f315(f10(f901(x44731,f901(a891,a891)),f901(a891,f901(x44731,a891)),x44731),f9(x44731,a891,a891)),f315(f315(f10(f901(x44731,a891),f901(x44731,f901(a891,a891)),x44731),f315(f10(a891,f901(a891,a891),x44731),a313)),a312))),x44732)),f251(x44731,x44732))
% 201.32/201.08 [4518]E(f315(f315(f29(a893),x45181),f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x45182)),f315(f315(f29(a893),x45181),f315(a101,f315(a101,f315(a101,x45182)))))
% 201.32/201.08 [4519]E(f38(a893,x45191,f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x45192)),f38(a893,x45191,f315(a101,f315(a101,f315(a101,x45192)))))
% 201.32/201.08 [4520]E(f38(a893,f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x45201),x45202),f38(a893,f315(a101,f315(a101,f315(a101,x45201))),x45202))
% 201.32/201.08 [4532]E(f112(f315(x45321,f315(f315(f74(a88),f315(f92(a88),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x45322))),f315(f189(x45321),x45322))
% 201.32/201.08 [4533]E(f315(f315(f29(a893),f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),x45331)),x45332),f315(f315(f29(a893),f315(a101,f315(a101,f315(a101,x45331)))),x45332))
% 201.32/201.08 [4585]~E(f115(x45851,x45852,x45853),f108(x45851))
% 201.32/201.08 [3341]E(f315(f181(x33411,x33412),x33413),f110(x33411,x33412))
% 201.32/201.08 [3360]E(f315(f188(x33601,x33602),x33603),f315(f118(x33601),x33602))
% 201.32/201.08 [3436]E(f315(f315(f143(x34361,x34362),x34363),f102(x34361)),f102(x34362))
% 201.32/201.08 [3475]E(f315(f173(x34751,x34752,x34753),f2(a893)),x34752)
% 201.32/201.08 [3477]E(f315(f315(f170(x34771,x34772),x34773),f102(x34772)),f102(f900(x34771,x34772)))
% 201.32/201.08 [3492]E(f315(f178(f894(x34921)),f158(x34921,x34922,x34923)),x34922)
% 201.32/201.08 [3511]E(f78(x35111,f55(x35111,x35112,x35113)),f315(f56(x35111,x35112),x35113))
% 201.32/201.08 [3515]E(f231(x35151,x35152,f231(x35152,x35151,x35153)),x35153)
% 201.32/201.08 [3535]E(f315(f157(x35351),f158(x35351,x35352,x35353)),f158(x35351,x35352,x35353))
% 201.32/201.08 [3560]E(f129(x35601,x35602,f141(x35601,x35603)),f141(x35601,f129(x35601,x35602,x35603)))
% 201.32/201.08 [3579]E(f315(f239(f894(x35791),f894(x35791)),f155(x35791,x35792,x35793)),f315(f125(x35791,x35792),x35793))
% 201.32/201.08 [3622]E(f315(f315(f140(x36221),x36222),f158(x36221,x36223,x36222)),f158(x36221,f315(a101,x36223),x36222))
% 201.32/201.08 [3654]E(f19(x36541,x36542,x36543,f2(a88)),x36542)
% 201.32/201.08 [3655]E(f21(x36551,x36552,x36553,f2(a88)),x36552)
% 201.32/201.08 [3656]E(f174(x36561,x36562,x36563,f2(a893)),x36562)
% 201.32/201.08 [3663]E(f152(x36631,x36632,x36633,f102(x36631)),f102(x36632))
% 201.32/201.08 [3664]E(f119(x36641,x36642,x36643,f108(x36641)),f108(x36642))
% 201.32/201.08 [3670]E(f315(f315(f153(x36701),f315(f315(f140(x36701),x36702),x36703)),f2(a893)),x36702)
% 201.32/201.08 [3698]E(f52(x36981,x36982,f102(x36981),x36983),f102(f900(x36981,x36982)))
% 201.32/201.08 [3718]P26(x37181,x37182,x37183,f177(f901(x37181,a891)))
% 201.32/201.08 [3820]E(f253(x38201,x38202,x38203),f315(f240(f901(a88,f901(a891,f897(f895(x38201)))),f900(a88,a88)),f34(x38201)))
% 201.32/201.08 [3877]E(f315(f66(x38771,x38772,x38771,x38773),f25(x38771)),x38773)
% 201.32/201.08 [4052]P107(f315(f315(f317(f900(x40521,x40521)),f315(f315(f240(x40521,x40521),x40522),x40522)),f295(x40521,x40523)))
% 201.32/201.08 [4628]~P107(f315(f315(f317(f900(f894(x46281),f894(x46281))),f315(f315(f240(f894(x46281),f894(x46281)),x46282),f102(x46281))),f134(x46281,x46283)))
% 201.32/201.08 [4629]~P107(f315(f315(f317(f900(f894(x46291),f894(x46291))),f315(f315(f240(f894(x46291),f894(x46291)),x46292),f102(x46291))),f136(x46291,x46293)))
% 201.32/201.08 [4630]~P107(f315(f315(f317(f900(f894(x46301),f894(x46301))),f315(f315(f240(f894(x46301),f894(x46301)),x46302),f102(x46301))),f146(x46301,x46303)))
% 201.32/201.08 [4631]~P107(f315(f315(f317(f900(f894(x46311),f894(x46311))),f315(f315(f240(f894(x46311),f894(x46311)),f102(x46311)),x46312)),f134(x46311,x46313)))
% 201.32/201.08 [4632]~P107(f315(f315(f317(f900(f894(x46321),f894(x46321))),f315(f315(f240(f894(x46321),f894(x46321)),f102(x46321)),x46322)),f146(x46321,x46323)))
% 201.32/201.08 [3411]E(f315(f315(f190(x34111),x34112),x34113),f191(x34111,f204(x34112,x34113)))
% 201.32/201.08 [3464]E(f315(f274(x34641,x34642),f315(f274(x34642,x34641),x34643)),x34643)
% 201.32/201.08 [3487]E(f315(f315(f170(x34871,x34872),f102(x34871)),x34873),f102(f900(x34871,x34872)))
% 201.32/201.08 [3490]E(f165(x34901,x34902,f315(f270(a893),x34903)),f315(f315(f164(x34901),x34903),x34902))
% 201.32/201.08 [3508]E(f141(x35081,f315(f125(x35081,x35082),x35083)),f315(f125(x35081,x35082),f141(x35081,x35083)))
% 201.32/201.08 [3509]E(f315(f272(x35091,x35092),f315(f274(x35092,x35091),x35093)),f315(f252(x35092,x35091),x35093))
% 201.32/201.08 [3510]E(f315(f252(x35101,x35102),f315(f274(x35102,x35101),x35103)),f315(f272(x35102,x35101),x35103))
% 201.32/201.08 [3528]E(f315(f125(x35281,x35282),f315(f157(x35281),x35283)),f315(f157(x35281),f315(f125(x35281,x35282),x35283)))
% 201.32/201.08 [3540]E(f315(f315(f127(x35401),x35402),f315(f160(x35401),x35403)),f315(f315(f127(x35401),f315(a101,x35402)),x35403))
% 201.32/201.08 [3556]E(f315(f298(x35561,x35562,x35563),f177(f901(x35561,a891))),f177(f901(x35562,a891)))
% 201.32/201.08 [3557]E(f315(f273(x35571,x35572,x35573),f177(f901(x35571,a891))),f177(f901(x35572,a891)))
% 201.32/201.08 [3558]E(f315(f299(x35581,x35582,x35583),f177(f901(x35582,a891))),f177(f901(x35581,a891)))
% 201.32/201.08 [3559]E(f315(f299(x35591,x35592,x35593),f230(f901(x35592,a891))),f230(f901(x35591,a891)))
% 201.32/201.08 [3585]E(f109(x35851,f115(f895(x35851),x35852,x35853)),f105(x35851,x35852,f109(x35851,x35853)))
% 201.32/201.08 [3587]E(f315(f315(f297(x35871),x35872),f315(f161(x35871),x35873)),f315(f161(x35871),f129(x35871,x35872,x35873)))
% 201.32/201.08 [3674]E(f315(f298(f900(x36741,x36742),x36742,f244(x36741,x36742)),x36743),f315(f272(x36741,x36742),x36743))
% 201.32/201.08 [3675]E(f315(f298(f900(x36751,x36752),x36751,f239(x36751,x36752)),x36753),f315(f252(x36751,x36752),x36753))
% 201.32/201.08 [3690]E(f315(f161(x36901),f158(x36901,f315(a101,x36902),x36903)),f315(f315(f297(x36901),x36903),f177(f901(x36901,a891))))
% 201.32/201.08 [3747]E(f315(f315(f240(x37471,x37472),f315(f239(x37471,x37472),x37473)),f315(f244(x37471,x37472),x37473)),x37473)
% 201.32/201.08 [3754]E(f315(f178(f895(x37541)),f115(x37541,x37542,x37543)),f315(f315(f73(a893),f315(f178(f895(x37541)),x37543)),f315(a101,f2(a893))))
% 201.32/201.08 [3756]E(f315(f315(f245(x37561,x37562,x37561),f18(x37561,x37562)),x37563),f315(f239(x37561,x37562),x37563))
% 201.32/201.08 [3882]E(f315(f66(x38821,x38821,x38822,f25(x38821)),x38823),x38823)
% 201.32/201.08 [3889]E(f315(f315(f123(x38891),f158(x38891,x38892,x38893)),f315(f315(f140(x38891),x38893),f102(x38891))),f315(f315(f140(x38891),x38893),f158(x38891,x38892,x38893)))
% 201.32/201.08 [4061]P107(f315(f315(f223(f901(x40611,a891)),f315(f161(x40611),f315(f125(x40611,x40612),x40613))),f315(f161(x40611),x40613)))
% 201.32/201.08 [4103]P107(f315(f315(f223(f901(x41031,a891)),f315(f161(x41031),f315(f315(f164(x41031),x41032),x41033))),f315(f161(x41031),x41033)))
% 201.32/201.08 [4104]P107(f315(f315(f223(f901(x41041,a891)),f315(f161(x41041),f315(f315(f127(x41041),x41042),x41043))),f315(f161(x41041),x41043)))
% 201.32/201.08 [4108]P107(f315(f315(f223(f901(x41081,a891)),f315(f161(x41081),f165(x41081,x41082,x41083))),f315(f161(x41081),x41082)))
% 201.32/201.08 [4109]P107(f315(f315(f223(f901(x41091,a891)),f315(f161(x41091),f159(x41091,x41092,x41093))),f315(f161(x41091),x41093)))
% 201.32/201.08 [4130]P26(f900(x41301,x41302),f900(x41302,x41301),f315(f245(x41301,x41302,f900(x41302,x41301)),f315(f9(x41302,x41301,f900(x41302,x41301)),f240(x41302,x41301))),x41303)
% 201.32/201.08 [4141]E(f315(f315(f315(f172(f894(x41411),f894(x41411)),f38(a893,x41412,f315(f178(f894(x41411)),x41413))),f156(x41411)),x41413),f315(f315(f315(f172(f894(x41411),f894(x41411)),x41412),f156(x41411)),x41413))
% 201.32/201.08 [4185]P107(f315(f315(f317(f900(f894(x41851),f894(x41851))),f315(f315(f240(f894(x41851),f894(x41851)),x41852),x41852)),f147(x41851,f295(x41851,x41853))))
% 201.32/201.08 [4324]E(f78(f900(x43241,x43242),f315(f315(f20(f900(x43241,x43242),x43242,a891),f315(f315(f10(x43241,f901(x43242,a891),f900(x43241,x43242)),x43243),f239(x43241,x43242))),f244(x43241,x43242))),f78(f900(x43241,x43242),f315(f245(x43241,x43242,a891),x43243)))
% 201.32/201.08 [4325]E(f83(f900(x43251,x43252),f315(f315(f20(f900(x43251,x43252),x43252,a891),f315(f315(f10(x43251,f901(x43252,a891),f900(x43251,x43252)),x43253),f239(x43251,x43252))),f244(x43251,x43252))),f83(f900(x43251,x43252),f315(f245(x43251,x43252,a891),x43253)))
% 201.32/201.08 [4358]E(f315(f315(f276(f900(a893,x43581),x43581),f307(a893,x43581,a228,x43582)),f315(f315(f20(x43581,x43581,f900(a893,x43581)),f315(f315(f10(a893,f901(x43581,f900(a893,x43581)),x43581),f240(a893,x43581)),x43583)),f7(x43581))),f309(x43581,x43583,x43582))
% 201.32/201.08 [4420]E(f315(f246(x44201,x44201,x44202,x44202,f7(x44201),f7(x44202)),x44203),x44203)
% 201.32/201.08 [4493]E(f315(f131(f894(f894(x44931)),f894(f894(x44931)),f123(f894(x44931)),f102(f894(x44931))),f315(f315(f143(f894(x44931),f894(f894(x44931))),f315(f315(f9(f894(x44931),f894(x44931),f894(f894(x44931))),f315(f315(f10(f901(x44931,f894(x44931)),f901(f894(x44931),f894(f894(x44931))),f894(x44931)),f143(x44931,f894(x44931))),f315(f9(x44931,f894(x44931),f894(x44931)),f140(x44931)))),x44932)),f48(x44931,x44933,x44932))),f48(x44931,f315(a101,x44933),x44932))
% 201.32/201.08 [4549]E(f212(a893,f900(x45491,f895(x45491)),f2(a893),f315(f245(x45491,f895(x45491),a893),f315(f315(f9(x45491,a893,f901(f895(x45491),a893)),f315(f315(f10(f901(f895(x45491),f901(a893,a893)),f901(a893,f901(f895(x45491),a893)),x45491),f9(f895(x45491),a893,a893)),f315(f315(f10(f901(f895(x45491),a893),f901(f895(x45491),f901(a893,a893)),x45491),f315(f10(a893,f901(a893,a893),f895(x45491)),f73(a893))),f315(f315(f9(x45491,f901(f895(x45491),a893),f901(f895(x45491),a893)),f315(f315(f10(f901(a893,a893),f901(f901(f895(x45491),a893),f901(f895(x45491),a893)),x45491),f10(a893,a893,f895(x45491))),f315(f315(f10(a893,f901(a893,a893),x45491),f73(a893)),x45492))),f114(x45491,x45492))))),f71(a893))),f315(f124(x45491),x45493)),f315(f114(x45491,x45492),x45493))
% 201.32/201.08 [4557]E(f315(f315(f79(a1,x45571),f207(f315(f315(f66(f900(a1,a1),a1,x45571,f244(a1,a1)),f201(x45571)),x45572),f315(f315(f66(f900(a1,a1),a1,x45571,f244(a1,a1)),f201(x45571)),x45573))),f315(f315(f20(a1,a1,x45571),f315(f315(f10(a1,f901(a1,x45571),a1),f190(x45571)),f315(f315(f20(a1,a1,a1),f315(f315(f10(a1,f901(a1,a1),a1),f73(a1)),f315(f315(f10(a1,a1,a1),f315(f74(a1),f315(f315(f66(f900(a1,a1),a1,x45571,f239(a1,a1)),f201(x45571)),x45572))),f315(f315(f9(a1,a1,a1),f29(a1)),f315(f315(f66(f900(a1,a1),a1,x45571,f244(a1,a1)),f201(x45571)),x45572))))),f315(f315(f10(a1,a1,a1),f315(f74(a1),f315(f315(f66(f900(a1,a1),a1,x45571,f239(a1,a1)),f201(x45571)),x45573))),f315(f315(f9(a1,a1,a1),f29(a1)),f315(f315(f66(f900(a1,a1),a1,x45571,f244(a1,a1)),f201(x45571)),x45573)))))),f7(a1))),f219(x45571,x45572,x45573))
% 201.32/201.08 [4580]~E(f315(f315(f140(x45801),x45802),x45803),x45803)
% 201.32/201.08 [4583]~E(f315(f315(f140(x45831),x45832),x45833),f102(x45831))
% 201.32/201.08 [4589]~E(f315(f315(f297(x45891),x45892),x45893),f177(f901(x45891,a891)))
% 201.32/201.08 [4609]~E(f315(f298(x46091,f901(x46091,a891),x46092),x46093),f315(f296(x46091),x46093))
% 201.32/201.08 [3469]E(f315(f315(f148(x34691,f102(x34691)),x34692),x34693),f102(x34691))
% 201.32/201.08 [3470]E(f315(f130(x34701),f315(f315(f140(x34701),x34702),x34703)),x34702)
% 201.32/201.08 [3471]E(f315(f160(x34711),f315(f315(f140(x34711),x34712),x34713)),x34713)
% 201.32/201.08 [3514]E(f315(f315(f127(x35141),f71(a893)),f315(f315(f140(x35141),x35142),x35143)),x35143)
% 201.32/201.08 [3547]E(f103(x35471,f315(f315(f127(x35471),x35472),x35473)),f315(f315(f127(x35471),x35472),f103(x35471,x35473)))
% 201.32/201.08 [3549]E(f315(f315(f148(x35491,x35492),x35493),f315(f315(f153(x35491),x35492),x35493)),x35492)
% 201.32/201.08 [3569]E(f315(f315(f297(x35691),x35692),f315(f315(f297(x35691),x35692),x35693)),f315(f315(f297(x35691),x35692),x35693))
% 201.32/201.08 [3582]E(f315(f315(f297(x35821),x35822),f315(f161(x35821),x35823)),f315(f161(x35821),f315(f315(f140(x35821),x35822),x35823)))
% 201.32/201.08 [3584]E(f315(f315(f127(x35841),x35842),f315(f160(x35841),x35843)),f315(f160(x35841),f315(f315(f127(x35841),x35842),x35843)))
% 201.32/201.08 [3596]E(f315(f315(f164(x35961),f71(a893)),f315(f315(f140(x35961),x35962),x35963)),f315(f315(f140(x35961),x35962),f102(x35961)))
% 201.32/201.08 [3639]E(f315(f56(x36391,x36392),f315(f315(f297(x36391),x36393),f177(f901(x36391,a891)))),x36393)
% 201.32/201.08 [3680]E(f315(f315(f73(a893),x36801),f315(f315(f73(a893),x36802),x36803)),f315(f315(f73(a893),x36802),f315(f315(f73(a893),x36801),x36803)))
% 201.32/201.08 [3681]E(f315(f315(f73(a1),x36811),f315(f315(f73(a1),x36812),x36813)),f315(f315(f73(a1),x36812),f315(f315(f73(a1),x36811),x36813)))
% 201.32/201.08 [3686]E(f315(f315(f242(x36861,x36862),f177(f901(x36861,a891))),x36863),f177(f901(f900(x36861,x36862),a891)))
% 201.32/201.08 [3710]E(f315(f315(f99(f901(x37101,a891)),x37102),x37103),f315(f315(f99(f901(x37101,a891)),x37103),x37102))
% 201.32/201.08 [3711]E(f315(f315(f90(f901(x37111,a891)),x37112),x37113),f315(f315(f90(f901(x37111,a891)),x37113),x37112))
% 201.32/201.08 [3713]E(f315(f315(f123(x37131),x37132),f315(f315(f140(x37131),x37133),f102(x37131))),f315(f156(x37131),f315(f315(f140(x37131),x37133),x37132)))
% 201.32/201.08 [3714]E(f315(f315(f123(x37141),f315(f157(x37141),x37142)),f315(f157(x37141),x37143)),f315(f157(x37141),f315(f315(f123(x37141),x37143),x37142)))
% 201.32/201.08 [3724]E(f315(f160(x37241),f315(f315(f164(x37241),f315(a101,x37242)),x37243)),f315(f315(f164(x37241),x37242),f315(f160(x37241),x37243)))
% 201.32/201.08 [3732]P107(f315(f315(f317(x37321),x37322),f315(f315(f297(x37321),x37322),x37323)))
% 201.32/201.08 [3736]E(f315(f315(f32(x37361,f901(x37362,a891)),f177(f901(x37361,a891))),x37363),f230(f901(x37362,a891)))
% 201.32/201.08 [3739]E(f315(f273(x37391,x37391,f251(x37391,x37392)),x37393),f315(f315(f90(f901(x37391,a891)),x37392),x37393))
% 201.32/201.08 [3753]E(f315(f178(f894(x37531)),f315(f315(f140(x37531),x37532),x37533)),f315(f315(f73(a893),f315(f178(f894(x37531)),x37533)),f315(a101,f2(a893))))
% 201.32/201.08 [3758]E(f103(x37581,f315(f315(f123(x37581),x37582),f315(f315(f140(x37581),x37583),f102(x37581)))),x37582)
% 201.32/201.08 [3759]E(f133(x37591,f315(f315(f123(x37591),x37592),f315(f315(f140(x37591),x37593),f102(x37591)))),x37593)
% 201.32/201.08 [3767]E(f315(f315(f123(x37671),f315(f315(f164(x37671),x37672),x37673)),f315(f315(f127(x37671),x37672),x37673)),x37673)
% 201.32/201.08 [3776]E(f315(f315(f3(a893),f315(f315(f73(a893),x37761),x37762)),f315(f315(f73(a893),x37763),x37762)),f315(f315(f3(a893),x37761),x37763))
% 201.32/201.08 [3777]E(f315(f315(f3(a893),f315(f315(f73(a893),x37771),x37772)),f315(f315(f73(a893),x37771),x37773)),f315(f315(f3(a893),x37772),x37773))
% 201.32/201.08 [3783]E(f315(f315(f123(x37831),f315(f157(x37831),x37832)),f315(f315(f140(x37831),x37833),f102(x37831))),f315(f157(x37831),f315(f315(f140(x37831),x37833),x37832)))
% 201.32/201.08 [3785]E(f315(f315(f73(a893),f315(f178(f894(x37851)),x37852)),f315(f178(f894(x37851)),x37853)),f315(f178(f894(x37851)),f315(f315(f123(x37851),x37852),x37853)))
% 201.32/201.08 [3788]E(f315(f315(f73(a893),f315(f178(f894(x37881)),x37882)),f315(f178(f894(x37881)),x37883)),f315(f178(f894(x37881)),f162(x37881,x37882,x37883)))
% 201.32/201.08 [3795]E(f315(f315(f99(f901(x37951,a891)),f315(f161(x37951),x37952)),f315(f161(x37951),x37953)),f315(f161(x37951),f315(f315(f123(x37951),x37952),x37953)))
% 201.32/201.08 [3796]E(f38(a893,f315(f315(f74(a893),x37961),x37962),f315(f315(f74(a893),x37961),x37963)),f315(f315(f74(a893),x37961),f38(a893,x37962,x37963)))
% 201.32/201.08 [3808]E(f315(f315(f164(x38081),f315(f315(f3(a893),x38082),f71(a893))),f315(f160(x38081),x38083)),f315(f160(x38081),f315(f315(f164(x38081),x38082),x38083)))
% 201.32/201.08 [3813]E(f315(f315(f90(f901(x38131,a891)),x38132),f315(f72(f901(x38131,a891)),x38133)),f315(f315(f3(f901(x38131,a891)),x38132),x38133))
% 201.32/201.08 [3814]E(f315(f315(f3(f901(x38141,a891)),x38142),f315(f72(f901(x38141,a891)),x38143)),f315(f315(f90(f901(x38141,a891)),x38142),x38143))
% 201.32/201.08 [3836]E(f315(f315(f242(x38361,x38362),x38363),f315(f18(f901(x38362,a891),x38361),f177(f901(x38362,a891)))),f177(f901(f900(x38361,x38362),a891)))
% 201.32/201.08 [3838]E(f315(f315(f3(a893),f315(f315(f74(a893),x38381),x38382)),f315(f315(f74(a893),x38381),x38383)),f315(f315(f74(a893),x38381),f315(f315(f3(a893),x38382),x38383)))
% 201.32/201.08 [3839]E(f315(f315(f73(a893),f315(f315(f74(a893),x38391),x38392)),f315(f315(f74(a893),x38391),x38393)),f315(f315(f74(a893),x38391),f315(f315(f73(a893),x38392),x38393)))
% 201.32/201.08 [3840]E(f315(f315(f3(a1),f315(f315(f74(a1),x38401),x38402)),f315(f315(f74(a1),x38401),x38403)),f315(f315(f74(a1),x38401),f315(f315(f3(a1),x38402),x38403)))
% 201.32/201.08 [3841]E(f315(f315(f73(a1),f315(f315(f74(a1),x38411),x38412)),f315(f315(f74(a1),x38411),x38413)),f315(f315(f74(a1),x38411),f315(f315(f73(a1),x38412),x38413)))
% 201.32/201.08 [3842]E(f315(f315(f74(a1),f315(f315(f232(a1),x38421),x38422)),f315(f315(f232(a1),x38421),x38423)),f315(f315(f232(a1),x38421),f315(f315(f73(a893),x38422),x38423)))
% 201.32/201.08 [3856]E(f315(f315(f33(x38561,f901(x38562,a891)),x38563),f315(f18(f901(x38562,a891),x38561),f177(f901(x38562,a891)))),f177(f901(x38562,a891)))
% 201.32/201.08 [3858]E(f38(a893,f315(f315(f74(a893),x38581),x38582),f315(f315(f74(a893),x38583),x38582)),f315(f315(f74(a893),f38(a893,x38581,x38583)),x38582))
% 201.32/201.08 [3863]E(f38(a1,f315(f315(f3(a1),x38631),f38(a1,x38632,x38633)),x38633),f38(a1,f315(f315(f3(a1),x38631),x38632),x38633))
% 201.32/201.08 [3864]E(f38(a1,f315(f315(f74(a1),x38641),f38(a1,x38642,x38643)),x38643),f38(a1,f315(f315(f74(a1),x38641),x38642),x38643))
% 201.32/201.08 [3865]P107(f315(f315(f223(f901(x38651,a891)),x38652),f315(f315(f297(x38651),x38653),x38652)))
% 201.32/201.08 [3940]E(f315(f315(f32(f901(x39401,a891),f901(x39401,a891)),x39402),f315(f99(f901(x39401,a891)),x39403)),f315(f315(f99(f901(x39401,a891)),x39403),f31(f901(x39401,a891),x39402)))
% 201.32/201.08 [3941]E(f315(f315(f33(f901(x39411,a891),f901(x39411,a891)),x39412),f315(f90(f901(x39411,a891)),x39413)),f315(f315(f90(f901(x39411,a891)),x39413),f30(f901(x39411,a891),x39412)))
% 201.32/201.08 [3953]E(f315(f161(x39531),f315(f315(f315(f172(f894(x39531),f894(x39531)),x39532),f156(x39531)),x39533)),f315(f161(x39531),x39533))
% 201.32/201.08 [3957]E(f315(f315(f164(x39571),f315(f178(f894(x39571)),f166(x39571,x39572,x39573))),x39573),f166(x39571,x39572,x39573))
% 201.32/201.08 [3961]E(f315(f178(f894(x39611)),f315(f315(f315(f172(f894(x39611),f894(x39611)),x39612),f156(x39611)),x39613)),f315(f178(f894(x39611)),x39613))
% 201.32/201.08 [3964]E(f315(f315(f245(x39641,x39642,x39642),f315(f18(f901(x39642,x39642),x39641),f7(x39642))),x39643),f315(f244(x39641,x39642),x39643))
% 201.32/201.08 [3970]E(f38(a1,f315(f315(f3(a1),f38(a1,x39701,x39702)),x39703),x39702),f38(a1,f315(f315(f3(a1),x39701),x39703),x39702))
% 201.32/201.08 [3971]E(f38(a1,f315(f315(f232(a1),f38(a1,x39711,x39712)),x39713),x39712),f38(a1,f315(f315(f232(a1),x39711),x39713),x39712))
% 201.32/201.08 [3974]E(f315(f315(f33(f901(f900(x39741,x39742),a891),f901(x39742,a891)),x39743),f272(x39741,x39742)),f315(f272(x39741,x39742),f30(f901(f900(x39741,x39742),a891),x39743)))
% 201.32/201.08 [3975]E(f315(f315(f33(f901(f900(x39751,x39752),a891),f901(x39751,a891)),x39753),f252(x39751,x39752)),f315(f252(x39751,x39752),f30(f901(f900(x39751,x39752),a891),x39753)))
% 201.32/201.08 [3998]E(f315(f66(x39981,x39981,x39981,x39982),f315(f315(f172(x39981,x39981),x39983),x39982)),f315(f315(f172(x39981,x39981),f315(a101,x39983)),x39982))
% 201.32/201.08 [4016]E(f315(f315(f127(x40161),f315(f315(f3(a893),f315(f178(f894(x40161)),x40162)),x40163)),f315(f157(x40161),x40162)),f315(f157(x40161),f315(f315(f164(x40161),x40163),x40162)))
% 201.32/201.08 [4017]E(f315(f315(f164(x40171),f315(f315(f3(a893),f315(f178(f894(x40171)),x40172)),x40173)),f315(f157(x40171),x40172)),f315(f157(x40171),f315(f315(f127(x40171),x40173),x40172)))
% 201.32/201.08 [4019]E(f315(f315(f73(a893),f315(f154(a893),f315(f315(f143(x40191,a893),x40192),x40193))),f315(f178(f894(x40191)),x40193)),f144(x40191,x40192,x40193))
% 201.32/201.08 [4039]E(f315(f156(x40391),f315(f315(f315(f172(f894(x40391),f894(x40391)),x40392),f156(x40391)),x40393)),f315(f315(f315(f172(f894(x40391),f894(x40391)),f315(a101,x40392)),f156(x40391)),x40393))
% 201.32/201.08 [4053]P107(f315(f315(f223(a893),f315(f178(f894(x40531)),f315(f125(x40531,x40532),x40533))),f315(f178(f894(x40531)),x40533)))
% 201.32/201.08 [4069]E(f315(f315(f99(f901(f901(x40691,a891),a891)),f315(f296(x40691),x40692)),f315(f298(f901(x40691,a891),f901(x40691,a891),f315(f297(x40691),x40693)),f315(f296(x40691),x40692))),f315(f296(x40691),f315(f315(f297(x40691),x40693),x40692)))
% 201.32/201.08 [4100]P107(f315(f315(f223(a893),f315(f178(f894(x41001)),f166(x41001,x41002,x41003))),f315(f178(f894(x41001)),x41003)))
% 201.32/201.08 [4107]E(f315(f252(x41071,x41072),f315(f250(f900(x41071,x41072)),f315(f245(x41071,x41072,a891),x41073))),f315(f250(x41071),f315(f315(f10(f901(x41072,a891),a891,x41071),f80(x41072)),x41073)))
% 201.32/201.08 [4119]E(f315(f298(a893,a893,f315(f315(f9(a893,a893,a893),f73(a893)),x41191)),f291(a893,x41192,x41193)),f291(a893,f315(f315(f73(a893),x41192),x41191),f315(f315(f73(a893),x41193),x41191)))
% 201.32/201.08 [4133]E(f315(f298(a893,a893,f315(f315(f9(a893,a893,a893),f73(a893)),x41331)),f315(f290(a893,x41332),x41333)),f315(f290(a893,f315(f315(f73(a893),x41332),x41331)),f315(f315(f73(a893),x41333),x41331)))
% 201.32/201.08 [4151]E(f315(f315(f170(x41511,x41512),f315(f315(f143(f900(x41511,x41512),x41511),f239(x41511,x41512)),x41513)),f315(f315(f143(f900(x41511,x41512),x41512),f244(x41511,x41512)),x41513)),x41513)
% 201.32/201.08 [4156]E(f315(f315(f73(a893),f315(f315(f74(a893),x41561),f38(a893,f315(f315(f29(a893),x41562),x41561),x41563))),f38(a893,x41562,x41561)),f38(a893,x41562,f315(f315(f74(a893),x41561),x41563)))
% 201.32/201.08 [4169]E(f315(f315(f123(x41691),x41692),f315(f131(f894(x41691),f894(x41691),f123(x41691),f102(x41691)),x41693)),f315(f131(f894(x41691),f894(x41691),f123(x41691),x41692),x41693))
% 201.32/201.08 [4190]P107(f315(f315(f317(f900(x41901,x41901)),f315(f315(f240(x41901,x41901),x41902),x41902)),f315(f315(f172(f900(x41901,x41901),a891),f2(a893)),x41903)))
% 201.32/201.08 [4195]E(f315(f250(x41951),f315(f315(f10(f901(x41952,a891),a891,x41951),f80(x41952)),f315(f9(x41952,x41951,a891),x41953))),f315(f272(x41952,x41951),f315(f250(f900(x41952,x41951)),f315(f245(x41952,x41951,a891),x41953))))
% 201.32/201.08 [4212]E(f315(f315(f99(f901(x42121,a891)),f315(f315(f33(a893,f901(x42121,a891)),f291(a893,f71(a893),x42122)),x42123)),f315(x42123,f2(a893))),f315(f315(f33(a893,f901(x42121,a891)),f315(f289(a893),x42122)),x42123))
% 201.32/201.08 [4227]E(f315(f131(f894(x42271),f894(x42271),f123(x42271),f102(x42271)),f315(f315(f143(f894(x42271),f894(x42271)),f125(x42271,x42272)),x42273)),f315(f125(x42271,x42272),f315(f131(f894(x42271),f894(x42271),f123(x42271),f102(x42271)),x42273)))
% 201.32/201.08 [4231]E(f315(f244(f894(x42311),f894(x42311)),f155(x42311,x42312,x42313)),f315(f125(x42311,f315(f66(a891,a891,x42311,a310),x42312)),x42313))
% 201.32/201.08 [4276]E(f315(f315(f73(a1),f315(f315(f73(a1),f315(f315(f74(a1),x42761),f315(f315(f29(a1),x42762),x42761))),f38(a1,x42762,x42761))),x42763),f315(f315(f73(a1),x42762),x42763))
% 201.32/201.08 [4313]E(f315(f315(f73(a1),f315(f315(f73(a1),f315(f315(f74(a1),f315(f315(f29(a1),x43131),x43132)),x43132)),f38(a1,x43131,x43132))),x43133),f315(f315(f73(a1),x43131),x43133))
% 201.32/201.08 [4339]E(f78(f900(x43391,x43392),f315(f245(x43391,x43392,a891),f315(f315(f10(f901(x43392,f900(x43391,x43392)),f901(x43392,a891),x43391),f315(f10(f900(x43391,x43392),a891,x43392),x43393)),f240(x43391,x43392)))),f78(f900(x43391,x43392),x43393))
% 201.32/201.08 [4340]E(f83(f900(x43401,x43402),f315(f245(x43401,x43402,a891),f315(f315(f10(f901(x43402,f900(x43401,x43402)),f901(x43402,a891),x43401),f315(f10(f900(x43401,x43402),a891,x43402),x43403)),f240(x43401,x43402)))),f83(f900(x43401,x43402),x43403))
% 201.32/201.08 [4367]P107(f315(f315(f223(f901(x43671,a891)),f30(f901(x43671,a891),f315(f315(f90(f901(f901(x43671,a891),a891)),x43672),x43673))),f315(f315(f90(f901(x43671,a891)),f30(f901(x43671,a891),x43672)),f30(f901(x43671,a891),x43673))))
% 201.32/201.08 [4368]E(f315(f157(x43681),f315(f315(f315(f172(f894(x43681),f894(x43681)),f315(f315(f3(a893),f315(f178(f894(x43681)),x43682)),f38(a893,x43683,f315(f178(f894(x43681)),x43682)))),f156(x43681)),x43682)),f315(f315(f315(f172(f894(x43681),f894(x43681)),x43683),f156(x43681)),f315(f157(x43681),x43682)))
% 201.32/201.08 [4405]P107(f315(f315(f223(a893),f315(f178(f894(x44051)),f315(f315(f127(x44051),f315(f178(f894(x44051)),f166(x44051,x44052,x44053))),x44053))),f315(f178(f894(x44051)),x44053)))
% 201.32/201.08 [4621]~P107(f315(f55(x46211,x46212,f177(f901(x46211,a891))),x46213))
% 201.32/201.08 [4627]~P107(f315(f315(f317(f900(x46271,x46271)),f315(f315(f240(x46271,x46271),x46272),x46273)),f142(x46271,f102(f901(x46271,a893)))))
% 201.32/201.08 [3725]E(f315(f178(f894(x37251)),f315(f315(f164(x37251),x37252),x37253)),f315(f315(f221(a893),f315(f178(f894(x37251)),x37253)),x37252))
% 201.32/201.08 [3726]E(f315(f178(f894(x37261)),f315(f315(f127(x37261),x37262),x37263)),f315(f315(f3(a893),f315(f178(f894(x37261)),x37263)),x37262))
% 201.32/201.08 [3752]E(f315(f178(f894(f894(x37521))),f48(x37521,x37522,x37523)),f315(f315(f232(a893),f315(f178(f894(x37521)),x37523)),x37522))
% 201.32/201.08 [3769]E(f315(f315(f29(a893),f315(f315(f29(a893),x37691),x37692)),x37693),f315(f315(f29(a893),x37691),f315(f315(f74(a893),x37692),x37693)))
% 201.32/201.08 [3770]E(f315(f315(f3(a893),f315(f315(f3(a893),x37701),x37702)),x37703),f315(f315(f3(a893),x37701),f315(f315(f73(a893),x37702),x37703)))
% 201.32/201.08 [3771]E(f315(f315(f74(a893),f315(f315(f74(a893),x37711),x37712)),x37713),f315(f315(f74(a893),x37711),f315(f315(f74(a893),x37712),x37713)))
% 201.32/201.08 [3772]E(f315(f315(f74(a1),f315(f315(f74(a1),x37721),x37722)),x37723),f315(f315(f74(a1),x37721),f315(f315(f74(a1),x37722),x37723)))
% 201.32/201.08 [3773]E(f315(f315(f73(a893),f315(f315(f73(a893),x37731),x37732)),x37733),f315(f315(f73(a893),x37731),f315(f315(f73(a893),x37732),x37733)))
% 201.32/201.08 [3774]E(f315(f315(f73(a1),f315(f315(f73(a1),x37741),x37742)),x37743),f315(f315(f73(a1),x37741),f315(f315(f73(a1),x37742),x37743)))
% 201.32/201.08 [3775]E(f315(f315(f232(a1),f315(f315(f232(a1),x37751),x37752)),x37753),f315(f315(f232(a1),x37751),f315(f315(f74(a893),x37752),x37753)))
% 201.32/201.08 [3794]E(f151(x37941,f315(f315(f140(f901(x37941,a891)),x37942),x37943)),f163(x37941,x37942,f151(x37941,x37943)))
% 201.32/201.08 [3837]E(f315(f315(f3(a893),f315(f315(f3(a893),x38371),x38372)),x38373),f315(f315(f3(a893),f315(f315(f3(a893),x38371),x38373)),x38372))
% 201.32/201.08 [3845]E(f315(f315(f90(f901(x38451,a891)),x38452),f315(f315(f3(f901(x38451,a891)),x38453),x38452)),f177(f901(x38451,a891)))
% 201.32/201.08 [3849]E(f315(f315(f143(a893,x38491),f315(f18(x38491,a893),x38492)),f128(a893,f315(f290(a893,f2(a893)),x38493))),f158(x38491,x38493,x38492))
% 201.32/201.08 [3887]E(f30(f901(x38871,a891),f315(f315(f297(f901(x38871,a891)),x38872),x38873)),f315(f315(f99(f901(x38871,a891)),x38872),f30(f901(x38871,a891),x38873)))
% 201.32/201.08 [3888]E(f31(f901(x38881,a891),f315(f315(f297(f901(x38881,a891)),x38882),x38883)),f315(f315(f90(f901(x38881,a891)),x38882),f31(f901(x38881,a891),x38883)))
% 201.32/201.08 [3890]E(f158(x38901,f315(f178(f894(x38901)),f315(f125(x38901,f315(a312,x38902)),x38903)),x38902),f315(f125(x38901,f315(a312,x38902)),x38903))
% 201.32/201.08 [3892]E(f315(f315(f3(a893),f315(f315(f74(a893),x38921),x38922)),f315(f315(f74(a893),x38923),x38922)),f315(f315(f74(a893),f315(f315(f3(a893),x38921),x38923)),x38922))
% 201.32/201.08 [3893]E(f315(f315(f73(a893),f315(f315(f74(a893),x38931),x38932)),f315(f315(f74(a893),x38933),x38932)),f315(f315(f74(a893),f315(f315(f73(a893),x38931),x38933)),x38932))
% 201.32/201.08 [3894]E(f315(f315(f3(a1),f315(f315(f74(a1),x38941),x38942)),f315(f315(f74(a1),x38943),x38942)),f315(f315(f74(a1),f315(f315(f3(a1),x38941),x38943)),x38942))
% 201.32/201.08 [3895]E(f315(f315(f73(a1),f315(f315(f74(a1),x38951),x38952)),f315(f315(f74(a1),x38953),x38952)),f315(f315(f74(a1),f315(f315(f73(a1),x38951),x38953)),x38952))
% 201.32/201.08 [3897]E(f315(f315(f221(a893),f315(f315(f3(a893),x38971),x38972)),f315(f315(f3(a893),x38973),x38972)),f315(f315(f3(a893),f315(f315(f221(a893),x38971),x38973)),x38972))
% 201.32/201.08 [3917]E(f315(f315(f90(f901(f894(x39171),a891)),f149(x39171,x39172)),f149(x39171,x39173)),f149(x39171,f315(f315(f90(f901(x39171,a891)),x39172),x39173)))
% 201.32/201.08 [3920]E(f315(f315(f99(f901(x39201,a891)),x39202),f315(f315(f99(f901(x39201,a891)),x39202),x39203)),f315(f315(f99(f901(x39201,a891)),x39202),x39203))
% 201.32/201.08 [3921]E(f315(f315(f99(f901(x39211,a891)),x39212),f315(f315(f3(f901(x39211,a891)),x39213),x39212)),f315(f315(f99(f901(x39211,a891)),x39212),x39213))
% 201.32/201.08 [3922]E(f315(f315(f90(f901(x39221,a891)),x39222),f315(f315(f90(f901(x39221,a891)),x39222),x39223)),f315(f315(f90(f901(x39221,a891)),x39222),x39223))
% 201.32/201.08 [3934]E(f315(f315(f277(x39341,x39342,x39342),x39343),f295(x39342,f177(f901(f900(x39342,x39342),a891)))),x39343)
% 201.32/201.08 [3937]E(f315(f315(f99(f901(x39371,a891)),f315(f315(f297(x39371),x39372),f177(f901(x39371,a891)))),x39373),f315(f315(f297(x39371),x39372),x39373))
% 201.32/201.08 [3956]E(f315(f315(f3(a893),f315(f315(f3(a893),f315(a101,x39561)),x39562)),f315(a101,x39563)),f315(f315(f3(a893),f315(f315(f3(a893),x39561),x39562)),x39563))
% 201.32/201.08 [3983]E(f315(f315(f90(f901(f901(x39831,a891),a891)),f315(f296(x39831),x39832)),f315(f296(x39831),x39833)),f315(f296(x39831),f315(f315(f90(f901(x39831,a891)),x39832),x39833)))
% 201.32/201.08 [3986]E(f315(f315(f99(f901(x39861,a891)),f315(f72(f901(x39861,a891)),x39862)),x39863),f315(f72(f901(x39861,a891)),f315(f315(f3(f901(x39861,a891)),x39862),x39863)))
% 201.32/201.08 [3995]E(f315(f315(f297(x39951),x39952),f315(f315(f3(f901(x39951,a891)),x39953),f315(f315(f297(x39951),x39952),f177(f901(x39951,a891))))),f315(f315(f297(x39951),x39952),x39953))
% 201.32/201.08 [4005]P107(f315(f315(f223(f901(x40051,a891)),x40052),f315(f315(f99(f901(x40051,a891)),x40053),x40052)))
% 201.32/201.08 [4006]P107(f315(f315(f223(f901(x40061,a891)),x40062),f315(f315(f99(f901(x40061,a891)),x40062),x40063)))
% 201.32/201.08 [4010]E(f315(f315(f90(f901(x40101,a891)),f315(f72(f901(x40101,a891)),x40102)),f315(f72(f901(x40101,a891)),x40103)),f315(f72(f901(x40101,a891)),f315(f315(f99(f901(x40101,a891)),x40102),x40103)))
% 201.32/201.08 [4011]E(f315(f315(f99(f901(x40111,a891)),f315(f72(f901(x40111,a891)),x40112)),f315(f72(f901(x40111,a891)),x40113)),f315(f72(f901(x40111,a891)),f315(f315(f90(f901(x40111,a891)),x40112),x40113)))
% 201.32/201.08 [4025]P107(f315(f315(f223(f901(x40251,a891)),f315(f161(x40251),x40252)),f315(f161(x40251),f315(f315(f140(x40251),x40253),x40252))))
% 201.32/201.08 [4037]E(f315(f315(f99(f901(x40371,a891)),f315(f315(f3(f901(x40371,a891)),x40372),x40373)),f315(f315(f90(f901(x40371,a891)),x40372),x40373)),x40372)
% 201.32/201.08 [4087]E(f315(f315(f8(x40871,a1),f315(f315(f10(a893,a1,x40871),f89(a1)),x40872)),x40873),f315(f89(a1),f315(f315(f8(x40871,a893),x40872),x40873)))
% 201.32/201.08 [4088]E(f315(f315(f11(x40881,a1),f315(f315(f10(a893,a1,x40881),f89(a1)),x40882)),x40883),f315(f89(a1),f315(f315(f11(x40881,a893),x40882),x40883)))
% 201.32/201.08 [4135]E(f315(f315(f123(x41351),f166(x41351,x41352,x41353)),f315(f315(f127(x41351),f315(f178(f894(x41351)),f166(x41351,x41352,x41353))),x41353)),x41353)
% 201.32/201.08 [4139]E(f315(f72(f901(f900(x41391,x41392),a891)),f315(f315(f242(x41391,x41392),x41393),f315(f18(f901(x41392,a891),x41391),f230(f901(x41392,a891))))),f315(f315(f242(x41391,x41392),f315(f72(f901(x41391,a891)),x41393)),f315(f18(f901(x41392,a891),x41391),f230(f901(x41392,a891)))))
% 201.32/201.08 [4140]E(f315(f72(f901(f900(x41401,x41402),a891)),f315(f315(f242(x41401,x41402),f230(f901(x41401,a891))),f315(f18(f901(x41402,a891),x41401),x41403))),f315(f315(f242(x41401,x41402),f230(f901(x41401,a891))),f315(f18(f901(x41402,a891),x41401),f315(f72(f901(x41402,a891)),x41403))))
% 201.32/201.08 [4191]E(f315(f315(f33(f901(x41911,a891),f901(x41911,a891)),x41912),f315(f315(f9(f901(x41911,a891),f901(x41911,a891),f901(x41911,a891)),f90(f901(x41911,a891))),x41913)),f315(f315(f90(f901(x41911,a891)),f30(f901(x41911,a891),x41912)),x41913))
% 201.32/201.08 [4197]E(f315(f131(f894(x41971),f894(x41971),f123(x41971),f102(x41971)),f315(f315(f140(f894(x41971)),x41972),x41973)),f315(f315(f123(x41971),x41972),f315(f131(f894(x41971),f894(x41971),f123(x41971),f102(x41971)),x41973)))
% 201.32/201.08 [4218]E(f315(f315(f297(f901(x42181,a891)),f315(f273(x42181,x42181,x42182),f315(f315(f297(x42181),x42183),f177(f901(x42181,a891))))),f177(f901(f901(x42181,a891),a891))),f315(f315(f53(x42181),f315(f315(f297(x42181),x42183),f177(f901(x42181,a891)))),x42182))
% 201.32/201.08 [4228]E(f315(f315(f73(a893),f315(f315(f74(a893),x42281),f315(f315(f29(a893),x42282),x42283))),f315(f315(f29(a893),f315(f315(f74(a893),x42281),f38(a893,x42282,x42283))),x42283)),f315(f315(f29(a893),f315(f315(f74(a893),x42281),x42282)),x42283))
% 201.32/201.08 [4229]E(f315(f315(f73(a1),f315(f315(f74(a1),x42291),f315(f315(f29(a1),x42292),x42293))),f315(f315(f29(a1),f315(f315(f74(a1),x42291),f38(a1,x42292,x42293))),x42293)),f315(f315(f29(a1),f315(f315(f74(a1),x42291),x42292)),x42293))
% 201.32/201.08 [4261]E(f315(f315(f3(f901(x42611,a891)),f315(f161(x42611),x42612)),f315(f315(f297(x42611),x42613),f177(f901(x42611,a891)))),f315(f161(x42611),f315(f125(x42611,f315(f315(f10(a891,a891,x42611),a310),f315(a312,x42613))),x42612)))
% 201.32/201.08 [4311]E(f315(f315(f123(x43111),f315(f131(f894(x43111),f894(x43111),f123(x43111),f102(x43111)),x43112)),f315(f131(f894(x43111),f894(x43111),f123(x43111),f102(x43111)),x43113)),f315(f131(f894(x43111),f894(x43111),f123(x43111),f102(x43111)),f315(f315(f123(f894(x43111)),x43112),x43113)))
% 201.32/201.08 [4314]E(f315(f315(f240(f894(x43141),f894(x43141)),f315(f125(x43141,x43142),x43143)),f315(f125(x43141,f315(f66(a891,a891,x43141,a310),x43142)),x43143)),f155(x43141,x43142,x43143))
% 201.32/201.08 [4317]E(f315(f315(f73(a893),f315(f315(f73(a893),f315(f315(f29(a893),x43171),x43172)),f315(f315(f29(a893),x43173),x43172))),f315(f315(f29(a893),f315(f315(f73(a893),f38(a893,x43171,x43172)),f38(a893,x43173,x43172))),x43172)),f315(f315(f29(a893),f315(f315(f73(a893),x43171),x43173)),x43172))
% 201.32/201.08 [4318]E(f315(f315(f73(a1),f315(f315(f73(a1),f315(f315(f29(a1),x43181),x43182)),f315(f315(f29(a1),x43183),x43182))),f315(f315(f29(a1),f315(f315(f73(a1),f38(a1,x43181,x43182)),f38(a1,x43183,x43182))),x43182)),f315(f315(f29(a1),f315(f315(f73(a1),x43181),x43183)),x43182))
% 201.32/201.08 [4371]E(f315(f315(f90(f901(f894(x43711),a891)),f315(f315(f9(f894(x43711),f901(f894(x43711),a891),a891),f317(f894(x43711))),f150(x43711,x43712))),f315(f315(f9(f894(x43711),f901(f894(x43711),a891),a891),f317(f894(x43711))),f150(x43711,x43713))),f149(x43711,f315(f315(f90(f901(x43711,a891)),f315(f315(f9(x43711,f901(x43711,a891),a891),f317(x43711)),x43712)),f315(f315(f9(x43711,f901(x43711,a891),a891),f317(x43711)),x43713))))
% 201.32/201.08 [4383]E(f315(f250(x43831),f315(f315(f20(x43831,a891,a891),f315(f315(f10(a891,f901(a891,a891),x43831),a314),f315(f315(f9(x43831,x43831,a891),a312),x43832))),f315(f315(f9(x43831,f901(x43831,a891),a891),f317(x43831)),x43833))),f315(f315(f297(x43831),x43832),x43833))
% 201.32/201.08 [4403]E(f315(f315(f79(f894(f894(x44031)),f894(f894(x44031))),f47(x44031,x44032)),f315(f315(f20(f894(f894(x44031)),f894(f894(x44031)),f894(f894(x44031))),f315(f315(f10(f894(f894(x44031)),f901(f894(f894(x44031)),f894(f894(x44031))),f894(f894(x44031))),f123(f894(x44031))),f315(f143(f894(x44031),f894(x44031)),f315(f140(x44031),x44033)))),f7(f894(f894(x44031))))),f47(x44031,f315(f315(f140(x44031),x44033),x44032)))
% 201.32/201.08 [4406]E(f315(f250(x44061),f315(f315(f20(x44061,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44061),a314),f315(f315(f9(x44061,f901(x44061,a891),a891),f317(x44061)),x44062))),f315(f315(f9(x44061,f901(x44061,a891),a891),f317(x44061)),x44063))),f315(f315(f99(f901(x44061,a891)),x44062),x44063))
% 201.32/201.08 [4407]E(f315(f250(x44071),f315(f315(f20(x44071,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44071),a313),f315(f315(f9(x44071,f901(x44071,a891),a891),f317(x44071)),x44072))),f315(f315(f9(x44071,f901(x44071,a891),a891),f317(x44071)),x44073))),f315(f315(f90(f901(x44071,a891)),x44072),x44073))
% 201.32/201.08 [4496]E(f315(f315(f33(x44961,f901(f901(x44961,a891),a891)),x44962),f315(f315(f9(x44961,f901(f901(x44961,a891),a891),f901(f901(x44961,a891),a891)),f315(f315(f10(f901(x44961,a891),f901(f901(f901(x44961,a891),a891),f901(f901(x44961,a891),a891)),x44961),f297(f901(x44961,a891))),f315(f315(f10(f901(x44961,a891),f901(x44961,a891),x44961),f273(x44961,x44961,x44963)),f315(f315(f9(x44961,f901(x44961,a891),f901(x44961,a891)),f297(x44961)),f177(f901(x44961,a891)))))),f177(f901(f901(x44961,a891),a891)))),f315(f315(f53(x44961),x44962),x44963))
% 201.32/201.08 [4498]E(f315(f315(f190(x44981),f315(f315(f74(a1),f315(f315(f66(f900(a1,a1),a1,x44981,f239(a1,a1)),f201(x44981)),x44982)),f315(f315(f66(f900(a1,a1),a1,x44981,f239(a1,a1)),f201(x44981)),x44983))),f315(f315(f74(a1),f315(f315(f66(f900(a1,a1),a1,x44981,f244(a1,a1)),f201(x44981)),x44982)),f315(f315(f66(f900(a1,a1),a1,x44981,f244(a1,a1)),f201(x44981)),x44983))),f217(x44981,x44982,x44983))
% 201.32/201.08 [4501]E(f315(f250(f894(x45011)),f315(f315(f20(f894(x45011),a891,a891),f315(f315(f10(a891,f901(a891,a891),f894(x45011)),a313),f315(f315(f9(f894(x45011),a893,a891),f315(f315(f10(a893,f901(a893,a891),f894(x45011)),a312),f178(f894(x45011)))),x45012))),f315(f315(f9(f894(x45011),f901(x45011,a891),a891),f315(f315(f10(f901(x45011,a891),f901(f901(x45011,a891),a891),f894(x45011)),f223(f901(x45011,a891))),f161(x45011))),f315(f161(x45011),x45013)))),f315(f161(f894(x45011)),f48(x45011,x45012,x45013)))
% 201.32/201.08 [3910]E(f38(a893,f315(f315(f73(a893),f315(f315(f74(a893),x39101),x39102)),x39103),x39102),f38(a893,x39103,x39102))
% 201.32/201.08 [3955]E(f128(a893,f315(f290(a893,f315(f315(f73(a893),x39551),x39552)),x39553)),f315(f315(f127(a893),x39552),f128(a893,f315(f290(a893,x39551),x39553))))
% 201.32/201.08 [3994]E(f315(f315(f73(a1),f315(f89(a1),x39941)),f315(f315(f73(a1),f315(f89(a1),x39942)),x39943)),f315(f315(f73(a1),f315(f89(a1),f315(f315(f73(a893),x39941),x39942))),x39943))
% 201.32/201.08 [4001]E(f315(f315(f99(f901(x40011,a891)),f315(f315(f3(f901(x40011,a891)),x40012),x40013)),x40013),f315(f315(f99(f901(x40011,a891)),x40012),x40013))
% 201.32/201.08 [4002]E(f315(f315(f3(f901(x40021,a891)),f315(f315(f3(f901(x40021,a891)),x40022),x40023)),x40023),f315(f315(f3(f901(x40021,a891)),x40022),x40023))
% 201.32/201.08 [4026]E(f315(f315(f277(x40261,x40261,x40262),f295(x40261,f177(f901(f900(x40261,x40261),a891)))),x40263),x40263)
% 201.32/201.08 [4034]E(f315(f315(f99(f901(x40341,a891)),f315(f269(x40341),x40342)),f315(f269(x40341),x40343)),f315(f269(x40341),f315(f315(f99(f901(f900(x40341,x40341),a891)),x40342),x40343)))
% 201.32/201.08 [4044]E(f254(x40441,f315(f315(f140(f900(a88,x40441)),f315(f315(f240(a88,x40441),f2(a88)),x40442)),x40443)),f254(x40441,x40443))
% 201.32/201.08 [4046]E(f315(f315(f99(f901(x40461,a891)),f30(f901(x40461,a891),x40462)),f30(f901(x40461,a891),x40463)),f30(f901(x40461,a891),f315(f315(f99(f901(f901(x40461,a891),a891)),x40462),x40463)))
% 201.32/201.08 [4047]E(f315(f315(f90(f901(x40471,a891)),f31(f901(x40471,a891),x40472)),f31(f901(x40471,a891),x40473)),f31(f901(x40471,a891),f315(f315(f99(f901(f901(x40471,a891),a891)),x40472),x40473)))
% 201.32/201.08 [4084]E(f315(f315(f277(x40841,x40841,x40841),f315(f315(f172(f900(x40841,x40841),a891),x40842),x40843)),x40843),f315(f315(f172(f900(x40841,x40841),a891),f315(a101,x40842)),x40843))
% 201.32/201.08 [4127]P107(f315(f315(f223(f901(x41271,a891)),f315(f315(f3(f901(x41271,a891)),x41272),x41273)),x41272))
% 201.32/201.08 [4128]P107(f315(f315(f223(f901(x41281,a891)),f315(f315(f90(f901(x41281,a891)),x41282),x41283)),x41283))
% 201.32/201.08 [4129]P107(f315(f315(f223(f901(x41291,a891)),f315(f315(f90(f901(x41291,a891)),x41292),x41293)),x41292))
% 201.32/201.08 [4153]E(f295(x41531,f315(f315(f99(f901(f900(x41531,x41531),a891)),f295(x41531,x41532)),f295(x41531,x41533))),f295(x41531,f315(f315(f99(f901(f900(x41531,x41531),a891)),x41532),x41533)))
% 201.32/201.08 [4157]E(f30(f901(x41571,a891),f315(f315(f297(f901(x41571,a891)),x41572),f315(f315(f297(f901(x41571,a891)),x41573),f177(f901(f901(x41571,a891),a891))))),f315(f315(f99(f901(x41571,a891)),x41572),x41573))
% 201.32/201.08 [4158]E(f31(f901(x41581,a891),f315(f315(f297(f901(x41581,a891)),x41582),f315(f315(f297(f901(x41581,a891)),x41583),f177(f901(f901(x41581,a891),a891))))),f315(f315(f90(f901(x41581,a891)),x41582),x41583))
% 201.32/201.08 [4163]E(f315(f315(f277(x41631,x41631,x41631),f315(f315(f172(f900(x41631,x41631),a891),x41632),x41633)),x41633),f315(f315(f277(x41631,x41631,x41631),x41633),f315(f315(f172(f900(x41631,x41631),a891),x41632),x41633)))
% 201.32/201.08 [4232]E(f315(f315(f99(f901(x42321,a891)),f315(f250(x42321),f315(f315(f9(x42321,x42321,a891),a312),x42322))),x42323),f315(f315(f297(x42321),x42322),x42323))
% 201.32/201.08 [4234]E(f315(a93,f315(f315(f8(x42341,a1),f315(f315(f10(a893,a1,x42341),f89(a1)),x42342)),x42343)),f315(f315(f8(x42341,a893),x42342),x42343))
% 201.32/201.08 [4235]E(f315(a93,f315(f315(f11(x42351,a1),f315(f315(f10(a893,a1,x42351),f89(a1)),x42352)),x42353)),f315(f315(f11(x42351,a893),x42352),x42353))
% 201.32/201.08 [4308]E(f315(f145(f894(x43081),x43081,f315(f160(x43081),x43082),f315(f18(f901(f894(x43081),f894(x43081)),x43081),f315(f315(f9(f894(x43081),f894(x43081),f894(x43081)),f123(x43081)),x43082))),x43083),f315(f160(x43081),f315(f315(f123(x43081),x43083),x43082)))
% 201.32/201.08 [4336]P107(f315(f315(f223(f901(f901(x43361,a891),a891)),f315(f315(f99(f901(f901(x43361,a891),a891)),f315(f296(x43361),x43362)),f315(f296(x43361),x43363))),f315(f296(x43361),f315(f315(f99(f901(x43361,a891)),x43362),x43363))))
% 201.32/201.08 [4425]E(f315(f250(x44251),f315(f315(f20(x44251,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44251),a313),f315(f315(f9(x44251,f901(x44251,a891),a891),f317(x44251)),x44252))),f315(f315(f10(a891,a891,x44251),a310),f315(f315(f9(x44251,f901(x44251,a891),a891),f317(x44251)),x44253)))),f315(f315(f3(f901(x44251,a891)),x44252),x44253))
% 201.32/201.08 [4449]E(f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,a893,a891),f224(a893)),f315(f178(f894(x44491)),x44492)))),f315(f315(f10(x44491,a891,a893),x44493),f315(f153(x44491),x44492))))),f315(f178(f894(x44491)),f315(f125(x44491,x44493),x44492)))
% 201.32/201.08 [4451]E(f315(f178(f894(x44511)),f165(x44511,x44512,x44513)),f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,a893,a891),f224(a893)),f315(f178(f894(x44511)),x44512)))),f315(f315(f9(a893,f901(a893,a891),a891),f317(a893)),x44513)))))
% 201.32/201.08 [4547]E(f315(f315(f90(f901(f900(f894(x45471),f894(x45471)),a891)),f315(f298(f900(f900(x45471,f894(x45471)),f900(x45471,f894(x45471))),f900(f894(x45471),f894(x45471)),f246(f900(x45471,f894(x45471)),f894(x45471),f900(x45471,f894(x45471)),f894(x45471),f315(f245(x45471,f894(x45471),f894(x45471)),f140(x45471)),f315(f245(x45471,f894(x45471),f894(x45471)),f140(x45471)))),f307(x45471,f894(x45471),x45472,f315(f132(x45471,x45472),x45473)))),f315(f250(f900(f894(x45471),f894(x45471))),f315(f245(f894(x45471),f894(x45471),a891),f315(f315(f9(f894(x45471),f901(f894(x45471),a891),f901(f894(x45471),a891)),f315(f315(f10(f901(a891,a891),f901(f901(f894(x45471),a891),f901(f894(x45471),a891)),f894(x45471)),f10(a891,a891,f894(x45471))),f315(f315(f10(a891,f901(a891,a891),f894(x45471)),a313),f315(f315(f9(f894(x45471),a893,a891),f315(f315(f10(a893,f901(a893,a891),f894(x45471)),a312),f178(f894(x45471)))),f315(a101,x45473))))),f315(f315(f9(f894(x45471),a893,a891),f315(f315(f10(a893,f901(a893,a891),f894(x45471)),a312),f178(f894(x45471)))),f315(a101,x45473)))))),f315(f132(x45471,x45472),f315(a101,x45473)))
% 201.32/201.08 [4048]E(f38(a893,f315(a101,f315(f315(f73(a893),f315(f315(f74(a893),x40481),x40482)),x40483)),x40482),f38(a893,f315(a101,x40483),x40482))
% 201.32/201.08 [4294]E(f315(f250(x42941),f315(f315(f20(x42941,a891,a891),f315(f315(f10(a891,f901(a891,a891),x42941),a313),x42942)),x42943)),f315(f315(f90(f901(x42941,a891)),f315(f250(x42941),x42942)),f315(f250(x42941),x42943)))
% 201.32/201.08 [4295]E(f315(f250(x42951),f315(f315(f20(x42951,a891,a891),f315(f315(f10(a891,f901(a891,a891),x42951),a314),x42952)),x42953)),f315(f315(f99(f901(x42951,a891)),f315(f250(x42951),x42952)),f315(f250(x42951),x42953)))
% 201.32/201.08 [4297]E(f315(f315(f123(x42971),f315(f315(f127(x42971),f38(a893,x42972,f315(f178(f894(x42971)),x42973))),x42973)),f315(f315(f164(x42971),f38(a893,x42972,f315(f178(f894(x42971)),x42973))),x42973)),f315(f315(f315(f172(f894(x42971),f894(x42971)),x42972),f156(x42971)),x42973))
% 201.32/201.08 [4303]E(f315(f250(x43031),f315(f315(f20(x43031,a891,a891),f315(f315(f10(a891,f901(a891,a891),x43031),a318),x43032)),x43033)),f315(f315(f99(f901(x43031,a891)),f315(f72(f901(x43031,a891)),f315(f250(x43031),x43032))),f315(f250(x43031),x43033)))
% 201.32/201.08 [4319]E(f315(f315(f73(a893),f315(f178(f894(x43191)),f315(f125(x43191,x43192),x43193))),f315(f178(f894(x43191)),f315(f125(x43191,f315(f315(f10(a891,a891,x43191),a310),x43192)),x43193))),f315(f178(f894(x43191)),x43193))
% 201.32/201.08 [4342]P107(f315(f315(f223(f901(x43421,a891)),f315(f315(f99(f901(x43421,a891)),f31(f901(x43421,a891),x43422)),f31(f901(x43421,a891),x43423))),f31(f901(x43421,a891),f315(f315(f90(f901(f901(x43421,a891),a891)),x43422),x43423))))
% 201.32/201.08 [4356]E(f315(f161(x43561),f315(f125(x43561,f315(f315(f10(a891,a891,x43561),a310),f315(f315(f9(x43561,x43561,a891),a312),x43562))),x43563)),f315(f315(f3(f901(x43561,a891)),f315(f161(x43561),x43563)),f315(f315(f297(x43561),x43562),f177(f901(x43561,a891)))))
% 201.32/201.08 [4365]P107(f315(f315(f223(f901(f900(x43651,x43651),a891)),f315(f315(f99(f901(f900(x43651,x43651),a891)),f295(x43651,x43652)),f295(x43651,x43653))),f295(x43651,f315(f315(f99(f901(f900(x43651,x43651),a891)),x43652),x43653))))
% 201.32/201.08 [4388]E(f315(f315(f74(a893),f315(a101,f315(a101,f2(a893)))),f315(f315(f8(a893,a893),f315(f315(f10(a893,a893,a893),f315(f73(a893),x43881)),f315(f315(f9(a893,a893,a893),f74(a893)),x43882))),f315(f270(a893),x43883))),f315(f315(f74(a893),x43883),f315(f315(f73(a893),x43881),f315(f315(f73(a893),x43881),f315(f315(f74(a893),f315(f315(f3(a893),x43883),f71(a893))),x43882)))))
% 201.32/201.08 [4398]E(f315(f250(x43981),f315(f315(f20(x43981,a891,a891),f315(f315(f10(a891,f901(a891,a891),x43981),a313),f315(f315(f9(x43981,f901(x43981,a891),a891),f317(x43981)),f315(f161(x43981),x43982)))),x43983)),f315(f161(x43981),f315(f125(x43981,x43983),x43982)))
% 201.32/201.08 [4546]E(f315(f250(x45461),f315(f315(f10(f901(a893,a891),a891,x45461),f80(a893)),f315(f315(f9(x45461,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),x45461),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),x45461),f315(f10(a891,f901(a891,a891),a893),a313)),f315(f315(f9(x45461,f901(a893,x45461),f901(a893,a891)),f315(f315(f10(f901(x45461,a891),f901(f901(a893,x45461),f901(a893,a891)),x45461),f10(x45461,a891,a893)),a312)),f315(f153(x45461),x45462))))),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,a893,a891),f224(a893)),f315(f178(f894(x45461)),x45462)))),f315(f315(f9(a893,f901(a893,a891),a891),f317(a893)),x45463))))),f315(f161(x45461),f165(x45461,x45462,x45463)))
% 201.32/201.08 [4438]E(f315(f250(x44381),f315(f315(f20(x44381,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44381),a318),f315(f315(f10(a891,a891,x44381),a310),f315(f315(f9(x44381,x44381,a891),a312),x44382)))),x44383)),f315(f315(f297(x44381),x44382),f315(f250(x44381),x44383)))
% 201.32/201.08 [4470]E(f315(f315(f143(f900(x44701,a893),x44701),f239(x44701,a893)),f315(f125(f900(x44701,a893),f315(f315(f9(f900(x44701,a893),f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),f900(x44701,a893)),f317(a893)),f244(x44701,a893))),x44702)),f315(f315(f170(x44701,a893),x44703),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(x44701)),x44703)))))),f165(x44701,x44703,x44702))
% 201.32/201.08 [4497]E(f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f8(a893,a1),f315(f315(f10(a1,a1,a893),f315(f73(a1),x44971)),f315(f315(f9(a893,a1,a1),f315(f315(f10(a1,f901(a1,a1),a893),f74(a1)),f89(a1))),x44972))),f315(f270(a893),x44973))),f315(f315(f74(a1),f315(f89(a1),x44973)),f315(f315(f73(a1),x44971),f315(f315(f73(a1),x44971),f315(f315(f74(a1),f315(f89(a1),f315(f315(f3(a893),x44973),f71(a893)))),x44972)))))
% 201.32/201.08 [4539]E(f315(f250(f900(x45391,x45392)),f315(f245(x45391,x45392,a891),f315(f315(f9(x45391,f901(f900(x45392,x45391),a891),f901(x45392,a891)),f315(f315(f10(f901(x45392,f901(f901(f900(x45392,x45391),a891),a891)),f901(f901(f900(x45392,x45391),a891),f901(x45392,a891)),x45391),f9(x45392,f901(f900(x45392,x45391),a891),a891)),f315(f315(f10(f901(x45392,f900(x45392,x45391)),f901(x45392,f901(f901(f900(x45392,x45391),a891),a891)),x45391),f315(f10(f900(x45392,x45391),f901(f901(f900(x45392,x45391),a891),a891),x45392),f317(f900(x45392,x45391)))),f315(f9(x45392,x45391,f900(x45392,x45391)),f240(x45392,x45391))))),x45393))),f315(f274(x45392,x45391),x45393))
% 201.32/201.08 [4559]E(f315(f250(f894(x45591)),f315(f315(f10(f901(x45591,a891),a891,f894(x45591)),f80(x45591)),f315(f315(f10(f901(x45591,f901(f894(x45591),a891)),f901(x45591,a891),f894(x45591)),f315(f10(f901(f894(x45591),a891),a891,x45591),f80(f894(x45591)))),f315(f315(f9(f894(x45591),f901(x45591,f901(f894(x45591),a891)),f901(x45591,f901(f894(x45591),a891))),f315(f315(f10(f901(x45591,f901(f901(f894(x45591),a891),f901(f894(x45591),a891))),f901(f901(x45591,f901(f894(x45591),a891)),f901(x45591,f901(f894(x45591),a891))),f894(x45591)),f20(x45591,f901(f894(x45591),a891),f901(f894(x45591),a891))),f315(f315(f10(f901(x45591,f901(f894(x45591),f901(a891,a891))),f901(x45591,f901(f901(f894(x45591),a891),f901(f894(x45591),a891))),f894(x45591)),f315(f10(f901(f894(x45591),f901(a891,a891)),f901(f901(f894(x45591),a891),f901(f894(x45591),a891)),x45591),f20(f894(x45591),a891,a891))),f315(f315(f10(f901(x45591,f901(f894(x45591),a891)),f901(x45591,f901(f894(x45591),f901(a891,a891))),f894(x45591)),f315(f10(f901(f894(x45591),a891),f901(f894(x45591),f901(a891,a891)),x45591),f315(f10(a891,f901(a891,a891),f894(x45591)),a313))),f315(f315(f9(f894(x45591),f901(x45591,f901(f894(x45591),f894(x45591))),f901(x45591,f901(f894(x45591),a891))),f315(f315(f10(f901(f901(f894(x45591),f894(x45591)),f901(f894(x45591),a891)),f901(f901(x45591,f901(f894(x45591),f894(x45591))),f901(x45591,f901(f894(x45591),a891))),f894(x45591)),f10(f901(f894(x45591),f894(x45591)),f901(f894(x45591),a891),x45591)),f315(f315(f10(f901(f894(x45591),a891),f901(f901(f894(x45591),f894(x45591)),f901(f894(x45591),a891)),f894(x45591)),f10(f894(x45591),a891,f894(x45591))),a312))),f140(x45591)))))),f315(f315(f9(x45591,f901(f894(x45591),a891),f901(f894(x45591),a891)),f315(f315(f10(f901(a891,a891),f901(f901(f894(x45591),a891),f901(f894(x45591),a891)),x45591),f10(a891,a891,f894(x45591))),f315(f315(f10(a891,f901(a891,a891),x45591),a313),f315(f315(f9(x45591,f901(x45591,a891),a891),f317(x45591)),x45592)))),f315(f315(f9(f894(x45591),f901(f894(x45591),a891),a891),f317(f894(x45591))),x45593)))))),f163(x45591,x45592,x45593))
% 201.32/201.08 [4556]E(f315(f315(f79(a1,f900(a1,a1)),f315(f315(f3(a1),x45561),x45562)),f315(f315(f9(a1,f900(a1,a1),f900(a1,a1)),f315(f315(f20(a1,f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),f315(f315(f10(a891,f901(f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),a1),f85(f900(a1,a1))),f315(f223(a1),f2(a1)))),f315(f240(a1,a1),f315(f315(f73(a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x45563)),f71(a1))))),f315(f315(f240(a1,a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x45563)),x45561))),f315(f36(x45562),f315(f315(f240(a1,a1),x45563),x45561)))
% 201.32/201.08 [3612]E(f105(x36121,f315(x36122,x36123),f315(x36124,x36123)),f315(f192(x36121,x36122,x36124),x36123))
% 201.32/201.08 [3665]E(f315(f315(f233(x36651,x36652,x36653),x36654),f2(a893)),x36652)
% 201.32/201.08 [3703]E(f174(x37031,x37032,x37033,f315(a101,x37034)),f315(x37033,x37034))
% 201.32/201.08 [3744]E(f159(x37441,x37442,f159(x37441,x37443,x37444)),f159(x37441,x37443,f159(x37441,x37442,x37444)))
% 201.32/201.08 [3745]E(f115(x37451,x37452,f105(x37451,x37453,x37454)),f105(x37451,f115(x37451,x37452,x37453),x37454))
% 201.32/201.08 [3878]E(f315(f145(x38781,x38782,x38783,x38784),f102(x38782)),x38783)
% 201.32/201.08 [3879]E(f315(f131(x38791,x38792,x38793,x38794),f102(x38792)),x38794)
% 201.32/201.08 [3916]E(f315(f178(f898(x39161,x39162)),f209(x39161,x39162,x39163,x39164)),f2(a893))
% 201.32/201.08 [3939]E(f315(f245(x39391,x39392,x39393),f243(x39391,x39392,x39393,x39394)),x39394)
% 201.32/201.08 [3982]E(f315(f315(f123(x39821),f158(x39821,x39822,x39823)),f158(x39821,x39824,x39823)),f315(f315(f123(x39821),f158(x39821,x39824,x39823)),f158(x39821,x39822,x39823)))
% 201.32/201.08 [4067]E(f315(f315(f247(x40671,x40672,x40673,f900(x40672,x40673)),x40674),f240(x40672,x40673)),x40674)
% 201.32/201.08 [4077]E(f116(x40771,x40772,x40773,x40774,f108(x40772)),x40773)
% 201.32/201.08 [4083]E(f68(x40831,x40832,x40833,x40834,f315(x40833,x40834)),x40833)
% 201.32/201.08 [4349]P44(x43491,x43492,x43493,x43494,f177(f901(x43491,a891)),x43494)
% 201.32/201.08 [3417]E(f315(f315(f18(x34171,x34172),x34173),x34174),x34173)
% 201.32/201.08 [3693]E(f159(x36931,x36932,f315(f125(x36931,x36933),x36934)),f315(f125(x36931,x36933),f159(x36931,x36932,x36934)))
% 201.32/201.08 [3727]E(f315(f315(f57(x37271,x37272,x37273),x37274),f177(f901(x37271,a891))),x37274)
% 201.32/201.08 [3751]E(f315(f315(f153(x37511),f315(f315(f140(x37511),x37512),x37513)),f315(a101,x37514)),f315(f315(f153(x37511),x37513),x37514))
% 201.32/201.08 [3818]E(f315(f315(x38181,x38182),f315(f173(x38183,x38184,x38181),x38182)),f315(f173(x38183,x38184,x38181),f315(a101,x38182)))
% 201.32/201.08 [3859]E(f243(x38591,x38592,x38593,f315(f245(x38591,x38592,x38593),x38594)),x38594)
% 201.32/201.08 [3914]E(f315(f315(f148(x39141,f315(f315(f140(x39141),x39142),x39143)),f2(a893)),x39144),f315(f315(f140(x39141),x39144),x39143))
% 201.32/201.08 [3924]E(f315(f315(f33(f901(x39241,a891),f901(x39242,a891)),x39243),f298(x39241,x39242,x39244)),f315(f298(x39241,x39242,x39244),f30(f901(x39241,a891),x39243)))
% 201.32/201.08 [3925]E(f315(f315(f33(f901(x39251,a891),f901(x39252,a891)),x39253),f299(x39252,x39251,x39254)),f315(f299(x39252,x39251,x39254),f30(f901(x39251,a891),x39253)))
% 201.32/201.08 [3950]E(f109(x39501,f119(x39502,f895(x39501),x39503,x39504)),f315(f107(x39502,x39501,x39504),x39503))
% 201.32/201.08 [4022]E(f315(f114(x40221,x40222),f115(x40221,x40223,x40224)),f315(f315(f73(a893),f315(f315(f73(a893),f315(x40222,x40223)),f315(f114(x40221,x40222),x40224))),f315(a101,f2(a893))))
% 201.32/201.08 [4043]E(f315(f131(x40431,x40432,f315(f9(x40432,x40431,x40431),x40433),x40434),f315(f157(x40432),f102(x40432))),x40434)
% 201.32/201.08 [4147]E(f212(x41471,f900(x41472,f895(x41472)),x41473,f315(f245(x41472,f895(x41472),x41471),x41474),f315(f124(x41472),f108(x41472))),x41473)
% 201.32/201.08 [4279]E(f315(f245(x42791,x42792,x42793),f315(f315(f10(f901(x42792,f900(x42791,x42792)),f901(x42792,x42793),x42791),f315(f10(f900(x42791,x42792),x42793,x42792),x42794)),f240(x42791,x42792))),x42794)
% 201.32/201.08 [3603]E(f315(f244(x36031,x36032),f315(f315(f240(x36031,x36032),x36033),x36034)),x36034)
% 201.32/201.08 [3604]E(f315(f239(x36041,x36042),f315(f315(f240(x36041,x36042),x36043),x36044)),x36043)
% 201.32/201.08 [3637]E(f315(f178(f894(x36371)),f315(f315(f148(x36371,x36372),x36373),x36374)),f315(f178(f894(x36371)),x36372))
% 201.32/201.08 [3638]E(f315(f178(f894(x36381)),f315(f315(f143(x36382,x36381),x36383),x36384)),f315(f178(f894(x36382)),x36384))
% 201.32/201.08 [3659]E(f315(f315(f127(x36591),f315(a101,x36592)),f315(f315(f140(x36591),x36593),x36594)),f315(f315(f127(x36591),x36592),x36594))
% 201.32/201.08 [3722]E(f315(f315(f164(x37221),x37222),f158(x37221,x37223,x37224)),f158(x37221,f315(f315(f221(a893),x37222),x37223),x37224))
% 201.32/201.08 [3723]E(f315(f315(f127(x37231),x37232),f158(x37231,x37233,x37234)),f158(x37231,f315(f315(f3(a893),x37233),x37232),x37234))
% 201.32/201.08 [3729]E(f315(f315(f297(x37291),x37292),f315(f315(f297(x37291),x37293),x37294)),f315(f315(f297(x37291),x37293),f315(f315(f297(x37291),x37292),x37294)))
% 201.32/201.08 [3733]E(f315(f315(f143(x37331,x37332),x37333),f103(x37331,x37334)),f103(x37332,f315(f315(f143(x37331,x37332),x37333),x37334)))
% 201.32/201.08 [3749]E(f315(f157(x37491),f315(f315(f143(x37492,x37491),x37493),x37494)),f315(f315(f143(x37492,x37491),x37493),f315(f157(x37492),x37494)))
% 201.32/201.08 [3750]E(f315(f315(f143(x37501,x37502),x37503),f315(f160(x37501),x37504)),f315(f160(x37502),f315(f315(f143(x37501,x37502),x37503),x37504)))
% 201.32/201.08 [3765]E(f315(f315(f164(x37651),f315(a101,x37652)),f315(f315(f140(x37651),x37653),x37654)),f315(f315(f140(x37651),x37653),f315(f315(f164(x37651),x37652),x37654)))
% 201.32/201.08 [3768]E(f315(f161(x37681),f315(f315(f143(x37682,x37681),x37683),x37684)),f315(f298(x37682,x37681,x37683),f315(f161(x37682),x37684)))
% 201.32/201.08 [3781]E(f315(f315(f143(x37811,x37812),f315(f18(x37812,x37811),x37813)),x37814),f158(x37812,f315(f178(f894(x37811)),x37814),x37813))
% 201.32/201.08 [3817]E(f19(x38171,x38172,x38173,f315(a5,f315(a101,f315(a22,x38174)))),f315(x38173,x38174))
% 201.32/201.08 [3821]E(f315(f315(f123(x38211),f315(f125(x38211,x38212),x38213)),f315(f125(x38211,x38212),x38214)),f315(f125(x38211,x38212),f315(f315(f123(x38211),x38213),x38214)))
% 201.32/201.08 [3833]E(f141(x38331,f315(f315(f143(x38332,x38331),x38333),f141(x38332,x38334))),f141(x38331,f315(f315(f143(x38332,x38331),x38333),x38334)))
% 201.32/201.08 [3848]E(f315(f274(x38481,x38481),f315(f315(f276(x38482,x38481),x38483),x38484)),f315(f315(f276(x38482,x38481),f315(f274(x38482,x38482),x38483)),x38484))
% 201.32/201.08 [3860]E(f315(f315(f277(x38601,x38602,x38603),x38604),f177(f901(f900(x38602,x38603),a891))),f177(f901(f900(x38601,x38603),a891)))
% 201.32/201.08 [3861]E(f315(f315(f164(x38611),f315(f315(f3(a893),x38612),x38613)),f315(f315(f127(x38611),x38613),x38614)),f315(f315(f127(x38611),x38613),f315(f315(f164(x38611),x38612),x38614)))
% 201.32/201.08 [3880]E(f315(f315(f123(x38801),f158(x38801,x38802,x38803)),f158(x38801,x38804,x38803)),f158(x38801,f315(f315(f73(a893),x38802),x38804),x38803))
% 201.32/201.08 [3881]E(f315(f315(f315(f266(x38811),x38812),x38813),x38814),f315(f240(f901(a88,f901(a891,f897(f895(x38811)))),f900(a88,a88)),f315(f35(x38811),x38812)))
% 201.32/201.08 [3907]E(f30(f901(x39071,a891),f315(f298(x39072,f901(x39071,a891),x39073),x39074)),f315(f315(f33(x39072,f901(x39071,a891)),x39074),x39073))
% 201.32/201.08 [3908]E(f31(f901(x39081,a891),f315(f298(x39082,f901(x39081,a891),x39083),x39084)),f315(f315(f32(x39082,f901(x39081,a891)),x39084),x39083))
% 201.32/201.08 [3909]E(f315(f178(f894(f900(x39091,x39092))),f315(f315(f170(x39091,x39092),x39093),x39094)),f315(f315(f221(a893),f315(f178(f894(x39091)),x39093)),f315(f178(f894(x39092)),x39094)))
% 201.32/201.08 [3911]E(f315(f299(x39111,x39112,x39113),f315(f72(f901(x39112,a891)),x39114)),f315(f72(f901(x39111,a891)),f315(f299(x39111,x39112,x39113),x39114)))
% 201.32/201.08 [3960]E(f315(f299(x39601,x39602,x39603),f315(f250(x39602),x39604)),f315(f250(x39601),f315(f315(f10(x39602,a891,x39601),x39604),x39603)))
% 201.32/201.08 [3977]E(f315(f315(f153(x39771),f315(f315(f123(x39771),x39772),f315(f315(f140(x39771),x39773),x39774))),f315(f178(f894(x39771)),x39772)),x39773)
% 201.32/201.08 [3999]E(f315(f298(x39991,x39992,x39993),f315(f299(x39991,x39992,x39993),x39994)),f315(f315(f90(f901(x39992,a891)),x39994),f315(f298(x39991,x39992,x39993),f230(f901(x39991,a891)))))
% 201.32/201.08 [4018]P107(f315(f315(f317(x40181),f315(x40182,x40183)),f315(f298(x40184,x40181,x40182),f230(f901(x40184,a891)))))
% 201.32/201.08 [4027]E(f21(x40271,x40272,x40273,f315(a5,f315(a101,f315(a22,x40274)))),f315(f315(x40273,x40274),f21(x40271,x40272,x40273,x40274)))
% 201.32/201.08 [4031]E(f315(f315(f123(x40311),f158(x40311,x40312,x40313)),f315(f315(f140(x40311),x40313),x40314)),f315(f315(f140(x40311),x40313),f315(f315(f123(x40311),f158(x40311,x40312,x40313)),x40314)))
% 201.32/201.08 [4033]E(f315(f315(f242(x40331,x40332),f315(f161(x40331),x40333)),f315(f18(f901(x40332,a891),x40331),f315(f161(x40332),x40334))),f315(f161(f900(x40331,x40332)),f52(x40331,x40332,x40333,x40334)))
% 201.32/201.08 [4045]E(f144(x40451,x40452,f315(f315(f140(x40451),x40453),x40454)),f315(f315(f73(a893),f315(f315(f73(a893),f315(x40452,x40453)),f144(x40451,x40452,x40454))),f315(a101,f2(a893))))
% 201.32/201.08 [4058]E(f174(f894(x40581),f315(f315(f140(x40581),x40582),x40583),f315(f315(f9(a893,f894(x40581),f894(x40581)),f127(x40581)),x40583),x40584),f315(f315(f127(x40581),x40584),f315(f315(f140(x40581),x40582),x40583)))
% 201.32/201.08 [4059]P26(x40591,f900(x40592,x40591),f319(x40593,x40594,x40592,x40591),f315(f315(f33(x40592,f901(x40591,a891)),x40594),x40593))
% 201.32/201.08 [4068]E(f315(f315(f3(f901(x40681,a891)),f315(f315(f3(f901(x40681,a891)),x40682),x40683)),f315(f315(f297(x40681),x40684),f177(f901(x40681,a891)))),f315(f315(f3(f901(x40681,a891)),x40682),f315(f315(f297(x40681),x40684),x40683)))
% 201.32/201.08 [4081]E(f315(f315(f172(f901(x40811,x40812),f901(x40811,x40812)),x40813),f66(x40812,x40812,x40811,x40814)),f66(x40812,x40812,x40811,f315(f315(f172(x40812,x40812),x40813),x40814)))
% 201.32/201.08 [4152]E(f315(f315(f315(f172(f894(x41521),f894(x41521)),x41522),f156(x41521)),f315(f315(f315(f172(f894(x41521),f894(x41521)),x41523),f156(x41521)),x41524)),f315(f315(f315(f172(f894(x41521),f894(x41521)),f315(f315(f73(a893),x41522),x41523)),f156(x41521)),x41524))
% 201.32/201.08 [4237]P107(f315(f315(f223(f901(x42371,a891)),f315(f161(x42371),f315(f315(f148(x42371,x42372),x42373),x42374))),f315(f315(f297(x42371),x42374),f315(f161(x42371),x42372))))
% 201.32/201.08 [4269]E(f315(f315(f33(f901(x42691,a891),f901(f900(x42691,x42692),a891)),x42693),f315(f315(f9(f901(x42691,a891),f901(x42691,f901(x42692,a891)),f901(f900(x42691,x42692),a891)),f242(x42691,x42692)),x42694)),f315(f315(f242(x42691,x42692),f30(f901(x42691,a891),x42693)),x42694))
% 201.32/201.08 [4307]E(f198(x43071,x43072,x43073,f315(f66(x43072,f901(a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(x43072))))),x43071,f197(x43072)),x43074)),f199(x43071,x43072,x43074,x43073))
% 201.32/201.08 [4322]E(f194(x43221,x43222,x43223,f315(f66(x43222,f901(a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(f897(x43222)))))),x43221,f193(x43222)),x43224)),f195(x43221,x43222,x43224,x43223))
% 201.32/201.08 [4327]P107(f315(f59(x43271,x43272,x43273,x43274,f177(f901(x43271,a891))),x43274))
% 201.32/201.08 [4366]E(f315(f315(f33(x43661,f901(x43662,a891)),x43663),f315(f315(f9(x43661,f901(x43662,a891),f901(x43662,a891)),f315(f315(f10(x43662,f901(f901(x43662,a891),f901(x43662,a891)),x43661),f297(x43662)),x43664)),f177(f901(x43662,a891)))),f315(f298(x43661,x43662,x43664),x43663))
% 201.32/201.08 [4373]P107(f315(f315(f223(f901(x43731,a891)),f315(f272(x43732,x43731),f315(f315(f90(f901(f900(x43732,x43731),a891)),x43733),x43734))),f315(f315(f90(f901(x43731,a891)),f315(f272(x43732,x43731),x43733)),f315(f272(x43732,x43731),x43734))))
% 201.32/201.08 [4374]P107(f315(f315(f223(f901(x43741,a891)),f315(f252(x43741,x43742),f315(f315(f90(f901(f900(x43741,x43742),a891)),x43743),x43744))),f315(f315(f90(f901(x43741,a891)),f315(f252(x43741,x43742),x43743)),f315(f252(x43741,x43742),x43744))))
% 201.32/201.08 [4434]P107(f315(f315(f223(f901(f900(x44341,x44342),a891)),f315(f298(x44342,f900(x44341,x44342),f319(x44343,x44344,x44341,x44342)),f315(f315(f33(x44341,f901(x44342,a891)),x44344),x44343))),f315(f315(f242(x44341,x44342),x44344),x44343)))
% 201.32/201.08 [4435]E(f315(f107(x44351,f900(x44351,x44352),x44353),f315(f315(f10(f901(x44352,f895(f900(x44351,x44352))),f895(f900(x44351,x44352)),x44351),f107(x44352,f900(x44351,x44352),x44354)),f315(f315(f10(f901(x44352,f900(x44351,x44352)),f901(x44352,f895(f900(x44351,x44352))),x44351),f315(f10(f900(x44351,x44352),f895(f900(x44351,x44352)),x44352),f118(f900(x44351,x44352)))),f240(x44351,x44352)))),f120(x44351,x44352,x44353,x44354))
% 201.32/201.08 [4436]E(f264(x44361,x44362,x44363,f315(f66(x44362,f901(a88,f901(a88,f901(f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x44362)))),f900(a88,a88))))),x44361,f266(x44362)),x44364)),f267(x44361,x44362,x44364,x44363))
% 201.32/201.08 [4476]E(f78(f900(x44761,x44762),f315(f245(x44761,x44762,a891),f315(f315(f9(x44761,f901(x44762,a891),f901(x44762,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x44762,a891),f901(x44762,a891)),x44761),f10(a891,a891,x44762)),f315(f315(f10(a891,f901(a891,a891),x44761),a313),f315(a312,x44763)))),f315(a312,x44764)))),f315(f315(f240(x44761,x44762),x44763),x44764))
% 201.32/201.08 [4477]E(f83(f900(x44771,x44772),f315(f245(x44771,x44772,a891),f315(f315(f9(x44771,f901(x44772,a891),f901(x44772,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x44772,a891),f901(x44772,a891)),x44771),f10(a891,a891,x44772)),f315(f315(f10(a891,f901(a891,a891),x44771),a313),f315(a312,x44773)))),f315(a312,x44774)))),f315(f315(f240(x44771,x44772),x44773),x44774))
% 201.32/201.08 [4548]E(f315(f315(f245(f894(x45481),f894(x45481),f900(f894(x45481),f894(x45481))),f315(f315(f20(f894(x45481),f901(f894(x45481),f900(f894(x45481),f894(x45481))),f901(f894(x45481),f900(f894(x45481),f894(x45481)))),f315(f315(f10(f901(f894(x45481),f901(f900(f894(x45481),f894(x45481)),f900(f894(x45481),f894(x45481)))),f901(f901(f894(x45481),f900(f894(x45481),f894(x45481))),f901(f894(x45481),f900(f894(x45481),f894(x45481)))),f894(x45481)),f20(f894(x45481),f900(f894(x45481),f894(x45481)),f900(f894(x45481),f894(x45481)))),f315(f315(f10(f901(f894(x45481),f900(f894(x45481),f894(x45481))),f901(f894(x45481),f901(f900(f894(x45481),f894(x45481)),f900(f894(x45481),f894(x45481)))),f894(x45481)),f315(f10(f900(f894(x45481),f894(x45481)),f901(f900(f894(x45481),f894(x45481)),f900(f894(x45481),f894(x45481))),f894(x45481)),f315(f85(f900(f894(x45481),f894(x45481))),f315(x45482,x45483)))),f315(f315(f10(f894(x45481),f901(f894(x45481),f900(f894(x45481),f894(x45481))),f894(x45481)),f240(f894(x45481),f894(x45481))),f315(f140(x45481),x45483))))),f315(f315(f9(f894(x45481),f901(f894(x45481),f894(x45481)),f901(f894(x45481),f900(f894(x45481),f894(x45481)))),f315(f315(f10(f901(f894(x45481),f900(f894(x45481),f894(x45481))),f901(f901(f894(x45481),f894(x45481)),f901(f894(x45481),f900(f894(x45481),f894(x45481)))),f894(x45481)),f10(f894(x45481),f900(f894(x45481),f894(x45481)),f894(x45481))),f240(f894(x45481),f894(x45481)))),f315(f140(x45481),x45483)))),f155(x45481,x45482,x45484)),f155(x45481,x45482,f315(f315(f140(x45481),x45483),x45484)))
% 201.32/201.08 [3797]E(f315(f315(f164(x37971),x37972),f315(f315(f164(x37971),x37973),x37974)),f315(f315(f164(x37971),f315(f315(f221(a893),x37972),x37973)),x37974))
% 201.32/201.08 [3798]E(f315(f315(f127(x37981),x37982),f315(f315(f127(x37981),x37983),x37984)),f315(f315(f127(x37981),f315(f315(f73(a893),x37982),x37983)),x37984))
% 201.32/201.08 [3809]E(f315(f315(f123(x38091),f315(f315(f140(x38091),x38092),x38093)),x38094),f315(f315(f140(x38091),x38092),f315(f315(f123(x38091),x38093),x38094)))
% 201.32/201.08 [3810]E(f315(f315(f123(x38101),f315(f315(f123(x38101),x38102),x38103)),x38104),f315(f315(f123(x38101),x38102),f315(f315(f123(x38101),x38103),x38104)))
% 201.32/201.08 [3891]E(f315(f315(f153(x38911),f315(f315(f140(x38911),x38912),x38913)),x38914),f174(x38911,x38912,f315(f153(x38911),x38913),x38914))
% 201.32/201.08 [3900]E(f315(f315(f172(x39001,x39001),x39002),f315(f315(f172(x39001,x39001),x39003),x39004)),f315(f315(f172(x39001,x39001),f315(f315(f74(a893),x39003),x39002)),x39004))
% 201.32/201.08 [3927]E(f315(f315(f99(f901(x39271,a891)),x39272),f315(f315(f297(x39271),x39273),x39274)),f315(f315(f297(x39271),x39273),f315(f315(f99(f901(x39271,a891)),x39272),x39274)))
% 201.32/201.08 [3942]E(f315(f315(f315(f172(x39421,x39421),x39422),x39423),f315(x39423,x39424)),f315(x39423,f315(f315(f315(f172(x39421,x39421),x39422),x39423),x39424)))
% 201.32/201.08 [3951]E(f315(f315(f277(x39511,x39512,x39513),f177(f901(f900(x39511,x39512),a891))),x39514),f177(f901(f900(x39511,x39513),a891)))
% 201.32/201.08 [3965]E(f315(f315(f99(f901(x39651,a891)),f315(f315(f297(x39651),x39652),x39653)),x39654),f315(f315(f297(x39651),x39652),f315(f315(f99(f901(x39651,a891)),x39653),x39654)))
% 201.32/201.08 [3984]E(f315(f28(f900(x39841,x39842)),f315(f315(f242(x39841,x39842),x39843),f315(f18(f901(x39842,a891),x39841),x39844))),f315(f315(f74(a893),f315(f28(x39841),x39843)),f315(f28(x39842),x39844)))
% 201.32/201.08 [3990]E(f315(f315(f90(f901(x39901,a891)),f315(f315(f297(x39901),x39902),x39903)),f315(f315(f297(x39901),x39902),x39904)),f315(f315(f297(x39901),x39902),f315(f315(f90(f901(x39901,a891)),x39903),x39904)))
% 201.32/201.08 [4003]E(f315(f315(f99(f901(x40031,a891)),x40032),f315(f315(f99(f901(x40031,a891)),x40033),x40034)),f315(f315(f99(f901(x40031,a891)),x40033),f315(f315(f99(f901(x40031,a891)),x40032),x40034)))
% 201.32/201.08 [4004]E(f315(f315(f90(f901(x40041,a891)),x40042),f315(f315(f90(f901(x40041,a891)),x40043),x40044)),f315(f315(f90(f901(x40041,a891)),x40043),f315(f315(f90(f901(x40041,a891)),x40042),x40044)))
% 201.32/201.08 [4014]E(f57(x40141,x40142,f315(f315(f10(x40142,f901(x40142,x40142),x40141),x40143),x40144)),f315(f58(x40142,x40141,x40143),x40144))
% 201.32/201.08 [4023]E(f168(x40231,f315(f315(f143(f894(x40232),f894(x40231)),f315(f143(x40232,x40231),x40233)),x40234)),f315(f315(f143(f894(x40232),f894(x40231)),f315(f143(x40232,x40231),x40233)),f168(x40232,x40234)))
% 201.32/201.08 [4042]E(f315(f131(f894(x40421),f894(x40421),f123(x40421),f102(x40421)),f315(f315(f143(x40422,f894(x40421)),x40423),x40424)),f152(x40422,x40421,x40423,x40424))
% 201.32/201.08 [4099]E(f315(f66(x40991,x40991,x40991,f315(f315(f172(x40991,x40991),x40992),x40993)),f315(f315(f172(x40991,x40991),x40994),x40993)),f315(f315(f172(x40991,x40991),f315(f315(f73(a893),x40992),x40994)),x40993))
% 201.32/201.08 [4122]E(f315(f315(f90(f901(x41221,a891)),f315(f315(f99(f901(x41221,a891)),x41222),x41223)),f315(f315(f99(f901(x41221,a891)),x41222),x41224)),f315(f315(f99(f901(x41221,a891)),x41222),f315(f315(f90(f901(x41221,a891)),x41223),x41224)))
% 201.32/201.08 [4123]E(f315(f315(f90(f901(x41231,a891)),f315(f315(f3(f901(x41231,a891)),x41232),x41233)),f315(f315(f3(f901(x41231,a891)),x41232),x41234)),f315(f315(f3(f901(x41231,a891)),x41232),f315(f315(f99(f901(x41231,a891)),x41233),x41234)))
% 201.32/201.08 [4124]E(f315(f315(f99(f901(x41241,a891)),f315(f315(f3(f901(x41241,a891)),x41242),x41243)),f315(f315(f3(f901(x41241,a891)),x41242),x41244)),f315(f315(f3(f901(x41241,a891)),x41242),f315(f315(f90(f901(x41241,a891)),x41243),x41244)))
% 201.32/201.08 [4125]E(f315(f315(f99(f901(x41251,a891)),f315(f315(f90(f901(x41251,a891)),x41252),x41253)),f315(f315(f90(f901(x41251,a891)),x41252),x41254)),f315(f315(f90(f901(x41251,a891)),x41252),f315(f315(f99(f901(x41251,a891)),x41253),x41254)))
% 201.32/201.08 [4126]E(f315(f315(f3(f901(x41261,a891)),f315(f315(f90(f901(x41261,a891)),x41262),x41263)),f315(f315(f90(f901(x41261,a891)),x41262),x41264)),f315(f315(f90(f901(x41261,a891)),x41262),f315(f315(f3(f901(x41261,a891)),x41263),x41264)))
% 201.32/201.08 [4131]E(f315(f28(f900(x41311,x41312)),f315(f315(f242(x41311,x41312),f315(f315(f297(x41311),x41313),f177(f901(x41311,a891)))),f315(f18(f901(x41312,a891),x41311),x41314))),f315(f28(x41312),x41314))
% 201.32/201.08 [4166]E(f315(f315(f33(x41661,f901(x41662,a891)),x41663),f315(f315(f10(f901(x41662,a891),f901(x41662,a891),x41661),f72(f901(x41662,a891))),x41664)),f315(f72(f901(x41662,a891)),f315(f315(f32(x41661,f901(x41662,a891)),x41663),x41664)))
% 201.32/201.08 [4167]E(f315(f315(f32(x41671,f901(x41672,a891)),x41673),f315(f315(f10(f901(x41672,a891),f901(x41672,a891),x41671),f72(f901(x41672,a891))),x41674)),f315(f72(f901(x41672,a891)),f315(f315(f33(x41671,f901(x41672,a891)),x41673),x41674)))
% 201.32/201.08 [4183]E(f315(f315(f277(x41831,x41831,x41831),f315(f315(f172(f900(x41831,x41831),a891),x41832),x41833)),f315(f315(f172(f900(x41831,x41831),a891),x41834),x41833)),f315(f315(f172(f900(x41831,x41831),a891),f315(f315(f73(a893),x41832),x41834)),x41833))
% 201.32/201.08 [4213]E(f315(f315(f32(x42131,f901(f901(x42132,a891),a891)),x42133),f315(f315(f10(f901(x42132,a891),f901(f901(x42132,a891),a891),x42131),f296(x42132)),x42134)),f315(f296(x42132),f315(f315(f32(x42131,f901(x42132,a891)),x42133),x42134)))
% 201.32/201.08 [4242]E(f315(f315(f32(f901(x42421,a891),f901(x42422,a891)),x42423),f315(f315(f9(f901(x42421,a891),f901(x42421,f901(x42422,a891)),f901(x42422,a891)),f32(x42421,f901(x42422,a891))),x42424)),f315(f315(f32(x42421,f901(x42422,a891)),f30(f901(x42421,a891),x42423)),x42424))
% 201.32/201.08 [4243]E(f315(f315(f33(f901(x42431,a891),f901(x42432,a891)),x42433),f315(f315(f9(f901(x42431,a891),f901(x42431,f901(x42432,a891)),f901(x42432,a891)),f33(x42431,f901(x42432,a891))),x42434)),f315(f315(f33(x42431,f901(x42432,a891)),f30(f901(x42431,a891),x42433)),x42434))
% 201.32/201.08 [4248]E(f315(f315(f143(x42481,x42482),x42483),f315(f131(f894(x42481),f894(x42481),f123(x42481),f102(x42481)),x42484)),f315(f131(f894(x42482),f894(x42482),f123(x42482),f102(x42482)),f315(f315(f143(f894(x42481),f894(x42482)),f315(f143(x42481,x42482),x42483)),x42484)))
% 201.32/201.08 [4250]E(f174(f894(x42501),f102(x42501),f315(f315(f10(f894(x42501),f894(x42501),a893),f315(f140(x42501),x42502)),f315(f315(f9(a893,f894(x42501),f894(x42501)),f164(x42501)),x42503)),x42504),f315(f315(f164(x42501),x42504),f315(f315(f140(x42501),x42502),x42503)))
% 201.32/201.08 [4288]P107(f315(f315(f223(f901(x42881,a891)),f315(f298(x42882,x42881,x42883),f315(f299(x42882,x42881,x42883),x42884))),x42884))
% 201.32/201.08 [4290]E(f315(f298(f900(x42901,x42902),f900(x42902,x42901),f315(f245(x42901,x42902,f900(x42902,x42901)),f315(f9(x42902,x42901,f900(x42902,x42901)),f240(x42902,x42901)))),f315(f315(f242(x42901,x42902),x42903),f315(f18(f901(x42902,a891),x42901),x42904))),f315(f315(f242(x42902,x42901),x42904),f315(f18(f901(x42901,a891),x42902),x42903)))
% 201.32/201.08 [4299]E(f315(f315(f33(x42991,f901(x42992,a891)),x42993),f315(f315(f10(f901(x42991,a891),f901(x42992,a891),x42991),f273(x42991,x42992,x42994)),f315(f315(f9(x42991,f901(x42991,a891),f901(x42991,a891)),f297(x42991)),f177(f901(x42991,a891))))),f315(f273(x42991,x42992,x42994),x42993))
% 201.32/201.08 [4300]E(f315(f315(f33(x43001,f901(x43002,a891)),x43003),f315(f315(f10(f901(x43001,a891),f901(x43002,a891),x43001),f299(x43002,x43001,x43004)),f315(f315(f9(x43001,f901(x43001,a891),f901(x43001,a891)),f297(x43001)),f177(f901(x43001,a891))))),f315(f299(x43002,x43001,x43004),x43003))
% 201.32/201.08 [4387]E(f315(f315(f99(f901(x43871,a891)),f315(f315(f99(f901(x43871,a891)),f315(f315(f90(f901(x43871,a891)),x43872),x43873)),f315(f315(f90(f901(x43871,a891)),x43873),x43874))),f315(f315(f90(f901(x43871,a891)),x43874),x43872)),f315(f315(f90(f901(x43871,a891)),f315(f315(f90(f901(x43871,a891)),f315(f315(f99(f901(x43871,a891)),x43872),x43873)),f315(f315(f99(f901(x43871,a891)),x43873),x43874))),f315(f315(f99(f901(x43871,a891)),x43874),x43872)))
% 201.32/201.08 [4450]E(f315(f131(f894(x44501),f894(x44501),f123(x44501),f102(x44501)),f315(f315(f143(x44502,f894(x44501)),f315(f315(f9(x44502,f894(x44501),f894(x44501)),f315(f315(f10(x44501,f901(f894(x44501),f894(x44501)),x44502),f140(x44501)),x44503)),f102(x44501))),x44504)),f315(f315(f143(x44502,x44501),x44503),x44504))
% 201.32/201.08 [4460]E(f315(f315(f79(a1,x44601),f315(f92(a1),f315(f315(f73(a1),x44602),a86))),f315(f315(f20(a1,x44601,x44601),f315(f315(f9(a1,x44601,f901(x44601,x44601)),f315(f315(f10(a891,f901(x44601,f901(x44601,x44601)),a1),f85(x44601)),a182)),x44603)),f315(f315(f10(a893,x44601,a1),x44604),a93))),f174(x44601,x44603,x44604,f315(f92(a893),x44602)))
% 201.32/201.08 [4491]E(f315(f250(x44911),f315(f315(f10(f901(x44912,a891),a891,x44911),f80(x44912)),f315(f315(f10(f901(x44912,a891),f901(x44912,a891),x44911),f315(f20(x44912,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44912),a313),f315(f315(f9(x44912,f901(x44912,a891),a891),f317(x44912)),x44913)))),f315(f9(x44912,x44911,a891),x44914)))),f315(f273(x44912,x44911,f315(f250(f900(x44912,x44911)),f315(f245(x44912,x44911,a891),x44914))),x44913))
% 201.32/201.08 [4626]~P107(f315(f315(f177(f901(x46261,f901(x46262,a891))),x46263),x46264))
% 201.32/201.08 [3954]E(f315(f315(f153(x39541),f315(f315(f123(x39541),x39542),x39543)),f315(f315(f73(a893),f315(f178(f894(x39541)),x39542)),x39544)),f315(f315(f153(x39541),x39543),x39544))
% 201.32/201.08 [3959]E(f315(f315(f127(x39591),x39592),f315(f315(f164(x39591),f315(f315(f73(a893),x39593),x39592)),x39594)),f315(f315(f164(x39591),x39593),f315(f315(f127(x39591),x39592),x39594)))
% 201.32/201.08 [4056]E(f315(f315(f99(f901(x40561,a891)),f315(f272(x40562,x40561),x40563)),f315(f272(x40562,x40561),x40564)),f315(f272(x40562,x40561),f315(f315(f99(f901(f900(x40562,x40561),a891)),x40563),x40564)))
% 201.32/201.08 [4057]E(f315(f315(f99(f901(x40571,a891)),f315(f252(x40571,x40572),x40573)),f315(f252(x40571,x40572),x40574)),f315(f252(x40571,x40572),f315(f315(f99(f901(f900(x40571,x40572),a891)),x40573),x40574)))
% 201.32/201.08 [4062]E(f315(f315(f99(f901(x40621,a891)),f315(f315(f99(f901(x40621,a891)),x40622),x40623)),x40624),f315(f315(f99(f901(x40621,a891)),x40622),f315(f315(f99(f901(x40621,a891)),x40623),x40624)))
% 201.32/201.08 [4063]E(f315(f315(f3(f901(x40631,a891)),f315(f315(f90(f901(x40631,a891)),x40632),x40633)),x40634),f315(f315(f90(f901(x40631,a891)),x40632),f315(f315(f3(f901(x40631,a891)),x40633),x40634)))
% 201.32/201.08 [4064]E(f315(f315(f90(f901(x40641,a891)),f315(f315(f90(f901(x40641,a891)),x40642),x40643)),x40644),f315(f315(f90(f901(x40641,a891)),x40642),f315(f315(f90(f901(x40641,a891)),x40643),x40644)))
% 201.32/201.08 [4101]E(f315(f315(f99(f901(f900(x41011,x41012),a891)),f315(f274(x41012,x41011),x41013)),f315(f274(x41012,x41011),x41014)),f315(f274(x41012,x41011),f315(f315(f99(f901(f900(x41012,x41011),a891)),x41013),x41014)))
% 201.32/201.08 [4102]E(f315(f315(f90(f901(f900(x41021,x41022),a891)),f315(f274(x41022,x41021),x41023)),f315(f274(x41022,x41021),x41024)),f315(f274(x41022,x41021),f315(f315(f90(f901(f900(x41022,x41021),a891)),x41023),x41024)))
% 201.32/201.08 [4115]E(f315(f315(f99(f901(x41151,f901(x41152,a891))),f231(x41152,x41151,x41153)),f231(x41152,x41151,x41154)),f231(x41152,x41151,f315(f315(f99(f901(x41152,f901(x41151,a891))),x41153),x41154)))
% 201.32/201.08 [4116]E(f315(f315(f90(f901(x41161,f901(x41162,a891))),f231(x41162,x41161,x41163)),f231(x41162,x41161,x41164)),f231(x41162,x41161,f315(f315(f90(f901(x41162,f901(x41161,a891))),x41163),x41164)))
% 201.32/201.08 [4170]E(f315(f315(f90(f901(x41701,a891)),f315(f315(f99(f901(x41701,a891)),x41702),x41703)),f315(f315(f99(f901(x41701,a891)),x41704),x41703)),f315(f315(f99(f901(x41701,a891)),f315(f315(f90(f901(x41701,a891)),x41702),x41704)),x41703))
% 201.32/201.08 [4171]E(f315(f315(f99(f901(x41711,a891)),f315(f315(f3(f901(x41711,a891)),x41712),x41713)),f315(f315(f3(f901(x41711,a891)),x41714),x41713)),f315(f315(f3(f901(x41711,a891)),f315(f315(f99(f901(x41711,a891)),x41712),x41714)),x41713))
% 201.32/201.08 [4172]E(f315(f315(f99(f901(x41721,a891)),f315(f315(f90(f901(x41721,a891)),x41722),x41723)),f315(f315(f90(f901(x41721,a891)),x41724),x41723)),f315(f315(f90(f901(x41721,a891)),f315(f315(f99(f901(x41721,a891)),x41722),x41724)),x41723))
% 201.32/201.08 [4173]E(f315(f315(f3(f901(x41731,a891)),f315(f315(f90(f901(x41731,a891)),x41732),x41733)),f315(f315(f90(f901(x41731,a891)),x41734),x41733)),f315(f315(f90(f901(x41731,a891)),f315(f315(f3(f901(x41731,a891)),x41732),x41734)),x41733))
% 201.32/201.08 [4174]E(f315(f315(f3(f901(x41741,a891)),f315(f315(f90(f901(x41741,a891)),x41742),x41743)),f315(f315(f90(f901(x41741,a891)),x41744),x41743)),f315(f315(f3(f901(x41741,a891)),f315(f315(f90(f901(x41741,a891)),x41742),x41743)),x41744))
% 201.32/201.08 [4186]E(f315(f315(f3(f901(x41861,a891)),f315(f315(f3(f901(x41861,a891)),x41862),f315(f315(f297(x41861),x41863),f177(f901(x41861,a891))))),x41864),f315(f315(f3(f901(x41861,a891)),x41862),f315(f315(f297(x41861),x41863),x41864)))
% 201.32/201.08 [4239]E(f315(f315(f99(f901(x42391,a891)),f315(f315(f297(x42391),x42392),f315(f315(f297(x42391),x42393),f177(f901(x42391,a891))))),f315(f269(x42391),x42394)),f315(f269(x42391),f315(f315(f297(f900(x42391,x42391)),f315(f315(f240(x42391,x42391),x42392),x42393)),x42394)))
% 201.32/201.08 [4264]E(f315(f315(f33(a893,f901(x42641,a891)),f315(f289(a893),x42642)),f315(f315(f10(a893,f901(x42641,a891),a893),x42643),f315(f315(f9(a893,a893,a893),f73(a893)),x42644))),f315(f315(f33(a893,f901(x42641,a891)),f291(a893,x42644,f315(f315(f73(a893),x42642),x42644))),x42643))
% 201.32/201.08 [4265]E(f163(x42651,f315(f273(x42651,x42651,x42652),f315(f315(f297(x42651),x42653),f177(f901(x42651,a891)))),f315(f273(f894(x42651),f894(x42651),f147(x42651,x42652)),f315(f315(f297(f894(x42651)),x42654),f177(f901(f894(x42651),a891))))),f315(f273(f894(x42651),f894(x42651),f147(x42651,x42652)),f315(f315(f297(f894(x42651)),f315(f315(f140(x42651),x42653),x42654)),f177(f901(f894(x42651),a891)))))
% 201.32/201.08 [4329]E(f315(f250(x43291),f315(f315(f9(x43291,f901(x43292,a891),a891),f315(f315(f10(x43292,f901(f901(x43292,a891),a891),x43291),f317(x43292)),x43293)),x43294)),f315(f299(x43291,x43292,x43293),x43294))
% 201.32/201.08 [4419]E(f315(f250(x44191),f315(f315(f9(x44191,f901(f900(x44192,x44191),a891),a891),f315(f315(f10(f900(x44192,x44191),f901(f901(f900(x44192,x44191),a891),a891),x44191),f317(f900(x44192,x44191))),f315(f240(x44192,x44191),x44193))),x44194)),f315(f273(x44192,x44191,x44194),f315(f315(f297(x44192),x44193),f177(f901(x44192,a891)))))
% 201.32/201.08 [4433]E(f315(f315(f143(f900(x44331,a893),x44331),f239(x44331,a893)),f315(f125(f900(x44331,a893),f315(f315(f10(a893,a891,f900(x44331,a893)),x44332),f315(f315(f10(a893,a893,f900(x44331,a893)),a101),f244(x44331,a893)))),f315(f315(f170(x44331,a893),x44333),x44334))),f315(f315(f143(f900(x44331,a893),x44331),f239(x44331,a893)),f315(f125(f900(x44331,a893),f315(f315(f10(a893,a891,f900(x44331,a893)),x44332),f244(x44331,a893))),f315(f315(f170(x44331,a893),x44333),f315(f315(f143(a893,a893),a101),x44334)))))
% 201.32/201.08 [4442]P107(f315(f315(f223(f901(f901(x44421,a891),a891)),f315(f315(f33(x44422,f901(f901(x44421,a891),a891)),x44423),f315(f315(f10(f901(x44421,a891),f901(f901(x44421,a891),a891),x44422),f296(x44421)),x44424))),f315(f296(x44421),f315(f315(f33(x44422,f901(x44421,a891)),x44423),x44424))))
% 201.32/201.08 [4483]E(f315(f315(f79(a1,x44831),f315(f92(a1),f315(f315(f73(a1),x44832),a86))),f315(f315(f20(a1,x44831,x44831),f315(f315(f9(a1,x44831,f901(x44831,x44831)),f315(f315(f10(a891,f901(x44831,f901(x44831,x44831)),a1),f85(x44831)),a182)),x44833)),f315(f315(f20(a1,x44831,x44831),f315(f315(f10(a893,f901(x44831,x44831),a1),x44834),a93)),f315(f315(f10(a893,x44831,a1),f173(x44831,x44833,x44834)),a93)))),f315(f173(x44831,x44833,x44834),f315(f92(a893),x44832)))
% 201.32/201.08 [4507]E(f315(f250(f900(x45071,x45072)),f315(f245(x45071,x45072,a891),f315(f315(f9(x45071,f901(x45072,a891),f901(x45072,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x45072,a891),f901(x45072,a891)),x45071),f10(a891,a891,x45072)),f315(f315(f10(a891,f901(a891,a891),x45071),a313),f315(f315(f9(x45071,f901(x45071,a891),a891),f317(x45071)),x45073)))),f315(f315(f9(x45072,f901(x45072,a891),a891),f317(x45072)),x45074)))),f218(x45071,x45072,x45073,x45074))
% 201.32/201.08 [4543]E(f315(f315(f33(x45431,f901(f900(x45431,x45432),a891)),x45433),f315(f315(f20(x45431,f901(x45432,f901(f900(x45431,x45432),a891)),f901(f900(x45431,x45432),a891)),f315(f315(f10(f901(x45432,a891),f901(f901(x45432,f901(f900(x45431,x45432),a891)),f901(f900(x45431,x45432),a891)),x45431),f33(x45432,f901(f900(x45431,x45432),a891))),x45434)),f315(f315(f9(x45431,f901(f900(x45431,x45432),a891),f901(x45432,f901(f900(x45431,x45432),a891))),f315(f315(f10(f901(x45432,f901(f901(f900(x45431,x45432),a891),f901(f900(x45431,x45432),a891))),f901(f901(f900(x45431,x45432),a891),f901(x45432,f901(f900(x45431,x45432),a891))),x45431),f9(x45432,f901(f900(x45431,x45432),a891),f901(f900(x45431,x45432),a891))),f315(f315(f10(f901(x45432,f900(x45431,x45432)),f901(x45432,f901(f901(f900(x45431,x45432),a891),f901(f900(x45431,x45432),a891))),x45431),f315(f10(f900(x45431,x45432),f901(f901(f900(x45431,x45432),a891),f901(f900(x45431,x45432),a891)),x45432),f297(f900(x45431,x45432)))),f240(x45431,x45432)))),f177(f901(f900(x45431,x45432),a891))))),f315(f315(f242(x45431,x45432),x45433),x45434))
% 201.32/201.08 [4110]E(f315(f315(f123(x41101),f315(f315(f164(x41101),x41102),x41103)),f315(f315(f164(x41101),f315(f315(f3(a893),x41102),f315(f178(f894(x41101)),x41103))),x41104)),f315(f315(f164(x41101),x41102),f315(f315(f123(x41101),x41103),x41104)))
% 201.32/201.08 [4111]E(f315(f315(f123(x41111),f315(f315(f127(x41111),x41112),x41113)),f315(f315(f127(x41111),f315(f315(f3(a893),x41112),f315(f178(f894(x41111)),x41113))),x41114)),f315(f315(f127(x41111),x41112),f315(f315(f123(x41111),x41113),x41114)))
% 201.32/201.08 [4160]E(f315(f315(f73(a893),f315(f315(f74(a893),x41601),x41602)),f315(f315(f73(a893),f315(f315(f74(a893),x41603),x41602)),x41604)),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f73(a893),x41601),x41603)),x41602)),x41604))
% 201.32/201.08 [4305]E(f83(x43051,f315(f315(f9(x43051,x43052,a891),f315(f315(f10(x43052,f901(x43052,a891),x43051),a312),x43053)),x43054)),f315(f84(x43051,x43052,f230(f901(x43051,a891)),x43053),x43054))
% 201.32/201.08 [4353]P107(f315(f315(f223(f901(x43531,a891)),f315(f315(f3(f901(x43531,a891)),f315(f272(x43532,x43531),x43533)),f315(f272(x43532,x43531),x43534))),f315(f272(x43532,x43531),f315(f315(f3(f901(f900(x43532,x43531),a891)),x43533),x43534))))
% 201.32/201.08 [4354]P107(f315(f315(f223(f901(x43541,a891)),f315(f315(f3(f901(x43541,a891)),f315(f252(x43541,x43542),x43543)),f315(f252(x43541,x43542),x43544))),f315(f252(x43541,x43542),f315(f315(f3(f901(f900(x43541,x43542),a891)),x43543),x43544))))
% 201.32/201.08 [4462]E(f315(f315(f73(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x44621),x44622)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x44623),x44624)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),f315(f315(f73(a893),x44621),x44623)),f315(f315(f73(a893),x44622),x44624))),f177(f901(f900(a893,a893),a891))))))
% 201.32/201.08 [4502]E(f315(f315(f74(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x45021),x45022)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x45023),x45024)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),f315(f315(f73(a893),f315(f315(f74(a893),x45021),x45023)),f315(f315(f74(a893),x45022),x45024))),f315(f315(f73(a893),f315(f315(f74(a893),x45021),x45024)),f315(f315(f74(a893),x45022),x45023)))),f177(f901(f900(a893,a893),a891))))))
% 201.32/201.08 [4523]E(f315(f250(x45231),f315(f315(f10(f901(x45232,a891),a891,x45231),f81(x45232)),f315(f315(f10(f901(x45232,a891),f901(x45232,a891),x45231),f315(f20(x45232,a891,a891),f315(f315(f10(a891,f901(a891,a891),x45232),a318),f315(f315(f9(x45232,f901(x45232,a891),a891),f317(x45232)),x45233)))),f315(f315(f9(x45231,f901(x45232,f901(x45231,a891)),f901(x45232,a891)),f315(f315(f10(f901(f901(x45231,a891),a891),f901(f901(x45232,f901(x45231,a891)),f901(x45232,a891)),x45231),f10(f901(x45231,a891),a891,x45232)),f317(x45231))),x45234)))),f315(f315(f32(x45232,f901(x45231,a891)),x45233),x45234))
% 201.32/201.08 [4555]E(f315(f315(f277(x45551,x45551,x45551),f315(f315(f297(f900(x45551,x45551)),f315(f315(f240(x45551,x45551),x45552),x45553)),x45554)),f295(x45551,f315(f315(f297(f900(x45551,x45551)),f315(f315(f240(x45551,x45551),x45552),x45553)),x45554))),f315(f315(f99(f901(f900(x45551,x45551),a891)),f315(f315(f277(x45551,x45551,x45551),x45554),f295(x45551,x45554))),f315(f250(f900(x45551,x45551)),f315(f245(x45551,x45551,a891),f315(f315(f9(x45551,f901(x45551,a891),f901(x45551,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x45551,a891),f901(x45551,a891)),x45551),f10(a891,a891,x45551)),f315(f315(f10(a891,f901(a891,a891),x45551),a313),f315(f315(f9(x45551,f901(f900(x45551,x45551),a891),a891),f315(f315(f10(f900(x45551,x45551),f901(f901(f900(x45551,x45551),a891),a891),x45551),f317(f900(x45551,x45551))),f315(f315(f9(x45551,x45551,f900(x45551,x45551)),f240(x45551,x45551)),x45552))),f295(x45551,x45554))))),f315(f315(f9(x45551,f901(f900(x45551,x45551),a891),a891),f315(f315(f10(f900(x45551,x45551),f901(f901(f900(x45551,x45551),a891),a891),x45551),f317(f900(x45551,x45551))),f315(f240(x45551,x45551),x45553))),f295(x45551,x45554)))))))
% 201.32/201.08 [4355]E(f315(f125(x43551,f315(f315(f20(x43551,a891,a891),f315(f315(f10(a891,f901(a891,a891),x43551),a313),x43552)),x43553)),x43554),f315(f125(x43551,x43553),f315(f125(x43551,x43552),x43554)))
% 201.32/201.08 [4456]E(f315(f315(f123(x44561),f315(f315(f315(f85(f894(x44561)),f315(f315(f317(a893),f2(a893)),x44562)),f315(f315(f140(x44561),x44563),f102(x44561))),f102(x44561))),f165(x44561,x44564,f315(f250(a893),f315(f315(f9(a893,f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),a893),f317(a893)),a101)),x44562)))),f165(x44561,f315(f315(f140(x44561),x44563),x44564),x44562))
% 201.32/201.08 [4551]E(f315(f250(f900(x45511,x45512)),f315(f315(f10(f901(a893,a891),a891,f900(x45511,x45512)),f80(a893)),f315(f315(f9(f900(x45511,x45512),f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),f900(x45511,x45512)),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),f900(x45511,x45512)),f315(f10(a891,f901(a891,a891),a893),a313)),f315(f315(f9(f900(x45511,x45512),f901(a893,f900(x45511,x45512)),f901(a893,a891)),f315(f315(f10(f901(f900(x45511,x45512),a891),f901(f901(a893,f900(x45511,x45512)),f901(a893,a891)),f900(x45511,x45512)),f10(f900(x45511,x45512),a891,a893)),a312)),f315(f315(f20(a893,x45512,f900(x45511,x45512)),f315(f315(f10(x45511,f901(x45512,f900(x45511,x45512)),a893),f240(x45511,x45512)),f315(f153(x45511),x45513))),f315(f153(x45512),x45514)))))),f315(f315(f9(a893,a893,a891),f224(a893)),f315(f315(f221(a893),f315(f178(f894(x45511)),x45513)),f315(f178(f894(x45512)),x45514)))))),f315(f161(f900(x45511,x45512)),f315(f315(f170(x45511,x45512),x45513),x45514)))
% 201.32/201.08 [4475]E(f315(f250(f900(x44751,x44752)),f315(f245(x44751,x44752,a891),f315(f315(f9(x44751,f901(x44752,a891),f901(x44752,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x44752,a891),f901(x44752,a891)),x44751),f10(a891,a891,x44752)),f315(f315(f10(a891,f901(a891,a891),x44751),a313),x44753))),x44754))),f315(f315(f242(x44751,x44752),f315(f250(x44751),x44753)),f315(f18(f901(x44752,a891),x44751),f315(f250(x44752),x44754))))
% 201.32/201.08 [4478]E(f315(f250(f900(x44781,x44782)),f315(f245(x44781,x44782,a891),f315(f315(f20(x44781,f901(x44782,a891),f901(x44782,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x44782,a891),f901(x44782,a891)),x44781),f10(a891,a891,x44782)),f315(f315(f10(a891,f901(a891,a891),x44781),a313),x44783))),x44784))),f315(f315(f242(x44781,x44782),f315(f250(x44781),x44783)),f315(f315(f10(f901(x44782,a891),f901(x44782,a891),x44781),f250(x44782)),x44784)))
% 201.32/201.08 [4490]E(f315(f250(x44901),f315(f315(f10(f901(x44902,a891),a891,x44901),f81(x44902)),f315(f315(f10(f901(x44902,a891),f901(x44902,a891),x44901),f315(f20(x44902,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44902),a318),f315(f315(f9(x44902,f901(x44902,a891),a891),f317(x44902)),x44903)))),x44904))),f315(f315(f32(x44902,f901(x44901,a891)),x44903),f315(f315(f10(f901(x44901,a891),f901(x44901,a891),x44902),f250(x44901)),f315(f9(x44901,x44902,a891),x44904))))
% 201.32/201.08 [4535]E(f315(f315(f143(f900(x45351,a893),x45351),f239(x45351,a893)),f315(f125(f900(x45351,a893),f315(f315(f9(f900(x45351,a893),f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),f900(x45351,a893)),f317(a893)),f244(x45351,a893))),x45352)),f315(f315(f170(x45351,a893),x45353),f128(a893,f315(f290(a893,x45354),f315(f315(f73(a893),x45354),f315(f178(f894(x45351)),x45353))))))),f315(f315(f143(f900(x45351,a893),x45351),f239(x45351,a893)),f315(f125(f900(x45351,a893),f315(f315(f9(f900(x45351,a893),f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),f900(x45351,a893)),f317(a893)),f315(f315(f9(f900(x45351,a893),a893,a893),f315(f315(f10(a893,f901(a893,a893),f900(x45351,a893)),f73(a893)),f244(x45351,a893))),x45354))),x45352)),f315(f315(f170(x45351,a893),x45353),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(x45351)),x45353)))))))
% 201.32/201.08 [4536]E(f315(a101,f315(f315(f222(a893),f315(f178(f894(x45361)),x45362)),f315(f131(a893,f894(x45363),f315(f9(f894(x45363),a893,a893),f315(f315(f10(a893,f901(a893,a893),f894(x45363)),f222(a893)),f315(f315(f9(f894(x45363),a893,a893),f315(f315(f10(a893,f901(a893,a893),f894(x45363)),f3(a893)),f178(f894(x45363)))),f315(a101,f2(a893))))),f2(a893)),f315(f157(f894(x45363)),f315(f125(f894(x45363),f315(f315(f10(a891,a891,f894(x45363)),a310),f315(f315(f9(f894(x45363),f894(x45363),a891),a312),f102(x45363)))),x45364))))),f315(f315(f222(a893),f315(a101,f315(f178(f894(x45361)),x45362))),f315(f131(a893,f894(x45363),f315(f9(f894(x45363),a893,a893),f315(f315(f10(a893,f901(a893,a893),f894(x45363)),f222(a893)),f178(f894(x45363)))),f2(a893)),f315(f157(f894(x45363)),x45364))))
% 201.32/201.08 [4489]E(f315(f315(f123(x44891),f165(x44891,x44892,x44893)),f165(x44891,x44894,f315(f250(a893),f315(f315(f9(a893,f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),a893),f317(a893)),f315(f315(f9(a893,a893,a893),f73(a893)),f315(f178(f894(x44891)),x44892)))),x44893)))),f165(x44891,f315(f315(f123(x44891),x44892),x44894),x44893))
% 201.32/201.08 [4537]E(f31(f901(x45371,a891),f315(f250(f901(x45371,a891)),f315(f315(f10(f901(x45372,a891),a891,f901(x45371,a891)),f80(x45372)),f315(f315(f10(f901(x45372,a891),f901(x45372,a891),f901(x45371,a891)),f315(f20(x45372,a891,a891),f315(f315(f10(a891,f901(a891,a891),x45372),a313),f315(f315(f9(x45372,f901(x45372,a891),a891),f317(x45372)),x45373)))),f315(f315(f9(f901(x45371,a891),f901(x45372,f901(x45371,a891)),f901(x45372,a891)),f315(f315(f10(f901(f901(x45371,a891),a891),f901(f901(x45372,f901(x45371,a891)),f901(x45372,a891)),f901(x45371,a891)),f10(f901(x45371,a891),a891,x45372)),a312)),x45374))))),f315(f315(f32(x45372,f901(x45371,a891)),x45373),x45374))
% 201.32/201.08 [4538]E(f30(f901(x45381,a891),f315(f250(f901(x45381,a891)),f315(f315(f10(f901(x45382,a891),a891,f901(x45381,a891)),f80(x45382)),f315(f315(f10(f901(x45382,a891),f901(x45382,a891),f901(x45381,a891)),f315(f20(x45382,a891,a891),f315(f315(f10(a891,f901(a891,a891),x45382),a313),f315(f315(f9(x45382,f901(x45382,a891),a891),f317(x45382)),x45383)))),f315(f315(f9(f901(x45381,a891),f901(x45382,f901(x45381,a891)),f901(x45382,a891)),f315(f315(f10(f901(f901(x45381,a891),a891),f901(f901(x45382,f901(x45381,a891)),f901(x45382,a891)),f901(x45381,a891)),f10(f901(x45381,a891),a891,x45382)),a312)),x45384))))),f315(f315(f33(x45382,f901(x45381,a891)),x45383),x45384))
% 201.32/201.08 [4545]E(f315(f315(f140(f894(x45451)),f315(f315(f140(x45451),x45452),f315(f131(f894(x45451),f894(x45451),f123(x45451),f102(x45451)),f315(f315(f143(f894(x45451),f894(x45451)),f145(f894(x45451),x45451,f102(x45451),f315(f315(f10(f894(x45451),f901(f894(x45451),f894(x45451)),x45451),f18(f894(x45451),f894(x45451))),f315(f315(f9(x45451,f894(x45451),f894(x45451)),f140(x45451)),f102(x45451))))),x45453)))),f168(x45451,f315(f315(f140(f894(x45451)),x45454),f315(f131(f894(f894(x45451)),f894(f894(x45451)),f123(f894(x45451)),f102(f894(x45451))),f315(f315(f143(f894(x45451),f894(f894(x45451))),f145(f894(f894(x45451)),x45451,f102(f894(x45451)),f315(f18(f901(f894(x45451),f894(f894(x45451))),x45451),f315(f315(f9(f894(x45451),f894(f894(x45451)),f894(f894(x45451))),f140(f894(x45451))),f102(f894(x45451)))))),x45453))))),f168(x45451,f315(f315(f140(f894(x45451)),f315(f315(f140(x45451),x45452),x45454)),x45453)))
% 201.32/201.08 [4552]E(f315(f250(f900(x45521,x45521)),f315(f245(x45521,x45521,a891),f315(f315(f9(x45521,f901(f900(x45522,x45522),a891),f901(x45521,a891)),f315(f315(f10(f901(x45521,f901(f901(f900(x45522,x45522),a891),a891)),f901(f901(f900(x45522,x45522),a891),f901(x45521,a891)),x45521),f9(x45521,f901(f900(x45522,x45522),a891),a891)),f315(f315(f10(f901(x45521,f900(x45522,x45522)),f901(x45521,f901(f901(f900(x45522,x45522),a891),a891)),x45521),f315(f10(f900(x45522,x45522),f901(f901(f900(x45522,x45522),a891),a891),x45521),f317(f900(x45522,x45522)))),f315(f315(f9(x45521,f901(x45521,x45522),f901(x45521,f900(x45522,x45522))),f315(f315(f10(f901(x45522,f900(x45522,x45522)),f901(f901(x45521,x45522),f901(x45521,f900(x45522,x45522))),x45521),f10(x45522,f900(x45522,x45522),x45521)),f315(f315(f10(x45522,f901(x45522,f900(x45522,x45522)),x45521),f240(x45522,x45522)),x45523))),x45523)))),x45524))),f315(f315(f276(x45522,x45521),x45524),x45523))
% 201.32/201.08 [3694]E(f315(f315(f143(x36941,x36942),x36943),f158(x36941,x36944,x36945)),f158(x36942,x36944,f315(x36943,x36945)))
% 201.32/201.08 [4024]E(f119(x40241,x40242,x40243,f115(x40241,x40244,x40245)),f115(x40242,f315(x40243,x40244),f119(x40241,x40242,x40243,x40245)))
% 201.32/201.08 [4254]E(f315(f68(x42541,x42542,x42543,x42544,x42545),x42544),x42545)
% 201.32/201.08 [4306]E(f241(x43061,x43062,x43063,f231(x43062,x43061,x43064),f231(x43063,x43062,x43065)),f231(x43063,x43061,f241(x43063,x43062,x43061,x43065,x43064)))
% 201.32/201.08 [3885]E(f315(f315(f245(x38851,x38852,x38853),x38854),x38855),f315(f315(x38854,f315(f239(x38851,x38852),x38855)),f315(f244(x38851,x38852),x38855)))
% 201.32/201.08 [3919]E(f315(f315(f315(f58(x39191,x39192,x39193),x39194),x39195),f177(f901(x39192,a891))),x39195)
% 201.32/201.08 [4194]E(f315(f66(f894(x41941),f894(x41942),f894(x41943),f315(f143(x41941,x41942),x41944)),f315(f143(x41943,x41941),x41945)),f315(f143(x41943,x41942),f315(f66(x41941,x41942,x41943,x41944),x41945)))
% 201.32/201.08 [4268]E(f78(x42681,f59(x42682,x42681,x42683,x42684,x42685)),f315(f315(f57(x42682,x42681,x42683),x42684),x42685))
% 201.32/201.08 [4302]E(f315(f315(f73(a893),f315(f315(f73(a893),f315(x43021,f315(f239(x43022,x43023),x43024))),f315(x43025,f315(f244(x43022,x43023),x43024)))),f315(a101,f2(a893))),f249(x43022,x43023,x43021,x43025,x43024))
% 201.32/201.08 [3822]E(f315(f315(f164(x38221),x38222),f315(f315(f143(x38223,x38221),x38224),x38225)),f315(f315(f143(x38223,x38221),x38224),f315(f315(f164(x38223),x38222),x38225)))
% 201.32/201.08 [3823]E(f315(f315(f127(x38231),x38232),f315(f315(f143(x38233,x38231),x38234),x38235)),f315(f315(f143(x38233,x38231),x38234),f315(f315(f127(x38233),x38232),x38235)))
% 201.32/201.08 [3854]E(f315(f315(f143(x38541,x38542),x38543),f315(f315(f140(x38541),x38544),x38545)),f315(f315(f140(x38542),f315(x38543,x38544)),f315(f315(f143(x38541,x38542),x38543),x38545)))
% 201.32/201.08 [3915]E(f315(f298(x39151,x39152,x39153),f315(f315(f297(x39151),x39154),x39155)),f315(f315(f297(x39152),f315(x39153,x39154)),f315(f298(x39151,x39152,x39153),x39155)))
% 201.32/201.08 [3943]E(f162(x39431,f315(f315(f140(x39431),x39432),x39433),f315(f315(f140(x39431),x39434),x39435)),f315(f315(f140(x39431),x39432),f315(f315(f140(x39431),x39434),f162(x39431,x39433,x39435))))
% 201.32/201.08 [3979]E(f315(f315(f170(x39791,x39792),f315(f315(f164(x39791),x39793),x39794)),f315(f315(f164(x39792),x39793),x39795)),f315(f315(f164(f900(x39791,x39792)),x39793),f315(f315(f170(x39791,x39792),x39794),x39795)))
% 201.32/201.08 [3980]E(f315(f315(f170(x39801,x39802),f315(f315(f127(x39801),x39803),x39804)),f315(f315(f127(x39802),x39803),x39805)),f315(f315(f127(f900(x39801,x39802)),x39803),f315(f315(f170(x39801,x39802),x39804),x39805)))
% 201.32/201.08 [3989]E(f315(f315(f148(x39891,f315(f315(f140(x39891),x39892),x39893)),f315(a101,x39894)),x39895),f315(f315(f140(x39891),x39892),f315(f315(f148(x39891,x39893),x39894),x39895)))
% 201.32/201.08 [3992]E(f315(f315(f123(x39921),f315(f315(f143(x39922,x39921),x39923),x39924)),f315(f315(f143(x39922,x39921),x39923),x39925)),f315(f315(f143(x39922,x39921),x39923),f315(f315(f123(x39922),x39924),x39925)))
% 201.32/201.08 [3996]E(f315(f315(x39961,x39962),f315(f315(f233(x39963,x39964,x39961),x39962),x39965)),f315(f315(f233(x39963,x39964,x39961),x39962),f315(a101,x39965)))
% 201.32/201.08 [4028]E(f152(x40281,x40282,x40283,f315(f315(f140(x40281),x40284),x40285)),f315(f315(f123(x40282),f315(x40283,x40284)),f152(x40281,x40282,x40283,x40285)))
% 201.32/201.08 [4040]E(f315(f315(f277(x40401,x40402,x40403),f315(f274(x40402,x40401),x40404)),f315(f274(x40403,x40402),x40405)),f315(f274(x40403,x40401),f315(f315(f277(x40403,x40402,x40401),x40405),x40404)))
% 201.32/201.08 [4072]E(f315(f315(f315(f172(f894(x40721),f894(x40721)),x40722),f156(x40721)),f315(f315(f143(x40723,x40721),x40724),x40725)),f315(f315(f143(x40723,x40721),x40724),f315(f315(f315(f172(f894(x40723),f894(x40723)),x40722),f156(x40723)),x40725)))
% 201.32/201.08 [4073]E(f315(f315(f247(x40731,x40732,x40731,x40733),f315(f240(x40732,x40731),x40734)),x40735),f315(x40735,x40734))
% 201.32/201.08 [4096]E(f144(x40961,x40962,f315(f315(f143(x40963,x40961),x40964),x40965)),f144(x40963,f315(f66(x40961,a893,x40963,x40962),x40964),x40965))
% 201.32/201.08 [4159]E(f166(f900(x41591,x41592),f315(f66(x41592,a891,f900(x41591,x41592),x41593),f244(x41591,x41592)),f315(f315(f170(x41591,x41592),x41594),x41595)),f315(f315(f170(x41591,x41592),x41594),f166(x41592,x41593,x41595)))
% 201.32/201.08 [4164]E(f315(f298(x41641,x41642,f315(f315(f10(x41643,x41642,x41641),x41644),x41645)),f230(f901(x41641,a891))),f315(f298(x41643,x41642,x41644),f315(f298(x41641,x41643,x41645),f230(f901(x41641,a891)))))
% 201.32/201.08 [4177]E(f166(f900(x41771,x41772),f315(f66(x41771,a891,f900(x41771,x41772),x41773),f239(x41771,x41772)),f315(f315(f170(x41771,x41772),x41774),x41775)),f315(f315(f170(x41771,x41772),f166(x41771,x41773,x41774)),x41775))
% 201.32/201.08 [4198]E(f315(f315(f99(f901(x41981,a891)),f315(f299(x41981,x41982,x41983),f315(f315(f297(x41982),x41984),f177(f901(x41982,a891))))),f315(f299(x41981,x41982,x41983),x41985)),f315(f299(x41981,x41982,x41983),f315(f315(f297(x41982),x41984),x41985)))
% 201.32/201.08 [4253]E(f315(f315(f123(f900(x42531,x42532)),f315(f315(f143(x42532,f900(x42531,x42532)),f315(f240(x42531,x42532),x42533)),x42534)),f52(x42531,x42532,x42535,x42534)),f52(x42531,x42532,f315(f315(f140(x42531),x42533),x42535),x42534))
% 201.32/201.08 [4255]E(f315(f315(f143(x42551,x42552),x42553),f166(x42551,f315(f66(x42552,a891,x42551,x42554),x42553),x42555)),f166(x42552,x42554,f315(f315(f143(x42551,x42552),x42553),x42555)))
% 201.32/201.08 [4260]E(f315(f131(x42601,x42602,f315(f9(x42602,x42601,x42601),f315(f9(x42601,x42602,x42601),x42603)),x42604),f315(f157(x42602),f315(f157(x42602),x42605))),f315(f131(x42601,x42602,x42603,x42604),x42605))
% 201.32/201.08 [4363]P107(f315(f315(f223(f901(x43631,a891)),f315(f298(x43632,x43631,x43633),f315(f315(f90(f901(x43632,a891)),x43634),x43635))),f315(f315(f90(f901(x43631,a891)),f315(f298(x43632,x43631,x43633),x43634)),f315(f298(x43632,x43631,x43633),x43635))))
% 201.32/201.08 [4364]P107(f315(f315(f223(f901(x43641,a891)),f315(f273(x43642,x43641,x43643),f315(f315(f90(f901(x43642,a891)),x43644),x43645))),f315(f315(f90(f901(x43641,a891)),f315(f273(x43642,x43641,x43643),x43644)),f315(f273(x43642,x43641,x43643),x43645))))
% 201.32/201.08 [4463]E(f315(f244(x44631,x44632),f315(f246(x44633,x44631,x44632,x44632,x44634,f25(x44632)),x44635)),f315(f244(x44633,x44632),x44635))
% 201.32/201.08 [4464]E(f315(f239(x44641,x44642),f315(f246(x44641,x44641,x44643,x44642,f25(x44641),x44644),x44645)),f315(f239(x44641,x44643),x44645))
% 201.32/201.08 [3666]E(f315(f315(f315(f315(f193(x36661),x36662),x36663),x36664),x36665),f181(x36661,x36662))
% 201.32/201.08 [3667]E(f315(f315(f315(f315(f197(x36671),x36672),x36673),x36674),x36675),f188(x36671,x36672))
% 201.32/201.08 [4029]E(f315(f315(f32(x40291,f901(x40292,a891)),f315(f315(f297(x40291),x40293),x40294)),x40295),f315(f315(f90(f901(x40292,a891)),f315(x40295,x40293)),f315(f315(f32(x40291,f901(x40292,a891)),x40294),x40295)))
% 201.32/201.08 [4030]E(f315(f315(f33(x40301,f901(x40302,a891)),f315(f315(f297(x40301),x40303),x40304)),x40305),f315(f315(f99(f901(x40302,a891)),f315(x40305,x40303)),f315(f315(f33(x40301,f901(x40302,a891)),x40304),x40305)))
% 201.32/201.08 [4080]E(f315(f107(x40801,x40802,f315(x40803,x40804)),f315(f315(f9(x40801,a88,f895(x40802)),x40805),x40804)),f315(f186(x40801,x40802,x40803,x40805),x40804))
% 201.32/201.08 [4090]E(f315(f315(f99(f901(x40901,a891)),f315(f298(x40902,x40901,x40903),x40904)),f315(f298(x40902,x40901,x40903),x40905)),f315(f298(x40902,x40901,x40903),f315(f315(f99(f901(x40902,a891)),x40904),x40905)))
% 201.32/201.08 [4091]E(f315(f315(f99(f901(x40911,a891)),f315(f273(x40912,x40911,x40913),x40914)),f315(f273(x40912,x40911,x40913),x40915)),f315(f273(x40912,x40911,x40913),f315(f315(f99(f901(x40912,a891)),x40914),x40915)))
% 201.32/201.08 [4092]E(f315(f315(f99(f901(x40921,a891)),f315(f299(x40921,x40922,x40923),x40924)),f315(f299(x40921,x40922,x40923),x40925)),f315(f299(x40921,x40922,x40923),f315(f315(f99(f901(x40922,a891)),x40924),x40925)))
% 201.32/201.08 [4093]E(f315(f315(f3(f901(x40931,a891)),f315(f299(x40931,x40932,x40933),x40934)),f315(f299(x40931,x40932,x40933),x40935)),f315(f299(x40931,x40932,x40933),f315(f315(f3(f901(x40932,a891)),x40934),x40935)))
% 201.32/201.08 [4094]E(f315(f315(f90(f901(x40941,a891)),f315(f299(x40941,x40942,x40943),x40944)),f315(f299(x40941,x40942,x40943),x40945)),f315(f299(x40941,x40942,x40943),f315(f315(f90(f901(x40942,a891)),x40944),x40945)))
% 201.32/201.08 [4155]E(f315(f315(f148(x41551,f315(f315(f123(x41551),x41552),f315(f315(f140(x41551),x41553),x41554))),f315(f178(f894(x41551)),x41552)),x41555),f315(f315(f123(x41551),x41552),f315(f315(f140(x41551),x41555),x41554)))
% 201.32/201.08 [4162]E(f315(f315(f32(x41621,f901(x41622,a891)),x41623),f315(f315(f10(f901(x41622,a891),f901(x41622,a891),x41621),f315(f297(x41622),x41624)),x41625)),f315(f315(f297(x41622),x41624),f315(f315(f32(x41621,f901(x41622,a891)),x41623),x41625)))
% 201.32/201.08 [4315]E(f315(f315(f143(x43151,x43152),x43153),f315(f125(x43151,f315(f66(x43152,a891,x43151,x43154),x43153)),x43155)),f315(f125(x43152,x43154),f315(f315(f143(x43151,x43152),x43153),x43155)))
% 201.32/201.08 [4321]E(f315(f178(f894(x43211)),f315(f125(x43211,x43212),f315(f315(f143(x43213,x43211),x43214),x43215))),f315(f178(f894(x43213)),f315(f125(x43213,f315(f66(x43211,a891,x43213,x43212),x43214)),x43215)))
% 201.32/201.08 [4528]E(f315(f145(f894(f900(x45281,x45282)),x45282,f102(f900(x45281,x45282)),f315(f315(f9(x45282,f901(f894(x45282),f894(f900(x45281,x45282))),f901(f894(x45282),f894(f900(x45281,x45282)))),f315(f315(f10(f901(f894(f900(x45281,x45282)),f894(f900(x45281,x45282))),f901(f901(f894(x45282),f894(f900(x45281,x45282))),f901(f894(x45282),f894(f900(x45281,x45282)))),x45282),f10(f894(f900(x45281,x45282)),f894(f900(x45281,x45282)),f894(x45282))),f315(f315(f10(f900(x45281,x45282),f901(f894(f900(x45281,x45282)),f894(f900(x45281,x45282))),x45282),f140(f900(x45281,x45282))),f315(f240(x45281,x45282),x45283)))),f315(f170(x45281,x45282),x45284))),x45285),f315(f315(f170(x45281,x45282),f315(f315(f140(x45281),x45283),x45284)),x45285))
% 201.32/201.08 [4021]E(f315(f315(f148(x40211,f315(f315(f148(x40211,x40212),x40213),x40214)),x40213),x40215),f315(f315(f148(x40211,x40212),x40213),x40215))
% 201.32/201.08 [4074]E(f315(f272(x40741,x40742),f315(f315(f297(f900(x40741,x40742)),f315(f315(f240(x40741,x40742),x40743),x40744)),x40745)),f315(f315(f297(x40742),x40744),f315(f272(x40741,x40742),x40745)))
% 201.32/201.08 [4075]E(f315(f252(x40751,x40752),f315(f315(f297(f900(x40751,x40752)),f315(f315(f240(x40751,x40752),x40753),x40754)),x40755)),f315(f315(f297(x40751),x40753),f315(f252(x40751,x40752),x40755)))
% 201.32/201.08 [4120]E(f111(x41201,x41202,f315(x41203,x41204),f315(f315(f9(x41201,a88,f895(f897(x41202))),x41205),x41204)),f315(f184(x41201,x41202,x41203,x41205),x41204))
% 201.32/201.08 [4148]E(f315(f315(f99(f901(f900(x41481,x41482),a891)),f315(f315(f242(x41481,x41482),x41483),x41484)),f315(f315(f242(x41481,x41482),x41485),x41484)),f315(f315(f242(x41481,x41482),f315(f315(f99(f901(x41481,a891)),x41483),x41485)),x41484))
% 201.32/201.08 [4149]E(f315(f315(f3(f901(f900(x41491,x41492),a891)),f315(f315(f242(x41491,x41492),x41493),x41494)),f315(f315(f242(x41491,x41492),x41495),x41494)),f315(f315(f242(x41491,x41492),f315(f315(f3(f901(x41491,a891)),x41493),x41495)),x41494))
% 201.32/201.08 [4150]E(f315(f315(f90(f901(f900(x41501,x41502),a891)),f315(f315(f242(x41501,x41502),x41503),x41504)),f315(f315(f242(x41501,x41502),x41505),x41504)),f315(f315(f242(x41501,x41502),f315(f315(f90(f901(x41501,a891)),x41503),x41505)),x41504))
% 201.32/201.08 [4209]E(f315(f315(f90(f901(x42091,a891)),f315(f315(f32(x42092,f901(x42091,a891)),x42093),x42094)),f315(f315(f32(x42092,f901(x42091,a891)),x42095),x42094)),f315(f315(f32(x42092,f901(x42091,a891)),f315(f315(f99(f901(x42092,a891)),x42093),x42095)),x42094))
% 201.32/201.08 [4210]E(f315(f315(f99(f901(x42101,a891)),f315(f315(f33(x42102,f901(x42101,a891)),x42103),x42104)),f315(f315(f33(x42102,f901(x42101,a891)),x42105),x42104)),f315(f315(f33(x42102,f901(x42101,a891)),f315(f315(f99(f901(x42102,a891)),x42103),x42105)),x42104))
% 201.32/201.08 [4224]E(f315(f315(f32(x42241,f901(x42242,a891)),x42243),f315(f315(f10(f901(x42242,a891),f901(x42242,a891),x42241),f315(f99(f901(x42242,a891)),x42244)),x42245)),f315(f315(f99(f901(x42242,a891)),x42244),f315(f315(f32(x42241,f901(x42242,a891)),x42243),x42245)))
% 201.32/201.08 [4225]E(f315(f315(f33(x42251,f901(x42252,a891)),x42253),f315(f315(f10(f901(x42252,a891),f901(x42252,a891),x42251),f315(f3(f901(x42252,a891)),x42254)),x42255)),f315(f315(f3(f901(x42252,a891)),x42254),f315(f315(f32(x42251,f901(x42252,a891)),x42253),x42255)))
% 201.32/201.08 [4226]E(f315(f315(f33(x42261,f901(x42262,a891)),x42263),f315(f315(f10(f901(x42262,a891),f901(x42262,a891),x42261),f315(f90(f901(x42262,a891)),x42264)),x42265)),f315(f315(f90(f901(x42262,a891)),x42264),f315(f315(f33(x42261,f901(x42262,a891)),x42263),x42265)))
% 201.32/201.08 [4280]E(f174(f894(x42801),f315(f315(f140(x42801),x42802),x42803),f315(f315(f10(f894(x42801),f894(x42801),a893),f315(f140(x42801),x42804)),f315(f315(f9(a893,x42801,f894(x42801)),f148(x42801,x42803)),x42802)),x42805),f315(f315(f148(x42801,f315(f315(f140(x42801),x42804),x42803)),x42805),x42802))
% 201.32/201.08 [4284]E(f315(f315(f32(x42841,f901(f900(x42842,x42843),a891)),x42844),f315(f315(f10(f901(f900(x42843,x42842),a891),f901(f900(x42842,x42843),a891),x42841),f274(x42843,x42842)),x42845)),f315(f274(x42843,x42842),f315(f315(f32(x42841,f901(f900(x42843,x42842),a891)),x42844),x42845)))
% 201.32/201.08 [4285]E(f315(f315(f33(x42851,f901(f900(x42852,x42853),a891)),x42854),f315(f315(f10(f901(f900(x42853,x42852),a891),f901(f900(x42852,x42853),a891),x42851),f274(x42853,x42852)),x42855)),f315(f274(x42853,x42852),f315(f315(f33(x42851,f901(f900(x42853,x42852),a891)),x42854),x42855)))
% 201.32/201.08 [4386]P107(f315(f315(f223(f901(x43861,a891)),f315(f315(f3(f901(x43861,a891)),f315(f298(x43862,x43861,x43863),x43864)),f315(f298(x43862,x43861,x43863),x43865))),f315(f298(x43862,x43861,x43863),f315(f315(f3(f901(x43862,a891)),x43864),x43865))))
% 201.32/201.08 [4531]E(f315(f145(f894(f900(x45311,x45312)),x45311,f102(f900(x45311,x45312)),f315(f315(f9(x45311,f901(f894(x45311),f894(f900(x45311,x45312))),f901(f894(x45311),f894(f900(x45311,x45312)))),f315(f315(f10(f901(f894(f900(x45311,x45312)),f894(f900(x45311,x45312))),f901(f901(f894(x45311),f894(f900(x45311,x45312))),f901(f894(x45311),f894(f900(x45311,x45312)))),x45311),f10(f894(f900(x45311,x45312)),f894(f900(x45311,x45312)),f894(x45311))),f315(f315(f10(f900(x45311,x45312),f901(f894(f900(x45311,x45312)),f894(f900(x45311,x45312))),x45311),f140(f900(x45311,x45312))),f315(f315(f9(x45311,x45312,f900(x45311,x45312)),f240(x45311,x45312)),x45313)))),f315(f315(f9(f894(x45311),f894(x45312),f894(f900(x45311,x45312))),f170(x45311,x45312)),x45314))),x45315),f315(f315(f170(x45311,x45312),x45315),f315(f315(f140(x45312),x45313),x45314)))
% 201.32/201.08 [4249]E(f315(f315(f99(f901(x42491,a891)),f315(f273(x42492,x42491,x42493),x42494)),f315(f273(x42492,x42491,x42495),x42494)),f315(f273(x42492,x42491,f315(f315(f99(f901(f900(x42492,x42491),a891)),x42493),x42495)),x42494))
% 201.32/201.08 [4286]E(f315(f315(f123(f900(x42861,x42862)),f315(f315(f170(x42861,x42862),x42863),f315(f315(f164(x42862),f315(f178(f894(x42861)),x42863)),x42864))),f315(f315(f170(x42861,x42862),x42865),f315(f315(f127(x42862),f315(f178(f894(x42861)),x42863)),x42864))),f315(f315(f170(x42861,x42862),f315(f315(f123(x42861),x42863),x42865)),x42864))
% 201.32/201.08 [4389]E(f315(f315(f242(x43891,x43892),x43893),f315(f315(f20(x43891,f901(x43892,a891),f901(x43892,a891)),f315(f315(f10(f901(x43892,a891),f901(f901(x43892,a891),f901(x43892,a891)),x43891),f99(f901(x43892,a891))),x43894)),x43895)),f315(f315(f99(f901(f900(x43891,x43892),a891)),f315(f315(f242(x43891,x43892),x43893),x43894)),f315(f315(f242(x43891,x43892),x43893),x43895)))
% 201.32/201.08 [4390]E(f315(f315(f242(x43901,x43902),x43903),f315(f315(f20(x43901,f901(x43902,a891),f901(x43902,a891)),f315(f315(f10(f901(x43902,a891),f901(f901(x43902,a891),f901(x43902,a891)),x43901),f3(f901(x43902,a891))),x43904)),x43905)),f315(f315(f3(f901(f900(x43901,x43902),a891)),f315(f315(f242(x43901,x43902),x43903),x43904)),f315(f315(f242(x43901,x43902),x43903),x43905)))
% 201.32/201.08 [4391]E(f315(f315(f242(x43911,x43912),x43913),f315(f315(f20(x43911,f901(x43912,a891),f901(x43912,a891)),f315(f315(f10(f901(x43912,a891),f901(f901(x43912,a891),f901(x43912,a891)),x43911),f90(f901(x43912,a891))),x43914)),x43915)),f315(f315(f90(f901(f900(x43911,x43912),a891)),f315(f315(f242(x43911,x43912),x43913),x43914)),f315(f315(f242(x43911,x43912),x43913),x43915)))
% 201.32/201.08 [4395]E(f315(f315(f32(x43951,f901(x43952,a891)),x43953),f315(f315(f9(x43951,f901(x43952,a891),f901(x43952,a891)),f315(f315(f10(f901(x43952,a891),f901(f901(x43952,a891),f901(x43952,a891)),x43951),f99(f901(x43952,a891))),x43954)),x43955)),f315(f315(f99(f901(x43952,a891)),f315(f315(f32(x43951,f901(x43952,a891)),x43953),x43954)),x43955))
% 201.32/201.08 [4396]E(f315(f315(f33(x43961,f901(x43962,a891)),x43963),f315(f315(f9(x43961,f901(x43962,a891),f901(x43962,a891)),f315(f315(f10(f901(x43962,a891),f901(f901(x43962,a891),f901(x43962,a891)),x43961),f3(f901(x43962,a891))),x43964)),x43965)),f315(f315(f3(f901(x43962,a891)),f315(f315(f33(x43961,f901(x43962,a891)),x43963),x43964)),x43965))
% 201.32/201.08 [4397]E(f315(f315(f33(x43971,f901(x43972,a891)),x43973),f315(f315(f9(x43971,f901(x43972,a891),f901(x43972,a891)),f315(f315(f10(f901(x43972,a891),f901(f901(x43972,a891),f901(x43972,a891)),x43971),f90(f901(x43972,a891))),x43974)),x43975)),f315(f315(f90(f901(x43972,a891)),f315(f315(f33(x43971,f901(x43972,a891)),x43973),x43974)),x43975))
% 201.32/201.08 [4401]E(f315(f315(f32(x44011,f901(x44012,a891)),x44013),f315(f315(f20(x44011,f901(x44012,a891),f901(x44012,a891)),f315(f315(f10(f901(x44012,a891),f901(f901(x44012,a891),f901(x44012,a891)),x44011),f90(f901(x44012,a891))),x44014)),x44015)),f315(f315(f90(f901(x44012,a891)),f315(f315(f32(x44011,f901(x44012,a891)),x44013),x44014)),f315(f315(f32(x44011,f901(x44012,a891)),x44013),x44015)))
% 201.32/201.08 [4402]E(f315(f315(f33(x44021,f901(x44022,a891)),x44023),f315(f315(f20(x44021,f901(x44022,a891),f901(x44022,a891)),f315(f315(f10(f901(x44022,a891),f901(f901(x44022,a891),f901(x44022,a891)),x44021),f99(f901(x44022,a891))),x44024)),x44025)),f315(f315(f99(f901(x44022,a891)),f315(f315(f33(x44021,f901(x44022,a891)),x44023),x44024)),f315(f315(f33(x44021,f901(x44022,a891)),x44023),x44025)))
% 201.32/201.08 [4415]E(f315(f315(f32(x44151,f901(x44152,a891)),x44153),f315(f315(f20(x44151,f901(x44152,a891),f901(x44152,a891)),f315(f315(f10(f901(x44152,a891),f901(f901(x44152,a891),f901(x44152,a891)),x44151),f90(f901(x44152,a891))),x44154)),x44155)),f315(f315(f90(f901(x44152,a891)),f31(f901(x44152,a891),f315(f298(x44151,f901(x44152,a891),x44154),x44153))),f31(f901(x44152,a891),f315(f298(x44151,f901(x44152,a891),x44155),x44153))))
% 201.32/201.08 [4416]E(f315(f315(f33(x44161,f901(x44162,a891)),x44163),f315(f315(f20(x44161,f901(x44162,a891),f901(x44162,a891)),f315(f315(f10(f901(x44162,a891),f901(f901(x44162,a891),f901(x44162,a891)),x44161),f99(f901(x44162,a891))),x44164)),x44165)),f315(f315(f99(f901(x44162,a891)),f30(f901(x44162,a891),f315(f298(x44161,f901(x44162,a891),x44164),x44163))),f30(f901(x44162,a891),f315(f298(x44161,f901(x44162,a891),x44165),x44163))))
% 201.32/201.08 [4452]E(f315(f315(f127(x44521),f315(f178(f894(x44521)),f166(x44521,x44522,f315(f315(f143(x44523,x44521),x44524),x44525)))),f315(f315(f143(x44523,x44521),x44524),x44525)),f315(f315(f143(x44523,x44521),x44524),f315(f315(f127(x44523),f315(f178(f894(x44523)),f166(x44523,f315(f66(x44521,a891,x44523,x44522),x44524),x44525))),x44525)))
% 201.32/201.08 [4328]E(f315(f315(f123(f900(x43281,x43282)),f315(f315(f170(x43281,x43282),f315(f315(f164(x43281),f315(f178(f894(x43282)),x43283)),x43284)),x43283)),f315(f315(f170(x43281,x43282),f315(f315(f127(x43281),f315(f178(f894(x43282)),x43283)),x43284)),x43285)),f315(f315(f170(x43281,x43282),x43284),f315(f315(f123(x43282),x43283),x43285)))
% 201.32/201.08 [4443]E(f78(x44431,f315(f315(f20(x44431,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44431),a313),f315(f315(f9(x44431,f901(x44431,a891),a891),f317(x44431)),x44432))),f315(f315(f9(x44431,x44433,a891),f315(f315(f10(x44433,f901(x44433,a891),x44431),a312),x44434)),x44435))),f315(f70(x44431,x44433,x44432,x44434),x44435))
% 201.32/201.08 [4444]E(f83(x44441,f315(f315(f20(x44441,a891,a891),f315(f315(f10(a891,f901(a891,a891),x44441),a313),f315(f315(f9(x44441,f901(x44441,a891),a891),f317(x44441)),x44442))),f315(f315(f9(x44441,x44443,a891),f315(f315(f10(x44443,f901(x44443,a891),x44441),a312),x44444)),x44445))),f315(f84(x44441,x44443,x44442,x44444),x44445))
% 201.32/201.08 [4492]E(f315(f315(f79(a1,x44921),f315(f92(a1),f315(f315(f73(a1),x44922),a86))),f315(f315(f20(a1,x44921,x44921),f315(f315(f9(a1,x44921,f901(x44921,x44921)),f315(f315(f10(a891,f901(x44921,f901(x44921,x44921)),a1),f85(x44921)),a182)),f174(x44921,x44923,x44924,x44925))),f315(f315(f10(a893,x44921,a1),x44924),f315(f315(f9(a1,a893,a893),f315(f315(f10(a893,f901(a893,a893),a1),f73(a893)),a93)),x44925)))),f174(x44921,x44923,x44924,f315(f315(f73(a893),f315(f92(a893),x44922)),x44925)))
% 201.32/201.08 [4527]E(f315(f315(f79(a1,x45271),f315(f92(a1),f315(f315(f73(a1),x45272),a86))),f315(f315(f20(a1,x45271,x45271),f315(f315(f9(a1,x45271,f901(x45271,x45271)),f315(f315(f10(a891,f901(x45271,f901(x45271,x45271)),a1),f85(x45271)),a182)),f315(f173(x45271,x45273,x45274),x45275))),f315(f315(f20(a1,x45271,x45271),f315(f315(f10(a893,f901(x45271,x45271),a1),x45274),f315(f315(f9(a1,a893,a893),f315(f315(f10(a893,f901(a893,a893),a1),f73(a893)),a93)),x45275))),f315(f315(f10(a893,x45271,a1),f173(x45271,x45273,x45274)),f315(f315(f9(a1,a893,a893),f315(f315(f10(a893,f901(a893,a893),a1),f73(a893)),a93)),x45275))))),f315(f173(x45271,x45273,x45274),f315(f315(f73(a893),f315(f92(a893),x45272)),x45275)))
% 201.32/201.08 [4560]E(f315(f250(f900(x45601,x45602)),f315(f245(x45601,x45602,a891),f315(f315(f10(f901(x45602,f901(x45603,a891)),f901(x45602,a891),x45601),f315(f10(f901(x45603,a891),a891,x45602),f80(x45603))),f315(f315(f9(x45601,f901(x45602,f901(x45603,a891)),f901(x45602,f901(x45603,a891))),f315(f315(f10(f901(f901(x45603,a891),f901(x45603,a891)),f901(f901(x45602,f901(x45603,a891)),f901(x45602,f901(x45603,a891))),x45601),f10(f901(x45603,a891),f901(x45603,a891),x45602)),f315(f315(f10(f901(x45603,f901(a891,a891)),f901(f901(x45603,a891),f901(x45603,a891)),x45601),f20(x45603,a891,a891)),f315(f315(f10(f901(x45603,a891),f901(x45603,f901(a891,a891)),x45601),f315(f10(a891,f901(a891,a891),x45603),a313)),f315(f315(f9(x45601,f901(f900(x45601,x45603),a891),f901(x45603,a891)),f315(f315(f10(f901(x45603,f901(f901(f900(x45601,x45603),a891),a891)),f901(f901(f900(x45601,x45603),a891),f901(x45603,a891)),x45601),f9(x45603,f901(f900(x45601,x45603),a891),a891)),f315(f315(f10(f901(x45603,f900(x45601,x45603)),f901(x45603,f901(f901(f900(x45601,x45603),a891),a891)),x45601),f315(f10(f900(x45601,x45603),f901(f901(f900(x45601,x45603),a891),a891),x45603),f317(f900(x45601,x45603)))),f240(x45601,x45603)))),x45604))))),f315(f315(f9(x45602,f901(f900(x45603,x45602),a891),f901(x45603,a891)),f315(f315(f10(f901(x45603,f901(f901(f900(x45603,x45602),a891),a891)),f901(f901(f900(x45603,x45602),a891),f901(x45603,a891)),x45602),f9(x45603,f901(f900(x45603,x45602),a891),a891)),f315(f315(f10(f901(x45603,f900(x45603,x45602)),f901(x45603,f901(f901(f900(x45603,x45602),a891),a891)),x45602),f315(f10(f900(x45603,x45602),f901(f901(f900(x45603,x45602),a891),a891),x45603),f317(f900(x45603,x45602)))),f315(f9(x45603,x45602,f900(x45603,x45602)),f240(x45603,x45602))))),x45605))))),f315(f315(f277(x45601,x45603,x45602),x45604),x45605))
% 201.32/201.08 [4178]E(f213(x41781,x41782,x41783,x41784,f209(x41781,x41782,x41785,x41786)),f315(f315(x41784,x41785),x41786))
% 201.32/201.08 [4179]E(f214(x41791,x41792,x41793,x41794,f209(x41791,x41792,x41795,x41796)),f315(f315(x41794,x41795),x41796))
% 201.32/201.08 [4304]E(f116(x43041,x43042,x43043,x43044,f115(x43042,x43045,x43046)),f315(f315(f315(x43044,x43045),x43046),f116(x43041,x43042,x43043,x43044,x43046)))
% 201.32/201.08 [4323]E(f68(x43231,x43232,f68(x43231,x43232,x43233,x43234,x43235),x43234,x43236),f68(x43231,x43232,x43233,x43234,x43236))
% 201.32/201.08 [4431]E(f315(f66(f900(x44311,x44312),x44312,f900(x44313,x44314),f244(x44311,x44312)),f246(x44313,x44311,x44314,x44312,x44315,x44316)),f315(f66(x44314,x44312,f900(x44313,x44314),x44316),f244(x44313,x44314)))
% 201.32/201.08 [4432]E(f315(f66(f900(x44321,x44322),x44321,f900(x44323,x44324),f239(x44321,x44322)),f246(x44323,x44321,x44324,x44322,x44325,x44326)),f315(f66(x44323,x44321,f900(x44323,x44324),x44325),f239(x44323,x44324)))
% 201.32/201.08 [4050]E(f315(f315(f66(x40501,x40502,x40503,x40504),x40505),x40506),f315(x40504,f315(x40505,x40506)))
% 201.32/201.08 [4188]E(f212(x41881,f900(x41882,f895(x41882)),x41883,f315(f245(x41882,f895(x41882),x41881),x41884),f315(f124(x41882),f115(x41882,x41885,x41886))),f315(f315(x41884,x41885),x41886))
% 201.32/201.08 [4238]E(f215(x42381,x42382,x42383,x42384,f209(x42381,x42382,x42385,x42386)),f315(f315(f73(a893),f315(f315(f73(a893),f315(x42383,x42385)),f315(x42384,x42386))),f315(a101,f2(a893))))
% 201.32/201.08 [3852]E(f315(f315(f245(x38521,x38522,x38523),x38524),f315(f315(f240(x38521,x38522),x38525),x38526)),f315(f315(x38524,x38525),x38526))
% 201.32/201.08 [3912]E(f315(f315(f315(f10(x39121,x39122,x39123),x39124),x39125),x39126),f315(x39124,f315(x39125,x39126)))
% 201.32/201.08 [3913]E(f315(f315(f315(f9(x39131,x39132,x39133),x39134),x39135),x39136),f315(f315(x39134,x39136),x39135))
% 201.32/201.08 [3929]E(f315(f315(f315(f20(x39291,x39292,x39293),x39294),x39295),x39296),f315(f315(x39294,x39296),f315(x39295,x39296)))
% 201.32/201.08 [3952]E(f315(f145(x39521,x39522,x39523,x39524),f315(f315(f140(x39522),x39525),x39526)),f315(f315(x39524,x39525),x39526))
% 201.32/201.08 [3988]E(f158(f900(x39881,x39882),f315(f315(f221(a893),x39883),x39884),f315(f315(f240(x39881,x39882),x39885),x39886)),f315(f315(f170(x39881,x39882),f158(x39881,x39883,x39885)),f158(x39882,x39884,x39886)))
% 201.32/201.08 [4054]E(f315(f315(f140(f900(x40541,x40542)),f315(f315(f240(x40541,x40542),x40543),x40544)),f315(f315(f170(x40541,x40542),x40545),x40546)),f315(f315(f170(x40541,x40542),f315(f315(f140(x40541),x40543),x40545)),f315(f315(f140(x40542),x40544),x40546)))
% 201.32/201.08 [4055]E(f315(f315(f143(x40551,x40552),x40553),f315(f315(f148(x40551,x40554),x40555),x40556)),f315(f315(f148(x40552,f315(f315(f143(x40551,x40552),x40553),x40554)),x40555),f315(x40553,x40556)))
% 201.32/201.08 [4079]E(f315(f315(f243(x40791,x40792,x40793,x40794),x40795),x40796),f315(x40794,f315(f315(f240(x40791,x40792),x40795),x40796)))
% 201.32/201.08 [4095]E(f315(f131(x40951,x40952,x40953,x40954),f315(f315(f140(x40952),x40955),x40956)),f315(f131(x40951,x40952,x40953,f315(f315(x40953,x40954),x40955)),x40956))
% 201.32/201.08 [4121]E(f248(x41211,x41212,x41213,x41214,f315(f315(f240(x41211,x41212),x41215),x41216)),f315(f315(x41214,x41215),x41216))
% 201.32/201.08 [4202]E(f315(f315(f33(x42021,f901(x42022,a891)),x42023),f315(f66(x42024,f901(x42022,a891),x42021,x42025),x42026)),f315(f315(f33(x42024,f901(x42022,a891)),f315(f298(x42021,x42024,x42026),x42023)),x42025))
% 201.32/201.08 [4252]E(f315(f315(f143(x42521,x42522),x42523),f315(f315(f143(x42524,x42521),x42525),x42526)),f315(f315(f143(x42524,x42522),f315(f66(x42521,x42522,x42524,x42523),x42525)),x42526))
% 201.32/201.08 [4258]E(f315(f298(x42581,x42582,f315(f66(x42583,x42582,x42581,x42584),x42585)),x42586),f315(f298(x42583,x42582,x42584),f315(f298(x42581,x42583,x42585),x42586)))
% 201.32/201.08 [4259]E(f315(f299(x42591,x42592,f315(f66(x42593,x42592,x42591,x42594),x42595)),x42596),f315(f299(x42591,x42593,x42595),f315(f299(x42593,x42592,x42594),x42596)))
% 201.32/201.08 [4287]E(f315(f131(x42871,x42872,x42873,f315(f131(x42871,x42872,x42873,x42874),x42875)),x42876),f315(f131(x42871,x42872,x42873,x42874),f315(f315(f123(x42872),x42875),x42876)))
% 201.32/201.08 [4421]E(f315(f246(x44211,x44211,x44212,x44213,f25(x44211),x44214),f315(f315(f240(x44211,x44212),x44215),x44216)),f315(f315(f240(x44211,x44213),x44215),f315(x44214,x44216)))
% 201.32/201.08 [4422]E(f315(f246(x44221,x44222,x44223,x44223,x44224,f25(x44223)),f315(f315(f240(x44221,x44223),x44225),x44226)),f315(f315(f240(x44222,x44223),f315(x44224,x44225)),x44226))
% 201.32/201.08 [4510]E(f315(f315(f143(f900(x45101,x45102),f900(x45101,x45103)),f315(f245(x45101,x45102,f900(x45101,x45103)),f315(f315(f9(x45101,f901(x45102,x45103),f901(x45102,f900(x45101,x45103))),f315(f315(f10(f901(x45103,f900(x45101,x45103)),f901(f901(x45102,x45103),f901(x45102,f900(x45101,x45103))),x45101),f10(x45103,f900(x45101,x45103),x45102)),f240(x45101,x45103))),x45104))),f315(f315(f170(x45101,x45102),x45105),x45106)),f315(f315(f170(x45101,x45103),x45105),f315(f315(f143(x45102,x45103),x45104),x45106)))
% 201.32/201.08 [4105]E(f315(f315(f66(x41051,x41052,x41053,f315(f18(x41052,x41051),x41054)),x41055),x41056),x41054)
% 201.32/201.08 [4137]E(f315(f298(x41371,x41372,x41373),f315(f298(x41374,x41371,x41375),x41376)),f315(f298(x41374,x41372,f315(f315(f10(x41371,x41372,x41374),x41373),x41375)),x41376))
% 201.32/201.08 [4143]E(f315(f315(f32(x41431,f901(x41432,a891)),f315(f298(x41433,x41431,x41434),x41435)),x41436),f315(f315(f32(x41433,f901(x41432,a891)),x41435),f315(f315(f10(x41431,f901(x41432,a891),x41433),x41436),x41434)))
% 201.32/201.08 [4144]E(f315(f315(f33(x41441,f901(x41442,a891)),f315(f298(x41443,x41441,x41444),x41445)),x41446),f315(f315(f33(x41443,f901(x41442,a891)),x41445),f315(f315(f10(x41441,f901(x41442,a891),x41443),x41446),x41444)))
% 201.32/201.08 [4145]E(f315(f315(f32(x41451,f901(x41452,a891)),x41453),f315(f315(f10(x41454,f901(x41452,a891),x41451),x41455),x41456)),f315(f315(f32(x41454,f901(x41452,a891)),f315(f298(x41451,x41454,x41456),x41453)),x41455))
% 201.32/201.08 [4146]E(f315(f315(f33(x41461,f901(x41462,a891)),x41463),f315(f315(f10(x41464,f901(x41462,a891),x41461),x41465),x41466)),f315(f315(f33(x41464,f901(x41462,a891)),f315(f298(x41461,x41464,x41466),x41463)),x41465))
% 201.32/201.08 [4204]E(f315(f315(f33(x42041,f901(x42042,a891)),x42043),f315(f315(f10(f901(x42044,a891),f901(x42042,a891),x42041),f298(x42044,x42042,x42045)),x42046)),f315(f298(x42044,x42042,x42045),f315(f315(f33(x42041,f901(x42044,a891)),x42043),x42046)))
% 201.32/201.08 [4205]E(f315(f315(f33(x42051,f901(x42052,a891)),x42053),f315(f315(f10(f901(x42054,a891),f901(x42052,a891),x42051),f273(x42054,x42052,x42055)),x42056)),f315(f273(x42054,x42052,x42055),f315(f315(f33(x42051,f901(x42054,a891)),x42053),x42056)))
% 201.32/201.08 [4206]E(f315(f315(f32(x42061,f901(x42062,a891)),x42063),f315(f315(f10(f901(x42064,a891),f901(x42062,a891),x42061),f299(x42062,x42064,x42065)),x42066)),f315(f299(x42062,x42064,x42065),f315(f315(f32(x42061,f901(x42064,a891)),x42063),x42066)))
% 201.32/201.08 [4207]E(f315(f315(f33(x42071,f901(x42072,a891)),x42073),f315(f315(f10(f901(x42074,a891),f901(x42072,a891),x42071),f299(x42072,x42074,x42075)),x42076)),f315(f299(x42072,x42074,x42075),f315(f315(f33(x42071,f901(x42074,a891)),x42073),x42076)))
% 201.32/201.08 [4292]E(f315(f131(x42921,x42922,f315(f9(x42922,x42921,x42921),x42923),x42924),f315(f157(x42922),f315(f315(f140(x42922),x42925),x42926))),f315(f315(x42923,x42925),f315(f131(x42921,x42922,f315(f9(x42922,x42921,x42921),x42923),x42924),f315(f157(x42922),x42926))))
% 201.32/201.08 [4350]E(f315(f315(f20(f900(x43501,x43502),x43502,x43503),f315(f315(f10(x43504,f901(x43502,x43503),f900(x43501,x43502)),x43505),f315(f315(f10(x43501,x43504,f900(x43501,x43502)),x43506),f239(x43501,x43502)))),f244(x43501,x43502)),f315(f245(x43501,x43502,x43503),f315(f315(f10(x43504,f901(x43502,x43503),x43501),x43505),x43506)))
% 201.32/201.08 [4357]E(f315(f131(x43571,x43572,f315(f9(x43572,x43571,x43571),x43573),f315(f131(x43571,x43572,f315(f9(x43572,x43571,x43571),x43573),x43574),f315(f157(x43572),x43575))),f315(f157(x43572),x43576)),f315(f131(x43571,x43572,f315(f9(x43572,x43571,x43571),x43573),x43574),f315(f157(x43572),f315(f315(f123(x43572),x43576),x43575))))
% 201.32/201.08 [4359]E(f315(f315(f143(f900(x43591,x43592),f900(x43593,x43592)),f315(f245(x43591,x43592,f900(x43593,x43592)),f315(f315(f10(x43593,f901(x43592,f900(x43593,x43592)),x43591),f240(x43593,x43592)),x43594))),f315(f315(f170(x43591,x43592),x43595),x43596)),f315(f315(f170(x43593,x43592),f315(f315(f143(x43591,x43593),x43594),x43595)),x43596))
% 201.32/201.08 [4404]P107(f315(f315(f223(f901(x44041,a891)),f315(f273(x44042,x44041,x44043),f315(f315(f32(x44044,f901(x44042,a891)),x44045),x44046))),f315(f315(f32(x44044,f901(x44041,a891)),x44045),f315(f315(f10(f901(x44042,a891),f901(x44041,a891),x44044),f273(x44042,x44041,x44043)),x44046))))
% 201.32/201.08 [4217]E(f315(f315(f170(x42171,x42172),f315(f315(f148(x42171,x42173),x42174),f315(f239(x42171,x42172),x42175))),f315(f315(f148(x42172,x42176),x42174),f315(f244(x42171,x42172),x42175))),f315(f315(f148(f900(x42171,x42172),f315(f315(f170(x42171,x42172),x42173),x42176)),x42174),x42175))
% 201.32/201.08 [4275]E(f315(f315(f99(f901(f900(x42751,x42752),a891)),f315(f315(f277(x42751,x42753,x42752),x42754),x42755)),f315(f315(f277(x42751,x42753,x42752),x42754),x42756)),f315(f315(f277(x42751,x42753,x42752),x42754),f315(f315(f99(f901(f900(x42753,x42752),a891)),x42755),x42756)))
% 201.32/201.08 [4369]E(f315(f315(f297(f900(x43691,x43692)),f315(f315(f240(x43691,x43692),x43693),x43694)),f315(f315(f99(f901(f900(x43691,x43692),a891)),f315(f315(f242(x43691,x43692),x43695),f315(f18(f901(x43692,a891),x43691),f315(f315(f297(x43692),x43694),x43696)))),f315(f315(f242(x43691,x43692),f315(f315(f297(x43691),x43693),x43695)),f315(f18(f901(x43692,a891),x43691),x43696)))),f315(f315(f242(x43691,x43692),f315(f315(f297(x43691),x43693),x43695)),f315(f18(f901(x43692,a891),x43691),f315(f315(f297(x43692),x43694),x43696))))
% 201.32/201.08 [4448]E(f315(f315(f90(f901(x44481,a891)),f315(f299(x44481,x44482,f315(f66(f900(x44482,x44483),x44482,x44481,f239(x44482,x44483)),x44484)),x44485)),f315(f299(x44481,x44483,f315(f66(f900(x44482,x44483),x44483,x44481,f244(x44482,x44483)),x44484)),x44486)),f315(f299(x44481,f900(x44482,x44483),x44484),f315(f315(f242(x44482,x44483),x44485),f315(f18(f901(x44483,a891),x44482),x44486))))
% 201.32/201.08 [4298]E(f315(f315(f99(f901(f900(x42981,x42982),a891)),f315(f315(f277(x42981,x42983,x42982),x42984),x42985)),f315(f315(f277(x42981,x42983,x42982),x42986),x42985)),f315(f315(f277(x42981,x42983,x42982),f315(f315(f99(f901(f900(x42981,x42983),a891)),x42984),x42986)),x42985))
% 201.32/201.08 [4429]E(f315(f315(f32(x44291,f901(x44292,a891)),x44293),f315(f315(f9(x44291,f901(x44294,f901(x44292,a891)),f901(x44292,a891)),f315(f315(f10(f901(x44294,a891),f901(f901(x44294,f901(x44292,a891)),f901(x44292,a891)),x44291),f32(x44294,f901(x44292,a891))),x44295)),x44296)),f315(f315(f32(x44294,f901(x44292,a891)),f315(f315(f33(x44291,f901(x44294,a891)),x44293),x44295)),x44296))
% 201.32/201.08 [4430]E(f315(f315(f33(x44301,f901(x44302,a891)),x44303),f315(f315(f9(x44301,f901(x44304,f901(x44302,a891)),f901(x44302,a891)),f315(f315(f10(f901(x44304,a891),f901(f901(x44304,f901(x44302,a891)),f901(x44302,a891)),x44301),f33(x44304,f901(x44302,a891))),x44305)),x44306)),f315(f315(f33(x44304,f901(x44302,a891)),f315(f315(f33(x44301,f901(x44304,a891)),x44303),x44305)),x44306))
% 201.32/201.08 [4482]E(f315(f245(x44821,x44822,f900(x44823,x44824)),f315(f315(f9(x44821,f901(x44822,x44824),f901(x44822,f900(x44823,x44824))),f315(f315(f10(f901(x44824,f900(x44823,x44824)),f901(f901(x44822,x44824),f901(x44822,f900(x44823,x44824))),x44821),f10(x44824,f900(x44823,x44824),x44822)),f315(f315(f10(x44823,f901(x44824,f900(x44823,x44824)),x44821),f240(x44823,x44824)),x44825))),x44826)),f246(x44821,x44823,x44822,x44824,x44825,x44826))
% 201.32/201.08 [4505]E(f315(f298(x45051,x45052,f315(f315(f20(x45051,x45052,x45052),f315(f315(f20(x45051,x45052,f901(x45052,x45052)),f315(f315(f10(a891,f901(x45052,f901(x45052,x45052)),x45051),f85(x45052)),x45053)),x45054)),x45055)),x45056),f315(f315(f99(f901(x45052,a891)),f315(f298(x45051,x45052,x45054),f315(f315(f90(f901(x45051,a891)),x45056),f315(f250(x45051),x45053)))),f315(f298(x45051,x45052,x45055),f315(f315(f90(f901(x45051,a891)),x45056),f315(f250(x45051),f315(f315(f10(a891,a891,x45051),a310),x45053))))))
% 201.32/201.08 [4517]E(f315(f298(x45171,f900(x45172,x45173),f315(f315(f20(x45171,x45173,f900(x45172,x45173)),f315(f315(f10(x45172,f901(x45173,f900(x45172,x45173)),x45171),f240(x45172,x45173)),x45174)),x45175)),x45176),f315(f315(f242(x45172,x45173),f315(f298(x45171,x45172,x45174),x45176)),f315(f315(f10(f901(x45171,a891),f901(x45173,a891),x45172),f298(x45171,x45173,x45175)),f315(f315(f9(x45172,f901(x45171,a891),f901(x45171,a891)),f315(f315(f10(f901(x45171,a891),f901(f901(x45171,a891),f901(x45171,a891)),x45172),f90(f901(x45171,a891))),f315(f315(f10(f901(x45172,a891),f901(x45171,a891),x45172),f299(x45171,x45172,x45174)),f315(f315(f9(x45172,f901(x45172,a891),f901(x45172,a891)),f297(x45172)),f177(f901(x45172,a891)))))),x45176))))
% 201.32/201.08 [4542]E(f234(x45421,x45422,x45423,x45424,x45425,x45426),f315(x45424,f315(f250(x45421),f315(f315(f10(f901(f901(x45423,x45421),a891),a891,x45421),f80(f901(x45423,x45421))),f315(f315(f10(f901(f901(x45423,x45421),a891),f901(f901(x45423,x45421),a891),x45421),f315(f20(f901(x45423,x45421),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x45423,x45421)),a313),f315(f315(f9(f901(x45423,x45421),f901(f901(x45423,x45421),a891),a891),f317(f901(x45423,x45421))),x45425)))),f315(f315(f9(x45421,f901(f901(x45423,x45421),x45421),f901(f901(x45423,x45421),a891)),f315(f315(f10(f901(x45421,a891),f901(f901(f901(x45423,x45421),x45421),f901(f901(x45423,x45421),a891)),x45421),f10(x45421,a891,f901(x45423,x45421))),a312)),f315(f315(f9(f901(x45423,x45421),x45423,x45421),f7(f901(x45423,x45421))),x45426)))))))
% 201.32/201.08 [4331]E(f315(f66(x43311,x43312,x43313,x43314),f68(x43313,x43311,x43315,x43316,x43317)),f68(x43313,x43312,f315(f66(x43311,x43312,x43313,x43314),x43315),x43316,f315(x43314,x43317)))
% 201.32/201.08 [4465]E(f315(f244(x44651,x44652),f315(f246(x44653,x44651,x44654,x44652,x44655,x44656),x44657)),f315(x44656,f315(f244(x44653,x44654),x44657)))
% 201.32/201.08 [4466]E(f315(f239(x44661,x44662),f315(f246(x44663,x44661,x44664,x44662,x44665,x44666),x44667)),f315(x44665,f315(f239(x44663,x44664),x44667)))
% 201.32/201.08 [4180]E(f315(f315(f170(x41801,x41802),f315(f315(f148(x41801,x41803),x41804),x41805)),f315(f315(f148(x41802,x41806),x41804),x41807)),f315(f315(f148(f900(x41801,x41802),f315(f315(f170(x41801,x41802),x41803),x41806)),x41804),f315(f315(f240(x41801,x41802),x41805),x41807)))
% 201.32/201.08 [4247]E(f315(f315(f315(f247(x42471,x42472,x42473,x42474),x42475),x42476),x42477),f315(f315(f245(x42472,x42473,x42474),x42476),f315(x42475,x42477)))
% 201.32/201.08 [4257]E(f315(f315(f315(f247(x42571,x42572,x42573,x42574),x42575),x42576),x42577),f315(f315(x42576,f315(f239(x42572,x42573),f315(x42575,x42577))),f315(f244(x42572,x42573),f315(x42575,x42577))))
% 201.32/201.08 [4309]E(f315(f66(x43091,x43092,x43093,x43094),f315(f66(x43095,x43091,x43093,x43096),x43097)),f315(f66(x43095,x43092,x43093,f315(f66(x43091,x43092,x43095,x43094),x43096)),x43097))
% 201.32/201.08 [4486]E(f315(f246(x44861,x44862,x44863,x44863,x44864,f25(x44863)),f315(f246(x44861,x44861,x44865,x44863,f25(x44861),x44866),x44867)),f315(f315(f240(x44862,x44863),f315(x44864,f315(f239(x44861,x44865),x44867))),f315(x44866,f315(f244(x44861,x44865),x44867))))
% 201.32/201.08 [4487]E(f315(f246(x44871,x44871,x44872,x44873,f25(x44871),x44874),f315(f246(x44875,x44871,x44872,x44872,x44876,f25(x44872)),x44877)),f315(f315(f240(x44871,x44873),f315(x44876,f315(f239(x44875,x44872),x44877))),f315(x44874,f315(f244(x44875,x44872),x44877))))
% 201.32/201.08 [4503]E(f315(f246(x45031,x45032,x45033,x45033,x45034,f25(x45033)),f315(f246(x45035,x45031,x45033,x45033,x45036,f25(x45033)),x45037)),f315(f246(x45035,x45032,x45033,x45033,f315(f66(x45031,x45032,x45035,x45034),x45036),f25(x45033)),x45037))
% 201.32/201.08 [4504]E(f315(f246(x45041,x45041,x45042,x45043,f25(x45041),x45044),f315(f246(x45041,x45041,x45045,x45042,f25(x45041),x45046),x45047)),f315(f246(x45041,x45041,x45045,x45043,f25(x45041),f315(f66(x45042,x45043,x45045,x45044),x45046)),x45047))
% 201.32/201.08 [4514]E(f315(f246(x45141,x45142,x45143,x45143,x45144,f25(x45143)),f315(f246(x45141,x45141,x45145,x45143,f25(x45141),x45146),x45147)),f315(f246(x45142,x45142,x45145,x45143,f25(x45142),x45146),f315(f246(x45141,x45142,x45145,x45145,x45144,f25(x45145)),x45147)))
% 201.32/201.08 [4214]E(f315(f315(f277(x42141,x42142,x42143),f315(f315(f277(x42141,x42144,x42142),x42145),x42146)),x42147),f315(f315(f277(x42141,x42144,x42143),x42145),f315(f315(f277(x42144,x42142,x42143),x42146),x42147)))
% 201.32/201.08 [4281]E(f315(f315(f245(x42811,x42812,x42813),f315(f66(x42814,f901(x42812,x42813),x42811,x42815),x42816)),x42817),f315(f315(x42815,f315(x42816,f315(f239(x42811,x42812),x42817))),f315(f244(x42811,x42812),x42817)))
% 201.32/201.08 [4362]E(f315(f131(x43621,x43622,f315(f9(x43622,x43621,x43621),x43623),x43624),f315(f157(x43622),f315(f315(f143(x43625,x43622),x43626),x43627))),f315(f131(x43621,x43625,f315(f9(x43625,x43621,x43621),f315(f66(x43622,f901(x43621,x43621),x43625,x43623),x43626)),x43624),f315(f157(x43625),x43627)))
% 201.32/201.08 [4310]E(f315(f315(f33(x43101,f901(f900(x43102,x43103),a891)),x43104),f315(f315(f10(f901(f900(x43105,x43103),a891),f901(f900(x43102,x43103),a891),x43101),f315(f277(x43102,x43105,x43103),x43106)),x43107)),f315(f315(f277(x43102,x43105,x43103),x43106),f315(f315(f33(x43101,f901(f900(x43105,x43103),a891)),x43104),x43107)))
% 201.32/201.08 [4453]E(f315(f315(f33(x44531,f901(f900(x44532,x44533),a891)),x44534),f315(f315(f9(x44531,f901(f900(x44535,x44533),a891),f901(f900(x44532,x44533),a891)),f315(f315(f10(f901(f900(x44532,x44535),a891),f901(f901(f900(x44535,x44533),a891),f901(f900(x44532,x44533),a891)),x44531),f277(x44532,x44535,x44533)),x44536)),x44537)),f315(f315(f277(x44532,x44535,x44533),f315(f315(f33(x44531,f901(f900(x44532,x44535),a891)),x44534),x44536)),x44537))
% 201.32/201.08 [4454]E(f315(f131(x44541,x44542,f315(f315(f9(x44541,f901(x44542,x44543),f901(x44542,x44541)),f315(f315(f10(f901(x44543,x44541),f901(f901(x44542,x44543),f901(x44542,x44541)),x44541),f10(x44543,x44541,x44542)),x44544)),x44545),x44546),x44547),f315(f131(x44541,x44543,x44544,x44546),f315(f315(f143(x44542,x44543),x44545),x44547)))
% 201.32/201.08 [4515]E(f315(f315(f32(x45151,f901(x45152,a891)),x45153),f315(f315(f10(f901(x45154,f901(x45152,a891)),f901(x45152,a891),x45151),f315(f32(x45154,f901(x45152,a891)),x45155)),f315(f315(f9(x45151,f901(x45154,f901(x45152,a891)),f901(x45154,f901(x45152,a891))),f315(f315(f10(f901(f901(x45152,a891),f901(x45152,a891)),f901(f901(x45154,f901(x45152,a891)),f901(x45154,f901(x45152,a891))),x45151),f10(f901(x45152,a891),f901(x45152,a891),x45154)),f315(f315(f10(f901(x45152,a891),f901(f901(x45152,a891),f901(x45152,a891)),x45151),f99(f901(x45152,a891))),x45156))),x45157))),f315(f315(f99(f901(x45152,a891)),f315(f315(f32(x45151,f901(x45152,a891)),x45153),x45156)),f315(f315(f32(x45154,f901(x45152,a891)),x45155),x45157)))
% 201.32/201.08 [4516]E(f315(f315(f33(x45161,f901(x45162,a891)),x45163),f315(f315(f10(f901(x45164,f901(x45162,a891)),f901(x45162,a891),x45161),f315(f33(x45164,f901(x45162,a891)),x45165)),f315(f315(f9(x45161,f901(x45164,f901(x45162,a891)),f901(x45164,f901(x45162,a891))),f315(f315(f10(f901(f901(x45162,a891),f901(x45162,a891)),f901(f901(x45164,f901(x45162,a891)),f901(x45164,f901(x45162,a891))),x45161),f10(f901(x45162,a891),f901(x45162,a891),x45164)),f315(f315(f10(f901(x45162,a891),f901(f901(x45162,a891),f901(x45162,a891)),x45161),f90(f901(x45162,a891))),x45166))),x45167))),f315(f315(f90(f901(x45162,a891)),f315(f315(f33(x45161,f901(x45162,a891)),x45163),x45166)),f315(f315(f33(x45164,f901(x45162,a891)),x45165),x45167)))
% 201.32/201.08 [4508]E(f186(x45081,x45082,f315(f315(f315(x45083,x45084),x45085),x45086),f315(f315(f9(x45081,f900(a88,a88),f901(a88,f895(x45082))),f315(f315(f9(x45081,a88,f901(f900(a88,a88),f901(a88,f895(x45082)))),f315(f315(f9(x45081,a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(x45082))))),x45087),x45084)),x45085)),x45086)),f315(f315(f315(f198(x45081,x45082,x45083,x45087),x45084),x45085),x45086))
% 201.32/201.08 [4522]E(f187(x45221,x45222,f315(f315(f315(x45223,x45224),x45225),x45226),f315(f315(f9(x45221,f900(a88,a88),f901(a88,f895(x45222))),f315(f315(f9(x45221,a88,f901(f900(a88,a88),f901(a88,f895(x45222)))),f315(f315(f9(x45221,a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(x45222))))),x45227),x45224)),x45225)),x45226)),f200(x45221,x45222,x45223,x45227,x45224,x45225,x45226))
% 201.32/201.08 [4513]E(f184(x45131,x45132,f315(f315(f315(x45133,x45134),x45135),x45136),f315(f315(f9(x45131,f900(a88,a88),f901(a88,f895(f897(x45132)))),f315(f315(f9(x45131,a88,f901(f900(a88,a88),f901(a88,f895(f897(x45132))))),f315(f315(f9(x45131,a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(f897(x45132)))))),x45137),x45134)),x45135)),x45136)),f315(f315(f315(f194(x45131,x45132,x45133,x45137),x45134),x45135),x45136))
% 201.32/201.08 [4524]E(f185(x45241,x45242,f315(f315(f315(x45243,x45244),x45245),x45246),f315(f315(f9(x45241,f900(a88,a88),f901(a88,f895(f897(x45242)))),f315(f315(f9(x45241,a88,f901(f900(a88,a88),f901(a88,f895(f897(x45242))))),f315(f315(f9(x45241,a88,f901(a88,f901(f900(a88,a88),f901(a88,f895(f897(x45242)))))),x45247),x45244)),x45245)),x45246)),f196(x45241,x45242,x45243,x45247,x45244,x45245,x45246))
% 201.32/201.08 [4423]E(f315(f246(x44231,x44232,x44233,x44234,x44235,x44236),f315(f315(f240(x44231,x44233),x44237),x44238)),f315(f315(f240(x44232,x44234),f315(x44235,x44237)),f315(x44236,x44238)))
% 201.32/201.08 [4526]E(f315(f315(f143(f900(x45261,x45262),f900(x45263,x45264)),f315(f245(x45261,x45262,f900(x45263,x45264)),f315(f315(f9(x45261,f901(x45262,x45264),f901(x45262,f900(x45263,x45264))),f315(f315(f10(f901(x45264,f900(x45263,x45264)),f901(f901(x45262,x45264),f901(x45262,f900(x45263,x45264))),x45261),f10(x45264,f900(x45263,x45264),x45262)),f315(f315(f10(x45263,f901(x45264,f900(x45263,x45264)),x45261),f240(x45263,x45264)),x45265))),x45266))),f315(f315(f170(x45261,x45262),x45267),x45268)),f315(f315(f170(x45263,x45264),f315(f315(f143(x45261,x45263),x45265),x45267)),f315(f315(f143(x45262,x45264),x45266),x45268)))
% 201.32/201.08 [4529]E(f315(f315(f143(f900(x45291,x45292),x45293),f315(f245(x45291,x45292,x45293),f315(f315(f10(f901(x45292,f900(x45291,x45294)),f901(x45292,x45293),x45291),f315(f10(f900(x45291,x45294),x45293,x45292),x45295)),f315(f315(f9(x45291,f901(x45292,x45294),f901(x45292,f900(x45291,x45294))),f315(f315(f10(f901(x45294,f900(x45291,x45294)),f901(f901(x45292,x45294),f901(x45292,f900(x45291,x45294))),x45291),f10(x45294,f900(x45291,x45294),x45292)),f240(x45291,x45294))),x45296)))),f315(f315(f170(x45291,x45292),x45297),x45298)),f315(f315(f143(f900(x45291,x45294),x45293),x45295),f315(f315(f170(x45291,x45294),x45297),f315(f315(f143(x45292,x45294),x45296),x45298))))
% 201.32/201.08 [4457]E(f315(f315(f143(f900(x44571,x44572),x44573),f315(f245(x44571,x44572,x44573),f315(f315(f10(f901(x44572,f900(x44574,x44572)),f901(x44572,x44573),x44571),f315(f10(f900(x44574,x44572),x44573,x44572),x44575)),f315(f315(f10(x44574,f901(x44572,f900(x44574,x44572)),x44571),f240(x44574,x44572)),x44576)))),f315(f315(f170(x44571,x44572),x44577),x44578)),f315(f315(f143(f900(x44574,x44572),x44573),x44575),f315(f315(f170(x44574,x44572),f315(f315(f143(x44571,x44574),x44576),x44577)),x44578)))
% 201.32/201.08 [4414]E(f315(f315(f245(x44141,x44142,x44143),f315(f315(f10(f901(x44142,f900(x44144,x44145)),f901(x44142,x44143),x44141),f315(f10(f900(x44144,x44145),x44143,x44142),f315(f245(x44144,x44145,x44143),x44146))),x44147)),x44148),f315(f315(f245(x44144,x44145,x44143),x44146),f315(f315(f245(x44141,x44142,f900(x44144,x44145)),x44147),x44148)))
% 201.32/201.08 [4530]E(f315(f315(f33(f900(x45301,x45302),f901(f900(x45303,x45304),a891)),f315(f315(f242(x45301,x45302),x45305),f315(f18(f901(x45302,a891),x45301),x45306))),f315(f245(x45301,x45302,f901(f900(x45303,x45304),a891)),f315(f315(f9(x45301,f901(x45302,f901(x45303,f901(x45304,a891))),f901(x45302,f901(f900(x45303,x45304),a891))),f315(f315(f10(f901(f901(x45303,f901(x45304,a891)),f901(f900(x45303,x45304),a891)),f901(f901(x45302,f901(x45303,f901(x45304,a891))),f901(x45302,f901(f900(x45303,x45304),a891))),x45301),f10(f901(x45303,f901(x45304,a891)),f901(f900(x45303,x45304),a891),x45302)),f315(f315(f10(f901(x45303,a891),f901(f901(x45303,f901(x45304,a891)),f901(f900(x45303,x45304),a891)),x45301),f242(x45303,x45304)),x45307))),f315(f315(f10(f901(x45304,a891),f901(x45303,f901(x45304,a891)),x45302),f18(f901(x45304,a891),x45303)),x45308)))),f315(f315(f242(x45303,x45304),f315(f315(f33(x45301,f901(x45303,a891)),x45305),x45307)),f315(f18(f901(x45304,a891),x45303),f315(f315(f33(x45302,f901(x45304,a891)),x45306),x45308))))
% 201.32/201.09 [4471]E(f315(f315(f247(x44711,x44712,x44713,x44714),f315(f315(f247(x44711,x44715,x44716,f900(x44712,x44713)),x44717),x44718)),x44719),f315(f315(f247(x44711,x44715,x44716,x44714),x44717),f315(f315(f9(x44715,f901(x44712,f901(x44713,x44714)),f901(x44716,x44714)),f315(f315(f10(f901(x44716,f900(x44712,x44713)),f901(f901(x44712,f901(x44713,x44714)),f901(x44716,x44714)),x44715),f247(x44716,x44712,x44713,x44714)),x44718)),x44719)))
% 201.32/201.09 [4500]E(f315(f66(f900(x45001,x45002),f900(x45003,x45004),f900(x45005,x45006),f246(x45001,x45003,x45002,x45004,x45007,x45008)),f246(x45005,x45001,x45006,x45002,x45009,x450010)),f246(x45005,x45003,x45006,x45004,f315(f66(x45001,x45003,x45005,x45007),x45009),f315(f66(x45002,x45004,x45006,x45008),x450010)))
% 201.32/201.09 [4506]E(f315(f246(x45061,x45062,x45063,x45064,x45065,x45066),f315(f246(x45067,x45061,x45068,x45063,x45069,x450610),x450611)),f315(f246(x45067,x45062,x45068,x45064,f315(f66(x45061,x45062,x45067,x45065),x45069),f315(f66(x45063,x45064,x45068,x45066),x450610)),x450611))
% 201.32/201.09 [4633]~P4(x46331)+P4(f897(x46331))
% 201.32/201.09 [4634]~P64(x46341)+P64(f897(x46341))
% 201.32/201.09 [4635]~P105(x46351)+P105(f894(x46351))
% 201.32/201.09 [4638]~P146(x46381)+~E(f71(x46381),f2(x46381))
% 201.32/201.09 [4640]~E(x46401,f2(a88))+E(f315(a24,x46401),f2(a1))
% 201.32/201.09 [4641]~E(x46411,f2(a1))+E(f75(a1,x46411),f2(a1))
% 201.32/201.09 [4647]~P147(x46471)+P29(x46471,f2(x46471))
% 201.32/201.09 [4649]~P110(x46491)+P13(x46491,f102(x46491))
% 201.32/201.09 [4658]P107(x46581)+P107(f315(a310,x46581))
% 201.32/201.09 [4712]~P147(x47121)+~P29(x47121,f71(x47121))
% 201.32/201.09 [4749]~P107(x47491)+~P107(f315(a310,x47491))
% 201.32/201.09 [4770]E(f315(a93,x47701),f2(a893))+~P107(f315(a182,x47701))
% 201.32/201.09 [4836]~P2(x48361)+P14(x48361,x48361,f99(x48361))
% 201.32/201.09 [4837]~P99(x48371)+P14(x48371,x48371,f74(x48371))
% 201.32/201.09 [4838]~P103(x48381)+P14(x48381,x48381,f90(x48381))
% 201.32/201.09 [4839]~P110(x48391)+P14(x48391,x48391,f221(x48391))
% 201.32/201.09 [4840]~P110(x48401)+P14(x48401,x48401,f222(x48401))
% 201.32/201.09 [4841]~P70(x48411)+P16(x48411,x48411,f74(x48411))
% 201.32/201.09 [4644]~E(x46441,f2(a893))+E(f315(f89(a1),x46441),f2(a1))
% 201.32/201.09 [4651]~P97(x46511)+E(f315(f92(x46511),a76),f2(x46511))
% 201.32/201.09 [4654]~E(f558(x46541),f2(a893))+E(f315(f154(a893),x46541),f2(a893))
% 201.32/201.09 [4655]~P109(x46551)+E(f225(x46551,f223(x46551)),f221(x46551))
% 201.32/201.09 [4656]~P109(x46561)+E(f226(x46561,f223(x46561)),f222(x46561))
% 201.32/201.09 [4657]~P93(x46571)+E(f75(x46571,f2(x46571)),f2(x46571))
% 201.32/201.09 [4666]~P147(x46661)+E(f315(f89(x46661),f71(a893)),f71(x46661))
% 201.32/201.09 [4667]~P147(x46671)+E(f315(f89(x46671),f2(a893)),f2(x46671))
% 201.32/201.09 [4668]~P144(x46681)+E(f315(f91(x46681),f71(a1)),f71(x46681))
% 201.32/201.09 [4669]~P144(x46691)+E(f315(f91(x46691),f2(a1)),f2(x46691))
% 201.32/201.09 [4670]E(x46701,f2(a893))+~E(f315(f89(a1),x46701),f2(a1))
% 201.32/201.09 [4706]~P120(x47061)+E(f315(f69(x47061),f71(x47061)),f71(x47061))
% 201.32/201.09 [4707]~P88(x47071)+E(f315(f69(x47071),f2(x47071)),f2(x47071))
% 201.32/201.09 [4708]~P98(x47081)+E(f315(f72(x47081),f177(x47081)),f230(x47081))
% 201.32/201.09 [4709]~P77(x47091)+E(f315(f72(x47091),f2(x47091)),f2(x47091))
% 201.32/201.09 [4710]~P98(x47101)+E(f315(f72(x47101),f230(x47101)),f177(x47101))
% 201.32/201.09 [4711]~P85(x47111)+E(f315(f154(x47111),f102(x47111)),f2(x47111))
% 201.32/201.09 [4729]~P38(x47291)+P42(f315(f161(a1),x47291))
% 201.32/201.09 [4754]~P97(x47541)+E(f315(f72(x47541),f71(x47541)),f315(f92(x47541),a86))
% 201.32/201.09 [4769]~P97(x47691)+P29(x47691,f315(f92(x47691),a76))
% 201.32/201.09 [4795]P38(x47951)+~P42(f315(f161(a1),x47951))
% 201.32/201.09 [4842]E(f315(f89(a1),f315(a93,x48421)),x48421)+P107(f315(a182,x48421))
% 201.32/201.09 [4912]~P116(x49121)+E(f233(x49121,f71(x49121),f74(x49121)),f232(x49121))
% 201.32/201.09 [4945]~P97(x49451)+~P29(x49451,f315(f92(x49451),a86))
% 201.32/201.09 [5098]E(f315(f69(a1),x50981),x50981)+P107(f315(f315(f224(a1),x50981),f2(a1)))
% 201.32/201.09 [5116]~E(f315(a93,x51161),f2(a893))+P107(f315(f315(f223(a1),x51161),f2(a1)))
% 201.32/201.09 [5183]~P107(f315(a182,x51831))+P107(f315(f315(f224(a1),x51831),f2(a1)))
% 201.32/201.09 [5223]~P112(x52231)+P107(f315(f315(f223(x52231),f2(x52231)),f71(x52231)))
% 201.32/201.09 [5224]~P144(x52241)+P107(f315(f315(f317(x52241),f71(x52241)),f98(x52241)))
% 201.32/201.09 [5225]~P147(x52251)+P107(f315(f315(f317(x52251),f71(x52251)),f175(x52251)))
% 201.32/201.09 [5226]~P144(x52261)+P107(f315(f315(f317(x52261),f2(x52261)),f98(x52261)))
% 201.32/201.09 [5227]~P147(x52271)+P107(f315(f315(f317(x52271),f2(x52271)),f175(x52271)))
% 201.32/201.09 [5228]~P112(x52281)+P107(f315(f315(f224(x52281),f2(x52281)),f71(x52281)))
% 201.32/201.09 [5281]E(x52811,f71(a893))+~P107(f315(f315(f275(a893),x52811),f71(a893)))
% 201.32/201.09 [5282]E(x52821,f2(a893))+~P107(f315(f315(f223(a893),x52821),f2(a893)))
% 201.32/201.09 [5324]E(f315(a93,x53241),f2(a893))+~P107(f315(f315(f223(a1),x53241),f2(a1)))
% 201.32/201.09 [5381]P107(f315(a182,x53811))+~P107(f315(f315(f224(a1),x53811),f2(a1)))
% 201.32/201.09 [5388]~P110(x53881)+P16(x53881,f894(x53881),f137(x53881,x53881,f7(x53881)))
% 201.32/201.09 [5406]P42(x54061)+~P107(f315(f315(f223(a1),f2(a1)),f321(x54061)))
% 201.32/201.09 [5411]E(f315(f69(a1),x54111),f315(f72(a1),x54111))+~P107(f315(f315(f224(a1),x54111),f2(a1)))
% 201.32/201.09 [5584]~P112(x55841)+~P107(f315(f315(f223(x55841),f71(x55841)),f2(x55841)))
% 201.32/201.09 [5585]~P112(x55851)+~P107(f315(f315(f224(x55851),f71(x55851)),f2(x55851)))
% 201.32/201.09 [5601]~E(x56011,f2(a893))+P107(f315(f315(f223(a1),f315(f89(a1),x56011)),f2(a1)))
% 201.32/201.09 [5602]~E(x56021,f2(a1))+P107(f315(f315(f224(a1),f315(f69(a1),x56021)),f71(a1)))
% 201.32/201.09 [5725]~P85(x57251)+E(f131(x57251,x57251,f73(x57251),f2(x57251)),f154(x57251))
% 201.32/201.09 [5908]~P104(x59081)+P26(a893,x59081,f89(x59081),f230(f901(a893,a891)))
% 201.32/201.09 [6114]E(x61141,f2(a893))+~P107(f315(f315(f223(a1),f315(f89(a1),x61141)),f2(a1)))
% 201.32/201.09 [6115]E(x61151,f2(a1))+~P107(f315(f315(f224(a1),f315(f69(a1),x61151)),f71(a1)))
% 201.32/201.09 [6936]~P107(f315(f315(f224(a1),x69361),f2(a1)))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x69361),x69361)),f2(a1)))
% 201.32/201.09 [7500]P107(f315(f315(f224(a1),x75001),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x75001),x75001)),f2(a1)))
% 201.32/201.09 [8049]E(x80491,f315(a5,f2(a893)))+P107(f315(f315(f224(a893),f315(f315(f3(a893),f315(a22,x80491)),f315(a101,f2(a893)))),f315(a22,x80491)))
% 201.32/201.09 [8815]~P107(f315(f315(f224(a1),x88151),f2(a1)))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x88151),x88151)),a86)),f2(a1)))
% 201.32/201.09 [8912]~P107(f315(f315(f224(a1),x89121),f2(a1)))+P107(f315(f315(f224(a1),f315(f315(f73(a1),f315(f315(f73(a1),f71(a1)),x89121)),x89121)),f2(a1)))
% 201.32/201.09 [9230]P107(f315(f315(f224(a1),x92301),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92301),x92301)),a86)),f2(a1)))
% 201.32/201.09 [9292]P107(f315(f315(f224(a1),x92921),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),f315(f315(f73(a1),f71(a1)),x92921)),x92921)),f2(a1)))
% 201.32/201.09 [4743]~E(a76,x47431)+E(f315(f315(f73(a1),x47431),x47431),a76)
% 201.32/201.09 [4744]~E(x47441,a76)+E(f315(f315(f73(a1),x47441),x47441),a76)
% 201.32/201.09 [4755]E(x47551,f2(a1))+E(f315(f315(f29(a1),x47551),x47551),f71(a1))
% 201.32/201.09 [4889]E(x48891,a76)+~E(f315(f315(f73(a1),x48891),x48891),a76)
% 201.32/201.09 [4890]E(a76,x48901)+~E(f315(f315(f73(a1),x48901),x48901),a76)
% 201.32/201.09 [4902]~P5(x49021)+E(f30(x49021,f177(f901(x49021,a891))),f177(x49021))
% 201.32/201.09 [4903]~P5(x49031)+E(f30(x49031,f230(f901(x49031,a891))),f230(x49031))
% 201.32/201.09 [4904]~P5(x49041)+E(f31(x49041,f177(f901(x49041,a891))),f230(x49041))
% 201.32/201.09 [4905]~P5(x49051)+E(f31(x49051,f230(f901(x49051,a891))),f177(x49051))
% 201.32/201.09 [4906]~P110(x49061)+E(f128(x49061,f177(f901(x49061,a891))),f102(x49061))
% 201.32/201.09 [5053]E(x50531,f2(a893))+P107(f315(f315(f224(a893),f2(a893)),x50531))
% 201.32/201.09 [5073]~P6(x50731)+P107(f315(f315(f223(a1),f2(a1)),x50731))
% 201.32/201.09 [5107]~E(f315(f92(a893),x51071),f2(a893))+P107(f315(f315(f223(a1),x51071),a76))
% 201.32/201.09 [5112]P42(x51121)+P107(f315(f315(f317(a1),f321(x51121)),x51121))
% 201.32/201.09 [5113]E(x51131,f315(a5,f2(a893)))+P107(f315(f315(f223(a88),f71(a88)),x51131))
% 201.32/201.09 [5154]P107(f315(a182,x51541))+P107(f315(f315(f223(a1),f2(a1)),x51541))
% 201.32/201.09 [5205]E(f315(f89(a1),f315(a93,x52051)),f2(a1))+P107(f315(f315(f223(a1),f2(a1)),x52051))
% 201.32/201.09 [5262]E(f315(f89(a1),f315(f92(a893),x52621)),f315(f92(a1),x52621))+P107(f315(a182,f315(f92(a1),x52621)))
% 201.32/201.09 [5288]E(f315(f92(a893),x52881),f2(a893))+~P107(f315(a182,f315(f92(a1),x52881)))
% 201.32/201.09 [5289]E(f315(f92(a893),x52891),f2(a893))+~P107(f315(f315(f223(a1),x52891),a76))
% 201.32/201.09 [5321]P6(x53211)+~P107(f315(f315(f223(a1),f2(a1)),x53211))
% 201.32/201.09 [5391]E(f315(a101,f795(x53911)),x53911)+~P107(f315(f315(f224(a893),f2(a893)),x53911))
% 201.32/201.09 [5400]E(f315(a101,f315(f92(a893),x54001)),f71(a893))+~P107(f315(a182,f315(f92(a1),x54001)))
% 201.32/201.09 [5407]E(f315(f89(a1),f327(x54071)),x54071)+~P107(f315(f315(f224(a1),f2(a1)),x54071))
% 201.32/201.09 [5414]~E(x54141,f315(a5,f2(a893)))+~P107(f315(f315(f223(a88),f71(a88)),x54141))
% 201.32/201.09 [5421]E(f315(f89(a1),f315(f92(a893),x54211)),f2(a1))+~P107(f315(a182,f315(f92(a1),x54211)))
% 201.32/201.09 [5447]E(f315(f154(a893),x54471),f2(a893))+P107(f315(f315(f317(a893),f558(x54471)),f315(f161(a893),x54471)))
% 201.32/201.09 [5468]E(f315(f89(a1),f315(a93,x54681)),x54681)+~P107(f315(f315(f223(a1),f2(a1)),x54681))
% 201.32/201.09 [5476]~P107(f315(a182,x54761))+~P107(f315(f315(f223(a1),f2(a1)),x54761))
% 201.32/201.09 [5577]E(f315(f315(f73(a893),f71(a893)),f315(f92(a893),x55771)),f71(a893))+~P107(f315(f315(f224(a1),x55771),a76))
% 201.32/201.09 [5644]E(x56441,f2(a893))+~P107(f315(f315(f224(a893),x56441),f315(a101,f2(a893))))
% 201.32/201.09 [5666]E(x56661,f315(a101,f2(a893)))+~P107(f315(f315(f275(a893),x56661),f315(a101,f2(a893))))
% 201.32/201.09 [5684]E(f315(f315(f3(a893),f315(f92(a893),x56841)),f71(a893)),f2(a893))+~P107(f315(f315(f223(a1),x56841),a76))
% 201.32/201.09 [5685]E(f315(f315(f73(a893),f315(f92(a893),x56851)),f71(a893)),f71(a893))+~P107(f315(f315(f224(a1),x56851),a76))
% 201.32/201.09 [5697]~P42(x56971)+E(f315(f28(a893),f315(f298(a1,a893,a93),x56971)),f315(f28(a1),x56971))
% 201.32/201.09 [5726]~P110(x57261)+E(f225(x57261,f315(f9(x57261,x57261,a891),f223(x57261))),f222(x57261))
% 201.32/201.09 [5727]~P110(x57271)+E(f226(x57271,f315(f9(x57271,x57271,a891),f223(x57271))),f221(x57271))
% 201.32/201.09 [5737]E(f38(a893,f315(a101,f2(a893)),f315(f92(a893),x57371)),f315(a101,f2(a893)))+~P107(f315(a182,f315(f92(a1),x57371)))
% 201.32/201.09 [5746]~P107(f315(f315(f224(a1),f2(a1)),x57461))+P107(f315(f315(f223(a1),f71(a1)),x57461))
% 201.32/201.09 [5747]P107(f315(f315(f224(a1),f2(a1)),x57471))+~P107(f315(f315(f223(a1),f71(a1)),x57471))
% 201.32/201.09 [5758]E(f315(a101,f315(f315(f3(a893),x57581),f71(a893))),x57581)+~P107(f315(f315(f224(a893),f2(a893)),x57581))
% 201.32/201.09 [5814]P107(f315(f315(f224(a893),f2(a893)),f327(x58141)))+~P107(f315(f315(f224(a1),f2(a1)),x58141))
% 201.32/201.09 [5875]E(f38(a1,f315(f92(a1),a86),x58751),f315(f315(f3(a1),x58751),f71(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x58751))
% 201.32/201.09 [5921]~P107(f315(f315(f224(a1),a76),x59211))+P107(f315(f315(f224(a893),f2(a893)),f315(f92(a893),x59211)))
% 201.32/201.09 [5926]E(f315(a22,f786(x59261)),x59261)+~P107(f315(f315(f317(a893),x59261),f230(f901(a893,a891))))
% 201.32/201.09 [5979]P107(f315(f315(f224(a893),f2(a893)),f315(a93,x59791)))+~P107(f315(f315(f224(a1),f2(a1)),x59791))
% 201.32/201.09 [6029]~P107(f315(f315(f224(a893),f2(a893)),x60291))+P107(f315(f315(f224(a1),f2(a1)),f315(f89(a1),x60291)))
% 201.32/201.09 [6065]~P107(f315(f315(f224(a893),f2(a893)),f315(a93,x60651)))+P107(f315(f315(f224(a1),f2(a1)),x60651))
% 201.32/201.09 [6080]~P42(x60801)+E(f315(f298(a893,a1,f89(a1)),f315(f298(a1,a893,a93),x60801)),x60801)
% 201.32/201.09 [6093]P107(f315(f315(f224(a1),a76),x60931))+~P107(f315(f315(f224(a893),f2(a893)),f315(f92(a893),x60931)))
% 201.32/201.09 [6152]P107(f315(f315(f224(a893),f2(a893)),x61521))+~P107(f315(f315(f224(a1),f2(a1)),f315(f89(a1),x61521)))
% 201.32/201.09 [6271]E(f315(f298(a893,a1,f89(a1)),f315(f270(a893),f315(a93,x62711))),f315(f290(a1,f2(a1)),x62711))+~P107(f315(f315(f223(a1),f2(a1)),x62711))
% 201.32/201.09 [6288]~P112(x62881)+P107(f315(f315(f224(x62881),f2(x62881)),f315(f315(f73(x62881),f71(x62881)),f71(x62881))))
% 201.32/201.09 [6338]P107(f315(f315(f224(a893),f315(a101,f2(a893))),f315(a93,x63381)))+~P107(f315(f315(f224(a1),f71(a1)),x63381))
% 201.32/201.09 [6440]E(x64401,f2(a1))+P107(f315(f42(f2(a1),x64401),f315(f315(f240(a1,a1),f2(a1)),f2(a1))))
% 201.32/201.09 [6613]~P107(f315(f315(f224(a893),f315(a101,f2(a893))),f315(a93,x66131)))+P107(f315(f315(f224(a1),f71(a1)),x66131))
% 201.32/201.09 [7051]~P118(x70511)+P39(x70511,f315(f250(f900(x70511,x70511)),f315(f245(x70511,x70511,a891),f224(x70511))))
% 201.32/201.09 [5631]E(f315(f92(a893),f315(f315(f3(a1),x56311),a86)),f315(a101,f315(f92(a893),x56311)))+P107(f315(a182,f315(f92(a1),x56311)))
% 201.32/201.09 [5647]~P38(x56471)+E(f315(f315(f143(a893,a1),f89(a1)),f315(f315(f143(a1,a893),a93),x56471)),x56471)
% 201.32/201.09 [5764]E(f315(f72(a1),f315(f89(a1),f315(a101,f350(x57641)))),x57641)+~P107(f315(f315(f224(a1),x57641),f2(a1)))
% 201.32/201.09 [5774]E(f315(f315(f73(a893),f71(a893)),f315(f92(a893),x57741)),f315(f92(a893),f315(f315(f3(a1),x57741),a86)))+P107(f315(f315(f224(a1),x57741),a76))
% 201.32/201.09 [5816]E(f315(f315(f29(a1),f315(f92(a1),a86)),x58161),f315(f92(a1),a86))+~P107(f315(f315(f224(a1),f2(a1)),x58161))
% 201.32/201.09 [5917]E(f315(f315(f3(a893),f315(f92(a893),x59171)),f71(a893)),f315(f92(a893),f315(f315(f73(a1),x59171),a86)))+P107(f315(f315(f223(a1),x59171),a76))
% 201.32/201.09 [5918]E(f315(f315(f73(a893),f315(f92(a893),x59181)),f71(a893)),f315(f92(a893),f315(f315(f3(a1),x59181),a86)))+P107(f315(f315(f224(a1),x59181),a76))
% 201.32/201.09 [5964]E(f315(a93,f315(f315(f73(a1),f71(a1)),x59641)),f315(a101,f315(a93,x59641)))+~P107(f315(f315(f223(a1),f2(a1)),x59641))
% 201.32/201.09 [6000]E(f315(a101,f315(f315(f3(a893),x60001),f315(a101,f2(a893)))),x60001)+~P107(f315(f315(f224(a893),f2(a893)),x60001))
% 201.32/201.09 [6220]E(f38(a893,f315(a101,f2(a893)),f315(f92(a893),x62201)),f315(a93,f38(a1,f71(a1),f315(f92(a1),x62201))))+P107(f315(a182,f315(f92(a1),x62201)))
% 201.32/201.09 [6264]~P107(f315(f315(f223(a1),a76),x62641))+P107(f315(f315(f223(a1),a76),f315(f315(f73(a1),x62641),x62641)))
% 201.32/201.09 [6265]~P107(f315(f315(f224(a1),a86),x62651))+P107(f315(f315(f223(a1),a86),f315(f315(f73(a1),x62651),x62651)))
% 201.32/201.09 [6266]~P107(f315(f315(f224(a1),a76),x62661))+P107(f315(f315(f224(a1),a76),f315(f315(f73(a1),x62661),x62661)))
% 201.32/201.09 [6267]~P107(f315(f315(f224(a1),a86),x62671))+P107(f315(f315(f224(a1),a86),f315(f315(f73(a1),x62671),x62671)))
% 201.32/201.09 [6454]~P107(f315(f54(x64541),f230(f901(x64541,a891))))+P107(f315(f54(f897(x64541)),f230(f901(f897(x64541),a891))))
% 201.32/201.09 [6541]~P107(f315(f315(f223(a1),f2(a1)),x65411))+P107(f315(f315(f224(a1),f2(a1)),f315(f315(f73(a1),f71(a1)),x65411)))
% 201.32/201.09 [6548]E(f315(f239(a1,a1),f40(f71(a1),f315(f92(a1),x65481))),f315(f315(f29(a1),f71(a1)),f315(f92(a1),x65481)))+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x65481)))
% 201.32/201.09 [6572]E(f315(f244(a1,a1),f40(f71(a1),f315(f92(a1),x65721))),f38(a1,f71(a1),f315(f92(a1),x65721)))+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x65721)))
% 201.32/201.09 [6584]P107(f315(f54(x65841),f230(f901(x65841,a891))))+~P107(f315(f54(f897(x65841)),f230(f901(f897(x65841),a891))))
% 201.32/201.09 [6614]P107(f315(f315(f223(a1),a76),x66141))+~P107(f315(f315(f223(a1),a76),f315(f315(f73(a1),x66141),x66141)))
% 201.32/201.09 [6615]P107(f315(f315(f224(a1),a76),x66151))+~P107(f315(f315(f224(a1),a76),f315(f315(f73(a1),x66151),x66151)))
% 201.32/201.09 [6616]P107(f315(f315(f224(a1),a86),x66161))+~P107(f315(f315(f223(a1),a86),f315(f315(f73(a1),x66161),x66161)))
% 201.32/201.09 [6617]P107(f315(f315(f224(a1),a86),x66171))+~P107(f315(f315(f224(a1),a86),f315(f315(f73(a1),x66171),x66171)))
% 201.32/201.09 [6940]~P107(f315(f54(x69401),f230(f901(x69401,a891))))+P107(f315(f315(f224(a893),f2(a893)),f315(f28(x69401),f230(f901(x69401,a891)))))
% 201.32/201.09 [7538]P107(f315(f54(a893),x75381))+~P107(f315(f54(a1),f315(f298(a893,a1,f89(a1)),x75381)))
% 201.32/201.09 [5552]~E(a86,x55521)+E(f315(f315(f3(a1),f315(f315(f73(a1),x55521),x55521)),a86),a86)
% 201.32/201.09 [5553]~E(x55531,a86)+E(f315(f315(f3(a1),f315(f315(f73(a1),x55531),x55531)),a86),a86)
% 201.32/201.09 [6088]E(x60881,a86)+~E(f315(f315(f3(a1),f315(f315(f73(a1),x60881),x60881)),a86),a86)
% 201.32/201.09 [6089]E(a86,x60891)+~E(f315(f315(f3(a1),f315(f315(f73(a1),x60891),x60891)),a86),a86)
% 201.32/201.09 [6510]~E(f315(f92(a893),x65101),f2(a893))+P107(f315(a182,f315(f92(a1),f315(f315(f73(a1),x65101),a86))))
% 201.32/201.09 [6870]~P107(f315(a182,f315(f92(a1),x68701)))+P107(f315(a182,f315(f92(a1),f315(f315(f73(a1),x68701),x68701))))
% 201.32/201.09 [6871]~P107(f315(f315(f223(a1),x68711),a76))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x68711),x68711)),a76))
% 201.32/201.09 [6872]~P107(f315(f315(f223(a1),x68721),a86))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x68721),x68721)),a86))
% 201.32/201.09 [6873]~P107(f315(f315(f224(a1),x68731),a76))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x68731),x68731)),a76))
% 201.32/201.09 [6874]~P107(f315(f315(f223(a1),x68741),a86))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x68741),x68741)),a86))
% 201.32/201.09 [7199]E(f315(f92(a893),x71991),f2(a893))+~P107(f315(a182,f315(f92(a1),f315(f315(f73(a1),x71991),a86))))
% 201.32/201.09 [7453]~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x74531)))+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),f315(f315(f73(a1),x74531),x74531))))
% 201.32/201.09 [7454]P107(f315(a182,f315(f92(a1),x74541)))+~P107(f315(a182,f315(f92(a1),f315(f315(f73(a1),x74541),x74541))))
% 201.32/201.09 [7455]P107(f315(f315(f223(a1),x74551),a76))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x74551),x74551)),a76))
% 201.32/201.09 [7456]P107(f315(f315(f223(a1),x74561),a86))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x74561),x74561)),a86))
% 201.32/201.09 [7457]P107(f315(f315(f223(a1),x74571),a86))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x74571),x74571)),a86))
% 201.32/201.09 [7458]P107(f315(f315(f224(a1),x74581),a76))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x74581),x74581)),a76))
% 201.32/201.09 [7819]E(f315(a96,f502(x78191)),x78191)+~P107(f315(f315(f317(f901(f900(a893,a893),a891)),x78191),a87))
% 201.32/201.09 [6427]~P97(x64271)+E(f315(f92(x64271),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f71(x64271))
% 201.32/201.09 [6920]~P107(f315(a182,f315(f92(a1),x69201)))+E(f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x69201),x69201)),a86)),f2(a893))
% 201.32/201.09 [7994]~P107(f315(f315(f224(a1),f315(f92(a1),x79941)),f2(a1)))+E(f315(f239(a1,a1),f315(a44,f43(f315(f72(a1),f71(a1)),f315(f72(a1),f315(f92(a1),x79941))))),f315(f315(f29(a1),f71(a1)),f315(f92(a1),x79941)))
% 201.32/201.09 [8007]~P107(f315(f315(f224(a1),f315(f92(a1),x80071)),f2(a1)))+E(f315(f244(a1,a1),f315(a44,f43(f315(f72(a1),f71(a1)),f315(f72(a1),f315(f92(a1),x80071))))),f38(a1,f71(a1),f315(f92(a1),x80071)))
% 201.32/201.09 [8056]~P107(f315(f315(f223(a1),a76),x80561))+P107(f315(f315(f223(a1),a76),f315(f315(f3(a1),f315(f315(f73(a1),x80561),x80561)),a86)))
% 201.32/201.09 [8057]~P107(f315(f315(f223(a1),a86),x80571))+P107(f315(f315(f223(a1),a86),f315(f315(f3(a1),f315(f315(f73(a1),x80571),x80571)),a86)))
% 201.32/201.09 [8058]~P107(f315(f315(f223(a1),a76),x80581))+P107(f315(f315(f224(a1),a76),f315(f315(f3(a1),f315(f315(f73(a1),x80581),x80581)),a86)))
% 201.32/201.09 [8059]~P107(f315(f315(f224(a1),a86),x80591))+P107(f315(f315(f224(a1),a86),f315(f315(f3(a1),f315(f315(f73(a1),x80591),x80591)),a86)))
% 201.32/201.09 [8356]~P97(x83561)+~P29(x83561,f315(f92(x83561),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))
% 201.32/201.09 [8539]P107(f315(f315(f223(a1),a76),x85391))+~P107(f315(f315(f223(a1),a76),f315(f315(f3(a1),f315(f315(f73(a1),x85391),x85391)),a86)))
% 201.32/201.09 [8540]P107(f315(f315(f223(a1),a76),x85401))+~P107(f315(f315(f224(a1),a76),f315(f315(f3(a1),f315(f315(f73(a1),x85401),x85401)),a86)))
% 201.32/201.09 [8541]P107(f315(f315(f223(a1),a86),x85411))+~P107(f315(f315(f223(a1),a86),f315(f315(f3(a1),f315(f315(f73(a1),x85411),x85411)),a86)))
% 201.32/201.09 [8542]P107(f315(f315(f224(a1),a86),x85421))+~P107(f315(f315(f224(a1),a86),f315(f315(f3(a1),f315(f315(f73(a1),x85421),x85421)),a86)))
% 201.32/201.09 [8862]E(f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x88621),x88621)),a86)),f315(f315(f79(a893,a893),f315(f92(a893),x88621)),f315(f315(f10(a893,a893,a893),a101),f315(f315(f20(a893,a893,a893),f73(a893)),f7(a893)))))+P107(f315(a182,f315(f92(a1),x88621)))
% 201.32/201.09 [9728]E(x97281,f177(f901(f900(a893,a893),a891)))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x97281),f177(f901(f900(a893,a893),a891)))),a62))
% 201.32/201.09 [8789]~P107(f315(a182,f315(f92(a1),x87891)))+P107(f315(a182,f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x87891),x87891)),a86))))
% 201.32/201.09 [8790]~P107(f315(f315(f224(a1),x87901),a76))+P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x87901),x87901)),a86)),a76))
% 201.32/201.09 [8791]~P107(f315(f315(f223(a1),x87911),a86))+P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x87911),x87911)),a86)),a86))
% 201.32/201.09 [8792]~P107(f315(f315(f224(a1),x87921),a76))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x87921),x87921)),a86)),a76))
% 201.32/201.09 [8793]~P107(f315(f315(f224(a1),x87931),a86))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x87931),x87931)),a86)),a86))
% 201.32/201.09 [8903]~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x89031)))+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x89031),x89031)),a86))))
% 201.32/201.09 [9061]~P97(x90611)+E(f315(f315(f73(x90611),f71(x90611)),f71(x90611)),f315(f92(x90611),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))
% 201.32/201.09 [9214]P107(f315(a182,f315(f92(a1),x92141)))+~P107(f315(a182,f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92141),x92141)),a86))))
% 201.32/201.09 [9215]P107(f315(f315(f223(a1),x92151),a86))+~P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92151),x92151)),a86)),a86))
% 201.32/201.09 [9216]P107(f315(f315(f224(a1),x92161),a76))+~P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92161),x92161)),a86)),a76))
% 201.32/201.09 [9217]P107(f315(f315(f224(a1),x92171),a76))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92171),x92171)),a86)),a76))
% 201.32/201.09 [9218]P107(f315(f315(f224(a1),x92181),a86))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92181),x92181)),a86)),a86))
% 201.32/201.09 [9773]~P107(f315(f54(f900(a893,a893)),x97731))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f177(f901(f900(a893,a893),a891))),x97731)),a63))
% 201.32/201.09 [9550]~P147(x95501)+E(f315(f315(f232(x95501),f71(x95501)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(x95501))
% 201.32/201.09 [9551]~P147(x95511)+E(f315(f315(f232(x95511),f2(x95511)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f2(x95511))
% 201.32/201.09 [9996]~P107(f315(f315(f224(a893),f71(a893)),x99961))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f29(a893),x99961),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.09 [10002]~P107(f315(f315(f224(a893),f2(a893)),x100021))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f29(a893),f315(f315(f73(a893),x100021),f71(a893))),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.09 [10040]~E(f38(a893,x100401,f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(a893))+P107(f315(f315(f224(a893),f2(a893)),f38(a893,x100401,f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.09 [10070]E(f38(a893,x100701,f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(a893))+~P107(f315(f315(f224(a893),f2(a893)),f38(a893,x100701,f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.09 [4675]~P7(x46751,x46752)+P45(x46751,x46752)
% 201.32/201.09 [4676]~P39(x46761,x46762)+P59(x46761,x46762)
% 201.32/201.09 [4677]~P46(x46771,x46772)+P59(x46771,x46772)
% 201.32/201.09 [4679]~P7(x46791,x46792)+P51(x46791,x46792)
% 201.32/201.09 [4681]~P15(x46811,x46812)+P51(x46811,x46812)
% 201.32/201.09 [4683]~P7(x46831,x46832)+P52(x46831,x46832)
% 201.32/201.09 [4685]~P15(x46851,x46852)+P52(x46851,x46852)
% 201.32/201.09 [4686]~P7(x46861,x46862)+P15(x46861,x46862)
% 201.32/201.09 [4636]~E(x46361,x46362)+E(f257(x46361,x46362),f71(a88))
% 201.32/201.09 [4639]E(f205(x46391,x46392),x46391)+~E(x46392,f2(a893))
% 201.32/201.09 [4646]~E(x46462,f102(x46461))+E(f141(x46461,x46462),f102(x46461))
% 201.32/201.09 [4665]~E(f141(x46652,x46651),f102(x46652))+E(x46651,f102(x46652))
% 201.32/201.09 [4690]~P1(x46902)+P1(f901(x46901,x46902))
% 201.32/201.09 [4691]~P108(x46912)+P108(f901(x46911,x46912))
% 201.32/201.09 [4692]~P80(x46922)+P2(f901(x46921,x46922))
% 201.32/201.09 [4693]~P109(x46932)+P109(f901(x46931,x46932))
% 201.32/201.09 [4694]~P111(x46942)+P111(f901(x46941,x46942))
% 201.32/201.09 [4695]~P3(x46952)+P3(f901(x46951,x46952))
% 201.32/201.09 [4696]~P80(x46962)+P80(f901(x46961,x46962))
% 201.32/201.09 [4697]~P100(x46972)+P81(f901(x46971,x46972))
% 201.32/201.09 [4698]~P80(x46982)+P103(f901(x46981,x46982))
% 201.32/201.09 [4699]~P101(x46992)+P101(f901(x46991,x46992))
% 201.32/201.09 [4700]~P5(x47002)+P5(f901(x47001,x47002))
% 201.32/201.09 [4701]~P98(x47012)+P98(f901(x47011,x47012))
% 201.32/201.09 [4702]~P92(x47022)+P92(f901(x47021,x47022))
% 201.32/201.09 [4703]~P117(x47032)+P117(f901(x47031,x47032))
% 201.32/201.09 [4704]~P100(x47042)+P102(f901(x47041,x47042))
% 201.32/201.09 [4705]~P100(x47052)+P100(f901(x47051,x47052))
% 201.32/201.09 [4718]E(x47181,x47182)+~E(f315(a101,x47181),f315(a101,x47182))
% 201.32/201.09 [4719]E(x47191,x47192)+~E(f315(a96,x47191),f315(a96,x47192))
% 201.32/201.09 [4720]E(x47201,x47202)+~E(f315(a5,x47201),f315(a5,x47202))
% 201.32/201.09 [4722]E(x47221,x47222)+~E(f315(a22,x47221),f315(a22,x47222))
% 201.32/201.09 [4771]P41(x47711,x47712)+~E(f683(x47712,x47711),f684(x47712,x47711))
% 201.32/201.09 [4801]~P59(x48011,x48012)+P41(x48011,f295(x48011,x48012))
% 201.32/201.09 [4802]~P53(x48021,x48022)+P53(x48021,f295(x48021,x48022))
% 201.32/201.09 [4815]~P62(x48151)+E(f38(x48151,x48152,x48152),f2(x48151))
% 201.32/201.09 [4849]~P39(x48491,x48492)+P39(f894(x48491),f135(x48491,x48492))
% 201.32/201.09 [4850]~P39(x48501,x48502)+P39(f894(x48501),f134(x48501,x48502))
% 201.32/201.09 [4851]~P40(x48511,x48512)+P40(f894(x48511),f136(x48511,x48512))
% 201.32/201.09 [4852]~P40(x48521,x48522)+P40(f894(x48521),f147(x48521,x48522))
% 201.32/201.09 [4853]~P53(x48531,x48532)+P53(f894(x48531),f147(x48531,x48532))
% 201.32/201.09 [4950]~P39(x49501,x49502)+P39(f901(x49501,a891),f308(x49501,x49502))
% 201.32/201.09 [4951]~P39(x49511,x49512)+P39(f901(x49511,a891),f306(x49511,x49512))
% 201.32/201.09 [5082]~P6(x50821)+P42(f291(a1,x50821,x50822))
% 201.32/201.09 [5186]~P39(x51861,x51862)+P61(x51861,f60(x51861,x51861,x51862))
% 201.32/201.09 [5691]~P82(x56911)+P26(x56911,x56911,f72(x56911),x56912)
% 201.32/201.09 [4660]~E(x46602,f102(x46601))+E(f315(f156(x46601),x46602),f102(x46601))
% 201.32/201.09 [4661]~E(x46612,f102(x46611))+E(f315(f157(x46611),x46612),f102(x46611))
% 201.32/201.09 [4724]E(x47241,f315(a93,x47242))+~E(f315(f89(a1),x47241),x47242)
% 201.32/201.09 [4727]E(x47271,f102(x47272))+~E(f315(f156(x47272),x47271),f102(x47272))
% 201.32/201.09 [4728]E(x47281,f102(x47282))+~E(f315(f157(x47282),x47281),f102(x47282))
% 201.32/201.09 [4740]~P97(x47401)+E(f315(f92(x47401),x47402),f315(f91(x47401),x47402))
% 201.32/201.09 [4748]~P4(x47481)+P107(f315(f54(x47481),x47482))
% 201.32/201.09 [4756]~E(f643(x47562,x47561),f102(x47561))+E(f168(x47561,x47562),f102(f894(x47561)))
% 201.32/201.09 [4765]~E(x47652,f102(x47651))+E(f315(f161(x47651),x47652),f177(f901(x47651,a891)))
% 201.32/201.09 [4766]~E(x47662,f102(x47661))+E(f177(f901(x47661,a891)),f315(f161(x47661),x47662))
% 201.32/201.09 [4768]E(x47681,x47682)+~E(f315(f89(a1),x47681),f315(f89(a1),x47682))
% 201.32/201.09 [4772]E(f203(x47721,x47722),f2(a893))+P107(f315(f54(x47721),x47722))
% 201.32/201.09 [4790]~P120(x47901)+E(f75(x47901,f75(x47901,x47902)),f75(x47901,x47902))
% 201.32/201.09 [4804]~P84(x48041)+E(f315(f315(f232(x48041),x48042),f71(a893)),x48042)
% 201.32/201.09 [4805]~P113(x48051)+E(f315(f315(f232(x48051),x48052),f71(a893)),x48052)
% 201.32/201.09 [4806]~P53(x48061,x48062)+E(f315(f274(x48061,x48061),x48062),x48062)
% 201.32/201.09 [4810]E(x48101,x48102)+E(f257(x48101,x48102),f315(f315(f73(a88),x48102),f71(a88)))
% 201.32/201.09 [4813]E(f315(f28(x48131),x48132),f2(a893))+P107(f315(f54(x48131),x48132))
% 201.32/201.09 [4816]~E(f141(x48161,x48162),x48162)+P107(f315(f126(x48161),x48162))
% 201.32/201.09 [4819]~P81(x48191)+E(f315(f315(f99(x48191),x48192),f177(x48191)),x48192)
% 201.32/201.09 [4820]~P77(x48201)+E(f315(f315(f3(x48201),x48202),f2(x48201)),x48202)
% 201.32/201.09 [4821]~P72(x48211)+E(f315(f315(f74(x48211),x48212),f71(x48211)),x48212)
% 201.32/201.09 [4822]~P84(x48221)+E(f315(f315(f74(x48221),x48222),f71(x48221)),x48222)
% 201.32/201.09 [4823]~P113(x48231)+E(f315(f315(f74(x48231),x48232),f71(x48231)),x48232)
% 201.32/201.09 [4824]~P102(x48241)+E(f315(f315(f90(x48241),x48242),f230(x48241)),x48242)
% 201.32/201.09 [4825]~P113(x48251)+E(f315(f315(f73(x48251),x48252),f2(x48251)),x48252)
% 201.32/201.09 [4826]~P76(x48261)+E(f315(f315(f73(x48261),x48262),f2(x48261)),x48262)
% 201.32/201.09 [4827]~P85(x48271)+E(f315(f315(f73(x48271),x48272),f2(x48271)),x48272)
% 201.32/201.09 [4828]~P124(x48281)+E(f315(f315(f279(x48281),x48282),f71(x48281)),x48282)
% 201.32/201.09 [4829]~P62(x48291)+E(f315(f315(f29(x48291),x48292),f71(x48291)),x48292)
% 201.32/201.09 [4830]~P113(x48301)+E(f315(f315(f232(x48301),x48302),f2(a893)),f71(x48301))
% 201.32/201.09 [4831]~P116(x48311)+E(f315(f315(f232(x48311),x48312),f2(a893)),f71(x48311))
% 201.32/201.09 [4832]~E(x48322,f177(f901(x48321,a891)))+E(f315(f28(x48321),x48322),f2(a893))
% 201.32/201.09 [4843]~P62(x48431)+E(f38(x48431,x48432,f2(x48431)),x48432)
% 201.32/201.09 [4854]~P102(x48541)+E(f315(f315(f99(x48541),x48542),f230(x48541)),f230(x48541))
% 201.32/201.09 [4855]~P113(x48551)+E(f315(f315(f74(x48551),x48552),f2(x48551)),f2(x48551))
% 201.32/201.09 [4856]~P137(x48561)+E(f315(f315(f74(x48561),x48562),f2(x48561)),f2(x48561))
% 201.32/201.09 [4857]~P81(x48571)+E(f315(f315(f90(x48571),x48572),f177(x48571)),f177(x48571))
% 201.32/201.09 [4858]~P125(x48581)+E(f315(f315(f279(x48581),x48582),f2(x48581)),f2(x48581))
% 201.32/201.09 [4859]~P62(x48591)+E(f315(f315(f29(x48591),x48592),f2(x48591)),f2(x48591))
% 201.32/201.09 [4861]~P62(x48611)+E(f38(x48611,x48612,f71(x48611)),f2(x48611))
% 201.32/201.09 [4862]~P62(x48621)+E(f38(x48621,f2(x48621),x48622),f2(x48621))
% 201.32/201.09 [4891]E(x48911,f2(a893))+E(f48(x48912,x48911,f102(x48912)),f102(f894(x48912)))
% 201.32/201.09 [4914]P53(x49141,x49142)+~E(f315(f274(x49141,x49141),x49142),x49142)
% 201.32/201.09 [4915]P39(x49151,x49152)+~E(f559(x49152,x49151),f177(f901(x49151,a891)))
% 201.32/201.09 [4916]E(x49161,f102(x49162))+~E(f315(f161(x49162),x49161),f177(f901(x49162,a891)))
% 201.32/201.09 [4917]E(x49171,f102(x49172))+~E(f177(f901(x49172,a891)),f315(f161(x49172),x49171))
% 201.32/201.09 [4920]~E(x49201,x49202)+P107(f315(f315(a312,x49201),x49202))
% 201.32/201.09 [4930]P107(x49301)+P107(f315(f315(a318,x49301),x49302))
% 201.32/201.09 [4931]E(x49311,f102(x49312))+E(f315(f315(f153(x49312),x49311),f2(a893)),f315(f130(x49312),x49311))
% 201.32/201.09 [4934]E(f141(x49341,x49342),x49342)+~P107(f315(f126(x49341),x49342))
% 201.32/201.09 [4941]~P107(x49412)+P107(f315(f315(a318,x49411),x49412))
% 201.32/201.09 [4942]~P107(x49422)+P107(f315(f315(a314,x49421),x49422))
% 201.32/201.09 [4943]~P107(x49431)+P107(f315(f315(a314,x49431),x49432))
% 201.32/201.09 [4953]~E(f644(x49532,x49531),f648(x49532,x49531))+P107(f315(f126(x49531),x49532))
% 201.32/201.09 [4960]E(f315(f250(x49601),x49602),f177(f901(x49601,a891)))+P107(f315(x49602,f515(x49602)))
% 201.32/201.09 [4961]E(f177(f901(x49611,a891)),f315(f250(x49611),x49612))+P107(f315(x49612,f527(x49612)))
% 201.32/201.09 [5034]~P120(x50341)+E(f315(f315(f74(x50341),x50342),f75(x50341,x50342)),f315(f69(x50341),x50342))
% 201.32/201.09 [5046]~E(x50461,f2(a1))+E(f39(x50461,x50462),f315(f315(f240(a1,a1),f2(a1)),f2(a1)))
% 201.32/201.09 [5078]~P59(x50781,x50782)+P59(x50781,f315(f274(x50781,x50781),x50782))
% 201.32/201.09 [5079]~P40(x50791,x50792)+P40(x50791,f315(f274(x50791,x50791),x50792))
% 201.32/201.09 [5080]~P41(x50801,x50802)+P41(x50801,f315(f274(x50801,x50801),x50802))
% 201.32/201.09 [5081]~P53(x50811,x50812)+P53(x50811,f315(f274(x50811,x50811),x50812))
% 201.32/201.09 [5103]E(x51031,x51032)+~P107(f315(f315(a312,x51031),x51032))
% 201.32/201.09 [5114]P107(x51141)+~P107(f315(f315(a313,x51142),x51141))
% 201.32/201.09 [5115]P107(x51151)+~P107(f315(f315(a313,x51151),x51152))
% 201.32/201.09 [5120]~P117(x51201)+P107(f315(f315(f223(x51201),x51202),f230(x51201)))
% 201.32/201.09 [5121]~P113(x51211)+P107(f315(f315(f275(x51211),x51212),f2(x51211)))
% 201.32/201.09 [5125]E(x51251,x51252)+~E(f315(x51251,f322(x51252,x51251)),f315(x51252,f322(x51252,x51251)))
% 201.32/201.09 [5156]E(x51561,f2(a893))+E(f205(x51561,f38(a893,x51562,x51561)),f205(x51562,x51561))
% 201.32/201.09 [5161]~P110(x51611)+P13(x51611,f315(f315(f140(x51611),x51612),f102(x51611)))
% 201.32/201.09 [5163]E(x51631,f2(a1))+P107(f315(f42(x51632,x51631),f39(x51632,x51631)))
% 201.32/201.09 [5181]~P15(x51812,x51811)+P107(f315(f315(x51811,f778(x51811)),f778(x51811)))
% 201.32/201.09 [5184]~E(x51841,x51842)+P107(f315(f315(f224(a893),x51841),f315(a101,x51842)))
% 201.32/201.09 [5194]~E(x51941,f2(a893))+P107(f315(f315(f224(a893),x51941),f315(a101,x51942)))
% 201.32/201.09 [5204]P107(f315(x52041,x52042))+P107(f315(f315(f223(a1),f2(a1)),f341(x52041)))
% 201.32/201.09 [5267]E(f315(f315(f297(x52672),f344(x52672,x52671)),f345(x52672,x52671)),x52671)+E(x52671,f177(f901(x52672,a891)))
% 201.32/201.09 [5268]P59(x52681,x52682)+~P59(x52681,f315(f274(x52681,x52681),x52682))
% 201.32/201.09 [5269]P40(x52691,x52692)+~P40(x52691,f315(f274(x52691,x52691),x52692))
% 201.32/201.09 [5270]P41(x52701,x52702)+~P41(x52701,f315(f274(x52701,x52701),x52702))
% 201.32/201.09 [5271]P53(x52711,x52712)+~P53(x52711,f315(f274(x52711,x52711),x52712))
% 201.32/201.09 [5274]~E(f38(a893,x52742,x52741),f2(a893))+E(f315(f315(f74(a893),x52741),f346(x52741,x52742)),x52742)
% 201.32/201.09 [5275]~E(f38(a1,x52752,x52751),f2(a1))+E(f315(f315(f74(a1),x52751),f324(x52751,x52752)),x52752)
% 201.32/201.09 [5302]~P107(f315(x53021,x53022))+P107(f315(f315(f223(a1),f2(a1)),f323(x53021)))
% 201.32/201.09 [5313]E(f315(f315(f3(a893),f315(a93,x53131)),f315(a93,x53132)),f315(a93,x53131))+~P107(f315(a182,x53132))
% 201.32/201.09 [5336]E(f260(x53361,x53362),f71(a88))+~P107(f315(f315(f223(a88),x53361),f71(a88)))
% 201.32/201.09 [5433]E(f315(f315(f153(x54331),x54332),f644(x54332,x54331)),f315(f315(f153(x54331),x54332),f648(x54332,x54331)))+P107(f315(f126(x54331),x54332))
% 201.32/201.09 [5477]~P107(f315(x54771,f83(x54772,x54771)))+P107(f315(x54771,f573(x54772,x54771)))
% 201.32/201.09 [5542]P61(x55421,x55422)+~P107(f315(f303(x55421,x55422),f528(x55422,x55421)))
% 201.32/201.09 [5688]~P15(x56882,x56881)+P107(f315(f315(x56881,f781(x56881,x56882)),f781(x56881,x56882)))
% 201.32/201.09 [5689]~P15(x56892,x56891)+P107(f315(f315(x56891,f784(x56891,x56892)),f784(x56891,x56892)))
% 201.32/201.09 [5698]~E(f315(a101,f38(a893,x56981,x56982)),x56982)+E(f38(a893,f315(a101,x56981),x56982),f2(a893))
% 201.32/201.09 [5753]P39(x57531,x57532)+P107(f315(f315(f317(x57531),f577(x57532,x57531)),f578(x57532,x57531)))
% 201.32/201.09 [5760]~P97(x57601)+P107(f315(f315(f317(x57601),f315(f92(x57601),x57602)),f98(x57601)))
% 201.32/201.09 [5761]~P144(x57611)+P107(f315(f315(f317(x57611),f315(f89(x57611),x57612)),f98(x57611)))
% 201.32/201.09 [5762]~P147(x57621)+P107(f315(f315(f317(x57621),f315(f89(x57621),x57622)),f175(x57621)))
% 201.32/201.09 [5763]~P144(x57631)+P107(f315(f315(f317(x57631),f315(f91(x57631),x57632)),f98(x57631)))
% 201.32/201.09 [5906]~P40(x59061,x59062)+E(f315(f315(f277(x59061,x59061,x59061),x59062),f295(x59061,x59062)),x59062)
% 201.32/201.09 [5920]E(f315(a101,f38(a893,x59201,x59202)),x59202)+E(f38(a893,f315(a101,x59201),x59202),f315(a101,f38(a893,x59201,x59202)))
% 201.32/201.09 [6351]P39(x63511,x63512)+~P107(f315(f315(f317(x63511),f541(x63512,x63511)),f304(x63511,x63512)))
% 201.32/201.09 [6389]~P112(x63891)+~P107(f315(f315(f224(x63891),f315(f89(x63891),x63892)),f2(x63891)))
% 201.32/201.09 [6390]~P88(x63901)+~P107(f315(f315(f224(x63901),f315(f69(x63901),x63902)),f2(x63901)))
% 201.32/201.09 [6423]E(x64231,f177(f901(x64232,a891)))+~P107(f315(f315(f317(x64232),f344(x64232,x64231)),f345(x64232,x64231)))
% 201.32/201.09 [6481]P107(f315(f315(f224(a1),x64811),f38(a1,x64812,x64811)))+~P107(f315(f315(f224(a1),x64811),f2(a1)))
% 201.32/201.09 [6586]E(f315(f315(f297(a893),f315(a101,x65861)),f291(a893,x65862,x65861)),f291(a893,x65862,f315(a101,x65861)))+~P107(f315(f315(f223(a893),x65862),f315(a101,x65861)))
% 201.32/201.09 [6678]~P110(x66781)+P13(x66781,f139(x66781,x66781,f7(x66781),x66782))
% 201.32/201.09 [6810]E(f315(f156(x68101),x68102),x68102)+~P107(f315(f315(f223(a893),f315(f178(f894(x68101)),x68102)),f71(a893)))
% 201.32/201.09 [6832]~P88(x68321)+P107(f315(f315(f223(x68321),f315(f72(x68321),f315(f69(x68321),x68322))),f2(x68321)))
% 201.32/201.09 [6866]~P39(x68661,x68662)+P39(x68661,f315(f315(f277(x68661,x68661,x68661),x68662),f295(x68661,x68662)))
% 201.32/201.09 [6867]~P53(x68671,x68672)+P53(x68671,f315(f315(f277(x68671,x68671,x68671),x68672),f295(x68671,x68672)))
% 201.32/201.09 [7092]~P107(f315(f315(f224(a1),x70922),f2(a1)))+P107(f315(f315(f223(a1),f38(a1,x70921,x70922)),f2(a1)))
% 201.32/201.09 [7495]~P147(x74951)+E(f179(x74951,f315(f315(f9(x74951,x74951,x74951),f73(x74951)),f71(x74951)),x74952,f2(x74951)),f315(f89(x74951),x74952))
% 201.32/201.09 [7524]~P128(x75241)+~P107(f315(f315(f224(x75241),f315(f315(f74(x75241),x75242),x75242)),f2(x75241)))
% 201.32/201.09 [10161]~P120(x101611)+~P107(f315(f315(f224(x101611),f315(f315(f232(x101611),x101612),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f2(x101611)))
% 201.32/201.09 [4725]~E(x47252,f102(x47251))+E(f315(f178(f894(x47251)),x47252),f2(a893))
% 201.32/201.09 [4757]~E(x47571,f2(a893))+E(f315(f315(f73(a893),x47571),x47572),x47572)
% 201.32/201.09 [4758]~E(x47582,f2(a893))+E(f315(f315(f74(a893),x47581),x47582),f2(a893))
% 201.32/201.09 [4760]~E(x47601,f2(a893))+E(f315(f315(f74(a893),x47601),x47602),f2(a893))
% 201.32/201.09 [4761]~E(x47612,f2(a1))+E(f315(f315(f29(a1),x47611),x47612),f2(a1))
% 201.32/201.09 [4762]~E(x47622,f2(a893))+E(f315(f315(f232(a893),x47621),x47622),f71(a893))
% 201.32/201.09 [4773]E(x47731,f102(x47732))+~E(f315(f178(f894(x47732)),x47731),f2(a893))
% 201.32/201.09 [4775]~P2(x47751)+E(f315(f315(f99(x47751),x47752),x47752),x47752)
% 201.32/201.09 [4776]~P80(x47761)+E(f315(f315(f99(x47761),x47762),x47762),x47762)
% 201.32/201.09 [4778]~P99(x47781)+E(f315(f315(f74(x47781),x47782),x47782),x47782)
% 201.32/201.09 [4779]~P80(x47791)+E(f315(f315(f90(x47791),x47792),x47792),x47792)
% 201.32/201.09 [4781]~P103(x47811)+E(f315(f315(f90(x47811),x47812),x47812),x47812)
% 201.32/201.09 [4783]~P110(x47831)+E(f315(f315(f221(x47831),x47832),x47832),x47832)
% 201.32/201.09 [4785]~P110(x47851)+E(f315(f315(f222(x47851),x47852),x47852),x47852)
% 201.32/201.09 [4803]~P77(x48031)+E(f315(f315(f3(x48031),x48032),x48032),f2(x48031))
% 201.32/201.09 [4817]~P77(x48171)+E(f315(f72(x48171),f315(f72(x48171),x48172)),x48172)
% 201.32/201.09 [4818]~P98(x48181)+E(f315(f72(x48181),f315(f72(x48181),x48182)),x48182)
% 201.32/201.09 [4835]~E(x48352,f2(a893))+E(f315(f315(f232(a893),x48351),x48352),f315(a101,f2(a893)))
% 201.32/201.09 [4870]~P81(x48701)+E(f315(f315(f99(x48701),f177(x48701)),x48702),x48702)
% 201.32/201.09 [4871]~P72(x48711)+E(f315(f315(f74(x48711),f71(x48711)),x48712),x48712)
% 201.32/201.09 [4872]~P84(x48721)+E(f315(f315(f74(x48721),f71(x48721)),x48722),x48722)
% 201.32/201.09 [4873]~P113(x48731)+E(f315(f315(f74(x48731),f71(x48731)),x48732),x48732)
% 201.32/201.09 [4874]~P102(x48741)+E(f315(f315(f90(x48741),f230(x48741)),x48742),x48742)
% 201.32/201.09 [4875]~P113(x48751)+E(f315(f315(f73(x48751),f2(x48751)),x48752),x48752)
% 201.32/201.09 [4876]~P76(x48761)+E(f315(f315(f73(x48761),f2(x48761)),x48762),x48762)
% 201.32/201.09 [4877]~P85(x48771)+E(f315(f315(f73(x48771),f2(x48771)),x48772),x48772)
% 201.32/201.09 [4895]~P102(x48951)+E(f315(f315(f99(x48951),f230(x48951)),x48952),f230(x48951))
% 201.32/201.09 [4896]~P113(x48961)+E(f315(f315(f74(x48961),f2(x48961)),x48962),f2(x48961))
% 201.32/201.09 [4897]~P137(x48971)+E(f315(f315(f74(x48971),f2(x48971)),x48972),f2(x48971))
% 201.32/201.09 [4898]~P81(x48981)+E(f315(f315(f90(x48981),f177(x48981)),x48982),f177(x48981))
% 201.32/201.09 [4899]~P124(x48991)+E(f315(f315(f279(x48991),f2(x48991)),x48992),f2(x48991))
% 201.32/201.09 [4900]~P62(x49001)+E(f315(f315(f29(x49001),f2(x49001)),x49002),f2(x49001))
% 201.32/201.09 [4901]~P84(x49011)+E(f315(f315(f232(x49011),f71(x49011)),x49012),f71(x49011))
% 201.32/201.09 [4909]E(x49091,f102(x49092))+E(f133(x49092,f315(f157(x49092),x49091)),f315(f130(x49092),x49091))
% 201.32/201.09 [4910]E(x49101,f102(x49102))+E(f315(f130(x49102),f315(f157(x49102),x49101)),f133(x49102,x49101))
% 201.32/201.09 [4911]E(x49111,f2(a893))+~E(f315(f315(f73(a893),x49112),x49111),x49112)
% 201.32/201.09 [4918]~P97(x49181)+E(f315(f91(x49181),f315(f92(a1),x49182)),f315(f92(x49181),x49182))
% 201.32/201.09 [4919]~P144(x49191)+E(f315(f91(x49191),f315(f89(a1),x49192)),f315(f89(x49191),x49192))
% 201.32/201.09 [4926]E(x49261,f71(a893))+~E(f315(f315(f74(a893),x49262),x49261),f71(a893))
% 201.32/201.09 [4927]E(x49271,f71(a893))+~E(f315(f315(f74(a893),x49271),x49272),f71(a893))
% 201.32/201.09 [4928]E(x49281,f2(a893))+~E(f315(f315(f73(a893),x49282),x49281),f2(a893))
% 201.32/201.09 [4929]E(x49291,f2(a893))+~E(f315(f315(f73(a893),x49291),x49292),f2(a893))
% 201.32/201.09 [4946]~P120(x49461)+E(f315(f69(x49461),f315(f89(x49461),x49462)),f315(f89(x49461),x49462))
% 201.32/201.09 [4947]~P88(x49471)+E(f315(f69(x49471),f315(f69(x49471),x49472)),f315(f69(x49471),x49472))
% 201.32/201.09 [4948]~P88(x49481)+E(f315(f69(x49481),f315(f72(x49481),x49482)),f315(f69(x49481),x49482))
% 201.32/201.09 [4949]~P76(x49491)+E(f315(f154(x49491),f315(f157(x49491),x49492)),f315(f154(x49491),x49492))
% 201.32/201.09 [4954]~E(x49541,f315(a101,f2(a893)))+E(f315(f315(f232(a893),x49541),x49542),f315(a101,f2(a893)))
% 201.32/201.09 [4963]~P77(x49631)+E(f315(f315(f3(x49631),f2(x49631)),x49632),f315(f72(x49631),x49632))
% 201.32/201.09 [4964]~E(x49642,f2(a893))+E(f128(a893,f315(f290(a893,x49641),x49642)),f102(a893))
% 201.32/201.09 [4973]~P97(x49731)+E(f315(f315(f73(x49731),x49732),f315(f92(x49731),a76)),x49732)
% 201.32/201.09 [4974]E(x49741,f2(a1))+E(f40(f315(f69(a1),x49742),f315(f69(a1),x49741)),f46(x49742,x49741))
% 201.32/201.09 [4990]~E(x49901,x49902)+P107(f315(f315(f223(a893),x49901),x49902))
% 201.32/201.09 [4994]~E(x49941,x49942)+P107(f315(f315(f275(a893),x49941),x49942))
% 201.32/201.09 [5001]~E(x50011,f2(a88))+E(f315(f315(f73(a893),f315(a22,x50011)),x50012),x50012)
% 201.32/201.09 [5015]~P6(x50151)+P6(f315(f315(f232(a1),x50151),x50152))
% 201.32/201.09 [5016]~P98(x50161)+E(f315(f315(f99(x50161),x50162),f315(f72(x50161),x50162)),f230(x50161))
% 201.32/201.09 [5017]~P98(x50171)+E(f315(f315(f90(x50171),x50172),f315(f72(x50171),x50172)),f177(x50171))
% 201.32/201.09 [5018]~P77(x50181)+E(f315(f315(f73(x50181),x50182),f315(f72(x50181),x50182)),f2(x50181))
% 201.32/201.09 [5043]E(x50431,f2(a893))+~E(f315(f72(a1),f315(f89(a1),x50432)),f315(f89(a1),x50431))
% 201.32/201.09 [5044]E(x50441,f2(a893))+~E(f315(f72(a1),f315(f89(a1),x50441)),f315(f89(a1),x50442))
% 201.32/201.09 [5054]E(f183(x50541,x50542),f2(a1))+P107(f315(f315(f223(a1),x50542),x50541))
% 201.32/201.09 [5055]E(f167(x50551,x50552),f102(a1))+P107(f315(f315(f223(a1),x50551),x50552))
% 201.32/201.09 [5056]E(f229(x50561,x50562),f2(a88))+P107(f315(f315(f224(a88),x50561),x50562))
% 201.32/201.09 [5069]E(x50691,f315(a101,f2(a893)))+~E(f315(f315(f74(a893),x50692),x50691),f315(a101,f2(a893)))
% 201.32/201.09 [5070]E(x50701,f315(a101,f2(a893)))+~E(f315(f315(f74(a893),x50701),x50702),f315(a101,f2(a893)))
% 201.32/201.09 [5071]~P108(x50711)+P107(f315(f315(f223(x50711),x50712),x50712))
% 201.32/201.09 [5072]~P113(x50721)+P107(f315(f315(f275(x50721),x50722),x50722))
% 201.32/201.09 [5075]~P97(x50751)+E(f315(f315(f74(x50751),x50752),f315(f92(x50751),a86)),f315(f72(x50751),x50752))
% 201.32/201.09 [5095]~P97(x50951)+E(f315(f72(x50951),f315(f92(x50951),x50952)),f315(f92(x50951),f315(f72(a1),x50952)))
% 201.32/201.09 [5096]~P144(x50961)+E(f315(f72(x50961),f315(f91(x50961),x50962)),f315(f91(x50961),f315(f72(a1),x50962)))
% 201.32/201.09 [5126]~E(x51261,f315(a101,x51262))+P107(f315(f315(f224(a893),f2(a893)),x51261))
% 201.32/201.09 [5144]~P110(x51441)+E(f315(f72(f901(x51441,a891)),f315(f270(x51441),x51442)),f315(f271(x51441),x51442))
% 201.32/201.09 [5145]~P110(x51451)+E(f315(f72(f901(x51451,a891)),f315(f289(x51451),x51452)),f315(f292(x51451),x51452))
% 201.32/201.09 [5146]~P110(x51461)+E(f315(f72(f901(x51461,a891)),f315(f292(x51461),x51462)),f315(f289(x51461),x51462))
% 201.32/201.09 [5147]~P110(x51471)+E(f315(f72(f901(x51471,a891)),f315(f271(x51471),x51472)),f315(f270(x51471),x51472))
% 201.32/201.09 [5155]~E(f315(f89(a1),x51552),x51551)+P107(f315(f315(f223(a1),f2(a1)),x51551))
% 201.32/201.09 [5162]~E(x51622,f2(a1))+E(f46(x51621,x51622),f315(f315(f240(a1,a1),f2(a1)),f315(f69(a1),x51621)))
% 201.32/201.09 [5164]~P1(x51641)+P107(f315(f315(f223(x51641),f177(x51641)),x51642))
% 201.32/201.09 [5165]~P113(x51651)+P107(f315(f315(f275(x51651),f71(x51651)),x51652))
% 201.32/201.09 [5199]E(x51991,x51992)+~E(f315(f315(f73(a1),x51991),x51991),f315(f315(f73(a1),x51992),x51992))
% 201.32/201.09 [5203]~P107(f315(x52031,x52032))+P107(f315(x52031,f315(a93,f323(x52031))))
% 201.32/201.09 [5229]~P120(x52291)+E(f315(f315(f74(x52291),f75(x52291,x52292)),f315(f69(x52291),x52292)),x52292)
% 201.32/201.09 [5236]~E(x52362,f2(a893))+E(f78(f900(a893,a893),f41(x52361,x52362)),f315(f315(f240(a893,a893),f2(a893)),x52361))
% 201.32/201.09 [5241]~E(x52411,x52412)+~P107(f315(f315(f224(a893),x52411),x52412))
% 201.32/201.09 [5242]~E(x52421,x52422)+~P107(f315(f315(f224(a1),x52421),x52422))
% 201.32/201.09 [5245]~P147(x52451)+E(f315(f315(f73(x52451),f71(x52451)),f315(f89(x52451),x52452)),f315(f89(x52451),f315(a101,x52452)))
% 201.32/201.09 [5249]~E(x52491,f2(a893))+~P107(f315(f315(f224(a893),x52492),x52491))
% 201.32/201.09 [5263]E(f141(x52631,x52632),x52632)+~E(f315(f178(f894(x52631)),f141(x52631,x52632)),f315(f178(f894(x52631)),x52632))
% 201.32/201.09 [5264]E(f315(f28(x52641),f315(f161(x52641),x52642)),f315(f178(f894(x52641)),x52642))+~P107(f315(f126(x52641),x52642))
% 201.32/201.09 [5279]~P107(f315(x52791,f325(x52791)))+P107(f315(x52791,f315(f89(a1),x52792)))
% 201.32/201.09 [5290]E(f229(x52901,x52902),x52902)+~P107(f315(f315(f224(a88),x52901),x52902))
% 201.32/201.09 [5292]E(f260(x52921,x52922),f71(a88))+~P107(f315(f315(f224(a88),x52922),x52921))
% 201.32/201.09 [5293]E(f167(x52931,x52932),f102(a1))+~P107(f315(f315(f224(a1),x52932),x52931))
% 201.32/201.09 [5294]E(f117(x52941,x52942),f104(a1))+~P107(f315(f315(f224(a1),x52941),x52942))
% 201.32/201.09 [5296]~P111(x52961)+E(f291(x52961,x52962,x52962),f315(f315(f297(x52961),x52962),f177(f901(x52961,a891))))
% 201.32/201.09 [5316]~E(f315(f315(f3(a893),x53161),x53162),f2(a893))+P107(f315(f315(f223(a893),x53161),x53162))
% 201.32/201.09 [5333]~E(x53332,f2(a893))+E(f48(x53331,x53332,f102(x53331)),f315(f315(f140(f894(x53331)),f102(x53331)),f102(f894(x53331))))
% 201.32/201.09 [5337]~P108(x53371)+~P107(f315(f315(f224(x53371),x53372),x53372))
% 201.32/201.09 [5339]~E(f38(a1,x53391,x53392),f2(a1))+E(f38(a1,x53391,f315(f72(a1),x53392)),f2(a1))
% 201.32/201.09 [5341]~E(f38(a1,x53411,x53412),f2(a1))+E(f38(a1,f315(f72(a1),x53411),x53412),f2(a1))
% 201.32/201.09 [5349]E(f315(f290(a893,x53491),f315(a101,x53492)),f177(f901(a893,a891)))+P107(f315(f315(f223(a893),x53491),x53492))
% 201.32/201.09 [5373]E(f128(a893,f315(f290(a893,x53731),x53732)),f102(a893))+P107(f315(f315(f224(a893),x53731),x53732))
% 201.32/201.09 [5378]~E(f315(f28(x53781),f315(f161(x53781),x53782)),f315(f178(f894(x53781)),x53782))+P107(f315(f126(x53781),x53782))
% 201.32/201.09 [5382]~P107(f315(f126(x53821),x53822))+P107(f315(f126(x53821),f315(f156(x53821),x53822)))
% 201.32/201.09 [5383]~P107(f315(f126(x53831),x53832))+P107(f315(f126(x53831),f315(f160(x53831),x53832)))
% 201.32/201.09 [5384]~P107(f315(f126(x53841),x53842))+P107(f315(f126(x53841),f315(f157(x53841),x53842)))
% 201.32/201.09 [5392]P107(f315(x53921,x53922))+~P107(f315(x53921,f315(a93,f341(x53921))))
% 201.32/201.09 [5393]P107(f315(f315(f223(a893),x53932),x53931))+P107(f315(f315(f223(a893),x53931),x53932))
% 201.32/201.09 [5394]P107(f315(f315(f223(a1),x53942),x53941))+P107(f315(f315(f223(a1),x53941),x53942))
% 201.32/201.09 [5398]~P88(x53981)+P107(f315(f315(f223(x53981),x53982),f315(f69(x53981),x53982)))
% 201.32/201.09 [5401]P107(f315(x54011,f326(x54011)))+~P107(f315(x54011,f315(f89(a1),x54012)))
% 201.32/201.09 [5425]E(f315(f315(f3(a893),x54251),x54252),f2(a893))+~P107(f315(f315(f223(a893),x54251),x54252))
% 201.32/201.09 [5426]E(f315(f315(f29(a893),x54261),x54262),f2(a893))+~P107(f315(f315(f224(a893),x54261),x54262))
% 201.32/201.09 [5445]E(f38(a893,x54451,x54452),x54451)+~P107(f315(f315(f224(a893),x54451),x54452))
% 201.32/201.09 [5453]E(f38(a1,x54531,f315(f72(a1),x54532)),f280(x54531,x54532))+P107(f315(f315(f223(a1),f2(a1)),x54532))
% 201.32/201.09 [5466]E(f315(f315(f3(a1),x54661),x54662),f183(x54661,x54662))+~P107(f315(f315(f223(a1),x54662),x54661))
% 201.32/201.09 [5486]P107(f315(f315(f223(a1),f2(a1)),f325(x54861)))+P107(f315(x54861,f315(f89(a1),x54862)))
% 201.32/201.09 [5499]~P112(x54991)+P107(f315(f315(f223(x54991),f2(x54991)),f315(f89(x54991),x54992)))
% 201.32/201.09 [5500]~P88(x55001)+P107(f315(f315(f223(x55001),f2(x55001)),f315(f69(x55001),x55002)))
% 201.32/201.09 [5528]E(f315(f315(f73(a893),x55281),f574(x55282,x55281)),x55282)+~P107(f315(f315(f223(a893),x55281),x55282))
% 201.32/201.09 [5543]E(f291(a1,x55431,x55432),f177(f901(a1,a891)))+~P107(f315(f315(f224(a1),x55432),x55431))
% 201.32/201.09 [5545]~P120(x55451)+E(f315(f315(f74(x55451),f315(f69(x55451),x55452)),f315(f69(x55451),x55452)),f315(f315(f74(x55451),x55452),x55452))
% 201.32/201.09 [5551]E(f128(a893,f315(f290(a893,x55511),f315(a101,x55512))),f102(a893))+P107(f315(f315(f223(a893),x55511),x55512))
% 201.32/201.09 [5555]E(f315(f315(f29(a1),x55551),x55552),f281(x55551,x55552))+~P107(f315(f315(f223(a1),f2(a1)),x55552))
% 201.32/201.09 [5575]P107(f315(f126(x55751),x55752))+~P107(f315(f126(x55751),f315(f156(x55751),x55752)))
% 201.32/201.09 [5576]P107(f315(f126(x55761),x55762))+~P107(f315(f126(x55761),f315(f157(x55761),x55762)))
% 201.32/201.09 [5603]P107(f315(f54(a893),x56031))+P107(f315(f315(f317(a893),f356(x56031,x56032)),x56031))
% 201.32/201.09 [5604]P107(f315(f54(a893),x56041))+P107(f315(f315(f317(a893),f386(x56041,x56042)),x56041))
% 201.32/201.09 [5607]P107(f315(f315(f224(a893),x56072),f315(a101,x56071)))+P107(f315(f315(f224(a893),x56071),x56072))
% 201.32/201.09 [5608]E(f38(a1,x56081,x56082),f280(x56081,x56082))+~P107(f315(f315(f223(a1),f2(a1)),x56082))
% 201.32/201.09 [5612]E(f128(a893,f315(f290(a893,x56121),x56122)),f102(a893))+~P107(f315(f315(f223(a893),x56122),x56121))
% 201.32/201.09 [5613]~P82(x56131)+E(f315(f298(x56131,x56131,f72(x56131)),f315(f270(x56131),x56132)),f315(f292(x56131),f315(f72(x56131),x56132)))
% 201.32/201.09 [5614]~P82(x56141)+E(f315(f298(x56141,x56141,f72(x56141)),f315(f289(x56141),x56142)),f315(f271(x56141),f315(f72(x56141),x56142)))
% 201.32/201.09 [5615]~P82(x56151)+E(f315(f298(x56151,x56151,f72(x56151)),f315(f292(x56151),x56152)),f315(f270(x56151),f315(f72(x56151),x56152)))
% 201.32/201.09 [5616]~P82(x56161)+E(f315(f298(x56161,x56161,f72(x56161)),f315(f271(x56161),x56162)),f315(f289(x56161),f315(f72(x56161),x56162)))
% 201.32/201.09 [5627]E(x56271,f177(f901(x56272,a891)))+P107(f315(f315(f317(x56272),f861(x56271,x56272)),x56271))
% 201.32/201.09 [5628]E(x56281,f177(f901(x56282,a891)))+P107(f315(f315(f317(x56282),f335(x56281,x56282)),x56281))
% 201.32/201.09 [5639]~P107(f315(f315(f224(a893),x56391),x56392))+P107(f315(f315(f223(a893),x56391),x56392))
% 201.32/201.09 [5640]~P107(f315(f315(f224(a1),x56401),x56402))+P107(f315(f315(f223(a1),x56401),x56402))
% 201.32/201.09 [5656]E(f40(x56561,x56562),f315(f315(f240(a1,a1),f2(a1)),x56561))+~P107(f315(f315(f224(a1),x56561),x56562))
% 201.32/201.09 [5658]E(f204(f315(f72(a1),x56581),f315(f72(a1),x56582)),f204(x56581,x56582))+~P107(f315(f315(f224(a1),x56582),f2(a1)))
% 201.32/201.09 [5670]E(x56701,x56702)+~E(f315(a5,f315(a101,f315(a22,x56701))),f315(a5,f315(a101,f315(a22,x56702))))
% 201.32/201.09 [5675]E(f40(x56751,x56752),f315(f315(f240(a1,a1),f2(a1)),x56751))+~P107(f315(f315(f223(a1),x56752),f2(a1)))
% 201.32/201.09 [5704]E(f38(a893,f315(f92(a893),x57041),f315(f92(a893),x57042)),f2(a893))+~P107(f315(a182,f315(f92(a1),x57041)))
% 201.32/201.09 [5718]P107(f315(f315(f223(a1),f2(a1)),f326(x57181)))+~P107(f315(x57181,f315(f89(a1),x57182)))
% 201.32/201.09 [5751]P42(f291(a1,x57511,x57512))+~P107(f315(f315(f223(a1),f2(a1)),x57511))
% 201.32/201.09 [5756]~P107(f315(f54(x57561),x57562))+P107(f315(f54(f901(x57561,a891)),f315(f296(x57561),x57562)))
% 201.32/201.09 [5769]E(f315(f315(f73(a1),x57691),f315(f89(a1),f328(x57692,x57691))),x57692)+~P107(f315(f315(f223(a1),x57691),x57692))
% 201.32/201.09 [5777]P107(f315(f315(f223(a893),x57771),x57772))+P107(f315(f315(f223(a893),f315(a101,x57772)),x57771))
% 201.32/201.09 [5821]E(f315(f315(f29(a893),f315(f92(a893),x58211)),f315(f92(a893),x58212)),f2(a893))+~P107(f315(a182,f315(f92(a1),x58211)))
% 201.32/201.09 [5822]E(f315(f315(f74(a893),f315(f92(a893),x58221)),f315(f92(a893),x58222)),f2(a893))+~P107(f315(f315(f224(a1),x58221),a76))
% 201.32/201.09 [5824]P107(f315(f315(f223(a893),x58241),f315(a101,x58242)))+~P107(f315(f315(f223(a893),x58241),x58242))
% 201.32/201.09 [5826]P107(f315(f315(f224(a893),x58261),f315(a101,x58262)))+~P107(f315(f315(f223(a893),x58261),x58262))
% 201.32/201.09 [5828]P107(f315(f315(f224(a893),x58281),f315(a101,x58282)))+~P107(f315(f315(f224(a893),x58281),x58282))
% 201.32/201.09 [5831]~E(x58311,x58312)+P107(f315(f315(f224(a1),x58311),f315(f315(f73(a1),x58312),f71(a1))))
% 201.32/201.09 [5834]E(f38(a1,x58341,x58342),f2(a1))+E(f315(f315(f3(a1),x58342),f38(a1,x58341,x58342)),f38(a1,f315(f72(a1),x58341),x58342))
% 201.32/201.09 [5843]E(x58431,f102(x58432))+P107(f315(f315(f317(x58432),f133(x58432,x58431)),f315(f161(x58432),x58431)))
% 201.32/201.09 [5855]E(f78(f900(a893,a893),f41(x58551,x58552)),f315(f315(f240(a893,a893),f2(a893)),x58551))+~P107(f315(f315(f224(a893),x58551),x58552))
% 201.32/201.09 [5899]E(f315(f315(f3(a893),f315(f92(a893),x58991)),f315(f92(a893),x58992)),f315(f92(a893),x58991))+~P107(f315(f315(f224(a1),x58992),a76))
% 201.32/201.09 [5900]E(f315(f315(f73(a893),f315(f92(a893),x59001)),f315(f92(a893),x59002)),f315(f92(a893),x59002))+~P107(f315(f315(f224(a1),x59001),a76))
% 201.32/201.09 [5907]E(f315(a101,f315(f315(f73(a893),x59071),f630(x59072,x59071))),x59072)+~P107(f315(f315(f224(a893),x59071),x59072))
% 201.32/201.09 [5931]P107(f315(x59311,x59312))+~P107(f315(x59311,f315(a82,f552(x59312,x59311))))
% 201.32/201.09 [5932]P107(f315(x59321,x59322))+~P107(f315(x59321,f315(a5,f796(x59322,x59321))))
% 201.32/201.09 [5941]~P107(f315(f315(f224(a893),x59411),f315(a101,x59412)))+P107(f315(f315(f223(a893),x59411),x59412))
% 201.32/201.09 [5991]E(f315(f315(f297(a893),x59911),f315(f290(a893,x59912),x59911)),f315(f290(a893,x59912),f315(a101,x59911)))+~P107(f315(f315(f223(a893),x59912),x59911))
% 201.32/201.09 [5993]E(x59931,f102(x59932))+E(f315(f315(f123(x59932),f103(x59932,x59931)),f315(f315(f140(x59932),f133(x59932,x59931)),f102(x59932))),x59931)
% 201.32/201.09 [6010]P107(f315(f54(x60101),x60102))+~P107(f315(f315(f224(a893),f2(a893)),f315(f28(x60101),x60102)))
% 201.32/201.09 [6014]~E(x60141,f177(f901(x60142,a891)))+~P107(f315(f315(f224(a893),f2(a893)),f315(f28(x60142),x60141)))
% 201.32/201.09 [6026]~P107(f315(f315(f224(a893),x60261),x60262))+P107(f315(f315(f223(a893),f315(a101,x60261)),x60262))
% 201.32/201.09 [6030]~P110(x60301)+E(f139(x60301,x60301,f7(x60301),f141(x60301,x60302)),f128(x60301,f315(f161(x60301),x60302)))
% 201.32/201.09 [6033]E(x60331,f102(x60332))+P107(f315(f315(f317(x60332),f315(f130(x60332),x60331)),f315(f161(x60332),x60331)))
% 201.32/201.09 [6039]~P112(x60391)+P107(f315(f315(f224(x60391),x60392),f315(f315(f73(x60391),x60392),f71(x60391))))
% 201.32/201.09 [6041]~P88(x60411)+P107(f315(f315(f223(x60411),f315(f72(x60411),x60412)),f315(f69(x60411),x60412)))
% 201.32/201.09 [6055]~E(x60551,x60552)+E(f278(a893,f275(a893),x60551,x60552),f315(f315(f297(a893),x60551),f177(f901(a893,a891))))
% 201.32/201.09 [6073]P107(f315(f54(a893),x60731))+~P107(f315(f315(f223(a893),f386(x60731,x60732)),x60732))
% 201.32/201.09 [6074]P107(f315(f54(a893),x60741))+~P107(f315(f315(f224(a893),f356(x60741,x60742)),x60742))
% 201.32/201.09 [6077]~P107(f315(f54(f900(x60771,x60771)),x60772))+P107(f315(f54(x60771),f315(f269(x60771),x60772)))
% 201.32/201.09 [6133]E(f278(a893,f275(a893),x61331,x61332),f177(f901(a893,a891)))+P107(f315(f315(f275(a893),x61331),x61332))
% 201.32/201.09 [6136]~P107(f315(f315(f224(a893),x61362),f315(a101,x61361)))+~P107(f315(f315(f224(a893),x61361),x61362))
% 201.32/201.09 [6137]~P111(x61371)+E(f315(f315(f90(f901(x61371,a891)),f315(f289(x61371),x61372)),f315(f271(x61371),x61372)),f315(f315(f297(x61371),x61372),f177(f901(x61371,a891))))
% 201.32/201.09 [6149]P107(f315(f54(x61491),x61492))+~P107(f315(f54(f901(x61491,a891)),f315(f296(x61491),x61492)))
% 201.32/201.09 [6172]P107(f315(f315(f223(a893),f315(a101,x61721)),f315(a101,x61722)))+~P107(f315(f315(f223(a893),x61721),x61722))
% 201.32/201.09 [6173]P107(f315(f315(f223(a893),f315(a22,x61731)),f315(a22,x61732)))+~P107(f315(f315(f223(a88),x61731),x61732))
% 201.32/201.09 [6174]P107(f315(f315(f223(a88),f315(a5,x61741)),f315(a5,x61742)))+~P107(f315(f315(f223(a893),x61741),x61742))
% 201.32/201.09 [6176]P107(f315(f315(f224(a893),f315(a101,x61761)),f315(a101,x61762)))+~P107(f315(f315(f224(a893),x61761),x61762))
% 201.32/201.09 [6177]P107(f315(f315(f224(a893),f315(a22,x61771)),f315(a22,x61772)))+~P107(f315(f315(f224(a88),x61771),x61772))
% 201.32/201.09 [6178]P107(f315(f315(f224(a88),f315(a5,x61781)),f315(a5,x61782)))+~P107(f315(f315(f224(a893),x61781),x61782))
% 201.32/201.09 [6183]E(x61831,x61832)+~E(f315(f298(a893,a1,f89(a1)),x61831),f315(f298(a893,a1,f89(a1)),x61832))
% 201.32/201.09 [6199]P107(f315(f315(f223(a893),x61991),x61992))+~P107(f315(f315(f223(a893),f315(a101,x61991)),x61992))
% 201.32/201.09 [6202]P107(f315(f315(f224(a893),x62021),x62022))+~P107(f315(f315(f223(a893),f315(a101,x62021)),x62022))
% 201.32/201.09 [6203]P107(f315(f315(f224(a893),x62031),x62032))+~P107(f315(f315(f224(a893),f315(a101,x62031)),x62032))
% 201.32/201.09 [6223]E(f38(a1,x62231,x62232),f2(a1))+E(f315(f315(f3(a1),f38(a1,x62231,x62232)),x62232),f38(a1,x62231,f315(f72(a1),x62232)))
% 201.32/201.09 [6291]E(f315(f28(f901(x62911,a891)),f315(f296(x62911),x62912)),f315(f315(f232(a893),f315(a101,f315(a101,f2(a893)))),f315(f28(x62911),x62912)))+~P107(f315(f54(x62911),x62912))
% 201.32/201.09 [6294]E(x62941,f102(x62942))+E(f315(f315(f153(x62942),x62941),f315(f315(f3(a893),f315(f178(f894(x62942)),x62941)),f71(a893))),f133(x62942,x62941))
% 201.32/201.09 [6316]E(x63161,f102(x63162))+E(f315(f315(f123(x63162),f315(f160(x63162),x63161)),f315(f315(f140(x63162),f315(f130(x63162),x63161)),f102(x63162))),f315(f156(x63162),x63161))
% 201.32/201.09 [6348]~P107(f315(f54(x63481),f30(f901(x63481,a891),x63482)))+P107(f315(f54(f901(x63481,a891)),x63482))
% 201.32/201.09 [6370]P107(f315(f315(f223(a893),f315(f92(a893),x63701)),f315(f92(a893),x63702)))+~P107(f315(f315(f223(a1),x63701),a76))
% 201.32/201.09 [6393]~P107(f315(f315(f224(a1),x63931),x63932))+P107(f315(f315(f223(a1),x63931),f315(f315(f3(a1),x63932),f71(a1))))
% 201.32/201.09 [6394]~P107(f315(f315(f223(a1),x63941),x63942))+P107(f315(f315(f224(a1),x63941),f315(f315(f73(a1),x63942),f71(a1))))
% 201.32/201.09 [6395]~P107(f315(f315(f224(a1),x63951),x63952))+P107(f315(f315(f224(a1),x63951),f315(f315(f73(a1),x63952),f71(a1))))
% 201.32/201.09 [6397]~P107(f315(f315(f223(a1),x63971),x63972))+P107(f315(f315(f223(a893),f315(f92(a893),x63971)),f315(f92(a893),x63972)))
% 201.32/201.09 [6398]~P107(f315(f315(f223(a1),x63981),x63982))+P107(f315(f315(f223(a1),f315(f92(a1),x63981)),f315(f92(a1),x63982)))
% 201.32/201.09 [6400]~P107(f315(f315(f223(a893),x64001),x64002))+P107(f315(f315(f223(a1),f315(f89(a1),x64001)),f315(f89(a1),x64002)))
% 201.32/201.09 [6401]~P107(f315(f315(f224(a1),x64011),x64012))+P107(f315(f315(f224(a1),f315(f92(a1),x64011)),f315(f92(a1),x64012)))
% 201.32/201.09 [6403]~P107(f315(f315(f224(a893),x64031),x64032))+P107(f315(f315(f224(a1),f315(f89(a1),x64031)),f315(f89(a1),x64032)))
% 201.32/201.09 [6424]~P107(f315(f315(f223(a893),x64241),x64242))+~P107(f315(f315(f223(a893),f315(a101,x64242)),x64241))
% 201.32/201.09 [6467]~P107(f315(f315(f223(a893),f315(a101,x64671)),f315(a101,x64672)))+P107(f315(f315(f223(a893),x64671),x64672))
% 201.32/201.09 [6468]~P107(f315(f315(f223(a88),f315(a5,x64681)),f315(a5,x64682)))+P107(f315(f315(f223(a893),x64681),x64682))
% 201.32/201.09 [6469]~P107(f315(f315(f223(a893),f315(a22,x64691)),f315(a22,x64692)))+P107(f315(f315(f223(a88),x64691),x64692))
% 201.32/201.09 [6471]~P107(f315(f315(f224(a893),f315(a101,x64711)),f315(a101,x64712)))+P107(f315(f315(f224(a893),x64711),x64712))
% 201.32/201.09 [6472]~P107(f315(f315(f224(a88),f315(a5,x64721)),f315(a5,x64722)))+P107(f315(f315(f224(a893),x64721),x64722))
% 201.32/201.09 [6473]~P107(f315(f315(f224(a893),f315(a93,x64731)),f315(a93,x64732)))+P107(f315(f315(f224(a1),x64731),x64732))
% 201.32/201.09 [6474]~P107(f315(f315(f224(a893),f315(a22,x64741)),f315(a22,x64742)))+P107(f315(f315(f224(a88),x64741),x64742))
% 201.32/201.09 [6516]~P107(f315(f315(f224(a893),f315(a93,x65162)),f315(a93,x65161)))+P107(f315(f315(f224(a1),f2(a1)),x65161))
% 201.32/201.09 [6547]P107(f315(f315(f223(a1),f2(a1)),f38(a1,x65471,x65472)))+~P107(f315(f315(f224(a1),f2(a1)),x65472))
% 201.32/201.09 [6712]P39(x67121,x67122)+~E(f315(f315(f277(x67121,x67121,x67121),x67122),x67122),f177(f901(f900(x67121,x67121),a891)))
% 201.32/201.09 [6728]~P39(x67281,x67282)+P39(x67281,f315(f315(f277(x67281,x67281,x67281),x67282),x67282))
% 201.32/201.09 [6739]P107(f315(f315(f223(a1),x67391),x67392))+~P107(f315(f315(f224(a1),x67391),f315(f315(f73(a1),x67392),f71(a1))))
% 201.32/201.09 [6740]P107(f315(f315(f224(a1),x67401),x67402))+~P107(f315(f315(f223(a1),x67401),f315(f315(f3(a1),x67402),f71(a1))))
% 201.32/201.09 [6743]P107(f315(f315(f223(a893),x67431),x67432))+~P107(f315(f315(f223(a1),f315(f89(a1),x67431)),f315(f89(a1),x67432)))
% 201.32/201.09 [6744]P107(f315(f315(f223(a1),x67441),x67442))+~P107(f315(f315(f223(a1),f315(f92(a1),x67441)),f315(f92(a1),x67442)))
% 201.32/201.09 [6746]P107(f315(f315(f224(a893),x67461),x67462))+~P107(f315(f315(f224(a1),f315(f89(a1),x67461)),f315(f89(a1),x67462)))
% 201.32/201.09 [6747]P107(f315(f315(f224(a1),x67471),x67472))+~P107(f315(f315(f224(a893),f315(f92(a893),x67471)),f315(f92(a893),x67472)))
% 201.32/201.09 [6748]P107(f315(f315(f224(a1),x67481),x67482))+~P107(f315(f315(f224(a1),f315(f92(a1),x67481)),f315(f92(a1),x67482)))
% 201.32/201.09 [6821]~E(f278(a893,f275(a893),x68211,x68212),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x68211),x68212))
% 201.32/201.09 [6848]~E(f677(x68482,x68481),f102(x68481))+E(f315(f131(f894(x68481),f894(x68481),f123(x68481),f102(x68481)),x68482),f102(x68481))
% 201.32/201.09 [6849]~E(f680(x68492,x68491),f102(x68491))+E(f315(f131(f894(x68491),f894(x68491),f123(x68491),f102(x68491)),x68492),f102(x68491))
% 201.32/201.09 [6853]~P5(x68531)+E(f315(f131(x68531,x68531,f99(x68531),f177(x68531)),x68532),f30(x68531,f315(f161(x68531),x68532)))
% 201.32/201.09 [6854]~P5(x68541)+E(f315(f131(x68541,x68541,f90(x68541),f230(x68541)),x68542),f31(x68541,f315(f161(x68541),x68542)))
% 201.32/201.09 [6868]E(x68681,f2(a88))+E(f315(f315(f73(a893),f315(a22,f315(f315(f3(a88),x68681),f71(a88)))),f315(a101,x68682)),f315(f315(f73(a893),f315(a22,x68681)),x68682))
% 201.32/201.09 [6917]P107(f315(f315(f224(a1),f315(f315(f3(a1),x69171),x69172)),f2(a1)))+~P107(f315(f315(f224(a1),x69171),x69172))
% 201.32/201.09 [6942]~P110(x69421)+E(f315(f315(f99(f901(x69421,a891)),f315(f315(f297(x69421),x69422),f177(f901(x69421,a891)))),f315(f292(x69421),x69422)),f315(f271(x69421),x69422))
% 201.32/201.09 [7019]~P61(x70191,x70192)+P39(x70191,f315(f250(f900(x70191,x70191)),f315(f245(x70191,x70191,a891),x70192)))
% 201.32/201.09 [7020]~P61(x70201,x70202)+P59(x70201,f315(f250(f900(x70201,x70201)),f315(f245(x70201,x70201,a891),x70202)))
% 201.32/201.09 [7021]~P51(x70211,x70212)+P40(x70211,f315(f250(f900(x70211,x70211)),f315(f245(x70211,x70211,a891),x70212)))
% 201.32/201.09 [7022]~P52(x70221,x70222)+P53(x70221,f315(f250(f900(x70221,x70221)),f315(f245(x70221,x70221,a891),x70222)))
% 201.32/201.09 [7023]E(x70231,f177(f901(x70232,a891)))+~P107(f315(f315(f223(f901(x70232,a891)),x70231),f177(f901(x70232,a891))))
% 201.32/201.09 [7108]~P107(f315(f315(f224(a893),f2(a893)),x71082))+P107(f315(f315(f223(a893),f38(a893,x71081,x71082)),x71082))
% 201.32/201.09 [7109]~P107(f315(f315(f223(a1),f2(a1)),x71091))+P107(f315(f315(f223(a1),f38(a1,x71091,x71092)),x71091))
% 201.32/201.09 [7110]~P107(f315(f315(f224(a893),f2(a893)),x71102))+P107(f315(f315(f224(a893),f38(a893,x71101,x71102)),x71102))
% 201.32/201.09 [7112]~P107(f315(f315(f224(a1),f2(a1)),x71122))+P107(f315(f315(f224(a1),f38(a1,x71121,x71122)),x71122))
% 201.32/201.09 [7189]~P111(x71891)+E(f315(f315(f3(f901(x71891,a891)),f315(f315(f297(x71891),x71892),f177(f901(x71891,a891)))),f315(f270(x71891),x71892)),f315(f315(f297(x71891),x71892),f177(f901(x71891,a891))))
% 201.32/201.09 [7264]~P45(x72641,x72642)+P54(x72641,f230(f901(x72641,a891)),f315(f250(f900(x72641,x72641)),f315(f245(x72641,x72641,a891),x72642)))
% 201.32/201.09 [7265]P107(f315(x72651,x72652))+P107(f315(f315(f317(f901(f900(a893,a893),a891)),f552(x72652,x72651)),a87))
% 201.32/201.09 [7310]E(f315(f315(f123(a893),f128(a893,f315(f290(a893,x73101),x73102))),f315(f315(f140(a893),x73102),f102(a893))),f128(a893,f315(f290(a893,x73101),f315(a101,x73102))))+~P107(f315(f315(f223(a893),x73101),x73102))
% 201.32/201.09 [7462]E(x74621,f2(a893))+~E(f315(f131(a893,a893,f73(a893),x74621),x74622),f2(a893))
% 201.32/201.09 [7487]~P107(f315(f315(f224(a1),f315(f315(f3(a1),x74871),x74872)),f2(a1)))+P107(f315(f315(f224(a1),x74871),x74872))
% 201.32/201.09 [7516]P39(x75161,x75162)+~P39(x75161,f315(f315(f277(x75161,x75161,x75161),x75162),x75162))
% 201.32/201.09 [7541]~P107(f315(f315(f223(a893),f315(a101,x75411)),x75412))+P107(f174(a891,a227,f315(f223(a893),x75411),x75412))
% 201.32/201.09 [7695]P26(a893,a893,f315(f315(f9(a893,a893,a893),f3(a893)),x76951),x76952)+P107(f315(f315(f317(a893),f561(x76951,x76952)),x76952))
% 201.32/201.09 [7753]E(f315(f315(f315(f58(a893,x77531,f73(a893)),f315(f18(a893,x77531),f71(a893))),f2(a893)),x77532),f315(f28(x77531),x77532))+~P107(f315(f54(x77531),x77532))
% 201.32/201.09 [7795]P26(a893,a893,f315(f315(f9(a893,a893,a893),f3(a893)),x77951),x77952)+~P107(f315(f315(f223(a893),x77951),f561(x77951,x77952)))
% 201.32/201.09 [7851]P39(x78511,x78512)+P107(f315(f315(f223(f901(x78511,a891)),f559(x78512,x78511)),f315(f273(x78511,x78511,x78512),f559(x78512,x78511))))
% 201.32/201.09 [7856]P61(x78561,x78562)+~P39(x78561,f315(f250(f900(x78561,x78561)),f315(f245(x78561,x78561,a891),x78562)))
% 201.32/201.09 [7857]P51(x78571,x78572)+~P40(x78571,f315(f250(f900(x78571,x78571)),f315(f245(x78571,x78571,a891),x78572)))
% 201.32/201.09 [7858]P52(x78581,x78582)+~P53(x78581,f315(f250(f900(x78581,x78581)),f315(f245(x78581,x78581,a891),x78582)))
% 201.32/201.09 [7925]P107(f315(f315(f223(a893),f315(a101,x79251)),x79252))+~P107(f174(a891,a227,f315(f223(a893),x79251),x79252))
% 201.32/201.09 [7982]P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x79821),x79822)),f295(a893,a305)))+~P107(f315(f315(f223(a893),x79821),x79822))
% 201.32/201.09 [8078]P45(x80781,x80782)+~P54(x80781,f230(f901(x80781,a891)),f315(f250(f900(x80781,x80781)),f315(f245(x80781,x80781,a891),x80782)))
% 201.32/201.09 [8133]~P107(f315(f126(x81331),x81332))+P107(f315(f126(f901(x81331,a891)),f315(f315(f143(f894(x81331),f901(x81331,a891)),f161(x81331)),f47(x81331,x81332))))
% 201.32/201.09 [8334]~P39(x83341,f315(f274(x83341,x83341),x83342))+P39(x83341,f315(f274(x83341,x83341),f315(f315(f277(x83341,x83341,x83341),x83342),f295(x83341,x83342))))
% 201.32/201.09 [8432]P27(x84321,a893,f800(x84322,x84321),x84322,f315(f290(a893,f2(a893)),f315(f28(x84321),x84322)))+~P107(f315(f54(x84321),x84322))
% 201.32/201.09 [8433]P27(a893,x84331,f801(x84332,x84331),f315(f290(a893,f2(a893)),f315(f28(x84331),x84332)),x84332)+~P107(f315(f54(x84331),x84332))
% 201.32/201.09 [8450]P27(a893,x84501,f802(x84502,x84501),f291(a893,f71(a893),f315(f28(x84501),x84502)),x84502)+~P107(f315(f54(x84501),x84502))
% 201.32/201.09 [8460]P107(f315(f54(f900(x84601,x84601)),f315(f315(f277(x84601,x84601,x84601),x84602),f295(x84601,x84602))))+~P107(f315(f54(f900(x84601,x84601)),x84602))
% 201.32/201.09 [8487]E(x84871,f2(a1))+P107(f315(f42(x84872,x84871),f315(f315(f240(a1,a1),f315(f315(f29(a1),x84872),x84871)),f38(a1,x84872,x84871))))
% 201.32/201.09 [8500]~P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x85001),x85002)),f295(a893,a305)))+P107(f315(f315(f223(a893),x85001),x85002))
% 201.32/201.09 [8517]~P85(x85171)+E(f315(f131(x85171,x85171,f315(f9(x85171,x85171,x85171),f73(x85171)),f2(x85171)),f315(f157(x85171),x85172)),f315(f131(x85171,x85171,f73(x85171),f2(x85171)),x85172))
% 201.32/201.09 [8688]~P110(x86881)+E(f315(f131(f894(x86881),x86881,f315(f9(x86881,f894(x86881),f894(x86881)),f137(x86881,x86881,f7(x86881))),f102(x86881)),x86882),f139(x86881,x86881,f7(x86881),x86882))
% 201.32/201.09 [8800]~P59(x88001,f315(f250(f900(x88001,x88001)),f315(f245(x88001,x88001,a891),x88002)))+P59(x88001,f315(f250(f900(x88001,x88001)),f315(f245(x88001,x88001,a891),f231(x88001,x88001,x88002))))
% 201.32/201.09 [8814]P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x88141),x88142)),f315(f315(f277(a893,a893,a893),a305),f295(a893,a305))))+~P107(f315(f315(f224(a893),x88141),x88142))
% 201.32/201.09 [8860]~P107(f315(f54(f900(x88601,x88601)),f315(f315(f277(x88601,x88601,x88601),x88602),f295(x88601,x88602))))+P107(f315(f54(f900(x88601,x88601)),x88602))
% 201.32/201.09 [8918]~P59(x89181,f315(f250(f900(x89181,x89181)),f315(f245(x89181,x89181,a891),f231(x89181,x89181,x89182))))+P59(x89181,f315(f250(f900(x89181,x89181)),f315(f245(x89181,x89181,a891),x89182)))
% 201.32/201.09 [9115]P59(x91151,x91152)+P107(f315(f315(f317(f900(x91151,x91151)),f315(f315(f240(x91151,x91151),f593(x91152,x91151)),f593(x91152,x91151))),f315(f315(f277(x91151,x91151,x91151),x91152),f295(x91151,x91152))))
% 201.32/201.09 [9116]P59(x91161,x91162)+P107(f315(f315(f317(f900(x91161,x91161)),f315(f315(f240(x91161,x91161),f594(x91162,x91161)),f594(x91162,x91161))),f315(f315(f277(x91161,x91161,x91161),x91162),f295(x91161,x91162))))
% 201.32/201.09 [9233]~P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x92331),x92332)),f315(f315(f277(a893,a893,a893),a305),f295(a893,a305))))+P107(f315(f315(f224(a893),x92331),x92332))
% 201.32/201.09 [5140]~P97(x51401)+E(f315(f315(f73(x51401),f315(f92(x51401),a76)),x51402),x51402)
% 201.32/201.09 [5170]~P98(x51701)+E(f315(f315(f99(x51701),f315(f72(x51701),x51702)),x51702),f230(x51701))
% 201.32/201.09 [5171]~P98(x51711)+E(f315(f315(f90(x51711),f315(f72(x51711),x51712)),x51712),f177(x51711))
% 201.32/201.09 [5172]~P69(x51721)+E(f315(f315(f73(x51721),f315(f72(x51721),x51722)),x51722),f2(x51721))
% 201.32/201.09 [5173]~P77(x51731)+E(f315(f315(f73(x51731),f315(f72(x51731),x51732)),x51732),f2(x51731))
% 201.32/201.09 [5207]~P97(x52071)+E(f315(f315(f74(x52071),f315(f92(x52071),a86)),x52072),f315(f72(x52071),x52072))
% 201.32/201.09 [5365]~P115(x53651)+E(f315(f315(f74(x53651),f315(f72(x53651),f71(x53651))),x53652),f315(f72(x53651),x53652))
% 201.32/201.09 [5410]E(f315(f69(a1),x54101),f71(a1))+~E(f315(f69(a1),f315(f315(f74(a1),x54101),x54102)),f71(a1))
% 201.32/201.09 [5502]~P97(x55021)+E(f315(f315(f73(x55021),f71(x55021)),f315(f92(x55021),x55022)),f315(f92(x55021),f315(f315(f3(a1),x55022),a86)))
% 201.32/201.09 [5556]~P80(x55561)+E(f12(x55561,f315(f315(f297(x55561),x55562),f177(f901(x55561,a891)))),x55562)
% 201.32/201.09 [5557]~P80(x55571)+E(f13(x55571,f315(f315(f297(x55571),x55572),f177(f901(x55571,a891)))),x55572)
% 201.32/201.09 [5558]~P5(x55581)+E(f30(x55581,f315(f315(f297(x55581),x55582),f177(f901(x55581,a891)))),x55582)
% 201.32/201.09 [5559]~P110(x55591)+E(f16(x55591,f315(f315(f297(x55591),x55592),f177(f901(x55591,a891)))),x55592)
% 201.32/201.09 [5560]~P5(x55601)+E(f31(x55601,f315(f315(f297(x55601),x55602),f177(f901(x55601,a891)))),x55602)
% 201.32/201.09 [5561]~P110(x55611)+E(f17(x55611,f315(f315(f297(x55611),x55612),f177(f901(x55611,a891)))),x55612)
% 201.32/201.09 [5583]E(f315(f315(f73(a893),x55831),f315(f315(f3(a893),x55832),x55831)),x55832)+P107(f315(f315(f224(a893),x55832),x55831))
% 201.32/201.09 [5622]E(x56221,f102(x56222))+P107(f315(f315(f224(a893),f2(a893)),f315(f178(f894(x56222)),x56221)))
% 201.32/201.09 [5748]~P110(x57481)+E(f14(x57481,f221(x57481),f315(f315(f297(x57481),x57482),f177(f901(x57481,a891)))),x57482)
% 201.32/201.09 [5749]~P110(x57491)+E(f15(x57491,f222(x57491),f315(f315(f297(x57491),x57492),f177(f901(x57491,a891)))),x57492)
% 201.32/201.09 [5810]E(f315(f315(f3(a893),x58101),f315(f315(f3(a893),x58101),x58102)),x58102)+~P107(f315(f315(f223(a893),x58102),x58101))
% 201.32/201.09 [5811]E(f315(f315(f73(a893),x58111),f315(f315(f3(a893),x58112),x58111)),x58112)+~P107(f315(f315(f223(a893),x58111),x58112))
% 201.32/201.09 [5833]E(f38(a893,f315(f315(f3(a893),x58331),x58332),x58332),f38(a893,x58331,x58332))+P107(f315(f315(f224(a893),x58331),x58332))
% 201.32/201.09 [5844]E(f315(f72(a1),f315(f315(f29(a1),x58441),f315(f72(a1),x58442))),f281(x58441,x58442))+P107(f315(f315(f223(a1),f2(a1)),x58442))
% 201.32/201.09 [5846]~E(x58462,f2(a893))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f232(a893),x58461),x58462)))
% 201.32/201.09 [5909]~P97(x59091)+E(f315(f315(f73(x59091),f315(f72(x59091),f71(x59091))),f315(f92(x59091),x59092)),f315(f92(x59091),f315(f315(f73(a1),x59092),a86)))
% 201.32/201.09 [5911]E(f315(f315(f232(a893),f315(f92(a893),x59111)),x59112),f315(f315(f232(a893),f2(a893)),x59112))+~P107(f315(a182,f315(f92(a1),x59111)))
% 201.32/201.09 [6018]E(f315(f130(a893),f128(a893,f315(f290(a893,x60181),x60182))),x60181)+~P107(f315(f315(f224(a893),x60181),x60182))
% 201.32/201.09 [6034]E(f315(f315(f74(a893),f315(f92(a893),x60341)),f315(f92(a893),x60342)),f315(f92(a893),f315(f315(f74(a1),x60341),x60342)))+P107(f315(f315(f224(a1),x60341),a76))
% 201.32/201.09 [6040]~P128(x60401)+P107(f315(f315(f223(x60401),f2(x60401)),f315(f315(f74(x60401),x60402),x60402)))
% 201.32/201.09 [6052]E(f315(f315(f3(a893),f315(a101,x60521)),x60522),f315(a101,f315(f315(f3(a893),x60521),x60522)))+~P107(f315(f315(f223(a893),x60522),x60521))
% 201.32/201.09 [6056]E(f38(a893,f315(f315(f3(a893),x60561),x60562),x60562),f38(a893,x60561,x60562))+~P107(f315(f315(f223(a893),x60562),x60561))
% 201.32/201.09 [6110]E(f315(f315(f232(a893),f315(a93,x61101)),x61102),f315(a93,f315(f315(f232(a1),x61101),x61102)))+~P107(f315(f315(f223(a1),f2(a1)),x61101))
% 201.32/201.09 [6128]P107(f315(f126(x61281),x61282))+P107(f315(f315(f224(a893),f644(x61282,x61281)),f315(f178(f894(x61281)),x61282)))
% 201.32/201.09 [6129]P107(f315(f126(x61291),x61292))+P107(f315(f315(f224(a893),f648(x61292,x61291)),f315(f178(f894(x61291)),x61292)))
% 201.32/201.09 [6143]~E(x61431,f102(x61432))+~P107(f315(f315(f224(a893),f2(a893)),f315(f178(f894(x61432)),x61431)))
% 201.32/201.09 [6154]E(f133(a893,f128(a893,f315(f290(a893,x61541),x61542))),f315(f315(f3(a893),x61542),f71(a893)))+~P107(f315(f315(f224(a893),x61541),x61542))
% 201.32/201.09 [6157]E(f315(f315(f73(a1),x61571),f315(f89(a1),f315(a101,f330(x61572,x61571)))),x61572)+~P107(f315(f315(f224(a1),x61571),x61572))
% 201.32/201.09 [6164]E(x61641,f2(a893))+E(f315(f315(f74(a893),x61642),f315(f315(f232(a893),x61642),f315(f315(f3(a893),x61641),f71(a893)))),f315(f315(f232(a893),x61642),x61641))
% 201.32/201.09 [6193]E(f315(f315(f74(a893),f315(a93,x61931)),f315(a93,x61932)),f315(a93,f315(f315(f74(a1),x61931),x61932)))+~P107(f315(f315(f223(a1),f2(a1)),x61931))
% 201.32/201.09 [6194]E(f315(f315(f29(a893),f315(a93,x61941)),f315(a93,x61942)),f315(a93,f315(f315(f29(a1),x61941),x61942)))+~P107(f315(f315(f223(a1),f2(a1)),x61941))
% 201.32/201.09 [6209]~P113(x62091)+E(f315(f315(f73(x62091),x62092),x62092),f315(f315(f74(x62091),f315(f315(f73(x62091),f71(x62091)),f71(x62091))),x62092))
% 201.32/201.09 [6232]E(f315(f315(f3(a1),f315(f89(a1),x62321)),f315(f89(a1),x62322)),f315(f89(a1),f315(f315(f3(a893),x62321),x62322)))+~P107(f315(f315(f223(a893),x62322),x62321))
% 201.32/201.09 [6234]E(f315(f315(f240(a1,a1),f315(f92(a1),a86)),f315(f315(f73(a1),x62341),x62342)),f43(x62341,x62342))+~P107(f315(f315(f223(a1),x62342),f2(a1)))
% 201.32/201.09 [6268]E(f168(x62681,x62682),f102(f894(x62681)))+P107(f315(f315(f317(f894(x62681)),f643(x62682,x62681)),f315(f161(f894(x62681)),x62682)))
% 201.32/201.09 [6278]E(f105(a1,f315(f118(a1),x62781),f117(x62782,f315(f315(f73(a1),x62781),f71(a1)))),f117(x62782,x62781))+P107(f315(f315(f224(a1),x62782),x62781))
% 201.32/201.09 [6332]~P107(f315(f315(f275(a893),x63321),x63322))+P107(f315(f315(f275(a893),x63321),f315(f315(f73(a893),x63322),x63321)))
% 201.32/201.09 [6354]E(f315(f315(f140(a1),x63541),f167(f315(f315(f73(a1),x63541),f71(a1)),x63542)),f167(x63541,x63542))+~P107(f315(f315(f223(a1),x63541),x63542))
% 201.32/201.09 [6396]~P107(f315(f315(f224(a893),x63962),x63961))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f3(a893),x63961),x63962)))
% 201.32/201.09 [6429]~P107(f315(f315(f224(a893),x64291),f315(a93,x64292)))+P107(f315(f315(f224(a1),f315(f89(a1),x64291)),x64292))
% 201.32/201.09 [6458]~P110(x64581)+E(f315(f315(f99(f901(x64581,a891)),f315(f270(x64581),x64582)),f315(f315(f297(x64581),x64582),f177(f901(x64581,a891)))),f315(f289(x64581),x64582))
% 201.32/201.09 [6459]~P107(f315(f315(f223(a1),f2(a1)),x64591))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f232(a1),x64591),x64592)))
% 201.32/201.09 [6462]~P107(f315(f315(f224(a893),f2(a893)),x64621))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f232(a893),x64621),x64622)))
% 201.32/201.09 [6489]~E(f315(x64891,f2(a893)),f2(a893))+E(f315(f315(f8(a893,a893),x64891),f291(a893,f315(a101,f2(a893)),x64892)),f315(f315(f8(a893,a893),x64891),f291(a893,f2(a893),x64892)))
% 201.32/201.09 [6555]~P97(x65551)+E(f315(f315(f74(x65551),f315(f315(f73(x65551),f71(x65551)),f71(x65551))),f315(f92(x65551),x65552)),f315(f92(x65551),f315(f315(f73(a1),x65552),x65552)))
% 201.32/201.09 [6574]E(f315(f315(f297(a1),x65741),f291(a1,f315(f315(f73(a1),x65741),f71(a1)),x65742)),f291(a1,x65741,x65742))+P107(f315(f315(f224(a1),x65742),x65741))
% 201.32/201.09 [6575]P107(f315(f315(f224(a893),x65751),f315(a93,x65752)))+~P107(f315(f315(f224(a1),f315(f89(a1),x65751)),x65752))
% 201.32/201.09 [6675]P107(f315(f315(f275(a893),x66751),x66752))+~P107(f315(f315(f275(a893),x66751),f315(f315(f73(a893),x66752),x66751)))
% 201.32/201.09 [6680]E(f315(a93,f315(f315(f29(a1),f315(f92(a1),x66801)),f315(f92(a1),x66802))),f315(f315(f29(a893),f315(f92(a893),x66801)),f315(f92(a893),x66802)))+P107(f315(a182,f315(f92(a1),x66801)))
% 201.32/201.09 [6741]P107(f315(f315(f224(a893),x67411),x67412))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f3(a893),x67412),x67411)))
% 201.32/201.09 [6784]P107(f315(f315(f224(a893),f2(a893)),x67841))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f74(a893),x67842),x67841)))
% 201.32/201.09 [6785]P107(f315(f315(f224(a893),f2(a893)),x67851))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f74(a893),x67851),x67852)))
% 201.32/201.09 [6804]~P107(f315(f315(f223(a1),x68041),f2(a1)))+E(f315(f315(f74(a893),f315(a93,f315(f72(a1),x68041))),f315(a93,f315(f72(a1),x68042))),f315(a93,f315(f315(f74(a1),x68041),x68042)))
% 201.32/201.09 [6865]~E(x68652,f177(f901(x68651,a891)))+P107(f315(f315(f223(f901(x68651,a891)),x68652),f315(f72(f901(x68651,a891)),x68652)))
% 201.32/201.09 [6927]~P97(x69271)+E(f315(f315(f73(x69271),f315(f315(f73(x69271),f2(x69271)),f315(f92(x69271),x69272))),f315(f92(x69271),x69272)),f315(f92(x69271),f315(f315(f73(a1),x69272),x69272)))
% 201.32/201.09 [6983]~P107(f315(f315(f224(a1),x69831),x69832))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x69831),f71(a1))),x69832))
% 201.32/201.09 [7052]E(x70521,f2(a893))+~P107(f315(f315(f223(a1),f315(f89(a1),x70522)),f315(f72(a1),f315(f89(a1),x70521))))
% 201.32/201.09 [7053]E(x70531,f2(a893))+~P107(f315(f315(f223(a1),f315(f89(a1),x70531)),f315(f72(a1),f315(f89(a1),x70532))))
% 201.32/201.09 [7157]E(f315(f315(f240(a1,a1),f315(f92(a1),a86)),f315(f315(f73(a1),x71571),x71572)),f43(x71571,x71572))+~P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),x71571),x71572)))
% 201.32/201.09 [7201]~P28(x72011,x72012)+P39(x72011,f315(f239(f901(f900(x72011,x72011),a891),f901(f900(x72011,x72011),a891)),x72012))
% 201.32/201.09 [7220]~P107(f315(f315(f223(a893),f315(a101,f2(a893))),x72201))+P107(f315(f315(f223(a893),f315(a101,f2(a893))),f315(f315(f232(a893),x72201),x72202)))
% 201.32/201.09 [7400]~P107(f315(f315(f223(a1),x74001),x74002))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x74001),x74001)),f315(f315(f73(a1),x74002),x74002)))
% 201.32/201.09 [7405]~P107(f315(f315(f224(a1),x74051),x74052))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x74051),x74051)),f315(f315(f73(a1),x74052),x74052)))
% 201.32/201.09 [7463]~P107(f315(f315(f224(a893),f2(a893)),x74631))+P107(f315(f315(f224(a893),f315(f315(f3(a893),x74631),f315(a101,x74632))),x74631))
% 201.32/201.09 [7498]P107(f315(f315(f223(a893),f315(a101,f2(a893))),x74981))+~P107(f315(f315(f223(a893),f315(a101,f2(a893))),f315(f315(f74(a893),x74982),x74981)))
% 201.32/201.09 [7499]P107(f315(f315(f223(a893),f315(a101,f2(a893))),x74991))+~P107(f315(f315(f223(a893),f315(a101,f2(a893))),f315(f315(f74(a893),x74991),x74992)))
% 201.32/201.09 [7503]P107(f315(f315(f223(a893),f315(f315(f153(a893),x75031),x75032)),f315(f154(a893),x75031)))+~P107(f315(f315(f224(a893),x75032),f315(f178(f894(a893)),x75031)))
% 201.32/201.09 [7540]P107(f315(f315(f224(a1),x75401),x75402))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x75401),f71(a1))),x75402))
% 201.32/201.09 [7582]P107(f315(f54(x75821),f230(f901(x75821,a891))))+~P107(f315(f54(f901(x75822,x75821)),f230(f901(f901(x75822,x75821),a891))))
% 201.32/201.09 [7583]P107(f315(f54(x75831),f230(f901(x75831,a891))))+~P107(f315(f54(f899(x75832,x75831)),f230(f901(f899(x75832,x75831),a891))))
% 201.32/201.09 [7584]P107(f315(f54(x75841),f230(f901(x75841,a891))))+~P107(f315(f54(f899(x75841,x75842)),f230(f901(f899(x75841,x75842),a891))))
% 201.32/201.09 [7622]E(x76221,f177(f901(x76222,a891)))+~P107(f315(f315(f223(f901(x76222,a891)),x76221),f315(f72(f901(x76222,a891)),x76221)))
% 201.32/201.09 [7763]E(f315(f131(f894(x77631),f894(x77631),f123(x77631),f102(x77631)),x77632),f102(x77631))+P107(f315(f315(f317(f894(x77631)),f677(x77632,x77631)),f315(f161(f894(x77631)),x77632)))
% 201.32/201.09 [7764]E(f315(f131(f894(x77641),f894(x77641),f123(x77641),f102(x77641)),x77642),f102(x77641))+P107(f315(f315(f317(f894(x77641)),f680(x77642,x77641)),f315(f161(f894(x77641)),x77642)))
% 201.32/201.09 [8000]P107(f315(f315(f223(a1),x80001),x80002))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x80001),x80001)),f315(f315(f73(a1),x80002),x80002)))
% 201.32/201.09 [8005]P107(f315(f315(f224(a1),x80051),x80052))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x80051),x80051)),f315(f315(f73(a1),x80052),x80052)))
% 201.32/201.09 [8098]~P113(x80981)+E(f315(f315(f74(x80981),f315(f315(f73(x80981),f71(x80981)),f71(x80981))),f315(f315(f8(a893,x80981),f89(x80981)),f291(a893,f71(a893),x80982))),f315(f315(f74(x80981),f315(f89(x80981),x80982)),f315(f315(f73(x80981),f315(f89(x80981),x80982)),f71(x80981))))
% 201.32/201.09 [8147]P107(f315(f315(f317(a893),x81471),x81472))+~P107(f315(f315(f317(a1),f315(f89(a1),x81471)),f315(f298(a893,a1,f89(a1)),x81472)))
% 201.32/201.09 [8306]~P107(f315(f54(x83061),x83062))+E(f315(f298(a893,x83061,f532(x83062,x83061)),f315(f250(a893),f315(f315(f9(a893,a893,a891),f224(a893)),f533(x83062,x83061)))),x83062)
% 201.32/201.09 [8585]P55(x85851,x85852)+P107(f315(f315(f317(f900(x85851,x85851)),f315(f315(f240(x85851,x85851),f460(x85852,x85851)),f460(x85852,x85851))),x85852))
% 201.32/201.09 [8586]P40(x85861,x85862)+P107(f315(f315(f317(f900(x85861,x85861)),f315(f315(f240(x85861,x85861),f771(x85862,x85861)),f776(x85862,x85861))),x85862))
% 201.32/201.09 [8587]P40(x85871,x85872)+P107(f315(f315(f317(f900(x85871,x85871)),f315(f315(f240(x85871,x85871),f776(x85872,x85871)),f777(x85872,x85871))),x85872))
% 201.32/201.09 [8588]P41(x85881,x85882)+P107(f315(f315(f317(f900(x85881,x85881)),f315(f315(f240(x85881,x85881),f684(x85882,x85881)),f683(x85882,x85881))),x85882))
% 201.32/201.09 [8589]P41(x85891,x85892)+P107(f315(f315(f317(f900(x85891,x85891)),f315(f315(f240(x85891,x85891),f683(x85892,x85891)),f684(x85892,x85891))),x85892))
% 201.32/201.09 [8590]P53(x85901,x85902)+P107(f315(f315(f317(f900(x85901,x85901)),f315(f315(f240(x85901,x85901),f779(x85902,x85901)),f780(x85902,x85901))),x85902))
% 201.32/201.09 [8731]~P97(x87311)+E(f315(f315(f3(x87311),f71(x87311)),f315(f92(x87311),x87312)),f315(f92(x87311),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f72(a1),x87312))))
% 201.32/201.09 [8857]~P107(f315(f315(f224(f901(a893,a891)),x88571),x88572))+P107(f315(f315(f224(f901(a1,a891)),f315(f298(a893,a1,f89(a1)),x88571)),f315(f298(a893,a1,f89(a1)),x88572)))
% 201.32/201.09 [8891]~P107(f315(f315(f224(a1),x88911),x88912))+P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x88911),x88911)),a86)),f315(f315(f73(a1),x88912),x88912)))
% 201.32/201.09 [8893]~P107(f315(f315(f224(a1),x88931),x88932))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x88931),x88931)),a86)),f315(f315(f73(a1),x88932),x88932)))
% 201.32/201.09 [8966]~P107(f315(f315(f317(a893),x89661),f315(f161(a893),x89662)))+P107(f315(f315(f223(a893),x89661),f315(f131(a893,a893,f73(a893),f2(a893)),x89662)))
% 201.32/201.09 [9055]P48(x90551,x90552)+~P107(f315(f315(f317(f900(x90551,x90551)),f315(f315(f240(x90551,x90551),f369(x90552,x90551)),f369(x90552,x90551))),x90552))
% 201.32/201.09 [9056]P40(x90561,x90562)+~P107(f315(f315(f317(f900(x90561,x90561)),f315(f315(f240(x90561,x90561),f771(x90562,x90561)),f777(x90562,x90561))),x90562))
% 201.32/201.09 [9057]P53(x90571,x90572)+~P107(f315(f315(f317(f900(x90571,x90571)),f315(f315(f240(x90571,x90571),f780(x90572,x90571)),f779(x90572,x90571))),x90572))
% 201.32/201.09 [9196]~P107(f315(f315(f223(f901(a1,a891)),f315(f298(a893,a1,f89(a1)),x91961)),f315(f298(a893,a1,f89(a1)),x91962)))+P107(f315(f315(f223(f901(a893,a891)),x91961),x91962))
% 201.32/201.09 [9197]~P107(f315(f315(f224(f901(a1,a891)),f315(f298(a893,a1,f89(a1)),x91971)),f315(f298(a893,a1,f89(a1)),x91972)))+P107(f315(f315(f224(f901(a893,a891)),x91971),x91972))
% 201.32/201.09 [9282]P107(f315(f315(f224(a1),x92821),x92822))+~P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92821),x92821)),a86)),f315(f315(f73(a1),x92822),x92822)))
% 201.32/201.09 [9284]P107(f315(f315(f224(a1),x92841),x92842))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x92841),x92841)),a86)),f315(f315(f73(a1),x92842),x92842)))
% 201.32/201.09 [10179]~P105(x101791)+E(f105(f894(x101791),f315(f118(f894(x101791)),f102(x101791)),f315(f315(f315(f85(f895(f894(x101791))),f315(f315(f224(a1),f2(a1)),x101792)),f315(f107(f900(x101791,f894(x101791)),f894(x101791),f120(x101791,f894(x101791),f121(x101791,f315(f315(f3(a1),x101792),f71(a1))),f121(f894(x101791),f315(f315(f3(a1),x101792),f71(a1))))),f315(f245(x101791,f894(x101791),f895(f894(x101791))),f315(f315(f10(f901(f894(x101791),f894(x101791)),f901(f894(x101791),f895(f894(x101791))),x101791),f315(f10(f894(x101791),f895(f894(x101791)),f894(x101791)),f118(f894(x101791)))),f140(x101791))))),f104(f894(x101791)))),f121(f894(x101791),x101792))
% 201.32/201.09 [10201]~P107(f315(f54(x102011),x102012))+E(f315(f178(f894(x102011)),f83(f894(x102011),f315(f315(f20(f894(x102011),a891,a891),f315(f315(f10(a891,f901(a891,a891),f894(x102011)),a313),f315(f315(f9(f894(x102011),f901(x102011,a891),a891),f315(f315(f10(f901(x102011,a891),f901(f901(x102011,a891),a891),f894(x102011)),a312),f161(x102011))),x102012))),f126(x102011)))),f203(x102011,x102012))
% 201.32/201.09 [6153]E(f315(f315(f73(a893),f315(f315(f3(a893),x61531),x61532)),x61532),x61531)+~P107(f315(f315(f223(a893),x61532),x61531))
% 201.32/201.09 [6228]E(f315(f315(f29(a893),f315(f315(f74(a893),x62281),x62282)),x62282),x62281)+~P107(f315(f315(f224(a893),f2(a893)),x62282))
% 201.32/201.09 [6229]E(f315(f315(f29(a893),f315(f315(f74(a893),x62291),x62292)),x62291),x62292)+~P107(f315(f315(f224(a893),f2(a893)),x62291))
% 201.32/201.09 [6233]~P76(x62331)+E(f315(f315(f8(a893,x62331),f315(f153(x62331),x62332)),f315(f290(a893,f2(a893)),f315(f178(f894(x62331)),x62332))),f315(f154(x62331),x62332))
% 201.32/201.09 [6346]E(f38(a893,f315(a101,f315(f315(f74(a893),x63461),x63462)),x63461),f71(a893))+~P107(f315(f315(f224(a893),f71(a893)),x63461))
% 201.32/201.09 [6352]E(f315(a101,f315(f315(f73(a893),f315(f92(a893),x63521)),x63522)),f315(f315(f73(a893),f71(a893)),x63522))+~P107(f315(a182,f315(f92(a1),x63521)))
% 201.32/201.09 [6381]E(f315(a93,f315(f315(f232(a1),f315(f92(a1),x63811)),x63812)),f315(f315(f232(a893),f315(f92(a893),x63811)),x63812))+P107(f315(a182,f315(f92(a1),x63811)))
% 201.32/201.09 [6629]E(f315(f315(f3(a893),x66291),f315(f92(a893),f315(f315(f73(a1),x66292),a86))),f315(f315(f3(a893),f315(a101,x66291)),f315(f92(a893),x66292)))+~P107(f315(f315(f224(a1),a76),x66292))
% 201.32/201.09 [6711]E(x67111,f2(a893))+E(f315(a101,f315(f315(f73(a893),f315(f315(f3(a893),x67111),f71(a893))),x67112)),f315(f315(f73(a893),x67111),x67112))
% 201.32/201.09 [6754]E(x67541,f2(a1))+P107(f315(f315(f224(a1),f2(a1)),f315(f315(f232(a1),f315(f69(a1),x67541)),x67542)))
% 201.32/201.09 [6769]~E(x67692,f2(a893))+P107(f315(f315(f224(a1),f2(a1)),f315(f315(f232(a1),f315(f69(a1),x67691)),x67692)))
% 201.32/201.09 [6807]E(x68071,f2(a893))+E(f315(f315(f73(a893),x68072),f315(f315(f74(a893),f315(f315(f3(a893),x68071),f71(a893))),x68072)),f315(f315(f74(a893),x68071),x68072))
% 201.32/201.09 [6858]~P107(f315(f315(f223(a1),x68581),x68582))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x68581),a86)),x68582))
% 201.32/201.09 [6987]E(f315(f315(f140(a893),x69871),f128(a893,f315(f290(a893,f315(a101,x69871)),x69872))),f128(a893,f315(f290(a893,x69871),x69872)))+~P107(f315(f315(f224(a893),x69871),x69872))
% 201.32/201.09 [7192]E(x71921,x71922)+~E(f315(f315(f3(a1),f315(f315(f73(a1),x71921),x71921)),a86),f315(f315(f3(a1),f315(f315(f73(a1),x71922),x71922)),a86))
% 201.32/201.09 [7195]E(x71951,f102(x71952))+E(f254(x71952,f315(f315(f143(x71952,f900(a88,x71952)),f315(f240(a88,x71952),f71(a88))),x71951)),f263(x71952,x71951))
% 201.32/201.09 [7433]P107(f315(f315(f223(a1),x74331),x74332))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x74331),a86)),x74332))
% 201.32/201.09 [7904]~P107(f315(f315(f224(a893),x79041),x79042))+P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x79041),x79042)),a228))
% 201.32/201.09 [8124]~P107(f315(f315(f224(a88),f2(a88)),x81241))+P107(f315(f315(f224(a88),f315(f239(a88,f900(a88,a88)),f315(f255(x81241),x81242))),x81241))
% 201.32/201.09 [8387]~P40(x83871,x83872)+P40(x83871,f315(f315(f99(f901(f900(x83871,x83871),a891)),x83872),f295(x83871,f177(f901(f900(x83871,x83871),a891)))))
% 201.32/201.09 [8388]~P41(x83881,x83882)+P41(x83881,f315(f315(f99(f901(f900(x83881,x83881),a891)),x83882),f295(x83881,f177(f901(f900(x83881,x83881),a891)))))
% 201.32/201.09 [8436]~P88(x84361)+P107(f315(f315(f223(x84361),f315(f69(x84361),f315(f154(x84361),x84362))),f315(f154(x84361),f315(f315(f143(x84361,x84361),f69(x84361)),x84362))))
% 201.32/201.09 [8462]P107(f315(f315(f224(a893),x84621),x84622))+~P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),x84621),x84622)),a228))
% 201.32/201.09 [8609]E(f315(f315(f240(x86091,x86091),f601(x86092,x86091)),f601(x86092,x86091)),x86092)+~P107(f315(f315(f317(f900(x86091,x86091)),x86092),f295(x86091,f177(f901(f900(x86091,x86091),a891)))))
% 201.32/201.09 [8653]E(f315(f290(a893,x86531),f315(f315(f73(a893),x86531),f315(f28(a893),x86532))),x86532)+~P107(f315(f315(f223(f901(a893,a891)),x86532),f315(f290(a893,x86531),f315(f315(f73(a893),x86531),f315(f28(a893),x86532)))))
% 201.32/201.09 [8884]P41(x88841,x88842)+~P41(x88841,f315(f315(f99(f901(f900(x88841,x88841),a891)),x88842),f295(x88841,f177(f901(f900(x88841,x88841),a891)))))
% 201.32/201.09 [9010]E(f315(f315(f29(a1),f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x90101),x90101)),a86))),f315(f92(a1),f315(f315(f73(a1),x90102),x90102))),f315(f315(f29(a1),f315(f92(a1),x90101)),f315(f92(a1),x90102)))+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x90102)))
% 201.32/201.09 [9100]~P40(x91001,x91002)+P107(f315(f315(f223(f901(f900(x91001,x91001),a891)),f315(f315(f277(x91001,x91001,x91001),x91002),x91002)),x91002))
% 201.32/201.09 [9126]E(f166(f894(x91261),f315(f315(f10(a891,a891,f894(x91261)),a310),f315(f315(f9(f894(x91261),f894(x91261),a891),a312),f102(x91261))),x91262),f168(x91261,f168(x91261,x91262)))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x91261),a893),f178(f894(x91261))),x91262)))
% 201.32/201.09 [9129]E(f315(f315(f29(a1),f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x91291),x91291)),a86))),f315(f92(a1),f315(f315(f73(a1),x91292),x91292))),f315(f315(f29(a1),f315(f315(f73(a1),f315(f92(a1),x91291)),f71(a1))),f315(f92(a1),x91292)))+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x91292)))
% 201.32/201.09 [9977]P107(f315(a182,x99772))+E(f315(f315(f79(a1,a893),f315(f315(f3(a1),x99771),x99772)),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f2(a893))),a93)),f315(f315(f3(a893),f315(a93,x99771)),f315(a93,x99772)))
% 201.32/201.09 [9985]E(f315(f315(f79(a1,a893),f315(f92(a1),f315(f315(f73(a1),x99851),f315(f72(a1),x99852)))),f315(f315(f20(a1,a893,a893),f315(f315(f9(a1,a893,f901(a893,a893)),f315(f315(f10(a891,f901(a893,f901(a893,a893)),a1),f85(a893)),a182)),f2(a893))),a93)),f315(f315(f3(a893),f315(f92(a893),x99851)),f315(f92(a893),x99852)))+P107(f315(f315(f224(a1),x99852),a76))
% 201.32/201.09 [9986]~P28(x99861,x99862)+P107(f315(f315(f223(f901(f900(x99861,x99861),a891)),f315(f315(f277(x99861,x99861,x99861),f315(f239(f901(f900(x99861,x99861),a891),f901(f900(x99861,x99861),a891)),x99862)),f315(f244(f901(f900(x99861,x99861),a891),f901(f900(x99861,x99861),a891)),x99862))),f315(f239(f901(f900(x99861,x99861),a891),f901(f900(x99861,x99861),a891)),x99862)))
% 201.32/201.09 [10041]~E(f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,f901(a893,a891),a891),f317(a893)),x100411))),f315(f315(f9(a893,a893,a891),f224(a893)),f315(a101,x100412))))),f2(a893))+~P107(f315(f315(f317(a893),f2(a893)),x100411))
% 201.32/201.09 [10052]E(f287(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x100521,x100522),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x100522),x100521))
% 201.32/201.09 [10057]E(f288(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x100571,x100572),f177(f901(a893,a891)))+P107(f315(f315(f275(a893),x100571),x100572))
% 201.32/201.09 [10058]E(f285(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x100581,x100582),f177(f901(a893,a891)))+P107(f315(f315(f275(a893),x100581),x100582))
% 201.32/201.09 [10062]E(f288(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x100621,x100622),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x100622),x100621))
% 201.32/201.09 [10064]E(f285(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x100641,x100642),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x100642),x100641))
% 201.32/201.09 [10107]E(f38(a1,f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x101071),x101071)),a86)),f315(f92(a1),f315(f315(f73(a1),x101072),x101072))),f315(f315(f73(a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a1,f315(f92(a1),x101071),f315(f92(a1),x101072)))),f71(a1)))+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x101072)))
% 201.32/201.09 [10116]E(f38(a1,f315(f92(a1),f315(f315(f3(a1),f315(f315(f73(a1),x101161),x101161)),a86)),f315(f92(a1),f315(f315(f73(a1),x101162),x101162))),f315(f315(f3(a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a1,f315(f315(f73(a1),f315(f92(a1),x101161)),f71(a1)),f315(f92(a1),x101162)))),f71(a1)))+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x101162)))
% 201.32/201.09 [10170]~P5(x101701)+E(f30(x101701,f315(f250(x101701),f315(f315(f10(f901(x101701,a891),a891,x101701),f81(x101701)),f315(f315(f10(f901(x101701,a891),f901(x101701,a891),x101701),f315(f20(x101701,a891,a891),f315(f315(f10(a891,f901(a891,a891),x101701),a318),f315(f315(f9(x101701,f901(x101701,a891),a891),f317(x101701)),x101702)))),f223(x101701))))),f31(x101701,x101702))
% 201.32/201.09 [10194]~P39(x101941,x101942)+P61(x101941,f315(f315(f9(x101941,f901(f900(x101941,x101941),a891),f901(x101941,a891)),f315(f315(f10(f901(x101941,f901(f901(f900(x101941,x101941),a891),a891)),f901(f901(f900(x101941,x101941),a891),f901(x101941,a891)),x101941),f9(x101941,f901(f900(x101941,x101941),a891),a891)),f315(f315(f10(f901(x101941,f900(x101941,x101941)),f901(x101941,f901(f901(f900(x101941,x101941),a891),a891)),x101941),f315(f10(f900(x101941,x101941),f901(f901(f900(x101941,x101941),a891),a891),x101941),f317(f900(x101941,x101941)))),f240(x101941,x101941)))),x101942))
% 201.32/201.09 [10195]~P8(x101951,f230(f901(x101951,a891)),x101952)+P7(x101951,f315(f315(f9(x101951,f901(f900(x101951,x101951),a891),f901(x101951,a891)),f315(f315(f10(f901(x101951,f901(f901(f900(x101951,x101951),a891),a891)),f901(f901(f900(x101951,x101951),a891),f901(x101951,a891)),x101951),f9(x101951,f901(f900(x101951,x101951),a891),a891)),f315(f315(f10(f901(x101951,f900(x101951,x101951)),f901(x101951,f901(f901(f900(x101951,x101951),a891),a891)),x101951),f315(f10(f900(x101951,x101951),f901(f901(f900(x101951,x101951),a891),a891),x101951),f317(f900(x101951,x101951)))),f240(x101951,x101951)))),x101952))
% 201.32/201.09 [10238]P39(x102381,x102382)+~P61(x102381,f315(f315(f9(x102381,f901(f900(x102381,x102381),a891),f901(x102381,a891)),f315(f315(f10(f901(x102381,f901(f901(f900(x102381,x102381),a891),a891)),f901(f901(f900(x102381,x102381),a891),f901(x102381,a891)),x102381),f9(x102381,f901(f900(x102381,x102381),a891),a891)),f315(f315(f10(f901(x102381,f900(x102381,x102381)),f901(x102381,f901(f901(f900(x102381,x102381),a891),a891)),x102381),f315(f10(f900(x102381,x102381),f901(f901(f900(x102381,x102381),a891),a891),x102381),f317(f900(x102381,x102381)))),f240(x102381,x102381)))),x102382))
% 201.32/201.09 [10239]P8(x102391,f230(f901(x102391,a891)),x102392)+~P7(x102391,f315(f315(f9(x102391,f901(f900(x102391,x102391),a891),f901(x102391,a891)),f315(f315(f10(f901(x102391,f901(f901(f900(x102391,x102391),a891),a891)),f901(f901(f900(x102391,x102391),a891),f901(x102391,a891)),x102391),f9(x102391,f901(f900(x102391,x102391),a891),a891)),f315(f315(f10(f901(x102391,f900(x102391,x102391)),f901(x102391,f901(f901(f900(x102391,x102391),a891),a891)),x102391),f315(f10(f900(x102391,x102391),f901(f901(f900(x102391,x102391),a891),a891),x102391),f317(f900(x102391,x102391)))),f240(x102391,x102391)))),x102392))
% 201.32/201.09 [7380]E(f315(f315(f73(a893),f315(f92(a893),f315(f315(f3(a1),x73801),a86))),x73802),f315(a101,f315(f315(f73(a893),f315(f92(a893),x73801)),x73802)))+P107(f315(a182,f315(f92(a1),x73801)))
% 201.32/201.09 [7822]~P97(x78221)+E(f315(f315(f73(x78221),f315(f315(f73(x78221),f71(x78221)),f315(f92(x78221),x78222))),f315(f92(x78221),x78222)),f315(f92(x78221),f315(f315(f3(a1),f315(f315(f73(a1),x78222),x78222)),a86)))
% 201.32/201.09 [8464]~P107(f315(f315(f223(a1),x84641),x84642))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x84641),x84641)),f315(f315(f3(a1),f315(f315(f73(a1),x84642),x84642)),a86)))
% 201.32/201.09 [8466]~P107(f315(f315(f223(a1),x84661),x84662))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x84661),x84661)),f315(f315(f3(a1),f315(f315(f73(a1),x84662),x84662)),a86)))
% 201.32/201.09 [8895]P107(f315(f315(f223(a1),x88951),x88952))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x88951),x88951)),f315(f315(f3(a1),f315(f315(f73(a1),x88952),x88952)),a86)))
% 201.32/201.09 [8897]P107(f315(f315(f223(a1),x88971),x88972))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),x88971),x88971)),f315(f315(f3(a1),f315(f315(f73(a1),x88972),x88972)),a86)))
% 201.32/201.09 [9185]~P107(f315(f315(f223(a1),x91851),x91852))+P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x91851),x91851)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x91852),x91852)),a86)))
% 201.32/201.09 [9187]~P107(f315(f315(f224(a1),x91871),x91872))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x91871),x91871)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x91872),x91872)),a86)))
% 201.32/201.09 [9458]P107(f315(f315(f223(a1),x94581),x94582))+~P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),x94581),x94581)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x94582),x94582)),a86)))
% 201.32/201.09 [9460]P107(f315(f315(f224(a1),x94601),x94602))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),x94601),x94601)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),x94602),x94602)),a86)))
% 201.32/201.09 [9493]~P107(f315(f54(x94931),x94932))+P107(f315(f54(f901(x94931,a891)),f315(f250(f901(x94931,a891)),f315(f315(f9(f901(x94931,a891),f901(x94931,a891),a891),f223(f901(x94931,a891))),x94932))))
% 201.32/201.09 [9545]~E(f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),x95451),f177(f901(f900(a893,a893),a891)))),f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),x95452),f177(f901(f900(a893,a893),a891)))))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x95451),x95452)),a97))
% 201.32/201.09 [9639]E(f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),x96391),f177(f901(f900(a893,a893),a891)))),f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),x96392),f177(f901(f900(a893,a893),a891)))))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x96391),x96392)),a97))
% 201.32/201.09 [9675]P107(f315(f315(f223(a1),f2(a1)),f620(x96751,x96752)))+E(f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96751)),f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96752)))
% 201.32/201.09 [10178]~P5(x101781)+E(f31(x101781,f315(f250(x101781),f315(f315(f10(f901(x101781,a891),a891,x101781),f81(x101781)),f315(f315(f10(f901(x101781,a891),f901(x101781,a891),x101781),f315(f20(x101781,a891,a891),f315(f315(f10(a891,f901(a891,a891),x101781),a318),f315(f315(f9(x101781,f901(x101781,a891),a891),f317(x101781)),x101782)))),f315(f9(x101781,x101781,a891),f223(x101781)))))),f30(x101781,x101782))
% 201.32/201.09 [10200]P107(f315(f315(f317(a893),f2(a893)),x102001))+E(f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),a893),f317(a893)),a101)),x102001))),f315(f315(f9(a893,a893,a891),f224(a893)),x102002)))),f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,f901(a893,a891),a891),f317(a893)),x102001))),f315(f315(f9(a893,a893,a891),f224(a893)),f315(a101,x102002))))))
% 201.32/201.09 [10258]P107(f315(f315(f275(a893),x102581),x102582))+~P107(f315(f315(f317(a893),x102582),f283(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102581)))
% 201.32/201.09 [10259]P107(f315(f315(f275(a893),x102591),x102592))+~P107(f315(f315(f317(a893),x102591),f286(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102592)))
% 201.32/201.09 [10260]~P107(f315(f315(f275(a893),x102601),x102602))+~P107(f315(f315(f317(a893),x102602),f286(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102601)))
% 201.32/201.09 [10261]~P107(f315(f315(f275(a893),x102611),x102612))+~P107(f315(f315(f317(a893),x102611),f283(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102612)))
% 201.32/201.09 [7689]~P97(x76891)+E(f315(f315(f74(x76891),x76892),f315(f92(x76891),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),x76892)
% 201.32/201.09 [7952]~P97(x79521)+E(f315(f315(f73(x79521),f315(f92(x79521),x79522)),f71(x79521)),f315(f92(x79521),f315(f315(f73(a1),x79522),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))
% 201.32/201.09 [8096]P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x80962)))+E(f315(f315(f232(a1),x80961),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x80962),x80962)),a86))),f71(a1))
% 201.32/201.09 [9520]~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x95202)))+E(f315(f315(f232(a1),x95201),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x95202),x95202)),a86))),f315(f315(f79(a1,a1),f315(f315(f232(a1),x95201),f315(f92(a893),x95202))),f315(f315(f20(a1,a1,a1),f315(f315(f10(a1,f901(a1,a1),a1),f74(a1)),f315(f74(a1),x95201))),f7(a1))))
% 201.32/201.09 [9896]~P107(f315(f315(f223(a893),f626(x98962,x98961)),f315(x98961,f626(x98962,x98961))))+P107(f315(f54(a893),f315(f250(a893),f315(f315(f9(a893,a893,a891),f315(f315(f10(a893,f901(a893,a891),a893),f223(a893)),x98961)),x98962))))
% 201.32/201.09 [10031]~P107(f315(f315(f223(a893),f315(f92(a893),x100311)),f315(a101,x100312)))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x100311),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),f223(a893)),a93)),x100312))))
% 201.32/201.09 [10032]~P107(f315(f315(f224(a893),f315(f92(a893),x100321)),f315(a101,x100322)))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x100321),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),f224(a893)),a93)),x100322))))
% 201.32/201.09 [10091]P107(f315(f315(f223(a893),f315(f92(a893),x100911)),f315(a101,x100912)))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x100911),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),f223(a893)),a93)),x100912))))
% 201.32/201.09 [10092]P107(f315(f315(f224(a893),f315(f92(a893),x100921)),f315(a101,x100922)))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x100921),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),f224(a893)),a93)),x100922))))
% 201.32/201.09 [10122]~P107(f315(f315(f223(a893),f315(a101,x101222)),f315(f92(a893),x101221)))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101221),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f10(a893,a891,a1),f315(f223(a893),x101222)),a93)))))
% 201.32/201.09 [10123]~P107(f315(f315(f224(a893),f315(a101,x101232)),f315(f92(a893),x101231)))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101231),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f10(a893,a891,a1),f315(f224(a893),x101232)),a93)))))
% 201.32/201.09 [10168]P107(f315(f315(f223(a893),f315(a101,x101681)),f315(f92(a893),x101682)))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101682),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f10(a893,a891,a1),f315(f223(a893),x101681)),a93)))))
% 201.32/201.09 [10169]P107(f315(f315(f224(a893),f315(a101,x101691)),f315(f92(a893),x101692)))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101692),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f10(a893,a891,a1),f315(f224(a893),x101691)),a93)))))
% 201.32/201.09 [10248]~P107(f315(f315(f317(a893),f2(a893)),x102481))+E(f315(a101,f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,f901(a893,a891),a891),f315(f315(f10(a893,f901(f901(a893,a891),a891),a893),f317(a893)),a101)),x102481))),f315(f315(f9(a893,a893,a891),f224(a893)),x102482))))),f315(f28(a893),f315(f250(a893),f315(f315(f20(a893,a891,a891),f315(f315(f10(a891,f901(a891,a891),a893),a313),f315(f315(f9(a893,f901(a893,a891),a891),f317(a893)),x102481))),f315(f315(f9(a893,a893,a891),f224(a893)),f315(a101,x102482))))))
% 201.32/201.09 [8636]~P97(x86361)+E(f315(f315(f74(x86361),f315(f92(x86361),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),x86362),x86362)
% 201.32/201.09 [8697]~P97(x86971)+E(f315(f315(f73(x86971),f71(x86971)),f315(f92(x86971),x86972)),f315(f92(x86971),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),x86972)))
% 201.32/201.09 [8760]~P97(x87601)+E(f315(f315(f3(x87601),f315(f92(x87601),x87602)),f71(x87601)),f315(f92(x87601),f315(f315(f73(a1),x87602),f315(f72(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [8914]~P107(f315(f315(f224(a893),f315(f92(a893),a76)),x89142))+E(f315(f315(f3(a893),x89141),f315(f315(f3(a893),x89142),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f3(a893),f315(a101,x89141)),x89142))
% 201.32/201.09 [9563]~P113(x95631)+E(f315(f315(f74(x95631),x95632),x95632),f315(f315(f232(x95631),x95632),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [9564]~P84(x95641)+E(f315(f315(f232(x95641),x95642),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f74(x95641),x95642),x95642))
% 201.32/201.09 [9566]~P97(x95661)+E(f315(f315(f74(x95661),x95662),f315(f92(x95661),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f73(x95661),x95662),x95662))
% 201.32/201.09 [9814]~P120(x98141)+E(f315(f315(f232(x98141),f315(f69(x98141),x98142)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f232(x98141),x98142),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [9815]~P144(x98151)+E(f315(f315(f232(x98151),f315(f72(x98151),x98152)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f232(x98151),x98152),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [9811]~P97(x98111)+E(f315(f315(f74(x98111),f315(f92(x98111),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x98112),f315(f315(f73(x98111),x98112),x98112))
% 201.32/201.09 [9929]~P120(x99291)+E(f315(f69(x99291),f315(f315(f232(x99291),x99292),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x99291),x99292),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [9993]~P120(x99931)+P107(f315(f315(f223(x99931),f2(x99931)),f315(f315(f232(x99931),x99932),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.09 [10159]~E(f315(a101,x101592),f315(f92(a893),x101591))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101591),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),a312),a93)),x101592)))))
% 201.32/201.09 [10160]~E(f315(f92(a893),x101601),f315(a101,x101602))+P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x101601),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),a312),a93)),x101602)))))
% 201.32/201.09 [10203]E(f315(a101,x102031),f315(f92(a893),x102032))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x102032),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),a312),a93)),x102031)))))
% 201.32/201.09 [10204]E(f315(f92(a893),x102041),f315(a101,x102042))+~P107(f315(f315(f79(a1,a891),f315(f92(a1),f315(f315(f73(a1),x102041),a86))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a318),f315(f315(f10(a891,a891,a1),a310),a182))),f315(f315(f9(a1,a893,a891),f315(f315(f10(a893,f901(a893,a891),a1),a312),a93)),x102042)))))
% 201.32/201.09 [10249]~P15(x102491,x102492)+P107(f315(f315(f317(f901(x102491,a891)),f788(x102492,x102491)),f315(f315(f10(f901(x102491,a891),a891,f901(x102491,a891)),f80(x102491)),f315(f315(f10(f901(x102491,a891),f901(x102491,a891),f901(x102491,a891)),f315(f20(x102491,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102491),a313),f315(f315(f20(x102491,x102491,a891),x102492),f7(x102491))))),f315(f315(f9(f901(x102491,a891),f901(x102491,f901(x102491,a891)),f901(x102491,a891)),f315(f315(f10(f901(f901(x102491,a891),a891),f901(f901(x102491,f901(x102491,a891)),f901(x102491,a891)),f901(x102491,a891)),f10(f901(x102491,a891),a891,x102491)),a312)),x102492)))))
% 201.32/201.09 [9991]~P97(x99911)+E(f315(f315(f232(x99911),f315(f92(x99911),a86)),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x99912)),f71(x99911))
% 201.32/201.09 [9992]~P144(x99921)+E(f315(f315(f232(x99921),f315(f72(x99921),f71(x99921))),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x99922)),f71(x99921))
% 201.32/201.09 [9995]~P84(x99951)+E(f315(f315(f232(x99951),x99952),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),a86))),f315(f315(f74(x99951),f315(f315(f74(x99951),x99952),x99952)),x99952))
% 201.32/201.09 [10183]~P107(f315(f315(f223(a1),f2(a1)),x101832))+E(f38(a1,f315(f315(f73(a1),f71(a1)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x101831)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x101832)),f315(f315(f73(a1),f71(a1)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a1,x101831,x101832))))
% 201.32/201.09 [10206]~P107(f315(f315(f223(a1),f2(a1)),x102062))+E(f315(f315(f29(a1),f315(f315(f73(a1),f71(a1)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102061))),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102062)),f315(f315(f29(a1),x102061),x102062))
% 201.32/201.09 [10208]~P107(f315(f315(f223(a1),x102082),f2(a1)))+E(f315(f315(f29(a1),f315(f315(f73(a1),f71(a1)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102081))),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102082)),f315(f315(f29(a1),f315(f315(f73(a1),x102081),f71(a1))),x102082))
% 201.32/201.09 [10209]~P107(f315(f315(f223(a1),x102092),f2(a1)))+E(f38(a1,f315(f315(f73(a1),f71(a1)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102091)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102092)),f315(f315(f3(a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f38(a1,f315(f315(f73(a1),x102091),f71(a1)),x102092))),f71(a1)))
% 201.32/201.09 [10082]~P97(x100821)+E(f315(f315(f232(x100821),f315(f92(x100821),a86)),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100822))),f315(f92(x100821),a86))
% 201.32/201.09 [10084]~P144(x100841)+E(f315(f315(f232(x100841),f315(f72(x100841),f71(x100841))),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100842))),f315(f72(x100841),f71(x100841)))
% 201.32/201.09 [5004]P40(x50041,x50042)+~P8(x50041,x50043,x50042)
% 201.32/201.09 [5006]P53(x50061,x50062)+~P8(x50061,x50063,x50062)
% 201.32/201.09 [5178]~P25(x51781,x51782,x51783)+P30(x51781,x51782,x51783)
% 201.32/201.09 [5180]~P8(x51801,x51802,x51803)+P54(x51801,x51802,x51803)
% 201.32/201.09 [8162]~E(x81622,x81623)+P36(x81621,x81621,a312,x81622,x81623)
% 201.32/201.09 [8710]E(x87101,x87102)+~P36(x87103,x87103,a312,x87101,x87102)
% 201.32/201.09 [4808]E(f158(x48081,x48082,x48083),f102(x48081))+~E(x48082,f2(a893))
% 201.32/201.09 [4976]~E(f158(x49762,x49761,x49763),f102(x49762))+E(x49761,f2(a893))
% 201.32/201.09 [5185]~P39(x51851,x51853)+P39(x51851,f309(x51851,x51852,x51853))
% 201.32/201.09 [5295]~P31(x52951,x52952,x52953)+P33(a1,x52951,f167(x52952,x52953))
% 201.32/201.09 [5363]P31(x53631,x53632,x53633)+~P33(a1,x53631,f167(x53632,x53633))
% 201.32/201.09 [5434]~P8(x54341,x54342,x54343)+P8(f894(x54341),f150(x54341,x54342),f147(x54341,x54343))
% 201.32/201.09 [5435]~P54(x54351,x54352,x54353)+P54(f894(x54351),f150(x54351,x54352),f147(x54351,x54353))
% 201.32/201.09 [5548]P57(x55481,x55482,x55483)+~E(f575(x55483,x55482,x55481),f576(x55483,x55482,x55481))
% 201.32/201.09 [5549]P56(x55491,x55492,x55493)+~E(f596(x55493,x55492,x55491),f597(x55493,x55492,x55491))
% 201.32/201.09 [8168]~E(x81682,x81683)+P27(x81681,x81681,f25(x81681),x81682,x81683)
% 201.32/201.09 [8718]E(x87181,x87182)+~P27(x87183,x87183,f25(x87183),x87181,x87182)
% 201.32/201.09 [4763]~E(f315(f157(x47632),x47631),x47633)+E(x47631,f315(f157(x47632),x47633))
% 201.32/201.09 [4764]~E(x47642,f315(f157(x47641),x47643))+E(f315(f157(x47641),x47642),x47643)
% 201.32/201.09 [4814]E(x48141,x48142)+~E(f315(f157(x48143),x48141),f315(f157(x48143),x48142))
% 201.32/201.09 [5030]~P7(x50303,x50301)+P107(f315(f315(x50301,x50302),x50302))
% 201.32/201.09 [5031]~P45(x50313,x50311)+P107(f315(f315(x50311,x50312),x50312))
% 201.32/201.09 [5033]~P61(x50331,x50332)+P107(f315(f303(x50331,x50332),x50333))
% 201.32/201.09 [5099]~P39(x50991,x50992)+P39(f894(x50991),f315(f132(x50991,x50992),x50993))
% 201.32/201.09 [5104]~P107(f315(x51042,x51043))+~E(f315(f250(x51041),x51042),f177(f901(x51041,a891)))
% 201.32/201.09 [5105]~P107(f315(x51052,x51053))+~E(f177(f901(x51051,a891)),f315(f250(x51051),x51052))
% 201.32/201.09 [5117]E(x51171,f2(a893))+E(f133(x51172,f158(x51172,x51171,x51173)),x51173)
% 201.32/201.09 [5136]~P107(f315(x51361,x51363))+P107(f315(x51361,f83(x51362,x51361)))
% 201.32/201.09 [5137]~P107(f315(x51371,x51373))+P107(f315(x51371,f715(x51371,x51372)))
% 201.32/201.09 [5149]E(x51491,f2(a893))+E(f315(f130(x51492),f158(x51492,x51491,x51493)),x51493)
% 201.32/201.09 [5256]~E(x52562,x52563)+P107(f315(f315(f317(x52561),x52562),f315(a312,x52563)))
% 201.32/201.09 [5272]~E(x52722,f2(a893))+E(f315(f161(x52721),f158(x52721,x52722,x52723)),f177(f901(x52721,a891)))
% 201.32/201.09 [5317]E(f315(f157(x53171),x53172),f315(f315(f140(x53171),x53173),f102(x53171)))+~E(x53172,f315(f315(f140(x53171),x53173),f102(x53171)))
% 201.32/201.09 [5318]~E(x53183,f315(f315(f140(x53181),x53182),f102(x53181)))+E(f315(f315(f140(x53181),x53182),f102(x53181)),f315(f157(x53181),x53183))
% 201.32/201.09 [5359]~P35(x53591,x53592,x53593)+P35(x53591,x53592,f315(f157(x53591),x53593))
% 201.32/201.09 [5360]~P33(x53601,x53602,x53603)+P33(x53601,x53602,f315(f157(x53601),x53603))
% 201.32/201.09 [5364]E(f315(f28(x53641),f794(x53642,x53643,x53641)),x53642)+~E(f315(f28(x53641),x53643),f315(a101,x53642))
% 201.32/201.09 [5371]~P39(x53711,x53713)+P107(f315(f315(f317(x53711),x53712),f304(x53711,x53713)))
% 201.32/201.09 [5375]~E(f315(f157(x53752),x53751),f315(f315(f140(x53752),x53753),f102(x53752)))+E(x53751,f315(f315(f140(x53752),x53753),f102(x53752)))
% 201.32/201.09 [5376]~E(f315(f315(f140(x53762),x53763),f102(x53762)),f315(f157(x53762),x53761))+E(x53761,f315(f315(f140(x53762),x53763),f102(x53762)))
% 201.32/201.09 [5399]E(f78(f900(a893,a893),f41(x53991,x53992)),x53993)+~P107(f315(f41(x53991,x53992),x53993))
% 201.32/201.09 [5438]P35(x54381,x54382,x54383)+~P35(x54381,x54382,f315(f157(x54381),x54383))
% 201.32/201.09 [5439]P33(x54391,x54392,x54393)+~P33(x54391,x54392,f315(f157(x54391),x54393))
% 201.32/201.09 [5478]P107(f315(f315(x54781,x54782),x54782))+~P107(f315(f258(x54783,x54781),x54782))
% 201.32/201.09 [5479]~P107(f315(f315(x54792,x54793),x54793))+P107(f315(f258(x54791,x54792),x54793))
% 201.32/201.09 [5501]~E(x55012,f102(x55011))+P107(f315(f315(f317(f894(x55011)),x55012),f150(x55011,x55013)))
% 201.32/201.09 [5511]~P54(x55111,x55112,x55113)+P54(x55111,x55112,f315(f274(x55111,x55111),x55113))
% 201.32/201.09 [5512]~P57(x55121,x55122,x55123)+P57(x55121,x55122,f315(f274(x55121,x55121),x55123))
% 201.32/201.09 [5529]~P62(x55291)+E(f38(x55291,f38(x55291,x55292,x55293),x55293),f38(x55291,x55292,x55293))
% 201.32/201.09 [5633]E(x56331,x56332)+~P107(f315(f315(f317(x56333),x56331),f315(a312,x56332)))
% 201.32/201.09 [5680]~P147(x56801)+E(f179(x56801,x56802,f2(a893),x56803),x56803)
% 201.32/201.09 [5702]P54(x57021,x57022,x57023)+~P54(x57021,x57022,f315(f274(x57021,x57021),x57023))
% 201.32/201.09 [5703]P57(x57031,x57032,x57033)+~P57(x57031,x57032,f315(f274(x57031,x57031),x57033))
% 201.32/201.09 [5707]~P110(x57072)+E(f139(x57071,x57072,x57073,f102(x57071)),f102(x57071))
% 201.32/201.09 [5719]E(f159(x57191,x57192,f141(x57191,x57193)),f141(x57191,f159(x57191,x57192,x57193)))+~P107(f315(f126(x57191),x57193))
% 201.32/201.09 [5818]~P107(f315(f315(x58183,x58182),x58182))+P107(f315(f315(f317(x58181),x58182),f258(x58181,x58183)))
% 201.32/201.09 [5820]E(f315(f125(x58201,x58202),x58203),f102(x58201))+P107(f315(x58202,f649(x58203,x58202,x58201)))
% 201.32/201.09 [5888]E(f61(x58881,x58882,x58883),x58882)+P107(f315(x58883,f716(x58882,x58881,x58883)))
% 201.32/201.09 [5984]~P107(f315(f126(x59841),x59842))+P107(f315(f126(x59841),f165(x59841,x59842,x59843)))
% 201.32/201.09 [5985]~P107(f315(f126(x59851),x59853))+P107(f315(f126(x59851),f159(x59851,x59852,x59853)))
% 201.32/201.09 [5986]~P107(f315(f126(x59861),x59863))+P107(f315(f126(x59861),f166(x59861,x59862,x59863)))
% 201.32/201.09 [5987]~P107(f315(f126(x59871),x59873))+P107(f315(f126(x59871),f129(x59871,x59872,x59873)))
% 201.32/201.09 [5988]~P149(x59881,x59882,x59883)+P107(f315(x59881,f38(a1,x59882,x59883)))
% 201.32/201.09 [6004]~P35(x60043,x60041,x60042)+P107(f315(x60041,f728(x60042,x60041,x60043)))
% 201.32/201.09 [6005]~P37(x60053,x60051,x60052)+P107(f315(x60051,f735(x60052,x60051,x60053)))
% 201.32/201.09 [6006]~P37(x60063,x60061,x60062)+P107(f315(x60061,f745(x60062,x60061,x60063)))
% 201.32/201.09 [6007]~P35(x60073,x60071,x60072)+P107(f315(x60071,f759(x60072,x60071,x60073)))
% 201.32/201.09 [6008]~P35(x60083,x60081,x60082)+P107(f315(x60081,f768(x60081,x60082,x60083)))
% 201.32/201.09 [6013]P107(f315(f315(x60131,x60132),x60132))+~P107(f315(f315(f317(x60133),x60132),f258(x60133,x60131)))
% 201.32/201.09 [6028]E(f315(f125(x60281,x60282),x60283),f166(x60281,x60282,x60283))+P107(f315(x60282,f700(x60283,x60282,x60281)))
% 201.32/201.09 [6068]~P107(f315(f126(x60681),x60683))+P107(f315(f126(f894(x60681)),f48(x60681,x60682,x60683)))
% 201.32/201.09 [6104]~P111(x61041)+E(f315(f315(f90(f901(x61041,a891)),f315(f270(x61041),x61042)),f291(x61041,x61042,x61043)),f177(f901(x61041,a891)))
% 201.32/201.09 [6105]~P111(x61051)+E(f315(f315(f90(f901(x61051,a891)),f315(f289(x61051),x61052)),f294(x61051,x61052,x61053)),f177(f901(x61051,a891)))
% 201.32/201.09 [6106]~P111(x61061)+E(f315(f315(f90(f901(x61061,a891)),f315(f289(x61061),x61062)),f293(x61061,x61062,x61063)),f177(f901(x61061,a891)))
% 201.32/201.09 [6341]E(f315(f125(x63411,x63412),x63413),x63413)+~P107(f315(x63412,f650(x63413,x63412,x63411)))
% 201.32/201.09 [6343]E(f315(f315(f297(x63431),f853(x63432,x63433,x63431)),f794(x63432,x63433,x63431)),x63433)+~E(f315(f28(x63431),x63433),f315(a101,x63432))
% 201.32/201.09 [6359]P149(x63591,x63592,x63593)+~P107(f315(x63591,f38(a1,x63592,x63593)))
% 201.32/201.09 [6411]P33(x64111,x64112,x64113)+~P107(f315(x64112,f736(x64113,x64112,x64111)))
% 201.32/201.09 [6412]P33(x64121,x64122,x64123)+~P107(f315(x64122,f742(x64122,x64123,x64121)))
% 201.32/201.09 [6413]P33(x64131,x64132,x64133)+~P107(f315(x64132,f743(x64133,x64132,x64131)))
% 201.32/201.09 [6414]P31(x64141,x64142,x64143)+~P107(f315(x64141,f760(x64143,x64142,x64141)))
% 201.32/201.09 [6415]P32(x64151,x64152,x64153)+~P107(f315(x64151,f807(x64153,x64152,x64151)))
% 201.32/201.09 [6417]E(f166(x64171,x64172,x64173),x64173)+~P107(f315(x64172,f695(x64173,x64172,x64171)))
% 201.32/201.09 [6499]~P107(f315(x64992,f553(x64993,x64992,x64991)))+P107(f315(f236(x64991,x64992),x64993))
% 201.32/201.09 [6500]~P107(f315(x65002,f651(x65003,x65002,x65001)))+P107(f315(f149(x65001,x65002),x65003))
% 201.32/201.09 [6755]~P107(f315(f303(x67551,x67552),f362(x67553,x67552,x67551)))+P107(f315(f303(x67551,x67552),x67553))
% 201.32/201.09 [6756]~P107(f315(f303(x67561,x67562),f371(x67563,x67562,x67561)))+P107(f315(f303(x67561,x67562),x67563))
% 201.32/201.09 [7381]~P62(x73811)+E(f315(f315(f73(x73811),f315(f315(f74(x73811),x73812),f315(f315(f29(x73811),x73813),x73812))),f38(x73811,x73813,x73812)),x73813)
% 201.32/201.09 [7411]P31(x74111,x74112,x74113)+P107(f315(f315(f317(a1),f760(x74113,x74112,x74111)),f291(a1,x74112,x74113)))
% 201.32/201.09 [7843]E(f315(f315(f240(x78431,x78431),f458(x78432,x78433,x78431)),f458(x78432,x78433,x78431)),x78433)+~P107(f315(f315(f317(f900(x78431,x78431)),x78433),f251(x78431,x78432)))
% 201.32/201.09 [7960]~P107(f315(f315(f317(x79601),f503(x79603,x79602,x79601)),f304(x79601,x79603)))+P107(f315(f315(f317(x79601),x79602),f304(x79601,x79603)))
% 201.32/201.09 [7961]~P107(f315(f315(f317(x79611),f581(x79613,x79612,x79611)),f304(x79611,x79613)))+P107(f315(f315(f317(x79611),x79612),f304(x79611,x79613)))
% 201.32/201.09 [7962]~P107(f315(f315(f317(x79621),f584(x79623,x79622,x79621)),f304(x79621,x79623)))+P107(f315(f315(f317(x79621),x79622),f304(x79621,x79623)))
% 201.32/201.09 [8055]P35(a1,x80551,f167(x80552,x80553))+P31(f315(f66(a891,a891,a1,a310),x80551),x80552,x80553)
% 201.32/201.09 [8143]~P62(x81431)+E(f315(f315(f73(x81431),f315(f315(f74(x81431),f315(f315(f29(x81431),x81432),x81433)),x81433)),f38(x81431,x81432,x81433)),x81432)
% 201.32/201.09 [8189]~E(f315(f28(x81891),x81892),f315(a101,x81893))+~P107(f315(f315(f317(x81891),f853(x81893,x81892,x81891)),f794(x81893,x81892,x81891)))
% 201.32/201.09 [8628]~P35(a1,x86281,f167(x86282,x86283))+~P31(f315(f66(a891,a891,a1,a310),x86281),x86282,x86283)
% 201.32/201.09 [8816]P107(f315(f315(f223(f901(f900(x88161,x88161),a891)),f295(x88161,x88162)),f295(x88161,x88163)))+~P107(f315(f315(f223(f901(f900(x88161,x88161),a891)),x88162),f295(x88161,x88163)))
% 201.32/201.09 [9096]E(x90961,f102(x90962))+~P107(f315(f315(f317(f900(f894(x90962),f894(x90962))),f315(f315(f240(f894(x90962),f894(x90962)),x90961),f102(x90962))),f147(x90962,x90963)))
% 201.32/201.09 [9120]E(x91201,f102(x91202))+~P107(f315(f315(f317(f900(f894(x91202),f894(x91202))),f315(f315(f240(f894(x91202),f894(x91202)),f102(x91202)),x91201)),f147(x91202,x91203)))
% 201.32/201.09 [9245]E(f315(f315(f140(x92451),f669(x92452,x92453,x92451)),f670(x92452,x92453,x92451)),x92453)+~P107(f315(f315(f317(f900(f894(x92451),f894(x92451))),f315(f315(f240(f894(x92451),f894(x92451)),f102(x92451)),x92453)),f136(x92451,x92452)))
% 201.32/201.09 [9486]~P128(x94861)+~P107(f315(f315(f224(x94861),f315(f315(f73(x94861),f315(f315(f74(x94861),x94862),x94862)),f315(f315(f74(x94861),x94863),x94863))),f2(x94861)))
% 201.32/201.09 [9537]P107(f315(f54(x95371),x95372))+~P107(f315(f315(f317(f900(f901(x95371,a891),f901(x95371,a891))),f315(f315(f240(f901(x95371,a891),f901(x95371,a891)),x95373),x95372)),f302(x95371)))
% 201.32/201.09 [9840]~P49(x98401,x98402,x98403)+P107(f315(f315(f223(a1),f315(f315(f66(f900(a1,a1),a1,x98401,f239(a1,a1)),f201(x98401)),f219(x98401,x98402,f216(x98401,x98403)))),f2(a1)))
% 201.32/201.09 [9841]~P50(x98411,x98412,x98413)+P107(f315(f315(f224(a1),f315(f315(f66(f900(a1,a1),a1,x98411,f239(a1,a1)),f201(x98411)),f219(x98411,x98412,f216(x98411,x98413)))),f2(a1)))
% 201.32/201.09 [9959]P50(x99591,x99592,x99593)+~P107(f315(f315(f224(a1),f315(f315(f66(f900(a1,a1),a1,x99591,f239(a1,a1)),f201(x99591)),f219(x99591,x99592,f216(x99591,x99593)))),f2(a1)))
% 201.32/201.09 [9960]P49(x99601,x99602,x99603)+~P107(f315(f315(f223(a1),f315(f315(f66(f900(a1,a1),a1,x99601,f239(a1,a1)),f201(x99601)),f219(x99601,x99602,f216(x99601,x99603)))),f2(a1)))
% 201.32/201.09 [10311]~P120(x103111)+~P107(f315(f315(f224(x103111),f315(f315(f73(x103111),f315(f315(f232(x103111),x103112),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x103111),x103113),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f2(x103111)))
% 201.32/201.09 [4793]~E(x47933,f102(x47931))+E(f315(f315(f123(x47931),x47932),x47933),x47932)
% 201.32/201.09 [4794]~E(x47942,f102(x47941))+E(f315(f315(f123(x47941),x47942),x47943),x47943)
% 201.32/201.09 [4800]~E(x48002,f2(a893))+E(f315(f315(f164(x48001),x48002),x48003),f102(x48001))
% 201.32/201.09 [4809]~E(x48093,f102(x48091))+E(f315(f315(f164(x48091),x48092),x48093),f102(x48091))
% 201.32/201.09 [4848]~E(x48481,x48483)+E(x48481,f315(f315(f123(x48482),f102(x48482)),x48483))
% 201.32/201.09 [4939]~P1(x49392)+E(f315(f177(f901(x49391,x49392)),x49393),f177(x49392))
% 201.32/201.09 [4940]~P117(x49402)+E(f315(f230(f901(x49401,x49402)),x49403),f230(x49402))
% 201.32/201.09 [4958]E(x49581,f102(x49582))+~E(f315(f315(f123(x49582),x49583),x49581),x49583)
% 201.32/201.09 [4959]E(x49591,f102(x49592))+~E(f315(f315(f123(x49592),x49591),x49593),x49593)
% 201.32/201.09 [4967]E(x49671,f102(x49672))+~E(f315(f315(f123(x49672),x49673),x49671),f102(x49672))
% 201.32/201.09 [4968]E(x49681,f102(x49682))+~E(f315(f315(f123(x49682),x49681),x49683),f102(x49682))
% 201.32/201.09 [4997]~E(x49972,f2(a893))+E(f315(f315(f74(a893),x49971),x49972),f315(f315(f74(a893),x49973),x49972))
% 201.32/201.09 [4999]~E(x49991,f2(a893))+E(f315(f315(f74(a893),x49991),x49992),f315(f315(f74(a893),x49991),x49993))
% 201.32/201.09 [5058]~P2(x50581)+E(f315(f315(f99(x50581),x50582),x50583),f315(f315(f99(x50581),x50583),x50582))
% 201.32/201.09 [5059]~P80(x50591)+E(f315(f315(f99(x50591),x50592),x50593),f315(f315(f99(x50591),x50593),x50592))
% 201.32/201.09 [5060]~P113(x50601)+E(f315(f315(f74(x50601),x50602),x50603),f315(f315(f74(x50601),x50603),x50602))
% 201.32/201.09 [5061]~P80(x50611)+E(f315(f315(f90(x50611),x50612),x50613),f315(f315(f90(x50611),x50613),x50612))
% 201.32/201.09 [5063]~P103(x50631)+E(f315(f315(f90(x50631),x50632),x50633),f315(f315(f90(x50631),x50633),x50632))
% 201.32/201.09 [5064]~P113(x50641)+E(f315(f315(f73(x50641),x50642),x50643),f315(f315(f73(x50641),x50643),x50642))
% 201.32/201.09 [5066]~P110(x50661)+E(f315(f315(f221(x50661),x50662),x50663),f315(f315(f221(x50661),x50663),x50662))
% 201.32/201.09 [5068]~P110(x50681)+E(f315(f315(f222(x50681),x50682),x50683),f315(f315(f222(x50681),x50683),x50682))
% 201.32/201.09 [5131]E(f38(a893,x51311,x51312),f2(a893))+~E(x51311,f315(f315(f74(a893),x51312),x51313))
% 201.32/201.09 [5132]E(f38(a1,x51321,x51322),f2(a1))+~E(x51321,f315(f315(f74(a1),x51322),x51323))
% 201.32/201.09 [5197]E(x51971,x51972)+~E(f315(f315(f73(a893),x51973),x51971),f315(f315(f73(a893),x51973),x51972))
% 201.32/201.09 [5198]E(x51981,x51982)+~E(f315(f315(f73(a893),x51981),x51983),f315(f315(f73(a893),x51982),x51983))
% 201.32/201.09 [5208]~P98(x52081)+E(f315(f315(f90(x52081),x52082),f315(f72(x52081),x52083)),f315(f315(f3(x52081),x52082),x52083))
% 201.32/201.09 [5209]~P69(x52091)+E(f315(f315(f73(x52091),x52092),f315(f72(x52091),x52093)),f315(f315(f3(x52091),x52092),x52093))
% 201.32/201.09 [5210]~P77(x52101)+E(f315(f315(f73(x52101),x52102),f315(f72(x52101),x52103)),f315(f315(f3(x52101),x52102),x52103))
% 201.32/201.09 [5211]~P115(x52111)+E(f315(f315(f73(x52111),x52112),f315(f72(x52111),x52113)),f315(f315(f3(x52111),x52112),x52113))
% 201.32/201.09 [5212]~P77(x52121)+E(f315(f315(f3(x52121),x52122),f315(f72(x52121),x52123)),f315(f315(f73(x52121),x52122),x52123))
% 201.32/201.09 [5250]~P107(f315(x52503,x52502))+P107(f315(f315(f317(x52501),x52502),x52503))
% 201.32/201.09 [5252]~P76(x52522)+E(f315(f315(f8(x52521,x52522),x52523),f177(f901(x52521,a891))),f2(x52522))
% 201.32/201.09 [5254]~P72(x52542)+E(f315(f315(f11(x52541,x52542),x52543),f177(f901(x52541,a891))),f71(x52542))
% 201.32/201.09 [5307]~E(x53072,f315(f315(f73(a893),x53071),x53073))+P107(f315(f315(f223(a893),x53071),x53072))
% 201.32/201.09 [5310]~E(x53102,f177(f901(x53101,a891)))+E(f315(f315(f53(x53101),x53102),x53103),f177(f901(f901(x53101,a891),a891)))
% 201.32/201.09 [5311]~E(x53112,f177(f901(x53111,a891)))+E(f177(f901(f901(x53111,a891),a891)),f315(f315(f53(x53111),x53112),x53113))
% 201.32/201.09 [5379]~E(f315(f272(x53792,x53793),x53791),f177(f901(x53793,a891)))+E(x53791,f177(f901(f900(x53792,x53793),a891)))
% 201.32/201.09 [5380]~E(f315(f252(x53802,x53803),x53801),f177(f901(x53802,a891)))+E(x53801,f177(f901(f900(x53802,x53803),a891)))
% 201.32/201.09 [5412]E(f315(f272(x54121,x54122),x54123),f177(f901(x54122,a891)))+~E(x54123,f177(f901(f900(x54121,x54122),a891)))
% 201.32/201.09 [5413]E(f315(f252(x54131,x54132),x54133),f177(f901(x54131,a891)))+~E(x54133,f177(f901(f900(x54131,x54132),a891)))
% 201.32/201.09 [5416]E(f262(x54161,x54162,x54163),f315(f315(f3(a88),x54162),x54163))+P107(f315(f315(f224(a88),x54162),x54163))
% 201.32/201.09 [5432]P107(f315(x54321,x54322))+~P107(f315(f315(f317(x54323),x54322),x54321))
% 201.32/201.09 [5471]E(x54711,x54712)+~E(f315(f72(f901(x54713,a891)),x54711),f315(f72(f901(x54713,a891)),x54712))
% 201.32/201.09 [5482]~E(x54821,f177(f901(x54822,a891)))+~P107(f315(f315(f317(x54822),x54823),x54821))
% 201.32/201.09 [5513]~E(x55132,f315(f315(f73(a1),x55131),f315(f89(a1),x55133)))+P107(f315(f315(f223(a1),x55131),x55132))
% 201.32/201.09 [5527]E(f315(f315(f297(x55271),x55272),x55273),x55273)+~P107(f315(f315(f317(x55271),x55272),x55273))
% 201.32/201.09 [5538]E(x55381,f177(f901(x55382,a891)))+~E(f315(f315(f53(x55382),x55381),x55383),f177(f901(f901(x55382,a891),a891)))
% 201.32/201.09 [5539]E(x55391,f177(f901(x55392,a891)))+~E(f177(f901(f901(x55392,a891),a891)),f315(f315(f53(x55392),x55391),x55393))
% 201.32/201.09 [5546]~P131(x55461)+E(f315(f315(f74(x55461),f315(f72(x55461),x55462)),f315(f72(x55461),x55463)),f315(f315(f74(x55461),x55462),x55463))
% 201.32/201.09 [5547]~P65(x55471)+E(f315(f315(f279(x55471),f315(f72(x55471),x55472)),f315(f72(x55471),x55473)),f315(f315(f279(x55471),x55472),x55473))
% 201.32/201.09 [5579]~P107(f315(x55793,x55792))+P107(f315(f315(f317(x55791),x55792),f315(f250(x55791),x55793)))
% 201.32/201.09 [5606]E(x56061,f2(a893))+E(f315(f161(x56062),f158(x56062,x56061,x56063)),f315(f315(f297(x56062),x56063),f177(f901(x56062,a891))))
% 201.32/201.09 [5626]E(f159(x56261,x56262,x56263),x56263)+P107(f315(f315(f317(x56261),x56262),f315(f161(x56261),x56263)))
% 201.32/201.09 [5711]~P107(f315(f126(x57111),x57113))+P107(f315(f126(x57111),f315(f125(x57111,x57112),x57113)))
% 201.32/201.09 [5754]~P62(x57541)+E(f315(f315(f29(x57541),f38(x57541,x57542,x57543)),x57543),f2(x57541))
% 201.32/201.09 [5773]E(f165(x57731,f315(f315(f140(x57731),x57732),f102(x57731)),x57733),f102(x57731))+P107(f315(f315(f317(a893),f2(a893)),x57733))
% 201.32/201.09 [5779]E(x57791,f2(a893))+E(f315(f160(x57792),f158(x57792,x57791,x57793)),f158(x57792,f315(f315(f3(a893),x57791),f71(a893)),x57793))
% 201.32/201.09 [5830]E(f315(f315(f140(x58301),x58302),x58303),f129(x58301,x58302,x58303))+P107(f315(f315(f317(x58301),x58302),f315(f161(x58301),x58303)))
% 201.32/201.09 [5839]E(x58391,x58392)+~E(f315(f315(f74(a893),f315(a101,x58393)),x58391),f315(f315(f74(a893),f315(a101,x58393)),x58392))
% 201.32/201.09 [5840]~E(x58402,f315(f315(f73(a1),x58401),f315(f89(a1),f315(a101,x58403))))+P107(f315(f315(f224(a1),x58401),x58402))
% 201.32/201.09 [5910]~P32(x59101,x59102,x59103)+P33(a893,x59101,f128(a893,f315(f290(a893,x59102),x59103)))
% 201.32/201.09 [5963]~E(x59633,f102(x59631))+E(f315(f315(f315(f172(f894(x59631),f894(x59631)),x59632),f156(x59631)),x59633),f102(x59631))
% 201.32/201.09 [5967]P107(f315(x59671,x59672))+~P107(f315(f315(f317(x59673),x59672),f315(f250(x59673),x59671)))
% 201.32/201.09 [5999]E(x59991,x59992)+~E(f315(f315(f297(x59993),x59991),f177(f901(x59993,a891))),f315(f315(f297(x59993),x59992),f177(f901(x59993,a891))))
% 201.32/201.09 [6015]~P111(x60151)+E(f315(f315(f90(f901(x60151,a891)),f315(f270(x60151),x60152)),f315(f290(x60151,x60152),x60153)),f177(f901(x60151,a891)))
% 201.32/201.09 [6054]E(f129(x60541,x60542,x60543),x60543)+~P107(f315(f315(f317(x60541),x60542),f315(f161(x60541),x60543)))
% 201.32/201.09 [6076]~P82(x60761)+E(f315(f298(x60761,x60761,f72(x60761)),f315(f290(x60761,x60762),x60763)),f293(x60761,f315(f72(x60761),x60763),f315(f72(x60761),x60762)))
% 201.32/201.09 [6087]E(f315(f178(f894(x60871)),f159(x60871,x60872,x60873)),f315(f178(f894(x60871)),x60873))+P107(f315(f315(f317(x60871),x60872),f315(f161(x60871),x60873)))
% 201.32/201.09 [6142]~P111(x61421)+E(f315(f315(f90(f901(x61421,a891)),f315(f290(x61421,x61422),x61423)),f315(f271(x61421),x61423)),f177(f901(x61421,a891)))
% 201.32/201.09 [6162]~P82(x61621)+E(f315(f298(x61621,x61621,f72(x61621)),f291(x61621,x61622,x61623)),f291(x61621,f315(f72(x61621),x61623),f315(f72(x61621),x61622)))
% 201.32/201.09 [6163]~P82(x61631)+E(f315(f298(x61631,x61631,f72(x61631)),f294(x61631,x61632,x61633)),f294(x61631,f315(f72(x61631),x61633),f315(f72(x61631),x61632)))
% 201.32/201.09 [6230]E(f165(x62301,f315(f315(f140(x62301),x62302),f102(x62301)),x62303),f315(f315(f140(x62301),x62302),f102(x62301)))+~P107(f315(f315(f317(a893),f2(a893)),x62303))
% 201.32/201.09 [6235]P32(x62351,x62352,x62353)+~P33(a893,x62351,f128(a893,f315(f290(a893,x62352),x62353)))
% 201.32/201.09 [6238]~P82(x62381)+E(f315(f298(x62381,x62381,f72(x62381)),f293(x62381,x62382,x62383)),f315(f290(x62381,f315(f72(x62381),x62383)),f315(f72(x62381),x62382)))
% 201.32/201.09 [6260]~P63(x62601)+E(f38(x62601,f315(f72(x62601),f38(x62601,x62602,x62603)),x62603),f38(x62601,f315(f72(x62601),x62602),x62603))
% 201.32/201.09 [6357]~P107(f315(f54(f900(x63572,x63571)),x63573))+P107(f315(f54(x63571),f315(f272(x63572,x63571),x63573)))
% 201.32/201.09 [6358]~P107(f315(f54(f900(x63581,x63582)),x63583))+P107(f315(f54(x63581),f315(f252(x63581,x63582),x63583)))
% 201.32/201.09 [6363]~P111(x63631)+E(f315(f315(f90(f901(x63631,a891)),f291(x63631,x63632,x63633)),f315(f292(x63631),x63633)),f177(f901(x63631,a891)))
% 201.32/201.09 [6364]~P111(x63641)+E(f315(f315(f90(f901(x63641,a891)),f294(x63641,x63642,x63643)),f315(f271(x63641),x63643)),f177(f901(x63641,a891)))
% 201.32/201.09 [6365]~P111(x63651)+E(f315(f315(f90(f901(x63651,a891)),f293(x63651,x63652,x63653)),f315(f292(x63651),x63653)),f177(f901(x63651,a891)))
% 201.32/201.09 [6438]E(f315(f315(f153(x64381),x64382),f631(x64382,x64383,x64381)),x64383)+~P107(f315(f315(f317(x64381),x64383),f315(f161(x64381),x64382)))
% 201.32/201.09 [6585]E(x65851,f102(x65852))+~E(f315(f315(f315(f172(f894(x65852),f894(x65852)),x65853),f156(x65852)),x65851),f102(x65852))
% 201.32/201.09 [6691]~P107(f315(f54(f900(x66912,x66911)),x66913))+P107(f315(f54(f900(x66911,x66912)),f315(f274(x66912,x66911),x66913)))
% 201.32/201.09 [6714]E(x67141,x67142)+~E(f278(a893,f275(a893),x67143,x67141),f315(f315(f297(a893),x67142),f177(f901(a893,a891))))
% 201.32/201.09 [6715]E(x67151,x67152)+~E(f278(a893,f275(a893),x67151,x67152),f315(f315(f297(a893),x67153),f177(f901(a893,a891))))
% 201.32/201.09 [6850]P57(x68501,x68502,x68503)+P107(f315(f315(f317(x68501),f576(x68503,x68502,x68501)),x68502))
% 201.32/201.09 [6851]P57(x68511,x68512,x68513)+P107(f315(f315(f317(x68511),f575(x68513,x68512,x68511)),x68512))
% 201.32/201.09 [6861]P107(f315(f303(x68611,x68612),x68613))+P107(f315(f315(x68612,f362(x68613,x68612,x68611)),x68613))
% 201.32/201.09 [6862]P107(f315(f303(x68621,x68622),x68623))+P107(f315(f315(x68622,f371(x68623,x68622,x68621)),x68623))
% 201.32/201.09 [6893]E(f315(f178(f894(x68931)),f159(x68931,x68932,x68933)),f315(f315(f3(a893),f315(f178(f894(x68931)),x68933)),f71(a893)))+~P107(f315(f315(f317(x68931),x68932),f315(f161(x68931),x68933)))
% 201.32/201.09 [6932]P107(f315(f236(x69321,x69322),x69323))+P107(f315(f315(f317(x69321),f553(x69323,x69322,x69321)),x69323))
% 201.32/201.09 [6941]~P107(f315(f54(f900(x69412,x69411)),f315(f274(x69411,x69412),x69413)))+P107(f315(f54(f900(x69411,x69412)),x69413))
% 201.32/201.09 [6999]~P107(f315(f315(f317(x69991),x69992),f315(f161(x69991),f103(x69991,x69993))))+P107(f315(f315(f317(x69991),x69992),f315(f161(x69991),x69993)))
% 201.32/201.09 [7034]E(f315(f125(x70341,x70342),x70343),x70343)+P107(f315(f315(f317(x70341),f650(x70343,x70342,x70341)),f315(f161(x70341),x70343)))
% 201.32/201.09 [7050]E(f315(f125(x70501,x70502),x70503),f102(x70501))+P107(f315(f315(f317(x70501),f649(x70503,x70502,x70501)),f315(f161(x70501),x70503)))
% 201.32/201.09 [7076]P33(x70761,x70762,x70763)+P107(f315(f315(f317(x70761),f736(x70763,x70762,x70761)),f315(f161(x70761),x70763)))
% 201.32/201.09 [7077]P33(x70771,x70772,x70773)+P107(f315(f315(f317(x70771),f743(x70773,x70772,x70771)),f315(f161(x70771),x70773)))
% 201.32/201.09 [7078]P33(x70781,x70782,x70783)+P107(f315(f315(f317(x70781),f742(x70782,x70783,x70781)),f315(f161(x70781),x70783)))
% 201.32/201.09 [7081]E(f166(x70811,x70812,x70813),x70813)+P107(f315(f315(f317(x70811),f695(x70813,x70812,x70811)),f315(f161(x70811),x70813)))
% 201.32/201.09 [7158]P107(f315(f149(x71581,x71582),x71583))+P107(f315(f315(f317(x71581),f651(x71583,x71582,x71581)),f315(f161(x71581),x71583)))
% 201.32/201.09 [7167]~P35(x71671,x71673,x71672)+P107(f315(f315(f317(x71671),f728(x71672,x71673,x71671)),f315(f161(x71671),x71672)))
% 201.32/201.09 [7168]~P37(x71681,x71683,x71682)+P107(f315(f315(f317(x71681),f735(x71682,x71683,x71681)),f315(f161(x71681),x71682)))
% 201.32/201.09 [7169]~P37(x71691,x71693,x71692)+P107(f315(f315(f317(x71691),f745(x71692,x71693,x71691)),f315(f161(x71691),x71692)))
% 201.32/201.09 [7170]~P35(x71701,x71703,x71702)+P107(f315(f315(f317(x71701),f759(x71702,x71703,x71701)),f315(f161(x71701),x71702)))
% 201.32/201.09 [7171]~P35(x71711,x71712,x71713)+P107(f315(f315(f317(x71711),f768(x71712,x71713,x71711)),f315(f161(x71711),x71713)))
% 201.32/201.09 [7205]P107(f315(f315(f317(x72051),x72052),f876(x72053,x72052,x72051)))+~P107(f315(f315(f317(x72051),x72052),f30(f901(x72051,a891),x72053)))
% 201.32/201.09 [7206]~P76(x72061)+E(f315(f315(f73(x72061),f315(f315(f8(a893,x72061),x72062),f315(f270(a893),x72063))),f315(x72062,x72063)),f315(f315(f8(a893,x72061),x72062),f315(f270(a893),f315(a101,x72063))))
% 201.32/201.09 [7218]P32(x72181,x72182,x72183)+P107(f315(f315(f317(a893),f807(x72183,x72182,x72181)),f315(f290(a893,x72182),x72183)))
% 201.32/201.09 [7298]~P35(x72982,x72981,x72983)+P107(f315(x72981,f315(f315(f153(x72982),x72983),f732(x72983,x72981,x72982))))
% 201.32/201.09 [7311]~P107(f315(f315(f317(x73111),x73112),f364(x73112,x73113,x73111)))+P107(f315(f315(f317(x73111),x73112),f31(f901(x73111,a891),x73113)))
% 201.32/201.09 [7344]~P76(x73441)+E(f315(f315(f73(x73441),f315(f315(f8(a893,x73441),x73442),f315(f289(a893),x73443))),f315(x73442,f315(a101,x73443))),f315(f315(f8(a893,x73441),x73442),f315(f289(a893),f315(a101,x73443))))
% 201.32/201.09 [7485]P107(f315(f315(f317(f894(x74851)),x74852),f150(x74851,x74853)))+P107(f315(f315(f317(x74851),f637(x74853,x74852,x74851)),f315(f161(x74851),x74852)))
% 201.32/201.09 [7501]~P107(f315(f315(f317(f894(x75011)),x75012),f150(x75011,f304(x75011,x75013))))+P107(f315(f315(f317(f894(x75011)),x75012),f304(f894(x75011),f146(x75011,x75013))))
% 201.32/201.09 [7525]~P107(f315(f315(f317(f894(x75251)),x75252),f304(f894(x75251),f146(x75251,x75253))))+P107(f315(f315(f317(f894(x75251)),x75252),f150(x75251,f304(x75251,x75253))))
% 201.32/201.09 [7558]E(f315(f315(f315(f172(f894(x75581),f894(x75581)),x75582),f156(x75581)),x75583),x75583)+~P107(f315(f315(f223(a893),f315(f178(f894(x75581)),x75583)),f71(a893)))
% 201.32/201.09 [7591]E(f315(f315(f123(x75911),f738(x75912,x75913,x75911)),f315(f315(f140(x75911),x75913),f739(x75912,x75913,x75911))),x75912)+~P107(f315(f315(f317(x75911),x75913),f315(f161(x75911),x75912)))
% 201.32/201.09 [7592]E(f315(f315(f123(x75921),f733(x75922,x75923,x75921)),f315(f315(f140(x75921),x75923),f734(x75922,x75923,x75921))),x75922)+~P107(f315(f315(f317(x75921),x75923),f315(f161(x75921),x75922)))
% 201.32/201.09 [7593]E(f315(f315(f123(x75931),f740(x75932,x75933,x75931)),f315(f315(f140(x75931),x75933),f741(x75932,x75933,x75931))),x75932)+~P107(f315(f315(f317(x75931),x75933),f315(f161(x75931),x75932)))
% 201.32/201.09 [7614]~P26(x76141,x76142,x76143,f230(f901(x76141,a891)))+P26(f894(x76141),f894(x76142),f315(f143(x76141,x76142),x76143),f230(f901(f894(x76141),a891)))
% 201.32/201.09 [7765]E(x77651,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x77652)),x77653)),f315(f244(a893,a893),x77652)))+~P107(f315(f41(x77651,x77653),x77652))
% 201.32/201.09 [7773]P26(x77731,x77732,x77733,f230(f901(x77731,a891)))+~P26(f894(x77731),f894(x77732),f315(f143(x77731,x77732),x77733),f230(f901(f894(x77731),a891)))
% 201.32/201.09 [7818]P107(f315(f315(f317(f901(x78181,a891)),f364(x78182,x78183,x78181)),x78183))+P107(f315(f315(f317(x78181),x78182),f31(f901(x78181,a891),x78183)))
% 201.32/201.09 [7908]P107(f315(f315(f317(f894(x79081)),x79082),f150(x79081,x79083)))+~P107(f315(f315(f317(x79081),f637(x79083,x79082,x79081)),x79083))
% 201.32/201.09 [8009]P33(x80091,x80092,x80093)+~P107(f315(x80092,f315(f315(f153(x80091),x80093),f737(x80093,x80092,x80091))))
% 201.32/201.09 [8034]E(x80341,x80342)+~E(f315(f315(f9(x80343,f901(x80343,a891),a891),f317(x80343)),x80341),f315(f315(f9(x80343,f901(x80343,a891),a891),f317(x80343)),x80342))
% 201.32/201.09 [8042]~P107(f315(f315(f317(f900(x80421,x80421)),x80423),f251(x80421,x80422)))+P107(f315(f315(f317(x80421),f458(x80422,x80423,x80421)),x80422))
% 201.32/201.09 [8044]~P107(f315(f315(f317(x80441),x80443),f30(f901(x80441,a891),x80442)))+P107(f315(f315(f317(f901(x80441,a891)),f876(x80442,x80443,x80441)),x80442))
% 201.32/201.09 [8163]P26(x81631,x81632,f84(x81632,x81631,f230(f901(x81632,a891)),x81633),f230(f901(x81631,a891)))+~E(f315(f298(x81632,x81631,x81633),f230(f901(x81632,a891))),f230(f901(x81631,a891)))
% 201.32/201.09 [8217]~P107(f315(f315(f317(x82171),x82172),f315(f161(x82171),f733(x82173,x82172,x82171))))+~P107(f315(f315(f317(x82171),x82172),f315(f161(x82171),x82173)))
% 201.32/201.09 [8218]~P107(f315(f315(f317(x82181),x82182),f315(f161(x82181),f741(x82183,x82182,x82181))))+~P107(f315(f315(f317(x82181),x82182),f315(f161(x82181),x82183)))
% 201.32/201.09 [8247]P32(f315(f66(a891,a891,a893,a310),x82471),x82472,x82473)+P35(a893,x82471,f128(a893,f315(f290(a893,x82472),x82473)))
% 201.32/201.09 [8407]E(x84071,f102(x84072))+P107(f315(f315(f317(x84072),f315(f239(x84072,f900(a88,a88)),f315(f263(x84072,x84071),x84073))),f315(f161(x84072),x84071)))
% 201.32/201.09 [8506]~P71(x85061)+E(f315(f131(x85061,x85061,f315(f9(x85061,x85061,x85061),f73(x85061)),x85062),f315(f157(x85061),x85063)),f315(f131(x85061,x85061,f73(x85061),x85062),x85063))
% 201.32/201.09 [8698]~P26(x86982,x86981,x86983,f230(f901(x86982,a891)))+E(f315(f298(x86981,x86982,f84(x86982,x86981,f230(f901(x86982,a891)),x86983)),f230(f901(x86981,a891))),f230(f901(x86982,a891)))
% 201.32/201.09 [8769]~P32(f315(f66(a891,a891,a893,a310),x87691),x87692,x87693)+~P35(a893,x87691,f128(a893,f315(f290(a893,x87692),x87693)))
% 201.32/201.09 [9016]~P110(x90161)+E(f315(f161(x90161),f138(x90161,x90161,f7(x90161),x90162,x90163)),f315(f315(f297(x90161),x90162),f315(f161(x90161),x90163)))
% 201.32/201.09 [9025]~E(f315(x90253,f315(f84(x90251,x90252,f230(f901(x90251,a891)),x90253),f787(x90253,x90252,x90251))),f787(x90253,x90252,x90251))+E(f315(f298(x90251,x90252,x90253),f230(f901(x90251,a891))),f230(f901(x90252,a891)))
% 201.32/201.09 [9027]P107(f315(f315(f224(a893),f2(a893)),f602(x90271,x90272,x90273)))+~P107(f315(f315(f317(f900(x90273,x90273)),x90272),f315(f315(f277(x90273,x90273,x90273),x90271),f295(x90273,x90271))))
% 201.32/201.09 [9303]~P59(x93031,x93032)+~P107(f315(f315(f317(f900(x93031,x93031)),f315(f315(f240(x93031,x93031),x93033),x93033)),f315(f315(f277(x93031,x93031,x93031),x93032),f295(x93031,x93032))))
% 201.32/201.09 [9441]~E(f315(f315(f90(f901(f900(x94411,x94411),a891)),f315(f274(x94411,x94411),x94412)),f295(x94411,x94412)),f177(f901(f900(x94411,x94411),a891)))+~P107(f315(f315(f317(f900(x94411,x94411)),f315(f315(f240(x94411,x94411),x94413),x94413)),f315(f315(f277(x94411,x94411,x94411),x94412),f295(x94411,x94412))))
% 201.32/201.09 [9632]~P107(f315(f54(x96321),x96322))+P107(f315(f315(f223(a893),f315(f28(x96321),f315(f315(f3(f901(x96321,a891)),x96322),f315(f315(f297(x96321),x96323),f177(f901(x96321,a891)))))),f315(f28(x96321),x96322)))
% 201.32/201.09 [5119]~E(x51193,f102(x51191))+E(f133(x51191,f315(f315(f140(x51191),x51192),x51193)),x51192)
% 201.32/201.09 [5128]~E(x51283,f102(x51281))+E(f103(x51281,f315(f315(f140(x51281),x51282),x51283)),f102(x51281))
% 201.32/201.09 [5158]E(x51581,f102(x51582))+E(f133(x51582,f315(f315(f140(x51582),x51583),x51581)),f133(x51582,x51581))
% 201.32/201.09 [5160]E(x51601,f102(x51602))+E(f133(x51602,f315(f315(f123(x51602),x51603),x51601)),f133(x51602,x51601))
% 201.32/201.09 [5166]~E(x51663,f102(x51661))+E(f103(x51661,f315(f315(f123(x51661),x51662),x51663)),f103(x51661,x51662))
% 201.32/201.09 [5168]~E(x51683,f102(x51681))+E(f133(x51681,f315(f315(f123(x51681),x51682),x51683)),f133(x51681,x51682))
% 201.32/201.09 [5202]E(x52021,f102(x52022))+E(f315(f130(x52022),f315(f315(f123(x52022),x52021),x52023)),f315(f130(x52022),x52021))
% 201.32/201.09 [5230]~E(x52302,f102(x52301))+E(f315(f130(x52301),f315(f315(f123(x52301),x52302),x52303)),f315(f130(x52301),x52303))
% 201.32/201.09 [5283]~P80(x52831)+E(f315(f315(f99(x52831),x52832),f315(f315(f90(x52831),x52832),x52833)),x52832)
% 201.32/201.09 [5284]~P80(x52841)+E(f315(f315(f90(x52841),x52842),f315(f315(f99(x52841),x52842),x52843)),x52842)
% 201.32/201.09 [5285]~P110(x52851)+E(f315(f315(f221(x52851),x52852),f315(f315(f222(x52851),x52852),x52853)),x52852)
% 201.32/201.09 [5286]~P110(x52861)+E(f315(f315(f222(x52861),x52862),f315(f315(f221(x52861),x52862),x52863)),x52862)
% 201.32/201.09 [5305]~P62(x53051)+E(f38(x53051,f315(f315(f74(x53051),x53052),x53053),x53053),f2(x53051))
% 201.32/201.09 [5306]~P62(x53061)+E(f38(x53061,f315(f315(f74(x53061),x53062),x53063),x53062),f2(x53061))
% 201.32/201.09 [5374]~P69(x53741)+E(f315(f72(x53741),f315(f315(f3(x53741),x53742),x53743)),f315(f315(f3(x53741),x53743),x53742))
% 201.32/201.09 [5436]E(x54361,f102(x54362))+E(f103(x54362,f315(f315(f140(x54362),x54363),x54361)),f315(f315(f140(x54362),x54363),f103(x54362,x54361)))
% 201.32/201.09 [5437]E(x54371,f102(x54372))+E(f103(x54372,f315(f315(f123(x54372),x54373),x54371)),f315(f315(f123(x54372),x54373),f103(x54372,x54371)))
% 201.32/201.09 [5440]~P5(x54401)+E(f30(x54401,f315(f315(f297(x54401),x54402),x54403)),f315(f315(f99(x54401),x54402),f30(x54401,x54403)))
% 201.32/201.09 [5441]~P5(x54411)+E(f31(x54411,f315(f315(f297(x54411),x54412),x54413)),f315(f315(f90(x54411),x54412),f31(x54411,x54413)))
% 201.32/201.09 [5488]~P2(x54881)+E(f315(f315(f99(x54881),x54882),f315(f315(f99(x54881),x54882),x54883)),f315(f315(f99(x54881),x54882),x54883))
% 201.32/201.09 [5489]~P80(x54891)+E(f315(f315(f99(x54891),x54892),f315(f315(f99(x54891),x54892),x54893)),f315(f315(f99(x54891),x54892),x54893))
% 201.32/201.09 [5490]~P99(x54901)+E(f315(f315(f74(x54901),x54902),f315(f315(f74(x54901),x54902),x54903)),f315(f315(f74(x54901),x54902),x54903))
% 201.32/201.09 [5491]~P80(x54911)+E(f315(f315(f90(x54911),x54912),f315(f315(f90(x54911),x54912),x54913)),f315(f315(f90(x54911),x54912),x54913))
% 201.32/201.09 [5493]~P103(x54931)+E(f315(f315(f90(x54931),x54932),f315(f315(f90(x54931),x54932),x54933)),f315(f315(f90(x54931),x54932),x54933))
% 201.32/201.09 [5495]~P110(x54951)+E(f315(f315(f221(x54951),x54952),f315(f315(f221(x54951),x54952),x54953)),f315(f315(f221(x54951),x54952),x54953))
% 201.32/201.09 [5497]~P110(x54971)+E(f315(f315(f222(x54971),x54972),f315(f315(f222(x54971),x54972),x54973)),f315(f315(f222(x54971),x54972),x54973))
% 201.32/201.09 [5504]~P62(x55041)+E(f38(x55041,f315(f315(f73(x55041),x55042),x55043),x55043),f38(x55041,x55042,x55043))
% 201.32/201.09 [5505]~P62(x55051)+E(f38(x55051,f315(f315(f73(x55051),x55052),x55053),x55052),f38(x55051,x55053,x55052))
% 201.32/201.09 [5514]~P131(x55141)+E(f315(f315(f74(x55141),x55142),f315(f72(x55141),x55143)),f315(f72(x55141),f315(f315(f74(x55141),x55142),x55143)))
% 201.32/201.09 [5515]~P65(x55151)+E(f315(f315(f279(x55151),x55152),f315(f72(x55151),x55153)),f315(f72(x55151),f315(f315(f279(x55151),x55152),x55153)))
% 201.32/201.09 [5516]~P85(x55161)+E(f315(f315(f73(x55161),x55162),f315(f154(x55161),x55163)),f315(f154(x55161),f315(f315(f140(x55161),x55162),x55163)))
% 201.32/201.09 [5544]~P131(x55441)+E(f315(f315(f74(x55441),f315(f72(x55441),x55442)),x55443),f315(f315(f74(x55441),x55442),f315(f72(x55441),x55443)))
% 201.32/201.09 [5550]~P8(x55501,x55502,x55503)+E(f30(f901(x55501,a891),f315(f315(f53(x55501),x55502),x55503)),x55502)
% 201.32/201.09 [5618]~P116(x56181)+E(f315(f315(f74(x56181),x56182),f315(f315(f232(x56181),x56182),x56183)),f315(f315(f232(x56181),x56182),f315(a101,x56183)))
% 201.32/201.09 [5619]~P113(x56191)+E(f315(f315(f74(x56191),x56192),f315(f315(f232(x56191),x56192),x56193)),f315(f315(f232(x56191),x56192),f315(a101,x56193)))
% 201.32/201.09 [5629]~P77(x56291)+E(f315(f315(f73(x56291),f315(f72(x56291),x56292)),f315(f315(f73(x56291),x56292),x56293)),x56293)
% 201.32/201.09 [5652]~P147(x56521)+E(f315(f315(f232(x56521),f315(f89(x56521),x56522)),x56523),f315(f89(x56521),f315(f315(f232(a893),x56522),x56523)))
% 201.32/201.09 [5653]~P144(x56531)+E(f315(f315(f232(x56531),f315(f91(x56531),x56532)),x56533),f315(f91(x56531),f315(f315(f232(a1),x56532),x56533)))
% 201.32/201.09 [5659]~P88(x56591)+E(f315(f69(x56591),f315(f315(f3(x56591),x56592),x56593)),f315(f69(x56591),f315(f315(f3(x56591),x56593),x56592)))
% 201.32/201.09 [5661]~P120(x56611)+E(f315(f315(f74(x56611),f75(x56611,x56612)),f75(x56611,x56613)),f75(x56611,f315(f315(f74(x56611),x56612),x56613)))
% 201.32/201.09 [5665]E(x56651,f102(x56652))+E(f315(f315(f123(x56652),f315(f160(x56652),x56651)),x56653),f315(f160(x56652),f315(f315(f123(x56652),x56651),x56653)))
% 201.32/201.09 [5671]~E(x56712,f315(a101,f315(f315(f73(a893),x56711),x56713)))+P107(f315(f315(f224(a893),x56711),x56712))
% 201.32/201.09 [5672]~P120(x56721)+E(f315(f315(f232(x56721),f315(f69(x56721),x56722)),x56723),f315(f69(x56721),f315(f315(f232(x56721),x56722),x56723)))
% 201.32/201.09 [5673]~P131(x56731)+E(f315(f315(f74(x56731),f315(f72(x56731),x56732)),x56733),f315(f72(x56731),f315(f315(f74(x56731),x56732),x56733)))
% 201.32/201.09 [5674]~P124(x56741)+E(f315(f315(f279(x56741),f315(f72(x56741),x56742)),x56743),f315(f72(x56741),f315(f315(f279(x56741),x56742),x56743)))
% 201.32/201.09 [5772]E(f529(x57721,x57722,x57723),f550(x57721,x57722,x57723))+E(f315(f315(f90(f901(x57723,a891)),x57722),x57721),f177(f901(x57723,a891)))
% 201.32/201.09 [5787]~P76(x57872)+E(f315(f315(f8(x57871,x57872),f315(f18(x57872,x57871),f2(x57872))),x57873),f2(x57872))
% 201.32/201.09 [5788]~P72(x57882)+E(f315(f315(f11(x57881,x57882),f315(f18(x57882,x57881),f71(x57882))),x57883),f71(x57882))
% 201.32/201.09 [5790]~P97(x57901)+E(f315(f315(f3(x57901),f315(f92(x57901),x57902)),f315(f92(x57901),x57903)),f315(f92(x57901),f315(f315(f3(a1),x57902),x57903)))
% 201.32/201.09 [5793]~P147(x57931)+E(f315(f315(f74(x57931),f315(f89(x57931),x57932)),f315(f89(x57931),x57933)),f315(f89(x57931),f315(f315(f74(a893),x57932),x57933)))
% 201.32/201.09 [5794]~P147(x57941)+E(f315(f315(f73(x57941),f315(f89(x57941),x57942)),f315(f89(x57941),x57943)),f315(f89(x57941),f315(f315(f73(a893),x57942),x57943)))
% 201.32/201.09 [5795]~P144(x57951)+E(f315(f315(f3(x57951),f315(f91(x57951),x57952)),f315(f91(x57951),x57953)),f315(f91(x57951),f315(f315(f3(a1),x57952),x57953)))
% 201.32/201.09 [5796]~P144(x57961)+E(f315(f315(f74(x57961),f315(f91(x57961),x57962)),f315(f91(x57961),x57963)),f315(f91(x57961),f315(f315(f74(a1),x57962),x57963)))
% 201.32/201.09 [5797]~P144(x57971)+E(f315(f315(f73(x57971),f315(f91(x57971),x57972)),f315(f91(x57971),x57973)),f315(f91(x57971),f315(f315(f73(a1),x57972),x57973)))
% 201.32/201.09 [5798]~P97(x57981)+E(f315(f315(f74(x57981),f315(f92(x57981),x57982)),f315(f92(x57981),x57983)),f315(f92(x57981),f315(f315(f74(a1),x57982),x57983)))
% 201.32/201.09 [5799]~P97(x57991)+E(f315(f315(f73(x57991),f315(f92(x57991),x57992)),f315(f92(x57991),x57993)),f315(f92(x57991),f315(f315(f73(a1),x57992),x57993)))
% 201.32/201.09 [5847]~E(x58473,x58472)+P107(f315(f315(f223(f901(x58471,a891)),x58472),x58473))
% 201.32/201.09 [5853]~E(x58532,x58533)+P107(f315(f315(f223(f901(x58531,a891)),x58532),x58533))
% 201.32/201.09 [5858]~P120(x58581)+E(f315(f315(f74(x58581),f315(f69(x58581),x58582)),f315(f69(x58581),x58583)),f315(f69(x58581),f315(f315(f74(x58581),x58582),x58583)))
% 201.32/201.09 [5859]~P67(x58591)+E(f315(f315(f279(x58591),f315(f69(x58591),x58592)),f315(f69(x58591),x58593)),f315(f69(x58591),f315(f315(f279(x58591),x58592),x58593)))
% 201.32/201.09 [5860]~P98(x58601)+E(f315(f315(f90(x58601),f315(f72(x58601),x58602)),f315(f72(x58601),x58603)),f315(f72(x58601),f315(f315(f99(x58601),x58602),x58603)))
% 201.32/201.09 [5861]~P98(x58611)+E(f315(f315(f99(x58611),f315(f72(x58611),x58612)),f315(f72(x58611),x58613)),f315(f72(x58611),f315(f315(f90(x58611),x58612),x58613)))
% 201.32/201.09 [5862]~P77(x58621)+E(f315(f315(f73(x58621),f315(f72(x58621),x58622)),f315(f72(x58621),x58623)),f315(f72(x58621),f315(f315(f73(x58621),x58623),x58622)))
% 201.32/201.09 [5863]~P69(x58631)+E(f315(f315(f73(x58631),f315(f72(x58631),x58632)),f315(f72(x58631),x58633)),f315(f72(x58631),f315(f315(f73(x58631),x58632),x58633)))
% 201.32/201.09 [5864]~P78(x58641)+E(f315(f315(f222(x58641),f315(f72(x58641),x58642)),f315(f72(x58641),x58643)),f315(f72(x58641),f315(f315(f221(x58641),x58642),x58643)))
% 201.32/201.09 [5865]~P78(x58651)+E(f315(f315(f221(x58651),f315(f72(x58651),x58652)),f315(f72(x58651),x58653)),f315(f72(x58651),f315(f315(f222(x58651),x58652),x58653)))
% 201.32/201.09 [5866]~P85(x58661)+E(f315(f315(f73(x58661),f315(f154(x58661),x58662)),f315(f154(x58661),x58663)),f315(f154(x58661),f315(f315(f123(x58661),x58662),x58663)))
% 201.32/201.09 [5867]E(x58671,f177(f901(x58672,a891)))+~E(f315(f315(f99(f901(x58672,a891)),x58673),x58671),f177(f901(x58672,a891)))
% 201.32/201.09 [5868]E(x58681,f177(f901(x58682,a891)))+~E(f315(f315(f99(f901(x58682,a891)),x58681),x58683),f177(f901(x58682,a891)))
% 201.32/201.09 [5869]~P150(x58691,x58692,x58693)+P107(f315(x58691,f315(f315(f29(a1),x58692),x58693)))
% 201.32/201.09 [5934]~P107(f315(f54(x59341),x59343))+P107(f315(f54(x59341),f315(f315(f297(x59341),x59342),x59343)))
% 201.32/201.09 [5935]~P107(f315(f126(x59351),x59353))+P107(f315(f126(x59351),f315(f315(f164(x59351),x59352),x59353)))
% 201.32/201.09 [5936]~P107(f315(f126(x59361),x59363))+P107(f315(f126(x59361),f315(f315(f127(x59361),x59362),x59363)))
% 201.32/201.09 [5968]~P2(x59681)+P107(f315(f315(f223(x59681),x59682),f315(f315(f99(x59681),x59683),x59682)))
% 201.32/201.09 [5969]~P80(x59691)+P107(f315(f315(f223(x59691),x59692),f315(f315(f99(x59691),x59693),x59692)))
% 201.32/201.09 [5970]~P2(x59701)+P107(f315(f315(f223(x59701),x59702),f315(f315(f99(x59701),x59702),x59703)))
% 201.32/201.09 [5971]~P80(x59711)+P107(f315(f315(f223(x59711),x59712),f315(f315(f99(x59711),x59712),x59713)))
% 201.32/201.09 [5972]~P110(x59721)+P107(f315(f315(f223(x59721),x59722),f315(f315(f222(x59721),x59723),x59722)))
% 201.32/201.09 [5973]~P110(x59731)+P107(f315(f315(f223(x59731),x59732),f315(f315(f222(x59731),x59732),x59733)))
% 201.32/201.09 [5974]~P113(x59741)+P107(f315(f315(f275(x59741),x59742),f315(f315(f74(x59741),x59743),x59742)))
% 201.32/201.09 [5975]~P113(x59751)+P107(f315(f315(f275(x59751),x59752),f315(f315(f74(x59751),x59752),x59753)))
% 201.32/201.09 [5989]~E(x59891,f2(a893))+E(f315(f315(f29(a893),f315(f315(f74(a893),x59891),x59892)),f315(f315(f74(a893),x59891),x59893)),f2(a893))
% 201.32/201.09 [6070]~P97(x60701)+E(f315(f315(f3(x60701),f315(f92(x60701),x60702)),f315(f92(x60701),x60703)),f315(f92(x60701),f315(f315(f73(a1),x60702),f315(f72(a1),x60703))))
% 201.32/201.09 [6130]E(x61301,f2(a893))+E(f315(f315(f29(a893),f315(f315(f74(a893),x61301),x61302)),f315(f315(f74(a893),x61301),x61303)),f315(f315(f29(a893),x61302),x61303))
% 201.32/201.09 [6160]E(f141(x61601,f315(f315(f140(x61601),x61602),x61603)),f315(f315(f140(x61601),x61602),f141(x61601,x61603)))+P107(f315(f315(f317(x61601),x61602),f315(f161(x61601),x61603)))
% 201.32/201.09 [6197]P150(x61971,x61972,x61973)+~P107(f315(x61971,f315(f315(f29(a1),x61972),x61973)))
% 201.32/201.09 [6273]E(x62731,f102(x62732))+E(f315(f315(f140(x62732),f315(f130(x62732),x62731)),f315(f315(f164(x62732),x62733),f315(f160(x62732),x62731))),f315(f315(f164(x62732),f315(a101,x62733)),x62731))
% 201.32/201.09 [6281]E(f315(f315(f3(f901(x62811,a891)),x62812),x62813),x62812)+~E(f315(f315(f90(f901(x62811,a891)),x62812),x62813),f177(f901(x62811,a891)))
% 201.32/201.09 [6295]E(f141(x62951,f315(f315(f140(x62951),x62952),x62953)),f141(x62951,x62953))+~P107(f315(f315(f317(x62951),x62952),f315(f161(x62951),x62953)))
% 201.32/201.09 [6325]~P107(f315(f315(f223(a893),x63251),x63253))+P107(f315(f315(f223(a893),x63251),f315(f315(f73(a893),x63252),x63253)))
% 201.32/201.09 [6327]~P107(f315(f315(f223(a893),x63271),x63272))+P107(f315(f315(f223(a893),x63271),f315(f315(f73(a893),x63272),x63273)))
% 201.32/201.09 [6329]~P107(f315(f315(f224(a893),x63291),x63293))+P107(f315(f315(f224(a893),x63291),f315(f315(f73(a893),x63292),x63293)))
% 201.32/201.09 [6331]~P107(f315(f315(f224(a893),x63311),x63312))+P107(f315(f315(f224(a893),x63311),f315(f315(f73(a893),x63312),x63313)))
% 201.32/201.09 [6371]P107(f315(f54(x63711),x63712))+~P107(f315(f54(x63711),f315(f315(f297(x63711),x63713),x63712)))
% 201.32/201.09 [6372]P107(f315(f126(x63721),x63722))+~P107(f315(f126(x63721),f315(f315(f140(x63721),x63723),x63722)))
% 201.32/201.09 [6373]P107(f315(f126(x63731),x63732))+~P107(f315(f126(x63731),f315(f315(f123(x63731),x63733),x63732)))
% 201.32/201.09 [6374]P107(f315(f126(x63741),x63742))+~P107(f315(f126(x63741),f315(f315(f123(x63741),x63742),x63743)))
% 201.32/201.09 [6428]~P113(x64281)+E(f315(f315(f73(x64281),x64282),f315(f315(f74(x64281),x64283),x64282)),f315(f315(f74(x64281),f315(f315(f73(x64281),x64283),f71(x64281))),x64282))
% 201.32/201.09 [6475]~E(x64751,x64752)+~P107(f315(f315(f224(f901(x64753,a891)),x64751),x64752))
% 201.32/201.09 [6521]P107(f315(f315(f317(x65211),x65212),x65213))+P107(f315(f315(f317(x65211),x65212),f315(f72(f901(x65211,a891)),x65213)))
% 201.32/201.09 [6527]E(f133(x65271,f315(f315(f127(x65271),x65272),x65273)),f133(x65271,x65273))+~P107(f315(f315(f224(a893),x65272),f315(f178(f894(x65271)),x65273)))
% 201.32/201.09 [6528]E(f315(f315(f164(x65281),x65282),f103(x65281,x65283)),f315(f315(f164(x65281),x65282),x65283))+~P107(f315(f315(f224(a893),x65282),f315(f178(f894(x65281)),x65283)))
% 201.32/201.09 [6587]E(f315(f315(f315(f172(f894(x65871),f894(x65871)),x65872),f156(x65871)),x65873),x65873)+~E(f38(a893,x65872,f315(f178(f894(x65871)),x65873)),f2(a893))
% 201.32/201.09 [6594]~P8(x65941,x65943,x65942)+E(f315(f315(f277(x65941,x65941,x65941),f315(f274(x65941,x65941),x65942)),x65942),x65942)
% 201.32/201.09 [6637]~E(f315(f315(f99(f901(x66371,a891)),x66372),x66373),x66373)+P107(f315(f315(f223(f901(x66371,a891)),x66372),x66373))
% 201.32/201.09 [6642]~P56(x66421,x66421,x66423)+P56(x66421,x66421,f315(f315(f172(f900(x66421,x66421),a891),x66422),x66423))
% 201.32/201.09 [6645]~P107(f315(f315(f317(x66451),x66453),f315(f161(x66451),x66452)))+P107(f315(f315(f224(a893),f2(a893)),f315(f178(f894(x66451)),x66452)))
% 201.32/201.09 [6673]~P88(x66731)+E(f315(f69(x66731),f315(f315(f73(x66731),f315(f69(x66731),x66732)),f315(f69(x66731),x66733))),f315(f315(f73(x66731),f315(f69(x66731),x66732)),f315(f69(x66731),x66733)))
% 201.32/201.09 [6684]E(f315(f315(f29(a893),f315(f315(f74(a893),x66841),x66842)),f315(f315(f74(a893),x66841),x66843)),f315(f315(f29(a893),x66842),x66843))+~P107(f315(f315(f224(a893),f2(a893)),x66841))
% 201.32/201.09 [6827]~P107(f315(f54(x68271),x68273))+E(f315(f315(f57(x68271,f901(x68271,a891),f297(x68271)),x68272),x68273),f315(f315(f99(f901(x68271,a891)),x68273),x68272))
% 201.32/201.09 [6886]E(f315(f315(f99(f901(x68861,a891)),x68862),x68863),x68862)+~P107(f315(f315(f223(f901(x68861,a891)),x68863),x68862))
% 201.32/201.09 [6888]E(f315(f315(f99(f901(x68881,a891)),x68882),x68883),x68883)+~P107(f315(f315(f223(f901(x68881,a891)),x68882),x68883))
% 201.32/201.09 [6889]E(f315(f315(f90(f901(x68891,a891)),x68892),x68893),x68893)+~P107(f315(f315(f223(f901(x68891,a891)),x68893),x68892))
% 201.32/201.09 [6890]E(f315(f315(f90(f901(x68901,a891)),x68902),x68903),x68902)+~P107(f315(f315(f223(f901(x68901,a891)),x68902),x68903))
% 201.32/201.09 [6939]~P107(f315(f126(x69391),x69392))+E(f315(f315(f3(f901(x69391,a891)),f315(f161(x69391),x69392)),f315(f315(f297(x69391),x69393),f177(f901(x69391,a891)))),f315(f161(x69391),f159(x69391,x69393,x69392)))
% 201.32/201.09 [6994]P39(x69941,x69942)+~P39(x69941,f315(f315(f172(f900(x69941,x69941),a891),x69943),x69942))
% 201.32/201.09 [7011]~E(x70111,f2(a893))+P107(f315(f315(f275(a893),f315(f315(f74(a893),x70111),x70112)),f315(f315(f74(a893),x70111),x70113)))
% 201.32/201.09 [7062]P107(f315(f42(x70621,x70622),f315(a44,x70623)))+~P107(f315(f42(f315(f72(a1),x70621),f315(f72(a1),x70622)),x70623))
% 201.32/201.09 [7067]E(f315(f315(f3(f901(x70671,a891)),f315(f315(f297(x70671),x70672),x70673)),f315(f315(f297(x70671),x70672),f177(f901(x70671,a891)))),x70673)+P107(f315(f315(f317(x70671),x70672),x70673))
% 201.32/201.09 [7090]E(f315(f315(f90(f901(x70901,a891)),f315(f161(x70901),x70902)),f315(f161(x70901),x70903)),f177(f901(x70901,a891)))+~P107(f315(f126(x70901),f315(f315(f123(x70901),x70902),x70903)))
% 201.32/201.09 [7105]~P107(f315(f315(f317(x71051),x71052),f315(f161(x71051),x71053)))+~P107(f315(f126(x71051),f315(f315(f140(x71051),x71052),x71053)))
% 201.32/201.09 [7177]P33(x71771,x71772,x71773)+P107(f315(f315(f224(a893),f737(x71773,x71772,x71771)),f315(f178(f894(x71771)),x71773)))
% 201.32/201.09 [7187]E(f315(f315(f90(f901(x71871,a891)),x71872),x71873),f177(f901(x71871,a891)))+P107(f315(f315(f317(x71871),f529(x71873,x71872,x71871)),x71872))
% 201.32/201.09 [7188]E(f315(f315(f90(f901(x71881,a891)),x71882),x71883),f177(f901(x71881,a891)))+P107(f315(f315(f317(x71881),f550(x71883,x71882,x71881)),x71883))
% 201.32/201.09 [7191]E(f103(x71911,f315(f315(f164(x71911),x71912),x71913)),f315(f315(f164(x71911),f315(f315(f3(a893),x71912),f71(a893))),x71913))+~P107(f315(f315(f223(a893),x71912),f315(f178(f894(x71911)),x71913)))
% 201.32/201.09 [7251]~P35(x72513,x72512,x72511)+P107(f315(f315(f224(a893),f732(x72511,x72512,x72513)),f315(f178(f894(x72513)),x72511)))
% 201.32/201.09 [7271]P107(f315(f315(f224(a893),f2(a893)),x72711))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x72712),x72711)),f315(f315(f74(a893),x72713),x72711)))
% 201.32/201.09 [7272]P107(f315(f315(f224(a893),f2(a893)),x72721))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x72721),x72722)),f315(f315(f74(a893),x72721),x72723)))
% 201.32/201.09 [7275]~P107(f315(f315(f317(x72751),x72752),x72753))+~P107(f315(f315(f317(x72751),x72752),f315(f72(f901(x72751,a891)),x72753)))
% 201.32/201.09 [7281]~P107(f315(f315(f224(f901(x72811,a891)),x72812),x72813))+P107(f315(f315(f223(f901(x72811,a891)),x72812),x72813))
% 201.32/201.09 [7389]~P107(f315(f315(f223(a893),x73893),x73892))+P107(f315(f315(f223(a893),f315(f315(f3(a893),x73891),x73892)),f315(f315(f3(a893),x73891),x73893)))
% 201.32/201.09 [7390]~P107(f315(f315(f223(a893),x73901),x73903))+P107(f315(f315(f223(a893),f315(f315(f3(a893),x73901),x73902)),f315(f315(f3(a893),x73903),x73902)))
% 201.32/201.09 [7392]~P107(f315(f315(f223(a893),x73922),x73923))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x73921),x73922)),f315(f315(f74(a893),x73921),x73923)))
% 201.32/201.09 [7394]~P107(f315(f315(f223(a893),x73941),x73943))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x73941),x73942)),f315(f315(f74(a893),x73943),x73942)))
% 201.32/201.09 [7395]~P107(f315(f315(f223(a893),x73952),x73953))+P107(f315(f315(f223(a893),f315(f315(f73(a893),x73951),x73952)),f315(f315(f73(a893),x73951),x73953)))
% 201.32/201.09 [7396]~P107(f315(f315(f223(a893),x73961),x73963))+P107(f315(f315(f223(a893),f315(f315(f73(a893),x73961),x73962)),f315(f315(f73(a893),x73963),x73962)))
% 201.32/201.09 [7397]~P107(f315(f315(f223(a893),x73971),x73973))+P107(f315(f315(f223(a893),f315(f315(f29(a893),x73971),x73972)),f315(f315(f29(a893),x73973),x73972)))
% 201.32/201.09 [7398]~P107(f315(f315(f223(a1),x73982),x73983))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x73981),x73982)),f315(f315(f73(a1),x73981),x73983)))
% 201.32/201.09 [7401]~P107(f315(f315(f224(a893),x74012),x74013))+P107(f315(f315(f224(a893),f315(f315(f73(a893),x74011),x74012)),f315(f315(f73(a893),x74011),x74013)))
% 201.32/201.09 [7402]~P107(f315(f315(f224(a893),x74021),x74023))+P107(f315(f315(f224(a893),f315(f315(f73(a893),x74021),x74022)),f315(f315(f73(a893),x74023),x74022)))
% 201.32/201.09 [7403]~P107(f315(f315(f224(a1),x74031),x74033))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x74031),x74032)),f315(f315(f73(a1),x74033),x74032)))
% 201.32/201.09 [7406]~P107(f315(f315(f275(a893),x74062),x74063))+P107(f315(f315(f275(a893),f315(f315(f74(a893),x74061),x74062)),f315(f315(f74(a893),x74061),x74063)))
% 201.32/201.09 [7484]E(x74841,x74842)+~P107(f315(f315(f317(x74843),x74841),f315(f315(f297(x74843),x74842),f177(f901(x74843,a891)))))
% 201.32/201.09 [7486]~E(f315(f315(f90(f901(x74861,a891)),x74862),x74863),f177(f901(x74861,a891)))+P107(f315(f315(f223(f901(x74861,a891)),x74862),f315(f72(f901(x74861,a891)),x74863)))
% 201.32/201.09 [7491]P107(f315(f315(f317(f901(x74911,a891)),x74912),f315(f296(x74911),x74913)))+~P107(f315(f315(f223(f901(x74911,a891)),x74912),x74913))
% 201.32/201.09 [7542]E(f315(f315(f140(x75421),f315(f315(f153(x75421),x75422),x75423)),f315(f315(f127(x75421),f315(a101,x75423)),x75422)),f315(f315(f127(x75421),x75423),x75422))+~P107(f315(f315(f224(a893),x75423),f315(f178(f894(x75421)),x75422)))
% 201.32/201.09 [7568]P107(f315(f315(f317(f900(x75681,x75681)),x75682),f295(x75681,x75683)))+~P107(f315(f315(f317(f900(x75681,x75681)),x75682),x75683))
% 201.32/201.09 [7577]~P107(f315(f315(f317(f901(x75771,a891)),x75772),f315(f296(x75771),x75773)))+P107(f315(f315(f223(f901(x75771,a891)),x75772),x75773))
% 201.32/201.09 [7620]P107(f315(f315(f223(f901(x76201,a891)),x76202),f30(f901(x76201,a891),x76203)))+~P107(f315(f315(f317(f901(x76201,a891)),x76202),x76203))
% 201.32/201.09 [7645]~P144(x76451)+E(f315(f315(f74(x76451),f315(f315(f232(x76451),f315(f72(x76451),f71(x76451))),x76452)),f315(f315(f232(x76451),x76453),x76452)),f315(f315(f232(x76451),f315(f72(x76451),x76453)),x76452))
% 201.32/201.09 [7667]E(f315(f315(f153(x76671),x76672),f315(f315(f3(a893),f315(f178(f894(x76671)),x76672)),f315(a101,x76673))),f315(f315(f153(x76671),f315(f157(x76671),x76672)),x76673))+~P107(f315(f315(f224(a893),x76673),f315(f178(f894(x76671)),x76672)))
% 201.32/201.09 [7684]~E(f315(f315(f90(f901(x76841,a891)),f654(x76843,x76842,x76841)),x76843),f177(f901(x76841,a891)))+E(f315(f315(f90(f901(x76841,a891)),f30(f901(x76841,a891),x76842)),x76843),f177(f901(x76841,a891)))
% 201.32/201.09 [7748]~P107(f315(f315(f317(x77483),x77482),f315(f161(x77483),x77481)))+P107(f315(f315(f224(a893),f631(x77481,x77482,x77483)),f315(f178(f894(x77483)),x77481)))
% 201.32/201.09 [7756]P107(f315(f315(f317(x77561),f315(f315(f153(x77561),x77562),x77563)),f315(f161(x77561),x77562)))+~P107(f315(f315(f224(a893),x77563),f315(f178(f894(x77561)),x77562)))
% 201.32/201.09 [7854]~P107(f315(x78542,f696(x78543,x78542,x78541)))+E(f315(f315(f127(x78541),f315(f178(f894(x78541)),f166(x78541,x78542,x78543))),x78543),f102(x78541))
% 201.32/201.09 [7867]P107(f315(f315(f223(f901(f894(x78671),a891)),f150(x78671,x78672)),f150(x78671,x78673)))+~P107(f315(f315(f223(f901(x78671,a891)),x78672),x78673))
% 201.32/201.09 [7868]P107(f315(f315(f223(f901(f894(x78681),a891)),f149(x78681,x78682)),f149(x78681,x78683)))+~P107(f315(f315(f223(f901(x78681,a891)),x78682),x78683))
% 201.32/201.09 [7894]E(f315(f315(f90(f901(x78941,a891)),f30(f901(x78941,a891),x78942)),x78943),f177(f901(x78941,a891)))+P107(f315(f315(f317(f901(x78941,a891)),f654(x78943,x78942,x78941)),x78942))
% 201.32/201.09 [7896]~P107(f315(f315(f317(f901(x78961,a891)),x78963),x78962))+P107(f315(f315(f223(f901(x78961,a891)),f31(f901(x78961,a891),x78962)),x78963))
% 201.32/201.09 [7898]E(f315(f315(f90(f901(x78981,a891)),x78982),x78983),f177(f901(x78981,a891)))+~P107(f315(f315(f223(f901(x78981,a891)),x78982),f315(f72(f901(x78981,a891)),x78983)))
% 201.32/201.09 [7947]E(f315(f315(f3(a893),f315(f315(f73(a893),f315(f154(a893),x79471)),x79472)),f315(f315(f153(a893),x79471),x79473)),f315(f154(a893),f315(f315(f148(a893,x79471),x79473),x79472)))+~P107(f315(f315(f224(a893),x79473),f315(f178(f894(a893)),x79471)))
% 201.32/201.09 [7998]P107(f315(f315(f223(a893),x79981),x79982))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x79983),x79981)),f315(f315(f73(a893),x79983),x79982)))
% 201.32/201.09 [8001]P107(f315(f315(f224(a893),x80011),x80012))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),x80013),x80011)),f315(f315(f73(a893),x80013),x80012)))
% 201.32/201.09 [8002]P107(f315(f315(f224(a893),x80021),x80022))+~P107(f315(f315(f224(a893),f315(f315(f74(a893),x80023),x80021)),f315(f315(f74(a893),x80023),x80022)))
% 201.32/201.09 [8003]P107(f315(f315(f224(a893),x80031),x80032))+~P107(f315(f315(f224(a893),f315(f315(f74(a893),x80031),x80033)),f315(f315(f74(a893),x80032),x80033)))
% 201.32/201.09 [8032]P107(f315(f315(f224(a893),f2(a893)),x80321))+~P107(f315(f315(f224(a893),f315(f315(f74(a893),x80322),x80321)),f315(f315(f74(a893),x80323),x80321)))
% 201.32/201.09 [8033]P107(f315(f315(f224(a893),f2(a893)),x80331))+~P107(f315(f315(f224(a893),f315(f315(f74(a893),x80331),x80332)),f315(f315(f74(a893),x80331),x80333)))
% 201.32/201.09 [8106]E(f235(x81061,x81062,x81063),x81062)+~P107(f315(f315(f223(f901(x81061,a891)),x81063),f315(f315(f297(x81061),x81062),f177(f901(x81061,a891)))))
% 201.32/201.09 [8156]~P107(f315(f126(x81561),x81563))+E(f315(f125(x81561,f315(f315(f10(a891,a891,x81561),a310),f315(a312,x81562))),x81563),f159(x81561,x81562,x81563))
% 201.32/201.09 [8181]E(f315(f315(f127(x81811),f315(f178(f894(x81811)),f166(x81811,x81812,x81813))),x81813),f102(x81811))+P107(f315(f315(f317(x81811),f696(x81813,x81812,x81811)),f315(f161(x81811),x81813)))
% 201.32/201.09 [8185]E(f315(f315(f123(x81851),f315(f315(f164(x81851),x81852),x81853)),f315(f315(f140(x81851),f315(f315(f153(x81851),x81853),x81852)),f102(x81851))),f315(f315(f164(x81851),f315(a101,x81852)),x81853))+~P107(f315(f315(f224(a893),x81852),f315(f178(f894(x81851)),x81853)))
% 201.32/201.09 [8252]E(f315(f125(x82521,f315(f315(f10(a891,a891,x82521),a310),f315(a312,x82522))),x82523),x82523)+P107(f315(f315(f317(x82521),x82522),f315(f161(x82521),x82523)))
% 201.32/201.09 [8258]P107(f315(f315(f223(f901(f901(x82581,a891),a891)),f236(x82581,x82582)),f236(x82581,x82583)))+~P107(f315(f315(f223(f901(x82581,a891)),x82582),x82583))
% 201.32/201.09 [8297]~P107(f315(f126(x82971),x82973))+P107(f315(f126(x82971),f315(f315(f315(f172(f894(x82971),f894(x82971)),x82972),f156(x82971)),x82973)))
% 201.32/201.09 [8303]~P107(f315(f315(f224(a893),x83032),x83033))+P107(f315(f315(f224(a893),f315(f315(f74(a893),f315(a101,x83031)),x83032)),f315(f315(f74(a893),f315(a101,x83031)),x83033)))
% 201.32/201.09 [8323]P107(f315(f315(f223(f901(f901(x83231,a891),a891)),f315(f296(x83231),x83232)),f315(f296(x83231),x83233)))+~P107(f315(f315(f223(f901(x83231,a891)),x83232),x83233))
% 201.32/201.09 [8392]~E(f315(f298(x83921,x83922,x83923),f230(f901(x83921,a891))),f230(f901(x83922,a891)))+E(f315(f66(x83921,x83922,x83922,x83923),f84(x83921,x83922,f230(f901(x83921,a891)),x83923)),f25(x83922))
% 201.32/201.09 [8486]~P107(f315(f315(f223(f901(x84861,a891)),x84863),x84862))+P107(f315(f315(f223(f901(x84861,a891)),f315(f72(f901(x84861,a891)),x84862)),f315(f72(f901(x84861,a891)),x84863)))
% 201.32/201.09 [8520]E(f315(f298(a893,a893,f315(f315(f9(a893,a893,a893),f3(a893)),x85201)),f315(f290(a893,x85202),x85203)),f315(f290(a893,f315(f315(f3(a893),x85202),x85201)),f315(f315(f3(a893),x85203),x85201)))+~P107(f315(f315(f224(a893),x85201),x85203))
% 201.32/201.09 [8546]~P85(x85461)+E(f315(f315(f73(x85461),x85462),f315(f131(x85461,x85461,f73(x85461),f2(x85461)),x85463)),f315(f131(x85461,x85461,f73(x85461),x85462),x85463))
% 201.32/201.09 [8622]~P88(x86221)+P107(f315(f315(f223(x86221),f315(f69(x86221),f315(f315(f3(x86221),x86222),x86223))),f315(f315(f73(x86221),f315(f69(x86221),x86222)),f315(f69(x86221),x86223))))
% 201.32/201.09 [8623]~P88(x86231)+P107(f315(f315(f223(x86231),f315(f69(x86231),f315(f315(f73(x86231),x86232),x86233))),f315(f315(f73(x86231),f315(f69(x86231),x86232)),f315(f69(x86231),x86233))))
% 201.32/201.09 [8634]E(f315(f315(f73(a1),f315(f315(f74(a1),x86341),f38(a1,f315(f315(f29(a1),x86342),x86341),x86343))),f38(a1,x86342,x86341)),f38(a1,x86342,f315(f315(f74(a1),x86341),x86343)))+~P107(f315(f315(f224(a1),f2(a1)),x86343))
% 201.32/201.09 [8640]E(f315(f315(f123(x86401),f315(f315(f164(x86401),x86402),x86403)),f315(f315(f140(x86401),f315(f130(x86401),f315(f315(f127(x86401),x86402),x86403))),f102(x86401))),f315(f315(f164(x86401),f315(a101,x86402)),x86403))+~P107(f315(f315(f224(a893),x86402),f315(f178(f894(x86401)),x86403)))
% 201.32/201.09 [8660]E(f315(f256(x86601,f315(f315(f143(x86601,f900(a88,x86601)),f315(f240(a88,x86601),f71(a88))),x86602)),f315(a5,x86603)),f315(f315(f153(x86601),x86602),x86603))+~P107(f315(f315(f224(a893),x86603),f315(f178(f894(x86601)),x86602)))
% 201.32/201.09 [8728]P107(f315(f315(f317(f900(x87281,x87281)),x87282),f315(f315(f277(x87281,x87281,x87281),x87283),f295(x87281,x87283))))+~P107(f315(f315(f317(f900(x87281,x87281)),x87282),x87283))
% 201.32/201.09 [8740]E(f315(f298(x87401,x87402,x87403),f230(f901(x87401,a891))),f230(f901(x87402,a891)))+~E(f315(f66(x87401,x87402,x87402,x87403),f84(x87401,x87402,f230(f901(x87401,a891)),x87403)),f25(x87402))
% 201.32/201.09 [8749]P107(f315(f315(f223(a893),x87491),x87492))+~P107(f315(f315(f223(a893),f315(f315(f74(a893),f315(a101,x87493)),x87491)),f315(f315(f74(a893),f315(a101,x87493)),x87492)))
% 201.32/201.09 [8765]P107(f315(f315(f223(f901(x87651,a891)),x87652),x87653))+~P107(f315(f315(f223(f901(x87651,a891)),f315(f72(f901(x87651,a891)),x87653)),f315(f72(f901(x87651,a891)),x87652)))
% 201.32/201.09 [8788]P107(f315(f126(x87881),x87882))+~P107(f315(f126(x87881),f315(f315(f315(f172(f894(x87881),f894(x87881)),x87883),f156(x87881)),x87882)))
% 201.32/201.09 [8861]E(f315(f273(x88611,x88611,f295(x88611,x88612)),x88613),x88613)+~P107(f315(f315(f223(f901(x88611,a891)),f315(f273(x88611,x88611,x88612),x88613)),x88613))
% 201.32/201.09 [8909]~P110(x89091)+P13(x89091,f315(f125(x89091,f315(f315(f9(x89091,x89091,a891),a312),f315(x89092,x89093))),x89093))
% 201.32/201.09 [8916]~P107(f315(f315(f223(a893),x89161),x89162))+P107(f315(f315(f223(a893),x89161),f315(f131(a893,a893,f73(a893),x89162),x89163)))
% 201.32/201.09 [9002]~P107(f315(f315(f317(f900(x90021,x90021)),x90022),f295(x90021,x90023)))+P107(f315(f315(f317(f900(x90021,x90021)),x90022),f315(f315(f172(f900(x90021,x90021),a891),f598(x90023,x90022,x90021)),x90023)))
% 201.32/201.09 [9083]~P85(x90831)+E(f315(f315(f73(x90831),x90832),f315(f131(x90831,x90831,f315(f9(x90831,x90831,x90831),f73(x90831)),f2(x90831)),f315(f157(x90831),x90833))),f315(f131(x90831,x90831,f73(x90831),x90832),x90833))
% 201.32/201.09 [9200]~P27(x92002,x92001,x92003,f230(f901(x92002,a891)),f230(f901(x92001,a891)))+E(f84(x92001,x92002,f230(f901(x92001,a891)),f84(x92002,x92001,f230(f901(x92002,a891)),x92003)),x92003)
% 201.32/201.09 [9355]P56(x93551,x93552,x93553)+P107(f315(f315(f317(f900(x93551,x93552)),f315(f315(f240(x93551,x93552),f599(x93553,x93552,x93551)),f597(x93553,x93552,x93551))),x93553))
% 201.32/201.09 [9356]P56(x93561,x93562,x93563)+P107(f315(f315(f317(f900(x93561,x93562)),f315(f315(f240(x93561,x93562),f599(x93563,x93562,x93561)),f596(x93563,x93562,x93561))),x93563))
% 201.32/201.09 [9426]~P107(f315(f315(f317(f900(x94261,x94261)),x94262),f315(f315(f277(x94261,x94261,x94261),x94263),f295(x94261,x94263))))+P107(f315(f315(f317(f900(x94261,x94261)),x94262),f315(f315(f172(f900(x94261,x94261),a891),f602(x94263,x94262,x94261)),x94263)))
% 201.32/201.09 [9427]~P107(f315(x94271,f315(f315(f153(x94272),x94273),f315(f178(f894(x94272)),f166(x94272,x94271,x94273)))))+~P107(f315(f315(f224(a893),f315(f178(f894(x94272)),f166(x94272,x94271,x94273))),f315(f178(f894(x94272)),x94273)))
% 201.32/201.09 [9518]~P107(f315(f315(f223(f901(x95181,a891)),x95182),x95183))+P107(f315(f315(f223(f901(x95181,a891)),f315(f315(f9(x95181,f901(x95181,a891),a891),f317(x95181)),x95182)),f315(f315(f9(x95181,f901(x95181,a891),a891),f317(x95181)),x95183)))
% 201.32/201.09 [9580]~P107(f315(f315(f317(f900(f901(x95801,a891),f901(x95801,a891))),f315(f315(f240(f901(x95801,a891),f901(x95801,a891)),x95802),x95803)),f302(x95801)))+P107(f315(f315(f224(f901(x95801,a891)),x95802),x95803))
% 201.32/201.09 [9608]P57(x96081,x96082,x96083)+~P107(f315(f315(f317(f900(x96081,x96081)),f315(f315(f240(x96081,x96081),f576(x96083,x96082,x96081)),f575(x96083,x96082,x96081))),x96083))
% 201.32/201.09 [9609]P57(x96091,x96092,x96093)+~P107(f315(f315(f317(f900(x96091,x96091)),f315(f315(f240(x96091,x96091),f575(x96093,x96092,x96091)),f576(x96093,x96092,x96091))),x96093))
% 201.32/201.09 [9646]~P107(f315(f315(f317(f900(f894(x96461),f894(x96461))),f315(f315(f240(f894(x96461),f894(x96461)),x96462),x96462)),f136(x96461,x96463)))+P107(f315(f315(f317(f900(x96461,x96461)),f315(f315(f240(x96461,x96461),f625(x96462,x96463,x96461)),f625(x96462,x96463,x96461))),x96463))
% 201.32/201.09 [9696]P107(f315(f315(f223(f901(x96961,a891)),x96962),x96963))+~P107(f315(f315(f223(f901(x96961,a891)),f315(f315(f9(x96961,f901(x96961,a891),a891),f317(x96961)),x96962)),f315(f315(f9(x96961,f901(x96961,a891),a891),f317(x96961)),x96963)))
% 201.32/201.09 [9777]E(f315(f315(f3(a893),f315(f315(f8(a893,a893),x97771),f315(f270(a893),x97772))),f315(f315(f8(a893,a893),x97773),f315(f270(a893),x97772))),f315(f315(f8(a893,a893),f315(f315(f20(a893,a893,a893),f315(f315(f10(a893,f901(a893,a893),a893),f3(a893)),x97771)),x97773)),f315(f270(a893),x97772)))+~P107(f315(f315(f223(a893),f315(x97773,f395(x97772,x97771,x97773))),f315(x97771,f395(x97772,x97771,x97773))))
% 201.32/201.09 [5708]~P77(x57081)+E(f315(f315(f3(x57081),f315(f315(f73(x57081),x57082),x57083)),x57083),x57082)
% 201.32/201.09 [5709]~P77(x57091)+E(f315(f315(f73(x57091),f315(f315(f3(x57091),x57092),x57093)),x57093),x57092)
% 201.32/201.09 [5943]~P77(x59431)+E(f315(f315(f73(x59431),x59432),f315(f315(f73(x59431),f315(f72(x59431),x59432)),x59433)),x59433)
% 201.32/201.09 [6031]~P84(x60311)+E(f315(f315(f74(x60311),f315(f315(f232(x60311),x60312),x60313)),x60312),f315(f315(f232(x60311),x60312),f315(a101,x60313)))
% 201.32/201.09 [6032]~P113(x60321)+E(f315(f315(f74(x60321),f315(f315(f232(x60321),x60322),x60323)),x60322),f315(f315(f232(x60321),x60322),f315(a101,x60323)))
% 201.32/201.09 [6257]~P120(x62571)+E(f315(f69(x62571),f315(f315(f232(x62571),f315(f72(x62571),x62572)),x62573)),f315(f69(x62571),f315(f315(f232(x62571),x62572),x62573)))
% 201.32/201.09 [6304]~P84(x63041)+E(f315(f315(f74(x63041),f315(f315(f232(x63041),x63042),x63043)),x63042),f315(f315(f74(x63041),x63042),f315(f315(f232(x63041),x63042),x63043)))
% 201.32/201.09 [6362]E(f315(f315(f3(a88),f315(f315(f73(a88),x63621),x63622)),x63623),f262(x63621,x63622,x63623))+~P107(f315(f315(f224(a88),x63622),x63623))
% 201.32/201.09 [6386]~E(f315(f315(f127(x63861),x63863),x63862),f102(x63861))+P107(f315(f315(f223(a893),f315(f178(f894(x63861)),x63862)),x63863))
% 201.32/201.09 [6526]E(f315(f315(f74(a893),f315(f92(a893),x65261)),f315(f315(f74(a893),f315(f92(a893),x65262)),x65263)),f2(a893))+~P107(f315(f315(f224(a1),x65261),a76))
% 201.32/201.09 [6542]~P65(x65421)+E(f315(f315(f232(x65421),f315(f315(f279(x65421),f71(x65421)),x65422)),x65423),f315(f315(f279(x65421),f71(x65421)),f315(f315(f232(x65421),x65422),x65423)))
% 201.32/201.09 [6623]E(f315(f315(f3(a893),f315(f315(f73(a893),x66231),x66232)),x66233),f315(f315(f3(a893),x66231),f315(f315(f3(a893),x66233),x66232)))+~P107(f315(f315(f223(a893),x66232),x66233))
% 201.32/201.09 [6625]E(f315(f315(f3(a893),f315(f315(f73(a893),x66251),x66252)),x66253),f315(f315(f73(a893),x66251),f315(f315(f3(a893),x66252),x66253)))+~P107(f315(f315(f223(a893),x66253),x66252))
% 201.32/201.09 [6664]~P80(x66641)+P107(f315(f315(f223(x66641),f315(f315(f90(x66641),x66642),x66643)),x66643))
% 201.32/201.09 [6665]~P103(x66651)+P107(f315(f315(f223(x66651),f315(f315(f90(x66651),x66652),x66653)),x66653))
% 201.32/201.09 [6666]~P80(x66661)+P107(f315(f315(f223(x66661),f315(f315(f90(x66661),x66662),x66663)),x66662))
% 201.32/201.09 [6667]~P103(x66671)+P107(f315(f315(f223(x66671),f315(f315(f90(x66671),x66672),x66673)),x66672))
% 201.32/201.09 [6668]~P110(x66681)+P107(f315(f315(f223(x66681),f315(f315(f221(x66681),x66682),x66683)),x66683))
% 201.32/201.09 [6669]~P110(x66691)+P107(f315(f315(f223(x66691),f315(f315(f221(x66691),x66692),x66693)),x66692))
% 201.32/201.09 [6683]E(f315(f315(f29(a1),f315(f315(f29(a1),x66831),x66832)),x66833),f315(f315(f29(a1),x66831),f315(f315(f74(a1),x66832),x66833)))+~P107(f315(f315(f224(a1),f2(a1)),x66833))
% 201.32/201.09 [6737]~P113(x67371)+E(f315(f315(f73(x67371),f315(f315(f74(x67371),x67372),x67373)),x67373),f315(f315(f74(x67371),f315(f315(f73(x67371),x67372),f71(x67371))),x67373))
% 201.32/201.09 [6738]~P97(x67381)+E(f315(f315(f74(x67381),f315(f72(x67381),f315(f92(x67381),x67382))),x67383),f315(f315(f74(x67381),f315(f92(x67381),f315(f72(a1),x67382))),x67383))
% 201.32/201.09 [6811]~P85(x68111)+E(f315(f154(x68111),f315(f315(f143(x68112,x68111),f315(f18(x68111,x68112),f2(x68111))),x68113)),f2(x68111))
% 201.32/201.09 [6829]E(f315(f315(f73(a893),f315(f92(a893),x68291)),f315(f315(f73(a893),f315(f92(a893),x68292)),x68293)),f315(f315(f73(a893),f315(f92(a893),x68292)),x68293))+~P107(f315(a182,f315(f92(a1),x68291)))
% 201.32/201.09 [6844]~P5(x68441)+E(f30(x68441,f315(f315(f297(x68441),x68442),f315(f315(f297(x68441),x68443),f177(f901(x68441,a891))))),f315(f315(f99(x68441),x68442),x68443))
% 201.32/201.09 [6845]~P5(x68451)+E(f31(x68451,f315(f315(f297(x68451),x68452),f315(f315(f297(x68451),x68453),f177(f901(x68451,a891))))),f315(f315(f90(x68451),x68452),x68453))
% 201.32/201.09 [6869]E(f315(f315(f164(x68691),x68692),x68693),x68693)+~P107(f315(f315(f223(a893),f315(f178(f894(x68691)),x68693)),x68692))
% 201.32/201.09 [6881]E(f315(f315(f127(x68811),x68812),x68813),f102(x68811))+~P107(f315(f315(f223(a893),f315(f178(f894(x68811)),x68813)),x68812))
% 201.32/201.09 [6892]E(f315(f315(f73(a893),f315(f315(f3(a893),x68921),x68922)),x68923),f315(f315(f3(a893),f315(f315(f73(a893),x68921),x68923)),x68922))+~P107(f315(f315(f223(a893),x68922),x68921))
% 201.32/201.09 [6906]~P107(f315(f315(f224(a893),x69061),x69063))+P107(f315(f315(f224(a893),f315(f315(f3(a893),x69061),x69062)),x69063))
% 201.32/201.09 [6933]~P110(x69331)+E(f159(x69331,x69332,f315(f315(f137(x69331,x69331,f7(x69331)),x69332),x69333)),x69333)
% 201.32/201.09 [7024]E(f315(f315(f3(a893),f315(f315(f73(a893),x70241),x70242)),f315(a101,x70243)),f315(f315(f3(a893),x70241),f315(a101,f315(f315(f3(a893),x70243),x70242))))+~P107(f315(f315(f223(a893),x70242),x70243))
% 201.32/201.09 [7025]~P120(x70251)+P107(f315(f315(f223(x70251),f2(x70251)),f315(f315(f232(x70251),f315(f69(x70251),x70252)),x70253)))
% 201.32/201.09 [7074]P25(x70741,x70742,x70743)+~P107(f315(f315(f223(f901(f892(x70741),a891)),x70743),x70742))
% 201.32/201.09 [7117]~P107(f315(f54(x71171),x71172))+P107(f315(f54(x71171),f315(f315(f3(f901(x71171,a891)),x71172),x71173)))
% 201.32/201.09 [7118]~P107(f315(f54(x71181),x71183))+P107(f315(f54(x71181),f315(f315(f90(f901(x71181,a891)),x71182),x71183)))
% 201.32/201.09 [7119]~P107(f315(f54(x71191),x71192))+P107(f315(f54(x71191),f315(f315(f90(f901(x71191,a891)),x71192),x71193)))
% 201.32/201.09 [7261]~P39(x72611,x72613)+P39(x72611,f315(f315(f90(f901(f900(x72611,x72611),a891)),x72612),x72613))
% 201.32/201.09 [7262]~P39(x72621,x72622)+P39(x72621,f315(f315(f90(f901(f900(x72621,x72621),a891)),x72622),x72623))
% 201.32/201.09 [7385]~P80(x73851)+E(f12(x73851,f315(f161(x73851),f315(f315(f140(x73851),x73852),x73853))),f315(f131(x73851,x73851,f99(x73851),x73852),x73853))
% 201.32/201.09 [7386]~P80(x73861)+E(f13(x73861,f315(f161(x73861),f315(f315(f140(x73861),x73862),x73863))),f315(f131(x73861,x73861,f90(x73861),x73862),x73863))
% 201.32/201.09 [7387]~P110(x73871)+E(f16(x73871,f315(f161(x73871),f315(f315(f140(x73871),x73872),x73873))),f315(f131(x73871,x73871,f221(x73871),x73872),x73873))
% 201.32/201.09 [7388]~P110(x73881)+E(f17(x73881,f315(f161(x73881),f315(f315(f140(x73881),x73882),x73883))),f315(f131(x73881,x73881,f222(x73881),x73882),x73883))
% 201.32/201.09 [7452]~P107(f315(f54(x74521),x74522))+P107(f315(f315(f223(a893),f315(f28(x74521),x74522)),f315(f28(x74521),f315(f315(f297(x74521),x74523),x74522))))
% 201.32/201.09 [7459]E(f315(f315(f99(f901(a893,a891)),f315(f290(a893,x74591),x74592)),f315(f290(a893,x74592),f315(f315(f73(a893),x74592),x74593))),f315(f290(a893,x74591),f315(f315(f73(a893),x74592),x74593)))+~P107(f315(f315(f223(a893),x74591),x74592))
% 201.32/201.09 [7468]P107(f315(f315(f223(a893),x74681),x74682))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x74683),x74681)),x74682))
% 201.32/201.09 [7469]P107(f315(f315(f223(a893),x74691),x74692))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x74691),x74693)),x74692))
% 201.32/201.09 [7470]P107(f315(f315(f224(a893),x74701),x74702))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),x74701),x74703)),x74702))
% 201.32/201.09 [7510]~P110(x75101)+E(f14(x75101,f221(x75101),f315(f161(x75101),f315(f315(f140(x75101),x75102),x75103))),f315(f131(x75101,x75101,f221(x75101),x75102),x75103))
% 201.32/201.09 [7511]~P110(x75111)+E(f15(x75111,f222(x75111),f315(f161(x75111),f315(f315(f140(x75111),x75112),x75113))),f315(f131(x75111,x75111,f222(x75111),x75112),x75113))
% 201.32/201.09 [7515]~E(x75152,f177(f901(f900(x75151,x75151),a891)))+P107(f315(f315(f223(f901(f900(x75151,x75151),a891)),x75152),x75153))
% 201.32/201.09 [7615]E(f315(f315(f99(f901(x76151,a891)),x76152),f315(f315(f3(f901(x76151,a891)),x76153),x76152)),x76153)+~P107(f315(f315(f223(f901(x76151,a891)),x76152),x76153))
% 201.32/201.09 [7616]~P107(f315(f315(f223(a893),x76161),f315(f315(f73(a893),x76163),x76162)))+P107(f315(f315(f223(a893),f315(f315(f3(a893),x76161),x76162)),x76163))
% 201.32/201.09 [7617]~P107(f315(f315(f224(a893),x76171),f315(f315(f3(a893),x76173),x76172)))+P107(f315(f315(f224(a893),f315(f315(f73(a893),x76171),x76172)),x76173))
% 201.32/201.09 [7674]E(x76741,f102(x76742))+E(f315(f130(x76742),f315(f315(f315(f172(f894(x76742),f894(x76742)),x76743),f156(x76742)),x76741)),f315(f315(f153(x76742),x76741),f38(a893,x76743,f315(f178(f894(x76742)),x76741))))
% 201.32/201.09 [7683]E(f315(f315(f297(x76831),x76832),f315(f315(f3(f901(x76831,a891)),x76833),f315(f315(f297(x76831),x76832),f177(f901(x76831,a891))))),x76833)+~P107(f315(f315(f317(x76831),x76832),x76833))
% 201.32/201.09 [7845]P107(f315(f315(f223(a893),x78451),f315(f315(f73(a893),x78452),x78453)))+~P107(f315(f315(f223(a893),f315(f315(f3(a893),x78451),x78453)),x78452))
% 201.32/201.09 [7846]P107(f315(f315(f224(a893),x78461),f315(f315(f3(a893),x78462),x78463)))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),x78461),x78463)),x78462))
% 201.32/201.09 [7871]P107(f315(f54(x78711),x78712))+~P107(f315(f54(x78711),f315(f315(f99(f901(x78711,a891)),x78713),x78712)))
% 201.32/201.09 [7872]P107(f315(f54(x78721),x78722))+~P107(f315(f54(x78721),f315(f315(f99(f901(x78721,a891)),x78722),x78723)))
% 201.32/201.09 [7946]~P48(x79461,x79463)+P107(f315(f315(f317(f900(x79461,x79461)),f315(f315(f240(x79461,x79461),x79462),x79462)),x79463))
% 201.32/201.09 [8079]E(f315(f315(f153(a893),f128(a893,f315(f290(a893,x80791),x80792))),x80793),f315(f315(f73(a893),x80791),x80793))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),x80791),x80793)),x80792))
% 201.32/201.09 [8145]E(f315(f315(f164(a893),x81451),f128(a893,f315(f290(a893,x81452),x81453))),f128(a893,f315(f290(a893,x81452),f315(f315(f73(a893),x81452),x81451))))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x81452),x81451)),x81453))
% 201.32/201.09 [8202]~P97(x82021)+E(f315(f315(f232(x82021),x82022),f315(f92(a893),f315(f315(f73(a1),x82023),x82023))),f315(f315(f79(x82021,x82021),f315(f315(f232(x82021),x82022),f315(f92(a893),x82023))),f315(f315(f20(x82021,x82021,x82021),f74(x82021)),f7(x82021))))
% 201.32/201.09 [8467]E(f315(f315(f123(x84671),f315(f315(f164(x84671),x84672),x84673)),f315(f315(f140(x84671),f315(f315(f153(x84671),x84673),x84672)),f315(f315(f127(x84671),f315(a101,x84672)),x84673))),x84673)+~P107(f315(f315(f224(a893),x84672),f315(f178(f894(x84671)),x84673)))
% 201.32/201.09 [8474]P107(f315(f315(f223(f901(x84741,a891)),f303(x84741,x84742)),f303(x84741,x84743)))+~P107(f315(f315(f223(f901(x84741,f901(x84741,a891))),x84743),x84742))
% 201.32/201.09 [8475]~P57(x84751,x84752,x84753)+P57(x84751,x84752,f315(f315(f3(f901(f900(x84751,x84751),a891)),x84753),f295(x84751,f177(f901(f900(x84751,x84751),a891)))))
% 201.32/201.09 [8494]P107(f315(f315(f223(f901(x84941,a891)),f304(x84941,x84942)),f304(x84941,x84943)))+~P107(f315(f315(f223(f901(f900(x84941,x84941),a891)),x84943),x84942))
% 201.32/201.09 [8501]~P128(x85011)+P107(f315(f315(f223(x85011),f2(x85011)),f315(f315(f73(x85011),f315(f315(f74(x85011),x85012),x85012)),f315(f315(f74(x85011),x85013),x85013))))
% 201.32/201.09 [8535]P107(f315(f315(f223(f901(x85351,a891)),f315(f269(x85351),x85352)),f315(f269(x85351),x85353)))+~P107(f315(f315(f223(f901(f900(x85351,x85351),a891)),x85352),x85353))
% 201.32/201.09 [8564]~P55(x85641,x85642)+~P107(f315(f315(f317(f900(x85641,x85641)),f315(f315(f240(x85641,x85641),x85643),x85643)),x85642))
% 201.32/201.09 [8566]~P39(x85661,x85662)+~P107(f315(f315(f317(f900(x85661,x85661)),f315(f315(f240(x85661,x85661),x85663),x85663)),x85662))
% 201.32/201.09 [8624]P107(f315(f315(f223(f901(x86241,a891)),f30(f901(x86241,a891),x86242)),f30(f901(x86241,a891),x86243)))+~P107(f315(f315(f223(f901(f901(x86241,a891),a891)),x86242),x86243))
% 201.32/201.09 [8625]P107(f315(f315(f223(f901(x86251,a891)),f31(f901(x86251,a891),x86252)),f31(f901(x86251,a891),x86253)))+~P107(f315(f315(f223(f901(f901(x86251,a891),a891)),x86253),x86252))
% 201.32/201.09 [8679]~P8(x86791,x86793,x86792)+P107(f315(f315(f223(f901(f900(x86791,x86791),a891)),x86792),f315(f315(f242(x86791,x86791),x86793),f315(f18(f901(x86791,a891),x86791),x86793))))
% 201.32/201.09 [8680]~P54(x86801,x86803,x86802)+P107(f315(f315(f223(f901(f900(x86801,x86801),a891)),x86802),f315(f315(f242(x86801,x86801),x86803),f315(f18(f901(x86801,a891),x86801),x86803))))
% 201.32/201.09 [8729]~P88(x87291)+P107(f315(f315(f223(x87291),f315(f315(f3(x87291),f315(f69(x87291),x87292)),f315(f69(x87291),x87293))),f315(f69(x87291),f315(f315(f3(x87291),x87293),x87292))))
% 201.32/201.09 [8730]~P88(x87301)+P107(f315(f315(f223(x87301),f315(f315(f3(x87301),f315(f69(x87301),x87302)),f315(f69(x87301),x87303))),f315(f69(x87301),f315(f315(f3(x87301),x87302),x87303))))
% 201.32/201.09 [8763]P107(f315(f315(f223(f901(f900(x87631,x87631),a891)),f295(x87631,x87632)),f295(x87631,x87633)))+~P107(f315(f315(f223(f901(f900(x87631,x87631),a891)),x87632),x87633))
% 201.32/201.09 [8874]~P26(x88742,x88741,x88743,f230(f901(x88742,a891)))+E(f315(f66(x88741,x88742,x88742,f84(x88742,x88741,f230(f901(x88742,a891)),x88743)),x88743),f25(x88742))
% 201.32/201.09 [8934]P57(x89341,x89342,x89343)+~P57(x89341,x89342,f315(f315(f3(f901(f900(x89341,x89341),a891)),x89343),f295(x89341,f177(f901(f900(x89341,x89341),a891)))))
% 201.32/201.09 [8954]P107(f315(f315(f223(f901(f900(f894(x89541),f894(x89541)),a891)),f146(x89541,x89542)),f146(x89541,x89543)))+~P107(f315(f315(f223(f901(f900(x89541,x89541),a891)),x89542),x89543))
% 201.32/201.09 [8955]P107(f315(f315(f223(f901(f900(f894(x89551),f894(x89551)),a891)),f147(x89551,x89552)),f147(x89551,x89553)))+~P107(f315(f315(f223(f901(f900(x89551,x89551),a891)),x89552),x89553))
% 201.32/201.09 [8976]~P54(x89761,x89763,x89762)+P107(f315(f315(f223(f901(f900(x89761,x89761),a891)),x89762),f315(f315(f277(x89761,x89761,x89761),f315(f274(x89761,x89761),x89762)),x89762)))
% 201.32/201.09 [9028]~P107(f315(f126(x90281),x90282))+E(f315(f125(x90281,f315(f315(f9(x90281,f901(x90281,a891),a891),f317(x90281)),f315(f161(x90281),f165(x90281,x90282,x90283)))),x90282),f165(x90281,x90282,x90283))
% 201.32/201.09 [9081]E(x90811,x90812)+~P107(f315(f315(f317(f900(x90813,x90813)),f315(f315(f240(x90813,x90813),x90811),x90812)),f295(x90813,f177(f901(f900(x90813,x90813),a891)))))
% 201.32/201.09 [9163]P107(f315(f315(f317(x91631),x91632),f304(x91631,x91633)))+P107(f315(f315(f317(f900(x91631,x91631)),f315(f315(f240(x91631,x91631),f503(x91633,x91632,x91631)),x91632)),x91633))
% 201.32/201.09 [9164]P107(f315(f315(f317(x91641),x91642),f304(x91641,x91643)))+P107(f315(f315(f317(f900(x91641,x91641)),f315(f315(f240(x91641,x91641),f581(x91643,x91642,x91641)),x91642)),x91643))
% 201.32/201.09 [9165]P107(f315(f315(f317(x91651),x91652),f304(x91651,x91653)))+P107(f315(f315(f317(f900(x91651,x91651)),f315(f315(f240(x91651,x91651),f584(x91653,x91652,x91651)),x91652)),x91653))
% 201.32/201.09 [9201]P26(x92011,x92012,x92013,f230(f901(x92011,a891)))+~E(f315(f66(x92012,x92011,x92011,f84(x92011,x92012,f230(f901(x92011,a891)),x92013)),x92013),f25(x92011))
% 201.32/201.09 [9254]~P107(f315(f315(f317(f894(x92541)),x92543),f150(x92541,x92542)))+P107(f315(f149(x92541,f315(f315(f9(x92541,f901(x92541,a891),a891),f317(x92541)),x92542)),x92543))
% 201.32/201.09 [9277]P107(f315(x92773,x92772))+E(f315(f250(x92771),f315(f315(f20(x92771,a891,a891),f315(f315(f10(a891,f901(a891,a891),x92771),a313),f315(a312,x92772))),x92773)),f177(f901(x92771,a891)))
% 201.32/201.09 [9294]~P88(x92941)+P107(f315(f315(f223(x92941),f315(f69(x92941),f315(f315(f3(x92941),f315(f69(x92941),x92942)),f315(f69(x92941),x92943)))),f315(f69(x92941),f315(f315(f3(x92941),x92942),x92943))))
% 201.32/201.09 [9308]~P107(f315(x93083,x93082))+E(f315(f250(x93081),f315(f315(f20(x93081,a891,a891),f315(f315(f10(a891,f901(a891,a891),x93081),a313),f315(a312,x93082))),x93083)),f315(f315(f297(x93081),x93082),f177(f901(x93081,a891))))
% 201.32/201.09 [9317]~P107(f315(f315(f317(f901(x93171,a891)),x93173),f315(f296(x93171),x93172)))+P107(f315(f236(x93171,f315(f315(f9(x93171,f901(x93171,a891),a891),f317(x93171)),x93172)),x93173))
% 201.32/201.09 [9354]P39(x93541,x93542)+P107(f315(f315(f317(f900(x93541,x93541)),f315(f315(f240(x93541,x93541),f315(f544(x93542,x93541),f315(a101,x93543))),f315(f544(x93542,x93541),x93543))),x93542))
% 201.32/201.09 [9495]P107(f315(f315(f317(f894(x94951)),x94952),f150(x94951,x94953)))+~P107(f315(f149(x94951,f315(f315(f9(x94951,f901(x94951,a891),a891),f317(x94951)),x94953)),x94952))
% 201.32/201.09 [9510]P107(f315(f315(f317(f901(x95101,a891)),x95102),f315(f296(x95101),x95103)))+~P107(f315(f236(x95101,f315(f315(f9(x95101,f901(x95101,a891),a891),f317(x95101)),x95103)),x95102))
% 201.32/201.09 [9575]P107(f315(f315(f317(x95751),f315(f256(x95751,x95752),x95753)),f315(f161(x95751),f315(f315(f143(f900(a88,x95751),x95751),f244(a88,x95751)),x95752))))+~P107(f315(f315(f224(a88),x95753),f315(f154(a88),f315(f315(f143(f900(a88,x95751),a88),f239(a88,x95751)),x95752))))
% 201.32/201.09 [9625]P107(f315(f315(f223(f901(f900(f894(x96251),f894(x96251)),a891)),f147(x96251,x96252)),f315(f315(f242(f894(x96251),f894(x96251)),f150(x96251,x96253)),f315(f18(f901(f894(x96251),a891),f894(x96251)),f150(x96251,x96253)))))+~P107(f315(f315(f223(f901(f900(x96251,x96251),a891)),x96252),f315(f315(f242(x96251,x96251),x96253),f315(f18(f901(x96251,a891),x96251),x96253))))
% 201.32/201.09 [9649]P107(f315(f315(f317(x96491),f315(f239(x96491,f900(a88,a88)),f315(f254(x96491,x96492),x96493))),f315(f161(x96491),f315(f315(f143(f900(a88,x96491),x96491),f244(a88,x96491)),x96492))))+~P107(f315(f315(f224(a88),f2(a88)),f315(f154(a88),f315(f315(f143(f900(a88,x96491),a88),f239(a88,x96491)),x96492))))
% 201.32/201.09 [9664]~P107(f315(f315(f223(f901(f900(x96641,x96641),a891)),x96642),f315(f315(f242(x96641,x96641),x96643),f315(f18(f901(x96641,a891),x96641),x96643))))+P107(f315(f315(f223(f901(f900(x96641,x96641),a891)),f315(f315(f277(x96641,x96641,x96641),x96642),f295(x96641,x96642))),f315(f315(f242(x96641,x96641),x96643),f315(f18(f901(x96641,a891),x96641),x96643))))
% 201.32/201.09 [9962]~P39(x99621,x99622)+~P107(f315(f315(f317(f900(x99621,x99621)),f315(f315(f240(x99621,x99621),f315(x99623,f315(a101,f545(x99622,x99621,x99623)))),f315(x99623,f545(x99622,x99621,x99623)))),x99622))
% 201.32/201.09 [9963]~P39(x99631,x99632)+~P107(f315(f315(f317(f900(x99631,x99631)),f315(f315(f240(x99631,x99631),f315(x99633,f315(a101,f589(x99633,x99632,x99631)))),f315(x99633,f589(x99633,x99632,x99631)))),x99632))
% 201.32/201.09 [10217]P107(f315(f315(f223(f901(f900(f901(x102171,a891),f901(x102171,a891)),a891)),f315(f315(f277(f901(x102171,a891),f901(x102171,a891),f901(x102171,a891)),f308(x102171,x102172)),f315(f315(f99(f901(f900(f901(x102171,a891),f901(x102171,a891)),a891)),f308(x102171,x102173)),f315(f315(f297(f900(f901(x102171,a891),f901(x102171,a891))),f315(f315(f240(f901(x102171,a891),f901(x102171,a891)),f177(f901(x102171,a891))),f177(f901(x102171,a891)))),f177(f901(f900(f901(x102171,a891),f901(x102171,a891)),a891)))))),f308(x102171,x102172)))+~P107(f315(f315(f223(f901(f900(x102171,x102171),a891)),f315(f315(f277(x102171,x102171,x102171),x102172),x102173)),x102172))
% 201.32/201.09 [10218]P107(f315(f315(f223(f901(f900(f901(x102181,a891),f901(x102181,a891)),a891)),f315(f315(f277(f901(x102181,a891),f901(x102181,a891),f901(x102181,a891)),f306(x102181,x102182)),f315(f315(f99(f901(f900(f901(x102181,a891),f901(x102181,a891)),a891)),f306(x102181,x102183)),f315(f315(f297(f900(f901(x102181,a891),f901(x102181,a891))),f315(f315(f240(f901(x102181,a891),f901(x102181,a891)),f177(f901(x102181,a891))),f177(f901(x102181,a891)))),f177(f901(f900(f901(x102181,a891),f901(x102181,a891)),a891)))))),f306(x102181,x102182)))+~P107(f315(f315(f223(f901(f900(x102181,x102181),a891)),f315(f315(f277(x102181,x102181,x102181),x102182),x102183)),x102182))
% 201.32/201.09 [7384]~P107(f315(f315(f223(a893),x73842),x73841))+E(f315(f315(f3(a893),f315(a101,f315(f315(f3(a893),x73841),x73842))),x73843),f315(f315(f3(a893),f315(a101,x73841)),f315(f315(f73(a893),x73842),x73843)))
% 201.32/201.09 [7424]~P62(x74241)+E(f315(f315(f73(x74241),f38(x74241,x74242,x74243)),f315(f315(f74(x74241),f315(f315(f29(x74241),x74242),x74243)),x74243)),x74242)
% 201.32/201.09 [7621]E(f315(f315(f74(a893),f315(f92(a893),x76211)),f315(f315(f74(a893),f315(f92(a893),x76212)),x76213)),f315(f315(f74(a893),f315(f92(a893),f315(f315(f74(a1),x76211),x76212))),x76213))+P107(f315(f315(f224(a1),x76211),a76))
% 201.32/201.09 [8088]~P107(f315(f315(f223(a893),x80883),x80882))+P107(f315(f315(f223(a893),x80881),f315(f315(f3(a893),f315(f315(f73(a893),x80882),x80881)),x80883)))
% 201.32/201.09 [8288]~P107(f315(f315(f223(a893),x82881),x82882))+E(f315(f315(f123(a893),f128(a893,f315(f290(a893,x82881),x82882))),f128(a893,f315(f290(a893,x82882),f315(f315(f73(a893),x82882),x82883)))),f128(a893,f315(f290(a893,x82881),f315(f315(f73(a893),x82882),x82883))))
% 201.32/201.09 [8543]~P107(f315(f54(x85431),x85432))+E(f315(a101,f315(f28(x85431),f315(f315(f3(f901(x85431,a891)),x85432),f315(f315(f297(x85431),x85433),f177(f901(x85431,a891)))))),f315(f28(x85431),f315(f315(f297(x85431),x85433),x85432)))
% 201.32/201.09 [8582]~P107(f315(f54(x85821),x85822))+E(f315(f315(f73(a893),f71(a893)),f315(f28(x85821),f315(f315(f3(f901(x85821,a891)),x85822),f315(f315(f297(x85821),x85823),f177(f901(x85821,a891)))))),f315(f28(x85821),f315(f315(f297(x85821),x85823),x85822)))
% 201.32/201.09 [8772]E(f315(f315(f3(a893),f315(f28(x87721),x87722)),f315(f28(x87721),f315(f315(f90(f901(x87721,a891)),x87722),x87723))),f315(f28(x87721),f315(f315(f3(f901(x87721,a891)),x87722),x87723)))+~P107(f315(f54(x87721),f315(f315(f90(f901(x87721,a891)),x87722),x87723)))
% 201.32/201.09 [9023]~P6(f315(x90232,f380(x90232,x90233,x90231)))+E(f315(f89(a1),f315(f315(f8(x90231,a893),f315(f315(f10(a1,a893,x90231),a93),x90232)),x90233)),f315(f315(f8(x90231,a1),x90232),x90233))
% 201.32/201.09 [9024]~P6(f315(x90242,f381(x90242,x90243,x90241)))+E(f315(f89(a1),f315(f315(f11(x90241,a893),f315(f315(f10(a1,a893,x90241),a93),x90242)),x90243)),f315(f315(f11(x90241,a1),x90242),x90243))
% 201.32/201.09 [9064]~P107(f315(f54(x90641),x90643))+P107(f315(f315(f223(a893),f315(f315(f3(a893),f315(f28(x90641),x90642)),f315(f28(x90641),x90643))),f315(f28(x90641),f315(f315(f3(f901(x90641,a891)),x90642),x90643))))
% 201.32/201.09 [9091]P107(f315(f315(f317(x90911),f380(x90912,x90913,x90911)),x90913))+E(f315(f89(a1),f315(f315(f8(x90911,a893),f315(f315(f10(a1,a893,x90911),a93),x90912)),x90913)),f315(f315(f8(x90911,a1),x90912),x90913))
% 201.32/201.09 [9092]P107(f315(f315(f317(x90921),f381(x90922,x90923,x90921)),x90923))+E(f315(f89(a1),f315(f315(f11(x90921,a893),f315(f315(f10(a1,a893,x90921),a93),x90922)),x90923)),f315(f315(f11(x90921,a1),x90922),x90923))
% 201.32/201.09 [9155]E(f78(x91551,f315(f315(f9(x91551,f901(x91551,a891),a891),f317(x91551)),f315(f315(f3(f901(x91551,a891)),x91552),f315(f315(f297(x91551),x91553),f177(f901(x91551,a891)))))),f235(x91551,x91553,x91552))+P107(f315(f315(f223(f901(x91551,a891)),x91552),f315(f315(f297(x91551),x91553),f177(f901(x91551,a891)))))
% 201.32/201.09 [9511]E(f315(f315(f143(f894(x95111),x95111),f315(f315(f9(f894(x95111),a893,x95111),f153(x95111)),x95112)),f315(f125(f894(x95111),f315(f315(f10(a893,a891,f894(x95111)),f315(f224(a893),x95112)),f178(f894(x95111)))),x95113)),f315(f315(f153(f894(x95111)),f168(x95111,x95113)),x95112))+~P107(f315(f315(f224(a893),x95112),f315(f178(f894(f894(x95111))),f168(x95111,x95113))))
% 201.32/201.09 [9598]E(f315(f125(x95981,x95982),x95983),f166(x95981,x95982,x95983))+P107(f315(f315(f317(x95981),f700(x95983,x95982,x95981)),f315(f161(x95981),f315(f315(f127(x95981),f315(f178(f894(x95981)),f166(x95981,x95982,x95983))),x95983))))
% 201.32/201.09 [9737]E(f315(f315(f127(x97371),f315(f178(f894(x97371)),f166(x97371,x97372,x97373))),x97373),f102(x97371))+~P107(f315(x97372,f315(f130(x97371),f315(f315(f127(x97371),f315(f178(f894(x97371)),f166(x97371,x97372,x97373))),x97373))))
% 201.32/201.09 [9829]~P107(f315(f315(f317(f900(x98291,x98291)),x98292),f295(x98291,x98293)))+P107(f315(f315(f317(f900(x98291,x98291)),x98292),f315(f315(f33(a893,f901(f900(x98291,x98291),a891)),f230(f901(a893,a891))),f315(f315(f9(a893,f901(f900(x98291,x98291),a891),f901(f900(x98291,x98291),a891)),f172(f900(x98291,x98291),a891)),x98293))))
% 201.32/201.09 [9889]~P107(f315(f315(f223(f901(x98891,a891)),f315(f315(f33(a893,f901(x98891,a891)),f315(f290(a893,f2(a893)),f462(x98893,x98892,x98891))),x98892)),x98893))+P107(f315(f315(f223(f901(x98891,a891)),f315(f315(f33(a893,f901(x98891,a891)),f230(f901(a893,a891))),x98892)),x98893))
% 201.32/201.09 [9935]~P107(f315(f315(f224(a1),f2(a1)),x99353))+P107(f315(f315(f224(a1),x99351),f315(f315(f73(a1),x99352),f315(f315(f74(a1),f315(f315(f73(a1),f315(f69(a1),f315(f315(f3(a1),x99352),x99351))),f71(a1))),x99353))))
% 201.32/201.09 [9949]~P39(x99491,f315(f315(f99(f901(f900(x99491,x99491),a891)),x99492),x99493))+P39(x99491,f315(f315(f99(f901(f900(x99491,x99491),a891)),f315(f315(f99(f901(f900(x99491,x99491),a891)),f315(f315(f277(x99491,x99491,x99491),x99492),x99492)),f315(f315(f277(x99491,x99491,x99491),x99493),x99492))),x99493))
% 201.32/201.09 [10024]P39(x100241,f315(f315(f99(f901(f900(x100241,x100241),a891)),x100242),x100243))+~P39(x100241,f315(f315(f99(f901(f900(x100241,x100241),a891)),f315(f315(f99(f901(f900(x100241,x100241),a891)),f315(f315(f277(x100241,x100241,x100241),x100242),x100242)),f315(f315(f277(x100241,x100241,x100241),x100243),x100242))),x100243))
% 201.32/201.09 [9602]~P144(x96021)+E(f315(f91(x96021),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x96022),x96023)),f177(f901(f900(a893,a893),a891)))))),f315(f315(f3(x96021),f315(f89(x96021),x96022)),f315(f89(x96021),x96023)))
% 201.32/201.09 [9684]P107(f315(x96843,x96842))+E(f315(f250(x96841),f315(f315(f20(x96841,a891,a891),f315(f315(f10(a891,f901(a891,a891),x96841),a313),f315(f315(f9(x96841,x96841,a891),a312),x96842))),x96843)),f177(f901(x96841,a891)))
% 201.32/201.09 [9686]~P107(f315(x96863,x96862))+E(f315(f250(x96861),f315(f315(f20(x96861,a891,a891),f315(f315(f10(a891,f901(a891,a891),x96861),a313),f315(f315(f9(x96861,x96861,a891),a312),x96862))),x96863)),f315(f315(f297(x96861),x96862),f177(f901(x96861,a891))))
% 201.32/201.09 [9915]E(x99151,x99152)+P107(f315(f315(f231(x99153,x99153,f315(f315(f10(f901(x99153,a891),f901(x99153,a891),x99153),f315(f10(a891,a891,x99153),a310)),a312)),x99151),x99152))
% 201.32/201.09 [10004]~E(x100041,x100042)+~P107(f315(f315(f231(x100043,x100043,f315(f315(f10(f901(x100043,a891),f901(x100043,a891),x100043),f315(f10(a891,a891,x100043),a310)),a312)),x100041),x100042))
% 201.32/201.09 [10016]~P107(f315(f54(x100161),x100163))+E(f315(f315(f57(x100161,f901(x100161,a891),f315(f315(f10(f901(x100161,a891),f901(f901(x100161,a891),f901(x100161,a891)),x100161),f315(f9(f901(x100161,a891),f901(x100161,a891),f901(x100161,a891)),f3(f901(x100161,a891)))),f315(f315(f9(x100161,f901(x100161,a891),f901(x100161,a891)),f297(x100161)),f177(f901(x100161,a891))))),x100162),x100163),f315(f315(f3(f901(x100161,a891)),x100162),x100163))
% 201.32/201.09 [10046]~P107(f315(f315(f224(a1),f2(a1)),x100463))+P107(f315(f315(f224(a1),f315(f315(f3(a1),x100461),f315(f315(f74(a1),f315(f315(f73(a1),f315(f69(a1),f315(f315(f3(a1),x100461),x100462))),f71(a1))),x100463))),x100462))
% 201.32/201.09 [10307]~P107(f315(f315(f317(x103071),x103073),f304(x103071,x103072)))+P107(f315(f303(x103071,f315(f315(f9(x103071,f901(f900(x103071,x103071),a891),f901(x103071,a891)),f315(f315(f10(f901(x103071,f901(f901(f900(x103071,x103071),a891),a891)),f901(f901(f900(x103071,x103071),a891),f901(x103071,a891)),x103071),f9(x103071,f901(f900(x103071,x103071),a891),a891)),f315(f315(f10(f901(x103071,f900(x103071,x103071)),f901(x103071,f901(f901(f900(x103071,x103071),a891),a891)),x103071),f315(f10(f900(x103071,x103071),f901(f901(f900(x103071,x103071),a891),a891),x103071),f317(f900(x103071,x103071)))),f240(x103071,x103071)))),x103072)),x103073))
% 201.32/201.09 [10320]P107(f315(f315(f317(x103201),x103202),f304(x103201,x103203)))+~P107(f315(f303(x103201,f315(f315(f9(x103201,f901(f900(x103201,x103201),a891),f901(x103201,a891)),f315(f315(f10(f901(x103201,f901(f901(f900(x103201,x103201),a891),a891)),f901(f901(f900(x103201,x103201),a891),f901(x103201,a891)),x103201),f9(x103201,f901(f900(x103201,x103201),a891),a891)),f315(f315(f10(f901(x103201,f900(x103201,x103201)),f901(x103201,f901(f901(f900(x103201,x103201),a891),a891)),x103201),f315(f10(f900(x103201,x103201),f901(f901(f900(x103201,x103201),a891),a891),x103201),f317(f900(x103201,x103201)))),f240(x103201,x103201)))),x103203)),x103202))
% 201.32/201.09 [9887]~P107(f315(f54(x98871),f315(f250(x98871),x98873)))+P107(f315(f54(x98871),f315(f250(x98871),f315(f315(f20(x98871,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98871),a313),x98872)),x98873))))
% 201.32/201.09 [9888]~P107(f315(f54(x98881),f315(f250(x98881),x98882)))+P107(f315(f54(x98881),f315(f250(x98881),f315(f315(f20(x98881,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98881),a313),x98882)),x98883))))
% 201.32/201.09 [9983]P107(f315(f54(x99831),f315(f250(x99831),x99832)))+~P107(f315(f54(x99831),f315(f250(x99831),f315(f315(f20(x99831,a891,a891),f315(f315(f10(a891,f901(a891,a891),x99831),a314),x99833)),x99832))))
% 201.32/201.09 [9984]P107(f315(f54(x99841),f315(f250(x99841),x99842)))+~P107(f315(f54(x99841),f315(f250(x99841),f315(f315(f20(x99841,a891,a891),f315(f315(f10(a891,f901(a891,a891),x99841),a314),x99842)),x99843))))
% 201.32/201.09 [10286]~P107(f315(f54(x102861),x102862))+P107(f315(f54(f894(x102861)),f315(f250(f894(x102861)),f315(f315(f20(f894(x102861),a891,a891),f315(f315(f10(a891,f901(a891,a891),f894(x102861)),a313),f315(f315(f9(f894(x102861),f901(x102861,a891),a891),f315(f315(f10(f901(x102861,a891),f901(f901(x102861,a891),a891),f894(x102861)),f223(f901(x102861,a891))),f161(x102861))),x102862))),f315(f315(f9(f894(x102861),a893,a891),f315(f315(f10(a893,f901(a893,a891),f894(x102861)),a312),f178(f894(x102861)))),x102863)))))
% 201.32/201.09 [10287]~P107(f315(f54(x102871),x102872))+P107(f315(f54(f894(x102871)),f315(f250(f894(x102871)),f315(f315(f20(f894(x102871),a891,a891),f315(f315(f10(a891,f901(a891,a891),f894(x102871)),a313),f315(f315(f9(f894(x102871),f901(x102871,a891),a891),f315(f315(f10(f901(x102871,a891),f901(f901(x102871,a891),a891),f894(x102871)),f223(f901(x102871,a891))),f161(x102871))),x102872))),f315(f315(f9(f894(x102871),a893,a891),f315(f315(f10(a893,f901(a893,a891),f894(x102871)),f223(a893)),f178(f894(x102871)))),x102873)))))
% 201.32/201.09 [9997]~P113(x99971)+E(f315(f315(f232(x99971),x99972),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x99973)),f315(f315(f74(x99971),f315(f315(f232(x99971),x99972),x99973)),f315(f315(f232(x99971),x99972),x99973)))
% 201.32/201.09 [10027]~P84(x100271)+E(f315(f315(f232(x100271),f315(f315(f232(x100271),x100272),x100273)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f232(x100271),x100272),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100273)))
% 201.32/201.09 [10083]~P144(x100831)+E(f315(f315(f232(x100831),f315(f72(x100831),x100832)),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100833)),f315(f315(f232(x100831),x100832),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100833)))
% 201.32/201.09 [10225]~P120(x102251)+P107(f315(f315(f223(x102251),f2(x102251)),f315(f315(f73(x102251),f315(f315(f232(x102251),x102252),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102251),x102253),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))))
% 201.32/201.09 [10093]~P113(x100931)+E(f315(f315(f232(x100931),x100932),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100933))),f315(f315(f74(x100931),x100932),f315(f315(f74(x100931),f315(f315(f232(x100931),x100932),x100933)),f315(f315(f232(x100931),x100932),x100933))))
% 201.32/201.09 [10143]~P84(x101431)+E(f315(f315(f74(x101431),x101432),f315(f315(f232(x101431),f315(f315(f232(x101431),x101432),x101433)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x101431),x101432),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x101433))))
% 201.32/201.09 [10182]~P120(x101821)+P107(f315(f315(f223(x101821),f2(x101821)),f315(f315(f232(x101821),x101822),f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x101823))))
% 201.32/201.09 [10262]~P97(x102621)+E(f315(f315(f3(x102621),f315(f315(f73(x102621),f315(f315(f232(x102621),x102622),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102621),x102623),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f315(f315(f74(x102621),f315(f315(f74(x102621),f315(f92(x102621),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102622)),x102623)),f315(f315(f232(x102621),f315(f315(f3(x102621),x102622),x102623)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [10263]~P97(x102631)+E(f315(f315(f73(x102631),f315(f315(f73(x102631),f315(f315(f232(x102631),x102632),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102631),x102633),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f315(f315(f74(x102631),f315(f315(f74(x102631),f315(f92(x102631),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102632)),x102633)),f315(f315(f232(x102631),f315(f315(f73(x102631),x102632),x102633)),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [7888]P26(x78881,x78882,x78883,x78884)+~E(f491(x78884,x78883,x78882,x78881),f497(x78884,x78883,x78882,x78881))
% 201.32/201.09 [8179]P36(x81791,x81792,x81793,x81794,f102(x81792))+~E(x81794,f102(x81791))
% 201.32/201.09 [8180]P36(x81801,x81802,x81803,f102(x81801),x81804)+~E(x81804,f102(x81802))
% 201.32/201.09 [8719]~P36(x87192,x87193,x87194,x87191,f102(x87193))+E(x87191,f102(x87192))
% 201.32/201.09 [8720]~P36(x87203,x87202,x87204,f102(x87203),x87201)+E(x87201,f102(x87202))
% 201.32/201.09 [5124]~P17(x51243,x51241,x51244)+E(f315(f315(x51241,x51242),x51242),x51242)
% 201.32/201.09 [5372]P107(f315(x53722,x53724))+E(f315(f125(x53721,x53722),f158(x53721,x53723,x53724)),f102(x53721))
% 201.32/201.09 [5409]~E(x54094,f177(f901(x54091,a891)))+E(f315(f298(x54091,x54092,x54093),x54094),f177(f901(x54092,a891)))
% 201.32/201.09 [5657]~P107(f315(x56572,x56574))+E(f315(f125(x56571,x56572),f158(x56571,x56573,x56574)),f158(x56571,x56573,x56574))
% 201.32/201.09 [5687]~E(f315(f298(x56872,x56873,x56874),x56871),f177(f901(x56873,a891)))+E(x56871,f177(f901(x56872,a891)))
% 201.32/201.09 [5874]~P7(x58741,x58743)+E(f259(x58741,x58742,f258(x58741,x58743),x58744),x58744)
% 201.32/201.09 [5990]~P110(x59902)+E(f315(f315(f137(x59901,x59902,x59903),x59904),f102(x59901)),f315(f315(f140(x59901),x59904),f102(x59901)))
% 201.32/201.09 [6356]~E(x63561,f177(f901(x63562,a891)))+~P107(f315(f55(x63562,x63563,x63561),x63564))
% 201.32/201.09 [6378]~P60(x63781,x63783,x63784,x63782)+P107(f315(f54(x63781),x63782))
% 201.32/201.09 [6380]~P60(x63801,x63803,x63802,x63804)+P107(f315(f54(x63801),x63802))
% 201.32/201.09 [6388]~P60(x63882,x63883,x63884,x63881)+~E(x63881,f177(f901(x63882,a891)))
% 201.32/201.09 [6422]~P111(x64221)+E(f315(f315(f90(f901(x64221,a891)),f315(f290(x64221,x64222),x64223)),f291(x64221,x64223,x64224)),f177(f901(x64221,a891)))
% 201.32/201.09 [6450]~P107(f315(f315(x64503,x64504),x64502))+P107(f315(f315(f317(x64501),x64502),f282(x64501,x64503,x64504)))
% 201.32/201.09 [6451]~P107(f315(f315(x64513,x64514),x64512))+P107(f315(f315(f317(x64511),x64512),f283(x64511,x64513,x64514)))
% 201.32/201.09 [6452]~P107(f315(f315(x64523,x64522),x64524))+P107(f315(f315(f317(x64521),x64522),f284(x64521,x64523,x64524)))
% 201.32/201.09 [6453]~P107(f315(f315(x64533,x64532),x64534))+P107(f315(f315(f317(x64531),x64532),f286(x64531,x64533,x64534)))
% 201.32/201.09 [6598]~P111(x65981)+E(f315(f315(f90(f901(x65981,a891)),f291(x65981,x65982,x65983)),f294(x65981,x65983,x65984)),f177(f901(x65981,a891)))
% 201.32/201.09 [6599]~P111(x65991)+E(f315(f315(f90(f901(x65991,a891)),f291(x65991,x65992,x65993)),f293(x65991,x65993,x65994)),f177(f901(x65991,a891)))
% 201.32/201.09 [6600]~P111(x66001)+E(f315(f315(f90(f901(x66001,a891)),f294(x66001,x66002,x66003)),f291(x66001,x66003,x66004)),f177(f901(x66001,a891)))
% 201.32/201.09 [6601]~P111(x66011)+E(f315(f315(f90(f901(x66011,a891)),f293(x66011,x66012,x66013)),f294(x66011,x66013,x66014)),f177(f901(x66011,a891)))
% 201.32/201.09 [6602]~P111(x66021)+E(f315(f315(f90(f901(x66021,a891)),f293(x66021,x66022,x66023)),f293(x66021,x66023,x66024)),f177(f901(x66021,a891)))
% 201.32/201.09 [6640]P107(f315(f315(x66401,x66402),f543(x66402,x66401)))+~P107(f315(f237(x66403,x66404,x66401),x66402))
% 201.32/201.09 [6722]~P110(x67222)+E(f315(f161(x67221),f139(x67221,x67222,x67223,x67224)),f315(f161(x67221),x67224))
% 201.32/201.09 [6774]~P147(x67741)+E(f179(x67741,x67742,f315(a101,x67743),x67744),f179(x67741,x67742,x67743,f315(x67742,x67744)))
% 201.32/201.09 [6838]~P107(f315(f315(f317(x68384),x68383),f282(x68384,x68381,x68382)))+P107(f315(f315(x68381,x68382),x68383))
% 201.32/201.09 [6839]~P107(f315(f315(f317(x68394),x68393),f283(x68394,x68391,x68392)))+P107(f315(f315(x68391,x68392),x68393))
% 201.32/201.09 [6840]~P107(f315(f315(f317(x68404),x68402),f284(x68404,x68401,x68403)))+P107(f315(f315(x68401,x68402),x68403))
% 201.32/201.09 [6841]~P107(f315(f315(f317(x68414),x68412),f286(x68414,x68411,x68413)))+P107(f315(f315(x68411,x68412),x68413))
% 201.32/201.09 [6918]E(f315(f28(f899(x69181,x69182)),f301(x69181,x69182,x69183,x69184)),f2(a893))+P107(f315(f54(x69182),x69184))
% 201.32/201.09 [6919]E(f315(f28(f899(x69191,x69192)),f301(x69191,x69192,x69193,x69194)),f2(a893))+P107(f315(f54(x69191),x69193))
% 201.32/201.09 [7126]~P14(x71264,x71261,x71262)+E(f315(f66(x71261,x71261,x71261,f315(x71262,x71263)),f315(x71262,x71263)),f315(x71262,x71263))
% 201.32/201.09 [7369]E(f265(x73691,x73692,x73693,x73694),f315(f240(f901(a88,f901(a891,f897(f895(x73691)))),f900(a88,a88)),f34(x73691)))+~P107(f315(f315(f223(a88),x73693),f2(a88)))
% 201.32/201.09 [8011]~E(x80112,x80113)+P107(f315(f315(f317(f900(x80111,x80111)),f315(f315(f240(x80111,x80111),x80112),x80113)),f295(x80111,x80114)))
% 201.32/201.09 [8040]~P26(x80401,x80402,x80403,f230(f901(x80401,a891)))+E(f315(f70(x80401,x80402,f230(f901(x80401,a891)),x80403),f315(x80403,x80404)),x80404)
% 201.32/201.09 [8041]~P26(x80411,x80412,x80413,f230(f901(x80411,a891)))+E(f315(f84(x80411,x80412,f230(f901(x80411,a891)),x80413),f315(x80413,x80414)),x80414)
% 201.32/201.09 [8128]~P107(f315(f315(f317(f894(x81281)),f315(f315(f140(x81281),x81284),x81282)),f150(x81281,x81283)))+P107(f315(f315(f317(f894(x81281)),x81282),f150(x81281,x81283)))
% 201.32/201.09 [8129]~P107(f315(f315(f317(f894(x81291)),f315(f315(f123(x81291),x81294),x81292)),f150(x81291,x81293)))+P107(f315(f315(f317(f894(x81291)),x81292),f150(x81291,x81293)))
% 201.32/201.09 [8130]~P107(f315(f315(f317(f894(x81301)),f315(f315(f123(x81301),x81302),x81304)),f150(x81301,x81303)))+P107(f315(f315(f317(f894(x81301)),x81302),f150(x81301,x81303)))
% 201.32/201.09 [8141]~P110(x81411)+P13(x81411,f315(f315(f143(x81412,x81411),x81413),f139(x81412,x81411,x81413,x81414)))
% 201.32/201.09 [8246]P26(x82464,x82463,x82461,x82462)+E(f315(x82461,f491(x82462,x82461,x82463,x82464)),f315(x82461,f497(x82462,x82461,x82463,x82464)))
% 201.32/201.09 [8352]~P26(x83522,x83521,x83524,x83523)+P26(x83521,x83522,f70(x83522,x83521,x83523,x83524),f315(f298(x83522,x83521,x83524),x83523))
% 201.32/201.09 [8492]P39(f900(x84922,x84924),f268(x84922,x84924,x84921,x84923))+P107(f315(x84921,f548(x84922,x84923,x84924,x84921)))
% 201.32/201.09 [8607]E(x86071,x86072)+~P107(f315(f315(f317(f900(x86073,x86073)),f315(f315(f240(x86073,x86073),x86071),x86072)),f251(x86073,x86074)))
% 201.32/201.09 [8671]~P107(f315(f54(f899(x86713,x86711)),f301(x86713,x86711,x86714,x86712)))+P107(f315(f54(x86711),x86712))
% 201.32/201.09 [8672]~P107(f315(f54(f899(x86721,x86723)),f301(x86721,x86723,x86722,x86724)))+P107(f315(f54(x86721),x86722))
% 201.32/201.09 [8681]~P26(x86811,x86812,x86813,x86814)+P27(x86811,x86812,x86813,x86814,f315(f298(x86811,x86812,x86813),x86814))
% 201.32/201.09 [8682]P11(x86821,x86822,x86823,x86824)+~E(f315(x86824,f822(x86822,x86824,x86823,x86821)),f315(x86824,f823(x86822,x86824,x86823,x86821)))
% 201.32/201.09 [8773]~P27(x87732,x87733,x87734,x87731,f177(f901(x87733,a891)))+E(x87731,f177(f901(x87732,a891)))
% 201.32/201.09 [8774]~P27(x87743,x87742,x87744,f177(f901(x87743,a891)),x87741)+E(x87741,f177(f901(x87742,a891)))
% 201.32/201.09 [8866]P39(f900(x88661,x88662),f268(x88661,x88662,x88663,x88664))+~P39(x88662,f315(x88664,f548(x88661,x88664,x88662,x88663)))
% 201.32/201.09 [9431]E(f315(f315(f148(x94311,x94312),f646(x94313,x94314,x94312,x94311)),f647(x94313,x94314,x94312,x94311)),x94314)+~P107(f315(f315(f317(f900(f894(x94311),f894(x94311))),f315(f315(f240(f894(x94311),f894(x94311)),x94312),x94314)),f146(x94311,x94313)))
% 201.32/201.09 [9436]~P107(f315(f315(f317(f900(f894(x94361),f894(x94361))),f315(f315(f240(f894(x94361),f894(x94361)),x94362),x94363)),f134(x94361,x94364)))+P107(f315(f315(f317(f900(f894(x94361),f894(x94361))),f315(f315(f240(f894(x94361),f894(x94361)),x94362),x94363)),f136(x94361,x94364)))
% 201.32/201.09 [9548]P107(f315(f54(x95481),x95482))+~P107(f315(f315(f317(f900(f901(x95481,a891),f901(x95481,a891))),f315(f315(f240(f901(x95481,a891),f901(x95481,a891)),x95483),x95482)),f306(x95481,x95484)))
% 201.32/201.09 [9549]P107(f315(f54(x95491),x95492))+~P107(f315(f315(f317(f900(f901(x95491,a891),f901(x95491,a891))),f315(f315(f240(f901(x95491,a891),f901(x95491,a891)),x95492),x95493)),f306(x95491,x95494)))
% 201.32/201.09 [9552]~E(x95521,f177(f901(x95522,a891)))+~P107(f315(f315(f317(f900(f901(x95522,a891),f901(x95522,a891))),f315(f315(f240(f901(x95522,a891),f901(x95522,a891)),x95523),x95521)),f306(x95522,x95524)))
% 201.32/201.09 [10193]P11(x101931,x101932,x101933,x101934)+~P107(f315(f315(f245(x101931,x101931,a891),f315(f315(f9(x101931,f901(x101931,x101932),f901(x101931,a891)),f315(f315(f10(f901(x101932,a891),f901(f901(x101931,x101932),f901(x101931,a891)),x101931),f10(x101932,a891,x101931)),f315(f315(f10(x101932,f901(x101932,a891),x101931),a312),x101934))),x101934)),f556(x101934,x101933,x101932,x101931)))
% 201.32/201.09 [5022]~E(x50222,f102(x50221))+E(f315(f315(f148(x50221,x50222),x50223),x50224),f102(x50221))
% 201.32/201.09 [5023]~E(x50234,f102(x50231))+E(f315(f315(f143(x50231,x50232),x50233),x50234),f102(x50232))
% 201.32/201.09 [5258]E(x52581,f102(x52582))+~E(f315(f315(f143(x52582,x52583),x52584),x52581),f102(x52583))
% 201.32/201.09 [5259]E(x52591,f102(x52592))+~E(f315(f315(f148(x52592,x52591),x52593),x52594),f102(x52592))
% 201.32/201.09 [5297]E(x52971,x52972)+~E(f315(f315(f123(x52973),x52974),x52971),f315(f315(f123(x52973),x52974),x52972))
% 201.32/201.09 [5298]E(x52981,x52982)+~E(f315(f315(f123(x52983),x52981),x52984),f315(f315(f123(x52983),x52982),x52984))
% 201.32/201.09 [5446]P107(f315(x54463,x54462))+E(f159(x54461,x54462,f315(f125(x54461,x54463),x54464)),f315(f125(x54461,x54463),x54464))
% 201.32/201.09 [5448]~P107(f315(x54482,x54483))+P35(x54481,x54482,f315(f315(f140(x54481),x54483),x54484))
% 201.32/201.09 [5458]E(x54581,x54582)+~E(f128(a893,f315(f290(a893,x54581),x54583)),f315(f315(f140(a893),x54582),x54584))
% 201.32/201.09 [5507]~P28(x55072,x55073)+P28(x55071,f315(f315(f67(x55072,x55071),x55073),x55074))
% 201.32/201.09 [5508]~P39(x55082,x55083)+P39(x55081,f315(f315(f276(x55082,x55081),x55083),x55084))
% 201.32/201.09 [5509]~P40(x55092,x55093)+P40(x55091,f315(f315(f276(x55092,x55091),x55093),x55094))
% 201.32/201.09 [5510]~P53(x55102,x55103)+P53(x55101,f315(f315(f276(x55102,x55101),x55103),x55104))
% 201.32/201.09 [5641]~P35(x56411,x56412,x56414)+P35(x56411,x56412,f315(f315(f140(x56411),x56413),x56414))
% 201.32/201.09 [5642]~P35(x56421,x56422,x56424)+P35(x56421,x56422,f315(f315(f123(x56421),x56423),x56424))
% 201.32/201.09 [5643]~P35(x56431,x56432,x56433)+P35(x56431,x56432,f315(f315(f123(x56431),x56433),x56434))
% 201.32/201.09 [5730]~E(x57301,f102(x57302))+~E(f315(f315(f123(x57302),x57303),f315(f315(f140(x57302),x57304),f102(x57302))),x57301)
% 201.32/201.09 [5755]~P33(x57553,x57551,f315(f315(f140(x57553),x57552),x57554))+P107(f315(x57551,x57552))
% 201.32/201.09 [5765]E(f103(x57651,x57652),x57653)+~E(f315(f315(f123(x57651),x57653),f315(f315(f140(x57651),x57654),f102(x57651))),x57652)
% 201.32/201.09 [5766]E(f133(x57661,x57662),x57663)+~E(f315(f315(f123(x57661),x57664),f315(f315(f140(x57661),x57663),f102(x57661))),x57662)
% 201.32/201.09 [5876]~E(f128(a893,f315(f290(a893,x58761),x58762)),f315(f315(f140(a893),x58763),x58764))+P107(f315(f315(f224(a893),x58761),x58762))
% 201.32/201.09 [5894]P33(x58941,x58942,x58943)+~P33(x58941,x58942,f315(f315(f140(x58941),x58944),x58943))
% 201.32/201.09 [5895]P33(x58951,x58952,x58953)+~P33(x58951,x58952,f315(f315(f123(x58951),x58954),x58953))
% 201.32/201.09 [5896]P33(x58961,x58962,x58963)+~P33(x58961,x58962,f315(f315(f123(x58961),x58963),x58964))
% 201.32/201.09 [6094]E(x60941,f315(f315(f123(x60942),f315(f157(x60942),x60943)),f315(f315(f140(x60942),x60944),f102(x60942))))+~E(f315(f157(x60942),x60941),f315(f315(f140(x60942),x60944),x60943))
% 201.32/201.09 [6276]~P111(x62761)+E(f315(f315(f90(f901(x62761,a891)),f315(f290(x62761,x62762),x62763)),f315(f290(x62761,x62763),x62764)),f177(f901(x62761,a891)))
% 201.32/201.09 [6287]E(f315(f315(f153(x62871),f158(x62871,x62872,x62873)),x62874),x62873)+~P107(f315(f315(f224(a893),x62874),x62872))
% 201.32/201.09 [6314]~P76(x63141)+E(f315(f154(x63141),f315(f315(f143(a1,x63141),x63142),f167(x63143,x63144))),f315(f315(f8(a1,x63141),x63142),f315(f161(a1),f167(x63143,x63144))))
% 201.32/201.09 [6315]~P76(x63151)+E(f315(f315(f8(a1,x63151),x63152),f315(f161(a1),f167(x63153,x63154))),f315(f154(x63151),f315(f315(f143(a1,x63151),x63152),f167(x63153,x63154))))
% 201.32/201.09 [6463]~E(x64632,f315(f315(f123(x64631),f315(f157(x64631),x64634)),f315(f315(f140(x64631),x64633),f102(x64631))))+E(f315(f157(x64631),x64632),f315(f315(f140(x64631),x64633),x64634))
% 201.32/201.09 [6479]~P19(x64792,x64793,x64794,x64791)+E(f315(x64791,f177(f901(x64792,a891))),f25(x64793))
% 201.32/201.09 [6507]~P111(x65071)+E(f315(f315(f90(f901(x65071,a891)),f294(x65071,x65072,x65073)),f315(f290(x65071,x65073),x65074)),f177(f901(x65071,a891)))
% 201.32/201.09 [6725]E(x67251,f177(f901(x67252,a891)))+~E(f301(x67253,x67252,x67254,x67251),f177(f901(f899(x67253,x67252),a891)))
% 201.32/201.09 [6726]E(x67261,f177(f901(x67262,a891)))+~E(f301(x67262,x67263,x67261,x67264),f177(f901(f899(x67262,x67263),a891)))
% 201.32/201.09 [6795]~P110(x67952)+E(f315(f178(f894(x67951)),f139(x67951,x67952,x67953,x67954)),f315(f178(f894(x67951)),x67954))
% 201.32/201.09 [6806]~P107(f315(f238(x68063,x68064,x68061),x68062))+P107(f315(f315(x68061,f531(x68062,x68061)),x68062))
% 201.32/201.09 [6852]~P107(f315(f54(x68522),x68524))+P107(f315(f54(x68521),f315(f298(x68522,x68521,x68523),x68524)))
% 201.32/201.09 [7086]~P26(x70862,x70861,x70863,x70864)+E(f315(f28(x70861),f315(f298(x70862,x70861,x70863),x70864)),f315(f28(x70862),x70864))
% 201.32/201.09 [7104]E(f315(f298(x71041,x71042,x71043),f315(f299(x71041,x71042,x71043),x71044)),x71044)+~E(f315(f298(x71041,x71042,x71043),f230(f901(x71041,a891))),f230(f901(x71042,a891)))
% 201.32/201.09 [7523]~P26(x75231,x75232,x75233,f230(f901(x75231,a891)))+E(f315(f299(x75231,x75232,x75233),f315(f298(x75231,x75232,x75233),x75234)),x75234)
% 201.32/201.09 [7806]E(x78061,x78062)+~P107(f315(f315(f317(x78063),x78061),f315(f161(x78063),f158(x78063,x78064,x78062))))
% 201.32/201.09 [7815]~E(x78151,f2(a893))+~P107(f315(f315(f317(x78152),x78153),f315(f161(x78152),f158(x78152,x78151,x78154))))
% 201.32/201.09 [7848]P107(f315(x78481,x78482))+~P107(f315(f315(f317(x78483),x78482),f315(f161(x78483),f166(x78483,x78481,x78484))))
% 201.32/201.09 [7957]~P107(f315(f315(f317(f894(x79571)),f315(f315(f140(x79571),x79572),x79574)),f150(x79571,x79573)))+P107(f315(f315(f317(x79571),x79572),x79573))
% 201.32/201.09 [8085]~P107(f315(f315(f317(x80851),x80852),f315(f161(x80851),f165(x80851,x80853,x80854))))+P107(f315(f315(f317(x80851),x80852),f315(f161(x80851),x80853)))
% 201.32/201.09 [8086]~P107(f315(f315(f317(x80861),x80862),f315(f161(x80861),f159(x80861,x80864,x80863))))+P107(f315(f315(f317(x80861),x80862),f315(f161(x80861),x80863)))
% 201.32/201.09 [8087]~P107(f315(f315(f317(x80871),x80872),f315(f161(x80871),f166(x80871,x80874,x80873))))+P107(f315(f315(f317(x80871),x80872),f315(f161(x80871),x80873)))
% 201.32/201.09 [8097]E(f315(f178(f894(x80971)),x80972),x80973)+~P107(f315(f315(f317(f894(x80971)),x80972),f315(f161(f894(x80971)),f48(x80971,x80973,x80974))))
% 201.32/201.09 [8192]P107(f315(x81923,x81922))+E(f315(f125(x81921,f315(f315(f10(a891,a891,x81921),a310),f315(a312,x81922))),f315(f125(x81921,x81923),x81924)),f315(f125(x81921,x81923),x81924))
% 201.32/201.09 [8304]E(f315(f315(f153(x83041),f166(x83041,x83042,x83043)),x83044),f315(f315(f153(x83041),x83043),x83044))+~P107(f315(f315(f224(a893),x83044),f315(f178(f894(x83041)),f166(x83041,x83042,x83043))))
% 201.32/201.09 [8390]~P76(x83901)+E(f315(f315(f8(a893,x83901),f315(f315(f10(a893,x83901,a893),x83902),a101)),f315(f290(a893,x83903),x83904)),f315(f315(f8(a893,x83901),x83902),f315(f290(a893,f315(a101,x83903)),f315(a101,x83904))))
% 201.32/201.09 [8399]~P76(x83991)+E(f315(f315(f8(a893,x83991),f315(f315(f10(a893,x83991,a893),x83992),a101)),f291(a893,x83993,x83994)),f315(f315(f8(a893,x83991),x83992),f291(a893,f315(a101,x83993),f315(a101,x83994))))
% 201.32/201.09 [8528]~P26(x85281,x85283,x85284,f230(f901(x85281,a891)))+P26(x85281,f901(x85282,x85283),f315(f315(f10(x85283,f901(x85282,x85283),x85281),f18(x85283,x85282)),x85284),f230(f901(x85281,a891)))
% 201.32/201.09 [8613]~P26(x86132,x86131,x86134,x86133)+E(f315(f298(x86131,x86132,f70(x86132,x86131,x86133,x86134)),f315(f298(x86132,x86131,x86134),x86133)),x86133)
% 201.32/201.09 [8673]~P107(f315(f315(f317(f900(x86731,x86731)),f315(f315(f240(x86731,x86731),x86732),x86734)),f251(x86731,x86733)))+P107(f315(f315(f317(x86731),x86732),x86733))
% 201.32/201.09 [8797]~P26(x87972,x87971,x87973,f230(f901(x87972,a891)))+E(f315(f298(x87971,x87972,f84(x87972,x87971,f230(f901(x87972,a891)),x87973)),f315(f298(x87972,x87971,x87973),x87974)),x87974)
% 201.32/201.09 [8872]~P27(x88721,x88722,x88723,x88724,f230(f901(x88722,a891)))+E(f315(f298(x88721,x88722,x88723),f230(f901(x88721,a891))),f230(f901(x88722,a891)))
% 201.32/201.09 [8905]~E(f315(f315(f8(x89051,a893),x89054),x89053),f315(a101,x89052))+P107(f315(f315(f317(x89051),f873(x89052,x89053,x89054,x89051)),x89053))
% 201.32/201.09 [8926]~E(f315(f315(f8(x89264,a893),x89261),x89263),f315(a101,x89262))+P107(f315(f315(f224(a893),f2(a893)),f315(x89261,f873(x89262,x89263,x89261,x89264))))
% 201.32/201.09 [8937]~P107(f315(f54(x89372),x89374))+P107(f315(f315(f223(a893),f315(f28(x89371),f315(f298(x89372,x89371,x89373),x89374))),f315(f28(x89372),x89374)))
% 201.32/201.09 [8938]E(f315(f315(f240(x89381,x89382),f617(x89383,x89384,x89382,x89381)),f618(x89383,x89384,x89382,x89381)),x89384)+~P107(f315(f315(f317(f900(x89381,x89382)),x89384),f315(f274(x89382,x89381),x89383)))
% 201.32/201.09 [8946]P26(x89461,x89462,x89463,x89464)+P107(f315(f315(f317(x89461),f491(x89464,x89463,x89462,x89461)),x89464))
% 201.32/201.09 [8947]P26(x89471,x89472,x89473,x89474)+P107(f315(f315(f317(x89471),f497(x89474,x89473,x89472,x89471)),x89474))
% 201.32/201.09 [9015]P11(x90151,x90152,x90153,x90154)+P107(f315(f315(f317(f900(x90151,x90151)),f556(x90154,x90153,x90152,x90151)),x90153))
% 201.32/201.09 [9069]P107(f315(x90691,x90692))+~P107(f315(x90691,f315(f315(f240(x90693,x90694),f374(x90694,x90693,x90691)),f375(x90694,x90693,x90691))))
% 201.32/201.09 [9086]E(f315(f178(f894(x90861)),x90862),f315(f178(f894(x90861)),x90863))+~P107(f315(f315(f317(f900(f894(x90861),f894(x90861))),f315(f315(f240(f894(x90861),f894(x90861)),x90862),x90863)),f134(x90861,x90864)))
% 201.32/201.09 [9087]E(f315(f178(f894(x90871)),x90872),f315(f178(f894(x90871)),x90873))+~P107(f315(f315(f317(f900(f894(x90871),f894(x90871))),f315(f315(f240(f894(x90871),f894(x90871)),x90872),x90873)),f146(x90871,x90874)))
% 201.32/201.09 [9090]E(f315(f178(f894(x90901)),x90902),f315(f178(f894(x90901)),x90903))+~P107(f315(f315(f317(f900(f894(x90901),f894(x90901))),f315(f315(f240(f894(x90901),f894(x90901)),x90902),x90903)),f147(x90901,x90904)))
% 201.32/201.09 [9159]P107(f315(f315(f223(a893),f144(x91591,x91592,x91593)),f144(x91591,x91594,x91593)))+P107(f315(f315(f317(x91591),f645(x91594,x91592,x91593,x91591)),f315(f161(x91591),x91593)))
% 201.32/201.09 [9162]E(f315(f178(f894(x91621)),x91622),f315(f178(f894(x91621)),x91623))+~P107(f315(f315(f317(f900(f894(x91621),f894(x91621))),f315(f315(f240(f894(x91621),f894(x91621)),x91622),x91623)),f295(f894(x91621),f146(x91621,x91624))))
% 201.32/201.09 [9280]P107(f315(f315(f275(a893),x92801),x92802))+P107(f315(f315(f223(f901(a893,a891)),f278(a893,f275(a893),x92801,x92802)),f278(a893,f275(a893),x92803,x92804)))
% 201.32/201.09 [9402]~P26(x94021,x94022,x94023,x94024)+~P107(f315(f315(f224(a893),f315(f28(x94022),f315(f298(x94021,x94022,x94023),x94024))),f315(f28(x94021),x94024)))
% 201.32/201.09 [9449]~P107(f315(f315(f317(f900(f894(x94491),f894(x94491))),f315(f315(f240(f894(x94491),f894(x94491)),x94492),x94493)),f146(x94491,x94494)))+P107(f315(f315(f317(f900(f894(x94491),f894(x94491))),f315(f315(f240(f894(x94491),f894(x94491)),x94492),x94493)),f147(x94491,f295(x94491,x94494))))
% 201.32/201.09 [9453]~P107(f315(f315(f317(f900(f894(x94531),f894(x94531))),f315(f315(f240(f894(x94531),f894(x94531)),x94532),x94533)),f147(x94531,x94534)))+P107(f315(f315(f317(f900(f894(x94531),f894(x94531))),f315(f315(f240(f894(x94531),f894(x94531)),x94532),x94533)),f295(f894(x94531),f146(x94531,x94534))))
% 201.32/201.09 [9469]P107(f315(f315(f317(f900(x94691,x94691)),f315(f315(f240(x94691,x94691),x94692),x94693)),f295(x94691,x94694)))+~P107(f315(f315(f317(f900(x94691,x94691)),f315(f315(f240(x94691,x94691),x94692),x94693)),f315(f315(f277(x94691,x94691,x94691),x94694),f295(x94691,x94694))))
% 201.32/201.09 [9543]P107(f315(f315(f275(a893),x95431),x95432))+~P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x95433,x95434)),f278(a893,f275(a893),x95431,x95432)))
% 201.32/201.09 [9665]E(f315(f315(f123(x96651),f663(x96652,x96653,x96654,x96651)),f315(f315(f140(x96651),f664(x96652,x96653,x96654,x96651)),f666(x96652,x96653,x96654,x96651))),x96654)+~P107(f315(f315(f317(f900(f894(x96651),f894(x96651))),f315(f315(f240(f894(x96651),f894(x96651)),x96654),x96653)),f146(x96651,x96652)))
% 201.32/201.09 [9666]E(f315(f315(f123(x96661),f663(x96662,x96663,x96664,x96661)),f315(f315(f140(x96661),f665(x96662,x96663,x96664,x96661)),f666(x96662,x96663,x96664,x96661))),x96663)+~P107(f315(f315(f317(f900(f894(x96661),f894(x96661))),f315(f315(f240(f894(x96661),f894(x96661)),x96664),x96663)),f146(x96661,x96662)))
% 201.32/201.09 [9744]P107(f315(f315(f317(f900(x97441,x97441)),f315(f315(f240(x97441,x97441),x97442),f616(x97443,x97444,x97442,x97441))),f295(x97441,x97443)))+~P107(f315(f315(f317(f900(x97441,x97441)),f315(f315(f240(x97441,x97441),x97442),x97444)),f315(f315(f277(x97441,x97441,x97441),x97443),f295(x97441,x97443))))
% 201.32/201.09 [9812]P107(f315(f315(f223(a893),f144(x98121,x98122,x98123)),f144(x98121,x98124,x98123)))+~P107(f315(f315(f224(a893),f315(x98122,f645(x98124,x98122,x98123,x98121))),f315(x98124,f645(x98124,x98122,x98123,x98121))))
% 201.32/201.09 [9883]P107(f315(f315(f317(f900(x98831,x98831)),f315(f315(f240(x98831,x98831),f610(x98832,x98833,x98834,x98831)),x98833)),f295(x98831,x98832)))+~P107(f315(f315(f317(f900(x98831,x98831)),f315(f315(f240(x98831,x98831),x98834),x98833)),f315(f315(f277(x98831,x98831,x98831),x98832),f295(x98831,x98832))))
% 201.32/201.09 [5278]~E(x52782,x52783)+E(f159(x52781,x52782,f315(f315(f140(x52781),x52783),x52784)),x52784)
% 201.32/201.09 [5402]P107(f315(x54022,x54023))+E(f166(x54021,x54022,f315(f315(f140(x54021),x54023),x54024)),f102(x54021))
% 201.32/201.09 [5470]~P92(x54702)+E(f315(f315(f72(f901(x54701,x54702)),x54703),x54704),f315(f72(x54702),f315(x54703,x54704)))
% 201.32/201.09 [5483]~E(x54832,f2(a893))+E(f315(f315(f127(x54831),x54832),f315(f315(f140(x54831),x54833),x54834)),f315(f315(f140(x54831),x54833),x54834))
% 201.32/201.09 [5484]P107(f315(x54842,x54843))+E(f315(f125(x54841,x54842),f315(f315(f140(x54841),x54843),x54844)),f315(f125(x54841,x54842),x54844))
% 201.32/201.09 [5624]~E(x56242,x56244)+P107(f315(f315(f315(f297(x56241),x56242),x56243),x56244))
% 201.32/201.09 [5632]E(x56321,f102(x56322))+E(f133(x56323,f315(f315(f143(x56322,x56323),x56324),x56321)),f315(x56324,f133(x56322,x56321)))
% 201.32/201.09 [5646]~E(x56461,f56(x56462,x56464))+E(f315(x56461,f315(f315(f297(x56462),x56463),f177(f901(x56462,a891)))),x56463)
% 201.32/201.09 [5682]E(x56821,f102(x56822))+E(f315(f130(x56823),f315(f315(f143(x56822,x56823),x56824),x56821)),f315(x56824,f315(f130(x56822),x56821)))
% 201.32/201.09 [5785]~P107(f315(x57853,x57854))+P107(f315(f315(f315(f297(x57851),x57852),x57853),x57854))
% 201.32/201.09 [5913]~P18(x59132,x59134,x59131)+E(f315(x59131,f315(f315(f297(x59132),x59133),f177(f901(x59132,a891)))),x59133)
% 201.32/201.09 [5939]~E(x59392,x59393)+P107(f315(f315(f317(x59391),x59392),f315(f315(f297(x59391),x59393),x59394)))
% 201.32/201.09 [5945]~P2(x59451)+E(f315(f315(f99(x59451),x59452),f315(f315(f99(x59451),x59453),x59454)),f315(f315(f99(x59451),x59453),f315(f315(f99(x59451),x59452),x59454)))
% 201.32/201.09 [5946]~P80(x59461)+E(f315(f315(f99(x59461),x59462),f315(f315(f99(x59461),x59463),x59464)),f315(f315(f99(x59461),x59463),f315(f315(f99(x59461),x59462),x59464)))
% 201.32/201.09 [5947]~P113(x59471)+E(f315(f315(f74(x59471),x59472),f315(f315(f74(x59471),x59473),x59474)),f315(f315(f74(x59471),x59473),f315(f315(f74(x59471),x59472),x59474)))
% 201.32/201.09 [5948]~P80(x59481)+E(f315(f315(f90(x59481),x59482),f315(f315(f90(x59481),x59483),x59484)),f315(f315(f90(x59481),x59483),f315(f315(f90(x59481),x59482),x59484)))
% 201.32/201.09 [5950]~P103(x59501)+E(f315(f315(f90(x59501),x59502),f315(f315(f90(x59501),x59503),x59504)),f315(f315(f90(x59501),x59503),f315(f315(f90(x59501),x59502),x59504)))
% 201.32/201.09 [5951]~P113(x59511)+E(f315(f315(f73(x59511),x59512),f315(f315(f73(x59511),x59513),x59514)),f315(f315(f73(x59511),x59513),f315(f315(f73(x59511),x59512),x59514)))
% 201.32/201.09 [5953]~P110(x59531)+E(f315(f315(f221(x59531),x59532),f315(f315(f221(x59531),x59533),x59534)),f315(f315(f221(x59531),x59533),f315(f315(f221(x59531),x59532),x59534)))
% 201.32/201.09 [5955]~P110(x59551)+E(f315(f315(f222(x59551),x59552),f315(f315(f222(x59551),x59553),x59554)),f315(f315(f222(x59551),x59553),f315(f315(f222(x59551),x59552),x59554)))
% 201.32/201.09 [5962]E(x59621,x59622)+E(f159(x59623,x59621,f315(f315(f140(x59623),x59622),x59624)),f315(f315(f140(x59623),x59622),f159(x59623,x59621,x59624)))
% 201.32/201.09 [5977]~P107(f315(x59772,x59773))+E(f315(f125(x59771,x59772),f315(f315(f140(x59771),x59773),x59774)),f315(f315(f140(x59771),x59773),f315(f125(x59771,x59772),x59774)))
% 201.32/201.09 [6116]~P107(f315(x61162,x61163))+E(f166(x61161,x61162,f315(f315(f140(x61161),x61163),x61164)),f315(f315(f140(x61161),x61163),f166(x61161,x61162,x61164)))
% 201.32/201.09 [6165]P25(x61651,x61652,x61653)+~P25(x61651,x61652,f315(f315(f297(f892(x61651)),x61654),x61653))
% 201.32/201.09 [6181]E(x61811,f177(f901(x61812,a891)))+E(f315(f315(f32(x61812,f901(x61813,a891)),x61811),f315(f18(f901(x61813,a891),x61812),x61814)),x61814)
% 201.32/201.09 [6182]E(x61821,f177(f901(x61822,a891)))+E(f315(f315(f33(x61822,f901(x61823,a891)),x61821),f315(f18(f901(x61823,a891),x61822),x61824)),x61824)
% 201.32/201.09 [6191]~E(x61914,f177(f901(x61912,a891)))+E(f315(f315(f242(x61911,x61912),x61913),f315(f18(f901(x61912,a891),x61911),x61914)),f177(f901(f900(x61911,x61912),a891)))
% 201.32/201.09 [6192]~E(x61923,f177(f901(x61921,a891)))+E(f315(f315(f242(x61921,x61922),x61923),f315(f18(f901(x61922,a891),x61921),x61924)),f177(f901(f900(x61921,x61922),a891)))
% 201.32/201.09 [6248]E(x62481,f2(a893))+E(f315(f315(f127(x62482),x62481),f315(f315(f140(x62482),x62483),x62484)),f315(f315(f127(x62482),f315(f315(f3(a893),x62481),f71(a893))),x62484))
% 201.32/201.09 [6269]E(x62691,f177(f901(x62692,a891)))+E(f315(f298(x62692,x62693,f315(f18(x62693,x62692),x62694)),x62691),f315(f315(f297(x62693),x62694),f177(f901(x62693,a891))))
% 201.32/201.09 [6272]E(f315(f299(x62721,x62722,f315(f18(x62722,x62721),x62723)),x62724),f177(f901(x62721,a891)))+P107(f315(f315(f317(x62722),x62723),x62724))
% 201.32/201.09 [6339]~E(x63393,f177(f901(x63391,a891)))+E(f315(f315(f32(x63391,f901(x63392,a891)),x63393),f315(f18(f901(x63392,a891),x63391),x63394)),f230(f901(x63392,a891)))
% 201.32/201.09 [6340]~E(x63403,f177(f901(x63401,a891)))+E(f315(f315(f33(x63401,f901(x63402,a891)),x63403),f315(f18(f901(x63402,a891),x63401),x63404)),f177(f901(x63402,a891)))
% 201.32/201.09 [6342]~P62(x63421)+E(f38(x63421,f315(f315(f74(x63421),x63422),x63423),f315(f315(f74(x63421),x63422),x63424)),f315(f315(f74(x63421),x63422),f38(x63421,x63423,x63424)))
% 201.32/201.09 [6517]E(f315(f299(x65171,x65172,f315(f18(x65172,x65171),x65173)),x65174),f230(f901(x65171,a891)))+~P107(f315(f315(f317(x65172),x65173),x65174))
% 201.32/201.09 [6540]~P107(f315(f315(f317(x65401),x65402),x65404))+P107(f315(f315(f317(x65401),x65402),f315(f315(f297(x65401),x65403),x65404)))
% 201.32/201.09 [6545]P107(f315(x65451,x65452))+~P107(f315(f149(x65453,x65451),f315(f315(f140(x65453),x65452),x65454)))
% 201.32/201.09 [6554]~E(x65543,f315(f315(f3(a893),f315(f178(f894(x65541)),x65542)),f71(a893)))+E(f103(x65541,f315(f315(f148(x65541,x65542),x65543),x65544)),f103(x65541,x65542))
% 201.32/201.09 [6576]~P110(x65761)+E(f315(f315(f90(f901(x65761,a891)),f315(f289(x65761),x65762)),f291(x65761,x65763,x65764)),f291(x65761,x65763,f315(f315(f221(x65761),x65762),x65764)))
% 201.32/201.09 [6577]~P110(x65771)+E(f315(f315(f90(f901(x65771,a891)),f315(f271(x65771),x65772)),f291(x65771,x65773,x65774)),f291(x65771,f315(f315(f222(x65771),x65772),x65773),x65774))
% 201.32/201.09 [6593]E(f315(f315(f90(f901(x65931,a891)),x65932),f315(f315(f297(x65931),x65933),x65934)),f315(f315(f90(f901(x65931,a891)),x65932),x65934))+P107(f315(f315(f317(x65931),x65933),x65932))
% 201.32/201.09 [6605]E(f159(x66051,x66052,f315(f315(f123(x66051),x66053),x66054)),f315(f315(f123(x66051),x66053),f159(x66051,x66052,x66054)))+P107(f315(f315(f317(x66051),x66052),f315(f161(x66051),x66053)))
% 201.32/201.09 [6610]~P84(x66101)+E(f315(f315(f74(x66101),f315(f315(f232(x66101),x66102),x66103)),f315(f315(f232(x66101),x66102),x66104)),f315(f315(f232(x66101),x66102),f315(f315(f73(a893),x66103),x66104)))
% 201.32/201.09 [6611]~P113(x66111)+E(f315(f315(f74(x66111),f315(f315(f232(x66111),x66112),x66113)),f315(f315(f232(x66111),x66112),x66114)),f315(f315(f232(x66111),x66112),f315(f315(f73(a893),x66113),x66114)))
% 201.32/201.09 [6648]~P101(x66481)+E(f315(f315(f90(x66481),f315(f315(f99(x66481),x66482),x66483)),f315(f315(f99(x66481),x66482),x66484)),f315(f315(f99(x66481),x66482),f315(f315(f90(x66481),x66483),x66484)))
% 201.32/201.09 [6649]~P113(x66491)+E(f315(f315(f73(x66491),f315(f315(f74(x66491),x66492),x66493)),f315(f315(f74(x66491),x66492),x66494)),f315(f315(f74(x66491),x66492),f315(f315(f73(x66491),x66493),x66494)))
% 201.32/201.09 [6650]~P101(x66501)+E(f315(f315(f99(x66501),f315(f315(f90(x66501),x66502),x66503)),f315(f315(f90(x66501),x66502),x66504)),f315(f315(f90(x66501),x66502),f315(f315(f99(x66501),x66503),x66504)))
% 201.32/201.09 [6651]~P110(x66511)+E(f315(f315(f222(x66511),f315(f315(f221(x66511),x66512),x66513)),f315(f315(f221(x66511),x66512),x66514)),f315(f315(f221(x66511),x66512),f315(f315(f222(x66511),x66513),x66514)))
% 201.32/201.09 [6652]~P110(x66521)+E(f315(f315(f221(x66521),f315(f315(f222(x66521),x66522),x66523)),f315(f315(f222(x66521),x66522),x66524)),f315(f315(f222(x66521),x66522),f315(f315(f221(x66521),x66523),x66524)))
% 201.32/201.09 [6686]~P62(x66861)+E(f38(x66861,f315(f315(f74(x66861),x66862),x66863),f315(f315(f74(x66861),x66864),x66863)),f315(f315(f74(x66861),f38(x66861,x66862,x66864)),x66863))
% 201.32/201.09 [6689]~E(f315(f178(f894(x66891)),x66893),f315(f178(f894(x66892)),x66894))+E(f315(f315(f143(f900(x66891,x66892),x66892),f244(x66891,x66892)),f315(f315(f170(x66891,x66892),x66893),x66894)),x66894)
% 201.32/201.09 [6690]~E(f315(f178(f894(x66901)),x66903),f315(f178(f894(x66902)),x66904))+E(f315(f315(f143(f900(x66901,x66902),x66901),f239(x66901,x66902)),f315(f315(f170(x66901,x66902),x66903),x66904)),x66903)
% 201.32/201.09 [6695]P107(f315(f149(x66951,x66952),x66953))+~P107(f315(f149(x66951,x66952),f315(f315(f140(x66951),x66954),x66953)))
% 201.32/201.09 [6696]P107(f315(f149(x66961,x66962),x66963))+~P107(f315(f149(x66961,x66962),f315(f315(f123(x66961),x66964),x66963)))
% 201.32/201.09 [6697]P107(f315(f149(x66971,x66972),x66973))+~P107(f315(f149(x66971,x66972),f315(f315(f123(x66971),x66973),x66974)))
% 201.32/201.09 [6702]~P63(x67021)+E(f38(x67021,f315(f315(f3(x67021),x67022),f38(x67021,x67023,x67024)),x67024),f38(x67021,f315(f315(f3(x67021),x67022),x67023),x67024))
% 201.32/201.09 [6703]~P62(x67031)+E(f38(x67031,f315(f315(f74(x67031),x67032),f38(x67031,x67033,x67034)),x67034),f38(x67031,f315(f315(f74(x67031),x67032),x67033),x67034))
% 201.32/201.09 [6705]~P62(x67051)+E(f38(x67051,f315(f315(f73(x67051),x67052),f38(x67051,x67053,x67054)),x67054),f38(x67051,f315(f315(f73(x67051),x67052),x67053),x67054))
% 201.32/201.09 [6787]~P110(x67871)+E(f315(f315(f90(f901(x67871,a891)),f291(x67871,x67872,x67873)),f315(f289(x67871),x67874)),f291(x67871,x67872,f315(f315(f221(x67871),x67873),x67874)))
% 201.32/201.09 [6788]~P110(x67881)+E(f315(f315(f90(f901(x67881,a891)),f291(x67881,x67882,x67883)),f315(f271(x67881),x67884)),f291(x67881,f315(f315(f222(x67881),x67882),x67884),x67883))
% 201.32/201.09 [6791]~E(f315(f178(f894(x67911)),x67913),f315(f178(f894(x67912)),x67914))+E(f315(f315(f170(x67911,x67912),f315(f157(x67911),x67913)),f315(f157(x67912),x67914)),f315(f157(f900(x67911,x67912)),f315(f315(f170(x67911,x67912),x67913),x67914)))
% 201.32/201.09 [6803]E(x68031,f315(f315(f3(a893),f315(f178(f894(x68032)),x68033)),f71(a893)))+E(f103(x68032,f315(f315(f148(x68032,x68033),x68031),x68034)),f315(f315(f148(x68032,f103(x68032,x68033)),x68031),x68034))
% 201.32/201.09 [6818]~P107(f315(f126(x68182),x68184))+P107(f315(f126(f900(x68181,x68182)),f315(f315(f170(x68181,x68182),x68183),x68184)))
% 201.32/201.09 [6819]~P107(f315(f126(x68191),x68193))+P107(f315(f126(f900(x68191,x68192)),f315(f315(f170(x68191,x68192),x68193),x68194)))
% 201.32/201.09 [7089]E(f315(f315(f29(a893),x70891),x70892),x70893)+~P107(f315(f41(x70891,x70892),f315(f315(f240(a893,a893),x70893),x70894)))
% 201.32/201.09 [7113]E(f38(a893,x71131,x71132),x71133)+~P107(f315(f41(x71131,x71132),f315(f315(f240(a893,a893),x71134),x71133)))
% 201.32/201.09 [7116]P107(f315(f126(x71161),x71162))+~P107(f315(f126(x71163),f315(f315(f143(x71161,x71163),x71164),x71162)))
% 201.32/201.09 [7124]~P25(x71241,x71242,f315(f315(f297(f892(x71241)),x71243),x71244))+P25(x71241,x71242,f315(f315(f297(f892(x71241)),x71243),f177(f901(f892(x71241),a891))))
% 201.32/201.09 [7200]E(f159(x72001,x72002,f315(f315(f123(x72001),x72003),x72004)),f315(f315(f123(x72001),f159(x72001,x72002,x72003)),x72004))+~P107(f315(f315(f317(x72001),x72002),f315(f161(x72001),x72003)))
% 201.32/201.09 [7293]~P63(x72931)+E(f38(x72931,f315(f315(f3(x72931),f38(x72931,x72932,x72933)),x72934),x72933),f38(x72931,f315(f315(f3(x72931),x72932),x72934),x72933))
% 201.32/201.09 [7296]~P62(x72961)+E(f38(x72961,f315(f315(f74(x72961),f38(x72961,x72962,x72963)),x72964),x72963),f38(x72961,f315(f315(f74(x72961),x72962),x72964),x72963))
% 201.32/201.09 [7297]~P62(x72971)+E(f38(x72971,f315(f315(f73(x72971),f38(x72971,x72972,x72973)),x72974),x72973),f38(x72971,f315(f315(f73(x72971),x72972),x72974),x72973))
% 201.32/201.09 [7493]~E(x74931,f315(f315(f140(x74932),x74933),x74934))+~P107(f315(f315(f223(a893),f315(f178(f894(x74932)),x74931)),f315(f178(f894(x74932)),x74934)))
% 201.32/201.09 [7696]P26(x76961,x76962,x76963,f315(f161(x76961),x76964))+~P107(f315(f126(x76962),f315(f315(f143(x76961,x76962),x76963),x76964)))
% 201.32/201.09 [7771]~P107(f315(f315(f223(f901(x77711,a891)),x77712),x77714))+P107(f315(f315(f223(f901(x77711,a891)),x77712),f315(f315(f297(x77711),x77713),x77714)))
% 201.32/201.09 [7807]~P63(x78071)+E(f38(x78071,f315(f315(f3(x78071),f38(x78071,x78072,x78073)),f38(x78071,x78074,x78073)),x78073),f38(x78071,f315(f315(f3(x78071),x78072),x78074),x78073))
% 201.32/201.09 [7808]~P62(x78081)+E(f38(x78081,f315(f315(f74(x78081),f38(x78081,x78082,x78083)),f38(x78081,x78084,x78083)),x78083),f38(x78081,f315(f315(f74(x78081),x78082),x78084),x78083))
% 201.32/201.09 [7809]~P62(x78091)+E(f38(x78091,f315(f315(f73(x78091),f38(x78091,x78092,x78093)),f38(x78091,x78094,x78093)),x78093),f38(x78091,f315(f315(f73(x78091),x78092),x78094),x78093))
% 201.32/201.09 [7912]~E(f315(x79124,f434(x79124,x79123,x79121,x79122)),f177(f901(x79122,a891)))+E(f315(f315(f33(x79121,f901(x79122,a891)),x79123),x79124),f177(f901(x79122,a891)))
% 201.32/201.09 [7913]~E(f315(x79134,f391(x79134,x79133,x79131,x79132)),f230(f901(x79132,a891)))+E(f315(f315(f32(x79131,f901(x79132,a891)),x79133),x79134),f230(f901(x79132,a891)))
% 201.32/201.09 [7914]~E(f315(x79144,f392(x79144,x79143,x79142,x79141)),f230(f901(x79142,a891)))+E(f315(f315(f32(x79141,f901(x79142,a891)),x79143),x79144),f230(f901(x79142,a891)))
% 201.32/201.09 [7915]~E(f315(x79154,f435(x79154,x79153,x79152,x79151)),f177(f901(x79152,a891)))+E(f315(f315(f33(x79151,f901(x79152,a891)),x79153),x79154),f177(f901(x79152,a891)))
% 201.32/201.09 [8305]P107(f315(x83051,x83052))+~P107(f315(f315(f317(x83053),x83052),f315(f315(f90(f901(x83053,a891)),x83054),f315(f250(x83053),x83051))))
% 201.32/201.09 [8342]~P107(f315(f315(f223(f901(x83421,a891)),x83423),x83424))+P107(f315(f315(f223(f901(x83421,a891)),f315(f315(f297(x83421),x83422),x83423)),f315(f315(f297(x83421),x83422),x83424)))
% 201.32/201.09 [8521]P107(f315(x85212,x85213))+E(f315(f315(f127(x85211),f315(f178(f894(x85211)),f166(x85211,x85212,f315(f315(f140(x85211),x85213),x85214)))),f315(f315(f140(x85211),x85213),x85214)),f315(f315(f140(x85211),x85213),x85214))
% 201.32/201.09 [8627]~P107(f315(f315(f224(a893),f315(x86274,x86272)),f315(x86274,x86273)))+P107(f315(f315(f317(f900(x86271,x86271)),f315(f315(f240(x86271,x86271),x86272),x86273)),f315(f315(f276(a893,x86271),a228),x86274)))
% 201.32/201.09 [8723]~P107(f315(x87232,f718(x87234,x87232,x87233,x87231)))+E(f166(x87231,x87232,f315(f315(f123(x87231),x87233),x87234)),f315(f315(f123(x87231),x87233),f166(x87231,x87232,x87234)))
% 201.32/201.09 [8801]P26(f894(x88011),f894(x88012),f315(f143(x88011,x88012),x88013),x88014)+~P26(x88011,x88012,x88013,f30(f901(x88011,a891),f315(f298(f894(x88011),f901(x88011,a891),f161(x88011)),x88014)))
% 201.32/201.09 [8876]~P107(f315(x88762,x88763))+E(f315(f315(f127(x88761),f315(f178(f894(x88761)),f166(x88761,x88762,f315(f315(f140(x88761),x88763),x88764)))),f315(f315(f140(x88761),x88763),x88764)),f315(f315(f127(x88761),f315(f178(f894(x88761)),f166(x88761,x88762,x88764))),x88764))
% 201.32/201.09 [8917]~E(x89172,x89173)+E(f315(f125(x89171,f315(f315(f10(a891,a891,x89171),a310),f315(a312,x89172))),f315(f315(f140(x89171),x89173),x89174)),f315(f125(x89171,f315(f315(f10(a891,a891,x89171),a310),f315(a312,x89172))),x89174))
% 201.32/201.09 [8927]E(f315(f315(f33(x89271,f901(x89272,a891)),x89273),x89274),f177(f901(x89272,a891)))+P107(f315(f315(f317(x89271),f434(x89274,x89273,x89271,x89272)),x89273))
% 201.32/201.09 [8928]E(f315(f315(f32(x89281,f901(x89282,a891)),x89283),x89284),f230(f901(x89282,a891)))+P107(f315(f315(f317(x89281),f391(x89284,x89283,x89281,x89282)),x89283))
% 201.32/201.09 [8929]E(f315(f315(f32(x89291,f901(x89292,a891)),x89293),x89294),f230(f901(x89292,a891)))+P107(f315(f315(f317(x89291),f392(x89294,x89293,x89292,x89291)),x89293))
% 201.32/201.09 [8930]E(f315(f315(f33(x89301,f901(x89302,a891)),x89303),x89304),f177(f901(x89302,a891)))+P107(f315(f315(f317(x89301),f435(x89304,x89303,x89302,x89301)),x89303))
% 201.32/201.09 [8968]P107(f315(f315(f224(a893),f315(x89681,x89682)),f315(x89681,x89683)))+~P107(f315(f315(f317(f900(x89684,x89684)),f315(f315(f240(x89684,x89684),x89682),x89683)),f315(f315(f276(a893,x89684),a228),x89681)))
% 201.32/201.09 [8994]E(f166(x89941,x89942,f315(f315(f123(x89941),x89943),x89944)),f315(f315(f123(x89941),x89943),f166(x89941,x89942,x89944)))+P107(f315(f315(f317(x89941),f718(x89944,x89942,x89943,x89941)),f315(f161(x89941),x89943)))
% 201.32/201.09 [9045]~P27(x90451,x90452,x90453,f230(f901(x90451,a891)),f230(f901(x90452,a891)))+E(f315(f298(x90451,x90452,x90453),f315(f72(f901(x90451,a891)),x90454)),f315(f72(f901(x90452,a891)),f315(f298(x90451,x90452,x90453),x90454)))
% 201.32/201.09 [9148]P107(f315(f315(f317(x91481),f486(x91482,x91483,x91484,x91481)),x91483))+~P107(f315(f315(f317(f901(x91481,a891)),x91484),f315(f315(f53(x91481),x91483),x91482)))
% 201.32/201.09 [9151]E(x91511,x91512)+~P107(f315(f315(f317(f900(x91513,x91513)),f315(f315(f240(x91513,x91513),x91511),x91512)),f315(f315(f172(f900(x91513,x91513),a891),f2(a893)),x91514)))
% 201.32/201.09 [9232]E(f315(f273(x92321,x92321,x92322),f315(f315(f297(x92321),f486(x92322,x92323,x92324,x92321)),f177(f901(x92321,a891)))),x92324)+~P107(f315(f315(f317(f901(x92321,a891)),x92324),f315(f315(f53(x92321),x92323),x92322)))
% 201.32/201.09 [9237]~P107(f315(f315(f317(f900(x92371,x92371)),f315(f315(f240(x92371,x92371),x92373),x92372)),f295(x92371,x92374)))+P107(f315(f315(f317(f900(x92371,x92371)),f315(f315(f240(x92371,x92371),x92372),x92373)),f295(x92371,f315(f274(x92371,x92371),x92374))))
% 201.32/201.09 [9250]~P62(x92501)+E(f315(f315(f73(x92501),f315(f315(f73(x92501),f315(f315(f74(x92501),x92502),f315(f315(f29(x92501),x92503),x92502))),f38(x92501,x92503,x92502))),x92504),f315(f315(f73(x92501),x92503),x92504))
% 201.32/201.09 [9261]~P107(f315(f315(f317(x92611),x92613),x92614))+P107(f315(f315(f317(f901(x92611,a891)),f315(f273(x92611,x92611,x92612),f315(f315(f297(x92611),x92613),f177(f901(x92611,a891))))),f315(f315(f53(x92611),x92614),x92612)))
% 201.32/201.09 [9273]P107(f315(f315(f317(f900(x92731,x92731)),f315(f315(f240(x92731,x92731),x92732),x92733)),f295(x92731,x92734)))+~P107(f315(f315(f317(f900(x92731,x92731)),f315(f315(f240(x92731,x92731),x92733),x92732)),f295(x92731,f315(f274(x92731,x92731),x92734))))
% 201.32/201.09 [9361]E(f315(f315(f148(x93611,f315(f157(x93611),x93612)),f315(f315(f3(a893),f315(f315(f3(a893),f315(f178(f894(x93611)),x93612)),x93613)),f71(a893))),x93614),f315(f157(x93611),f315(f315(f148(x93611,x93612),x93613),x93614)))+~P107(f315(f315(f224(a893),x93613),f315(f178(f894(x93611)),x93612)))
% 201.32/201.09 [9364]~P107(f315(x93642,f713(x93644,x93642,x93643,x93641)))+E(f315(f315(f127(x93641),f315(f178(f894(x93641)),f166(x93641,x93642,f315(f315(f123(x93641),x93643),x93644)))),f315(f315(f123(x93641),x93643),x93644)),f315(f315(f127(x93641),f315(f178(f894(x93641)),f166(x93641,x93642,x93644))),x93644))
% 201.32/201.09 [9410]~P26(x94102,x94101,x94103,f230(f901(x94102,a891)))+P107(f315(f315(f223(f901(x94101,a891)),f315(f298(x94102,x94101,x94103),f315(f72(f901(x94102,a891)),x94104))),f315(f72(f901(x94101,a891)),f315(f298(x94102,x94101,x94103),x94104))))
% 201.32/201.09 [9422]~P5(x94221)+E(f315(f131(x94221,x94222,f315(f9(x94222,x94221,x94221),f315(f315(f10(x94221,f901(x94221,x94221),x94222),f90(x94221)),x94223)),f230(x94221)),x94224),f315(f315(f32(x94222,x94221),f315(f161(x94222),x94224)),x94223))
% 201.32/201.09 [9423]~P5(x94231)+E(f315(f131(x94231,x94232,f315(f9(x94232,x94231,x94231),f315(f315(f10(x94231,f901(x94231,x94231),x94232),f99(x94231)),x94233)),f177(x94231)),x94234),f315(f315(f33(x94232,x94231),f315(f161(x94232),x94234)),x94233))
% 201.32/201.09 [9433]E(f315(f315(f127(x94331),f315(f178(f894(x94331)),f166(x94331,x94332,f315(f315(f123(x94331),x94333),x94334)))),f315(f315(f123(x94331),x94333),x94334)),f315(f315(f127(x94331),f315(f178(f894(x94331)),f166(x94331,x94332,x94334))),x94334))+P107(f315(f315(f317(x94331),f713(x94334,x94332,x94333,x94331)),f315(f161(x94331),x94333)))
% 201.32/201.09 [9503]~P107(f315(f315(f317(f900(f894(x95034),f894(x95034))),f315(f315(f240(f894(x95034),f894(x95034)),x95033),x95032)),f146(x95034,x95031)))+P107(f315(f315(f224(a893),f646(x95031,x95032,x95033,x95034)),f315(f178(f894(x95034)),x95033)))
% 201.32/201.09 [9504]~P62(x95041)+E(f315(f315(f73(x95041),f315(f315(f73(x95041),f315(f315(f74(x95041),f315(f315(f29(x95041),x95042),x95043)),x95043)),f38(x95041,x95042,x95043))),x95044),f315(f315(f73(x95041),x95042),x95044))
% 201.32/201.09 [9533]~P107(f315(f315(f317(f900(f894(x95331),f894(x95331))),f315(f315(f240(f894(x95331),f894(x95331)),x95332),x95333)),f315(f274(f894(x95331),f894(x95331)),f146(x95331,x95334))))+P107(f315(f315(f317(f900(f894(x95331),f894(x95331))),f315(f315(f240(f894(x95331),f894(x95331)),x95332),x95333)),f146(x95331,f315(f274(x95331,x95331),x95334))))
% 201.32/201.09 [9534]P107(f315(f315(f317(f900(f894(x95341),f894(x95341))),f315(f315(f240(f894(x95341),f894(x95341)),x95342),x95343)),f315(f274(f894(x95341),f894(x95341)),f146(x95341,x95344))))+~P107(f315(f315(f317(f900(f894(x95341),f894(x95341))),f315(f315(f240(f894(x95341),f894(x95341)),x95342),x95343)),f146(x95341,f315(f274(x95341,x95341),x95344))))
% 201.32/201.09 [9578]~P107(f315(f315(f317(x95781),x95783),f315(f252(x95781,x95782),x95784)))+P107(f315(f315(f317(f900(x95781,x95782)),f315(f315(f240(x95781,x95782),x95783),f546(x95784,x95782,x95783,x95781))),x95784))
% 201.32/201.09 [9579]~P107(f315(f315(f317(x95791),x95793),f315(f252(x95791,x95792),x95794)))+P107(f315(f315(f317(f900(x95791,x95792)),f315(f315(f240(x95791,x95792),x95793),f547(x95794,x95792,x95793,x95791))),x95794))
% 201.32/201.09 [9739]~P107(f315(f315(f317(f900(x97391,x97391)),f315(f315(f240(x97391,x97391),x97392),x97394)),f315(f315(f277(x97391,x97391,x97391),x97393),f295(x97391,x97393))))+P107(f315(f315(f317(f900(x97391,x97391)),f315(f315(f240(x97391,x97391),x97392),f610(x97393,x97394,x97392,x97391))),x97393))
% 201.32/201.09 [9897]P11(x98971,x98972,x98973,x98974)+P107(f315(f315(f317(f900(x98971,x98971)),f315(f315(f240(x98971,x98971),f823(x98972,x98974,x98973,x98971)),f822(x98972,x98974,x98973,x98971))),x98973))
% 201.32/201.09 [9904]~P107(f315(f315(f317(f900(x99042,x99041)),x99044),f315(f274(x99041,x99042),x99043)))+P107(f315(f315(f317(f900(x99041,x99042)),f315(f315(f240(x99041,x99042),f618(x99043,x99044,x99041,x99042)),f617(x99043,x99044,x99041,x99042))),x99043))
% 201.32/201.09 [9928]~P107(f315(f315(f317(f900(f894(x99281),f894(x99281))),f315(f315(f240(f894(x99281),f894(x99281)),x99284),x99283)),f146(x99281,x99282)))+P107(f315(f315(f317(f900(x99281,x99281)),f315(f315(f240(x99281,x99281),f664(x99282,x99283,x99284,x99281)),f665(x99282,x99283,x99284,x99281))),x99282))
% 201.32/201.09 [10018]~P107(f315(f315(f317(f900(f894(x100181),f894(x100181))),f315(f315(f240(f894(x100181),f894(x100181)),x100182),x100184)),f146(x100181,x100183)))+P107(f315(f315(f317(f900(x100181,x100181)),f315(f315(f240(x100181,x100181),f315(f315(f153(x100181),x100182),f646(x100183,x100184,x100182,x100181))),f647(x100183,x100184,x100182,x100181))),x100183))
% 201.32/201.09 [10038]~P107(f315(f54(x100382),x100384))+E(f315(f315(f315(f58(f901(x100381,a891),x100382,f99(f901(x100381,a891))),f315(f315(f9(x100382,f901(x100381,a891),f901(x100381,a891)),f315(f315(f10(x100381,f901(f901(x100381,a891),f901(x100381,a891)),x100382),f297(x100381)),x100383)),f177(f901(x100381,a891)))),f177(f901(x100381,a891))),x100384),f315(f298(x100382,x100381,x100383),x100384))
% 201.32/201.09 [10148]~P26(x101481,x101482,x101483,f230(f901(x101481,a891)))+P107(f315(f315(f223(f901(x101481,a891)),f315(f299(x101481,x101482,x101483),f315(f315(f297(x101482),x101484),f177(f901(x101482,a891))))),f315(f315(f297(x101481),f78(x101481,f315(f315(f9(x101481,x101482,a891),f315(f315(f10(x101482,f901(x101482,a891),x101481),a312),x101483)),x101484))),f177(f901(x101481,a891)))))
% 201.32/201.09 [5693]~E(f315(f315(f123(x56931),x56932),x56934),x56933)+E(f315(f315(f164(x56931),f315(f178(f894(x56931)),x56932)),x56933),x56932)
% 201.32/201.09 [5694]~E(f315(f315(f123(x56942),x56943),x56941),x56944)+E(x56941,f315(f315(f127(x56942),f315(f178(f894(x56942)),x56943)),x56944))
% 201.32/201.09 [5705]~E(x57054,f2(a893))+E(f315(f315(f153(x57051),f315(f315(f140(x57051),x57052),x57053)),x57054),x57052)
% 201.32/201.09 [6261]~P113(x62611)+E(f315(f315(f232(x62611),f315(f315(f232(x62611),x62612),x62613)),x62614),f315(f315(f232(x62611),x62612),f315(f315(f74(a893),x62613),x62614)))
% 201.32/201.09 [6262]~P84(x62621)+E(f315(f315(f232(x62621),f315(f315(f232(x62621),x62622),x62623)),x62624),f315(f315(f232(x62621),x62622),f315(f315(f74(a893),x62623),x62624)))
% 201.32/201.09 [6270]E(x62701,f2(a893))+E(f315(f315(f153(x62702),f315(f315(f140(x62702),x62703),x62704)),x62701),f315(f315(f153(x62702),x62704),f315(f315(f3(a893),x62701),f71(a893))))
% 201.32/201.09 [6297]~P124(x62971)+E(f315(f315(f279(x62971),f315(f315(f74(x62971),x62972),x62973)),x62974),f315(f315(f74(x62971),x62972),f315(f315(f279(x62971),x62973),x62974)))
% 201.32/201.09 [6300]~P2(x63001)+E(f315(f315(f99(x63001),f315(f315(f99(x63001),x63002),x63003)),x63004),f315(f315(f99(x63001),x63002),f315(f315(f99(x63001),x63003),x63004)))
% 201.32/201.09 [6301]~P80(x63011)+E(f315(f315(f99(x63011),f315(f315(f99(x63011),x63012),x63013)),x63014),f315(f315(f99(x63011),x63012),f315(f315(f99(x63011),x63013),x63014)))
% 201.32/201.09 [6302]~P70(x63021)+E(f315(f315(f74(x63021),f315(f315(f74(x63021),x63022),x63023)),x63024),f315(f315(f74(x63021),x63022),f315(f315(f74(x63021),x63023),x63024)))
% 201.32/201.09 [6303]~P113(x63031)+E(f315(f315(f74(x63031),f315(f315(f74(x63031),x63032),x63033)),x63034),f315(f315(f74(x63031),x63032),f315(f315(f74(x63031),x63033),x63034)))
% 201.32/201.09 [6305]~P80(x63051)+E(f315(f315(f90(x63051),f315(f315(f90(x63051),x63052),x63053)),x63054),f315(f315(f90(x63051),x63052),f315(f315(f90(x63051),x63053),x63054)))
% 201.32/201.09 [6307]~P103(x63071)+E(f315(f315(f90(x63071),f315(f315(f90(x63071),x63072),x63073)),x63074),f315(f315(f90(x63071),x63072),f315(f315(f90(x63071),x63073),x63074)))
% 201.32/201.09 [6308]~P113(x63081)+E(f315(f315(f73(x63081),f315(f315(f73(x63081),x63082),x63083)),x63084),f315(f315(f73(x63081),x63082),f315(f315(f73(x63081),x63083),x63084)))
% 201.32/201.09 [6309]~P71(x63091)+E(f315(f315(f73(x63091),f315(f315(f73(x63091),x63092),x63093)),x63094),f315(f315(f73(x63091),x63092),f315(f315(f73(x63091),x63093),x63094)))
% 201.32/201.09 [6311]~P110(x63111)+E(f315(f315(f221(x63111),f315(f315(f221(x63111),x63112),x63113)),x63114),f315(f315(f221(x63111),x63112),f315(f315(f221(x63111),x63113),x63114)))
% 201.32/201.09 [6313]~P110(x63131)+E(f315(f315(f222(x63131),f315(f315(f222(x63131),x63132),x63133)),x63134),f315(f315(f222(x63131),x63132),f315(f315(f222(x63131),x63133),x63134)))
% 201.32/201.09 [6322]~P62(x63221)+E(f38(x63221,f315(f315(f73(x63221),x63222),f315(f315(f74(x63221),x63223),x63224)),x63224),f38(x63221,x63222,x63224))
% 201.32/201.09 [6323]~P62(x63231)+E(f38(x63231,f315(f315(f73(x63231),x63232),f315(f315(f74(x63231),x63233),x63234)),x63233),f38(x63231,x63232,x63233))
% 201.32/201.09 [6464]E(f315(f315(f153(x64641),f315(f315(f164(x64641),x64642),x64643)),x64644),f315(f315(f153(x64641),x64643),x64644))+~P107(f315(f315(f224(a893),x64644),x64642))
% 201.32/201.09 [6644]~E(x66442,x66444)+P107(f315(f315(f161(x66441),f315(f315(f140(x66441),x66442),x66443)),x66444))
% 201.32/201.09 [6646]~P113(x66461)+E(f315(f315(f74(x66461),f315(f315(f74(x66461),x66462),x66463)),x66464),f315(f315(f74(x66461),f315(f315(f74(x66461),x66462),x66464)),x66463))
% 201.32/201.09 [6647]~P113(x66471)+E(f315(f315(f73(x66471),f315(f315(f73(x66471),x66472),x66473)),x66474),f315(f315(f73(x66471),f315(f315(f73(x66471),x66472),x66474)),x66473))
% 201.32/201.09 [6708]~P147(x67082)+E(f315(f315(f8(x67081,x67082),f315(f18(x67082,x67081),x67083)),x67084),f315(f315(f74(x67082),f315(f89(x67082),f315(f28(x67081),x67084))),x67083))
% 201.32/201.09 [6884]E(f315(f315(f90(f901(x68841,a891)),f315(f315(f297(x68841),x68842),x68843)),x68844),f315(f315(f90(f901(x68841,a891)),x68843),x68844))+P107(f315(f315(f317(x68841),x68842),x68844))
% 201.32/201.09 [6953]~P101(x69531)+E(f315(f315(f90(x69531),f315(f315(f99(x69531),x69532),x69533)),f315(f315(f99(x69531),x69534),x69533)),f315(f315(f99(x69531),f315(f315(f90(x69531),x69532),x69534)),x69533))
% 201.32/201.09 [6954]~P82(x69541)+E(f315(f315(f221(x69541),f315(f315(f3(x69541),x69542),x69543)),f315(f315(f3(x69541),x69544),x69543)),f315(f315(f3(x69541),f315(f315(f221(x69541),x69542),x69544)),x69543))
% 201.32/201.09 [6955]~P82(x69551)+E(f315(f315(f222(x69551),f315(f315(f3(x69551),x69552),x69553)),f315(f315(f3(x69551),x69554),x69553)),f315(f315(f3(x69551),f315(f315(f222(x69551),x69552),x69554)),x69553))
% 201.32/201.09 [6957]~P114(x69571)+E(f315(f315(f73(x69571),f315(f315(f74(x69571),x69572),x69573)),f315(f315(f74(x69571),x69574),x69573)),f315(f315(f74(x69571),f315(f315(f73(x69571),x69572),x69574)),x69573))
% 201.32/201.09 [6958]~P101(x69581)+E(f315(f315(f99(x69581),f315(f315(f90(x69581),x69582),x69583)),f315(f315(f90(x69581),x69584),x69583)),f315(f315(f90(x69581),f315(f315(f99(x69581),x69582),x69584)),x69583))
% 201.32/201.09 [6959]~P86(x69591)+E(f315(f315(f221(x69591),f315(f315(f73(x69591),x69592),x69593)),f315(f315(f73(x69591),x69594),x69593)),f315(f315(f73(x69591),f315(f315(f221(x69591),x69592),x69594)),x69593))
% 201.32/201.09 [6960]~P86(x69601)+E(f315(f315(f222(x69601),f315(f315(f73(x69601),x69602),x69603)),f315(f315(f73(x69601),x69604),x69603)),f315(f315(f73(x69601),f315(f315(f222(x69601),x69602),x69604)),x69603))
% 201.32/201.09 [6961]~P124(x69611)+E(f315(f315(f3(x69611),f315(f315(f279(x69611),x69612),x69613)),f315(f315(f279(x69611),x69614),x69613)),f315(f315(f279(x69611),f315(f315(f3(x69611),x69612),x69614)),x69613))
% 201.32/201.09 [6962]~P124(x69621)+E(f315(f315(f73(x69621),f315(f315(f279(x69621),x69622),x69623)),f315(f315(f279(x69621),x69624),x69623)),f315(f315(f279(x69621),f315(f315(f73(x69621),x69622),x69624)),x69623))
% 201.32/201.09 [6963]~P110(x69631)+E(f315(f315(f222(x69631),f315(f315(f221(x69631),x69632),x69633)),f315(f315(f221(x69631),x69634),x69633)),f315(f315(f221(x69631),f315(f315(f222(x69631),x69632),x69634)),x69633))
% 201.32/201.09 [6964]~P72(x69641)+E(f315(f315(f74(x69641),f315(f315(f232(x69641),x69642),x69643)),f315(f315(f232(x69641),x69644),x69643)),f315(f315(f232(x69641),f315(f315(f74(x69641),x69642),x69644)),x69643))
% 201.32/201.09 [6965]~P113(x69651)+E(f315(f315(f74(x69651),f315(f315(f232(x69651),x69652),x69653)),f315(f315(f232(x69651),x69654),x69653)),f315(f315(f232(x69651),f315(f315(f74(x69651),x69652),x69654)),x69653))
% 201.32/201.09 [6966]~P65(x69661)+E(f315(f315(f279(x69661),f315(f315(f232(x69661),x69662),x69663)),f315(f315(f232(x69661),x69664),x69663)),f315(f315(f232(x69661),f315(f315(f279(x69661),x69662),x69664)),x69663))
% 201.32/201.09 [6967]~P110(x69671)+E(f315(f315(f221(x69671),f315(f315(f222(x69671),x69672),x69673)),f315(f315(f222(x69671),x69674),x69673)),f315(f315(f222(x69671),f315(f315(f221(x69671),x69672),x69674)),x69673))
% 201.32/201.09 [6968]~P113(x69681)+E(f315(f315(f73(x69681),f315(f315(f74(x69681),x69682),x69683)),f315(f315(f74(x69681),x69684),x69683)),f315(f315(f74(x69681),f315(f315(f73(x69681),x69682),x69684)),x69683))
% 201.32/201.09 [7000]E(f315(f315(f148(x70001,x70002),x70003),x70004),x70002)+~P107(f315(f315(f223(a893),f315(f178(f894(x70001)),x70002)),x70003))
% 201.32/201.09 [7027]~P107(f315(x70273,x70274))+P107(f315(f315(f315(f99(f901(x70271,a891)),x70272),x70273),x70274))
% 201.32/201.09 [7029]~P107(f315(x70292,x70294))+P107(f315(f315(f315(f99(f901(x70291,a891)),x70292),x70293),x70294))
% 201.32/201.09 [7049]E(f315(f315(f153(x70491),f315(f315(f123(x70491),x70492),x70493)),x70494),f315(f315(f153(x70491),x70492),x70494))+~P107(f315(f315(f224(a893),x70494),f315(f178(f894(x70491)),x70492)))
% 201.32/201.09 [7060]E(f315(f315(f3(f901(x70601,a891)),f315(f315(f297(x70601),x70602),x70603)),x70604),f315(f315(f3(f901(x70601,a891)),x70603),x70604))+~P107(f315(f315(f317(x70601),x70602),x70604))
% 201.32/201.09 [7102]~E(f128(a893,f315(f290(a893,x71021),x71022)),f315(f315(f140(a893),x71024),x71023))+E(f128(a893,f315(f290(a893,f315(f315(f73(a893),x71021),f71(a893))),x71022)),x71023)
% 201.32/201.09 [7125]~P107(f315(f315(f161(x71251),x71253),x71254))+P107(f315(f315(f161(x71251),f315(f315(f140(x71251),x71252),x71253)),x71254))
% 201.32/201.09 [7175]E(x71751,f2(a893))+E(f315(f315(f140(x71752),x71753),f315(f315(f164(x71752),f315(f315(f3(a893),x71751),f71(a893))),x71754)),f315(f315(f164(x71752),x71751),f315(f315(f140(x71752),x71753),x71754)))
% 201.32/201.09 [7277]E(f315(f315(f153(x72771),x72772),f315(f315(f3(a893),x72773),f315(f178(f894(x72771)),x72774))),f315(f315(f153(x72771),f315(f315(f123(x72771),x72774),x72772)),x72773))+P107(f315(f315(f224(a893),x72773),f315(f178(f894(x72771)),x72774)))
% 201.32/201.09 [7307]E(f315(f315(f90(f901(x73071,a891)),x73072),f315(f315(f297(x73071),x73073),x73074)),f315(f315(f297(x73071),x73073),f315(f315(f90(f901(x73071,a891)),x73072),x73074)))+~P107(f315(f315(f317(x73071),x73073),x73072))
% 201.32/201.09 [7345]E(f315(f315(f153(x73451),f315(f315(f148(x73451,x73452),x73453),x73454)),x73453),x73454)+~P107(f315(f315(f224(a893),x73453),f315(f178(f894(x73451)),x73452)))
% 201.32/201.09 [7367]E(x73671,f177(f901(x73672,a891)))+E(f315(f298(f900(x73673,x73672),x73673,f239(x73673,x73672)),f315(f315(f242(x73673,x73672),x73674),f315(f18(f901(x73672,a891),x73673),x73671))),x73674)
% 201.32/201.09 [7368]E(x73681,f177(f901(x73682,a891)))+E(f315(f298(f900(x73682,x73683),x73683,f244(x73682,x73683)),f315(f315(f242(x73682,x73683),x73681),f315(f18(f901(x73683,a891),x73682),x73684))),x73684)
% 201.32/201.09 [7443]E(f315(f315(f3(f901(x74431,a891)),f315(f315(f297(x74431),x74432),x74433)),x74434),f315(f315(f297(x74431),x74432),f315(f315(f3(f901(x74431,a891)),x74433),x74434)))+P107(f315(f315(f317(x74431),x74432),x74434))
% 201.32/201.09 [7479]~E(x74794,f177(f901(x74792,a891)))+E(f315(f298(f900(x74791,x74792),x74791,f239(x74791,x74792)),f315(f315(f242(x74791,x74792),x74793),f315(f18(f901(x74792,a891),x74791),x74794))),f177(f901(x74791,a891)))
% 201.32/201.09 [7480]~E(x74803,f177(f901(x74801,a891)))+E(f315(f298(f900(x74801,x74802),x74802,f244(x74801,x74802)),f315(f315(f242(x74801,x74802),x74803),f315(f18(f901(x74802,a891),x74801),x74804))),f177(f901(x74802,a891)))
% 201.32/201.09 [7532]~P107(f315(f315(f317(x75321),x75322),x75324))+P107(f315(f315(f317(x75321),x75322),f315(f315(f99(f901(x75321,a891)),x75323),x75324)))
% 201.32/201.09 [7535]~P107(f315(f315(f317(x75351),x75352),x75353))+P107(f315(f315(f317(x75351),x75352),f315(f315(f99(f901(x75351,a891)),x75353),x75354)))
% 201.32/201.09 [7553]E(f315(f315(f90(f901(x75531,a891)),f315(f315(f297(x75531),x75532),x75533)),x75534),f315(f315(f297(x75531),x75532),f315(f315(f90(f901(x75531,a891)),x75533),x75534)))+~P107(f315(f315(f317(x75531),x75532),x75534))
% 201.32/201.09 [7829]P107(f315(x78291,x78292))+~P107(f315(f315(f315(f90(f901(x78293,a891)),x78294),x78291),x78292))
% 201.32/201.09 [7830]P107(f315(x78301,x78302))+~P107(f315(f315(f315(f90(f901(x78303,a891)),x78301),x78304),x78302))
% 201.32/201.09 [7831]E(f315(f315(f8(x78311,a893),x78312),f315(f315(f3(f901(x78311,a891)),x78313),f315(f315(f297(x78311),x78314),f177(f901(x78311,a891))))),f315(f315(f8(x78311,a893),x78312),x78313))+P107(f315(f315(f317(x78311),x78314),x78313))
% 201.32/201.09 [7836]~P76(x78361)+E(f315(f154(x78361),f315(f315(f143(a893,x78361),x78362),f128(a893,f315(f290(a893,x78363),x78364)))),f315(f315(f8(a893,x78361),x78362),f315(f161(a893),f128(a893,f315(f290(a893,x78363),x78364)))))
% 201.32/201.09 [7837]~P76(x78371)+E(f315(f315(f8(a893,x78371),x78372),f315(f161(a893),f128(a893,f315(f290(a893,x78373),x78374)))),f315(f154(x78371),f315(f315(f143(a893,x78371),x78372),f128(a893,f315(f290(a893,x78373),x78374)))))
% 201.32/201.09 [7950]~E(x79503,x79504)+P107(f315(f55(x79501,x79502,f315(f315(f297(x79501),x79503),f177(f901(x79501,a891)))),x79504))
% 201.32/201.09 [8047]P107(f315(f315(f317(x80471),x80472),f315(f161(x80471),x80473)))+~P107(f315(f315(f317(x80471),x80472),f315(f161(x80471),f315(f315(f164(x80471),x80474),x80473))))
% 201.32/201.09 [8048]P107(f315(f315(f317(x80481),x80482),f315(f161(x80481),x80483)))+~P107(f315(f315(f317(x80481),x80482),f315(f161(x80481),f315(f315(f127(x80481),x80484),x80483))))
% 201.32/201.09 [8118]P107(f315(f315(f317(x81181),x81182),x81183))+~P107(f315(f315(f317(x81181),x81182),f315(f315(f3(f901(x81181,a891)),x81183),x81184)))
% 201.32/201.09 [8120]P107(f315(f315(f317(x81201),x81202),x81203))+~P107(f315(f315(f317(x81201),x81202),f315(f315(f90(f901(x81201,a891)),x81204),x81203)))
% 201.32/201.09 [8123]P107(f315(f315(f317(x81231),x81232),x81233))+~P107(f315(f315(f317(x81231),x81232),f315(f315(f90(f901(x81231,a891)),x81233),x81234)))
% 201.32/201.09 [8138]E(f315(f315(f123(x81381),f315(f315(f164(x81381),x81382),x81383)),f315(f315(f140(x81381),x81384),f315(f315(f127(x81381),f315(a101,x81382)),x81383))),f315(f315(f148(x81381,x81383),x81382),x81384))+~P107(f315(f315(f224(a893),x81382),f315(f178(f894(x81381)),x81383)))
% 201.32/201.09 [8161]P107(f315(f315(f317(x81611),x81612),x81613))+~P107(f315(f315(f223(f901(x81611,a891)),f315(f315(f297(x81611),x81612),x81614)),x81613))
% 201.32/201.09 [8198]~P107(f315(f315(f317(x81981),x81982),x81983))+~P107(f315(f315(f317(x81981),x81982),f315(f315(f3(f901(x81981,a891)),x81984),x81983)))
% 201.32/201.09 [8231]~P107(f315(f315(f224(a893),x82314),f315(f178(f894(x82311)),x82313)))+P107(f315(f315(f317(x82311),x82312),f315(f161(x82311),f315(f315(f148(x82311,x82313),x82314),x82312))))
% 201.32/201.09 [8284]E(f315(f315(f153(x82841),f315(f315(f127(x82841),x82842),x82843)),x82844),f315(f315(f153(x82841),x82843),f315(f315(f73(a893),x82842),x82844)))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x82842),x82844)),f315(f178(f894(x82841)),x82843)))
% 201.32/201.09 [8293]~P147(x82932)+E(f315(f315(f8(x82931,x82932),f315(f315(f10(a893,x82932,x82931),f89(x82932)),x82933)),x82934),f315(f89(x82932),f315(f315(f8(x82931,a893),x82933),x82934)))
% 201.32/201.09 [8294]~P144(x82942)+E(f315(f315(f8(x82941,x82942),f315(f315(f10(a1,x82942,x82941),f91(x82942)),x82943)),x82944),f315(f91(x82942),f315(f315(f8(x82941,a1),x82943),x82944)))
% 201.32/201.09 [8344]~P68(x83442)+E(f315(f315(f11(x83441,x83442),f315(f315(f10(x83442,x83442,x83441),f69(x83442)),x83443)),x83444),f315(f69(x83442),f315(f315(f11(x83441,x83442),x83443),x83444)))
% 201.32/201.09 [8345]~P69(x83452)+E(f315(f315(f8(x83451,x83452),f315(f315(f10(x83452,x83452,x83451),f72(x83452)),x83453)),x83454),f315(f72(x83452),f315(f315(f8(x83451,x83452),x83453),x83454)))
% 201.32/201.09 [8347]E(f315(f315(f8(x83471,a893),x83472),f315(f315(f3(f901(x83471,a891)),x83473),f315(f315(f297(x83471),x83474),f177(f901(x83471,a891))))),f315(f315(f3(a893),f315(f315(f8(x83471,a893),x83472),x83473)),f315(x83472,x83474)))+~P107(f315(f315(f317(x83471),x83474),x83473))
% 201.32/201.09 [8366]P107(f315(f315(f223(f901(x83661,a891)),x83662),x83663))+~P107(f315(f315(f223(f901(x83661,a891)),f315(f315(f297(x83661),x83664),x83662)),x83663))
% 201.32/201.09 [8490]~E(f315(f298(x84902,x84903,x84901),f230(f901(x84902,a891))),f230(f901(x84903,a891)))+E(f315(x84901,f315(f84(x84902,x84903,f230(f901(x84902,a891)),x84901),x84904)),x84904)
% 201.32/201.09 [8573]P39(x85731,x85732)+~P39(x85731,f315(f315(f297(f900(x85731,x85731)),f315(f315(f240(x85731,x85731),x85733),x85734)),x85732))
% 201.32/201.09 [8574]P59(x85741,x85742)+~P59(x85741,f315(f315(f297(f900(x85741,x85741)),f315(f315(f240(x85741,x85741),x85743),x85744)),x85742))
% 201.32/201.09 [8579]~P110(x85791)+E(f315(f315(f137(x85791,x85791,f7(x85791)),x85792),f315(f315(f137(x85791,x85791,f7(x85791)),x85793),x85794)),f315(f315(f137(x85791,x85791,f7(x85791)),x85793),f315(f315(f137(x85791,x85791,f7(x85791)),x85792),x85794)))
% 201.32/201.09 [8594]E(x85941,x85942)+~P107(f315(f55(x85943,x85944,f315(f315(f297(x85943),x85941),f177(f901(x85943,a891)))),x85942))
% 201.32/201.09 [8603]E(f315(f315(f123(x86031),f315(f315(f164(x86031),x86032),x86033)),f315(f315(f164(x86031),x86034),f315(f315(f127(x86031),x86032),x86033))),f315(f315(f164(x86031),f315(f315(f73(a893),x86032),x86034)),x86033))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x86032),x86034)),f315(f178(f894(x86031)),x86033)))
% 201.32/201.09 [8643]P107(f315(f54(x86431),x86432))+~E(x86432,f315(f298(a893,x86431,x86433),f315(f250(a893),f315(f315(f9(a893,a893,a891),f224(a893)),x86434))))
% 201.32/201.09 [8663]~P94(x86631)+E(f315(f131(x86631,x86631,f73(x86631),f315(f315(f73(x86631),x86632),x86633)),x86634),f315(f315(f73(x86631),x86632),f315(f131(x86631,x86631,f73(x86631),x86633),x86634)))
% 201.32/201.09 [8699]P107(f315(f315(f223(f901(x86991,a891)),f315(f252(x86991,x86992),x86993)),f315(f252(x86991,x86992),x86994)))+~P107(f315(f315(f223(f901(f900(x86991,x86992),a891)),x86993),x86994))
% 201.32/201.09 [8711]~P107(f315(f315(f223(a893),x87112),x87114))+P107(f315(f315(f223(f901(x87111,a891)),f315(f161(x87111),f315(f315(f164(x87111),x87112),x87113))),f315(f161(x87111),f315(f315(f164(x87111),x87114),x87113))))
% 201.32/201.09 [8712]~P107(f315(f315(f223(a893),x87124),x87122))+P107(f315(f315(f223(f901(x87121,a891)),f315(f161(x87121),f315(f315(f127(x87121),x87122),x87123))),f315(f161(x87121),f315(f315(f127(x87121),x87124),x87123))))
% 201.32/201.09 [8770]~P107(f315(f54(x87701),f315(f315(f3(f901(x87701,a891)),x87702),x87704)))+P107(f315(f54(x87701),f315(f315(f3(f901(x87701,a891)),x87702),f315(f315(f297(x87701),x87703),x87704))))
% 201.32/201.09 [8812]P107(f315(f315(f317(f900(x88121,x88121)),x88122),f295(x88121,x88123)))+~P107(f315(f315(f317(f900(x88121,x88121)),x88122),f315(f315(f172(f900(x88121,x88121),a891),x88124),x88123)))
% 201.32/201.09 [8898]~P107(f315(f54(x88981),f315(f315(f3(f901(x88981,a891)),x88982),f315(f315(f297(x88981),x88984),x88983))))+P107(f315(f54(x88981),f315(f315(f3(f901(x88981,a891)),x88982),x88983)))
% 201.32/201.09 [9109]~P80(x91091)+P107(f315(f315(f223(x91091),f315(f315(f99(x91091),x91092),f315(f315(f90(x91091),x91093),x91094))),f315(f315(f90(x91091),f315(f315(f99(x91091),x91092),x91093)),f315(f315(f99(x91091),x91092),x91094))))
% 201.32/201.09 [9110]~P110(x91101)+P107(f315(f315(f223(x91101),f315(f315(f222(x91101),x91102),f315(f315(f221(x91101),x91103),x91104))),f315(f315(f221(x91101),f315(f315(f222(x91101),x91102),x91103)),f315(f315(f222(x91101),x91102),x91104))))
% 201.32/201.09 [9257]E(x92571,x92572)+~P107(f315(f315(f317(f900(x92573,x92573)),f315(f315(f240(x92573,x92573),x92571),x92572)),f315(f161(f900(x92573,x92573)),f315(f315(f170(x92573,x92573),x92574),x92574))))
% 201.32/201.09 [9288]~P107(f315(f315(f317(f900(x92881,x92881)),f315(f315(f240(x92881,x92881),x92883),x92882)),f295(x92881,x92884)))+~P39(x92881,f315(f315(f297(f900(x92881,x92881)),f315(f315(f240(x92881,x92881),x92882),x92883)),x92884))
% 201.32/201.09 [9289]~P107(f315(f315(f317(f900(x92891,x92891)),f315(f315(f240(x92891,x92891),x92893),x92892)),f295(x92891,x92894)))+~P59(x92891,f315(f315(f297(f900(x92891,x92891)),f315(f315(f240(x92891,x92891),x92892),x92893)),x92894))
% 201.32/201.09 [9293]E(x92931,x92932)+E(f315(f125(x92933,f315(f315(f10(a891,a891,x92933),a310),f315(a312,x92931))),f315(f315(f140(x92933),x92932),x92934)),f315(f315(f140(x92933),x92932),f315(f125(x92933,f315(f315(f10(a891,a891,x92933),a310),f315(a312,x92931))),x92934)))
% 201.32/201.09 [9324]~P27(x93242,x93241,x93243,f230(f901(x93242,a891)),f230(f901(x93241,a891)))+E(f315(f298(x93241,x93242,f84(x93242,x93241,f230(f901(x93242,a891)),x93243)),x93244),f315(f299(x93242,x93241,x93243),x93244))
% 201.32/201.09 [9340]~P80(x93401)+P107(f315(f315(f223(x93401),f315(f315(f99(x93401),f315(f315(f90(x93401),x93402),x93403)),f315(f315(f90(x93401),x93402),x93404))),f315(f315(f90(x93401),x93402),f315(f315(f99(x93401),x93403),x93404))))
% 201.32/201.09 [9341]~P110(x93411)+P107(f315(f315(f223(x93411),f315(f315(f222(x93411),f315(f315(f221(x93411),x93412),x93413)),f315(f315(f221(x93411),x93412),x93414))),f315(f315(f221(x93411),x93412),f315(f315(f222(x93411),x93413),x93414))))
% 201.32/201.09 [9404]~P27(x94042,x94041,x94044,f230(f901(x94042,a891)),f230(f901(x94041,a891)))+E(f315(f250(x94041),f315(f315(f10(x94042,a891,x94041),x94043),f84(x94042,x94041,f230(f901(x94042,a891)),x94044))),f315(f298(x94042,x94041,x94044),f315(f250(x94042),x94043)))
% 201.32/201.09 [9418]~E(f315(f298(x94182,x94181,x94183),f230(f901(x94182,a891))),f230(f901(x94181,a891)))+P107(f315(f315(f223(f901(x94181,a891)),f315(f72(f901(x94181,a891)),f315(f298(x94182,x94181,x94183),x94184))),f315(f298(x94182,x94181,x94183),f315(f72(f901(x94182,a891)),x94184))))
% 201.32/201.09 [9752]P107(f315(f315(f317(f900(x97521,x97521)),f315(f315(f240(x97521,x97521),x97522),x97523)),f315(f274(x97521,x97521),f315(f315(f277(x97521,x97521,x97521),x97524),f295(x97521,x97524)))))+~P107(f315(f315(f317(f900(x97521,x97521)),f315(f315(f240(x97521,x97521),x97522),x97523)),f315(f315(f277(x97521,x97521,x97521),f315(f274(x97521,x97521),x97524)),f295(x97521,f315(f274(x97521,x97521),x97524)))))
% 201.32/201.09 [9753]~P107(f315(f315(f317(f900(x97531,x97531)),f315(f315(f240(x97531,x97531),x97532),x97533)),f315(f274(x97531,x97531),f315(f315(f277(x97531,x97531,x97531),x97534),f295(x97531,x97534)))))+P107(f315(f315(f317(f900(x97531,x97531)),f315(f315(f240(x97531,x97531),x97532),x97533)),f315(f315(f277(x97531,x97531,x97531),f315(f274(x97531,x97531),x97534)),f295(x97531,f315(f274(x97531,x97531),x97534)))))
% 201.32/201.09 [9774]~P107(f315(f315(f317(x97742),x97744),f315(f272(x97741,x97742),x97743)))+P107(f315(f315(f317(f900(x97741,x97742)),f315(f315(f240(x97741,x97742),f538(x97743,x97741,x97744,x97742)),x97744)),x97743))
% 201.32/201.09 [9775]~P107(f315(f315(f317(x97752),x97754),f315(f272(x97751,x97752),x97753)))+P107(f315(f315(f317(f900(x97751,x97752)),f315(f315(f240(x97751,x97752),f539(x97753,x97751,x97754,x97752)),x97754)),x97753))
% 201.32/201.09 [9800]~P107(f315(f315(f317(x98001),x98004),f315(f315(f99(f901(x98001,a891)),x98002),x98003)))+P107(f315(f315(f315(f99(f901(x98001,a891)),f315(f315(f9(x98001,f901(x98001,a891),a891),f317(x98001)),x98002)),f315(f315(f9(x98001,f901(x98001,a891),a891),f317(x98001)),x98003)),x98004))
% 201.32/201.09 [9801]~P107(f315(f315(f317(x98011),x98014),f315(f315(f90(f901(x98011,a891)),x98012),x98013)))+P107(f315(f315(f315(f90(f901(x98011,a891)),f315(f315(f9(x98011,f901(x98011,a891),a891),f317(x98011)),x98012)),f315(f315(f9(x98011,f901(x98011,a891),a891),f317(x98011)),x98013)),x98014))
% 201.32/201.09 [9881]~P107(f315(f315(f317(f900(x98811,x98811)),f315(f315(f240(x98811,x98811),x98814),x98813)),f315(f315(f277(x98811,x98811,x98811),x98812),f295(x98811,x98812))))+P107(f315(f315(f317(f900(x98811,x98811)),f315(f315(f240(x98811,x98811),f616(x98812,x98813,x98814,x98811)),x98813)),x98812))
% 201.32/201.09 [9916]P107(f315(f315(f317(x99161),x99162),f315(f315(f99(f901(x99161,a891)),x99163),x99164)))+~P107(f315(f315(f315(f99(f901(x99161,a891)),f315(f315(f9(x99161,f901(x99161,a891),a891),f317(x99161)),x99163)),f315(f315(f9(x99161,f901(x99161,a891),a891),f317(x99161)),x99164)),x99162))
% 201.32/201.09 [9917]P107(f315(f315(f317(x99171),x99172),f315(f315(f90(f901(x99171,a891)),x99173),x99174)))+~P107(f315(f315(f315(f90(f901(x99171,a891)),f315(f315(f9(x99171,f901(x99171,a891),a891),f317(x99171)),x99173)),f315(f315(f9(x99171,f901(x99171,a891),a891),f317(x99171)),x99174)),x99172))
% 201.32/201.09 [10198]P34(x101981,f315(f315(f9(x101981,f901(f900(x101981,x101981),a891),f901(x101981,a891)),f315(f315(f10(f901(x101981,f901(f901(f900(x101981,x101981),a891),a891)),f901(f901(f900(x101981,x101981),a891),f901(x101981,a891)),x101981),f9(x101981,f901(f900(x101981,x101981),a891),a891)),f315(f315(f10(f901(x101981,f900(x101981,x101981)),f901(x101981,f901(f901(f900(x101981,x101981),a891),a891)),x101981),f315(f10(f900(x101981,x101981),f901(f901(f900(x101981,x101981),a891),a891),x101981),f317(f900(x101981,x101981)))),f240(x101981,x101981)))),x101982),x101983,x101984)+~P107(f315(f315(f317(f900(f894(x101981),f894(x101981))),f315(f315(f240(f894(x101981),f894(x101981)),x101983),x101984)),f147(x101981,x101982)))
% 201.32/201.09 [10202]P60(x102021,f315(f315(f9(x102021,f901(f900(x102021,x102021),a891),f901(x102021,a891)),f315(f315(f10(f901(x102021,f901(f901(f900(x102021,x102021),a891),a891)),f901(f901(f900(x102021,x102021),a891),f901(x102021,a891)),x102021),f9(x102021,f901(f900(x102021,x102021),a891),a891)),f315(f315(f10(f901(x102021,f900(x102021,x102021)),f901(x102021,f901(f901(f900(x102021,x102021),a891),a891)),x102021),f315(f10(f900(x102021,x102021),f901(f901(f900(x102021,x102021),a891),a891),x102021),f317(f900(x102021,x102021)))),f240(x102021,x102021)))),x102022),x102023,x102024)+~P107(f315(f315(f317(f900(f901(x102021,a891),f901(x102021,a891))),f315(f315(f240(f901(x102021,a891),f901(x102021,a891)),x102023),x102024)),f306(x102021,x102022)))
% 201.32/201.09 [10237]E(x102371,x102372)+~E(f315(f315(f9(x102373,f901(f900(x102373,x102374),a891),f901(x102374,a891)),f315(f315(f10(f901(x102374,f901(f901(f900(x102373,x102374),a891),a891)),f901(f901(f900(x102373,x102374),a891),f901(x102374,a891)),x102373),f9(x102374,f901(f900(x102373,x102374),a891),a891)),f315(f315(f10(f901(x102374,f900(x102373,x102374)),f901(x102374,f901(f901(f900(x102373,x102374),a891),a891)),x102373),f315(f10(f900(x102373,x102374),f901(f901(f900(x102373,x102374),a891),a891),x102374),f317(f900(x102373,x102374)))),f240(x102373,x102374)))),x102371),f315(f315(f9(x102373,f901(f900(x102373,x102374),a891),f901(x102374,a891)),f315(f315(f10(f901(x102374,f901(f901(f900(x102373,x102374),a891),a891)),f901(f901(f900(x102373,x102374),a891),f901(x102374,a891)),x102373),f9(x102374,f901(f900(x102373,x102374),a891),a891)),f315(f315(f10(f901(x102374,f900(x102373,x102374)),f901(x102374,f901(f901(f900(x102373,x102374),a891),a891)),x102373),f315(f10(f900(x102373,x102374),f901(f901(f900(x102373,x102374),a891),a891),x102374),f317(f900(x102373,x102374)))),f240(x102373,x102374)))),x102372))
% 201.32/201.09 [10240]~P34(x102401,f315(f315(f9(x102401,f901(f900(x102401,x102401),a891),f901(x102401,a891)),f315(f315(f10(f901(x102401,f901(f901(f900(x102401,x102401),a891),a891)),f901(f901(f900(x102401,x102401),a891),f901(x102401,a891)),x102401),f9(x102401,f901(f900(x102401,x102401),a891),a891)),f315(f315(f10(f901(x102401,f900(x102401,x102401)),f901(x102401,f901(f901(f900(x102401,x102401),a891),a891)),x102401),f315(f10(f900(x102401,x102401),f901(f901(f900(x102401,x102401),a891),a891),x102401),f317(f900(x102401,x102401)))),f240(x102401,x102401)))),x102404),x102402,x102403)+P107(f315(f315(f317(f900(f894(x102401),f894(x102401))),f315(f315(f240(f894(x102401),f894(x102401)),x102402),x102403)),f147(x102401,x102404)))
% 201.32/201.09 [10241]~P60(x102411,f315(f315(f9(x102411,f901(f900(x102411,x102411),a891),f901(x102411,a891)),f315(f315(f10(f901(x102411,f901(f901(f900(x102411,x102411),a891),a891)),f901(f901(f900(x102411,x102411),a891),f901(x102411,a891)),x102411),f9(x102411,f901(f900(x102411,x102411),a891),a891)),f315(f315(f10(f901(x102411,f900(x102411,x102411)),f901(x102411,f901(f901(f900(x102411,x102411),a891),a891)),x102411),f315(f10(f900(x102411,x102411),f901(f901(f900(x102411,x102411),a891),a891),x102411),f317(f900(x102411,x102411)))),f240(x102411,x102411)))),x102414),x102412,x102413)+P107(f315(f315(f317(f900(f901(x102411,a891),f901(x102411,a891))),f315(f315(f240(f901(x102411,a891),f901(x102411,a891)),x102412),x102413)),f306(x102411,x102414)))
% 201.32/201.09 [7603]~P97(x76031)+E(f315(f315(f74(x76031),f315(f92(x76031),x76032)),f315(f315(f74(x76031),f315(f92(x76031),x76033)),x76034)),f315(f315(f74(x76031),f315(f92(x76031),f315(f315(f74(a1),x76032),x76033))),x76034))
% 201.32/201.09 [7604]~P97(x76041)+E(f315(f315(f73(x76041),f315(f92(x76041),x76042)),f315(f315(f3(x76041),f315(f92(x76041),x76043)),x76044)),f315(f315(f3(x76041),f315(f92(x76041),f315(f315(f73(a1),x76042),x76043))),x76044))
% 201.32/201.09 [7605]~P97(x76051)+E(f315(f315(f73(x76051),f315(f92(x76051),x76052)),f315(f315(f73(x76051),f315(f92(x76051),x76053)),x76054)),f315(f315(f73(x76051),f315(f92(x76051),f315(f315(f73(a1),x76052),x76053))),x76054))
% 201.32/201.09 [7646]~P147(x76461)+E(f315(f154(x76461),f315(f315(f143(x76462,x76461),f315(f18(x76461,x76462),x76463)),x76464)),f315(f315(f74(x76461),f315(f89(x76461),f315(f178(f894(x76462)),x76464))),x76463))
% 201.32/201.09 [7885]E(f315(f256(x78851,f315(f315(f140(f900(a88,x78851)),x78852),x78853)),x78854),f315(f244(a88,x78851),x78852))+~P107(f315(f315(f224(a88),x78854),f315(f239(a88,x78851),x78852)))
% 201.32/201.09 [7926]~P97(x79261)+E(f315(f315(f73(x79261),f315(f92(x79261),x79262)),f315(f315(f3(x79261),x79263),f315(f92(x79261),x79264))),f315(f315(f73(x79261),f315(f92(x79261),f315(f315(f73(a1),x79262),f315(f72(a1),x79264)))),x79263))
% 201.32/201.09 [8060]E(f315(f256(x80601,x80602),f315(f315(f3(a88),x80603),f315(f239(a88,x80601),x80604))),f315(f256(x80601,f315(f315(f140(f900(a88,x80601)),x80604),x80602)),x80603))+P107(f315(f315(f224(a88),x80603),f315(f239(a88,x80601),x80604)))
% 201.32/201.09 [8496]~P107(f315(f315(f317(x84961),x84962),f315(f161(x84961),f103(x84961,x84964))))+P107(f315(f315(f317(x84961),x84962),f315(f161(x84961),f103(x84961,f315(f315(f123(x84961),x84963),x84964)))))
% 201.32/201.09 [8497]~P107(f315(f315(f317(x84971),x84972),f315(f161(x84971),f103(x84971,x84973))))+P107(f315(f315(f317(x84971),x84972),f315(f161(x84971),f103(x84971,f315(f315(f123(x84971),x84973),x84974)))))
% 201.32/201.09 [8516]E(f315(f315(f99(f901(x85161,a891)),f315(f315(f90(f901(x85161,a891)),x85162),x85163)),x85164),f315(f315(f90(f901(x85161,a891)),x85162),f315(f315(f99(f901(x85161,a891)),x85163),x85164)))+~P107(f315(f315(f223(f901(x85161,a891)),x85164),x85162))
% 201.32/201.09 [8826]~E(f315(f315(f99(f901(x88261,a891)),f315(f315(f90(f901(x88261,a891)),x88263),x88264)),x88262),f315(f315(f90(f901(x88261,a891)),x88263),f315(f315(f99(f901(x88261,a891)),x88264),x88262)))+P107(f315(f315(f223(f901(x88261,a891)),x88262),x88263))
% 201.32/201.09 [9114]~P107(f315(f315(f223(f901(x91141,a891)),x91142),f315(f315(f99(f901(x91141,a891)),x91143),x91144)))+P107(f315(f315(f223(f901(x91141,a891)),f315(f315(f3(f901(x91141,a891)),x91142),x91143)),x91144))
% 201.32/201.09 [9229]~E(f315(f298(x92291,x92292,x92293),f230(f901(x92291,a891))),f230(f901(x92292,a891)))+E(f315(f298(x92291,x92292,x92293),f315(f298(x92292,x92291,f84(x92291,x92292,f230(f901(x92291,a891)),x92293)),x92294)),x92294)
% 201.32/201.09 [9234]P107(f315(f315(f223(f901(x92341,a891)),x92342),f315(f315(f99(f901(x92341,a891)),x92343),x92344)))+~P107(f315(f315(f223(f901(x92341,a891)),f315(f315(f3(f901(x92341,a891)),x92342),x92343)),x92344))
% 201.32/201.09 [9319]~P88(x93191)+E(f315(f69(x93191),f315(f315(f8(x93192,x93191),f315(f315(f10(x93191,x93191,x93192),f69(x93191)),x93193)),x93194)),f315(f315(f8(x93192,x93191),f315(f315(f10(x93191,x93191,x93192),f69(x93191)),x93193)),x93194))
% 201.32/201.09 [9494]~P88(x94941)+P107(f315(f315(f223(x94941),f2(x94941)),f315(f315(f8(x94942,x94941),f315(f315(f10(x94941,x94941,x94942),f69(x94941)),x94943)),x94944)))
% 201.32/201.09 [9498]~P69(x94981)+E(f315(f154(x94981),f315(f315(f143(x94982,x94981),f315(f66(x94981,x94981,x94982,f72(x94981)),x94983)),x94984)),f315(f72(x94981),f315(f154(x94981),f315(f315(f143(x94982,x94981),x94983),x94984))))
% 201.32/201.09 [9648]~P88(x96481)+P107(f315(f315(f223(x96481),f315(f69(x96481),f315(f315(f8(x96482,x96481),x96483),x96484))),f315(f315(f8(x96482,x96481),f315(f315(f10(x96481,x96481,x96482),f69(x96481)),x96483)),x96484)))
% 201.32/201.09 [9677]~E(f315(f315(f73(a893),x96771),x96774),f315(f315(f73(a893),x96773),x96772))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x96771),x96772)),f315(f315(f240(a893,a893),x96773),x96774))),a97))
% 201.32/201.09 [9678]~P107(f315(f315(f224(a893),x96781),x96783))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x96781),x96782)),f315(f315(f240(a893,a893),x96783),x96784))),a26))
% 201.32/201.09 [9679]~P107(f315(f315(f224(a893),x96791),x96793))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x96791),x96792)),f315(f315(f240(a893,a893),x96793),x96794))),a64))
% 201.32/201.09 [9825]E(f315(f315(f73(a893),x98251),x98252),f315(f315(f73(a893),x98253),x98254))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x98251),x98254)),f315(f315(f240(a893,a893),x98253),x98252))),a97))
% 201.32/201.09 [9856]E(f315(f315(f153(x98561),f315(f315(f127(x98561),f315(f178(f894(x98561)),f166(x98561,x98562,x98563))),x98563)),x98564),f315(f315(f153(x98561),x98563),f315(f315(f73(a893),x98564),f315(f178(f894(x98561)),f166(x98561,x98562,x98563)))))+~P107(f315(f315(f224(a893),x98564),f315(f178(f894(x98561)),f315(f315(f127(x98561),f315(f178(f894(x98561)),f166(x98561,x98562,x98563))),x98563))))
% 201.32/201.09 [9872]~P107(f315(f315(f317(x98722),x98724),f315(f315(f32(x98721,f901(x98722,a891)),f230(f901(x98721,a891))),x98723)))+P107(f315(f315(f315(f32(x98721,f901(x98722,a891)),f230(f901(x98721,a891))),f315(f315(f10(f901(x98722,a891),f901(x98722,a891),x98721),f315(f9(x98722,f901(x98722,a891),a891),f317(x98722))),x98723)),x98724))
% 201.32/201.09 [9873]~P107(f315(f315(f317(x98732),x98734),f315(f315(f33(x98731,f901(x98732,a891)),f230(f901(x98731,a891))),x98733)))+P107(f315(f315(f315(f33(x98731,f901(x98732,a891)),f230(f901(x98731,a891))),f315(f315(f10(f901(x98732,a891),f901(x98732,a891),x98731),f315(f9(x98732,f901(x98732,a891),a891),f317(x98732))),x98733)),x98734))
% 201.32/201.09 [9942]~P107(f315(f42(x99421,x99422),f315(f315(f240(a1,a1),x99424),x99423)))+P107(f315(f42(f315(f72(a1),x99421),x99422),f315(f315(f240(a1,a1),f315(f315(f315(f85(a1),f315(f315(a312,x99423),f2(a1))),f315(f72(a1),x99424)),f315(f315(f3(a1),f315(f72(a1),x99424)),f71(a1)))),f315(f315(f315(f85(a1),f315(f315(a312,x99423),f2(a1))),f2(a1)),f315(f315(f3(a1),x99422),x99423)))))
% 201.32/201.09 [9954]P107(f315(f315(f317(x99541),x99542),f315(f315(f32(x99543,f901(x99541,a891)),f230(f901(x99543,a891))),x99544)))+~P107(f315(f315(f315(f32(x99543,f901(x99541,a891)),f230(f901(x99543,a891))),f315(f315(f10(f901(x99541,a891),f901(x99541,a891),x99543),f315(f9(x99541,f901(x99541,a891),a891),f317(x99541))),x99544)),x99542))
% 201.32/201.09 [9955]P107(f315(f315(f317(x99551),x99552),f315(f315(f33(x99553,f901(x99551,a891)),f230(f901(x99553,a891))),x99554)))+~P107(f315(f315(f315(f33(x99553,f901(x99551,a891)),f230(f901(x99553,a891))),f315(f315(f10(f901(x99551,a891),f901(x99551,a891),x99553),f315(f9(x99551,f901(x99551,a891),a891),f317(x99551))),x99554)),x99552))
% 201.32/201.09 [9967]E(f315(f315(f33(a893,f901(x99671,a891)),f230(f901(a893,a891))),x99672),f315(f315(f33(a893,f901(x99671,a891)),f230(f901(a893,a891))),x99673))+~E(f315(f315(f33(a893,f901(x99671,a891)),f315(f290(a893,f2(a893)),f463(x99672,x99674,x99673,x99671))),x99673),f315(f315(f33(a893,f901(x99671,a891)),f315(f290(a893,f2(a893)),f315(f315(f73(a893),f463(x99672,x99674,x99673,x99671)),x99674))),x99672))
% 201.32/201.09 [10318]~P107(f315(f315(f223(f901(f900(x103181,x103182),a891)),x103183),x103184))+P107(f315(f315(f223(f901(x103181,f901(x103182,a891))),f315(f315(f9(x103181,f901(f900(x103181,x103182),a891),f901(x103182,a891)),f315(f315(f10(f901(x103182,f901(f901(f900(x103181,x103182),a891),a891)),f901(f901(f900(x103181,x103182),a891),f901(x103182,a891)),x103181),f9(x103182,f901(f900(x103181,x103182),a891),a891)),f315(f315(f10(f901(x103182,f900(x103181,x103182)),f901(x103182,f901(f901(f900(x103181,x103182),a891),a891)),x103181),f315(f10(f900(x103181,x103182),f901(f901(f900(x103181,x103182),a891),a891),x103182),f317(f900(x103181,x103182)))),f240(x103181,x103182)))),x103183)),f315(f315(f9(x103181,f901(f900(x103181,x103182),a891),f901(x103182,a891)),f315(f315(f10(f901(x103182,f901(f901(f900(x103181,x103182),a891),a891)),f901(f901(f900(x103181,x103182),a891),f901(x103182,a891)),x103181),f9(x103182,f901(f900(x103181,x103182),a891),a891)),f315(f315(f10(f901(x103182,f900(x103181,x103182)),f901(x103182,f901(f901(f900(x103181,x103182),a891),a891)),x103181),f315(f10(f900(x103181,x103182),f901(f901(f900(x103181,x103182),a891),a891),x103182),f317(f900(x103181,x103182)))),f240(x103181,x103182)))),x103184)))
% 201.32/201.09 [10334]P107(f315(f315(f223(f901(f900(x103341,x103342),a891)),x103343),x103344))+~P107(f315(f315(f223(f901(x103341,f901(x103342,a891))),f315(f315(f9(x103341,f901(f900(x103341,x103342),a891),f901(x103342,a891)),f315(f315(f10(f901(x103342,f901(f901(f900(x103341,x103342),a891),a891)),f901(f901(f900(x103341,x103342),a891),f901(x103342,a891)),x103341),f9(x103342,f901(f900(x103341,x103342),a891),a891)),f315(f315(f10(f901(x103342,f900(x103341,x103342)),f901(x103342,f901(f901(f900(x103341,x103342),a891),a891)),x103341),f315(f10(f900(x103341,x103342),f901(f901(f900(x103341,x103342),a891),a891),x103342),f317(f900(x103341,x103342)))),f240(x103341,x103342)))),x103343)),f315(f315(f9(x103341,f901(f900(x103341,x103342),a891),f901(x103342,a891)),f315(f315(f10(f901(x103342,f901(f901(f900(x103341,x103342),a891),a891)),f901(f901(f900(x103341,x103342),a891),f901(x103342,a891)),x103341),f9(x103342,f901(f900(x103341,x103342),a891),a891)),f315(f315(f10(f901(x103342,f900(x103341,x103342)),f901(x103342,f901(f901(f900(x103341,x103342),a891),a891)),x103341),f315(f10(f900(x103341,x103342),f901(f901(f900(x103341,x103342),a891),a891),x103342),f317(f900(x103341,x103342)))),f240(x103341,x103342)))),x103344)))
% 201.32/201.09 [9367]~P107(f315(f315(f317(f900(x93671,x93671)),x93672),f295(x93671,x93674)))+P107(f315(f315(f317(f900(x93671,x93671)),x93672),f295(x93671,f315(f315(f99(f901(f900(x93671,x93671),a891)),x93673),x93674))))
% 201.32/201.09 [9368]~P107(f315(f315(f317(f900(x93681,x93681)),x93682),f295(x93681,x93683)))+P107(f315(f315(f317(f900(x93681,x93681)),x93682),f295(x93681,f315(f315(f99(f901(f900(x93681,x93681),a891)),x93683),x93684))))
% 201.32/201.09 [10053]~P107(f315(f315(f223(a893),f315(f315(f73(a893),x100531),x100534)),f315(f315(f73(a893),x100533),x100532)))+P107(f315(f315(f223(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x100531),x100532)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x100533),x100534)),f177(f901(f900(a893,a893),a891)))))))
% 201.32/201.09 [10054]~P107(f315(f315(f224(a893),f315(f315(f73(a893),x100541),x100544)),f315(f315(f73(a893),x100543),x100542)))+P107(f315(f315(f224(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x100541),x100542)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x100543),x100544)),f177(f901(f900(a893,a893),a891)))))))
% 201.32/201.09 [10141]P107(f315(f315(f223(a893),f315(f315(f73(a893),x101411),x101412)),f315(f315(f73(a893),x101413),x101414)))+~P107(f315(f315(f223(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x101411),x101414)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x101413),x101412)),f177(f901(f900(a893,a893),a891)))))))
% 201.32/201.09 [10142]P107(f315(f315(f224(a893),f315(f315(f73(a893),x101421),x101422)),f315(f315(f73(a893),x101423),x101424)))+~P107(f315(f315(f224(a1),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x101421),x101424)),f177(f901(f900(a893,a893),a891)))))),f315(a82,f315(f273(f900(a893,a893),f900(a893,a893),a97),f315(f315(f297(f900(a893,a893)),f315(f315(f240(a893,a893),x101423),x101422)),f177(f901(f900(a893,a893),a891)))))))
% 201.32/201.09 [10184]P107(f315(f315(f223(f901(x101841,a891)),f315(f315(f33(a893,f901(x101841,a891)),f230(f901(a893,a891))),x101842)),f315(f315(f33(a893,f901(x101841,a891)),f230(f901(a893,a891))),x101843)))+~P107(f315(f315(f223(f901(x101841,a891)),f315(f315(f33(a893,f901(x101841,a891)),f315(f290(a893,f2(a893)),f464(x101843,x101844,x101842,x101841))),x101842)),f315(f315(f33(a893,f901(x101841,a891)),f315(f290(a893,f2(a893)),f315(f315(f73(a893),f464(x101843,x101844,x101842,x101841)),x101844))),x101843)))
% 201.32/201.09 [10244]P107(f315(f315(f223(a88),x102444),f2(a88)))+E(f315(f315(f247(f900(a88,a88),f900(x102441,f901(a896,a311)),f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88))),f315(x102442,x102443)),f315(f315(f10(f901(f901(a88,f901(a891,f897(f895(x102441)))),f901(f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88)))),f901(f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88))),f900(x102441,f901(a896,a311))),f315(f247(f900(a88,a88),f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88))),f265(x102441,x102442,f315(f315(f3(a88),x102444),f71(a88)),x102443))),f315(f315(f10(f901(f901(a88,f901(a891,f897(f895(x102441)))),f901(a88,f901(a891,f897(f895(x102441))))),f901(f901(a88,f901(a891,f897(f895(x102441)))),f901(f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88)))),f900(x102441,f901(a896,a311))),f315(f10(f901(a88,f901(a891,f897(f895(x102441)))),f901(f900(a88,a88),f900(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88))),f901(a88,f901(a891,f897(f895(x102441))))),f240(f901(a88,f901(a891,f897(f895(x102441)))),f900(a88,a88)))),f315(f315(f10(f901(a88,f901(a891,f897(f895(x102441)))),f901(f901(a88,f901(a891,f897(f895(x102441)))),f901(a88,f901(a891,f897(f895(x102441))))),f900(x102441,f901(a896,a311))),f37(x102441)),f315(f315(f10(x102441,f901(a88,f901(a891,f897(f895(x102441)))),f900(x102441,f901(a896,a311))),f35(x102441)),f239(x102441,f901(a896,a311))))))),f265(x102441,x102442,x102444,x102443))
% 201.32/201.09 [10308]~P107(f315(f315(f317(x103082),x103084),f315(f272(x103081,x103082),x103083)))+P107(f315(f238(x103081,x103082,f315(f315(f9(x103081,f901(f900(x103081,x103082),a891),f901(x103082,a891)),f315(f315(f10(f901(x103082,f901(f901(f900(x103081,x103082),a891),a891)),f901(f901(f900(x103081,x103082),a891),f901(x103082,a891)),x103081),f9(x103082,f901(f900(x103081,x103082),a891),a891)),f315(f315(f10(f901(x103082,f900(x103081,x103082)),f901(x103082,f901(f901(f900(x103081,x103082),a891),a891)),x103081),f315(f10(f900(x103081,x103082),f901(f901(f900(x103081,x103082),a891),a891),x103082),f317(f900(x103081,x103082)))),f240(x103081,x103082)))),x103083)),x103084))
% 201.32/201.09 [10309]~P107(f315(f315(f317(x103091),x103094),f315(f252(x103091,x103092),x103093)))+P107(f315(f237(x103091,x103092,f315(f315(f9(x103091,f901(f900(x103091,x103092),a891),f901(x103092,a891)),f315(f315(f10(f901(x103092,f901(f901(f900(x103091,x103092),a891),a891)),f901(f901(f900(x103091,x103092),a891),f901(x103092,a891)),x103091),f9(x103092,f901(f900(x103091,x103092),a891),a891)),f315(f315(f10(f901(x103092,f900(x103091,x103092)),f901(x103092,f901(f901(f900(x103091,x103092),a891),a891)),x103091),f315(f10(f900(x103091,x103092),f901(f901(f900(x103091,x103092),a891),a891),x103092),f317(f900(x103091,x103092)))),f240(x103091,x103092)))),x103093)),x103094))
% 201.32/201.09 [10321]P107(f315(f315(f317(x103211),x103212),f315(f272(x103213,x103211),x103214)))+~P107(f315(f238(x103213,x103211,f315(f315(f9(x103213,f901(f900(x103213,x103211),a891),f901(x103211,a891)),f315(f315(f10(f901(x103211,f901(f901(f900(x103213,x103211),a891),a891)),f901(f901(f900(x103213,x103211),a891),f901(x103211,a891)),x103213),f9(x103211,f901(f900(x103213,x103211),a891),a891)),f315(f315(f10(f901(x103211,f900(x103213,x103211)),f901(x103211,f901(f901(f900(x103213,x103211),a891),a891)),x103213),f315(f10(f900(x103213,x103211),f901(f901(f900(x103213,x103211),a891),a891),x103211),f317(f900(x103213,x103211)))),f240(x103213,x103211)))),x103214)),x103212))
% 201.32/201.09 [10322]P107(f315(f315(f317(x103221),x103222),f315(f252(x103221,x103223),x103224)))+~P107(f315(f237(x103221,x103223,f315(f315(f9(x103221,f901(f900(x103221,x103223),a891),f901(x103223,a891)),f315(f315(f10(f901(x103223,f901(f901(f900(x103221,x103223),a891),a891)),f901(f901(f900(x103221,x103223),a891),f901(x103223,a891)),x103221),f9(x103223,f901(f900(x103221,x103223),a891),a891)),f315(f315(f10(f901(x103223,f900(x103221,x103223)),f901(x103223,f901(f901(f900(x103221,x103223),a891),a891)),x103221),f315(f10(f900(x103221,x103223),f901(f901(f900(x103221,x103223),a891),a891),x103223),f317(f900(x103221,x103223)))),f240(x103221,x103223)))),x103224)),x103222))
% 201.32/201.09 [9978]P107(f315(f149(x99781,x99782),x99783))+~P107(f315(f149(x99781,f315(f315(f20(x99781,a891,a891),f315(f315(f10(a891,f901(a891,a891),x99781),a313),x99784)),x99782)),x99783))
% 201.32/201.09 [9979]P107(f315(f149(x99791,x99792),x99793))+~P107(f315(f149(x99791,f315(f315(f20(x99791,a891,a891),f315(f315(f10(a891,f901(a891,a891),x99791),a313),x99792)),x99794)),x99793))
% 201.32/201.09 [10065]~P113(x100651)+E(f315(f315(f74(x100651),f315(f315(f73(x100651),f71(x100651)),f71(x100651))),f315(f315(f8(a893,x100651),f315(f315(f10(x100651,x100651,a893),f315(f73(x100651),x100652)),f315(f315(f9(a893,x100651,x100651),f315(f315(f10(x100651,f901(x100651,x100651),a893),f74(x100651)),f89(x100651))),x100653))),f315(f270(a893),x100654))),f315(f315(f74(x100651),f315(f89(x100651),x100654)),f315(f315(f73(x100651),x100652),f315(f315(f73(x100651),x100652),f315(f315(f74(x100651),f315(f89(x100651),f315(f315(f3(a893),x100654),f71(a893)))),x100653)))))
% 201.32/201.09 [10205]P107(f315(x102051,f549(x102052,x102053,x102054,x102051)))+P39(x102052,f315(f250(f900(x102052,x102052)),f315(f245(x102052,x102052,a891),f315(f315(f10(f901(x102052,a891),f901(x102052,a891),x102052),f315(f20(x102052,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102052),a313),x102051))),f315(f315(f9(x102052,f901(x102052,x102052),f901(x102052,a891)),f315(f315(f10(f901(x102052,a891),f901(f901(x102052,x102052),f901(x102052,a891)),x102052),f10(x102052,a891,x102052)),a312)),x102053)))))
% 201.32/201.09 [10219]~P107(f315(f315(f224(a893),f315(x102194,f315(x102193,f549(x102191,x102193,x102194,x102192)))),f315(x102194,f549(x102191,x102193,x102194,x102192))))+P39(x102191,f315(f250(f900(x102191,x102191)),f315(f245(x102191,x102191,a891),f315(f315(f10(f901(x102191,a891),f901(x102191,a891),x102191),f315(f20(x102191,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102191),a313),x102192))),f315(f315(f9(x102191,f901(x102191,x102191),f901(x102191,a891)),f315(f315(f10(f901(x102191,a891),f901(f901(x102191,x102191),f901(x102191,a891)),x102191),f10(x102191,a891,x102191)),a312)),x102193)))))
% 201.32/201.09 [10295]~P5(x102951)+E(f30(x102951,f315(f250(x102951),f315(f315(f10(f901(f901(x102952,x102951),a891),a891,x102951),f80(f901(x102952,x102951))),f315(f315(f10(f901(f901(x102952,x102951),a891),f901(f901(x102952,x102951),a891),x102951),f315(f20(f901(x102952,x102951),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x102952,x102951)),a313),f315(f315(f9(f901(x102952,x102951),f901(f901(x102952,x102951),a891),a891),f317(f901(x102952,x102951))),x102953)))),f315(f315(f9(x102951,f901(f901(x102952,x102951),x102951),f901(f901(x102952,x102951),a891)),f315(f315(f10(f901(x102951,a891),f901(f901(f901(x102952,x102951),x102951),f901(f901(x102952,x102951),a891)),x102951),f10(x102951,a891,f901(x102952,x102951))),a312)),f315(f315(f9(f901(x102952,x102951),x102952,x102951),f7(f901(x102952,x102951))),x102954)))))),f315(f30(f901(x102952,x102951),x102953),x102954))
% 201.32/201.09 [10296]~P5(x102961)+E(f30(x102961,f315(f250(x102961),f315(f315(f10(f901(f901(x102962,x102961),a891),a891,x102961),f80(f901(x102962,x102961))),f315(f315(f10(f901(f901(x102962,x102961),a891),f901(f901(x102962,x102961),a891),x102961),f315(f20(f901(x102962,x102961),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x102962,x102961)),a313),f315(f315(f9(f901(x102962,x102961),f901(f901(x102962,x102961),a891),a891),f317(f901(x102962,x102961))),x102963)))),f315(f315(f9(x102961,f901(f901(x102962,x102961),x102961),f901(f901(x102962,x102961),a891)),f315(f315(f10(f901(x102961,a891),f901(f901(f901(x102962,x102961),x102961),f901(f901(x102962,x102961),a891)),x102961),f10(x102961,a891,f901(x102962,x102961))),a312)),f315(f315(f9(f901(x102962,x102961),x102962,x102961),f7(f901(x102962,x102961))),x102964)))))),f315(f30(f901(x102962,x102961),x102963),x102964))
% 201.32/201.09 [10297]~P5(x102971)+E(f31(x102971,f315(f250(x102971),f315(f315(f10(f901(f901(x102972,x102971),a891),a891,x102971),f80(f901(x102972,x102971))),f315(f315(f10(f901(f901(x102972,x102971),a891),f901(f901(x102972,x102971),a891),x102971),f315(f20(f901(x102972,x102971),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x102972,x102971)),a313),f315(f315(f9(f901(x102972,x102971),f901(f901(x102972,x102971),a891),a891),f317(f901(x102972,x102971))),x102973)))),f315(f315(f9(x102971,f901(f901(x102972,x102971),x102971),f901(f901(x102972,x102971),a891)),f315(f315(f10(f901(x102971,a891),f901(f901(f901(x102972,x102971),x102971),f901(f901(x102972,x102971),a891)),x102971),f10(x102971,a891,f901(x102972,x102971))),a312)),f315(f315(f9(f901(x102972,x102971),x102972,x102971),f7(f901(x102972,x102971))),x102974)))))),f315(f31(f901(x102972,x102971),x102973),x102974))
% 201.32/201.09 [10298]~P5(x102981)+E(f31(x102981,f315(f250(x102981),f315(f315(f10(f901(f901(x102982,x102981),a891),a891,x102981),f80(f901(x102982,x102981))),f315(f315(f10(f901(f901(x102982,x102981),a891),f901(f901(x102982,x102981),a891),x102981),f315(f20(f901(x102982,x102981),a891,a891),f315(f315(f10(a891,f901(a891,a891),f901(x102982,x102981)),a313),f315(f315(f9(f901(x102982,x102981),f901(f901(x102982,x102981),a891),a891),f317(f901(x102982,x102981))),x102983)))),f315(f315(f9(x102981,f901(f901(x102982,x102981),x102981),f901(f901(x102982,x102981),a891)),f315(f315(f10(f901(x102981,a891),f901(f901(f901(x102982,x102981),x102981),f901(f901(x102982,x102981),a891)),x102981),f10(x102981,a891,f901(x102982,x102981))),a312)),f315(f315(f9(f901(x102982,x102981),x102982,x102981),f7(f901(x102982,x102981))),x102984)))))),f315(f31(f901(x102982,x102981),x102983),x102984))
% 201.32/201.09 [10347]~P107(f315(f315(f317(f900(x103471,x103471)),f315(f315(f240(x103471,x103471),x103473),x103474)),f315(f315(f99(f901(f900(x103471,x103471),a891)),x103472),f295(x103471,f177(f901(f900(x103471,x103471),a891))))))+P107(f315(f315(f315(f315(f99(f901(x103471,f901(x103471,a891))),f315(f315(f9(x103471,f901(f900(x103471,x103471),a891),f901(x103471,a891)),f315(f315(f10(f901(x103471,f901(f901(f900(x103471,x103471),a891),a891)),f901(f901(f900(x103471,x103471),a891),f901(x103471,a891)),x103471),f9(x103471,f901(f900(x103471,x103471),a891),a891)),f315(f315(f10(f901(x103471,f900(x103471,x103471)),f901(x103471,f901(f901(f900(x103471,x103471),a891),a891)),x103471),f315(f10(f900(x103471,x103471),f901(f901(f900(x103471,x103471),a891),a891),x103471),f317(f900(x103471,x103471)))),f240(x103471,x103471)))),x103472)),a312),x103473),x103474))
% 201.32/201.09 [10357]P107(f315(f315(f317(f900(x103571,x103571)),f315(f315(f240(x103571,x103571),x103572),x103573)),f315(f315(f99(f901(f900(x103571,x103571),a891)),x103574),f295(x103571,f177(f901(f900(x103571,x103571),a891))))))+~P107(f315(f315(f315(f315(f99(f901(x103571,f901(x103571,a891))),f315(f315(f9(x103571,f901(f900(x103571,x103571),a891),f901(x103571,a891)),f315(f315(f10(f901(x103571,f901(f901(f900(x103571,x103571),a891),a891)),f901(f901(f900(x103571,x103571),a891),f901(x103571,a891)),x103571),f9(x103571,f901(f900(x103571,x103571),a891),a891)),f315(f315(f10(f901(x103571,f900(x103571,x103571)),f901(x103571,f901(f901(f900(x103571,x103571),a891),a891)),x103571),f315(f10(f900(x103571,x103571),f901(f901(f900(x103571,x103571),a891),a891),x103571),f317(f900(x103571,x103571)))),f240(x103571,x103571)))),x103574)),a312),x103572),x103573))
% 201.32/201.09 [10305]E(f315(f315(f140(f894(x103051)),f315(f315(f140(x103051),x103052),f315(f131(f894(x103051),f894(x103051),f123(x103051),f102(x103051)),f315(f315(f143(f894(x103051),f894(x103051)),f145(f894(x103051),x103051,f102(x103051),f315(f315(f10(f894(x103051),f901(f894(x103051),f894(x103051)),x103051),f18(f894(x103051),f894(x103051))),f315(f315(f9(x103051,f894(x103051),f894(x103051)),f140(x103051)),f102(x103051))))),x103053)))),f168(x103051,f315(f315(f140(f894(x103051)),x103054),f315(f131(f894(f894(x103051)),f894(f894(x103051)),f123(f894(x103051)),f102(f894(x103051))),f315(f315(f143(f894(x103051),f894(f894(x103051))),f145(f894(f894(x103051)),x103051,f102(f894(x103051)),f315(f18(f901(f894(x103051),f894(f894(x103051))),x103051),f315(f315(f9(f894(x103051),f894(f894(x103051)),f894(f894(x103051))),f140(f894(x103051))),f102(f894(x103051)))))),x103053))))),f168(x103051,f315(f315(f140(f894(x103051)),f315(f315(f140(x103051),x103052),x103054)),x103053)))+~P107(f315(f303(f894(f894(x103051)),f169(x103051)),f315(f315(f140(f894(x103051)),f315(f315(f140(x103051),x103052),x103054)),x103053)))
% 201.32/201.09 [10346]~P107(f315(f54(x103462),f315(f250(x103462),x103464)))+P107(f315(f54(x103461),f315(f250(x103461),f315(f315(f10(f901(x103462,a891),a891,x103461),f80(x103462)),f315(f315(f9(x103461,f901(x103462,a891),f901(x103462,a891)),f315(f315(f10(f901(x103462,f901(a891,a891)),f901(f901(x103462,a891),f901(x103462,a891)),x103461),f20(x103462,a891,a891)),f315(f315(f10(f901(x103462,a891),f901(x103462,f901(a891,a891)),x103461),f315(f10(a891,f901(a891,a891),x103462),a313)),f315(f315(f9(x103461,f901(x103462,x103461),f901(x103462,a891)),f315(f315(f10(f901(x103461,a891),f901(f901(x103462,x103461),f901(x103462,a891)),x103461),f10(x103461,a891,x103462)),a312)),x103463)))),x103464)))))
% 201.32/201.09 [8864]P26(x88641,x88642,x88643,x88644)+~P27(x88641,x88642,x88643,x88644,x88645)
% 201.32/201.09 [5325]E(x53251,x53252)+~E(f158(x53253,x53251,x53254),f158(x53253,x53252,x53255))
% 201.32/201.09 [5326]E(x53261,x53262)+~E(f115(x53263,x53264,x53261),f115(x53263,x53265,x53262))
% 201.32/201.09 [5327]E(x53271,x53272)+~E(f115(x53273,x53271,x53274),f115(x53273,x53272,x53275))
% 201.32/201.09 [8191]~E(f315(x81913,x81914),x81915)+E(f68(x81911,x81912,x81913,x81914,x81915),x81913)
% 201.32/201.09 [8721]~E(f68(x87214,x87215,x87211,x87212,x87213),x87211)+E(f315(x87211,x87212),x87213)
% 201.32/201.09 [9338]~P27(x93382,x93381,x93384,x93383,x93385)+P27(x93381,x93382,f70(x93382,x93381,x93383,x93384),x93385,x93383)
% 201.32/201.09 [9339]~P27(x93392,x93391,x93394,x93393,x93395)+P27(x93391,x93392,f84(x93392,x93391,x93393,x93394),x93395,x93393)
% 201.32/201.09 [6146]P107(f315(f238(x61461,x61462,x61463),x61464))+~P107(f315(f315(x61463,x61465),x61464))
% 201.32/201.09 [6148]P107(f315(f237(x61481,x61482,x61483),x61484))+~P107(f315(f315(x61483,x61484),x61485))
% 201.32/201.09 [6635]~E(x66355,f2(a88))+E(f315(f185(x66351,x66352,x66353,x66354),x66355),f113(x66352))
% 201.32/201.09 [6636]~E(x66365,f2(a88))+E(f315(f187(x66361,x66362,x66363,x66364),x66365),f104(x66362))
% 201.32/201.09 [6776]~E(x67763,f2(a88))+E(f315(f261(x67761,x67762,x67763,x67764),x67765),f315(f240(x67761,x67762),x67765))
% 201.32/201.09 [7841]~P20(x78414,x78411,x78412,x78415)+E(f315(f66(x78411,x78411,x78411,f315(x78412,x78413)),f315(x78412,x78413)),f315(x78412,x78413))
% 201.32/201.09 [8232]~P16(x82325,x82321,x82322)+E(f315(f66(x82321,x82321,x82321,f315(x82322,x82323)),f315(x82322,x82324)),f315(f66(x82321,x82321,x82321,f315(x82322,x82324)),f315(x82322,x82323)))
% 201.32/201.09 [8556]P107(f315(f315(f317(f900(x85561,x85561)),f315(f315(f240(x85561,x85561),x85562),x85563)),f309(x85561,x85564,x85565)))+~P107(f315(f315(f224(a893),f315(x85564,x85562)),f315(x85564,x85563)))
% 201.32/201.09 [8649]~P107(f315(f315(f317(x86494),x86493),f287(x86494,x86491,x86492,x86495)))+P107(f315(f315(x86491,x86492),x86493))
% 201.32/201.09 [8650]~P107(f315(f315(f317(x86504),x86503),f278(x86504,x86501,x86502,x86505)))+P107(f315(f315(x86501,x86502),x86503))
% 201.32/201.09 [8651]~P107(f315(f315(f317(x86514),x86512),f287(x86514,x86511,x86515,x86513)))+P107(f315(f315(x86511,x86512),x86513))
% 201.32/201.09 [8652]~P107(f315(f315(f317(x86524),x86522),f278(x86524,x86521,x86525,x86523)))+P107(f315(f315(x86521,x86522),x86523))
% 201.32/201.09 [8733]~P27(x87331,x87333,x87335,x87332,x87334)+E(f315(f28(x87331),x87332),f315(f28(x87333),x87334))
% 201.32/201.09 [8782]~P27(x87821,x87822,x87823,x87824,x87825)+E(f315(f298(x87821,x87822,x87823),x87824),x87825)
% 201.32/201.09 [8802]~P58(x88022,x88021,x88025,x88023,x88024)+E(f315(f298(x88021,x88022,x88023),x88024),f230(f901(x88022,a891)))
% 201.32/201.09 [9246]~P36(x92461,x92462,x92463,x92464,x92465)+P36(x92461,x92462,x92463,f315(f157(x92461),x92464),f315(f157(x92462),x92465))
% 201.32/201.09 [9248]~P36(x92481,x92482,x92483,f315(f157(x92481),x92484),x92485)+P36(x92481,x92482,x92483,x92484,f315(f157(x92482),x92485))
% 201.32/201.09 [9249]~P36(x92491,x92492,x92493,x92494,f315(f157(x92492),x92495))+P36(x92491,x92492,x92493,f315(f157(x92491),x92494),x92495)
% 201.32/201.09 [9255]P36(x92551,x92552,x92553,x92554,x92555)+~P36(x92551,x92552,x92553,f315(f157(x92551),x92554),f315(f157(x92552),x92555))
% 201.32/201.09 [9667]P107(f315(f315(f317(f900(f894(x96671),f894(x96671))),f315(f315(f240(f894(x96671),f894(x96671)),f315(f315(f140(x96671),x96672),x96673)),f315(f315(f140(x96671),x96672),x96674))),f146(x96671,x96675)))+~P107(f315(f315(f317(f900(f894(x96671),f894(x96671))),f315(f315(f240(f894(x96671),f894(x96671)),x96673),x96674)),f146(x96671,x96675)))
% 201.32/201.09 [9668]P107(f315(f315(f317(f900(f894(x96681),f894(x96681))),f315(f315(f240(f894(x96681),f894(x96681)),f315(f315(f123(x96681),x96682),x96683)),f315(f315(f123(x96681),x96682),x96684))),f136(x96681,x96685)))+~P107(f315(f315(f317(f900(f894(x96681),f894(x96681))),f315(f315(f240(f894(x96681),f894(x96681)),x96683),x96684)),f136(x96681,x96685)))
% 201.32/201.09 [9863]E(f315(f315(f140(x98631),f627(x98632,x98633,x98634,x98635,x98631)),f628(x98632,x98633,x98634,x98635,x98631)),x98635)+~P107(f315(f315(f317(f900(f894(x98631),f894(x98631))),f315(f315(f240(f894(x98631),f894(x98631)),x98635),f315(f315(f140(x98631),x98634),x98633))),f147(x98631,x98632)))
% 201.32/201.09 [9884]E(f315(f315(f140(x98841),f629(x98842,x98843,x98844,x98845,x98841)),f634(x98842,x98843,x98844,x98845,x98841)),x98843)+~P107(f315(f315(f317(f900(f894(x98841),f894(x98841))),f315(f315(f240(f894(x98841),f894(x98841)),f315(f315(f140(x98841),x98845),x98844)),x98843)),f147(x98841,x98842)))
% 201.32/201.09 [10028]~P107(f315(f315(f317(f900(f894(x100281),f894(x100281))),f315(f315(f240(f894(x100281),f894(x100281)),f315(f315(f140(x100281),x100285),x100282)),x100284)),f147(x100281,x100283)))+P107(f315(f315(f317(f900(f894(x100281),f894(x100281))),f315(f315(f240(f894(x100281),f894(x100281)),x100282),f634(x100283,x100284,x100282,x100285,x100281))),f147(x100281,x100283)))
% 201.32/201.09 [10108]~P107(f315(f315(f317(f900(f894(x101081),f894(x101081))),f315(f315(f240(f894(x101081),f894(x101081)),x101085),f315(f315(f140(x101081),x101084),x101083))),f147(x101081,x101082)))+P107(f315(f315(f317(f900(f894(x101081),f894(x101081))),f315(f315(f240(f894(x101081),f894(x101081)),f628(x101082,x101083,x101084,x101085,x101081)),x101083)),f147(x101081,x101082)))
% 201.32/201.09 [10299]P107(f315(f315(f317(f900(x102991,x102991)),f315(f315(f240(x102991,x102991),f315(x102992,f315(f315(f73(a893),x102993),x102994))),f315(x102992,x102993))),f295(x102991,x102995)))+~P107(f315(f315(f317(f900(x102991,x102991)),f315(f315(f240(x102991,x102991),f315(x102992,f315(a101,f595(x102994,x102993,x102995,x102992,x102991)))),f315(x102992,f595(x102994,x102993,x102995,x102992,x102991)))),f295(x102991,x102995)))
% 201.32/201.09 [5299]E(x52991,x52992)+~E(f315(f315(f140(x52993),x52994),x52991),f315(f315(f140(x52993),x52995),x52992))
% 201.32/201.09 [5300]E(x53001,x53002)+~E(f315(f315(f140(x53003),x53001),x53004),f315(f315(f140(x53003),x53002),x53005))
% 201.32/201.09 [5342]P107(f315(x53421,x53422))+~E(f315(f125(x53423,x53421),x53424),f315(f315(f140(x53423),x53422),x53425))
% 201.32/201.09 [5343]P107(f315(x53431,x53432))+~E(f315(f315(f140(x53433),x53432),x53434),f315(f125(x53433,x53431),x53435))
% 201.32/201.09 [5503]~E(f315(f315(f127(x55031),x55033),x55032),f315(f315(f140(x55031),x55034),x55035))+E(f315(f315(f153(x55031),x55032),x55033),x55034)
% 201.32/201.09 [5645]~P14(x56454,x56455,x56451)+E(f315(f315(x56451,x56452),f315(f315(x56451,x56452),x56453)),f315(f315(x56451,x56452),x56453))
% 201.32/201.09 [6206]~E(x62064,f2(a88))+E(f315(f315(f106(x62061,x62062,x62063),x62064),x62065),f315(f315(f240(f894(x62062),x62061),f102(x62062)),x62065))
% 201.32/201.09 [6280]~P110(x62802)+~E(f315(f315(f137(x62801,x62802,x62803),x62804),x62805),f102(x62801))
% 201.32/201.09 [6676]E(x66761,x66762)+~E(f315(f315(f123(x66763),x66764),f315(f315(f140(x66763),x66761),f102(x66763))),f315(f315(f123(x66763),x66765),f315(f315(f140(x66763),x66762),f102(x66763))))
% 201.32/201.09 [6677]E(x66771,x66772)+~E(f315(f315(f123(x66773),x66771),f315(f315(f140(x66773),x66774),f102(x66773))),f315(f315(f123(x66773),x66772),f315(f315(f140(x66773),x66775),f102(x66773))))
% 201.32/201.09 [6998]E(f315(f315(f297(x69981),f315(x69982,x69983)),f315(f298(x69984,x69981,x69982),x69985)),f315(f298(x69984,x69981,x69982),x69985))+~P107(f315(f315(f317(x69984),x69983),x69985))
% 201.32/201.09 [7005]~P107(f315(x70054,f315(x70053,x70055)))+P107(f315(f315(f299(x70051,x70052,x70053),x70054),x70055))
% 201.32/201.09 [7008]~P107(f315(f315(x70083,x70085),x70084))+P107(f315(f315(f231(x70081,x70082,x70083),x70084),x70085))
% 201.32/201.09 [7106]~E(f315(f298(x71061,x71062,x71063),x71064),x71065)+E(f315(f298(f901(x71061,a891),f901(x71062,a891),f298(x71061,x71062,x71063)),f315(f296(x71061),x71064)),f315(f296(x71062),x71065))
% 201.32/201.09 [7135]E(f315(f259(x71351,x71352,x71353,x71354),x71355),f315(x71354,x71355))+~P107(f315(f315(f317(x71351),x71355),x71353))
% 201.32/201.09 [7451]P26(x74511,x74512,x74513,x74514)+~P26(x74511,x74512,x74513,f315(f315(f297(x74511),x74515),x74514))
% 201.32/201.09 [7557]~P107(f315(f315(f317(x75574),x75573),x75575))+P107(f315(f315(f317(x75571),f315(x75572,x75573)),f315(f298(x75574,x75571,x75572),x75575)))
% 201.32/201.09 [7578]~P110(x75782)+E(f139(x75781,x75782,x75783,f315(f125(x75781,x75784),x75785)),f315(f125(x75781,x75784),f139(x75781,x75782,x75783,x75785)))
% 201.32/201.09 [7609]P107(f315(x76091,f315(x76092,x76093)))+~P107(f315(f315(f299(x76094,x76095,x76092),x76091),x76093))
% 201.32/201.09 [7612]P107(f315(f315(x76121,x76122),x76123))+~P107(f315(f315(f231(x76124,x76125,x76121),x76123),x76122))
% 201.32/201.09 [7676]~P107(f315(f315(f317(x76763),f315(x76764,x76762)),x76765))+P107(f315(f315(f317(x76761),x76762),f315(f299(x76761,x76763,x76764),x76765)))
% 201.32/201.09 [8073]~P107(f315(f315(f317(x80735),x80733),f315(f299(x80735,x80731,x80732),x80734)))+P107(f315(f315(f317(x80731),f315(x80732,x80733)),x80734))
% 201.32/201.09 [8371]~P16(x83712,x83711,x83713)+E(f315(f131(x83711,x83712,f315(f9(x83712,x83711,x83711),x83713),x83714),f141(x83712,x83715)),f315(f315(f57(x83712,x83711,x83713),x83714),f315(f161(x83712),x83715)))
% 201.32/201.09 [8393]E(f315(x83931,f459(x83932,x83931,x83933,x83934)),x83934)+~P107(f315(f315(f317(x83935),x83934),f315(f298(x83933,x83935,x83931),x83932)))
% 201.32/201.09 [8696]~E(x86962,f315(f315(f140(x86961),x86964),x86965))+P107(f315(f315(f317(f900(f894(x86961),f894(x86961))),f315(f315(f240(f894(x86961),f894(x86961)),f102(x86961)),x86962)),f136(x86961,x86963)))
% 201.32/201.09 [8743]E(f315(x87431,f315(f84(x87432,x87433,x87434,x87431),x87435)),x87435)+~P107(f315(f315(f317(x87433),x87435),f315(f298(x87432,x87433,x87431),x87434)))
% 201.32/201.09 [8746]P26(x87461,x87462,f84(x87462,x87461,x87463,x87464),x87465)+~P107(f315(f315(f223(f901(x87461,a891)),x87465),f315(f298(x87462,x87461,x87464),x87463)))
% 201.32/201.09 [8753]~P36(x87531,x87533,x87535,x87532,x87534)+E(f315(f178(f894(x87531)),x87532),f315(f178(f894(x87533)),x87534))
% 201.32/201.09 [8764]P107(f315(f315(f223(f901(x87641,a891)),f315(f315(f32(x87642,f901(x87641,a891)),x87643),x87644)),f315(x87644,x87645)))+~P107(f315(f315(f317(x87642),x87645),x87643))
% 201.32/201.09 [8818]~P58(x88181,x88182,x88183,x88185,x88184)+E(f315(f298(x88181,x88182,x88183),f230(f901(x88181,a891))),x88184)
% 201.32/201.09 [9043]E(f315(f125(x90431,x90432),f719(x90433,x90434,x90435,x90432,x90431)),x90433)+~E(f315(f125(x90431,x90432),x90435),f315(f315(f140(x90431),x90434),x90433))
% 201.32/201.09 [9044]E(f315(f125(x90441,x90442),f722(x90443,x90442,x90444,x90445,x90441)),x90444)+~E(f315(f315(f140(x90441),x90445),x90444),f315(f125(x90441,x90442),x90443))
% 201.32/201.09 [9135]E(f315(f178(f894(x91351)),x91352),x91353)+~P107(f315(f315(f317(f900(f894(x91351),f894(x91351))),f315(f315(f240(f894(x91351),f894(x91351)),x91354),x91352)),f315(f132(x91351,x91355),x91353)))
% 201.32/201.09 [9136]E(f315(f178(f894(x91361)),x91362),x91363)+~P107(f315(f315(f317(f900(f894(x91361),f894(x91361))),f315(f315(f240(f894(x91361),f894(x91361)),x91362),x91364)),f315(f132(x91361,x91365),x91363)))
% 201.32/201.09 [9205]P107(f315(f315(f317(x92051),f459(x92052,x92053,x92051,x92054)),x92052))+~P107(f315(f315(f317(x92055),x92054),f315(f298(x92051,x92055,x92053),x92052)))
% 201.32/201.09 [9365]E(f315(f298(x93651,x93652,x93653),f461(x93654,x93653,x93651,x93655,x93652)),x93655)+~P107(f315(f315(f223(f901(x93652,a891)),x93655),f315(f298(x93651,x93652,x93653),x93654)))
% 201.32/201.09 [9685]P107(f315(f315(f317(f900(f894(x96851),f894(x96851))),f315(f315(f240(f894(x96851),f894(x96851)),f315(f315(f140(x96851),x96852),x96853)),f315(f315(f140(x96851),x96852),x96854))),f295(f894(x96851),f146(x96851,x96855))))+~P107(f315(f315(f317(f900(f894(x96851),f894(x96851))),f315(f315(f240(f894(x96851),f894(x96851)),x96853),x96854)),f295(f894(x96851),f146(x96851,x96855))))
% 201.32/201.09 [9716]~E(f315(x97163,f672(x97165,x97164,x97163,x97162,x97161)),f315(x97165,f672(x97165,x97164,x97163,x97162,x97161)))+E(f315(f315(f143(x97161,x97162),x97163),x97164),f315(f315(f143(x97161,x97162),x97165),x97164))
% 201.32/201.09 [9791]~E(f315(f125(x97911,x97915),x97914),f315(f315(f140(x97911),x97913),x97912))+E(f315(f315(f123(x97911),f720(x97912,x97913,x97914,x97915,x97911)),f315(f315(f140(x97911),x97913),f719(x97912,x97913,x97914,x97915,x97911))),x97914)
% 201.32/201.09 [9792]~E(f315(f315(f140(x97921),x97925),x97924),f315(f125(x97921,x97923),x97922))+E(f315(f315(f123(x97921),f723(x97922,x97923,x97924,x97925,x97921)),f315(f315(f140(x97921),x97925),f722(x97922,x97923,x97924,x97925,x97921))),x97922)
% 201.32/201.09 [9796]E(f315(f315(f143(x97961,x97962),x97963),x97964),f315(f315(f143(x97961,x97962),x97965),x97964))+P107(f315(f315(f317(x97961),f672(x97963,x97964,x97965,x97962,x97961)),f315(f161(x97961),x97964)))
% 201.32/201.09 [9826]~P107(f315(f315(f317(x98265),x98264),f315(f273(x98261,x98265,x98263),x98262)))+P107(f315(f315(f317(x98261),f483(x98262,x98263,x98261,x98264,x98265)),x98262))
% 201.32/201.09 [9827]~P107(f315(f315(f317(x98275),x98274),f315(f273(x98271,x98275,x98273),x98272)))+P107(f315(f315(f317(x98271),f488(x98272,x98273,x98271,x98274,x98275)),x98272))
% 201.32/201.09 [9857]~P107(f315(f315(f223(f901(x98575,a891)),x98574),f315(f298(x98571,x98575,x98573),x98572)))+P107(f315(f315(f223(f901(x98571,a891)),f461(x98572,x98573,x98571,x98574,x98575)),x98572))
% 201.32/201.09 [10300]E(x103001,f2(a88))+E(f212(f900(f894(x103002),x103003),f900(x103002,x103003),f315(f315(f240(f894(x103002),x103003),f102(x103002)),x103004),f315(f245(x103002,x103003,f900(f894(x103002),x103003)),f315(f315(f9(x103002,f901(x103003,f900(f894(x103002),x103003)),f901(x103003,f900(f894(x103002),x103003))),f315(f315(f10(f901(f900(f894(x103002),x103003),f900(f894(x103002),x103003)),f901(f901(x103003,f900(f894(x103002),x103003)),f901(x103003,f900(f894(x103002),x103003))),x103002),f10(f900(f894(x103002),x103003),f900(f894(x103002),x103003),x103003)),f315(f315(f10(f901(f894(x103002),f901(x103003,f900(f894(x103002),x103003))),f901(f900(f894(x103002),x103003),f900(f894(x103002),x103003)),x103002),f245(f894(x103002),x103003,f900(f894(x103002),x103003))),f315(f315(f10(f901(f894(x103002),f894(x103002)),f901(f894(x103002),f901(x103003,f900(f894(x103002),x103003))),x103002),f315(f10(f894(x103002),f901(x103003,f900(f894(x103002),x103003)),f894(x103002)),f240(f894(x103002),x103003))),f140(x103002))))),f315(f106(x103003,x103002,x103005),f315(f315(f3(a88),x103001),f71(a88))))),f315(x103005,x103004)),f315(f315(f106(x103003,x103002,x103005),x103001),x103004))
% 201.32/201.09 [6083]E(x60831,x60832)+~E(f315(f244(x60833,x60834),f315(f315(f240(x60833,x60834),x60835),x60831)),x60832)
% 201.32/201.09 [6084]E(x60841,x60842)+~E(f315(f239(x60843,x60844),f315(f315(f240(x60843,x60844),x60841),x60845)),x60842)
% 201.32/201.09 [6355]~E(x63553,f315(f315(f123(x63551),x63554),f315(f315(f140(x63551),x63552),x63555)))+P107(f315(f315(f317(x63551),x63552),f315(f161(x63551),x63553)))
% 201.32/201.09 [6763]E(f315(f298(x67631,x67632,f315(f18(x67632,x67631),x67633)),x67634),f315(f315(f297(x67632),x67633),f177(f901(x67632,a891))))+~P107(f315(f315(f317(x67631),x67635),x67634))
% 201.32/201.09 [6837]E(f315(f315(f99(f901(x68371,a891)),f315(f161(x68371),x68372)),f315(f161(x68371),x68373)),f315(f161(x68371),x68374))+~E(f155(x68371,x68375,x68374),f315(f315(f240(f894(x68371),f894(x68371)),x68372),x68373))
% 201.32/201.09 [6938]~P110(x69382)+E(f315(f178(f894(x69381)),f315(f315(f137(x69381,x69382,x69383),x69384),x69385)),f315(a101,f315(f178(f894(x69381)),x69385)))
% 201.32/201.09 [6952]~P110(x69522)+E(f315(f161(x69521),f315(f315(f137(x69521,x69522,x69523),x69524),x69525)),f315(f315(f297(x69521),x69524),f315(f161(x69521),x69525)))
% 201.32/201.09 [7229]~P113(x72291)+E(f315(f315(f74(x72291),f315(f315(f74(x72291),x72292),x72293)),f315(f315(f74(x72291),x72294),x72295)),f315(f315(f74(x72291),f315(f315(f74(x72291),x72292),x72294)),f315(f315(f74(x72291),x72293),x72295)))
% 201.32/201.09 [7230]~P113(x72301)+E(f315(f315(f73(x72301),f315(f315(f73(x72301),x72302),x72303)),f315(f315(f73(x72301),x72304),x72305)),f315(f315(f73(x72301),f315(f315(f73(x72301),x72302),x72304)),f315(f315(f73(x72301),x72303),x72305)))
% 201.32/201.09 [7231]~P65(x72311)+E(f315(f315(f279(x72311),f315(f315(f74(x72311),x72312),x72313)),f315(f315(f74(x72311),x72314),x72315)),f315(f315(f74(x72311),f315(f315(f279(x72311),x72312),x72314)),f315(f315(f279(x72311),x72313),x72315)))
% 201.32/201.09 [7245]~P110(x72451)+E(f291(x72451,f315(f315(f222(x72451),x72452),x72453),f315(f315(f221(x72451),x72454),x72455)),f315(f315(f90(f901(x72451,a891)),f291(x72451,x72452,x72454)),f291(x72451,x72453,x72455)))
% 201.32/201.09 [7246]~P110(x72461)+E(f294(x72461,f315(f315(f222(x72461),x72462),x72463),f315(f315(f221(x72461),x72464),x72465)),f315(f315(f90(f901(x72461,a891)),f294(x72461,x72462,x72464)),f294(x72461,x72463,x72465)))
% 201.32/201.09 [7247]~P110(x72471)+E(f293(x72471,f315(f315(f222(x72471),x72472),x72473),f315(f315(f221(x72471),x72474),x72475)),f315(f315(f90(f901(x72471,a891)),f293(x72471,x72472,x72474)),f293(x72471,x72473,x72475)))
% 201.32/201.09 [7248]~P110(x72481)+E(f315(f315(f90(f901(x72481,a891)),f315(f290(x72481,x72482),x72483)),f315(f290(x72481,x72484),x72485)),f315(f290(x72481,f315(f315(f222(x72481),x72482),x72484)),f315(f315(f221(x72481),x72483),x72485)))
% 201.32/201.09 [7370]~P107(f315(x73701,f372(x73703,x73702,x73701)))+P107(f315(x73701,f315(f315(f240(x73702,x73703),x73704),x73705)))
% 201.32/201.09 [7482]~E(x74822,f315(x74824,x74825))+P107(f315(f315(f317(x74821),x74822),f315(f298(x74823,x74821,x74824),f230(f901(x74823,a891)))))
% 201.32/201.09 [7554]~P14(x75543,x75542,x75544)+P14(x75541,x75542,f315(f315(f10(x75543,f901(x75542,x75542),x75541),x75544),x75545))
% 201.32/201.09 [7555]~P16(x75553,x75552,x75554)+P16(x75551,x75552,f315(f315(f10(x75553,f901(x75552,x75552),x75551),x75554),x75555))
% 201.32/201.09 [7693]~P26(x76931,x76932,x76933,x76934)+P26(x76931,x76932,x76933,f315(f315(f3(f901(x76931,a891)),x76934),x76935))
% 201.32/201.09 [7850]~P107(f315(f315(x78503,x78504),x78505))+P107(f315(f315(f245(x78501,x78502,a891),x78503),f315(f315(f240(x78501,x78502),x78504),x78505)))
% 201.32/201.09 [7963]~P107(f315(x79632,x79634))+~E(f315(f315(f127(x79631),f315(f178(f894(x79631)),f166(x79631,x79632,x79633))),x79633),f315(f315(f140(x79631),x79634),x79635))
% 201.32/201.09 [7983]P26(x79831,x79832,x79833,x79834)+~P26(x79831,x79832,x79833,f315(f315(f99(f901(x79831,a891)),x79835),x79834))
% 201.32/201.09 [7984]P26(x79841,x79842,x79843,x79844)+~P26(x79841,x79842,x79843,f315(f315(f99(f901(x79841,a891)),x79844),x79845))
% 201.32/201.09 [8031]~P110(x80312)+E(f315(f315(f137(x80311,x80312,x80313),x80314),f139(x80311,x80312,x80313,x80315)),f139(x80311,x80312,x80313,f315(f315(f140(x80311),x80314),x80315)))
% 201.32/201.09 [8348]~P14(x83482,x83481,x83483)+E(f315(f131(x83481,x83482,f315(f9(x83482,x83481,x83481),x83483),x83484),x83485),f315(f315(f57(x83482,x83481,x83483),x83484),f315(f161(x83482),x83485)))
% 201.32/201.09 [8376]~E(f315(f315(f127(x83761),f315(f178(f894(x83761)),f166(x83761,x83762,x83763))),x83763),f315(f315(f140(x83761),x83764),x83765))+E(f315(f315(f123(x83761),f166(x83761,x83762,x83763)),f315(f315(f140(x83761),x83764),x83765)),x83763)
% 201.32/201.09 [8403]P107(f315(f315(x84031,x84032),x84033))+~P107(f315(f315(f245(x84034,x84035,a891),x84031),f315(f315(f240(x84034,x84035),x84032),x84033)))
% 201.32/201.09 [8881]P107(f315(f315(f223(f901(x88811,a891)),f315(f298(x88812,x88811,x88813),x88814)),f315(f298(x88812,x88811,x88813),x88815)))+~P107(f315(f315(f223(f901(x88812,a891)),x88814),x88815))
% 201.32/201.09 [8882]P107(f315(f315(f223(f901(x88821,a891)),f315(f299(x88821,x88822,x88823),x88824)),f315(f299(x88821,x88822,x88823),x88825)))+~P107(f315(f315(f223(f901(x88822,a891)),x88824),x88825))
% 201.32/201.09 [8961]E(x89611,f2(a88))+E(f315(f315(f247(x89612,x89613,x89612,f900(x89613,x89612)),f315(x89614,x89615)),f261(x89613,x89612,f315(f315(f3(a88),x89611),f71(a88)),x89614)),f315(f261(x89613,x89612,x89611,x89614),x89615))
% 201.32/201.09 [9068]P107(f315(f315(f243(x90681,x90682,a891,x90683),x90684),x90685))+~P107(f315(x90683,f315(f315(f240(x90681,x90682),x90684),x90685)))
% 201.32/201.09 [9344]~P107(f315(f315(f243(x93442,x93443,a891,x93441),x93444),x93445))+P107(f315(x93441,f315(f315(f240(x93442,x93443),x93444),x93445)))
% 201.32/201.09 [9528]~P107(f315(f315(f317(x95282),x95285),f315(f298(x95281,x95282,x95284),x95283)))+P107(f315(f315(f317(x95281),f315(f84(x95281,x95282,x95283,x95284),x95285)),x95283))
% 201.32/201.09 [9627]~P107(f315(f54(x96273),f315(f298(x96272,x96273,x96275),f230(f901(x96272,a891)))))+P107(f315(f54(x96271),f315(f298(x96272,x96271,f315(f315(f10(x96273,x96271,x96272),x96274),x96275)),f230(f901(x96272,a891)))))
% 201.32/201.09 [9652]P107(f315(f315(f223(f901(f901(x96521,a891),a891)),f315(f298(f901(x96522,a891),f901(x96521,a891),f298(x96522,x96521,x96523)),f315(f296(x96522),x96524))),f315(f296(x96521),x96525)))+~P107(f315(f315(f223(f901(x96521,a891)),f315(f298(x96522,x96521,x96523),x96524)),x96525))
% 201.32/201.09 [9724]E(x97241,x97242)+~P107(f315(f59(x97243,x97244,x97245,x97241,f177(f901(x97243,a891))),x97242))
% 201.32/201.09 [9740]E(f315(f315(f240(x97401,x97402),f523(x97403,x97404,x97405,x97402,x97401)),f524(x97403,x97404,x97405,x97402,x97401)),x97405)+~P107(f315(f315(f317(f900(x97401,x97402)),x97405),f315(f315(f242(x97401,x97402),x97404),x97403)))
% 201.32/201.09 [9832]P107(f315(f315(f317(x98321),f523(x98322,x98323,x98324,x98325,x98321)),x98323))+~P107(f315(f315(f317(f900(x98321,x98325)),x98324),f315(f315(f242(x98321,x98325),x98323),x98322)))
% 201.32/201.09 [9987]P107(f315(f315(f317(x99871),f524(x99872,x99873,x99874,x99871,x99875)),f315(x99872,f523(x99872,x99873,x99874,x99871,x99875))))+~P107(f315(f315(f317(f900(x99875,x99871)),x99874),f315(f315(f242(x99875,x99871),x99873),x99872)))
% 201.32/201.09 [10007]P107(f315(f315(f317(f900(x100071,x100071)),f315(f315(f240(x100071,x100071),x100072),f613(x100073,x100074,x100075,x100072,x100071))),x100073))+~P107(f315(f315(f317(f900(x100071,x100071)),f315(f315(f240(x100071,x100071),x100072),x100075)),f315(f315(f172(f900(x100071,x100071),a891),f315(a101,x100074)),x100073)))
% 201.32/201.09 [10008]P107(f315(f315(f317(f900(x100081,x100081)),f315(f315(f240(x100081,x100081),x100082),f614(x100083,x100084,x100085,x100082,x100081))),x100083))+~P107(f315(f315(f317(f900(x100081,x100081)),f315(f315(f240(x100081,x100081),x100082),x100085)),f315(f315(f172(f900(x100081,x100081),a891),f315(a101,x100084)),x100083)))
% 201.32/201.09 [10025]~P107(f315(f315(f317(f900(f894(x100251),f894(x100251))),f315(f315(f240(f894(x100251),f894(x100251)),f315(f315(f140(x100251),x100252),x100255)),x100254)),f147(x100251,x100253)))+P107(f315(f315(f317(f900(x100251,x100251)),f315(f315(f240(x100251,x100251),x100252),f629(x100253,x100254,x100255,x100252,x100251))),x100253))
% 201.32/201.09 [6435]P107(f315(x64352,x64354))+E(f166(x64351,x64352,f315(f315(f123(x64351),x64353),f315(f315(f140(x64351),x64354),x64355))),f166(x64351,x64352,x64353))
% 201.32/201.09 [6484]~P80(x64842)+E(f315(f315(f315(f99(f901(x64841,x64842)),x64843),x64844),x64845),f315(f315(f99(x64842),f315(x64843,x64845)),f315(x64844,x64845)))
% 201.32/201.09 [6486]~P3(x64862)+E(f315(f315(f315(f3(f901(x64861,x64862)),x64863),x64864),x64865),f315(f315(f3(x64862),f315(x64863,x64865)),f315(x64864,x64865)))
% 201.32/201.09 [6488]~P80(x64882)+E(f315(f315(f315(f90(f901(x64881,x64882)),x64883),x64884),x64885),f315(f315(f90(x64882),f315(x64883,x64885)),f315(x64884,x64885)))
% 201.32/201.09 [6508]E(x65081,x65082)+E(f315(f315(f153(x65083),f315(f315(f148(x65083,x65084),x65081),x65085)),x65082),f315(f315(f153(x65083),x65084),x65082))
% 201.32/201.09 [6781]~E(x67814,f177(f901(x67813,a891)))+E(f315(f315(f99(f901(x67811,a891)),x67812),f315(f315(f33(x67813,f901(x67811,a891)),x67814),x67815)),x67812)
% 201.32/201.09 [6782]~E(x67824,f177(f901(x67823,a891)))+E(f315(f315(f3(f901(x67821,a891)),x67822),f315(f315(f33(x67823,f901(x67821,a891)),x67824),x67825)),x67822)
% 201.32/201.09 [6783]~E(x67834,f177(f901(x67833,a891)))+E(f315(f315(f90(f901(x67831,a891)),x67832),f315(f315(f32(x67833,f901(x67831,a891)),x67834),x67835)),x67832)
% 201.32/201.09 [6799]~E(x67994,f177(f901(x67993,a891)))+E(f315(f315(f297(x67991),x67992),f315(f315(f33(x67993,f901(x67991,a891)),x67994),x67995)),f315(f315(f297(x67991),x67992),f177(f901(x67991,a891))))
% 201.32/201.09 [7601]E(f315(f315(f153(x76011),f315(f315(f143(x76012,x76011),x76013),x76014)),x76015),f315(x76013,f315(f315(f153(x76012),x76014),x76015)))+~P107(f315(f315(f224(a893),x76015),f315(f178(f894(x76012)),x76014)))
% 201.32/201.09 [7664]E(f315(f315(f99(f901(x76641,a891)),f315(x76642,x76643)),f315(f315(f33(x76644,f901(x76641,a891)),x76645),x76642)),f315(f315(f33(x76644,f901(x76641,a891)),x76645),x76642))+~P107(f315(f315(f317(x76644),x76643),x76645))
% 201.32/201.09 [7665]E(f315(f315(f90(f901(x76651,a891)),f315(x76652,x76653)),f315(f315(f32(x76654,f901(x76651,a891)),x76655),x76652)),f315(f315(f32(x76654,f901(x76651,a891)),x76655),x76652))+~P107(f315(f315(f317(x76654),x76653),x76655))
% 201.32/201.09 [8271]~E(x82713,f177(f901(x82711,a891)))+E(f315(f315(f33(x82711,f901(x82712,a891)),x82713),f315(f315(f10(f901(x82712,a891),f901(x82712,a891),x82711),f315(f297(x82712),x82714)),x82715)),f177(f901(x82712,a891)))
% 201.32/201.09 [8276]~P107(f315(f315(f317(x82764),x82763),x82765))+P107(f315(f315(f223(f901(x82761,a891)),f315(x82762,x82763)),f315(f315(f33(x82764,f901(x82761,a891)),x82765),x82762)))
% 201.32/201.09 [8402]~E(f315(x84024,x84022),x84025)+P107(f315(f315(f317(x84021),x84022),f315(f299(x84021,x84023,x84024),f315(f315(f297(x84023),x84025),f177(f901(x84023,a891))))))
% 201.32/201.09 [8449]~P56(x84491,x84492,f315(f274(x84492,x84491),x84493))+E(f315(f315(f90(f901(x84491,a891)),f315(f273(x84492,x84491,x84493),x84494)),f315(f273(x84492,x84491,x84493),x84495)),f315(f273(x84492,x84491,x84493),f315(f315(f90(f901(x84492,a891)),x84494),x84495)))
% 201.32/201.09 [8525]E(x85251,f2(a88))+E(f315(f107(x85252,x85253,f315(x85254,f315(f315(f3(a88),x85251),f71(a88)))),f315(f315(f9(x85252,a88,f895(x85253)),x85255),x85251)),f315(f187(x85252,x85253,x85254,x85255),x85251))
% 201.32/201.09 [8563]E(x85631,f177(f901(x85632,a891)))+E(f315(f315(f33(x85632,f901(x85633,a891)),x85631),f315(f315(f10(f901(x85633,a891),f901(x85633,a891),x85632),f315(f297(x85633),x85634)),x85635)),f315(f315(f297(x85633),x85634),f315(f315(f33(x85632,f901(x85633,a891)),x85631),x85635)))
% 201.32/201.09 [8614]~P26(x86142,x86141,x86143,f230(f901(x86142,a891)))+E(f315(f315(f3(f901(x86141,a891)),f315(f298(x86142,x86141,x86143),x86144)),f315(f298(x86142,x86141,x86143),x86145)),f315(f298(x86142,x86141,x86143),f315(f315(f3(f901(x86142,a891)),x86144),x86145)))
% 201.32/201.09 [8615]~P26(x86152,x86151,x86153,f230(f901(x86152,a891)))+E(f315(f315(f90(f901(x86151,a891)),f315(f298(x86152,x86151,x86153),x86154)),f315(f298(x86152,x86151,x86153),x86155)),f315(f298(x86152,x86151,x86153),f315(f315(f90(f901(x86152,a891)),x86154),x86155)))
% 201.32/201.09 [8683]~P107(f315(f315(f60(x86831,x86832,x86835),x86833),x86834))+P107(f315(f315(f317(f900(x86831,x86832)),f315(f315(f240(x86831,x86832),x86833),x86834)),x86835))
% 201.32/201.09 [8715]P107(f315(f315(f317(x87151),x87152),f315(f272(x87153,x87151),x87154)))+~P107(f315(f315(f317(f900(x87153,x87151)),f315(f315(f240(x87153,x87151),x87155),x87152)),x87154))
% 201.32/201.09 [8717]P107(f315(f315(f317(x87171),x87172),f315(f252(x87171,x87173),x87174)))+~P107(f315(f315(f317(f900(x87171,x87173)),f315(f315(f240(x87171,x87173),x87172),x87175)),x87174))
% 201.32/201.09 [8865]P107(f315(f315(f60(x88651,x88652,x88653),x88654),x88655))+~P107(f315(f315(f317(f900(x88651,x88652)),f315(f315(f240(x88651,x88652),x88654),x88655)),x88653))
% 201.32/201.09 [8904]E(f315(x89041,x89042),x89043)+~P107(f315(f315(f317(x89044),x89042),f315(f299(x89044,x89045,x89041),f315(f315(f297(x89045),x89043),f177(f901(x89045,a891))))))
% 201.32/201.09 [9132]P107(f315(f315(f317(f900(x91321,x91322)),f315(f315(f240(x91321,x91322),x91323),x91324)),f315(f274(x91322,x91321),x91325)))+~P107(f315(f315(f317(f900(x91322,x91321)),f315(f315(f240(x91322,x91321),x91324),x91323)),x91325))
% 201.32/201.09 [9150]~P107(f315(f315(x91501,x91505),x91504))+P107(f315(f315(x91501,f315(f244(x91502,x91503),f315(f315(f240(x91502,x91503),x91504),x91505))),f315(f239(x91502,x91503),f315(f315(f240(x91502,x91503),x91504),x91505))))
% 201.32/201.09 [9180]~P107(f315(f315(f317(f900(x91802,x91801)),f315(f315(f240(x91802,x91801),x91804),x91803)),f315(f274(x91801,x91802),x91805)))+P107(f315(f315(f317(f900(x91801,x91802)),f315(f315(f240(x91801,x91802),x91803),x91804)),x91805))
% 201.32/201.09 [9212]~P107(f315(f315(f317(f900(x92123,x92121)),f315(f315(f240(x92123,x92121),x92125),x92122)),x92124))+P107(f315(f315(f317(x92121),x92122),f315(f273(x92123,x92121,x92124),f315(f315(f297(x92123),x92125),f177(f901(x92123,a891))))))
% 201.32/201.09 [9259]P107(f315(f315(f317(f900(x92591,x92592)),f315(f315(f240(x92591,x92592),x92593),x92594)),x92595))+~P107(f315(f315(f317(x92592),x92594),f315(f273(x92591,x92592,x92595),f315(f315(f297(x92591),x92593),f177(f901(x92591,a891))))))
% 201.32/201.09 [9351]~P76(x93511)+E(f315(f315(f8(a893,x93511),x93512),f291(a893,f315(f315(f73(a893),x93513),x93514),f315(f315(f73(a893),x93515),x93514))),f315(f315(f8(a893,x93511),f315(f315(f10(a893,x93511,a893),x93512),f315(f315(f9(a893,a893,a893),f73(a893)),x93514))),f291(a893,x93513,x93515)))
% 201.32/201.09 [9370]~P76(x93701)+E(f315(f315(f8(a893,x93701),x93702),f315(f290(a893,f315(f315(f73(a893),x93703),x93704)),f315(f315(f73(a893),x93705),x93704))),f315(f315(f8(a893,x93701),f315(f315(f10(a893,x93701,a893),x93702),f315(f315(f9(a893,a893,a893),f73(a893)),x93704))),f315(f290(a893,x93703),x93705)))
% 201.32/201.09 [9428]~P26(x94281,x94282,x94283,f230(f901(x94281,a891)))+E(f315(f315(f143(x94281,x94282),x94283),f315(f125(x94281,f315(f315(f10(a891,a891,x94281),a310),f315(a312,x94284))),x94285)),f315(f125(x94282,f315(f315(f10(a891,a891,x94282),a310),f315(a312,f315(x94283,x94284)))),f315(f315(f143(x94281,x94282),x94283),x94285)))
% 201.32/201.09 [9446]~P26(x94461,x94462,x94463,f315(f315(f297(x94461),x94464),f315(f161(x94461),x94465)))+E(f315(f315(f143(x94461,x94462),x94463),f315(f125(x94461,f315(f315(f10(a891,a891,x94461),a310),f315(a312,x94464))),x94465)),f315(f125(x94462,f315(f315(f10(a891,a891,x94462),a310),f315(a312,f315(x94463,x94464)))),f315(f315(f143(x94461,x94462),x94463),x94465)))
% 201.32/201.09 [9615]P107(f315(f315(f317(f900(f894(x96151),f894(x96151))),f315(f315(f240(f894(x96151),f894(x96151)),f315(f315(f140(x96151),x96152),x96153)),f315(f315(f140(x96151),x96154),x96153))),f146(x96151,x96155)))+~P107(f315(f315(f317(f900(x96151,x96151)),f315(f315(f240(x96151,x96151),x96152),x96154)),x96155))
% 201.32/201.09 [9735]E(f315(f315(f297(x97351),f456(x97352,x97353,x97354,x97355,x97351)),f467(x97352,x97353,x97354,x97355,x97351)),f315(f315(f297(x97351),x97354),x97353))+~P107(f315(f55(x97351,x97355,f315(f315(f297(x97351),x97354),x97353)),x97352))
% 201.32/201.09 [9736]E(f315(f315(f297(x97361),f477(x97362,x97363,x97364,x97365,x97361)),f487(x97362,x97363,x97364,x97365,x97361)),f315(f315(f297(x97361),x97364),x97363))+~P107(f315(f55(x97361,x97365,f315(f315(f297(x97361),x97364),x97363)),x97362))
% 201.32/201.09 [9817]P107(f315(f315(f317(x98171),f410(x98172,x98173,x98174,x98175,x98171)),x98174))+P107(f315(f315(f315(f32(x98171,f901(x98175,a891)),x98174),x98173),x98172))
% 201.32/201.09 [9822]P107(f315(f315(f317(x98221),f402(x98222,x98223,x98221,x98224,x98225)),x98223))+P107(f315(f315(f317(x98225),x98224),f315(f315(f32(x98221,f901(x98225,a891)),x98223),x98222)))
% 201.32/201.09 [9830]P107(f315(f315(f317(x98301),f403(x98302,x98303,x98301,x98304,x98305)),x98303))+P107(f315(f315(f223(f901(x98305,a891)),x98304),f315(f315(f32(x98301,f901(x98305,a891)),x98303),x98302)))
% 201.32/201.09 [9831]P107(f315(f315(f317(x98311),f812(x98312,x98313,x98314,x98315,x98311)),x98315))+P107(f315(f315(f223(f901(x98314,a891)),x98313),f315(f315(f32(x98311,f901(x98314,a891)),x98315),x98312)))
% 201.32/201.09 [9833]P107(f315(f315(x98331,f452(x98332,x98331,x98333,x98334,x98335)),x98332))+~P107(f315(f315(f315(f33(x98335,f901(x98334,a891)),x98333),x98331),x98332))
% 201.32/201.09 [9837]P107(f315(f315(f317(x98371),f452(x98372,x98373,x98374,x98375,x98371)),x98374))+~P107(f315(f315(f315(f33(x98371,f901(x98375,a891)),x98374),x98373),x98372))
% 201.32/201.09 [9838]P54(x98384,f315(f315(f32(x98381,f901(x98384,a891)),x98385),x98383),f315(f315(f32(x98381,f901(f900(x98384,x98384),a891)),x98385),x98382))+P107(f315(f315(f317(x98381),f751(x98382,x98383,x98384,x98385,x98381)),x98385))
% 201.32/201.09 [9839]P54(x98394,f315(f315(f33(x98391,f901(x98394,a891)),x98395),x98393),f315(f315(f33(x98391,f901(f900(x98394,x98394),a891)),x98395),x98392))+P107(f315(f315(f317(x98391),f805(x98392,x98393,x98394,x98395,x98391)),x98395))
% 201.32/201.09 [9849]P107(f315(f315(f317(x98491),f448(x98492,x98493,x98491,x98494,x98495)),x98493))+~P107(f315(f315(f317(x98495),x98494),f315(f315(f33(x98491,f901(x98495,a891)),x98493),x98492)))
% 201.32/201.09 [9855]P107(f315(f315(f317(x98551),x98552),f315(x98553,f448(x98553,x98554,x98555,x98552,x98551))))+~P107(f315(f315(f317(x98551),x98552),f315(f315(f33(x98555,f901(x98551,a891)),x98554),x98553)))
% 201.32/201.09 [9936]~P107(f315(f315(x99364,f410(x99365,x99364,x99363,x99362,x99361)),x99365))+P107(f315(f315(f315(f32(x99361,f901(x99362,a891)),x99363),x99364),x99365))
% 201.32/201.09 [9939]~P107(f315(f315(f317(x99391),x99392),f315(x99395,f402(x99395,x99394,x99393,x99392,x99391))))+P107(f315(f315(f317(x99391),x99392),f315(f315(f32(x99393,f901(x99391,a891)),x99394),x99395)))
% 201.32/201.09 [9943]~P54(x99431,f315(x99434,f751(x99435,x99434,x99431,x99433,x99432)),f315(x99435,f751(x99435,x99434,x99431,x99433,x99432)))+P54(x99431,f315(f315(f32(x99432,f901(x99431,a891)),x99433),x99434),f315(f315(f32(x99432,f901(f900(x99431,x99431),a891)),x99433),x99435))
% 201.32/201.09 [9944]~P54(x99441,f315(x99444,f805(x99445,x99444,x99441,x99443,x99442)),f315(x99445,f805(x99445,x99444,x99441,x99443,x99442)))+P54(x99441,f315(f315(f33(x99442,f901(x99441,a891)),x99443),x99444),f315(f315(f33(x99442,f901(f900(x99441,x99441),a891)),x99443),x99445))
% 201.32/201.09 [9945]~P107(f315(f315(f223(f901(x99451,a891)),x99452),f315(x99455,f403(x99455,x99454,x99453,x99452,x99451))))+P107(f315(f315(f223(f901(x99451,a891)),x99452),f315(f315(f32(x99453,f901(x99451,a891)),x99454),x99455)))
% 201.32/201.09 [9946]~P107(f315(f315(f223(f901(x99461,a891)),x99462),f315(x99465,f812(x99465,x99462,x99461,x99464,x99463))))+P107(f315(f315(f223(f901(x99461,a891)),x99462),f315(f315(f32(x99463,f901(x99461,a891)),x99464),x99465)))
% 201.32/201.09 [10011]~P107(f315(f315(f317(x100111),f456(x100115,x100114,x100113,x100112,x100111)),f467(x100115,x100114,x100113,x100112,x100111)))+~P107(f315(f55(x100111,x100112,f315(f315(f297(x100111),x100113),x100114)),x100115))
% 201.32/201.09 [10012]~P107(f315(f315(f317(x100121),f477(x100125,x100124,x100123,x100122,x100121)),f487(x100125,x100124,x100123,x100122,x100121)))+~P107(f315(f55(x100121,x100122,f315(f315(f297(x100121),x100123),x100124)),x100125))
% 201.32/201.09 [10013]~P107(f315(f315(f317(f900(x100131,x100131)),f315(f315(f240(x100131,x100131),x100132),x100135)),f315(f315(f172(f900(x100131,x100131),a891),f315(a101,x100134)),x100133)))+P107(f315(f315(f317(f900(x100131,x100131)),f315(f315(f240(x100131,x100131),x100132),f615(x100133,x100134,x100135,x100132,x100131))),f315(f315(f172(f900(x100131,x100131),a891),x100134),x100133)))
% 201.32/201.09 [10019]P107(f315(f59(x100191,x100191,x100192,f456(x100193,x100194,x100195,x100192,x100191),f467(x100193,x100194,x100195,x100192,x100191)),x100193))+~P107(f315(f55(x100191,x100192,f315(f315(f297(x100191),x100195),x100194)),x100193))
% 201.32/201.09 [10020]P107(f315(f59(x100201,x100201,x100202,f477(x100203,x100204,x100205,x100202,x100201),f487(x100203,x100204,x100205,x100202,x100201)),x100203))+~P107(f315(f55(x100201,x100202,f315(f315(f297(x100201),x100205),x100204)),x100203))
% 201.32/201.09 [10030]~P110(x100301)+P13(x100301,f315(f315(f143(x100302,x100301),x100303),f315(f125(x100302,f315(f315(f9(x100302,x100301,a891),f315(f315(f10(x100301,f901(x100301,a891),x100302),a312),x100303)),f315(x100304,x100305))),x100305)))
% 201.32/201.09 [10080]~P107(f315(f315(f317(x100802),x100805),f315(f273(x100801,x100802,x100804),x100803)))+P107(f315(f315(f317(f900(x100801,x100802)),f315(f315(f240(x100801,x100802),f483(x100803,x100804,x100801,x100805,x100802)),x100805)),x100804))
% 201.32/201.09 [10081]~P107(f315(f315(f317(x100812),x100815),f315(f273(x100811,x100812,x100814),x100813)))+P107(f315(f315(f317(f900(x100811,x100812)),f315(f315(f240(x100811,x100812),f488(x100813,x100814,x100811,x100815,x100812)),x100815)),x100814))
% 201.32/201.09 [10101]~P107(f315(f315(f317(f900(x101011,x101011)),f315(f315(f240(x101011,x101011),x101015),x101014)),f315(f315(f172(f900(x101011,x101011),a891),f315(a101,x101013)),x101012)))+P107(f315(f315(f317(f900(x101011,x101011)),f315(f315(f240(x101011,x101011),f615(x101012,x101013,x101014,x101015,x101011)),x101014)),x101012))
% 201.32/201.09 [10104]~P107(f315(f315(f317(f900(x101041,x101041)),f315(f315(f240(x101041,x101041),x101045),x101044)),f315(f315(f172(f900(x101041,x101041),a891),f315(a101,x101043)),x101042)))+P107(f315(f315(f317(f900(x101041,x101041)),f315(f315(f240(x101041,x101041),f613(x101042,x101043,x101044,x101045,x101041)),x101044)),f315(f315(f172(f900(x101041,x101041),a891),x101043),x101042)))
% 201.32/201.09 [10105]~P107(f315(f315(f317(f900(x101051,x101051)),f315(f315(f240(x101051,x101051),x101055),x101054)),f315(f315(f172(f900(x101051,x101051),a891),f315(a101,x101053)),x101052)))+P107(f315(f315(f317(f900(x101051,x101051)),f315(f315(f240(x101051,x101051),f614(x101052,x101053,x101054,x101055,x101051)),x101054)),f315(f315(f172(f900(x101051,x101051),a891),x101053),x101052)))
% 201.32/201.09 [10106]~P107(f315(f315(f317(f900(f894(x101061),f894(x101061))),f315(f315(f240(f894(x101061),f894(x101061)),x101065),f315(f315(f140(x101061),x101064),x101063))),f147(x101061,x101062)))+P107(f315(f315(f317(f900(x101061,x101061)),f315(f315(f240(x101061,x101061),f627(x101062,x101063,x101064,x101065,x101061)),x101064)),x101062))
% 201.32/201.09 [7685]~E(x76853,f177(f901(x76852,a891)))+E(f315(f315(f99(f901(x76851,a891)),f315(f315(f33(x76852,f901(x76851,a891)),x76853),x76854)),x76855),x76855)
% 201.32/201.09 [7686]~E(x76863,f177(f901(x76862,a891)))+E(f315(f315(f90(f901(x76861,a891)),f315(f315(f32(x76862,f901(x76861,a891)),x76863),x76864)),x76865),x76865)
% 201.32/201.09 [8112]~E(x81123,f177(f901(x81122,a891)))+E(f315(f315(f3(f901(x81121,a891)),f315(f315(f32(x81122,f901(x81121,a891)),x81123),x81124)),x81125),f315(f315(f3(f901(x81121,a891)),f230(f901(x81121,a891))),x81125))
% 201.32/201.09 [8245]E(f315(f315(f148(x82451,f315(f315(f123(x82451),x82452),x82453)),x82454),x82455),f315(f315(f123(x82451),f315(f315(f148(x82451,x82452),x82454),x82455)),x82453))+~P107(f315(f315(f224(a893),x82454),f315(f178(f894(x82451)),x82452)))
% 201.32/201.09 [8515]E(f315(f315(f153(x85151),f315(f315(f143(a893,x85151),x85152),f128(a893,f315(f290(a893,x85153),x85154)))),x85155),f315(x85152,f315(f315(f73(a893),x85153),x85155)))+~P107(f315(f315(f224(a893),x85155),f315(f315(f3(a893),x85154),x85153)))
% 201.32/201.09 [8529]E(x85291,f2(a88))+E(f111(x85292,x85293,f315(x85294,f315(f315(f3(a88),x85291),f71(a88))),f315(f315(f9(x85292,a88,f895(f897(x85293))),x85295),x85291)),f315(f185(x85292,x85293,x85294,x85295),x85291))
% 201.32/201.09 [8553]~E(x85533,f177(f901(x85531,a891)))+E(f315(f315(f32(x85531,f901(x85532,a891)),x85533),f315(f315(f10(f901(x85532,a891),f901(x85532,a891),x85531),f315(f3(f901(x85532,a891)),x85534)),x85535)),f230(f901(x85532,a891)))
% 201.32/201.09 [8554]~E(x85543,f177(f901(x85541,a891)))+E(f315(f315(f32(x85541,f901(x85542,a891)),x85543),f315(f315(f10(f901(x85542,a891),f901(x85542,a891),x85541),f315(f90(f901(x85542,a891)),x85544)),x85545)),f230(f901(x85542,a891)))
% 201.32/201.09 [8555]~E(x85553,f177(f901(x85551,a891)))+E(f315(f315(f33(x85551,f901(x85552,a891)),x85553),f315(f315(f10(f901(x85552,a891),f901(x85552,a891),x85551),f315(f99(f901(x85552,a891)),x85554)),x85555)),f177(f901(x85552,a891)))
% 201.32/201.09 [8557]~P148(x85572)+E(f315(f315(f8(x85571,x85572),f315(f315(f10(x85572,x85572,x85571),f315(f74(x85572),x85573)),x85574)),x85575),f315(f315(f74(x85572),x85573),f315(f315(f8(x85571,x85572),x85574),x85575)))
% 201.32/201.09 [8849]E(x88491,f177(f901(x88492,a891)))+E(f315(f315(f32(x88492,f901(x88493,a891)),x88491),f315(f315(f10(f901(x88493,a891),f901(x88493,a891),x88492),f315(f3(f901(x88493,a891)),x88494)),x88495)),f315(f315(f3(f901(x88493,a891)),x88494),f315(f315(f33(x88492,f901(x88493,a891)),x88491),x88495)))
% 201.32/201.09 [8850]E(x88501,f177(f901(x88502,a891)))+E(f315(f315(f32(x88502,f901(x88503,a891)),x88501),f315(f315(f10(f901(x88503,a891),f901(x88503,a891),x88502),f315(f90(f901(x88503,a891)),x88504)),x88505)),f315(f315(f90(f901(x88503,a891)),x88504),f315(f315(f32(x88502,f901(x88503,a891)),x88501),x88505)))
% 201.32/201.09 [8851]E(x88511,f177(f901(x88512,a891)))+E(f315(f315(f33(x88512,f901(x88513,a891)),x88511),f315(f315(f10(f901(x88513,a891),f901(x88513,a891),x88512),f315(f99(f901(x88513,a891)),x88514)),x88515)),f315(f315(f99(f901(x88513,a891)),x88514),f315(f315(f33(x88512,f901(x88513,a891)),x88511),x88515)))
% 201.32/201.09 [9050]~P107(f315(f315(f224(a893),f315(x90504,x90502)),f315(x90504,x90503)))+P107(f315(f315(f317(f900(x90501,x90501)),f315(f315(f240(x90501,x90501),x90502),x90503)),f142(x90501,f315(f315(f140(f901(x90501,a893)),x90504),x90505))))
% 201.32/201.09 [9315]~P26(x93152,x93151,x93153,f315(f315(f99(f901(x93152,a891)),x93154),x93155))+E(f315(f315(f90(f901(x93151,a891)),f315(f298(x93152,x93151,x93153),f315(f315(f3(f901(x93152,a891)),x93154),x93155))),f315(f298(x93152,x93151,x93153),f315(f315(f3(f901(x93152,a891)),x93155),x93154))),f177(f901(x93151,a891)))
% 201.32/201.09 [9577]~P26(x95773,x95771,x95775,f230(f901(x95773,a891)))+E(f315(f66(x95771,x95772,x95773,f315(f66(x95773,x95772,x95771,x95774),f84(x95773,x95771,f230(f901(x95773,a891)),x95775))),x95775),x95774)
% 201.32/201.09 [9611]~P107(f315(f315(f223(f901(x96113,a891)),f315(f273(x96111,x96113,x96114),x96112)),x96115))+P107(f315(f315(f223(f901(x96111,a891)),x96112),f315(f72(f901(x96111,a891)),f315(f273(x96113,x96111,f315(f274(x96111,x96113),x96114)),f315(f72(f901(x96113,a891)),x96115)))))
% 201.32/201.09 [9636]~P26(x96361,x96362,x96363,f315(f315(f297(x96361),x96364),x96365))+~P107(f315(f315(f317(x96362),f315(x96363,x96364)),f315(f298(x96361,x96362,x96363),f315(f315(f3(f901(x96361,a891)),x96365),f315(f315(f297(x96361),x96364),f177(f901(x96361,a891)))))))
% 201.32/201.09 [9689]P107(f315(f315(f223(f901(x96891,a891)),f315(f273(x96892,x96891,x96893),x96894)),x96895))+~P107(f315(f315(f223(f901(x96892,a891)),x96894),f315(f72(f901(x96892,a891)),f315(f273(x96891,x96892,f315(f274(x96892,x96891),x96893)),f315(f72(f901(x96891,a891)),x96895)))))
% 201.32/201.09 [9762]~P88(x97621)+P107(f315(f315(f223(x97621),f315(f69(x97621),f315(f315(f3(x97621),f315(f315(f73(x97621),x97622),x97623)),f315(f315(f73(x97621),x97624),x97625)))),f315(f315(f73(x97621),f315(f69(x97621),f315(f315(f3(x97621),x97622),x97624))),f315(f69(x97621),f315(f315(f3(x97621),x97623),x97625)))))
% 201.32/201.09 [9870]P107(f315(f315(f317(x98701),f449(x98702,x98703,x98704,x98701,x98705)),x98704))+P107(f315(f315(f223(f901(x98705,a891)),f315(f315(f33(x98701,f901(x98705,a891)),x98704),x98703)),x98702))
% 201.32/201.09 [10048]~P107(f315(f315(f223(f901(x100481,a891)),f315(x100484,f449(x100485,x100484,x100483,x100482,x100481))),x100485))+P107(f315(f315(f223(f901(x100481,a891)),f315(f315(f33(x100482,f901(x100481,a891)),x100483),x100484)),x100485))
% 201.32/201.09 [8662]E(f315(f315(f123(x86621),x86622),f315(f315(f148(x86621,x86623),f315(f315(f3(a893),x86624),f315(f178(f894(x86621)),x86622))),x86625)),f315(f315(f148(x86621,f315(f315(f123(x86621),x86622),x86623)),x86624),x86625))+P107(f315(f315(f224(a893),x86624),f315(f178(f894(x86621)),x86622)))
% 201.32/201.09 [8690]~P130(x86901)+E(f315(f315(f73(x86901),f315(f315(f74(x86901),x86902),x86903)),f315(f315(f73(x86901),f315(f315(f74(x86901),x86904),x86903)),x86905)),f315(f315(f73(x86901),f315(f315(f74(x86901),f315(f315(f73(x86901),x86902),x86904)),x86903)),x86905))
% 201.32/201.09 [9268]~P148(x92681)+E(f315(f154(x92681),f315(f315(f143(x92682,x92681),f315(f315(f10(x92681,x92681,x92682),f315(f74(x92681),x92683)),x92684)),x92685)),f315(f315(f74(x92681),x92683),f315(f154(x92681),f315(f315(f143(x92682,x92681),x92684),x92685))))
% 201.32/201.09 [9445]E(f315(f178(f894(x94451)),f315(f315(f164(x94451),f315(f315(f221(a893),f315(f178(f894(x94451)),x94452)),f315(f178(f894(x94453)),x94454))),x94452)),f315(f178(f894(x94453)),f315(f315(f164(x94453),f315(f315(f221(a893),f315(f178(f894(x94451)),x94452)),f315(f178(f894(x94453)),x94454))),x94454)))+P107(f315(x94455,f315(f315(f170(x94451,x94453),x94452),x94454)))
% 201.32/201.09 [9699]~P148(x96992)+E(f315(f315(f8(x96991,x96992),f315(f315(f9(x96991,x96992,x96992),f315(f315(f10(x96992,f901(x96992,x96992),x96991),f74(x96992)),x96993)),x96994)),x96995),f315(f315(f74(x96992),f315(f315(f8(x96991,x96992),x96993),x96995)),x96994))
% 201.32/201.09 [9700]~P66(x97002)+E(f315(f315(f8(x97001,x97002),f315(f315(f9(x97001,x97002,x97002),f315(f315(f10(x97002,f901(x97002,x97002),x97001),f279(x97002)),x97003)),x97004)),x97005),f315(f315(f279(x97002),f315(f315(f8(x97001,x97002),x97003),x97005)),x97004))
% 201.32/201.09 [9707]~P69(x97072)+E(f315(f315(f8(x97071,x97072),f315(f315(f20(x97071,x97072,x97072),f315(f315(f10(x97072,f901(x97072,x97072),x97071),f3(x97072)),x97073)),x97074)),x97075),f315(f315(f3(x97072),f315(f315(f8(x97071,x97072),x97073),x97075)),f315(f315(f8(x97071,x97072),x97074),x97075)))
% 201.32/201.09 [9708]~P76(x97082)+E(f315(f315(f8(x97081,x97082),f315(f315(f20(x97081,x97082,x97082),f315(f315(f10(x97082,f901(x97082,x97082),x97081),f73(x97082)),x97083)),x97084)),x97085),f315(f315(f73(x97082),f315(f315(f8(x97081,x97082),x97083),x97085)),f315(f315(f8(x97081,x97082),x97084),x97085)))
% 201.32/201.09 [9709]~P72(x97092)+E(f315(f315(f11(x97091,x97092),f315(f315(f20(x97091,x97092,x97092),f315(f315(f10(x97092,f901(x97092,x97092),x97091),f74(x97092)),x97093)),x97094)),x97095),f315(f315(f74(x97092),f315(f315(f11(x97091,x97092),x97093),x97095)),f315(f315(f11(x97091,x97092),x97094),x97095)))
% 201.32/201.09 [9747]~E(x97473,f177(f901(x97471,a891)))+E(f315(f315(f32(x97471,f901(x97472,a891)),x97473),f315(f315(f9(x97471,f901(x97472,a891),f901(x97472,a891)),f315(f315(f10(f901(x97472,a891),f901(f901(x97472,a891),f901(x97472,a891)),x97471),f3(f901(x97472,a891))),x97474)),x97475)),f230(f901(x97472,a891)))
% 201.32/201.09 [9748]~E(x97483,f177(f901(x97481,a891)))+E(f315(f315(f32(x97481,f901(x97482,a891)),x97483),f315(f315(f9(x97481,f901(x97482,a891),f901(x97482,a891)),f315(f315(f10(f901(x97482,a891),f901(f901(x97482,a891),f901(x97482,a891)),x97481),f90(f901(x97482,a891))),x97484)),x97485)),f230(f901(x97482,a891)))
% 201.32/201.09 [9749]~E(x97493,f177(f901(x97491,a891)))+E(f315(f315(f33(x97491,f901(x97492,a891)),x97493),f315(f315(f9(x97491,f901(x97492,a891),f901(x97492,a891)),f315(f315(f10(f901(x97492,a891),f901(f901(x97492,a891),f901(x97492,a891)),x97491),f99(f901(x97492,a891))),x97494)),x97495)),f177(f901(x97492,a891)))
% 201.32/201.09 [9770]E(x97701,f177(f901(x97702,a891)))+E(f315(f315(f32(x97702,f901(x97703,a891)),x97701),f315(f315(f9(x97702,f901(x97703,a891),f901(x97703,a891)),f315(f315(f10(f901(x97703,a891),f901(f901(x97703,a891),f901(x97703,a891)),x97702),f3(f901(x97703,a891))),x97704)),x97705)),f315(f315(f3(f901(x97703,a891)),f315(f315(f32(x97702,f901(x97703,a891)),x97701),x97704)),x97705))
% 201.32/201.09 [9771]E(x97711,f177(f901(x97712,a891)))+E(f315(f315(f32(x97712,f901(x97713,a891)),x97711),f315(f315(f9(x97712,f901(x97713,a891),f901(x97713,a891)),f315(f315(f10(f901(x97713,a891),f901(f901(x97713,a891),f901(x97713,a891)),x97712),f90(f901(x97713,a891))),x97714)),x97715)),f315(f315(f90(f901(x97713,a891)),f315(f315(f32(x97712,f901(x97713,a891)),x97711),x97714)),x97715))
% 201.32/201.09 [9772]E(x97721,f177(f901(x97722,a891)))+E(f315(f315(f33(x97722,f901(x97723,a891)),x97721),f315(f315(f9(x97722,f901(x97723,a891),f901(x97723,a891)),f315(f315(f10(f901(x97723,a891),f901(f901(x97723,a891),f901(x97723,a891)),x97722),f99(f901(x97723,a891))),x97724)),x97725)),f315(f315(f99(f901(x97723,a891)),f315(f315(f33(x97722,f901(x97723,a891)),x97721),x97724)),x97725))
% 201.32/201.09 [9320]~P107(f315(f315(f223(a893),x93201),x93204))+E(f315(f315(f3(a893),f315(f315(f73(a893),f315(f315(f74(a893),x93201),x93202)),x93203)),f315(f315(f73(a893),f315(f315(f74(a893),x93204),x93202)),x93205)),f315(f315(f3(a893),x93203),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x93204),x93201)),x93202)),x93205)))
% 201.32/201.09 [9919]~P148(x99191)+E(f315(f154(x99191),f315(f315(f143(x99192,x99191),f315(f315(f9(x99192,x99191,x99191),f315(f315(f10(x99191,f901(x99191,x99191),x99192),f74(x99191)),x99193)),x99194)),x99195)),f315(f315(f74(x99191),f315(f154(x99191),f315(f315(f143(x99192,x99191),x99193),x99195))),x99194))
% 201.32/201.09 [9925]~P69(x99251)+E(f315(f154(x99251),f315(f315(f143(x99252,x99251),f315(f315(f20(x99252,x99251,x99251),f315(f315(f10(x99251,f901(x99251,x99251),x99252),f3(x99251)),x99253)),x99254)),x99255)),f315(f315(f3(x99251),f315(f154(x99251),f315(f315(f143(x99252,x99251),x99253),x99255))),f315(f154(x99251),f315(f315(f143(x99252,x99251),x99254),x99255))))
% 201.32/201.09 [9926]~P76(x99261)+E(f315(f154(x99261),f315(f315(f143(x99262,x99261),f315(f315(f20(x99262,x99261,x99261),f315(f315(f10(x99261,f901(x99261,x99261),x99262),f73(x99261)),x99263)),x99264)),x99265)),f315(f315(f73(x99261),f315(f154(x99261),f315(f315(f143(x99262,x99261),x99263),x99265))),f315(f154(x99261),f315(f315(f143(x99262,x99261),x99264),x99265))))
% 201.32/201.09 [10072]P107(f315(x100721,f315(f315(f170(x100722,x100723),x100724),x100725)))+~P107(f315(x100721,f315(f315(f170(x100722,x100723),f315(f315(f164(x100722),f315(f315(f221(a893),f315(f178(f894(x100722)),x100724)),f315(f178(f894(x100723)),x100725))),x100724)),f315(f315(f164(x100723),f315(f315(f221(a893),f315(f178(f894(x100722)),x100724)),f315(f178(f894(x100723)),x100725))),x100725))))
% 201.32/201.09 [10333]~P107(f315(f315(f317(f900(x103332,x103331)),f315(f315(f240(x103332,x103331),x103334),x103335)),f315(f274(x103331,x103332),x103333)))+P107(f315(f315(f231(x103331,x103332,f315(f315(f9(x103331,f901(f900(x103331,x103332),a891),f901(x103332,a891)),f315(f315(f10(f901(x103332,f901(f901(f900(x103331,x103332),a891),a891)),f901(f901(f900(x103331,x103332),a891),f901(x103332,a891)),x103331),f9(x103332,f901(f900(x103331,x103332),a891),a891)),f315(f315(f10(f901(x103332,f900(x103331,x103332)),f901(x103332,f901(f901(f900(x103331,x103332),a891),a891)),x103331),f315(f10(f900(x103331,x103332),f901(f901(f900(x103331,x103332),a891),a891),x103332),f317(f900(x103331,x103332)))),f240(x103331,x103332)))),x103333)),x103334),x103335))
% 201.32/201.09 [10343]P107(f315(f315(f317(f900(x103431,x103432)),f315(f315(f240(x103431,x103432),x103433),x103434)),f315(f274(x103432,x103431),x103435)))+~P107(f315(f315(f231(x103432,x103431,f315(f315(f9(x103432,f901(f900(x103432,x103431),a891),f901(x103431,a891)),f315(f315(f10(f901(x103431,f901(f901(f900(x103432,x103431),a891),a891)),f901(f901(f900(x103432,x103431),a891),f901(x103431,a891)),x103432),f9(x103431,f901(f900(x103432,x103431),a891),a891)),f315(f315(f10(f901(x103431,f900(x103432,x103431)),f901(x103431,f901(f901(f900(x103432,x103431),a891),a891)),x103432),f315(f10(f900(x103432,x103431),f901(f901(f900(x103432,x103431),a891),a891),x103431),f317(f900(x103432,x103431)))),f240(x103432,x103431)))),x103435)),x103433),x103434))
% 201.32/201.09 [9576]~P107(f315(f315(f223(a893),x95764),x95761))+E(f315(f315(f3(a893),f315(f315(f73(a893),f315(f315(f74(a893),x95761),x95762)),x95763)),f315(f315(f73(a893),f315(f315(f74(a893),x95764),x95762)),x95765)),f315(f315(f3(a893),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x95761),x95764)),x95762)),x95763)),x95765))
% 201.32/201.09 [7378]E(x73781,x73782)+~E(f209(x73783,x73784,x73785,x73781),f209(x73783,x73784,x73786,x73782))
% 201.32/201.09 [7379]E(x73791,x73792)+~E(f209(x73793,x73794,x73791,x73795),f209(x73793,x73794,x73792,x73796))
% 201.32/201.09 [8499]~P19(x84995,x84991,x84992,x84996)+E(f315(f66(x84991,x84991,x84991,f315(x84992,x84993)),f315(x84992,x84994)),f315(f66(x84991,x84991,x84991,f315(x84992,x84994)),f315(x84992,x84993)))
% 201.32/201.09 [8734]~P58(x87344,x87345,x87342,x87341,x87346)+E(f315(x87341,f315(x87342,x87343)),x87343)
% 201.32/201.09 [8735]~P21(x87353,x87354,x87351,x87355,x87356)+E(f315(f315(x87351,x87352),x87352),x87352)
% 201.32/201.09 [8902]P26(x89021,x89022,x89023,x89024)+~P26(x89021,x89025,f315(f66(x89022,x89025,x89021,x89026),x89023),x89024)
% 201.32/201.09 [8975]~E(x89756,x89754)+E(f315(f68(x89751,x89752,x89753,x89754,x89755),x89756),x89755)
% 201.32/201.09 [8981]E(x89811,x89812)+E(f315(f68(x89813,x89814,x89815,x89812,x89816),x89811),f315(x89815,x89811))
% 201.32/201.09 [8993]~P26(x89934,x89932,f315(f66(x89931,x89932,x89934,x89933),x89935),x89936)+P26(x89931,x89932,x89933,f315(f298(x89934,x89931,x89935),x89936))
% 201.32/201.09 [9710]P107(f315(f54(x97101),x97102))+~P107(f315(f59(x97101,x97103,x97104,x97105,x97102),x97106))
% 201.32/201.09 [9719]~P107(f315(f315(f317(x97194),x97193),f288(x97194,x97195,x97191,x97192,x97196)))+P107(f315(f315(x97191,x97192),x97193))
% 201.32/201.09 [9720]~P107(f315(f315(f317(x97204),x97203),f285(x97204,x97201,x97205,x97202,x97206)))+P107(f315(f315(x97201,x97202),x97203))
% 201.32/201.09 [9721]~P107(f315(f315(f317(x97214),x97212),f288(x97214,x97211,x97215,x97216,x97213)))+P107(f315(f315(x97211,x97212),x97213))
% 201.32/201.09 [9722]~P107(f315(f315(f317(x97224),x97222),f285(x97224,x97225,x97221,x97226,x97223)))+P107(f315(f315(x97221,x97222),x97223))
% 201.32/201.09 [10220]P12(x102201,x102202,x102203,x102204,x102205,x102206)+~E(f315(f315(x102206,f829(x102203,x102206,x102205,x102202,x102204,x102201)),f832(x102203,x102206,x102205,x102202,x102204,x102201)),f315(f315(x102206,f830(x102203,x102206,x102205,x102202,x102204,x102201)),f831(x102203,x102206,x102205,x102202,x102204,x102201)))
% 201.32/201.09 [5836]E(x58361,x58362)+~E(f315(f315(f240(x58363,x58364),x58365),x58361),f315(f315(f240(x58363,x58364),x58366),x58362))
% 201.32/201.09 [5838]E(x58381,x58382)+~E(f315(f315(f240(x58383,x58384),x58381),x58385),f315(f315(f240(x58383,x58384),x58382),x58386))
% 201.32/201.09 [5983]~P16(x59835,x59836,x59831)+E(f315(f315(x59831,x59832),f315(f315(x59831,x59833),x59834)),f315(f315(x59831,x59833),f315(f315(x59831,x59832),x59834)))
% 201.32/201.09 [7445]~P34(x74454,x74451,f315(f315(f140(x74454),x74452),x74455),f315(f315(f140(x74454),x74453),x74456))+P107(f315(f315(x74451,x74452),x74453))
% 201.32/201.09 [7803]P34(x78031,x78032,x78033,x78034)+~P34(x78031,x78032,f315(f315(f140(x78031),x78035),x78033),f315(f315(f140(x78031),x78036),x78034))
% 201.32/201.09 [8839]~P58(x88395,x88391,x88392,x88396,x88394)+P107(f315(f315(f317(x88391),f315(x88392,x88393)),x88394))
% 201.32/201.09 [9041]~E(x90413,f315(f315(f140(x90411),x90415),x90416))+P107(f315(f315(f317(f900(f894(x90411),f894(x90411))),f315(f315(f240(f894(x90411),f894(x90411)),x90412),f315(f315(f123(x90411),x90412),x90413))),f136(x90411,x90414)))
% 201.32/201.09 [9274]~P36(x92741,x92742,x92743,x92745,x92746)+P36(x92741,x92742,x92743,f315(f315(f164(x92741),x92744),x92745),f315(f315(f164(x92742),x92744),x92746))
% 201.32/201.09 [9275]~P36(x92751,x92752,x92753,x92755,x92756)+P36(x92751,x92752,x92753,f315(f315(f127(x92751),x92754),x92755),f315(f315(f127(x92752),x92754),x92756))
% 201.32/201.09 [9538]E(f315(f298(x95381,x95382,f68(x95381,x95382,x95383,x95384,x95385)),x95386),f315(f298(x95381,x95382,x95383),x95386))+P107(f315(f315(f317(x95381),x95384),x95386))
% 201.32/201.09 [9541]E(f315(f315(f143(x95411,x95412),f68(x95411,x95412,x95413,x95414,x95415)),x95416),f315(f315(f143(x95411,x95412),x95413),x95416))+P107(f315(f315(f317(x95411),x95414),f315(f161(x95411),x95416)))
% 201.32/201.09 [9782]~P24(x97824,x97822,x97825,x97823,x97826,x97821)+E(f315(x97821,f177(f901(x97822,a891))),x97823)
% 201.32/201.09 [10014]~E(f315(x100144,f315(f239(x100141,x100143),x100145)),f315(x100146,f315(f239(x100141,x100143),x100145)))+E(f315(f246(x100141,x100142,x100143,x100143,x100144,f25(x100143)),x100145),f315(f246(x100141,x100142,x100143,x100143,x100146,f25(x100143)),x100145))
% 201.32/201.09 [10015]~E(f315(x100154,f315(f244(x100151,x100152),x100155)),f315(x100156,f315(f244(x100151,x100152),x100155)))+E(f315(f246(x100151,x100151,x100152,x100153,f25(x100151),x100154),x100155),f315(f246(x100151,x100151,x100152,x100153,f25(x100151),x100156),x100155))
% 201.32/201.09 [10068]~E(f315(f246(x100682,x100686,x100683,x100683,x100681,f25(x100683)),x100684),f315(f246(x100682,x100686,x100683,x100683,x100685,f25(x100683)),x100684))+E(f315(x100681,f315(f239(x100682,x100683),x100684)),f315(x100685,f315(f239(x100682,x100683),x100684)))
% 201.32/201.09 [10069]~E(f315(f246(x100692,x100692,x100693,x100696,f25(x100692),x100691),x100694),f315(f246(x100692,x100692,x100693,x100696,f25(x100692),x100695),x100694))+E(f315(x100691,f315(f244(x100692,x100693),x100694)),f315(x100695,f315(f244(x100692,x100693),x100694)))
% 201.32/201.09 [8942]P107(f315(f315(f317(x89421),x89422),x89423))+~P107(f315(f315(f317(f900(x89421,x89424)),f315(f315(f240(x89421,x89424),x89422),x89425)),f315(f315(f242(x89421,x89424),x89423),x89426)))
% 201.32/201.09 [8958]P107(f315(f315(f317(x89581),x89582),f315(x89583,x89584)))+~P107(f315(f315(f317(f900(x89585,x89581)),f315(f315(f240(x89585,x89581),x89584),x89582)),f315(f315(f242(x89585,x89581),x89586),x89583)))
% 201.32/201.09 [9395]P107(f315(f315(f317(f900(x93951,x93951)),f315(f315(f240(x93951,x93951),f315(x93952,x93953)),f315(x93952,x93954))),x93955))+~P107(f315(f315(f317(f900(x93956,x93956)),f315(f315(f240(x93956,x93956),x93953),x93954)),f315(f315(f276(x93951,x93956),x93955),x93952)))
% 201.32/201.09 [9415]~P107(f315(f315(f317(f900(x94154,x94154)),f315(f315(f240(x94154,x94154),f315(x94156,x94152)),f315(x94156,x94153))),x94155))+P107(f315(f315(f317(f900(x94151,x94151)),f315(f315(f240(x94151,x94151),x94152),x94153)),f315(f315(f276(x94154,x94151),x94155),x94156)))
% 201.32/201.09 [10071]E(f315(f315(f240(x100711,x100712),f622(x100713,x100714,x100715,x100716,x100712,x100711)),f623(x100713,x100714,x100715,x100716,x100712,x100711)),x100716)+~P107(f315(f315(f317(f900(x100711,x100712)),x100716),f315(f315(f277(x100711,x100715,x100712),x100714),x100713)))
% 201.32/201.09 [10291]~P107(f315(f315(f317(f900(x102911,x102916)),x102915),f315(f315(f277(x102911,x102912,x102916),x102914),x102913)))+P107(f315(f315(f317(f900(x102911,x102912)),f315(f315(f240(x102911,x102912),f622(x102913,x102914,x102912,x102915,x102916,x102911)),f624(x102913,x102914,x102912,x102915,x102916,x102911))),x102914))
% 201.32/201.09 [10292]~P107(f315(f315(f317(f900(x102926,x102922)),x102925),f315(f315(f277(x102926,x102921,x102922),x102924),x102923)))+P107(f315(f315(f317(f900(x102921,x102922)),f315(f315(f240(x102921,x102922),f624(x102923,x102924,x102921,x102925,x102922,x102926)),f623(x102923,x102924,x102921,x102925,x102922,x102926))),x102923))
% 201.32/201.09 [10293]P12(x102931,x102932,x102933,x102934,x102935,x102936)+P107(f315(f315(f317(f900(x102932,x102932)),f315(f315(f240(x102932,x102932),f831(x102933,x102936,x102935,x102932,x102934,x102931)),f832(x102933,x102936,x102935,x102932,x102934,x102931))),x102935))
% 201.32/201.09 [10294]P12(x102941,x102942,x102943,x102944,x102945,x102946)+P107(f315(f315(f317(f900(x102941,x102941)),f315(f315(f240(x102941,x102941),f830(x102943,x102946,x102945,x102942,x102944,x102941)),f829(x102943,x102946,x102945,x102942,x102944,x102941))),x102944))
% 201.32/201.09 [7873]~P5(x78732)+E(f315(f315(f32(x78731,x78732),x78733),f315(f315(f9(x78731,x78734,x78732),x78735),x78736)),f315(f315(f315(f32(x78731,f901(x78734,x78732)),x78733),x78735),x78736))
% 201.32/201.09 [7874]~P5(x78742)+E(f315(f315(f33(x78741,x78742),x78743),f315(f315(f9(x78741,x78744,x78742),x78745),x78746)),f315(f315(f315(f33(x78741,f901(x78744,x78742)),x78743),x78745),x78746))
% 201.32/201.09 [8645]E(f315(f315(f33(x86451,f901(x86452,a891)),x86453),f315(f315(f10(f901(x86452,a891),f901(x86452,a891),x86451),f315(f297(x86452),x86454)),x86455)),f315(f315(f297(x86452),x86454),f315(f315(f33(x86451,f901(x86452,a891)),x86453),x86455)))+~P107(f315(f315(f317(x86451),x86456),x86453))
% 201.32/201.09 [9094]~P5(x90942)+E(f315(f315(f32(x90941,x90942),x90943),f315(f315(f10(f901(x90944,x90942),x90942,x90941),f315(f32(x90944,x90942),x90945)),f315(f9(x90944,x90941,x90942),x90946))),f315(f315(f32(x90944,x90942),x90945),f315(f315(f10(f901(x90941,x90942),x90942,x90944),f315(f32(x90941,x90942),x90943)),x90946)))
% 201.32/201.09 [9095]~P5(x90952)+E(f315(f315(f33(x90951,x90952),x90953),f315(f315(f10(f901(x90954,x90952),x90952,x90951),f315(f33(x90954,x90952),x90955)),f315(f9(x90954,x90951,x90952),x90956))),f315(f315(f33(x90954,x90952),x90955),f315(f315(f10(f901(x90951,x90952),x90952,x90954),f315(f33(x90951,x90952),x90953)),x90956)))
% 201.32/201.09 [9300]P107(f315(f315(f317(x93001),x93002),f315(f161(x93001),x93003)))+~P107(f315(f315(f317(f900(x93004,x93001)),f315(f315(f240(x93004,x93001),x93005),x93002)),f315(f161(f900(x93004,x93001)),f315(f315(f170(x93004,x93001),x93006),x93003))))
% 201.32/201.09 [9301]P107(f315(f315(f317(x93011),x93012),f315(f161(x93011),x93013)))+~P107(f315(f315(f317(f900(x93011,x93014)),f315(f315(f240(x93011,x93014),x93012),x93015)),f315(f161(f900(x93011,x93014)),f315(f315(f170(x93011,x93014),x93013),x93016))))
% 201.32/201.09 [9411]P107(f315(f315(f223(f901(x94111,a891)),f315(f273(x94112,x94111,x94113),x94114)),x94115))+~P107(f315(f315(f223(f901(f900(x94112,x94111),a891)),x94113),f315(f315(f242(x94112,x94111),x94116),f315(f18(f901(x94111,a891),x94112),x94115))))
% 201.32/201.09 [9416]~P27(x94164,x94162,x94165,f230(f901(x94164,a891)),f230(f901(x94162,a891)))+E(f315(f315(f32(x94161,f901(x94162,a891)),x94163),f315(f315(f10(f901(x94164,a891),f901(x94162,a891),x94161),f298(x94164,x94162,x94165)),x94166)),f315(f298(x94164,x94162,x94165),f315(f315(f32(x94161,f901(x94164,a891)),x94163),x94166)))
% 201.32/201.09 [9614]P107(f315(f315(f317(f900(f894(x96141),f894(x96141))),f315(f315(f240(f894(x96141),f894(x96141)),f315(f315(f140(x96141),x96142),x96143)),f315(f315(f140(x96141),x96144),x96145))),f136(x96141,x96146)))+~P107(f315(f315(f317(f900(x96141,x96141)),f315(f315(f240(x96141,x96141),x96142),x96144)),x96146))
% 201.32/201.09 [10067]E(f315(f315(f240(x100671,x100672),f568(x100673,x100674,x100675,x100672,x100671,x100676)),f571(x100673,x100674,x100675,x100672,x100671,x100676)),x100676)+P107(f315(f315(f317(x100675),x100674),f315(f315(f245(x100671,x100672,f901(x100675,a891)),x100673),x100676)))
% 201.32/201.09 [10073]E(f315(f315(f240(x100731,x100732),f569(x100733,x100734,x100732,x100731,x100735,x100736)),f570(x100733,x100734,x100732,x100731,x100735,x100736)),x100733)+~P107(f315(f315(f317(x100736),x100735),f315(f315(f245(x100731,x100732,f901(x100736,a891)),x100734),x100733)))
% 201.32/201.09 [10235]P107(f315(f315(f317(x102351),x102352),f315(f315(x102353,f569(x102354,x102353,x102355,x102356,x102352,x102351)),f570(x102354,x102353,x102355,x102356,x102352,x102351))))+~P107(f315(f315(f317(x102351),x102352),f315(f315(f245(x102356,x102355,f901(x102351,a891)),x102353),x102354)))
% 201.32/201.09 [10264]~P107(f315(f315(f317(x102641),x102642),f315(f315(x102645,f568(x102645,x102642,x102641,x102644,x102643,x102646)),f571(x102645,x102642,x102641,x102644,x102643,x102646))))+P107(f315(f315(f317(x102641),x102642),f315(f315(f245(x102643,x102644,f901(x102641,a891)),x102645),x102646)))
% 201.32/201.09 [8545]E(x85451,x85452)+E(f315(f315(f148(x85453,f315(f315(f148(x85453,x85454),x85451),x85455)),x85452),x85456),f315(f315(f148(x85453,f315(f315(f148(x85453,x85454),x85452),x85456)),x85451),x85455))
% 201.32/201.09 [9674]~P107(f315(f315(f317(x96743),x96746),x96745))+E(f315(f315(f297(x96741),x96742),f315(f298(x96743,x96741,x96744),f315(f315(f3(f901(x96743,a891)),x96745),f315(f315(f297(x96743),x96746),f177(f901(x96743,a891)))))),f315(f298(x96743,x96741,f68(x96743,x96741,x96744,x96746,x96742)),x96745))
% 201.32/201.09 [9173]~P107(f315(f315(x91734,x91735),x91736))+P107(f315(f315(f315(f315(f99(f901(x91731,f901(x91732,a891))),x91733),x91734),x91735),x91736))
% 201.32/201.09 [9175]~P107(f315(f315(x91753,x91755),x91756))+P107(f315(f315(f315(f315(f99(f901(x91751,f901(x91752,a891))),x91753),x91754),x91755),x91756))
% 201.32/201.09 [9466]P107(f315(f315(x94661,x94662),x94663))+~P107(f315(f315(f315(f315(f90(f901(x94664,f901(x94665,a891))),x94666),x94661),x94662),x94663))
% 201.32/201.09 [9467]P107(f315(f315(x94671,x94672),x94673))+~P107(f315(f315(f315(f315(f90(f901(x94674,f901(x94675,a891))),x94671),x94676),x94672),x94673))
% 201.32/201.09 [9907]~P76(x99072)+E(f315(f315(f8(x99071,x99072),f315(f315(f9(x99071,f901(x99073,a891),x99072),f315(f315(f10(f901(x99073,x99072),f901(f901(x99073,a891),x99072),x99071),f8(x99073,x99072)),x99074)),x99075)),x99076),f315(f315(f8(f900(x99071,x99073),x99072),f315(f245(x99071,x99073,x99072),x99074)),f315(f315(f242(x99071,x99073),x99076),f315(f18(f901(x99073,a891),x99071),x99075))))
% 201.32/201.09 [9908]~P72(x99082)+E(f315(f315(f11(x99081,x99082),f315(f315(f9(x99081,f901(x99083,a891),x99082),f315(f315(f10(f901(x99083,x99082),f901(f901(x99083,a891),x99082),x99081),f11(x99083,x99082)),x99084)),x99085)),x99086),f315(f315(f11(f900(x99081,x99083),x99082),f315(f245(x99081,x99083,x99082),x99084)),f315(f315(f242(x99081,x99083),x99086),f315(f18(f901(x99083,a891),x99081),x99085))))
% 201.32/201.09 [10039]~P76(x100392)+E(f315(f315(f8(x100391,x100392),f315(f315(f9(x100391,f901(x100393,a891),x100392),f315(f315(f10(f901(x100393,x100392),f901(f901(x100393,a891),x100392),x100391),f8(x100393,x100392)),f315(f9(x100393,x100391,x100392),x100394))),x100395)),x100396),f315(f315(f8(x100393,x100392),f315(f315(f9(x100393,f901(x100391,a891),x100392),f315(f315(f10(f901(x100391,x100392),f901(f901(x100391,a891),x100392),x100393),f8(x100391,x100392)),x100394)),x100396)),x100395))
% 201.32/201.09 [10355]~P107(f315(f315(f317(f900(x103551,x103552)),f315(f315(f240(x103551,x103552),x103555),x103556)),f315(f315(f99(f901(f900(x103551,x103552),a891)),x103553),x103554)))+P107(f315(f315(f315(f315(f99(f901(x103551,f901(x103552,a891))),f315(f315(f9(x103551,f901(f900(x103551,x103552),a891),f901(x103552,a891)),f315(f315(f10(f901(x103552,f901(f901(f900(x103551,x103552),a891),a891)),f901(f901(f900(x103551,x103552),a891),f901(x103552,a891)),x103551),f9(x103552,f901(f900(x103551,x103552),a891),a891)),f315(f315(f10(f901(x103552,f900(x103551,x103552)),f901(x103552,f901(f901(f900(x103551,x103552),a891),a891)),x103551),f315(f10(f900(x103551,x103552),f901(f901(f900(x103551,x103552),a891),a891),x103552),f317(f900(x103551,x103552)))),f240(x103551,x103552)))),x103553)),f315(f315(f9(x103551,f901(f900(x103551,x103552),a891),f901(x103552,a891)),f315(f315(f10(f901(x103552,f901(f901(f900(x103551,x103552),a891),a891)),f901(f901(f900(x103551,x103552),a891),f901(x103552,a891)),x103551),f9(x103552,f901(f900(x103551,x103552),a891),a891)),f315(f315(f10(f901(x103552,f900(x103551,x103552)),f901(x103552,f901(f901(f900(x103551,x103552),a891),a891)),x103551),f315(f10(f900(x103551,x103552),f901(f901(f900(x103551,x103552),a891),a891),x103552),f317(f900(x103551,x103552)))),f240(x103551,x103552)))),x103554)),x103555),x103556))
% 201.32/201.09 [10356]~P107(f315(f315(f317(f900(x103561,x103562)),f315(f315(f240(x103561,x103562),x103565),x103566)),f315(f315(f90(f901(f900(x103561,x103562),a891)),x103563),x103564)))+P107(f315(f315(f315(f315(f90(f901(x103561,f901(x103562,a891))),f315(f315(f9(x103561,f901(f900(x103561,x103562),a891),f901(x103562,a891)),f315(f315(f10(f901(x103562,f901(f901(f900(x103561,x103562),a891),a891)),f901(f901(f900(x103561,x103562),a891),f901(x103562,a891)),x103561),f9(x103562,f901(f900(x103561,x103562),a891),a891)),f315(f315(f10(f901(x103562,f900(x103561,x103562)),f901(x103562,f901(f901(f900(x103561,x103562),a891),a891)),x103561),f315(f10(f900(x103561,x103562),f901(f901(f900(x103561,x103562),a891),a891),x103562),f317(f900(x103561,x103562)))),f240(x103561,x103562)))),x103563)),f315(f315(f9(x103561,f901(f900(x103561,x103562),a891),f901(x103562,a891)),f315(f315(f10(f901(x103562,f901(f901(f900(x103561,x103562),a891),a891)),f901(f901(f900(x103561,x103562),a891),f901(x103562,a891)),x103561),f9(x103562,f901(f900(x103561,x103562),a891),a891)),f315(f315(f10(f901(x103562,f900(x103561,x103562)),f901(x103562,f901(f901(f900(x103561,x103562),a891),a891)),x103561),f315(f10(f900(x103561,x103562),f901(f901(f900(x103561,x103562),a891),a891),x103562),f317(f900(x103561,x103562)))),f240(x103561,x103562)))),x103564)),x103565),x103566))
% 201.32/201.09 [10365]P107(f315(f315(f317(f900(x103651,x103652)),f315(f315(f240(x103651,x103652),x103653),x103654)),f315(f315(f99(f901(f900(x103651,x103652),a891)),x103655),x103656)))+~P107(f315(f315(f315(f315(f99(f901(x103651,f901(x103652,a891))),f315(f315(f9(x103651,f901(f900(x103651,x103652),a891),f901(x103652,a891)),f315(f315(f10(f901(x103652,f901(f901(f900(x103651,x103652),a891),a891)),f901(f901(f900(x103651,x103652),a891),f901(x103652,a891)),x103651),f9(x103652,f901(f900(x103651,x103652),a891),a891)),f315(f315(f10(f901(x103652,f900(x103651,x103652)),f901(x103652,f901(f901(f900(x103651,x103652),a891),a891)),x103651),f315(f10(f900(x103651,x103652),f901(f901(f900(x103651,x103652),a891),a891),x103652),f317(f900(x103651,x103652)))),f240(x103651,x103652)))),x103655)),f315(f315(f9(x103651,f901(f900(x103651,x103652),a891),f901(x103652,a891)),f315(f315(f10(f901(x103652,f901(f901(f900(x103651,x103652),a891),a891)),f901(f901(f900(x103651,x103652),a891),f901(x103652,a891)),x103651),f9(x103652,f901(f900(x103651,x103652),a891),a891)),f315(f315(f10(f901(x103652,f900(x103651,x103652)),f901(x103652,f901(f901(f900(x103651,x103652),a891),a891)),x103651),f315(f10(f900(x103651,x103652),f901(f901(f900(x103651,x103652),a891),a891),x103652),f317(f900(x103651,x103652)))),f240(x103651,x103652)))),x103656)),x103653),x103654))
% 201.32/201.09 [10366]P107(f315(f315(f317(f900(x103661,x103662)),f315(f315(f240(x103661,x103662),x103663),x103664)),f315(f315(f90(f901(f900(x103661,x103662),a891)),x103665),x103666)))+~P107(f315(f315(f315(f315(f90(f901(x103661,f901(x103662,a891))),f315(f315(f9(x103661,f901(f900(x103661,x103662),a891),f901(x103662,a891)),f315(f315(f10(f901(x103662,f901(f901(f900(x103661,x103662),a891),a891)),f901(f901(f900(x103661,x103662),a891),f901(x103662,a891)),x103661),f9(x103662,f901(f900(x103661,x103662),a891),a891)),f315(f315(f10(f901(x103662,f900(x103661,x103662)),f901(x103662,f901(f901(f900(x103661,x103662),a891),a891)),x103661),f315(f10(f900(x103661,x103662),f901(f901(f900(x103661,x103662),a891),a891),x103662),f317(f900(x103661,x103662)))),f240(x103661,x103662)))),x103665)),f315(f315(f9(x103661,f901(f900(x103661,x103662),a891),f901(x103662,a891)),f315(f315(f10(f901(x103662,f901(f901(f900(x103661,x103662),a891),a891)),f901(f901(f900(x103661,x103662),a891),f901(x103662,a891)),x103661),f9(x103662,f901(f900(x103661,x103662),a891),a891)),f315(f315(f10(f901(x103662,f900(x103661,x103662)),f901(x103662,f901(f901(f900(x103661,x103662),a891),a891)),x103661),f315(f10(f900(x103661,x103662),f901(f901(f900(x103661,x103662),a891),a891),x103662),f317(f900(x103661,x103662)))),f240(x103661,x103662)))),x103666)),x103663),x103664))
% 201.32/201.09 [10349]~P107(f315(f315(f317(f900(x103492,x103493)),f315(f315(f240(x103492,x103493),x103495),x103496)),f315(f315(f32(x103491,f901(f900(x103492,x103493),a891)),f230(f901(x103491,a891))),x103494)))+P107(f315(f315(f315(f315(f32(x103491,f901(x103492,f901(x103493,a891))),f230(f901(x103491,a891))),f315(f315(f10(f901(f900(x103492,x103493),a891),f901(x103492,f901(x103493,a891)),x103491),f315(f9(x103492,f901(f900(x103492,x103493),a891),f901(x103493,a891)),f315(f315(f10(f901(x103493,f901(f901(f900(x103492,x103493),a891),a891)),f901(f901(f900(x103492,x103493),a891),f901(x103493,a891)),x103492),f9(x103493,f901(f900(x103492,x103493),a891),a891)),f315(f315(f10(f901(x103493,f900(x103492,x103493)),f901(x103493,f901(f901(f900(x103492,x103493),a891),a891)),x103492),f315(f10(f900(x103492,x103493),f901(f901(f900(x103492,x103493),a891),a891),x103493),f317(f900(x103492,x103493)))),f240(x103492,x103493))))),x103494)),x103495),x103496))
% 201.32/201.09 [10350]~P107(f315(f315(f317(f900(x103502,x103503)),f315(f315(f240(x103502,x103503),x103505),x103506)),f315(f315(f33(x103501,f901(f900(x103502,x103503),a891)),f230(f901(x103501,a891))),x103504)))+P107(f315(f315(f315(f315(f33(x103501,f901(x103502,f901(x103503,a891))),f230(f901(x103501,a891))),f315(f315(f10(f901(f900(x103502,x103503),a891),f901(x103502,f901(x103503,a891)),x103501),f315(f9(x103502,f901(f900(x103502,x103503),a891),f901(x103503,a891)),f315(f315(f10(f901(x103503,f901(f901(f900(x103502,x103503),a891),a891)),f901(f901(f900(x103502,x103503),a891),f901(x103503,a891)),x103502),f9(x103503,f901(f900(x103502,x103503),a891),a891)),f315(f315(f10(f901(x103503,f900(x103502,x103503)),f901(x103503,f901(f901(f900(x103502,x103503),a891),a891)),x103502),f315(f10(f900(x103502,x103503),f901(f901(f900(x103502,x103503),a891),a891),x103503),f317(f900(x103502,x103503)))),f240(x103502,x103503))))),x103504)),x103505),x103506))
% 201.32/201.09 [10359]P107(f315(f315(f317(f900(x103591,x103592)),f315(f315(f240(x103591,x103592),x103593),x103594)),f315(f315(f32(x103595,f901(f900(x103591,x103592),a891)),f230(f901(x103595,a891))),x103596)))+~P107(f315(f315(f315(f315(f32(x103595,f901(x103591,f901(x103592,a891))),f230(f901(x103595,a891))),f315(f315(f10(f901(f900(x103591,x103592),a891),f901(x103591,f901(x103592,a891)),x103595),f315(f9(x103591,f901(f900(x103591,x103592),a891),f901(x103592,a891)),f315(f315(f10(f901(x103592,f901(f901(f900(x103591,x103592),a891),a891)),f901(f901(f900(x103591,x103592),a891),f901(x103592,a891)),x103591),f9(x103592,f901(f900(x103591,x103592),a891),a891)),f315(f315(f10(f901(x103592,f900(x103591,x103592)),f901(x103592,f901(f901(f900(x103591,x103592),a891),a891)),x103591),f315(f10(f900(x103591,x103592),f901(f901(f900(x103591,x103592),a891),a891),x103592),f317(f900(x103591,x103592)))),f240(x103591,x103592))))),x103596)),x103593),x103594))
% 201.32/201.09 [10360]P107(f315(f315(f317(f900(x103601,x103602)),f315(f315(f240(x103601,x103602),x103603),x103604)),f315(f315(f33(x103605,f901(f900(x103601,x103602),a891)),f230(f901(x103605,a891))),x103606)))+~P107(f315(f315(f315(f315(f33(x103605,f901(x103601,f901(x103602,a891))),f230(f901(x103605,a891))),f315(f315(f10(f901(f900(x103601,x103602),a891),f901(x103601,f901(x103602,a891)),x103605),f315(f9(x103601,f901(f900(x103601,x103602),a891),f901(x103602,a891)),f315(f315(f10(f901(x103602,f901(f901(f900(x103601,x103602),a891),a891)),f901(f901(f900(x103601,x103602),a891),f901(x103602,a891)),x103601),f9(x103602,f901(f900(x103601,x103602),a891),a891)),f315(f315(f10(f901(x103602,f900(x103601,x103602)),f901(x103602,f901(f901(f900(x103601,x103602),a891),a891)),x103601),f315(f10(f900(x103601,x103602),f901(f901(f900(x103601,x103602),a891),a891),x103602),f317(f900(x103601,x103602)))),f240(x103601,x103602))))),x103606)),x103603),x103604))
% 201.32/201.09 [7550]E(f315(x75501,f315(x75502,x75503)),f315(x75504,x75503))+~E(f315(f66(x75505,x75506,x75507,x75501),x75502),x75504)
% 201.32/201.09 [9690]E(x96901,x96902)+E(f68(x96903,x96904,f68(x96903,x96904,x96905,x96901,x96906),x96902,x96907),f68(x96903,x96904,f68(x96903,x96904,x96905,x96902,x96907),x96901,x96906))
% 201.32/201.09 [9781]~P23(x97813,x97814,x97811,x97815,x97816,x97817)+E(f315(f315(x97811,x97812),x97812),x97812)
% 201.32/201.09 [6085]~E(f315(f315(f143(x60851,x60855),x60856),x60852),f315(f315(f143(x60853,x60855),x60857),x60854))+E(f315(f178(f894(x60851)),x60852),f315(f178(f894(x60853)),x60854))
% 201.32/201.09 [8576]E(f315(x85761,f315(x85762,x85763)),f315(x85764,x85763))+~E(f315(f66(x85765,x85766,x85767,x85761),x85762),f315(f66(x85766,x85766,x85767,f25(x85766)),x85764))
% 201.32/201.09 [8931]~P36(x89314,x89315,x89311,f315(f315(f140(x89314),x89312),x89316),f315(f315(f140(x89315),x89313),x89317))+P107(f315(f315(x89311,x89312),x89313))
% 201.32/201.09 [9307]P36(x93071,x93072,x93073,x93074,x93075)+~P36(x93071,x93072,x93073,f315(f315(f140(x93071),x93076),x93074),f315(f315(f140(x93072),x93077),x93075))
% 201.32/201.09 [9940]P107(f315(f315(x99401,x99402),f540(x99403,x99402,x99404,x99401)))+~P107(f315(f315(f241(x99405,x99406,x99407,x99401,x99404),x99402),x99403))
% 201.32/201.09 [9964]P107(f315(f315(x99641,f540(x99642,x99643,x99641,x99644)),x99642))+~P107(f315(f315(f241(x99645,x99646,x99647,x99644,x99641),x99643),x99642))
% 201.32/201.09 [9048]~P20(x90486,x90481,x90483,x90487)+E(f315(f66(x90481,x90481,x90482,f315(x90483,x90484)),f315(f66(x90481,x90481,x90482,f315(x90483,x90484)),x90485)),f315(f66(x90481,x90481,x90482,f315(x90483,x90484)),x90485))
% 201.32/201.09 [9419]~P36(x94193,x94192,x94194,f315(f315(f143(x94191,x94193),x94195),x94196),x94197)+P36(x94191,x94192,f315(f315(f10(x94193,f901(x94192,a891),x94191),x94194),x94195),x94196,x94197)
% 201.32/201.09 [9442]P36(x94421,x94422,x94423,f315(f315(f143(x94424,x94421),x94425),x94426),x94427)+~P36(x94424,x94422,f315(f315(f10(x94421,f901(x94422,a891),x94424),x94423),x94425),x94426,x94427)
% 201.32/201.09 [9047]~P107(f315(f315(f317(x90471),x90472),f315(f315(x90475,x90476),x90477)))+P107(f315(f315(f317(x90471),x90472),f315(f315(f245(x90473,x90474,f901(x90471,a891)),x90475),f315(f315(f240(x90473,x90474),x90476),x90477))))
% 201.32/201.09 [9333]P107(f315(f315(f315(x93331,x93332),x93333),x93334))+~P107(f315(f315(f315(f245(x93335,x93336,f901(x93337,a891)),x93331),f315(f315(f240(x93335,x93336),x93332),x93333)),x93334))
% 201.32/201.09 [9481]P107(f315(f315(f317(x94811),f315(f315(x94812,x94813),x94814)),f315(f298(f900(x94815,x94816),x94811,f315(f245(x94815,x94816,x94811),x94812)),x94817)))+~P107(f315(f315(f317(f900(x94815,x94816)),f315(f315(f240(x94815,x94816),x94813),x94814)),x94817))
% 201.32/201.09 [9828]P107(f315(f315(f317(f900(f894(x98281),f894(x98281))),f315(f315(f240(f894(x98281),f894(x98281)),f315(f315(f123(x98281),x98282),f315(f315(f140(x98281),x98283),x98284))),f315(f315(f123(x98281),x98282),f315(f315(f140(x98281),x98285),x98286)))),f136(x98281,x98287)))+~P107(f315(f315(f317(f900(x98281,x98281)),f315(f315(f240(x98281,x98281),x98283),x98285)),x98287))
% 201.32/201.09 [9892]~P36(x98921,x98923,x98924,x98926,f315(f315(f143(x98922,x98923),x98925),x98927))+P36(x98921,x98922,f315(f315(f9(x98921,f901(x98922,x98923),f901(x98922,a891)),f315(f315(f10(f901(x98923,a891),f901(f901(x98922,x98923),f901(x98922,a891)),x98921),f10(x98923,a891,x98922)),x98924)),x98925),x98926,x98927)
% 201.32/201.09 [9968]P36(x99681,x99682,x99683,x99684,f315(f315(f143(x99685,x99682),x99686),x99687))+~P36(x99681,x99685,f315(f315(f9(x99681,f901(x99685,x99682),f901(x99685,a891)),f315(f315(f10(f901(x99682,a891),f901(f901(x99685,x99682),f901(x99685,a891)),x99681),f10(x99682,a891,x99685)),x99683)),x99686),x99684,x99687)
% 201.32/201.09 [10278]P107(f315(f315(f317(x102781),f411(x102782,x102783,x102784,x102785,x102786,x102787,x102781)),x102785))+P107(f315(f315(f315(f315(f32(x102781,f901(x102787,f901(x102786,a891))),x102785),x102784),x102783),x102782))
% 201.32/201.09 [10279]P107(f315(f315(f317(x102791),f762(x102792,x102793,x102794,x102795,x102796,x102797,x102791)),x102797))+P107(f315(f315(f315(f315(f32(x102791,f901(x102793,f901(x102792,a891))),x102797),x102796),x102795),x102794))
% 201.32/201.09 [10280]P107(f315(f315(f317(x102801),f453(x102802,x102803,x102804,x102805,x102806,x102807,x102801)),x102805))+~P107(f315(f315(f315(f315(f33(x102801,f901(x102807,f901(x102806,a891))),x102805),x102804),x102803),x102802))
% 201.32/201.09 [10281]P107(f315(f315(f317(x102811),f763(x102812,x102813,x102814,x102815,x102816,x102817,x102811)),x102815))+~P107(f315(f315(f315(f315(f33(x102811,f901(x102817,f901(x102816,a891))),x102815),x102814),x102813),x102812))
% 201.32/201.09 [10314]P107(f315(f315(f315(x103141,f453(x103142,x103143,x103141,x103144,x103145,x103146,x103147)),x103143),x103142))+~P107(f315(f315(f315(f315(f33(x103147,f901(x103146,f901(x103145,a891))),x103144),x103141),x103143),x103142))
% 201.32/201.09 [10315]P107(f315(f315(f315(x103151,f763(x103152,x103153,x103151,x103154,x103155,x103156,x103157)),x103153),x103152))+~P107(f315(f315(f315(f315(f33(x103157,f901(x103156,f901(x103155,a891))),x103154),x103151),x103153),x103152))
% 201.32/201.09 [10330]~P107(f315(f315(f315(x103305,f411(x103307,x103306,x103305,x103304,x103303,x103302,x103301)),x103306),x103307))+P107(f315(f315(f315(f315(f32(x103301,f901(x103302,f901(x103303,a891))),x103304),x103305),x103306),x103307))
% 201.32/201.09 [10331]~P107(f315(f315(f315(x103315,f762(x103313,x103312,x103317,x103316,x103315,x103314,x103311)),x103316),x103317))+P107(f315(f315(f315(f315(f32(x103311,f901(x103312,f901(x103313,a891))),x103314),x103315),x103316),x103317))
% 201.32/201.09 [10348]~P107(f315(f315(f317(f900(x103481,x103483)),f315(f315(f240(x103481,x103483),x103486),x103487)),f315(f315(f277(x103481,x103482,x103483),x103484),x103485)))+P107(f315(f315(f241(x103481,x103482,x103483,f315(f315(f9(x103481,f901(f900(x103481,x103482),a891),f901(x103482,a891)),f315(f315(f10(f901(x103482,f901(f901(f900(x103481,x103482),a891),a891)),f901(f901(f900(x103481,x103482),a891),f901(x103482,a891)),x103481),f9(x103482,f901(f900(x103481,x103482),a891),a891)),f315(f315(f10(f901(x103482,f900(x103481,x103482)),f901(x103482,f901(f901(f900(x103481,x103482),a891),a891)),x103481),f315(f10(f900(x103481,x103482),f901(f901(f900(x103481,x103482),a891),a891),x103482),f317(f900(x103481,x103482)))),f240(x103481,x103482)))),x103484),f315(f315(f9(x103482,f901(f900(x103482,x103483),a891),f901(x103483,a891)),f315(f315(f10(f901(x103483,f901(f901(f900(x103482,x103483),a891),a891)),f901(f901(f900(x103482,x103483),a891),f901(x103483,a891)),x103482),f9(x103483,f901(f900(x103482,x103483),a891),a891)),f315(f315(f10(f901(x103483,f900(x103482,x103483)),f901(x103483,f901(f901(f900(x103482,x103483),a891),a891)),x103482),f315(f10(f900(x103482,x103483),f901(f901(f900(x103482,x103483),a891),a891),x103483),f317(f900(x103482,x103483)))),f240(x103482,x103483)))),x103485)),x103486),x103487))
% 201.32/201.09 [10358]P107(f315(f315(f317(f900(x103581,x103582)),f315(f315(f240(x103581,x103582),x103583),x103584)),f315(f315(f277(x103581,x103585,x103582),x103586),x103587)))+~P107(f315(f315(f241(x103581,x103585,x103582,f315(f315(f9(x103581,f901(f900(x103581,x103585),a891),f901(x103585,a891)),f315(f315(f10(f901(x103585,f901(f901(f900(x103581,x103585),a891),a891)),f901(f901(f900(x103581,x103585),a891),f901(x103585,a891)),x103581),f9(x103585,f901(f900(x103581,x103585),a891),a891)),f315(f315(f10(f901(x103585,f900(x103581,x103585)),f901(x103585,f901(f901(f900(x103581,x103585),a891),a891)),x103581),f315(f10(f900(x103581,x103585),f901(f901(f900(x103581,x103585),a891),a891),x103585),f317(f900(x103581,x103585)))),f240(x103581,x103585)))),x103586),f315(f315(f9(x103585,f901(f900(x103585,x103582),a891),f901(x103582,a891)),f315(f315(f10(f901(x103582,f901(f901(f900(x103585,x103582),a891),a891)),f901(f901(f900(x103585,x103582),a891),f901(x103582,a891)),x103585),f9(x103582,f901(f900(x103585,x103582),a891),a891)),f315(f315(f10(f901(x103582,f900(x103585,x103582)),f901(x103582,f901(f901(f900(x103585,x103582),a891),a891)),x103585),f315(f10(f900(x103585,x103582),f901(f901(f900(x103585,x103582),a891),a891),x103582),f317(f900(x103585,x103582)))),f240(x103585,x103582)))),x103587)),x103583),x103584))
% 201.32/201.09 [10290]~P148(x102902)+E(f315(f315(f8(x102901,x102902),f315(f315(f9(x102901,f901(x102903,a891),x102902),f315(f315(f10(f901(x102903,x102902),f901(f901(x102903,a891),x102902),x102901),f8(x102903,x102902)),f315(f315(f9(x102901,f901(x102903,x102902),f901(x102903,x102902)),f315(f315(f10(f901(x102902,x102902),f901(f901(x102903,x102902),f901(x102903,x102902)),x102901),f10(x102902,x102902,x102903)),f315(f315(f10(x102902,f901(x102902,x102902),x102901),f74(x102902)),x102904))),x102905))),x102906)),x102907),f315(f315(f74(x102902),f315(f315(f8(x102901,x102902),x102904),x102907)),f315(f315(f8(x102903,x102902),x102905),x102906)))
% 201.32/201.09 [9366]~P19(x93667,x93661,x93663,x93668)+E(f315(f66(x93661,x93661,x93662,f315(x93663,x93664)),f315(f66(x93661,x93661,x93662,f315(x93663,x93665)),x93666)),f315(f66(x93661,x93661,x93662,f315(x93663,x93665)),f315(f66(x93661,x93661,x93662,f315(x93663,x93664)),x93666)))
% 201.32/201.09 [10353]E(f315(f315(f240(x103531,x103532),f315(x103533,f525(x103534,x103535,x103533,x103536,x103537,x103538,x103532,x103531))),f315(x103535,f526(x103534,x103535,x103533,x103536,x103537,x103538,x103532,x103531))),x103538)+~P107(f315(f315(f317(f900(x103531,x103532)),x103538),f315(f298(f900(x103537,x103536),f900(x103531,x103532),f246(x103537,x103531,x103536,x103532,x103533,x103535)),x103534)))
% 201.32/201.09 [10371]~P107(f315(f315(f317(f900(x103718,x103717)),x103716),f315(f298(f900(x103711,x103712),f900(x103718,x103717),f246(x103711,x103718,x103712,x103717,x103715,x103714)),x103713)))+P107(f315(f315(f317(f900(x103711,x103712)),f315(f315(f240(x103711,x103712),f525(x103713,x103714,x103715,x103712,x103711,x103716,x103717,x103718)),f526(x103713,x103714,x103715,x103712,x103711,x103716,x103717,x103718))),x103713))
% 201.32/201.09 [9818]P107(f315(f315(f317(f900(f900(x98181,x98182),f900(x98181,x98182))),f315(f315(f240(f900(x98181,x98182),f900(x98181,x98182)),f315(f315(f240(x98181,x98182),x98183),x98184)),f315(f315(f240(x98181,x98182),x98185),x98186))),f307(x98181,x98182,x98187,x98188)))+~P107(f315(f315(f317(f900(x98181,x98181)),f315(f315(f240(x98181,x98181),x98183),x98185)),x98187))
% 201.32/201.09 [10342]E(f315(f131(x103421,x103422,f315(f9(x103422,x103421,x103421),x103423),f315(x103424,x103425)),x103426),f315(x103424,f315(f131(x103427,x103422,f315(f9(x103422,x103427,x103427),x103428),x103425),x103426)))+P107(f315(f315(f317(x103422),f711(x103425,x103428,x103424,x103423,x103427,x103421,x103426,x103422)),f315(f161(x103422),x103426)))
% 201.32/201.09 [10361]~E(f315(f66(x103611,x103611,x103617,f315(x103613,f711(x103615,x103618,x103614,x103613,x103617,x103611,x103616,x103612))),x103614),f315(f66(x103617,x103611,x103617,x103614),f315(x103618,f711(x103615,x103618,x103614,x103613,x103617,x103611,x103616,x103612))))+E(f315(f131(x103611,x103612,f315(f9(x103612,x103611,x103611),x103613),f315(x103614,x103615)),x103616),f315(x103614,f315(f131(x103617,x103612,f315(f9(x103612,x103617,x103617),x103618),x103615),x103616)))
% 201.32/201.09 [8581]E(f315(x85811,f315(x85812,x85813)),f315(x85814,f315(x85815,x85813)))+~E(f315(f66(x85816,x85817,x85818,x85811),x85812),f315(f66(x85819,x85817,x85818,x85814),x85815))
% 201.32/201.09 [10199]P107(f315(f315(f317(f900(x101991,x101992)),f315(f315(f240(x101991,x101992),f315(x101993,x101994)),f315(x101995,x101996))),f315(f298(f900(x101997,x101998),f900(x101991,x101992),f246(x101997,x101991,x101998,x101992,x101993,x101995)),x101999)))+~P107(f315(f315(f317(f900(x101997,x101998)),f315(f315(f240(x101997,x101998),x101994),x101996)),x101999))
% 201.32/201.09 [8877]~E(f315(x88774,f315(x88775,x88776)),f315(x88779,f315(x887710,x887711)))+E(f315(f315(f66(x88771,x88772,x88773,x88774),x88775),x88776),f315(f315(f66(x88777,x88772,x88778,x88779),x887710),x887711))
% 201.32/201.09 [4642]~P110(x46421)+~P103(x46421)+E(f90(x46421),f221(x46421))
% 201.32/201.09 [4643]~P2(x46431)+~P110(x46431)+E(f99(x46431),f222(x46431))
% 201.32/201.09 [4888]~P120(x48881)+~P97(x48881)+E(f315(f69(x48881),f315(f92(x48881),a86)),f71(x48881))
% 201.32/201.09 [5182]E(x51821,f2(a1))+E(f75(a1,x51821),f315(f72(a1),f71(a1)))+P107(f315(f315(f224(a1),f2(a1)),x51821))
% 201.32/201.09 [5387]E(x53871,f2(a1))+E(f75(a1,x53871),f71(a1))+~P107(f315(f315(f224(a1),f2(a1)),x53871))
% 201.32/201.09 [7449]~P42(x74491)+P107(f315(f54(a1),x74491))+~P107(f315(f54(a893),f315(f298(a1,a893,a93),x74491)))
% 201.32/201.09 [9780]E(x97801,f177(f901(f900(a893,a893),a891)))+~P107(f315(f54(f900(a893,a893)),x97801))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f177(f901(f900(a893,a893),a891))),x97801)),a27))
% 201.32/201.09 [9941]E(x99411,f2(a893))+E(x99411,f315(a101,f2(a893)))+~P107(f315(f315(f224(a893),x99411),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.09 [10228]E(x102281,f2(a88))+E(f315(f315(f73(a1),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(a24,f315(f315(f29(a88),x102281),f315(f92(a88),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))),f71(a1)),f315(a24,x102281))+E(f38(a88,x102281,f315(f92(a88),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f2(a88))
% 201.32/201.09 [10077]E(x100771,f2(a88))+~E(f38(a88,x100771,f315(f92(a88),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f2(a88))+E(f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(a24,f315(f315(f29(a88),x100771),f315(f92(a88),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f315(a24,x100771))
% 201.32/201.09 [4723]~P59(x47231,x47232)+P46(x47231,x47232)+~P47(a891)
% 201.32/201.09 [4652]~P147(x46521)+P29(x46521,x46522)+~E(x46522,f2(x46521))
% 201.32/201.09 [4653]~P110(x46531)+P13(x46531,x46532)+~E(x46532,f102(x46531))
% 201.32/201.09 [4662]~P120(x46621)+~E(x46622,f2(x46621))+E(f75(x46621,x46622),f2(x46621))
% 201.32/201.09 [4663]~P93(x46631)+~E(x46632,f2(x46631))+E(f75(x46631,x46632),f2(x46631))
% 201.32/201.09 [4671]~P147(x46712)+~P29(x46712,x46711)+E(x46711,f2(x46712))
% 201.32/201.09 [4716]~P120(x47162)+~E(f75(x47162,x47161),f2(x47162))+E(x47161,f2(x47162))
% 201.32/201.09 [4730]~P4(x47302)+~P4(x47301)+P4(f901(x47301,x47302))
% 201.32/201.09 [4731]~P4(x47312)+~P4(x47311)+P4(f899(x47311,x47312))
% 201.32/201.09 [4732]~P4(x47322)+~P4(x47321)+P4(f900(x47321,x47322))
% 201.32/201.09 [4733]~P6(x47332)+~P6(x47331)+P6(f183(x47331,x47332))
% 201.32/201.09 [4734]~P64(x47342)+~P64(x47341)+P64(f901(x47341,x47342))
% 201.32/201.09 [4735]~P64(x47352)+~P64(x47351)+P64(f899(x47351,x47352))
% 201.32/201.09 [4736]~P64(x47362)+~P64(x47361)+P64(f900(x47361,x47362))
% 201.32/201.09 [4737]~P105(x47372)+~P105(x47371)+P105(f900(x47371,x47372))
% 201.32/201.09 [4860]~P110(x48601)+~P13(x48601,x48602)+P13(x48601,f141(x48601,x48602))
% 201.32/201.09 [5108]~P6(x51082)+~P6(x51081)+P6(f38(a1,x51081,x51082))
% 201.32/201.09 [4673]~P78(x46731)+~E(x46732,f2(x46731))+E(f315(f72(x46731),x46732),x46732)
% 201.32/201.09 [4688]~P144(x46881)+~E(x46882,f2(a1))+E(f315(f91(x46881),x46882),f2(x46881))
% 201.32/201.09 [4689]~P95(x46891)+~E(x46892,f2(a1))+E(f315(f91(x46891),x46892),f2(x46891))
% 201.32/201.09 [4713]~P77(x47131)+~E(f2(x47131),x47132)+E(f315(f72(x47131),x47132),f2(x47131))
% 201.32/201.09 [4714]~P88(x47141)+~E(x47142,f2(x47141))+E(f315(f69(x47141),x47142),f2(x47141))
% 201.32/201.09 [4715]~P77(x47151)+~E(x47152,f2(x47151))+E(f315(f72(x47151),x47152),f2(x47151))
% 201.32/201.09 [4739]~P78(x47392)+E(x47391,f2(x47392))+~E(f315(f72(x47392),x47391),x47391)
% 201.32/201.09 [4741]E(x47411,f315(a93,x47412))+~E(x47411,f2(a893))+~E(x47412,f315(f89(a1),x47411))
% 201.32/201.09 [4742]E(f315(a93,x47421),x47422)+~E(x47422,f2(a893))+~E(x47421,f315(f89(a1),x47422))
% 201.32/201.09 [4746]~P95(x47462)+E(x47461,f2(a1))+~E(f315(f91(x47462),x47461),f2(x47462))
% 201.32/201.09 [4750]~P88(x47502)+E(x47501,f2(x47502))+~E(f315(f69(x47502),x47501),f2(x47502))
% 201.32/201.09 [4751]~P77(x47512)+E(x47511,f2(x47512))+~E(f315(f72(x47512),x47511),f2(x47512))
% 201.32/201.09 [4752]~P77(x47521)+E(f2(x47521),x47522)+~E(f315(f72(x47521),x47522),f2(x47521))
% 201.32/201.09 [4935]~P110(x49351)+~P13(x49351,x49352)+P13(x49351,f315(f160(x49351),x49352))
% 201.32/201.09 [4962]~P107(x49622)+~P107(x49621)+P107(f315(f315(a313,x49621),x49622))
% 201.32/201.09 [5000]~E(f71(a893),f2(a893))+E(f315(f28(x50001),x50002),f2(a893))+~P107(f315(f54(x50001),x50002))
% 201.32/201.09 [5036]~P116(x50361)+~P148(x50361)+E(f315(f315(f232(x50361),f2(x50361)),f315(a101,x50362)),f2(x50361))
% 201.32/201.09 [5076]~P110(x50761)+P13(x50761,f128(x50761,x50762))+~P107(f315(f54(x50761),x50762))
% 201.32/201.09 [5077]~P110(x50771)+P13(x50771,f703(x50772,x50771))+~P107(f315(f54(x50771),x50772))
% 201.32/201.09 [5100]~P110(x51001)+E(f315(f161(x51001),f128(x51001,x51002)),x51002)+~P107(f315(f54(x51001),x51002))
% 201.32/201.09 [5101]~P110(x51011)+E(f315(f161(x51011),f703(x51012,x51011)),x51012)+~P107(f315(f54(x51011),x51012))
% 201.32/201.09 [5130]P107(x51301)+P107(x51302)+~P107(f315(f315(a314,x51302),x51301))
% 201.32/201.09 [5143]E(x51431,f177(f901(x51432,a891)))+~E(f315(f28(x51432),x51431),f2(a893))+~P107(f315(f54(x51432),x51431))
% 201.32/201.09 [5148]P107(x51481)+~P107(x51482)+~P107(f315(f315(a318,x51482),x51481))
% 201.32/201.09 [5200]~P75(x52001)+E(f315(f69(x52001),x52002),x52002)+P107(f315(f315(f224(x52001),x52002),f2(x52001)))
% 201.32/201.09 [5260]~P64(x52602)+~P107(f315(f49(x52602),x52601))+P107(f315(x52601,f704(x52601,x52602)))
% 201.32/201.09 [5261]~P64(x52612)+~P107(f315(f49(x52612),x52611))+P107(f315(x52611,f712(x52611,x52612)))
% 201.32/201.10 [5303]E(x53031,f102(x53032))+P107(f315(f126(x53032),f103(x53032,x53031)))+~P107(f315(f126(x53032),x53031))
% 201.32/201.10 [5308]~P110(x53081)+~P107(f315(f54(x53081),x53082))+P107(f315(f126(x53081),f128(x53081,x53082)))
% 201.32/201.10 [5309]~P110(x53091)+~P107(f315(f54(x53091),x53092))+P107(f315(f126(x53091),f703(x53092,x53091)))
% 201.32/201.10 [5314]~P144(x53141)+E(f315(f89(x53141),f315(a93,x53142)),f315(f91(x53141),x53142))+P107(f315(f315(f224(a1),x53142),f2(a1)))
% 201.32/201.10 [5335]P7(x53352,x53351)+E(f315(x53351,f485(x53351)),f315(x53351,f489(x53351)))+P107(f315(f315(x53351,f485(x53351)),f489(x53351)))
% 201.32/201.10 [5348]E(f315(f89(a1),f347(x53481,x53482)),x53481)+P107(f315(x53482,f315(a93,x53481)))+~P107(f315(x53482,f2(a893)))
% 201.32/201.10 [5361]~P64(x53611)+~P107(f315(x53612,f717(x53612,x53611)))+P107(f315(f50(x53611),x53612))
% 201.32/201.10 [5362]~P64(x53621)+~P107(f315(x53622,f727(x53622,x53621)))+P107(f315(f50(x53621),x53622))
% 201.32/201.10 [5397]~P120(x53971)+~E(f75(x53971,x53972),f315(f72(x53971),f71(x53971)))+P107(f315(f315(f224(x53971),x53972),f2(x53971)))
% 201.32/201.10 [5472]~E(x54722,f2(a1))+E(f204(x54721,x54722),f315(f315(f240(a1,a1),f2(a1)),f71(a1)))+P107(f315(f315(f224(a1),x54722),f2(a1)))
% 201.32/201.10 [5473]~E(x54731,f2(a1))+E(f204(x54731,x54732),f315(f315(f240(a1,a1),f2(a1)),f71(a1)))+P107(f315(f315(f224(a1),x54732),f2(a1)))
% 201.32/201.10 [5526]E(f315(f89(a1),f347(x55261,x55262)),x55261)+P107(f315(x55262,f315(a93,x55261)))+P107(f315(f315(f224(a1),x55261),f2(a1)))
% 201.32/201.10 [5595]~P120(x55951)+E(f75(x55951,x55952),f315(f72(x55951),f71(x55951)))+~P107(f315(f315(f224(x55951),x55952),f2(x55951)))
% 201.32/201.10 [5596]~P88(x55961)+E(f315(f69(x55961),x55962),f315(f72(x55961),x55962))+~P107(f315(f315(f223(x55961),x55962),f2(x55961)))
% 201.32/201.10 [5597]~P88(x55971)+E(f315(f69(x55971),x55972),f315(f72(x55971),x55972))+~P107(f315(f315(f224(x55971),x55972),f2(x55971)))
% 201.32/201.10 [5598]~P75(x55981)+E(f315(f69(x55981),x55982),f315(f72(x55981),x55982))+~P107(f315(f315(f224(x55981),x55982),f2(x55981)))
% 201.32/201.10 [5699]~P107(f315(x56991,f347(x56992,x56991)))+P107(f315(x56991,f315(a93,x56992)))+~P107(f315(x56991,f2(a893)))
% 201.32/201.10 [5706]E(x57061,f2(a893))+E(f315(a101,f848(x57062,x57061)),x57061)+~P107(f315(f315(f224(a893),x57061),f315(a101,x57062)))
% 201.32/201.10 [5710]P7(x57101,x57102)+~E(f315(x57102,f485(x57102)),f315(x57102,f489(x57102)))+~P107(f315(f315(x57102,f485(x57102)),f489(x57102)))
% 201.32/201.10 [5728]~P110(x57281)+P13(x57281,x57282)+P107(f315(f315(f223(a893),f686(x57282,x57281)),f687(x57282,x57281)))
% 201.32/201.10 [5729]~P110(x57291)+P13(x57291,x57292)+P107(f315(f315(f223(a893),f694(x57292,x57291)),f698(x57292,x57291)))
% 201.32/201.10 [5815]~P88(x58151)+~E(x58152,f2(x58151))+P107(f315(f315(f223(x58151),f315(f69(x58151),x58152)),f2(x58151)))
% 201.32/201.10 [5912]~P107(f315(x59121,f347(x59122,x59121)))+P107(f315(x59121,f315(a93,x59122)))+P107(f315(f315(f224(a1),x59122),f2(a1)))
% 201.32/201.10 [5937]~P107(f315(x59371,f315(a93,x59372)))+P107(f315(x59371,f2(a893)))+~P107(f315(f315(f224(a1),x59372),f2(a1)))
% 201.32/201.10 [6290]~P120(x62901)+~P107(f315(f315(f224(x62901),x62902),f2(x62901)))+P107(f315(f315(f224(x62901),f75(x62901,x62902)),f2(x62901)))
% 201.32/201.10 [6408]~P120(x64081)+P107(f315(f315(f223(x64081),f315(f91(x64081),x64082)),f2(x64081)))+~P107(f315(f315(f223(a1),x64082),f2(a1)))
% 201.32/201.10 [6409]~P120(x64091)+P107(f315(f315(f224(x64091),f315(f91(x64091),x64092)),f2(x64091)))+~P107(f315(f315(f224(a1),x64092),f2(a1)))
% 201.32/201.10 [6418]~P88(x64182)+E(x64181,f2(x64182))+~P107(f315(f315(f223(x64182),f315(f69(x64182),x64181)),f2(x64182)))
% 201.32/201.10 [6497]~P144(x64971)+~P107(f315(f315(f317(x64971),x64972),f98(x64971)))+P107(f315(f315(f317(x64971),f315(f72(x64971),x64972)),f98(x64971)))
% 201.32/201.10 [6529]~P120(x65291)+~P107(f315(f315(f224(x65291),f75(x65291,x65292)),f2(x65291)))+P107(f315(f315(f224(x65291),x65292),f2(x65291)))
% 201.32/201.10 [6706]~P120(x67062)+~P107(f315(f315(f223(x67062),f315(f91(x67062),x67061)),f2(x67062)))+P107(f315(f315(f223(a1),x67061),f2(a1)))
% 201.32/201.10 [6707]~P120(x67072)+~P107(f315(f315(f224(x67072),f315(f91(x67072),x67071)),f2(x67072)))+P107(f315(f315(f224(a1),x67071),f2(a1)))
% 201.32/201.10 [7221]~P78(x72211)+~P107(f315(f315(f223(x72211),x72212),f2(x72211)))+P107(f315(f315(f223(x72211),f315(f315(f73(x72211),x72212),x72212)),f2(x72211)))
% 201.32/201.10 [7223]~P120(x72231)+~P107(f315(f315(f224(x72231),x72232),f2(x72231)))+P107(f315(f315(f224(x72231),f315(f315(f73(x72231),x72232),x72232)),f2(x72231)))
% 201.32/201.10 [7224]~P78(x72241)+~P107(f315(f315(f224(x72241),x72242),f2(x72241)))+P107(f315(f315(f224(x72241),f315(f315(f73(x72241),x72242),x72242)),f2(x72241)))
% 201.32/201.10 [7796]~P78(x77961)+~P107(f315(f315(f223(x77961),f315(f315(f73(x77961),x77962),x77962)),f2(x77961)))+P107(f315(f315(f223(x77961),x77962),f2(x77961)))
% 201.32/201.10 [7797]~P120(x77971)+~P107(f315(f315(f224(x77971),f315(f315(f73(x77971),x77972),x77972)),f2(x77971)))+P107(f315(f315(f224(x77971),x77972),f2(x77971)))
% 201.32/201.10 [7798]~P78(x77981)+~P107(f315(f315(f224(x77981),f315(f315(f73(x77981),x77982),x77982)),f2(x77981)))+P107(f315(f315(f224(x77981),x77982),f2(x77981)))
% 201.32/201.10 [4787]~E(x47872,f71(a893))+~E(x47871,f71(a893))+E(f315(f315(f74(a893),x47871),x47872),f71(a893))
% 201.32/201.10 [4788]~E(x47882,f71(a1))+~E(x47881,f71(a1))+E(f315(f315(f74(a1),x47881),x47882),f71(a1))
% 201.32/201.10 [4789]~E(x47892,f2(a893))+~E(x47891,f2(a893))+E(f315(f315(f73(a893),x47891),x47892),f2(a893))
% 201.32/201.10 [4844]~P124(x48442)+E(x48441,f2(x48442))+E(f315(f315(f279(x48442),x48441),x48441),f71(x48442))
% 201.32/201.10 [4845]~P62(x48452)+E(x48451,f2(x48452))+E(f315(f315(f29(x48452),x48451),x48451),f71(x48452))
% 201.32/201.10 [4846]~P125(x48462)+E(x48461,f2(x48462))+E(f315(f315(f279(x48462),x48461),x48461),f71(x48462))
% 201.32/201.10 [4866]~P145(x48661)+~E(x48662,f71(x48661))+E(f315(f315(f74(x48661),x48662),x48662),f71(x48661))
% 201.32/201.10 [4867]~P78(x48671)+~E(x48672,f2(x48671))+E(f315(f315(f73(x48671),x48672),x48672),f2(x48671))
% 201.32/201.10 [4868]~P125(x48681)+~E(x48682,f2(x48681))+E(f315(f315(f279(x48681),x48682),x48682),f2(x48681))
% 201.32/201.10 [4913]~E(x49132,f2(a893))+~E(x49131,f2(a893))+E(f315(f72(a1),f315(f89(a1),x49131)),f315(f89(a1),x49132))
% 201.32/201.10 [4932]E(x49321,f71(a893))+E(x49322,f2(a893))+~E(f315(f315(f74(a893),x49322),x49321),x49322)
% 201.32/201.10 [4944]E(x49441,f2(a893))+E(x49442,f2(a893))+~E(f315(f315(f74(a893),x49442),x49441),f2(a893))
% 201.32/201.10 [4971]~E(x49712,f2(a893))+~E(x49711,f315(a101,f2(a893)))+E(f315(f315(f73(a893),x49711),x49712),f315(a101,f2(a893)))
% 201.32/201.10 [4972]~E(x49721,f2(a893))+~E(x49722,f315(a101,f2(a893)))+E(f315(f315(f73(a893),x49721),x49722),f315(a101,f2(a893)))
% 201.32/201.10 [4979]E(x49791,f71(a1))+E(x49792,f315(f92(a1),a86))+~E(f315(f315(f74(a1),x49791),x49792),f71(a1))
% 201.32/201.10 [4980]E(x49801,f71(a1))+E(x49802,f315(f92(a1),a86))+~E(f315(f315(f74(a1),x49802),x49801),f71(a1))
% 201.32/201.10 [4981]E(x49811,f71(a1))+E(x49811,f315(f92(a1),a86))+~E(f315(f315(f74(a1),x49812),x49811),f71(a1))
% 201.32/201.10 [4983]E(x49831,f71(a1))+E(x49831,f315(f92(a1),a86))+~E(f315(f315(f74(a1),x49831),x49832),f71(a1))
% 201.32/201.10 [5008]~P78(x50082)+E(x50081,f2(x50082))+~E(f315(f315(f73(x50082),x50081),x50081),f2(x50082))
% 201.32/201.10 [5014]~E(x50141,f315(f92(a1),a86))+~E(x50142,f315(f92(a1),a86))+E(f315(f315(f74(a1),x50141),x50142),f71(a1))
% 201.32/201.10 [5025]E(x50251,f2(a893))+E(x50252,f2(a893))+~E(f315(f315(f73(a893),x50252),x50251),f315(a101,f2(a893)))
% 201.32/201.10 [5035]~P65(x50351)+~P97(x50351)+E(f315(f315(f279(x50351),x50352),f315(f92(x50351),a76)),f2(x50351))
% 201.32/201.10 [5042]~P145(x50421)+~E(x50422,f315(f72(x50421),f71(x50421)))+E(f315(f315(f74(x50421),x50422),x50422),f71(x50421))
% 201.32/201.10 [5047]~P6(x50472)+~P6(x50471)+P6(f315(f315(f74(a1),x50471),x50472))
% 201.32/201.10 [5048]~P6(x50482)+~P6(x50481)+P6(f315(f315(f73(a1),x50481),x50482))
% 201.32/201.10 [5049]~P6(x50492)+~P6(x50491)+P6(f315(f315(f29(a1),x50491),x50492))
% 201.32/201.10 [5051]~E(x50512,f2(a1))+E(x50511,f2(a1))+E(f39(x50511,x50512),f315(f315(f240(a1,a1),f2(a1)),x50511))
% 201.32/201.10 [5074]~E(x50742,f315(a101,f2(a893)))+~E(x50741,f315(a101,f2(a893)))+E(f315(f315(f74(a893),x50741),x50742),f315(a101,f2(a893)))
% 201.32/201.10 [5091]E(x50911,f2(a893))+E(x50912,f315(a101,f2(a893)))+~E(f315(f315(f232(a893),x50912),x50911),f315(a101,f2(a893)))
% 201.32/201.10 [5092]E(x50921,f2(a893))+E(x50921,f315(a101,f2(a893)))+~E(f315(f315(f73(a893),x50922),x50921),f315(a101,f2(a893)))
% 201.32/201.10 [5093]E(x50931,f2(a893))+E(x50931,f315(a101,f2(a893)))+~E(f315(f315(f73(a893),x50931),x50932),f315(a101,f2(a893)))
% 201.32/201.10 [5102]~P65(x51021)+~P97(x51021)+E(f315(f315(f279(x51021),x51022),f315(f92(x51021),a86)),f315(f72(x51021),x51022))
% 201.32/201.10 [5122]E(x51221,f315(a93,x51222))+~E(x51221,f2(a893))+P107(f315(f315(f223(a1),f2(a1)),x51222))
% 201.32/201.10 [5123]E(f315(a93,x51231),x51232)+~E(x51232,f2(a893))+P107(f315(f315(f223(a1),f2(a1)),x51231))
% 201.32/201.10 [5139]E(x51391,f315(a101,f2(a893)))+E(x51392,f315(a101,f2(a893)))+~E(f315(f315(f73(a893),x51391),x51392),f315(a101,f2(a893)))
% 201.32/201.10 [5150]~E(x51501,f315(a93,x51502))+E(x51501,f2(a893))+P107(f315(f315(f223(a1),f2(a1)),x51502))
% 201.32/201.10 [5151]~E(f315(a93,x51512),x51511)+E(x51511,f2(a893))+P107(f315(f315(f223(a1),f2(a1)),x51512))
% 201.32/201.10 [5174]~P80(x51741)+E(f315(f56(x51741,f99(x51741)),x51742),f12(x51741,x51742))+~P107(f315(f54(x51741),x51742))
% 201.32/201.10 [5175]~P80(x51751)+E(f315(f56(x51751,f90(x51751)),x51752),f13(x51751,x51752))+~P107(f315(f54(x51751),x51752))
% 201.32/201.10 [5176]~P110(x51761)+E(f315(f56(x51761,f221(x51761)),x51762),f16(x51761,x51762))+~P107(f315(f54(x51761),x51762))
% 201.32/201.10 [5177]~P110(x51771)+E(f315(f56(x51771,f222(x51771)),x51772),f17(x51771,x51772))+~P107(f315(f54(x51771),x51772))
% 201.32/201.10 [5255]E(x52551,x52552)+~E(f315(f315(f3(a893),x52552),x52551),f2(a893))+~E(f315(f315(f3(a893),x52551),x52552),f2(a893))
% 201.32/201.10 [5273]P6(x52731)+~P42(x52732)+~P107(f315(f315(f317(a1),x52731),x52732))
% 201.32/201.10 [5304]~P120(x53041)+~E(f75(x53041,x53042),f71(x53041))+P107(f315(f315(f224(x53041),f2(x53041)),x53042))
% 201.32/201.10 [5315]~P97(x53151)+E(f315(f89(x53151),f315(f92(a893),x53152)),f315(f92(x53151),x53152))+P107(f315(a182,f315(f92(a1),x53152)))
% 201.32/201.10 [5320]~P46(x53201,x53202)+P47(a891)+P107(f315(f54(f900(x53201,x53201)),x53202))
% 201.32/201.10 [5389]~P110(x53891)+E(f315(f56(x53891,f221(x53891)),x53892),f14(x53891,f221(x53891),x53892))+~P107(f315(f54(x53891),x53892))
% 201.32/201.10 [5390]~P110(x53901)+E(f315(f56(x53901,f222(x53901)),x53902),f15(x53901,f222(x53901),x53902))+~P107(f315(f54(x53901),x53902))
% 201.32/201.10 [5404]E(x54041,x54042)+P107(f315(f315(f224(a893),x54042),x54041))+P107(f315(f315(f224(a893),x54041),x54042))
% 201.32/201.10 [5405]E(x54051,x54052)+P107(f315(f315(f224(a1),x54052),x54051))+P107(f315(f315(f224(a1),x54051),x54052))
% 201.32/201.10 [5459]~P97(x54591)+E(f315(f89(x54591),f315(f92(a893),x54592)),f2(x54591))+~P107(f315(a182,f315(f92(a1),x54592)))
% 201.32/201.10 [5462]~E(x54622,f315(a93,x54621))+E(x54621,f315(f89(a1),x54622))+~P107(f315(f315(f223(a1),f2(a1)),x54621))
% 201.32/201.10 [5463]~E(f315(a93,x54631),x54632)+E(x54631,f315(f89(a1),x54632))+~P107(f315(f315(f223(a1),f2(a1)),x54631))
% 201.32/201.10 [5464]~E(x54641,f315(a93,x54642))+E(f315(f89(a1),x54641),x54642)+~P107(f315(f315(f223(a1),f2(a1)),x54642))
% 201.32/201.10 [5474]E(x54741,f315(a93,x54742))+~E(x54742,f315(f89(a1),x54741))+~P107(f315(f315(f223(a1),f2(a1)),x54742))
% 201.32/201.10 [5475]E(f315(a93,x54751),x54752)+~E(x54751,f315(f89(a1),x54752))+~P107(f315(f315(f223(a1),f2(a1)),x54751))
% 201.32/201.10 [5506]~P113(x55062)+E(x55061,f2(x55062))+~P107(f315(f315(f275(x55062),f2(x55062)),x55061))
% 201.32/201.10 [5517]~P88(x55172)+E(x55171,f2(x55172))+P107(f315(f315(f224(x55172),f2(x55172)),f315(f69(x55172),x55171)))
% 201.32/201.10 [5582]~P120(x55821)+E(f75(x55821,x55822),f71(x55821))+~P107(f315(f315(f224(x55821),f2(x55821)),x55822))
% 201.32/201.10 [5588]~P97(x55881)+E(f315(f89(x55881),f315(f92(a893),x55882)),f2(x55881))+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x55882)))
% 201.32/201.10 [5599]~P88(x55991)+E(f315(f69(x55991),x55992),x55992)+~P107(f315(f315(f223(x55991),f2(x55991)),x55992))
% 201.32/201.10 [5600]~P88(x56001)+E(f315(f69(x56001),x56002),x56002)+~P107(f315(f315(f224(x56001),f2(x56001)),x56002))
% 201.32/201.10 [5609]E(x56091,f2(a893))+~E(f128(a893,f315(f290(a893,x56092),x56091)),f102(a893))+P107(f315(f315(f223(a893),x56091),x56092))
% 201.32/201.10 [5620]~P76(x56201)+E(f315(f315(f8(x56201,x56201),f7(x56201)),f315(f161(x56201),x56202)),f315(f154(x56201),x56202))+~P107(f315(f126(x56201),x56202))
% 201.32/201.10 [5623]~P144(x56231)+E(f315(f89(x56231),f315(a93,x56232)),f315(f91(x56231),x56232))+~P107(f315(f315(f223(a1),f2(a1)),x56232))
% 201.32/201.10 [5650]E(x56501,x56502)+P107(f315(f315(f224(a893),x56501),x56502))+~P107(f315(f315(f223(a893),x56501),x56502))
% 201.32/201.10 [5651]E(x56511,x56512)+P107(f315(f315(f224(a1),x56511),x56512))+~P107(f315(f315(f223(a1),x56511),x56512))
% 201.32/201.10 [5654]E(x56541,f71(a1))+~E(f315(f315(f74(a1),x56542),x56541),f71(a1))+~P107(f315(f315(f224(a1),f2(a1)),x56542))
% 201.32/201.10 [5655]E(x56551,f71(a1))+~E(f315(f315(f74(a1),x56551),x56552),f71(a1))+~P107(f315(f315(f224(a1),f2(a1)),x56551))
% 201.32/201.10 [5696]~P42(x56962)+P107(f315(f315(f223(a1),f2(a1)),x56961))+~P107(f315(f315(f317(a1),x56961),x56962))
% 201.32/201.10 [5715]~P59(x57151,x57152)+P39(x57151,x57152)+~P107(f315(f54(f900(x57151,x57151)),x57152))
% 201.32/201.10 [5717]~P59(x57171,x57172)+P46(x57171,x57172)+~P107(f315(f54(f900(x57171,x57171)),x57172))
% 201.32/201.10 [5759]E(x57591,f177(f901(x57592,a891)))+~P107(f315(f54(x57592),x57591))+P107(f315(f315(f224(a893),f2(a893)),f315(f28(x57592),x57591)))
% 201.32/201.10 [5786]~P107(f315(x57861,x57862))+P107(f315(x57861,f2(a893)))+P107(f315(f315(f224(a893),f862(x57862,x57861)),x57862))
% 201.32/201.10 [5809]E(x58091,f2(a893))+~E(f315(f154(a893),x58092),f2(a893))+~P107(f315(f315(f317(a893),x58091),f315(f161(a893),x58092)))
% 201.32/201.10 [5877]E(x58771,x58772)+~P107(f315(f315(f223(a893),x58772),x58771))+~P107(f315(f315(f223(a893),x58771),x58772))
% 201.32/201.10 [5878]E(x58781,x58782)+~P107(f315(f315(f223(a1),x58782),x58781))+~P107(f315(f315(f223(a1),x58781),x58782))
% 201.32/201.10 [5887]E(x58871,x58872)+~P107(f315(f315(f275(a893),x58872),x58871))+~P107(f315(f315(f275(a893),x58871),x58872))
% 201.32/201.10 [5889]E(f315(f28(x58891),x58892),f2(a893))+~P107(f315(f54(x58891),x58892))+P107(f315(f315(f317(x58891),f864(x58892,x58891)),x58892))
% 201.32/201.10 [5898]E(f43(x58981,x58982),f39(x58981,x58982))+P107(f315(f315(f223(a1),f2(a1)),x58981))+~P107(f315(f315(f224(a1),f2(a1)),x58982))
% 201.32/201.10 [5924]~P107(f315(x59241,f342(x59241)))+P107(f315(x59241,f315(a93,x59242)))+~P107(f315(f315(f223(a1),f2(a1)),x59242))
% 201.32/201.10 [5927]P107(f315(f315(f223(a893),x59271),f387(x59272)))+~P107(f315(f54(a893),x59272))+~P107(f315(f315(f317(a893),x59271),x59272))
% 201.32/201.10 [5928]P107(f315(f315(f224(a893),x59281),f357(x59282)))+~P107(f315(f54(a893),x59282))+~P107(f315(f315(f317(a893),x59281),x59282))
% 201.32/201.10 [5959]E(x59591,x59592)+~P107(f315(f315(f224(a893),x59591),f315(a101,x59592)))+P107(f315(f315(f224(a893),x59591),x59592))
% 201.32/201.10 [5995]E(x59951,f315(a101,x59952))+~P107(f315(f315(f223(a893),x59951),f315(a101,x59952)))+P107(f315(f315(f223(a893),x59951),x59952))
% 201.32/201.10 [6011]P107(f315(x60111,f343(x60111)))+~P107(f315(x60111,f315(a93,x60112)))+~P107(f315(f315(f223(a1),f2(a1)),x60112))
% 201.32/201.10 [6027]~P107(f315(x60271,x60272))+~P107(f315(f315(f223(a1),f2(a1)),x60272))+P107(f315(x60271,f315(f89(a1),f874(x60271))))
% 201.32/201.10 [6038]~P88(x60382)+~E(x60381,f2(x60382))+~P107(f315(f315(f224(x60382),f2(x60382)),f315(f69(x60382),x60381)))
% 201.32/201.10 [6063]~P59(x60631,x60632)+P39(x60631,f315(f274(x60631,x60631),x60632))+~P107(f315(f54(f900(x60631,x60631)),x60632))
% 201.32/201.10 [6072]~P97(x60721)+E(f315(f89(x60721),f315(f92(a893),x60722)),f315(f92(x60721),x60722))+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x60722)))
% 201.32/201.10 [6075]E(f315(a101,x60751),x60752)+~P107(f315(f315(f224(a893),x60751),x60752))+P107(f315(f315(f224(a893),f315(a101,x60751)),x60752))
% 201.32/201.10 [6091]E(f315(f315(f29(a1),x60911),x60912),f2(a1))+~P107(f315(f315(f223(a1),x60911),f2(a1)))+~P107(f315(f315(f224(a1),x60912),x60911))
% 201.32/201.10 [6103]E(f38(a1,x61031,x61032),x61031)+~P107(f315(f315(f223(a1),x61031),f2(a1)))+~P107(f315(f315(f224(a1),x61032),x61031))
% 201.32/201.10 [6117]E(f40(x61171,x61172),f39(x61171,x61172))+~P107(f315(f315(f223(a1),f2(a1)),x61171))+~P107(f315(f315(f223(a1),f2(a1)),x61172))
% 201.32/201.10 [6127]E(f315(f315(f29(a1),x61271),x61272),f2(a1))+~P107(f315(f315(f223(a1),f2(a1)),x61271))+~P107(f315(f315(f224(a1),x61271),x61272))
% 201.32/201.10 [6138]E(f38(a893,f315(f92(a893),x61381),f315(f92(a893),x61382)),f315(f92(a893),x61381))+P107(f315(a182,f315(f92(a1),x61381)))+~P107(f315(a182,f315(f92(a1),x61382)))
% 201.32/201.10 [6140]E(f38(a1,x61401,x61402),x61401)+~P107(f315(f315(f223(a1),f2(a1)),x61401))+~P107(f315(f315(f224(a1),x61401),x61402))
% 201.32/201.10 [6141]E(x61411,x61412)+~P107(f315(f315(f224(a893),x61411),f315(a101,x61412)))+~P107(f315(f315(f223(a893),x61412),x61411))
% 201.32/201.10 [6155]~P78(x61551)+~P107(f315(f315(f223(x61551),x61552),f2(x61551)))+P107(f315(f315(f223(x61551),x61552),f315(f72(x61551),x61552)))
% 201.32/201.10 [6156]~P120(x61561)+~P107(f315(f315(f224(x61561),x61562),f2(x61561)))+P107(f315(f315(f224(x61561),x61562),f315(f72(x61561),x61562)))
% 201.32/201.10 [6166]~P5(x61661)+E(f315(f315(f57(x61661,x61661,f99(x61661)),f177(x61661)),x61662),f30(x61661,x61662))+~P107(f315(f54(x61661),x61662))
% 201.32/201.10 [6167]~P5(x61671)+E(f315(f315(f57(x61671,x61671,f90(x61671)),f230(x61671)),x61672),f31(x61671,x61672))+~P107(f315(f54(x61671),x61672))
% 201.32/201.10 [6184]~P120(x61841)+~P107(f315(f315(f223(a1),f2(a1)),x61842))+P107(f315(f315(f223(x61841),f2(x61841)),f315(f91(x61841),x61842)))
% 201.32/201.10 [6185]~P112(x61851)+~P107(f315(f315(f224(a893),f2(a893)),x61852))+P107(f315(f315(f224(x61851),f2(x61851)),f315(f89(x61851),x61852)))
% 201.32/201.10 [6186]~P120(x61861)+~P107(f315(f315(f224(a1),f2(a1)),x61862))+P107(f315(f315(f224(x61861),f2(x61861)),f315(f91(x61861),x61862)))
% 201.32/201.10 [6189]~P6(x61892)+~P6(x61891)+E(f315(f298(a893,a1,f89(a1)),f291(a893,f315(a93,x61891),f315(a93,x61892))),f291(a1,x61891,x61892))
% 201.32/201.10 [6195]P107(f315(x61951,x61952))+~P107(f315(f315(f223(a1),f2(a1)),x61952))+~P107(f315(x61951,f315(f89(a1),f329(x61951))))
% 201.32/201.10 [6227]E(f315(f315(f73(a893),f315(f92(a893),x62271)),f315(f92(a893),x62272)),f315(f92(a893),x62271))+P107(f315(f315(f224(a1),x62271),a76))+~P107(f315(f315(f224(a1),x62272),a76))
% 201.32/201.10 [6231]~P120(x62311)+P107(f315(f315(f224(x62311),f2(x62311)),f75(x62311,x62312)))+~P107(f315(f315(f224(x62311),f2(x62311)),x62312))
% 201.32/201.10 [6245]~P82(x62451)+~P107(f315(f315(f223(x62451),x62452),f2(x62451)))+P107(f315(f315(f223(x62451),f2(x62451)),f315(f72(x62451),x62452)))
% 201.32/201.10 [6246]~P82(x62461)+~P107(f315(f315(f224(x62461),x62462),f2(x62461)))+P107(f315(f315(f224(x62461),f2(x62461)),f315(f72(x62461),x62462)))
% 201.32/201.10 [6249]E(x62491,f230(f901(x62492,a891)))+~E(f315(f28(x62492),x62491),f315(f28(x62492),f230(f901(x62492,a891))))+~P107(f315(f54(x62492),f230(f901(x62492,a891))))
% 201.32/201.10 [6275]~P107(f315(f315(f224(a893),f2(a893)),x62752))+~P107(f315(f315(f275(a893),x62751),x62752))+P107(f315(f315(f223(a893),x62751),x62752))
% 201.32/201.10 [6282]~P78(x62821)+P107(f315(f315(f223(x62821),x62822),f2(x62821)))+~P107(f315(f315(f223(x62821),x62822),f315(f72(x62821),x62822)))
% 201.32/201.10 [6283]~P120(x62831)+P107(f315(f315(f224(x62831),x62832),f2(x62831)))+~P107(f315(f315(f224(x62831),x62832),f315(f72(x62831),x62832)))
% 201.32/201.10 [6292]~P97(x62921)+P107(f315(f315(f317(x62921),f315(f92(x62921),x62922)),f175(x62921)))+~P107(f315(f315(f223(a1),a76),x62922))
% 201.32/201.10 [6321]E(x63211,f2(a893))+~P107(f315(f315(f224(a893),x63211),f315(a101,x63212)))+P107(f315(f315(f224(a893),f848(x63212,x63211)),x63212))
% 201.32/201.10 [6345]~P120(x63451)+~P107(f315(f315(f224(x63451),f2(x63451)),f75(x63451,x63452)))+P107(f315(f315(f224(x63451),f2(x63451)),x63452))
% 201.32/201.10 [6347]~E(f315(f92(a893),x63472),f315(f92(a893),x63471))+P107(f315(f315(f223(a1),f315(f92(a1),x63471)),f2(a1)))+~P107(f315(a182,f315(f92(a1),x63472)))
% 201.32/201.10 [6376]E(f315(f239(a1,a1),f43(x63761,x63762)),f315(f315(f29(a1),x63761),x63762))+~P107(f315(f315(f224(a1),x63761),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x63762))
% 201.32/201.10 [6416]E(f315(f244(a1,a1),f43(x64161,x64162)),f38(a1,x64161,x64162))+~P107(f315(f315(f224(a1),x64161),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x64162))
% 201.32/201.10 [6419]~P120(x64192)+~P107(f315(f315(f223(x64192),f2(x64192)),f315(f91(x64192),x64191)))+P107(f315(f315(f223(a1),f2(a1)),x64191))
% 201.32/201.10 [6420]~P112(x64202)+~P107(f315(f315(f224(x64202),f2(x64202)),f315(f89(x64202),x64201)))+P107(f315(f315(f224(a893),f2(a893)),x64201))
% 201.32/201.10 [6421]~P120(x64212)+~P107(f315(f315(f224(x64212),f2(x64212)),f315(f91(x64212),x64211)))+P107(f315(f315(f224(a1),f2(a1)),x64211))
% 201.32/201.10 [6425]E(f315(f239(a1,a1),f40(x64251,x64252)),f315(f315(f29(a1),x64251),x64252))+~P107(f315(f315(f223(a1),f2(a1)),x64252))+~P107(f315(f315(f224(a1),f2(a1)),x64251))
% 201.32/201.10 [6439]E(f315(f244(a1,a1),f40(x64391,x64392)),f38(a1,x64391,x64392))+~P107(f315(f315(f223(a1),f2(a1)),x64392))+~P107(f315(f315(f224(a1),f2(a1)),x64391))
% 201.32/201.10 [6455]~P82(x64551)+P107(f315(f315(f223(x64551),x64552),f2(x64551)))+~P107(f315(f315(f223(x64551),f2(x64551)),f315(f72(x64551),x64552)))
% 201.32/201.10 [6456]~P82(x64561)+P107(f315(f315(f224(x64561),x64562),f2(x64561)))+~P107(f315(f315(f224(x64561),f2(x64561)),f315(f72(x64561),x64562)))
% 201.32/201.10 [6482]P107(f315(f42(x64821,x64822),f43(x64821,x64822)))+~P107(f315(f315(f224(a1),x64821),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x64822))
% 201.32/201.10 [6496]~P107(f315(f315(f224(a893),f2(a893)),x64961))+~P107(f315(f315(f275(a893),x64962),x64961))+~P107(f315(f315(f224(a893),x64961),x64962))
% 201.32/201.10 [6509]P107(f315(f42(x65091,x65092),f40(x65091,x65092)))+~P107(f315(f315(f223(a1),f2(a1)),x65091))+~P107(f315(f315(f224(a1),f2(a1)),x65092))
% 201.32/201.10 [6552]~P82(x65521)+P107(f315(f315(f223(x65521),f315(f72(x65521),x65522)),f2(x65521)))+~P107(f315(f315(f223(x65521),f2(x65521)),x65522))
% 201.32/201.10 [6553]~P82(x65531)+P107(f315(f315(f224(x65531),f315(f72(x65531),x65532)),f2(x65531)))+~P107(f315(f315(f224(x65531),f2(x65531)),x65532))
% 201.32/201.10 [6573]E(f315(f315(f3(a893),f315(a93,x65731)),f315(a93,x65732)),f315(a93,f183(x65731,x65732)))+~P107(f315(f315(f223(a1),f2(a1)),x65732))+~P107(f315(f315(f223(a1),f2(a1)),x65731))
% 201.32/201.10 [6591]P107(f315(f315(f223(a1),f2(a1)),f183(x65911,x65912)))+~P107(f315(f315(f223(a1),f2(a1)),x65912))+~P107(f315(f315(f223(a1),f2(a1)),x65911))
% 201.32/201.10 [6628]~P107(f315(x66281,x66282))+P107(f315(x66281,f2(a893)))+P107(f315(x66281,f315(f315(f73(a893),f862(x66282,x66281)),f71(a893))))
% 201.32/201.10 [6713]E(f315(f92(a893),x67131),f315(f92(a893),x67132))+~P107(f315(f315(f223(a1),f315(f92(a1),x67132)),f2(a1)))+~P107(f315(a182,f315(f92(a1),x67131)))
% 201.32/201.10 [6727]~E(x67271,f2(a893))+~E(f652(x67272,x67271),f2(a893))+E(f315(f131(a893,a893,f73(a893),x67271),x67272),f2(a893))
% 201.32/201.10 [6751]~P107(f315(f54(x67511),f699(x67512,x67511)))+~P107(f315(f54(f901(x67511,a891)),x67512))+P107(f315(f54(x67511),f30(f901(x67511,a891),x67512)))
% 201.32/201.10 [6757]E(x67571,x67572)+P107(f315(f315(f224(a1),x67571),x67572))+~P107(f315(f315(f224(a1),x67571),f315(f315(f73(a1),x67572),f71(a1))))
% 201.32/201.10 [6758]P107(f315(f315(f223(a893),f315(a93,x67581)),f315(a93,x67582)))+~P107(f315(f315(f223(a1),f2(a1)),x67582))+~P107(f315(f315(f223(a1),x67581),x67582))
% 201.32/201.10 [6759]P107(f315(f315(f223(a893),f315(a93,x67591)),f315(a93,x67592)))+~P107(f315(f315(f224(a1),f2(a1)),x67591))+~P107(f315(f315(f223(a1),x67591),x67592))
% 201.32/201.10 [6761]P107(f315(f315(f224(a893),f315(a93,x67611)),f315(a93,x67612)))+~P107(f315(f315(f223(a1),f2(a1)),x67611))+~P107(f315(f315(f224(a1),x67611),x67612))
% 201.32/201.10 [6762]P107(f315(f315(f224(a893),f315(a93,x67621)),f315(a93,x67622)))+~P107(f315(f315(f224(a1),f2(a1)),x67622))+~P107(f315(f315(f224(a1),x67621),x67622))
% 201.32/201.10 [6773]E(f38(a893,f315(a93,x67731),f315(a93,x67732)),f315(a93,f38(a1,x67731,x67732)))+~P107(f315(f315(f223(a1),f2(a1)),x67732))+~P107(f315(f315(f223(a1),f2(a1)),x67731))
% 201.32/201.10 [6797]~P82(x67971)+~P107(f315(f315(f223(x67971),f315(f72(x67971),x67972)),f2(x67971)))+P107(f315(f315(f223(x67971),f2(x67971)),x67972))
% 201.32/201.10 [6798]~P82(x67981)+~P107(f315(f315(f224(x67981),f315(f72(x67981),x67982)),f2(x67981)))+P107(f315(f315(f224(x67981),f2(x67981)),x67982))
% 201.32/201.10 [6813]~P107(f315(f315(f224(a1),a76),x68132))+~P107(f315(f315(f224(a1),x68131),x68132))+P107(f315(f315(f224(a893),f315(f92(a893),x68131)),f315(f92(a893),x68132)))
% 201.32/201.10 [6907]~P107(f315(f315(f223(a1),f2(a1)),x69071))+P107(f315(f315(f224(a893),f315(a93,x69071)),x69072))+~P107(f315(f315(f224(a1),x69071),f315(f89(a1),x69072)))
% 201.32/201.10 [6912]P107(f315(x69121,x69122))+~P107(f315(x69121,f315(a22,f793(x69121,x69122))))+~P107(f315(f315(f317(a893),x69122),f230(f901(a893,a891))))
% 201.32/201.10 [6923]E(x69231,f2(a1))+E(f38(a1,x69232,x69231),f2(a1))+E(f315(f315(f3(a1),f315(f72(a1),f315(f315(f29(a1),x69232),x69231))),f71(a1)),f315(f315(f29(a1),x69232),f315(f72(a1),x69231)))
% 201.32/201.10 [6937]~P107(f315(f315(f223(a1),f2(a1)),x69371))+~P107(f315(f315(f224(a893),f315(a93,x69371)),x69372))+P107(f315(f315(f224(a1),x69371),f315(f89(a1),x69372)))
% 201.32/201.10 [6973]~P107(f315(f315(f223(a893),f315(a93,x69731)),f315(a93,x69732)))+~P107(f315(f315(f223(a1),f2(a1)),x69732))+P107(f315(f315(f223(a1),x69731),x69732))
% 201.32/201.10 [6974]~P107(f315(f315(f223(a893),f315(a93,x69741)),f315(a93,x69742)))+~P107(f315(f315(f224(a1),f2(a1)),x69741))+P107(f315(f315(f223(a1),x69741),x69742))
% 201.32/201.10 [7004]P107(f315(f315(f223(a1),x70041),x70042))+~P107(f315(f315(f223(a893),f315(f92(a893),x70041)),f315(f92(a893),x70042)))+P107(f315(f315(f223(a1),x70041),a76))
% 201.32/201.10 [7030]P107(f315(f315(f223(a1),f2(a1)),f38(a1,x70301,x70302)))+~P107(f315(f315(f223(a1),f2(a1)),x70302))+~P107(f315(f315(f223(a1),f2(a1)),x70301))
% 201.32/201.10 [7130]P107(f315(f315(f224(a1),a76),x71301))+~P107(f315(f315(f224(a1),x71302),x71301))+~P107(f315(f315(f224(a893),f315(f92(a893),x71302)),f315(f92(a893),x71301)))
% 201.32/201.10 [7184]E(f315(f315(f240(a1,a1),f315(f315(f29(a1),x71841),x71842)),f38(a1,x71841,x71842)),f43(x71841,x71842))+~P107(f315(f315(f224(a1),x71841),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x71842))
% 201.32/201.10 [7204]E(f315(f315(f240(a1,a1),f315(f315(f29(a1),x72041),x72042)),f38(a1,x72041,x72042)),f40(x72041,x72042))+~P107(f315(f315(f223(a1),f2(a1)),x72042))+~P107(f315(f315(f223(a1),f2(a1)),x72041))
% 201.32/201.10 [7258]~P99(x72582)+E(x72581,f102(x72582))+E(f315(f131(x72582,x72582,f74(x72582),f315(f130(x72582),x72581)),f315(f160(x72582),x72581)),f315(f56(x72582,f74(x72582)),f315(f161(x72582),x72581)))
% 201.32/201.10 [7375]~E(x73751,f2(a893))+E(f315(f131(a893,a893,f73(a893),x73751),x73752),f2(a893))+P107(f315(f315(f317(a893),f652(x73752,x73751)),f315(f161(a893),x73752)))
% 201.32/201.10 [7428]~P107(f315(f315(f223(a1),x74281),f2(a1)))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x74281),x74282)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x74282))
% 201.32/201.10 [7429]~P107(f315(f315(f224(a1),x74292),f2(a1)))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x74291),x74292)),f2(a1)))+~P107(f315(f315(f223(a1),f2(a1)),x74291))
% 201.32/201.10 [7430]~P107(f315(f315(f224(a1),x74302),f2(a1)))+P107(f315(f315(f224(a1),f315(f315(f29(a1),x74301),x74302)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x74301))
% 201.32/201.10 [7432]~P107(f315(f315(f224(a1),x74321),f2(a1)))+P107(f315(f315(f224(a1),f315(f315(f29(a1),x74321),x74322)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x74322))
% 201.32/201.10 [7439]P107(f315(f315(f317(f901(x74391,a891)),f699(x74392,x74391)),x74392))+~P107(f315(f54(f901(x74391,a891)),x74392))+P107(f315(f54(x74391),f30(f901(x74391,a891),x74392)))
% 201.32/201.10 [7529]P26(x75291,x75291,x75292,f230(f901(x75291,a891)))+~E(f315(f298(x75291,x75291,x75292),f230(f901(x75291,a891))),f230(f901(x75291,a891)))+~P107(f315(f54(x75291),f230(f901(x75291,a891))))
% 201.32/201.10 [7650]~P26(x76501,x76501,x76502,f230(f901(x76501,a891)))+E(f315(f298(x76501,x76501,x76502),f230(f901(x76501,a891))),f230(f901(x76501,a891)))+~P107(f315(f54(x76501),f230(f901(x76501,a891))))
% 201.32/201.10 [7790]E(f315(f315(f29(a1),x77901),x77902),f315(f92(a1),a86))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x77901),x77902)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x77901))
% 201.32/201.10 [7847]~P107(f315(f315(f224(a1),x78472),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f29(a1),x78471),x78472)),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x78471))
% 201.32/201.10 [7852]E(f315(f315(f73(a1),x78521),x78522),f38(a1,x78521,x78522))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),x78521),x78522)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x78521))
% 201.32/201.10 [7855]P107(f315(f315(f224(a1),x78551),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f29(a1),x78551),x78552)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x78552))
% 201.32/201.10 [8550]~P110(x85501)+P13(x85501,x85502)+~P107(f315(f315(f223(x85501),f315(f315(f153(x85501),x85502),f686(x85502,x85501))),f315(f315(f153(x85501),x85502),f687(x85502,x85501))))
% 201.32/201.10 [8551]~P110(x85511)+P13(x85511,x85512)+~P107(f315(f315(f223(x85511),f315(f315(f153(x85511),x85512),f694(x85512,x85511))),f315(f315(f153(x85511),x85512),f698(x85512,x85511))))
% 201.32/201.10 [5752]E(x57521,f2(a1))+~E(f38(a1,x57522,x57521),f2(a1))+E(f315(f315(f29(a1),x57522),f315(f72(a1),x57521)),f315(f72(a1),f315(f315(f29(a1),x57522),x57521)))
% 201.32/201.10 [5770]~P42(x57702)+~P42(x57701)+P42(f315(f315(f99(f901(a1,a891)),x57701),x57702))
% 201.32/201.10 [5771]~P42(x57712)+~P42(x57711)+P42(f315(f315(f90(f901(a1,a891)),x57711),x57712))
% 201.32/201.10 [5789]~P65(x57891)+~P97(x57891)+E(f315(f72(x57891),f315(f315(f279(x57891),f71(x57891)),x57892)),f315(f315(f279(x57891),f315(f92(x57891),a86)),x57892))
% 201.32/201.10 [5916]E(x59161,f2(a1))+~E(f38(a1,x59162,x59161),f2(a1))+E(f315(f315(f29(a1),f315(f72(a1),x59162)),x59161),f315(f72(a1),f315(f315(f29(a1),x59162),x59161)))
% 201.32/201.10 [6057]~P110(x60571)+P13(x60571,x60572)+P107(f315(f315(f224(a893),f687(x60572,x60571)),f315(f178(f894(x60571)),x60572)))
% 201.32/201.10 [6058]~P110(x60581)+P13(x60581,x60582)+P107(f315(f315(f224(a893),f698(x60582,x60581)),f315(f178(f894(x60581)),x60582)))
% 201.32/201.10 [6221]~P97(x62211)+~E(f315(f92(x62211),x62212),f2(x62211))+P29(x62211,f315(f92(x62211),f315(f315(f73(a1),x62212),f315(f72(a1),a76))))
% 201.32/201.10 [6222]~P97(x62221)+~E(f315(f92(x62221),x62222),f2(x62221))+P29(x62221,f315(f92(x62221),f315(f315(f73(a1),a76),f315(f72(a1),x62222))))
% 201.32/201.10 [6224]E(f315(a44,f40(f315(f72(a1),x62241),f315(f72(a1),x62242))),f39(x62241,x62242))+P107(f315(f315(f223(a1),f2(a1)),x62241))+P107(f315(f315(f224(a1),f2(a1)),x62242))
% 201.32/201.10 [6353]~E(x63532,f2(a893))+~E(x63531,f2(a893))+P107(f315(f315(f223(a1),f315(f89(a1),x63531)),f315(f72(a1),f315(f89(a1),x63532))))
% 201.32/201.10 [6382]E(f315(f315(f73(a893),f315(f92(a893),x63821)),f315(f92(a893),x63822)),f315(f92(a893),f315(f315(f73(a1),x63821),x63822)))+P107(f315(f315(f224(a1),x63821),a76))+P107(f315(f315(f224(a1),x63822),a76))
% 201.32/201.10 [6518]~P78(x65181)+~P107(f315(f315(f223(x65181),f2(x65181)),x65182))+P107(f315(f315(f223(x65181),f315(f72(x65181),x65182)),x65182))
% 201.32/201.10 [6519]~P78(x65191)+~P107(f315(f315(f224(x65191),f2(x65191)),x65192))+P107(f315(f315(f224(x65191),f315(f72(x65191),x65192)),x65192))
% 201.32/201.10 [6699]E(f315(f315(f3(a893),f315(a93,x66991)),f315(a93,x66992)),f315(a93,f315(f315(f3(a1),x66991),x66992)))+~P107(f315(f315(f223(a1),f2(a1)),x66992))+~P107(f315(f315(f223(a1),x66992),x66991))
% 201.32/201.10 [6735]E(f315(a93,f38(a1,f315(f92(a1),x67351),f315(f92(a1),x67352))),f38(a893,f315(f92(a893),x67351),f315(f92(a893),x67352)))+P107(f315(a182,f315(f92(a1),x67351)))+P107(f315(a182,f315(f92(a1),x67352)))
% 201.32/201.10 [6752]~P78(x67521)+P107(f315(f315(f223(x67521),f2(x67521)),x67522))+~P107(f315(f315(f223(x67521),f315(f72(x67521),x67522)),x67522))
% 201.32/201.10 [6753]~P78(x67531)+P107(f315(f315(f224(x67531),f2(x67531)),x67532))+~P107(f315(f315(f224(x67531),f315(f72(x67531),x67532)),x67532))
% 201.32/201.10 [6765]~P78(x67651)+~P107(f315(f315(f223(x67651),f2(x67651)),x67652))+P107(f315(f315(f223(x67651),f2(x67651)),f315(f315(f73(x67651),x67652),x67652)))
% 201.32/201.10 [6767]~P78(x67671)+~P107(f315(f315(f224(x67671),f2(x67671)),x67672))+P107(f315(f315(f224(x67671),f2(x67671)),f315(f315(f73(x67671),x67672),x67672)))
% 201.32/201.10 [6779]E(f315(f315(f73(a893),f315(a93,x67791)),f315(a93,x67792)),f315(a93,f315(f315(f73(a1),x67791),x67792)))+~P107(f315(f315(f223(a1),f2(a1)),x67792))+~P107(f315(f315(f223(a1),f2(a1)),x67791))
% 201.32/201.10 [6790]E(x67901,f2(a893))+P107(f315(f315(f224(a893),f2(a893)),x67902))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f232(a893),x67902),x67901)))
% 201.32/201.10 [6825]~P97(x68251)+E(f315(f92(x68251),x68252),f2(x68251))+~P29(x68251,f315(f92(x68251),f315(f315(f73(a1),a76),f315(f72(a1),x68252))))
% 201.32/201.10 [6826]~P97(x68261)+E(f315(f92(x68261),x68262),f2(x68261))+~P29(x68261,f315(f92(x68261),f315(f315(f73(a1),x68262),f315(f72(a1),a76))))
% 201.32/201.10 [6885]~P107(f315(f54(x68851),x68852))+~P107(f315(f54(x68851),f230(f901(x68851,a891))))+P107(f315(f54(x68851),f315(f72(f901(x68851,a891)),x68852)))
% 201.32/201.10 [6908]~P107(f315(f315(f224(a1),f2(a1)),x69082))+~P107(f315(f315(f223(a1),x69082),x69081))+P107(f315(f315(f224(a1),f2(a1)),f315(f315(f29(a1),x69081),x69082)))
% 201.32/201.10 [6909]~P107(f315(f315(f223(a1),x69091),f2(a1)))+~P107(f315(f315(f224(a1),x69092),f2(a1)))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f29(a1),x69091),x69092)))
% 201.32/201.10 [6947]~P107(f315(f315(f223(a1),f2(a1)),x69472))+~P107(f315(f315(f223(a1),f2(a1)),x69471))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f74(a1),x69471),x69472)))
% 201.32/201.10 [6948]~P107(f315(f315(f223(a1),f2(a1)),x69482))+~P107(f315(f315(f223(a1),f2(a1)),x69481))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),x69481),x69482)))
% 201.32/201.10 [6949]~P107(f315(f315(f223(a1),f2(a1)),x69492))+~P107(f315(f315(f223(a1),f2(a1)),x69491))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f29(a1),x69491),x69492)))
% 201.32/201.10 [6950]~P107(f315(f315(f223(a1),f2(a1)),x69501))+~P107(f315(f315(f224(a1),f2(a1)),x69502))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f29(a1),x69501),x69502)))
% 201.32/201.10 [6951]~P107(f315(f315(f224(a893),f2(a893)),x69512))+~P107(f315(f315(f224(a893),f2(a893)),x69511))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f74(a893),x69511),x69512)))
% 201.32/201.10 [7017]E(x70171,f2(a1))+E(f38(a1,x70172,x70171),f2(a1))+E(f315(f315(f3(a1),f315(f72(a1),f315(f315(f29(a1),x70172),x70171))),f71(a1)),f315(f315(f29(a1),f315(f72(a1),x70172)),x70171))
% 201.32/201.10 [7075]P107(f315(f315(f224(a893),f2(a893)),x70751))+P107(f315(f315(f224(a893),f2(a893)),x70752))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f73(a893),x70752),x70751)))
% 201.32/201.10 [7079]~P78(x70791)+P107(f315(f315(f223(x70791),f2(x70791)),x70792))+~P107(f315(f315(f223(x70791),f2(x70791)),f315(f315(f73(x70791),x70792),x70792)))
% 201.32/201.10 [7080]~P78(x70801)+P107(f315(f315(f224(x70801),f2(x70801)),x70802))+~P107(f315(f315(f224(x70801),f2(x70801)),f315(f315(f73(x70801),x70802),x70802)))
% 201.32/201.10 [7131]~P107(f315(f54(x71311),x71312))+P107(f315(f54(x71311),f230(f901(x71311,a891))))+~P107(f315(f54(x71311),f315(f72(f901(x71311,a891)),x71312)))
% 201.32/201.10 [7196]P107(f315(f315(f223(a1),x71961),f2(a1)))+~P107(f315(f315(f224(a1),x71962),f2(a1)))+~P107(f315(f315(f223(a1),f2(a1)),f315(f315(f29(a1),x71961),x71962)))
% 201.32/201.10 [7202]~P107(f315(f315(f224(a1),f2(a1)),x72021))+P107(f315(f315(f223(a1),x72021),x72022))+~P107(f315(f315(f224(a1),f2(a1)),f315(f315(f29(a1),x72022),x72021)))
% 201.32/201.10 [7203]~P107(f315(f315(f223(a1),f2(a1)),x72032))+P107(f315(f315(f223(a1),x72031),x72032))+~P107(f315(f315(f224(a1),f2(a1)),f315(f315(f29(a1),x72032),x72031)))
% 201.32/201.10 [7233]P107(f315(f315(f223(a1),f2(a1)),x72331))+~P107(f315(f315(f224(a1),f2(a1)),x72332))+~P107(f315(f315(f223(a1),f2(a1)),f315(f315(f29(a1),x72331),x72332)))
% 201.32/201.10 [7234]P107(f315(f315(f224(a1),f2(a1)),x72341))+~P107(f315(f315(f223(a1),f2(a1)),x72342))+~P107(f315(f315(f224(a1),f2(a1)),f315(f315(f29(a1),x72342),x72341)))
% 201.32/201.10 [7681]~P107(f315(f54(x76812),f230(f901(x76812,a891))))+~P107(f315(f54(x76811),f230(f901(x76811,a891))))+P107(f315(f54(f899(x76811,x76812)),f230(f901(f899(x76811,x76812),a891))))
% 201.32/201.10 [7682]~P107(f315(f54(x76822),f230(f901(x76822,a891))))+~P107(f315(f54(x76821),f230(f901(x76821,a891))))+P107(f315(f54(f900(x76821,x76822)),f230(f901(f900(x76821,x76822),a891))))
% 201.32/201.10 [7754]~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x77541))+~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x77542))+P107(f315(f315(f224(a893),x77541),f315(f315(f74(a893),x77542),x77541)))
% 201.32/201.10 [7755]~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x77551))+~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x77552))+P107(f315(f315(f224(a893),x77551),f315(f315(f74(a893),x77551),x77552)))
% 201.32/201.10 [7789]E(f315(f28(x77891),f230(f901(x77891,a891))),f315(a101,f2(a893)))+P107(f315(f54(x77892),f230(f901(x77892,a891))))+~P107(f315(f54(f901(x77892,x77891)),f230(f901(f901(x77892,x77891),a891))))
% 201.32/201.10 [7916]~P107(f315(f315(f223(a893),f315(a101,f2(a893))),x79161))+~P107(f315(f315(f223(a893),f315(a101,f2(a893))),x79162))+P107(f315(f315(f223(a893),f315(a101,f2(a893))),f315(f315(f74(a893),x79161),x79162)))
% 201.32/201.10 [7917]~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x79172))+~P107(f315(f315(f224(a893),f315(a101,f2(a893))),x79171))+P107(f315(f315(f224(a893),f315(a101,f2(a893))),f315(f315(f74(a893),x79171),x79172)))
% 201.32/201.10 [8597]E(x85971,f102(x85972))+~P107(f315(f126(x85972),x85971))+E(f166(x85972,f315(f315(f10(a891,a891,x85972),a310),f315(f315(f9(x85972,x85972,a891),a312),f133(x85972,x85971))),x85971),f103(x85972,x85971))
% 201.32/201.10 [8692]~P42(x86922)+~P42(x86921)+E(f315(f298(a893,a1,f89(a1)),f315(f315(f99(f901(a893,a891)),f315(f298(a1,a893,a93),x86921)),f315(f298(a1,a893,a93),x86922))),f315(f315(f99(f901(a1,a891)),x86921),x86922))
% 201.32/201.10 [8693]~P42(x86932)+~P42(x86931)+E(f315(f298(a893,a1,f89(a1)),f315(f315(f90(f901(a893,a891)),f315(f298(a1,a893,a93),x86931)),f315(f298(a1,a893,a93),x86932))),f315(f315(f90(f901(a1,a891)),x86931),x86932))
% 201.32/201.10 [9360]~P97(x93601)+~E(f315(f92(x93601),x93602),f71(x93601))+P29(x93601,f315(f92(x93601),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f72(a1),x93602))))
% 201.32/201.10 [9612]~P97(x96121)+E(f315(f92(x96121),x96122),f71(x96121))+~P29(x96121,f315(f92(x96121),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f72(a1),x96122))))
% 201.32/201.10 [10368]E(x103681,f2(a1))+E(x103682,f2(a1))+E(f315(f246(a1,a1,a1,a1,f25(a1),f315(f74(a1),f75(a1,x103682))),f315(f315(f315(f85(f900(a1,a1)),f315(f315(a312,f75(a1,x103681)),f75(a1,x103682))),f46(x103681,x103682)),f315(f315(f245(a1,a1,f900(a1,a1)),f315(f315(f20(a1,f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f901(f900(a1,a1),f900(a1,a1))),f901(f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),a1),f20(a1,f900(a1,a1),f900(a1,a1))),f315(f315(f10(f900(a1,a1),f901(a1,f901(f900(a1,a1),f900(a1,a1))),a1),f315(f9(a1,f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),f315(f315(f10(a891,f901(f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),a1),f85(f900(a1,a1))),f315(f315(f9(a1,a1,a891),a312),f2(a1))))),f315(f315(f9(a1,a1,f900(a1,a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f72(a1))),f2(a1))))),f315(f315(f9(a1,f901(a1,a1),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f900(a1,a1)),f901(f901(a1,a1),f901(a1,f900(a1,a1))),a1),f10(a1,f900(a1,a1),a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f315(f315(f9(a1,a1,a1),f315(f315(f10(a1,f901(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f315(f3(a1),f315(f69(a1),x103682))))),f46(x103681,x103682)))),f39(x103681,x103682))
% 201.32/201.10 [10369]E(x103691,f2(a1))+E(x103692,f2(a1))+E(f315(f246(a1,a1,a1,a1,f25(a1),f315(f74(a1),f75(a1,x103692))),f315(f315(f315(f85(f900(a1,a1)),f315(f315(a314,f315(f315(a313,f315(f315(f224(a1),f2(a1)),x103692)),f315(f315(f223(a1),f2(a1)),x103691))),f315(f315(a313,f315(f315(f224(a1),x103692),f2(a1))),f315(f315(f224(a1),x103691),f2(a1))))),f46(x103691,x103692)),f315(f315(f245(a1,a1,f900(a1,a1)),f315(f315(f20(a1,f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f901(f900(a1,a1),f900(a1,a1))),f901(f901(a1,f900(a1,a1)),f901(a1,f900(a1,a1))),a1),f20(a1,f900(a1,a1),f900(a1,a1))),f315(f315(f10(f900(a1,a1),f901(a1,f901(f900(a1,a1),f900(a1,a1))),a1),f315(f9(a1,f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),f315(f315(f10(a891,f901(f900(a1,a1),f901(f900(a1,a1),f900(a1,a1))),a1),f85(f900(a1,a1))),f315(f315(f9(a1,a1,a891),a312),f2(a1))))),f315(f315(f9(a1,a1,f900(a1,a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f72(a1))),f2(a1))))),f315(f315(f9(a1,f901(a1,a1),f901(a1,f900(a1,a1))),f315(f315(f10(f901(a1,f900(a1,a1)),f901(f901(a1,a1),f901(a1,f900(a1,a1))),a1),f10(a1,f900(a1,a1),a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f315(f315(f9(a1,a1,a1),f315(f315(f10(a1,f901(a1,a1),a1),f3(a1)),f72(a1))),f71(a1))))),f315(f3(a1),f315(f69(a1),x103692))))),f46(x103691,x103692)))),f39(x103691,x103692))
% 201.32/201.10 [5778]~P120(x57781)+~P97(x57781)+E(f315(f69(x57781),f315(f315(f232(x57781),f315(f92(x57781),a86)),x57782)),f71(x57781))
% 201.32/201.10 [6293]~P144(x62931)+~P107(f315(f315(f224(a1),x62932),f2(a1)))+E(f315(f72(x62931),f315(f89(x62931),f315(a93,f315(f72(a1),x62932)))),f315(f91(x62931),x62932))
% 201.32/201.10 [6502]P107(f315(f315(f223(a88),x65021),f71(a88)))+E(f315(f315(f73(a88),f71(a88)),f260(x65021,f315(f315(f29(a88),x65022),x65021))),f260(x65021,x65022))+P107(f315(f315(f224(a88),x65022),x65021))
% 201.32/201.10 [7120]~P95(x71201)+~P107(f315(f315(f317(x71201),x71202),f98(x71201)))+~E(f315(f315(f73(x71201),f315(f315(f73(x71201),f71(x71201)),x71202)),x71202),f2(x71201))
% 201.32/201.10 [7235]~P107(f315(f315(f223(a1),x72352),f2(a1)))+~P107(f315(f315(f224(a1),x72351),f2(a1)))+E(f315(f239(a1,a1),f315(a44,f40(f315(f72(a1),x72351),f315(f72(a1),x72352)))),f315(f315(f29(a1),x72351),x72352))
% 201.32/201.10 [7252]~P107(f315(f315(f223(a1),x72522),f2(a1)))+~P107(f315(f315(f224(a1),x72521),f2(a1)))+E(f315(f244(a1,a1),f315(a44,f40(f315(f72(a1),x72521),f315(f72(a1),x72522)))),f38(a1,x72521,x72522))
% 201.32/201.10 [7260]~P107(f315(f315(f224(a1),x72602),f2(a1)))+E(f315(f239(a1,a1),f315(a44,f43(f315(f72(a1),x72601),f315(f72(a1),x72602)))),f315(f315(f29(a1),x72601),x72602))+~P107(f315(f315(f224(a1),f2(a1)),x72601))
% 201.32/201.10 [7278]~P107(f315(f315(f224(a1),x72782),f2(a1)))+E(f315(f244(a1,a1),f315(a44,f43(f315(f72(a1),x72781),f315(f72(a1),x72782)))),f38(a1,x72781,x72782))+~P107(f315(f315(f224(a1),f2(a1)),x72781))
% 201.32/201.10 [7331]E(f315(f315(f29(a1),f315(f315(f232(a1),x73311),x73312)),x73311),f315(f315(f232(a1),x73311),f315(f315(f3(a893),x73312),f315(a101,f2(a893)))))+~P107(f315(f315(f224(a893),f2(a893)),x73312))+~P107(f315(f315(f224(a1),f2(a1)),x73311))
% 201.32/201.10 [7435]~P107(f315(f315(f224(a893),f2(a893)),x74351))+~P107(f315(f315(f224(a893),f2(a893)),x74352))+P107(f315(f315(f224(a893),f315(f315(f3(a893),x74351),x74352)),x74351))
% 201.32/201.10 [7436]~P107(f315(f315(f224(a893),f2(a893)),x74361))+~P107(f315(f315(f224(a893),f71(a893)),x74362))+P107(f315(f315(f224(a893),f315(f315(f29(a893),x74361),x74362)),x74361))
% 201.32/201.10 [7437]~P107(f315(f315(f224(a1),f2(a1)),x74371))+~P107(f315(f315(f224(a1),f71(a1)),x74372))+P107(f315(f315(f224(a1),f315(f315(f29(a1),x74371),x74372)),x74371))
% 201.32/201.10 [7575]E(x75751,f2(a893))+~E(x75752,f2(a1))+~P107(f315(f315(f224(a1),f2(a1)),f315(f315(f232(a1),f315(f69(a1),x75752)),x75751)))
% 201.32/201.10 [7995]~E(x79952,f102(f894(x79951)))+E(f315(f178(f894(f894(x79951))),f168(x79951,x79952)),f2(a893))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x79951),a893),f178(f894(x79951))),x79952)))
% 201.32/201.10 [8248]P107(f315(x82481,x82482))+~P107(f315(x82481,f315(a96,f513(x82481,x82482))))+~P107(f315(f315(f317(f901(f900(a893,a893),a891)),x82482),a87))
% 201.32/201.10 [8264]E(x82641,f102(f894(x82642)))+E(f315(f178(f894(x82642)),f315(f315(f153(f894(x82642)),x82641),f2(a893))),f315(f178(f894(f894(x82642))),f168(x82642,x82641)))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x82642),a893),f178(f894(x82642))),x82641)))
% 201.32/201.10 [8404]~P40(x84041,x84042)+~P41(x84041,x84042)+P40(x84041,f315(f315(f3(f901(f900(x84041,x84041),a891)),x84042),f295(x84041,f177(f901(f900(x84041,x84041),a891)))))
% 201.32/201.10 [8978]~P107(f315(f54(x89781),f315(f250(x89781),x89782)))+~P107(f315(f54(x89781),f230(f901(x89781,a891))))+P107(f315(f54(x89781),f315(f250(x89781),f315(f315(f10(a891,a891,x89781),a310),x89782))))
% 201.32/201.10 [9042]E(f315(f315(f240(a893,a893),f315(a101,f315(f315(f29(a893),f315(f315(f3(a893),x90421),x90422)),x90422))),f38(a893,f315(f315(f3(a893),x90421),x90422),x90422)),f78(f900(a893,a893),f41(x90421,x90422)))+~P107(f315(f315(f224(a893),f2(a893)),x90422))+~P107(f315(f315(f223(a893),x90422),x90421))
% 201.32/201.10 [9325]~P107(f315(f54(x93251),f315(f250(x93251),x93252)))+P107(f315(f54(x93251),f230(f901(x93251,a891))))+~P107(f315(f54(x93251),f315(f250(x93251),f315(f315(f10(a891,a891,x93251),a310),x93252))))
% 201.32/201.10 [10050]P28(x100501,x100502)+~P39(x100501,f315(f239(f901(f900(x100501,x100501),a891),f901(f900(x100501,x100501),a891)),x100502))+~P107(f315(f315(f223(f901(f900(x100501,x100501),a891)),f315(f315(f277(x100501,x100501,x100501),f315(f239(f901(f900(x100501,x100501),a891),f901(f900(x100501,x100501),a891)),x100502)),f315(f244(f901(f900(x100501,x100501),a891),f901(f900(x100501,x100501),a891)),x100502))),f315(f239(f901(f900(x100501,x100501),a891),f901(f900(x100501,x100501),a891)),x100502)))
% 201.32/201.10 [10146]~E(f288(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x101462,x101461),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x101462),x101461))+P107(f315(f315(f275(a893),x101461),x101462))
% 201.32/201.10 [10147]~E(f285(a893,f275(a893),f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x101472,x101471),f177(f901(a893,a891)))+~P107(f315(f315(f275(a893),x101472),x101471))+P107(f315(f315(f275(a893),x101471),x101472))
% 201.32/201.10 [7361]~P107(f315(f315(f224(a893),f2(a893)),x73612))+P107(f315(f315(f224(a893),x73611),x73612))+E(f315(a101,f315(f315(f29(a893),f315(f315(f3(a893),x73611),x73612)),x73612)),f315(f315(f29(a893),x73611),x73612))
% 201.32/201.10 [7502]~P107(f315(f315(f224(a893),f2(a893)),x75022))+~P107(f315(f315(f223(a893),x75022),x75021))+E(f315(a101,f315(f315(f29(a893),f315(f315(f3(a893),x75021),x75022)),x75022)),f315(f315(f29(a893),x75021),x75022))
% 201.32/201.10 [8468]~P97(x84681)+~P95(x84681)+~P29(x84681,f315(f92(x84681),f315(f315(f3(a1),f315(f315(f73(a1),x84682),x84682)),a86)))
% 201.32/201.10 [9231]E(x92311,f2(a893))+E(f315(f315(f245(a893,a893,f900(a893,a893)),f315(f315(f10(a893,f901(a893,f900(a893,a893)),a893),f240(a893,a893)),a101)),f78(f900(a893,a893),f41(f315(f315(f3(a893),x92312),x92311),x92311))),f78(f900(a893,a893),f41(x92312,x92311)))+P107(f315(f315(f224(a893),x92312),x92311))
% 201.32/201.10 [9414]~P40(x94141,x94142)+~P53(x94141,x94142)+P107(f315(f315(f223(f901(f900(x94141,x94141),a891)),f315(f315(f277(x94141,x94141,x94141),f315(f274(x94141,x94141),x94142)),x94142)),x94142))
% 201.32/201.10 [9676]P107(f315(x96762,f620(x96762,x96761)))+P107(f315(x96761,f620(x96762,x96761)))+E(f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96761)),f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96762)))
% 201.32/201.10 [9680]~P107(f315(x96802,f620(x96802,x96801)))+~P107(f315(x96801,f620(x96802,x96801)))+E(f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96801)),f315(f250(a1),f315(f315(f20(a1,a891,a891),f315(f315(f10(a891,f901(a891,a891),a1),a313),f315(f223(a1),f2(a1)))),x96802)))
% 201.32/201.10 [10229]~P107(f315(f315(f275(a893),x102292),x102291))+P107(f315(f315(f275(a893),x102291),x102292))+P107(f315(f315(f317(a893),x102291),f283(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102292)))
% 201.32/201.10 [10230]~P107(f315(f315(f275(a893),x102302),x102301))+P107(f315(f315(f275(a893),x102301),x102302))+P107(f315(f315(f317(a893),x102302),f286(a893,f315(f315(f20(a893,f901(a893,a891),f901(a893,a891)),f315(f315(f10(f901(a893,f901(a891,a891)),f901(f901(a893,a891),f901(a893,a891)),a893),f20(a893,a891,a891)),f315(f315(f10(f901(a893,a891),f901(a893,f901(a891,a891)),a893),f315(f10(a891,f901(a891,a891),a893),a313)),f275(a893)))),f315(f315(f10(f901(a893,a891),f901(a893,a891),a893),f315(f10(a891,a891,a893),a310)),f315(f9(a893,a893,a891),f275(a893)))),x102301)))
% 201.32/201.10 [7712]~P66(x77121)+~P97(x77121)+E(f315(f315(f279(x77121),x77122),f315(f92(x77121),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))),x77122)
% 201.32/201.10 [9359]~P97(x93591)+~E(f315(f92(x93591),x93592),f71(x93591))+P29(x93591,f315(f92(x93591),f315(f315(f73(a1),x93592),f315(f72(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.10 [9546]~P145(x95461)+~E(x95462,f71(x95461))+E(f315(f315(f232(x95461),x95462),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(x95461))
% 201.32/201.10 [9547]~P145(x95471)+~E(x95472,f2(x95471))+E(f315(f315(f232(x95471),x95472),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f2(x95471))
% 201.32/201.10 [9562]~P145(x95621)+~E(x95622,f315(f72(x95621),f71(x95621)))+E(f315(f315(f232(x95621),x95622),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(x95621))
% 201.32/201.10 [9613]~P97(x96131)+E(f315(f92(x96131),x96132),f71(x96131))+~P29(x96131,f315(f92(x96131),f315(f315(f73(a1),x96132),f315(f72(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.32/201.10 [9994]~P120(x99942)+E(x99941,f2(x99942))+P107(f315(f315(f224(x99942),f2(x99942)),f315(f315(f232(x99942),x99941),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.10 [10049]~P120(x100492)+~E(x100491,f2(x100492))+~P107(f315(f315(f224(x100492),f2(x100492)),f315(f315(f232(x100492),x100491),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.32/201.10 [10085]P107(f315(f315(f223(a1),x100851),f2(a1)))+P107(f315(f315(f224(a1),x100852),x100851))+E(f315(f36(x100851),f40(x100852,f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100851))),f40(x100852,x100851))
% 201.32/201.10 [10086]~P107(f315(f315(f224(a1),f2(a1)),x100861))+P107(f315(f315(f224(a1),x100862),x100861))+E(f315(f36(x100861),f40(x100862,f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100861))),f40(x100862,x100861))
% 201.32/201.10 [10087]P107(f315(f315(f223(a1),x100871),f2(a1)))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),x100872),x100871)))+E(f315(f36(x100871),f43(x100872,f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100871))),f43(x100872,x100871))
% 201.32/201.10 [10088]~P107(f315(f315(f224(a1),f2(a1)),x100881))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),x100882),x100881)))+E(f315(f36(x100881),f43(x100882,f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100881))),f43(x100882,x100881))
% 201.32/201.10 [10089]~P147(x100891)+~P107(f315(f315(f223(a1),f2(a1)),x100892))+E(f315(f89(x100891),f315(a93,f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x100892))),f315(f315(f73(x100891),f315(f89(x100891),f315(a93,x100892))),f315(f89(x100891),f315(a93,x100892))))
% 201.32/201.10 [5109]~P149(x51091,x51092,x51093)+~E(x51093,f2(a1))+P107(f315(x51091,x51092))
% 201.32/201.10 [5234]~P110(x52341)+~P13(x52341,x52343)+P13(x52341,f159(x52341,x52342,x52343))
% 201.32/201.10 [5235]~P110(x52351)+~P13(x52351,x52353)+P13(x52351,f166(x52351,x52352,x52353))
% 201.32/201.10 [4797]~P77(x47972)+~E(x47973,f315(f72(x47972),x47971))+E(x47971,f315(f72(x47972),x47973))
% 201.32/201.10 [4799]~P77(x47991)+~E(f315(f72(x47991),x47993),x47992)+E(f315(f72(x47991),x47992),x47993)
% 201.32/201.10 [4878]~P104(x48783)+E(x48781,x48782)+~E(f315(f89(x48783),x48781),f315(f89(x48783),x48782))
% 201.32/201.10 [4879]~P77(x48793)+E(x48791,x48792)+~E(f315(f72(x48793),x48791),f315(f72(x48793),x48792))
% 201.32/201.10 [4880]~P98(x48803)+E(x48801,x48802)+~E(f315(f72(x48803),x48801),f315(f72(x48803),x48802))
% 201.32/201.10 [4881]~P95(x48813)+E(x48811,x48812)+~E(f315(f91(x48813),x48811),f315(f91(x48813),x48812))
% 201.32/201.10 [4882]~P110(x48823)+E(x48821,x48822)+~E(f315(f270(x48823),x48821),f315(f270(x48823),x48822))
% 201.32/201.10 [4883]~P110(x48833)+E(x48831,x48832)+~E(f315(f289(x48833),x48831),f315(f289(x48833),x48832))
% 201.32/201.10 [4884]~P110(x48843)+E(x48841,x48842)+~E(f315(f292(x48843),x48841),f315(f292(x48843),x48842))
% 201.32/201.10 [4885]~P110(x48853)+E(x48851,x48852)+~E(f315(f271(x48853),x48851),f315(f271(x48853),x48852))
% 201.32/201.10 [4987]~P64(x49871)+~P107(f315(x49872,x49873))+P107(f315(f49(x49871),x49872))
% 201.32/201.10 [5027]~P64(x50273)+P107(f315(x50271,x50272))+~P107(f315(f50(x50273),x50271))
% 201.32/201.10 [5129]~P150(x51291,x51293,x51292)+~E(x51292,f2(a1))+P107(f315(x51291,f2(a1)))
% 201.32/201.10 [5169]~E(x51691,f2(a893))+E(f794(x51691,x51692,x51693),f177(f901(x51693,a891)))+~E(f315(f28(x51693),x51692),f315(a101,x51691))
% 201.32/201.10 [5319]~E(x53192,f2(a893))+E(f315(f239(a893,a893),x53191),f2(a893))+~P107(f315(f41(x53193,x53192),x53191))
% 201.32/201.10 [5358]P107(f315(x53581,x53582))+~E(x53583,f315(f89(a1),x53582))+~P107(f315(x53581,f315(a93,x53583)))
% 201.32/201.10 [5842]~E(x58423,f2(a893))+~P107(f315(x58421,x58422))+P107(f315(x58421,f38(a893,x58422,x58423)))
% 201.32/201.10 [6086]~P105(x60862)+~P105(x60861)+E(f120(x60861,x60862,f121(x60861,x60863),f121(x60862,x60863)),f121(f900(x60861,x60862),x60863))
% 201.32/201.10 [6274]~E(x62743,f2(a893))+P107(f315(x62741,x62742))+~P107(f315(x62741,f38(a893,x62742,x62743)))
% 201.32/201.10 [6972]E(x69721,f2(a893))+~P107(f315(x69722,f352(x69721,x69723,x69722)))+P107(f315(x69722,f38(a893,x69723,x69721)))
% 201.32/201.10 [7085]~P5(x70851)+~P107(f315(f315(f223(x70851),x70852),f363(x70853,x70852,x70851)))+P107(f315(f315(f223(x70851),x70852),f31(x70851,x70853)))
% 201.32/201.10 [7087]~P107(f315(x70871,x70872))+~P107(f315(x70871,f352(x70873,x70872,x70871)))+P107(f315(x70871,f38(a893,x70872,x70873)))
% 201.32/201.10 [7190]E(x71901,f102(x71902))+E(f315(f315(f140(x71902),f668(x71903,x71901,x71902)),f671(x71903,x71901,x71902)),x71901)+~P107(f315(f315(f317(f894(x71902)),x71901),f150(x71902,x71903)))
% 201.32/201.10 [7222]~P144(x72221)+~P107(f315(f315(f317(x72221),x72222),f98(x72221)))+P107(f315(f315(f317(x72221),f315(f315(f232(x72221),x72222),x72223)),f98(x72221)))
% 201.32/201.10 [7547]P39(x75471,x75472)+~P107(f315(f315(f317(x75471),x75473),f578(x75472,x75471)))+P107(f315(f315(f317(x75471),f592(x75472,x75471,x75473)),f578(x75472,x75471)))
% 201.32/201.10 [7817]E(x78171,f102(x78172))+~P107(f315(f315(f317(f894(x78172)),x78171),f150(x78172,x78173)))+P107(f315(f315(f317(f894(x78172)),f671(x78173,x78171,x78172)),f150(x78172,x78173)))
% 201.32/201.10 [7869]E(x78691,f2(a893))+E(f315(f315(f73(a893),f315(f315(f74(a893),x78691),f353(x78691,x78692,x78693))),f352(x78691,x78692,x78693)),x78692)+P107(f315(x78693,f38(a893,x78692,x78691)))
% 201.32/201.10 [7911]~P107(f315(x79113,x79112))+E(f315(f315(f73(a893),f315(f315(f74(a893),x79111),f353(x79111,x79112,x79113))),f352(x79111,x79112,x79113)),x79112)+P107(f315(x79113,f38(a893,x79112,x79111)))
% 201.32/201.10 [8051]P107(f315(f315(f224(a1),x80511),f337(x80512,x80513,x80511)))+P107(f315(f315(x80513,f315(f315(f29(a1),x80512),x80511)),f38(a1,x80512,x80511)))+~P107(f315(f315(f224(a1),x80511),f2(a1)))
% 201.32/201.10 [8319]P107(f315(f315(x83192,f315(f315(f29(a1),x83191),x83193)),f38(a1,x83191,x83193)))+~P107(f315(f315(f224(a1),x83193),f2(a1)))+P107(f315(f315(f223(a1),f337(x83191,x83192,x83193)),f2(a1)))
% 201.32/201.10 [8502]E(f315(f315(f73(a1),f315(f315(f74(a1),x85021),f338(x85022,x85023,x85021))),f337(x85022,x85023,x85021)),x85022)+P107(f315(f315(x85023,f315(f315(f29(a1),x85022),x85021)),f38(a1,x85022,x85021)))+~P107(f315(f315(f224(a1),x85021),f2(a1)))
% 201.32/201.10 [8741]~P107(f315(f315(x87411,f338(x87412,x87411,x87413)),f337(x87412,x87411,x87413)))+P107(f315(f315(x87411,f315(f315(f29(a1),x87412),x87413)),f38(a1,x87412,x87413)))+~P107(f315(f315(f224(a1),x87413),f2(a1)))
% 201.32/201.10 [8991]~P110(x89911)+~P13(x89911,x89913)+P13(x89911,f138(x89911,x89911,f7(x89911),x89912,x89913))
% 201.32/201.10 [9491]~P127(x94912)+E(x94911,f2(x94912))+~P107(f315(f315(f223(x94912),f315(f315(f73(x94912),f315(f315(f74(x94912),x94913),x94913)),f315(f315(f74(x94912),x94911),x94911))),f2(x94912)))
% 201.32/201.10 [9492]~P127(x94922)+E(x94921,f2(x94922))+~P107(f315(f315(f223(x94922),f315(f315(f73(x94922),f315(f315(f74(x94922),x94921),x94921)),f315(f315(f74(x94922),x94923),x94923))),f2(x94922)))
% 201.32/201.10 [10303]~P120(x103031)+~P107(f315(f315(f224(x103031),x103032),f2(x103031)))+P107(f315(f315(f224(x103031),f315(f315(f232(x103031),x103032),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x103033)))),f2(x103031)))
% 201.32/201.10 [10312]~P120(x103122)+E(x103121,f2(x103122))+~P107(f315(f315(f223(x103122),f315(f315(f73(x103122),f315(f315(f232(x103122),x103123),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x103122),x103121),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f2(x103122)))
% 201.32/201.10 [10313]~P120(x103132)+E(x103131,f2(x103132))+~P107(f315(f315(f223(x103132),f315(f315(f73(x103132),f315(f315(f232(x103132),x103131),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x103132),x103133),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f2(x103132)))
% 201.32/201.10 [4833]~E(x48332,x48333)+~P69(x48331)+E(f315(f315(f3(x48331),x48332),x48333),f2(x48331))
% 201.32/201.10 [4834]~E(x48342,x48343)+~P77(x48341)+E(f315(f315(f3(x48341),x48342),x48343),f2(x48341))
% 201.32/201.10 [4847]~P129(x48471)+~E(x48473,f2(x48471))+E(f315(f315(f73(x48471),x48472),x48473),x48472)
% 201.32/201.10 [4864]~P143(x48641)+~E(x48643,f2(x48641))+E(f315(f315(f74(x48641),x48642),x48643),f2(x48641))
% 201.32/201.10 [4865]~P143(x48651)+~E(x48652,f2(x48651))+E(f315(f315(f74(x48651),x48652),x48653),f2(x48651))
% 201.32/201.10 [4887]~E(x48873,f102(x48871))+~E(x48872,f102(x48871))+E(f315(f315(f123(x48871),x48872),x48873),f102(x48871))
% 201.32/201.10 [4977]~P129(x49772)+E(x49771,f2(x49772))+~E(f315(f315(f73(x49772),x49773),x49771),x49773)
% 201.32/201.10 [4978]~P77(x49781)+~E(x49782,f315(f72(x49781),x49783))+E(f315(f315(f73(x49781),x49782),x49783),f2(x49781))
% 201.32/201.10 [4985]E(x49851,f102(x49852))+E(x49853,f2(a893))+~E(f315(f315(f164(x49852),x49853),x49851),f102(x49852))
% 201.32/201.10 [4995]~P69(x49953)+E(x49951,x49952)+~E(f315(f315(f3(x49953),x49951),x49952),f2(x49953))
% 201.32/201.10 [4996]~P77(x49963)+E(x49961,x49962)+~E(f315(f315(f3(x49963),x49961),x49962),f2(x49963))
% 201.32/201.10 [5009]~P145(x50092)+E(x50091,f2(x50092))+~E(f315(f315(f232(x50092),x50091),x50093),f2(x50092))
% 201.32/201.10 [5010]~P81(x50102)+E(x50101,f177(x50102))+~E(f315(f315(f99(x50102),x50103),x50101),f177(x50102))
% 201.32/201.10 [5011]~P81(x50112)+E(x50111,f177(x50112))+~E(f315(f315(f99(x50112),x50111),x50113),f177(x50112))
% 201.32/201.10 [5012]~P102(x50122)+E(x50121,f230(x50122))+~E(f315(f315(f90(x50122),x50123),x50121),f230(x50122))
% 201.32/201.10 [5013]~P102(x50132)+E(x50131,f230(x50132))+~E(f315(f315(f90(x50132),x50131),x50133),f230(x50132))
% 201.32/201.10 [5083]~P77(x50832)+E(x50831,f315(f72(x50832),x50833))+~E(f315(f315(f73(x50832),x50831),x50833),f2(x50832))
% 201.32/201.10 [5084]~P77(x50841)+E(f315(f72(x50841),x50842),x50843)+~E(f315(f315(f73(x50841),x50842),x50843),f2(x50841))
% 201.32/201.10 [5086]~E(x50862,x50863)+~P108(x50861)+P107(f315(f315(f223(x50861),x50862),x50863))
% 201.32/201.10 [5088]~E(x50882,x50883)+~P111(x50881)+P107(f315(f315(f223(x50881),x50882),x50883))
% 201.32/201.10 [5187]~P122(x51871)+~E(x51872,f315(f72(x51871),x51873))+E(f315(f315(f74(x51871),x51872),x51872),f315(f315(f74(x51871),x51873),x51873))
% 201.32/201.10 [5195]~P110(x51951)+~P13(x51951,x51953)+P13(x51951,f315(f315(f164(x51951),x51952),x51953))
% 201.32/201.10 [5196]~P110(x51961)+~P13(x51961,x51963)+P13(x51961,f315(f315(f127(x51961),x51962),x51963))
% 201.32/201.10 [5232]E(x52321,x52322)+E(x52323,f2(a893))+~E(f315(f315(f74(a893),x52323),x52321),f315(f315(f74(a893),x52323),x52322))
% 201.32/201.10 [5233]E(x52331,x52332)+E(x52333,f2(a893))+~E(f315(f315(f74(a893),x52331),x52333),f315(f315(f74(a893),x52332),x52333))
% 201.32/201.10 [5312]~E(x53122,x53123)+~P111(x53121)+E(f291(x53121,x53122,x53123),f315(f315(f297(x53121),x53122),f177(f901(x53121,a891))))
% 201.32/201.10 [5347]~P120(x53471)+~E(f315(f69(x53471),x53472),f315(f69(x53471),x53473))+P107(f315(f315(f275(x53471),x53472),x53473))
% 201.32/201.10 [5355]~E(x53551,x53552)+~P110(x53553)+~P107(f315(f315(f224(x53553),x53551),x53552))
% 201.32/201.10 [5356]~E(x53561,x53562)+~P111(x53563)+~P107(f315(f315(f224(x53563),x53561),x53562))
% 201.32/201.10 [5369]~P111(x53691)+E(f315(f290(x53691,x53692),x53693),f177(f901(x53691,a891)))+P107(f315(f315(f224(x53691),x53692),x53693))
% 201.32/201.10 [5417]~P111(x54171)+E(f291(x54171,x54172,x54173),f177(f901(x54171,a891)))+P107(f315(f315(f223(x54171),x54172),x54173))
% 201.32/201.10 [5418]~P111(x54181)+E(f293(x54181,x54182,x54183),f177(f901(x54181,a891)))+P107(f315(f315(f224(x54181),x54182),x54183))
% 201.32/201.10 [5419]~P111(x54191)+E(f177(f901(x54191,a891)),f291(x54191,x54192,x54193))+P107(f315(f315(f223(x54191),x54192),x54193))
% 201.32/201.10 [5420]~P111(x54201)+E(f177(f901(x54201,a891)),f293(x54201,x54202,x54203))+P107(f315(f315(f224(x54201),x54202),x54203))
% 201.32/201.10 [5428]~P2(x54281)+~E(f315(f315(f99(x54281),x54282),x54283),x54283)+P107(f315(f315(f223(x54281),x54282),x54283))
% 201.32/201.10 [5429]~P103(x54291)+~E(f315(f315(f90(x54291),x54292),x54293),x54292)+P107(f315(f315(f223(x54291),x54292),x54293))
% 201.32/201.10 [5430]~P110(x54301)+~E(f315(f315(f221(x54301),x54302),x54303),x54302)+P107(f315(f315(f223(x54301),x54302),x54303))
% 201.32/201.10 [5431]~P110(x54311)+~E(f315(f315(f222(x54311),x54312),x54313),x54313)+P107(f315(f315(f223(x54311),x54312),x54313))
% 201.32/201.10 [5450]~P110(x54501)+P13(x54501,x54502)+~P13(x54501,f315(f315(f140(x54501),x54503),x54502))
% 201.32/201.10 [5451]~P110(x54511)+P13(x54511,x54512)+~P13(x54511,f315(f315(f123(x54511),x54513),x54512))
% 201.32/201.10 [5452]~P110(x54521)+P13(x54521,x54522)+~P13(x54521,f315(f315(f123(x54521),x54522),x54523))
% 201.32/201.10 [5457]~P62(x54571)+~E(f38(x54571,x54573,x54572),f2(x54571))+P107(f315(f315(f275(x54571),x54572),x54573))
% 201.32/201.10 [5519]~P110(x55191)+P107(f315(f315(f223(x55191),x55193),x55192))+P107(f315(f315(f223(x55191),x55192),x55193))
% 201.32/201.10 [5524]~P110(x55241)+P107(f315(f315(f224(x55241),x55243),x55242))+P107(f315(f315(f223(x55241),x55242),x55243))
% 201.32/201.10 [5562]~P2(x55621)+E(f315(f315(f99(x55621),x55622),x55623),x55622)+~P107(f315(f315(f223(x55621),x55623),x55622))
% 201.32/201.10 [5564]~P2(x55641)+E(f315(f315(f99(x55641),x55642),x55643),x55643)+~P107(f315(f315(f223(x55641),x55642),x55643))
% 201.32/201.10 [5565]~P103(x55651)+E(f315(f315(f90(x55651),x55652),x55653),x55653)+~P107(f315(f315(f223(x55651),x55653),x55652))
% 201.32/201.10 [5567]~P103(x55671)+E(f315(f315(f90(x55671),x55672),x55673),x55672)+~P107(f315(f315(f223(x55671),x55672),x55673))
% 201.32/201.10 [5568]~P110(x55681)+E(f315(f315(f221(x55681),x55682),x55683),x55683)+~P107(f315(f315(f223(x55681),x55683),x55682))
% 201.32/201.10 [5570]~P110(x55701)+E(f315(f315(f221(x55701),x55702),x55703),x55702)+~P107(f315(f315(f223(x55701),x55702),x55703))
% 201.32/201.10 [5571]~P110(x55711)+E(f315(f315(f222(x55711),x55712),x55713),x55712)+~P107(f315(f315(f223(x55711),x55713),x55712))
% 201.32/201.10 [5573]~P110(x55731)+E(f315(f315(f222(x55731),x55732),x55733),x55733)+~P107(f315(f315(f223(x55731),x55732),x55733))
% 201.32/201.10 [5580]~P124(x55802)+E(x55801,f2(x55802))+E(f315(f315(f279(x55802),f315(f72(x55802),x55803)),f315(f72(x55802),x55801)),f315(f315(f279(x55802),x55803),x55801))
% 201.32/201.10 [5587]~P62(x55871)+E(f38(x55871,x55872,x55873),f2(x55871))+~P107(f315(f315(f275(x55871),x55873),x55872))
% 201.32/201.10 [5634]~P111(x56341)+E(f315(f290(x56341,x56342),x56343),f177(f901(x56341,a891)))+~P107(f315(f315(f223(x56341),x56343),x56342))
% 201.32/201.10 [5667]~P111(x56671)+E(f291(x56671,x56672,x56673),f177(f901(x56671,a891)))+~P107(f315(f315(f224(x56671),x56673),x56672))
% 201.32/201.10 [5668]~P111(x56681)+E(f294(x56681,x56682,x56683),f177(f901(x56681,a891)))+~P107(f315(f315(f223(x56681),x56683),x56682))
% 201.32/201.10 [5669]~P111(x56691)+E(f293(x56691,x56692,x56693),f177(f901(x56691,a891)))+~P107(f315(f315(f223(x56691),x56693),x56692))
% 201.32/201.10 [5721]~E(f315(f315(f3(a893),x57211),x57213),x57212)+E(x57211,f315(f315(f73(a893),x57212),x57213))+~P107(f315(f315(f223(a893),x57213),x57211))
% 201.32/201.10 [5722]~E(x57221,f315(f315(f73(a893),x57223),x57222))+E(f315(f315(f3(a893),x57221),x57222),x57223)+~P107(f315(f315(f223(a893),x57222),x57221))
% 201.32/201.10 [5767]~P107(f315(x57671,x57673))+P107(f315(x57671,f388(x57671,x57672)))+~P107(f315(f315(f223(a893),x57673),x57672))
% 201.32/201.10 [5768]~P107(f315(x57681,x57683))+P107(f315(x57681,f433(x57681,x57682)))+~P107(f315(f315(f224(a893),x57683),x57682))
% 201.32/201.10 [5776]~P111(x57761)+~E(f315(f290(x57761,x57762),x57763),f177(f901(x57761,a891)))+~P107(f315(f315(f224(x57761),x57762),x57763))
% 201.32/201.10 [5781]~P108(x57811)+~P107(f315(f315(f224(x57811),x57812),x57813))+P107(f315(f315(f223(x57811),x57812),x57813))
% 201.32/201.10 [5783]~P111(x57831)+~P107(f315(f315(f224(x57831),x57832),x57833))+P107(f315(f315(f223(x57831),x57832),x57833))
% 201.32/201.10 [5901]~P111(x59011)+~E(f291(x59011,x59012,x59013),f177(f901(x59011,a891)))+~P107(f315(f315(f223(x59011),x59012),x59013))
% 201.32/201.10 [5902]~P111(x59021)+~E(f293(x59021,x59022,x59023),f177(f901(x59021,a891)))+~P107(f315(f315(f224(x59021),x59022),x59023))
% 201.32/201.10 [5903]~P111(x59031)+~E(f177(f901(x59031,a891)),f291(x59031,x59032,x59033))+~P107(f315(f315(f223(x59031),x59032),x59033))
% 201.32/201.10 [5904]~P111(x59041)+~E(f177(f901(x59041,a891)),f293(x59041,x59042,x59043))+~P107(f315(f315(f224(x59041),x59042),x59043))
% 201.32/201.10 [5914]P107(f315(x59141,x59142))+~P107(f315(x59141,f389(x59141,x59143)))+~P107(f315(f315(f223(a893),x59142),x59143))
% 201.32/201.10 [5915]P107(f315(x59151,x59152))+~P107(f315(x59151,f454(x59151,x59153)))+~P107(f315(f315(f224(a893),x59152),x59153))
% 201.32/201.10 [5923]~E(x59231,f315(a101,x59233))+P107(f315(f315(f224(a893),x59231),f315(a101,x59232)))+~P107(f315(f315(f224(a893),x59233),x59232))
% 201.32/201.10 [5942]E(x59421,x59422)+~E(f315(f315(f74(a893),x59423),x59421),f315(f315(f74(a893),x59423),x59422))+~P107(f315(f315(f224(a893),f2(a893)),x59423))
% 201.32/201.10 [6002]E(f315(x60021,f849(x60021,x60022,x60023)),f71(a893))+~E(f315(f315(f8(x60023,a893),x60021),x60022),f71(a893))+~P107(f315(f54(x60023),x60022))
% 201.32/201.10 [6019]~P5(x60191)+P107(f315(f315(f223(x60191),x60192),f30(x60191,x60193)))+~P107(f315(f315(f317(x60191),x60192),x60193))
% 201.32/201.10 [6042]~P108(x60421)+~P107(f315(f315(f224(x60421),x60423),x60422))+~P107(f315(f315(f223(x60421),x60422),x60423))
% 201.32/201.10 [6046]~P108(x60461)+~P107(f315(f315(f224(x60461),x60463),x60462))+~P107(f315(f315(f224(x60461),x60462),x60463))
% 201.32/201.10 [6049]~P110(x60491)+~P107(f315(f315(f224(x60491),x60493),x60492))+~P107(f315(f315(f223(x60491),x60492),x60493))
% 201.32/201.10 [6050]~P110(x60501)+~P107(f315(f315(f224(x60501),x60503),x60502))+~P107(f315(f315(f224(x60501),x60502),x60503))
% 201.32/201.10 [6051]~P111(x60511)+~P107(f315(f315(f224(x60511),x60513),x60512))+~P107(f315(f315(f224(x60511),x60512),x60513))
% 201.32/201.10 [6071]~E(x60712,x60713)+~E(x60711,x60712)+E(f278(a893,f275(a893),x60711,x60712),f315(f315(f297(a893),x60713),f177(f901(a893,a891))))
% 201.32/201.10 [6078]~E(f315(x60782,f806(x60782,x60783,x60781)),f2(a893))+E(f315(f315(f8(x60781,a893),x60782),x60783),f2(a893))+~P107(f315(f54(x60781),x60783))
% 201.32/201.10 [6079]~E(f315(x60792,f841(x60792,x60793,x60791)),f71(a893))+E(f315(f315(f11(x60791,a893),x60792),x60793),f71(a893))+~P107(f315(f54(x60791),x60793))
% 201.32/201.10 [6095]~P109(x60951)+~P107(f315(f315(f224(x60951),x60953),x60952))+P107(f315(f315(f317(x60951),x60952),f315(f292(x60951),x60953)))
% 201.32/201.10 [6096]~P109(x60961)+~P107(f315(f315(f223(x60961),x60963),x60962))+P107(f315(f315(f317(x60961),x60962),f315(f271(x60961),x60963)))
% 201.32/201.10 [6097]~P109(x60971)+~P107(f315(f315(f224(x60971),x60972),x60973))+P107(f315(f315(f317(x60971),x60972),f315(f270(x60971),x60973)))
% 201.32/201.10 [6098]~P109(x60981)+~P107(f315(f315(f223(x60981),x60982),x60983))+P107(f315(f315(f317(x60981),x60982),f315(f289(x60981),x60983)))
% 201.32/201.10 [6099]~P120(x60991)+~P107(f315(f315(f275(x60991),x60992),x60993))+P107(f315(f315(f275(x60991),x60992),f315(f69(x60991),x60993)))
% 201.32/201.10 [6100]~P115(x61001)+~P107(f315(f315(f275(x61001),x61002),x61003))+P107(f315(f315(f275(x61001),x61002),f315(f72(x61001),x61003)))
% 201.32/201.10 [6112]E(f315(x61121,f845(x61121,x61122,x61123)),f315(a101,f2(a893)))+~E(f315(f315(f8(x61123,a893),x61121),x61122),f315(a101,f2(a893)))+~P107(f315(f54(x61123),x61122))
% 201.32/201.10 [6196]~P5(x61961)+~P107(f315(f315(f317(x61961),x61963),x61962))+P107(f315(f315(f223(x61961),f31(x61961,x61962)),x61963))
% 201.32/201.10 [6217]~P107(f315(f315(f223(a893),x62171),x62173))+P107(f315(f315(f223(a893),x62171),x62172))+~P107(f315(f315(f223(a893),x62173),x62172))
% 201.32/201.10 [6218]~P107(f315(f315(f223(a1),x62181),x62183))+P107(f315(f315(f223(a1),x62181),x62182))+~P107(f315(f315(f223(a1),x62183),x62182))
% 201.32/201.10 [6219]~P107(f315(f315(f275(a893),x62191),x62193))+P107(f315(f315(f275(a893),x62191),x62192))+~P107(f315(f315(f275(a893),x62193),x62192))
% 201.32/201.10 [6239]~P109(x62391)+~P107(f315(f315(f317(x62391),x62393),f315(f271(x62391),x62392)))+P107(f315(f315(f223(x62391),x62392),x62393))
% 201.32/201.10 [6240]~P109(x62401)+~P107(f315(f315(f317(x62401),x62402),f315(f289(x62401),x62403)))+P107(f315(f315(f223(x62401),x62402),x62403))
% 201.32/201.10 [6241]~P109(x62411)+~P107(f315(f315(f317(x62411),x62413),f315(f292(x62411),x62412)))+P107(f315(f315(f224(x62411),x62412),x62413))
% 201.32/201.10 [6242]~P109(x62421)+~P107(f315(f315(f317(x62421),x62422),f315(f270(x62421),x62423)))+P107(f315(f315(f224(x62421),x62422),x62423))
% 201.32/201.10 [6243]~P120(x62431)+~P107(f315(f315(f275(x62431),x62432),f315(f69(x62431),x62433)))+P107(f315(f315(f275(x62431),x62432),x62433))
% 201.32/201.10 [6244]~P115(x62441)+~P107(f315(f315(f275(x62441),x62442),f315(f72(x62441),x62443)))+P107(f315(f315(f275(x62441),x62442),x62443))
% 201.32/201.10 [6318]~P107(f315(x63181,x63182))+P107(f315(x63181,f769(x63181)))+~P107(f315(f315(f317(x63183),x63182),f230(f901(x63183,a891))))
% 201.32/201.10 [6465]~P67(x64651)+P107(f315(f315(f224(x64651),f2(x64651)),f865(x64653,x64652,x64651)))+P107(f315(f315(f223(x64651),x64652),x64653))
% 201.32/201.10 [6466]~P68(x64661)+P107(f315(f315(f224(x64661),f2(x64661)),f875(x64663,x64662,x64661)))+P107(f315(f315(f223(x64661),x64662),x64663))
% 201.32/201.10 [6535]~P82(x65351)+~P107(f315(f315(f223(x65351),x65353),f315(f72(x65351),x65352)))+P107(f315(f315(f223(x65351),x65352),f315(f72(x65351),x65353)))
% 201.32/201.10 [6537]~P82(x65371)+~P107(f315(f315(f224(x65371),x65373),f315(f72(x65371),x65372)))+P107(f315(f315(f224(x65371),x65372),f315(f72(x65371),x65373)))
% 201.32/201.10 [6549]~P107(f315(f315(f224(a893),x65491),x65493))+~P107(f315(f315(f224(a893),x65493),x65492))+P107(f315(f315(f224(a893),f315(a101,x65491)),x65492))
% 201.32/201.10 [6579]~P112(x65791)+P107(f315(f315(f223(x65791),f315(f89(x65791),x65792)),f315(f89(x65791),x65793)))+~P107(f315(f315(f223(a893),x65792),x65793))
% 201.32/201.10 [6580]~P120(x65801)+P107(f315(f315(f223(x65801),f315(f91(x65801),x65802)),f315(f91(x65801),x65803)))+~P107(f315(f315(f223(a1),x65802),x65803))
% 201.32/201.10 [6582]~P120(x65821)+P107(f315(f315(f224(x65821),f315(f91(x65821),x65822)),f315(f91(x65821),x65823)))+~P107(f315(f315(f224(a1),x65822),x65823))
% 201.32/201.10 [6583]~P112(x65831)+P107(f315(f315(f224(x65831),f315(f89(x65831),x65832)),f315(f89(x65831),x65833)))+~P107(f315(f315(f224(a893),x65832),x65833))
% 201.32/201.10 [6589]~P110(x65891)+E(f315(f315(f99(f901(x65891,a891)),f315(f270(x65891),x65892)),f315(f290(x65891,x65892),x65893)),f315(f270(x65891),x65893))+~P107(f315(f315(f223(x65891),x65892),x65893))
% 201.32/201.10 [6619]~P82(x66191)+~P107(f315(f315(f223(x66191),x66193),x66192))+P107(f315(f315(f223(x66191),f315(f72(x66191),x66192)),f315(f72(x66191),x66193)))
% 201.32/201.10 [6621]~P98(x66211)+~P107(f315(f315(f223(x66211),x66213),x66212))+P107(f315(f315(f223(x66211),f315(f72(x66211),x66212)),f315(f72(x66211),x66213)))
% 201.32/201.10 [6622]~P82(x66221)+~P107(f315(f315(f224(x66221),x66223),x66222))+P107(f315(f315(f224(x66221),f315(f72(x66221),x66222)),f315(f72(x66221),x66223)))
% 201.32/201.10 [6658]~P110(x66581)+E(f315(f315(f99(f901(x66581,a891)),f315(f270(x66581),x66582)),f291(x66581,x66582,x66583)),f315(f289(x66581),x66583))+~P107(f315(f315(f223(x66581),x66582),x66583))
% 201.32/201.10 [6659]~P110(x66591)+E(f315(f315(f99(f901(x66591,a891)),f315(f289(x66591),x66592)),f294(x66591,x66592,x66593)),f315(f270(x66591),x66593))+~P107(f315(f315(f224(x66591),x66592),x66593))
% 201.32/201.10 [6660]~P110(x66601)+E(f315(f315(f99(f901(x66601,a891)),f315(f289(x66601),x66602)),f293(x66601,x66602,x66603)),f315(f289(x66601),x66603))+~P107(f315(f315(f223(x66601),x66602),x66603))
% 201.32/201.10 [6694]~P110(x66941)+E(f315(f315(f99(f901(x66941,a891)),f315(f290(x66941,x66942),x66943)),f315(f271(x66941),x66943)),f315(f271(x66941),x66942))+~P107(f315(f315(f223(x66941),x66942),x66943))
% 201.32/201.10 [6855]~P110(x68551)+E(f315(f315(f99(f901(x68551,a891)),f291(x68551,x68552,x68553)),f315(f292(x68551),x68553)),f315(f271(x68551),x68552))+~P107(f315(f315(f223(x68551),x68552),x68553))
% 201.32/201.10 [6856]~P110(x68561)+E(f315(f315(f99(f901(x68561,a891)),f294(x68561,x68562,x68563)),f315(f271(x68561),x68563)),f315(f292(x68561),x68562))+~P107(f315(f315(f224(x68561),x68562),x68563))
% 201.32/201.10 [6857]~P110(x68571)+E(f315(f315(f99(f901(x68571,a891)),f293(x68571,x68572,x68573)),f315(f292(x68571),x68573)),f315(f292(x68571),x68572))+~P107(f315(f315(f223(x68571),x68572),x68573))
% 201.32/201.10 [6876]P107(f315(x68761,x68762))+~P107(f315(f315(f223(a893),x68762),x68763))+P107(f315(f315(f317(a893),f389(x68761,x68763)),f291(a893,f2(a893),x68763)))
% 201.32/201.10 [6910]E(x69101,x69102)+~E(f315(f315(f153(x69103),x69101),f632(x69103,x69102,x69101)),f315(f315(f153(x69103),x69102),f632(x69103,x69102,x69101)))+~E(f315(f178(f894(x69103)),x69101),f315(f178(f894(x69103)),x69102))
% 201.32/201.10 [6915]~E(x69153,f315(f315(f29(a893),x69151),x69152))+~P107(f315(f315(f224(a893),f2(a893)),x69152))+P107(f315(f315(f224(a893),x69151),f315(f315(f74(a893),x69152),f315(a101,x69153))))
% 201.32/201.10 [6931]~P107(f315(x69311,x69313))+~P107(f315(f315(f223(a893),x69313),x69312))+P107(f315(f315(f317(a893),f388(x69311,x69312)),f291(a893,f2(a893),x69312)))
% 201.32/201.10 [6970]~P107(f315(x69701,x69703))+P107(f315(x69701,f407(x69701,x69702)))+~P107(f315(f315(f317(a893),x69703),f291(a893,f2(a893),x69702)))
% 201.32/201.10 [6989]~P112(x69893)+~P107(f315(f315(f223(x69893),f315(f89(x69893),x69891)),f315(f89(x69893),x69892)))+P107(f315(f315(f223(a893),x69891),x69892))
% 201.32/201.10 [6990]~P120(x69903)+~P107(f315(f315(f223(x69903),f315(f91(x69903),x69901)),f315(f91(x69903),x69902)))+P107(f315(f315(f223(a1),x69901),x69902))
% 201.32/201.10 [6992]~P112(x69923)+~P107(f315(f315(f224(x69923),f315(f89(x69923),x69921)),f315(f89(x69923),x69922)))+P107(f315(f315(f224(a893),x69921),x69922))
% 201.32/201.10 [6993]~P120(x69933)+~P107(f315(f315(f224(x69933),f315(f91(x69933),x69931)),f315(f91(x69933),x69932)))+P107(f315(f315(f224(a1),x69931),x69932))
% 201.32/201.10 [7010]~P112(x70101)+~P107(f315(f315(f224(x70101),f71(x70101)),x70102))+P107(f315(f315(f224(x70101),f71(x70101)),f315(f315(f232(x70101),x70102),f315(a101,x70103))))
% 201.32/201.10 [7013]~P82(x70131)+~P107(f315(f315(f223(x70131),f315(f72(x70131),x70133)),f315(f72(x70131),x70132)))+P107(f315(f315(f223(x70131),x70132),x70133))
% 201.32/201.10 [7014]~P98(x70141)+~P107(f315(f315(f223(x70141),f315(f72(x70141),x70143)),f315(f72(x70141),x70142)))+P107(f315(f315(f223(x70141),x70142),x70143))
% 201.32/201.10 [7015]~P82(x70151)+~P107(f315(f315(f224(x70151),f315(f72(x70151),x70153)),f315(f72(x70151),x70152)))+P107(f315(f315(f224(x70151),x70152),x70153))
% 201.32/201.10 [7039]P107(f315(x70391,x70392))+~P107(f315(x70391,f390(x70391,x70393)))+~P107(f315(f315(f317(a893),x70392),f291(a893,f2(a893),x70393)))
% 201.32/201.10 [7061]~P67(x70611)+P107(f315(f315(f224(x70611),f865(x70613,x70612,x70611)),f71(x70611)))+P107(f315(f315(f223(x70611),x70612),x70613))
% 201.32/201.10 [7082]~E(f38(a893,x70823,x70822),f38(a893,x70821,x70822))+E(f315(f315(f73(a893),x70821),f315(f315(f74(a893),x70822),f359(x70821,x70822,x70823))),x70823)+~P107(f315(f315(f223(a893),x70821),x70823))
% 201.32/201.10 [7138]E(f315(f315(f8(x71381,a893),x71382),x71383),f2(a893))+~P107(f315(f54(x71381),x71383))+P107(f315(f315(f317(x71381),f806(x71382,x71383,x71381)),x71383))
% 201.32/201.10 [7139]E(f315(f315(f11(x71391,a893),x71392),x71393),f71(a893))+~P107(f315(f54(x71391),x71393))+P107(f315(f315(f317(x71391),f841(x71392,x71393,x71391)),x71393))
% 201.32/201.10 [7161]~P110(x71611)+~P107(f315(f315(f223(x71611),x71612),x71613))+P107(f315(f315(f223(f901(x71611,a891)),f315(f270(x71611),x71612)),f315(f270(x71611),x71613)))
% 201.32/201.10 [7162]~P111(x71621)+~P107(f315(f315(f223(x71621),x71622),x71623))+P107(f315(f315(f223(f901(x71621,a891)),f315(f289(x71621),x71622)),f315(f289(x71621),x71623)))
% 201.32/201.10 [7163]~P110(x71631)+~P107(f315(f315(f223(x71631),x71633),x71632))+P107(f315(f315(f223(f901(x71631,a891)),f315(f292(x71631),x71632)),f315(f292(x71631),x71633)))
% 201.32/201.10 [7164]~P111(x71641)+~P107(f315(f315(f223(x71641),x71643),x71642))+P107(f315(f315(f223(f901(x71641,a891)),f315(f271(x71641),x71642)),f315(f271(x71641),x71643)))
% 201.32/201.10 [7165]~P110(x71651)+~P107(f315(f315(f224(x71651),x71652),x71653))+P107(f315(f315(f224(f901(x71651,a891)),f315(f270(x71651),x71652)),f315(f270(x71651),x71653)))
% 201.32/201.10 [7176]~P5(x71761)+P107(f315(f315(f223(x71761),x71762),f31(x71761,x71763)))+P107(f315(f315(f317(x71761),f363(x71763,x71762,x71761)),x71763))
% 201.32/201.10 [7182]~P82(x71821)+P107(f315(f315(f223(x71821),f315(f315(f3(x71821),x71822),x71823)),f2(x71821)))+~P107(f315(f315(f223(x71821),x71822),x71823))
% 201.32/201.10 [7183]~P82(x71831)+P107(f315(f315(f224(x71831),f315(f315(f3(x71831),x71832),x71833)),f2(x71831)))+~P107(f315(f315(f224(x71831),x71832),x71833))
% 201.32/201.10 [7225]P107(f315(x72251,x72252))+P107(f315(f315(f223(a893),f390(x72251,x72253)),x72253))+~P107(f315(f315(f317(a893),x72252),f291(a893,f2(a893),x72253)))
% 201.32/201.10 [7267]~E(f315(f315(f8(x72671,a893),x72672),x72673),f71(a893))+~P107(f315(f54(x72671),x72673))+P107(f315(f315(f317(x72671),f849(x72672,x72673,x72671)),x72673))
% 201.32/201.10 [7268]~P107(f315(x72681,x72683))+P107(f315(f315(f223(a893),f407(x72681,x72682)),x72682))+~P107(f315(f315(f317(a893),x72683),f291(a893,f2(a893),x72682)))
% 201.32/201.10 [7308]~P5(x73081)+P107(f315(f315(f317(x73081),f653(x73083,x73082,x73081)),x73082))+P107(f315(f315(f223(x73081),f30(x73081,x73082)),x73083))
% 201.32/201.10 [7342]~E(f315(f315(f8(x73421,a893),x73422),x73423),f315(a101,f2(a893)))+~P107(f315(f54(x73421),x73423))+P107(f315(f315(f317(x73421),f845(x73422,x73423,x73421)),x73423))
% 201.32/201.10 [7353]E(x73531,f2(a893))+P107(f315(x73532,f38(a893,x73533,x73531)))+P107(f315(f315(f224(a893),f352(x73531,x73533,x73532)),x73531))
% 201.32/201.10 [7465]~P107(f315(x74651,x74652))+P107(f315(x74651,f38(a893,x74652,x74653)))+P107(f315(f315(f224(a893),f352(x74653,x74652,x74651)),x74653))
% 201.32/201.10 [7579]E(x75791,f102(x75792))+~P107(f315(f315(f317(f894(x75792)),x75791),f150(x75792,x75793)))+P107(f315(f315(f317(x75792),f668(x75793,x75791,x75792)),x75793))
% 201.32/201.10 [7602]~P110(x76021)+E(f315(f315(f99(f901(x76021,a891)),f315(f315(f297(x76021),x76022),f177(f901(x76021,a891)))),f294(x76021,x76022,x76023)),f315(f290(x76021,x76022),x76023))+~P107(f315(f315(f224(x76021),x76022),x76023))
% 201.32/201.10 [7623]~P110(x76231)+E(f315(f315(f99(f901(x76231,a891)),f315(f315(f297(x76231),x76232),f177(f901(x76231,a891)))),f293(x76231,x76232,x76233)),f291(x76231,x76232,x76233))+~P107(f315(f315(f223(x76231),x76232),x76233))
% 201.32/201.10 [7734]~P110(x77341)+P107(f315(f315(f223(x77341),x77342),x77343))+~P107(f315(f315(f223(f901(x77341,a891)),f315(f292(x77341),x77343)),f315(f292(x77341),x77342)))
% 201.32/201.10 [7735]~P111(x77351)+P107(f315(f315(f223(x77351),x77352),x77353))+~P107(f315(f315(f223(f901(x77351,a891)),f315(f271(x77351),x77353)),f315(f271(x77351),x77352)))
% 201.32/201.10 [7736]~P110(x77361)+P107(f315(f315(f223(x77361),x77362),x77363))+~P107(f315(f315(f223(f901(x77361,a891)),f315(f270(x77361),x77362)),f315(f270(x77361),x77363)))
% 201.32/201.10 [7737]~P111(x77371)+P107(f315(f315(f223(x77371),x77372),x77373))+~P107(f315(f315(f223(f901(x77371,a891)),f315(f289(x77371),x77372)),f315(f289(x77371),x77373)))
% 201.32/201.10 [7738]~P110(x77381)+P107(f315(f315(f224(x77381),x77382),x77383))+~P107(f315(f315(f224(f901(x77381,a891)),f315(f270(x77381),x77382)),f315(f270(x77381),x77383)))
% 201.32/201.10 [7761]~P82(x77611)+~P107(f315(f315(f223(x77611),f315(f315(f3(x77611),x77612),x77613)),f2(x77611)))+P107(f315(f315(f223(x77611),x77612),x77613))
% 201.32/201.10 [7762]~P82(x77621)+~P107(f315(f315(f224(x77621),f315(f315(f3(x77621),x77622),x77623)),f2(x77621)))+P107(f315(f315(f224(x77621),x77622),x77623))
% 201.32/201.10 [7918]E(x79181,f2(a893))+~E(f315(f131(a893,a893,f73(a893),x79182),x79183),f2(a893))+~P107(f315(f315(f317(a893),x79181),f315(f161(a893),x79183)))
% 201.32/201.10 [7922]~P5(x79221)+~P107(f315(f315(f223(x79221),f653(x79223,x79222,x79221)),x79223))+P107(f315(f315(f223(x79221),f30(x79221,x79222)),x79223))
% 201.32/201.10 [8076]P107(f315(f315(f223(a1),f2(a1)),f339(x80761,x80762,x80763)))+P107(f315(f315(x80762,f315(f315(f29(a1),x80761),x80763)),f38(a1,x80761,x80763)))+~P107(f315(f315(f224(a1),f2(a1)),x80763))
% 201.32/201.10 [8164]E(x81641,x81642)+~E(f315(f178(f894(x81643)),x81641),f315(f178(f894(x81643)),x81642))+~P107(f315(f315(f245(x81643,x81643,a891),a312),f641(x81643,x81641,x81642)))
% 201.32/201.10 [8235]~P39(x82352,x82353)+E(x82351,f177(f901(x82352,a891)))+~P107(f315(f315(f223(f901(x82352,a891)),x82351),f315(f273(x82352,x82352,x82353),x82351)))
% 201.32/201.10 [8266]~P68(x82661)+~P107(f315(f315(f223(x82661),x82662),f315(f315(f73(x82661),x82663),f875(x82663,x82662,x82661))))+P107(f315(f315(f223(x82661),x82662),x82663))
% 201.32/201.10 [8301]P54(x83011,x83012,x83013)+P107(f315(f315(f317(x83011),f554(x83013,x83012,x83011)),x83012))+P107(f315(f315(f317(f900(x83011,x83011)),f555(x83013,x83012,x83011)),x83013))
% 201.32/201.10 [8322]P107(f315(f315(x83222,f315(f315(f29(a1),x83221),x83223)),f38(a1,x83221,x83223)))+~P107(f315(f315(f224(a1),f2(a1)),x83223))+P107(f315(f315(f224(a1),f339(x83221,x83222,x83223)),x83223))
% 201.32/201.10 [8346]E(f315(f298(a893,a893,f315(f315(f9(a893,a893,a893),f3(a893)),x83461)),f315(f290(a893,x83462),x83463)),f177(f901(a893,a891)))+P107(f315(f315(f224(a893),x83461),x83463))+P107(f315(f315(f224(a893),x83462),x83463))
% 201.32/201.10 [8457]E(f315(f298(a893,a893,f315(f315(f9(a893,a893,a893),f3(a893)),x84571)),f315(f290(a893,x84572),x84573)),f315(f315(f297(a893),f2(a893)),f177(f901(a893,a891))))+P107(f315(f315(f224(a893),x84571),x84573))+~P107(f315(f315(f224(a893),x84572),x84573))
% 201.32/201.10 [8471]~P110(x84711)+E(f138(x84711,x84711,f7(x84711),x84712,x84713),x84713)+~P107(f315(f315(f317(x84711),x84712),f315(f161(x84711),x84713)))
% 201.32/201.10 [8484]P26(x84841,x84841,x84842,x84843)+~P107(f315(f54(x84841),x84843))+~P107(f315(f315(f223(f901(x84841,a891)),x84843),f315(f298(x84841,x84841,x84842),x84843)))
% 201.32/201.10 [8510]E(f315(f315(f73(a1),f315(f315(f74(a1),x85101),f340(x85102,x85103,x85101))),f339(x85102,x85103,x85101)),x85102)+P107(f315(f315(x85103,f315(f315(f29(a1),x85102),x85101)),f38(a1,x85102,x85101)))+~P107(f315(f315(f224(a1),f2(a1)),x85101))
% 201.32/201.10 [8748]~P107(f315(f315(x87481,f340(x87482,x87481,x87483)),f339(x87482,x87481,x87483)))+P107(f315(f315(x87481,f315(f315(f29(a1),x87482),x87483)),f38(a1,x87482,x87483)))+~P107(f315(f315(f224(a1),f2(a1)),x87483))
% 201.32/201.10 [9644]~P107(f315(f54(x96441),x96442))+~P107(f315(f315(f317(x96441),x96443),x96442))+P107(f315(f315(f224(a893),f315(f28(x96441),f315(f315(f3(f901(x96441,a891)),x96442),f315(f315(f297(x96441),x96443),f177(f901(x96441,a891)))))),f315(f28(x96441),x96442)))
% 201.32/201.10 [10243]P54(x102431,x102432,x102433)+~P107(f315(f315(f245(x102431,x102431,a891),f315(f315(f9(x102431,f901(x102431,a891),f901(x102431,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x102431,a891),f901(x102431,a891)),x102431),f10(a891,a891,x102431)),f315(f315(f10(a891,f901(a891,a891),x102431),a313),f315(f315(f9(x102431,f901(x102431,a891),a891),f317(x102431)),x102432)))),f315(f315(f9(x102431,f901(x102431,a891),a891),f317(x102431)),x102432))),f555(x102433,x102432,x102431)))+P107(f315(f315(f317(x102431),f554(x102433,x102432,x102431)),x102432))
% 201.32/201.10 [5541]~P124(x55412)+E(x55411,f2(x55412))+E(f315(f315(f279(x55412),x55413),f315(f72(x55412),x55411)),f315(f72(x55412),f315(f315(f279(x55412),x55413),x55411)))
% 201.32/201.10 [5683]~E(x56833,f177(f901(x56831,a891)))+~E(x56832,f177(f901(x56831,a891)))+E(f315(f315(f99(f901(x56831,a891)),x56832),x56833),f177(f901(x56831,a891)))
% 201.32/201.10 [5741]~E(x57413,f2(a893))+~P107(f315(x57411,f2(a893)))+P107(f315(x57411,f315(f315(f29(a893),x57412),x57413)))
% 201.32/201.10 [5893]~P68(x58932)+E(x58931,f2(x58932))+E(f315(f315(f279(x58932),f315(f69(x58932),x58933)),f315(f69(x58932),x58931)),f315(f69(x58932),f315(f315(f279(x58932),x58933),x58931)))
% 201.32/201.10 [6012]~P62(x60121)+E(f315(f315(f74(x60121),x60122),f315(f315(f29(x60121),x60123),x60122)),x60123)+~P107(f315(f315(f275(x60121),x60122),x60123))
% 201.32/201.10 [6067]~P107(f315(f54(x60671),x60673))+E(f315(f28(x60671),f315(f315(f297(x60671),x60672),x60673)),f315(a101,f315(f28(x60671),x60673)))+P107(f315(f315(f317(x60671),x60672),x60673))
% 201.32/201.10 [6144]~E(x61442,f2(a893))+P107(f315(x61441,f2(a893)))+~P107(f315(x61441,f315(f315(f29(a893),x61443),x61442)))
% 201.32/201.10 [6161]~P107(f315(f54(x61611),x61613))+E(f315(f28(x61611),f315(f315(f297(x61611),x61612),x61613)),f315(f28(x61611),x61613))+~P107(f315(f315(f317(x61611),x61612),x61613))
% 201.32/201.10 [6198]~P107(f315(f54(x61981),x61983))+E(f315(f28(x61981),f315(f315(f297(x61981),x61982),x61983)),f315(f315(f73(a893),f71(a893)),f315(f28(x61981),x61983)))+P107(f315(f315(f317(x61981),x61982),x61983))
% 201.32/201.10 [6205]~P63(x62051)+E(f315(f315(f29(x62051),x62052),f315(f72(x62051),x62053)),f315(f72(x62051),f315(f315(f29(x62051),x62052),x62053)))+~P107(f315(f315(f275(x62051),x62053),x62052))
% 201.32/201.10 [6319]E(f315(f315(f73(a893),x63191),f850(x63191,x63192,x63193)),x63192)+~P107(f315(x63193,f2(a893)))+P107(f315(x63193,f315(f315(f3(a893),x63192),x63191)))
% 201.32/201.10 [6320]E(f315(f315(f73(a893),x63201),f852(x63201,x63202,x63203)),x63202)+~P107(f315(x63203,f2(a893)))+P107(f315(x63203,f315(f315(f3(a893),x63202),x63201)))
% 201.32/201.10 [6344]~P63(x63441)+E(f315(f315(f29(x63441),f315(f72(x63441),x63442)),x63443),f315(f72(x63441),f315(f315(f29(x63441),x63442),x63443)))+~P107(f315(f315(f275(x63441),x63443),x63442))
% 201.32/201.10 [6368]~P5(x63681)+~P107(f315(f54(x63681),x63683))+E(f315(f315(f57(x63681,x63681,f99(x63681)),x63682),x63683),f315(f315(f99(x63681),x63682),f30(x63681,x63683)))
% 201.32/201.10 [6369]~P5(x63691)+~P107(f315(f54(x63691),x63693))+E(f315(f315(f57(x63691,x63691,f90(x63691)),x63692),x63693),f315(f315(f90(x63691),x63692),f31(x63691,x63693)))
% 201.32/201.10 [6375]~P97(x63751)+~E(f315(f92(x63751),x63752),f315(f92(x63751),x63753))+P29(x63751,f315(f92(x63751),f315(f315(f73(a1),x63752),f315(f72(a1),x63753))))
% 201.32/201.10 [6384]~P144(x63841)+E(f315(f315(f3(x63841),f315(f89(x63841),x63842)),f315(f89(x63841),x63843)),f315(f89(x63841),f315(f315(f3(a893),x63842),x63843)))+~P107(f315(f315(f223(a893),x63843),x63842))
% 201.32/201.10 [6391]~P120(x63911)+~P107(f315(f315(f275(x63911),x63912),x63913))+P107(f315(f315(f275(x63911),f315(f69(x63911),x63912)),x63913))
% 201.32/201.10 [6392]~P115(x63921)+~P107(f315(f315(f275(x63921),x63922),x63923))+P107(f315(f315(f275(x63921),f315(f72(x63921),x63922)),x63923))
% 201.32/201.10 [6476]E(f315(f315(f73(a893),x64761),f850(x64761,x64762,x64763)),x64762)+P107(f315(f315(f224(a893),x64762),x64761))+P107(f315(x64763,f315(f315(f3(a893),x64762),x64761)))
% 201.32/201.10 [6477]E(f315(f315(f73(a893),x64771),f852(x64771,x64772,x64773)),x64772)+P107(f315(f315(f224(a893),x64772),x64771))+P107(f315(x64773,f315(f315(f3(a893),x64772),x64771)))
% 201.32/201.10 [6493]~P120(x64931)+E(f315(f315(f74(x64931),f315(f69(x64931),x64932)),x64933),f315(f69(x64931),f315(f315(f74(x64931),x64932),x64933)))+~P107(f315(f315(f223(x64931),f2(x64931)),x64933))
% 201.32/201.10 [6494]~P67(x64941)+E(f315(f315(f279(x64941),f315(f69(x64941),x64942)),x64943),f315(f69(x64941),f315(f315(f279(x64941),x64942),x64943)))+~P107(f315(f315(f224(x64941),f2(x64941)),x64943))
% 201.32/201.10 [6503]~P80(x65031)+~P107(f315(f54(x65031),x65033))+E(f315(f315(f57(x65031,x65031,f99(x65031)),x65032),x65033),f12(x65031,f315(f315(f297(x65031),x65032),x65033)))
% 201.32/201.10 [6504]~P80(x65041)+~P107(f315(f54(x65041),x65043))+E(f315(f315(f57(x65041,x65041,f90(x65041)),x65042),x65043),f13(x65041,f315(f315(f297(x65041),x65042),x65043)))
% 201.32/201.10 [6505]~P110(x65051)+~P107(f315(f54(x65051),x65053))+E(f315(f315(f57(x65051,x65051,f221(x65051)),x65052),x65053),f16(x65051,f315(f315(f297(x65051),x65052),x65053)))
% 201.32/201.10 [6506]~P110(x65061)+~P107(f315(f54(x65061),x65063))+E(f315(f315(f57(x65061,x65061,f222(x65061)),x65062),x65063),f17(x65061,f315(f315(f297(x65061),x65062),x65063)))
% 201.32/201.10 [6551]E(x65511,f102(x65512))+~E(f168(x65512,x65513),f102(f894(x65512)))+~P107(f315(f315(f317(f894(x65512)),x65511),f315(f161(f894(x65512)),x65513)))
% 201.32/201.10 [6597]~P107(f315(f126(x65971),x65973))+P107(f315(f315(f317(x65971),x65972),f315(f161(x65971),x65973)))+P107(f315(f126(x65971),f315(f315(f140(x65971),x65972),x65973)))
% 201.32/201.10 [6608]~P99(x66081)+~P107(f315(f54(x66081),x66083))+E(f315(f56(x66081,f74(x66081)),f315(f315(f297(x66081),x66082),x66083)),f315(f315(f57(x66081,x66081,f74(x66081)),x66082),x66083))
% 201.32/201.10 [6630]~P110(x66301)+~P107(f315(f54(x66301),x66303))+E(f14(x66301,f221(x66301),f315(f315(f297(x66301),x66302),x66303)),f315(f315(f57(x66301,x66301,f221(x66301)),x66302),x66303))
% 201.32/201.10 [6631]~P110(x66311)+~P107(f315(f54(x66311),x66313))+E(f15(x66311,f222(x66311),f315(f315(f297(x66311),x66312),x66313)),f315(f315(f57(x66311,x66311,f222(x66311)),x66312),x66313))
% 201.32/201.10 [6633]P107(f315(x66331,f2(a893)))+~P107(f315(f315(f224(a893),x66332),x66333))+~P107(f315(x66331,f315(f315(f3(a893),x66332),x66333)))
% 201.32/201.10 [6654]~P88(x66541)+P107(f315(f315(f223(x66541),x66542),x66543))+~P107(f315(f315(f223(x66541),f315(f69(x66541),x66542)),x66543))
% 201.32/201.10 [6655]~P120(x66551)+P107(f315(f315(f224(x66551),x66552),x66553))+~P107(f315(f315(f224(x66551),f315(f69(x66551),x66552)),x66553))
% 201.32/201.10 [6656]~P120(x66561)+P107(f315(f315(f275(x66561),x66562),x66563))+~P107(f315(f315(f275(x66561),f315(f69(x66561),x66562)),x66563))
% 201.32/201.10 [6657]~P115(x66571)+P107(f315(f315(f275(x66571),x66572),x66573))+~P107(f315(f315(f275(x66571),f315(f72(x66571),x66572)),x66573))
% 201.32/201.10 [6674]E(x66741,f102(x66742))+E(f315(f130(x66742),f315(f315(f127(x66742),x66743),x66741)),f315(f315(f153(x66742),x66741),x66743))+~P107(f315(f315(f224(a893),x66743),f315(f178(f894(x66742)),x66741)))
% 201.32/201.10 [6729]~P107(f315(x67291,x67293))+P107(f315(x67291,f455(x67291,x67292)))+~P107(f315(f315(f317(a893),x67293),f315(f290(a893,f2(a893)),x67292)))
% 201.32/201.10 [6749]P107(f315(x67491,x67492))+~P107(f315(f315(f224(a893),x67492),x67493))+P107(f315(f315(f317(a893),f454(x67491,x67493)),f315(f290(a893,f2(a893)),x67493)))
% 201.32/201.10 [6764]~P112(x67641)+~P107(f315(f315(f223(x67641),f71(x67641)),x67642))+P107(f315(f315(f223(x67641),f71(x67641)),f315(f315(f232(x67641),x67642),x67643)))
% 201.34/201.10 [6766]~P112(x67661)+~P107(f315(f315(f223(x67661),f2(x67661)),x67662))+P107(f315(f315(f223(x67661),f2(x67661)),f315(f315(f232(x67661),x67662),x67663)))
% 201.34/201.10 [6768]~P112(x67681)+~P107(f315(f315(f224(x67681),f2(x67681)),x67682))+P107(f315(f315(f224(x67681),f2(x67681)),f315(f315(f232(x67681),x67682),x67683)))
% 201.34/201.10 [6793]~P107(f315(x67931,x67933))+~P107(f315(f315(f224(a893),x67933),x67932))+P107(f315(f315(f317(a893),f433(x67931,x67932)),f315(f290(a893,f2(a893)),x67932)))
% 201.34/201.10 [6801]P107(f315(f54(x68011),x68012))+~P107(f315(f54(x68011),x68013))+~P107(f315(f315(f223(f901(x68011,a891)),x68012),x68013))
% 201.34/201.10 [6808]~P107(f315(f315(f275(a893),x68081),x68082))+~P107(f315(f315(f275(a893),x68081),x68083))+P107(f315(f315(f275(a893),x68081),f315(f315(f3(a893),x68082),x68083)))
% 201.34/201.10 [6809]P107(f315(x68091,x68092))+~P107(f315(x68091,f457(x68091,x68093)))+~P107(f315(f315(f317(a893),x68092),f315(f290(a893,f2(a893)),x68093)))
% 201.34/201.10 [6822]E(x68221,f2(a893))+P107(f315(x68222,f351(x68221,x68223,x68222)))+~P107(f315(x68222,f315(f315(f29(a893),x68223),x68221)))
% 201.34/201.10 [6830]~P127(x68302)+E(x68301,f2(x68302))+~E(f315(f315(f73(x68302),f315(f315(f74(x68302),x68303),x68303)),f315(f315(f74(x68302),x68301),x68301)),f2(x68302))
% 201.34/201.10 [6831]~P127(x68312)+E(x68311,f2(x68312))+~E(f315(f315(f73(x68312),f315(f315(f74(x68312),x68311),x68311)),f315(f315(f74(x68312),x68313),x68313)),f2(x68312))
% 201.34/201.10 [6877]E(x68771,f2(a893))+~P107(f315(x68772,f348(x68771,x68773,x68772)))+P107(f315(x68772,f315(f315(f29(a893),x68773),x68771)))
% 201.34/201.10 [6882]~P110(x68821)+~P13(x68821,x68823)+P13(x68821,f315(f315(f137(x68821,x68821,f7(x68821)),x68822),x68823))
% 201.34/201.10 [6924]P107(f315(x69241,f351(x69242,x69243,x69241)))+P107(f315(x69241,f2(a893)))+~P107(f315(x69241,f315(f315(f29(a893),x69243),x69242)))
% 201.34/201.10 [6930]~P97(x69301)+E(f315(f92(x69301),x69302),f315(f92(x69301),x69303))+~P29(x69301,f315(f92(x69301),f315(f315(f73(a1),x69302),f315(f72(a1),x69303))))
% 201.34/201.10 [6996]E(x69961,f2(a1))+E(x69962,f2(a1))+~P107(f315(f42(x69962,x69962),f315(f315(f240(a1,a1),x69963),x69961)))
% 201.34/201.10 [6997]E(x69971,f71(a1))+E(x69972,f2(a1))+~P107(f315(f42(x69972,x69972),f315(f315(f240(a1,a1),x69971),x69973)))
% 201.34/201.10 [7012]P107(f315(x70121,x70122))+P107(f315(f315(f224(a893),f457(x70121,x70123)),x70123))+~P107(f315(f315(f317(a893),x70122),f315(f290(a893,f2(a893)),x70123)))
% 201.34/201.10 [7035]~P107(f315(x70351,f850(x70353,x70352,x70351)))+~P107(f315(x70351,f2(a893)))+P107(f315(x70351,f315(f315(f3(a893),x70352),x70353)))
% 201.34/201.10 [7036]~P107(f315(x70361,f852(x70363,x70362,x70361)))+~P107(f315(x70361,f2(a893)))+P107(f315(x70361,f315(f315(f3(a893),x70362),x70363)))
% 201.34/201.10 [7037]~P107(f315(x70371,f348(x70373,x70372,x70371)))+~P107(f315(x70371,f2(a893)))+P107(f315(x70371,f315(f315(f29(a893),x70372),x70373)))
% 201.34/201.10 [7057]~P107(f315(x70571,x70573))+P107(f315(f315(f224(a893),f455(x70571,x70572)),x70572))+~P107(f315(f315(f317(a893),x70573),f315(f290(a893,f2(a893)),x70572)))
% 201.34/201.10 [7058]E(f315(f315(f3(a893),f315(f315(f3(a893),x70581),x70582)),f315(f315(f3(a893),x70583),x70582)),f315(f315(f3(a893),x70581),x70583))+~P107(f315(f315(f223(a893),x70582),x70581))+~P107(f315(f315(f223(a893),x70582),x70583))
% 201.34/201.10 [7095]~P82(x70951)+~P107(f315(f315(f223(x70951),f315(f72(x70951),x70953)),x70952))+P107(f315(f315(f223(x70951),f315(f72(x70951),x70952)),x70953))
% 201.34/201.10 [7097]~P88(x70971)+~P107(f315(f315(f223(x70971),f315(f69(x70971),x70972)),x70973))+P107(f315(f315(f223(x70971),f315(f72(x70971),x70972)),x70973))
% 201.34/201.10 [7099]~P82(x70991)+~P107(f315(f315(f224(x70991),f315(f72(x70991),x70993)),x70992))+P107(f315(f315(f224(x70991),f315(f72(x70991),x70992)),x70993))
% 201.34/201.10 [7100]~P120(x71001)+~P107(f315(f315(f224(x71001),f315(f69(x71001),x71002)),x71003))+P107(f315(f315(f224(x71001),f315(f72(x71001),x71002)),x71003))
% 201.34/201.10 [7133]~P107(f315(x71333,f850(x71332,x71331,x71333)))+P107(f315(f315(f224(a893),x71331),x71332))+P107(f315(x71333,f315(f315(f3(a893),x71331),x71332)))
% 201.34/201.10 [7134]~P107(f315(x71343,f852(x71342,x71341,x71343)))+P107(f315(f315(f224(a893),x71341),x71342))+P107(f315(x71343,f315(f315(f3(a893),x71341),x71342)))
% 201.34/201.10 [7186]~E(f744(x71863,x71862,x71861),f731(x71863,x71862,x71861))+E(f315(f315(f90(f901(x71861,a891)),x71862),f30(f901(x71861,a891),x71863)),f177(f901(x71861,a891)))+P107(f315(f315(f317(f901(x71861,a891)),x71862),x71863))
% 201.34/201.10 [7194]~P107(f315(f54(x71941),x71943))+P107(f315(f54(x71941),f31(f901(x71941,a891),x71942)))+~P107(f315(f315(f317(f901(x71941,a891)),x71943),x71942))
% 201.34/201.10 [7254]~P110(x72541)+E(f315(f315(f99(f901(x72541,a891)),f315(f290(x72541,x72542),x72543)),f315(f315(f297(x72541),x72543),f177(f901(x72541,a891)))),f291(x72541,x72542,x72543))+~P107(f315(f315(f223(x72541),x72542),x72543))
% 201.34/201.10 [7257]E(x72571,f2(a893))+P107(f315(f315(f224(a893),f349(x72571,x72573,x72572)),x72571))+P107(f315(x72572,f315(f315(f29(a893),x72573),x72571)))
% 201.34/201.10 [7286]P107(f315(f315(f224(a893),f315(f178(f894(x72861)),x72862)),f761(x72863,x72861)))+~P107(f315(f54(f894(x72861)),x72863))+~P107(f315(f315(f317(f894(x72861)),x72862),x72863))
% 201.34/201.10 [7292]E(x72921,x72922)+~P107(f315(f315(f223(f901(x72923,a891)),x72921),x72922))+P107(f315(f315(f224(f901(x72923,a891)),x72921),x72922))
% 201.34/201.10 [7305]E(x73051,x73052)+~E(f315(f178(f894(x73053)),x73051),f315(f178(f894(x73053)),x73052))+P107(f315(f315(f224(a893),f632(x73053,x73051,x73052)),f315(f178(f894(x73053)),x73052)))
% 201.34/201.10 [7354]P8(x73541,x73542,x73543)+~E(f315(f252(x73541,x73541),x73543),x73542)+~E(f315(f315(f277(x73541,x73541,x73541),f315(f274(x73541,x73541),x73543)),x73543),x73543)
% 201.34/201.10 [7434]~P107(f315(x74341,f2(a893)))+P107(f315(f315(f224(a893),f349(x74343,x74342,x74341)),x74343))+P107(f315(x74341,f315(f315(f29(a893),x74342),x74343)))
% 201.34/201.10 [7444]~P110(x74441)+E(f315(f315(f99(f901(x74441,a891)),f294(x74441,x74442,x74443)),f315(f315(f297(x74441),x74443),f177(f901(x74441,a891)))),f293(x74441,x74442,x74443))+~P107(f315(f315(f224(x74441),x74442),x74443))
% 201.34/201.10 [7536]~P107(f315(f54(x75361),x75363))+P107(f315(f315(f223(a893),f315(f28(x75361),x75362)),f315(f28(x75361),x75363)))+~P107(f315(f315(f223(f901(x75361,a891)),x75362),x75363))
% 201.34/201.10 [7537]~P107(f315(f54(x75371),x75373))+P107(f315(f315(f224(a893),f315(f28(x75371),x75372)),f315(f28(x75371),x75373)))+~P107(f315(f315(f224(f901(x75371,a891)),x75372),x75373))
% 201.34/201.10 [7669]E(x76691,x76692)+~P107(f315(f315(f223(f901(x76693,a891)),x76692),x76691))+~P107(f315(f315(f223(f901(x76693,a891)),x76691),x76692))
% 201.34/201.10 [7672]~P110(x76721)+P13(x76721,x76722)+~P13(x76721,f315(f315(f137(x76721,x76721,f7(x76721)),x76723),x76722))
% 201.34/201.10 [7743]~P107(f315(f315(f224(a893),x77433),x77432))+~P107(f315(f315(f224(a893),x77433),x77431))+P107(f315(f315(f224(a893),f315(f315(f3(a893),x77431),x77432)),f315(f315(f3(a893),x77431),x77433)))
% 201.34/201.10 [7744]~P107(f315(f315(f223(a893),x77442),x77441))+~P107(f315(f315(f224(a893),x77441),x77443))+P107(f315(f315(f224(a893),f315(f315(f3(a893),x77441),x77442)),f315(f315(f3(a893),x77443),x77442)))
% 201.34/201.10 [7759]~P107(f315(f315(f224(a1),x77592),f2(a1)))+~P107(f315(f315(f223(a1),x77593),x77591))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x77591),x77592)),f315(f315(f29(a1),x77593),x77592)))
% 201.34/201.10 [7776]~P107(f315(f315(f224(a893),f2(a893)),x77763))+~P107(f315(f315(f223(a893),x77763),x77762))+P107(f315(f315(f223(a893),f315(f315(f29(a893),x77761),x77762)),f315(f315(f29(a893),x77761),x77763)))
% 201.34/201.10 [7777]~P107(f315(f315(f224(a1),f2(a1)),x77772))+~P107(f315(f315(f223(a1),x77771),x77773))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x77771),x77772)),f315(f315(f29(a1),x77773),x77772)))
% 201.34/201.10 [7781]~P107(f315(f315(f224(a893),f2(a893)),x77812))+~P107(f315(f315(f224(a893),x77811),x77813))+P107(f315(f315(f224(a893),f315(f315(f74(a893),x77811),x77812)),f315(f315(f74(a893),x77813),x77812)))
% 201.34/201.10 [7782]~P107(f315(f315(f224(a893),f2(a893)),x77821))+~P107(f315(f315(f224(a893),x77822),x77823))+P107(f315(f315(f224(a893),f315(f315(f74(a893),x77821),x77822)),f315(f315(f74(a893),x77821),x77823)))
% 201.34/201.10 [7783]~P107(f315(f315(f224(a1),f2(a1)),x77831))+~P107(f315(f315(f224(a1),x77832),x77833))+P107(f315(f315(f224(a1),f315(f315(f74(a1),x77831),x77832)),f315(f315(f74(a1),x77831),x77833)))
% 201.34/201.10 [7832]E(x78321,f2(a893))+E(f315(f315(f73(a893),f315(f315(f74(a893),x78321),f348(x78321,x78322,x78323))),f349(x78321,x78322,x78323)),x78322)+P107(f315(x78323,f315(f315(f29(a893),x78322),x78321)))
% 201.34/201.10 [7891]E(f315(f315(f73(a893),f315(f315(f74(a893),x78911),f348(x78911,x78912,x78913))),f349(x78911,x78912,x78913)),x78912)+~P107(f315(x78913,f2(a893)))+P107(f315(x78913,f315(f315(f29(a893),x78912),x78911)))
% 201.34/201.10 [7909]~P107(f315(f54(x79091),x79093))+P107(f315(f315(f317(x79091),f821(x79092,x79093,x79091)),x79093))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f11(x79091,a893),x79092),x79093)))
% 201.34/201.10 [7910]~P107(f315(f54(x79101),x79103))+P107(f315(f315(f317(x79101),f872(x79102,x79103,x79101)),x79103))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f11(x79101,a893),x79102),x79103)))
% 201.34/201.10 [8010]E(x80101,f2(a893))+P107(f315(f315(f275(a893),x80102),x80103))+~P107(f315(f315(f275(a893),f315(f315(f74(a893),x80101),x80102)),f315(f315(f74(a893),x80101),x80103)))
% 201.34/201.10 [8200]E(x82001,f177(f901(x82002,a891)))+E(x82001,f315(f315(f297(x82002),x82003),f177(f901(x82002,a891))))+~P107(f315(f315(f223(f901(x82002,a891)),x82001),f315(f315(f297(x82002),x82003),f177(f901(x82002,a891)))))
% 201.34/201.10 [8236]~P107(f315(f315(f224(a893),f71(a893)),x82363))+P107(f315(f315(f223(a893),x82361),x82362))+~P107(f315(f315(f275(a893),f315(f315(f232(a893),x82363),x82361)),f315(f315(f232(a893),x82363),x82362)))
% 201.34/201.10 [8238]~P107(f315(f315(f224(a893),f2(a893)),x82383))+P107(f315(f315(f223(a893),x82381),x82382))+~P107(f315(f315(f223(a893),f315(f315(f74(a893),x82383),x82381)),f315(f315(f74(a893),x82383),x82382)))
% 201.34/201.10 [8239]~P107(f315(f315(f224(a893),f2(a893)),x82393))+P107(f315(f315(f223(a893),x82391),x82392))+~P107(f315(f315(f223(a893),f315(f315(f74(a893),x82391),x82393)),f315(f315(f74(a893),x82392),x82393)))
% 201.34/201.10 [8241]~P107(f315(f315(f224(a893),f2(a893)),x82413))+P107(f315(f315(f224(a893),x82411),x82412))+~P107(f315(f315(f224(a893),f315(f315(f232(a893),x82413),x82411)),f315(f315(f232(a893),x82413),x82412)))
% 201.34/201.10 [8243]~P107(f315(f315(f224(a893),f2(a893)),x82433))+P107(f315(f315(f275(a893),x82431),x82432))+~P107(f315(f315(f275(a893),f315(f315(f74(a893),x82433),x82431)),f315(f315(f74(a893),x82433),x82432)))
% 201.34/201.10 [8282]~E(f315(f315(f90(f901(x82821,a891)),f731(x82823,x82822,x82821)),f744(x82823,x82822,x82821)),f177(f901(x82821,a891)))+E(f315(f315(f90(f901(x82821,a891)),x82822),f30(f901(x82821,a891),x82823)),f177(f901(x82821,a891)))+P107(f315(f315(f317(f901(x82821,a891)),x82822),x82823))
% 201.34/201.10 [8296]E(x82961,f102(x82962))+~E(f315(f131(f894(x82962),f894(x82962),f123(x82962),f102(x82962)),x82963),f102(x82962))+~P107(f315(f315(f317(f894(x82962)),x82961),f315(f161(f894(x82962)),x82963)))
% 201.34/201.10 [8351]E(x83511,f177(f901(f901(x83512,a891),a891)))+P107(f315(f315(f317(f901(x83512,a891)),f366(x83513,x83511,x83512)),x83511))+P107(f315(f315(f223(f901(x83512,a891)),f31(f901(x83512,a891),x83511)),x83513))
% 201.34/201.10 [8357]~P72(x83571)+~P76(x83571)+E(f315(f315(f8(a1,x83571),f315(f315(f10(a893,x83571,a1),x83572),a93)),f315(f298(a893,a1,f89(a1)),x83573)),f315(f315(f8(a893,x83571),x83572),x83573))
% 201.34/201.10 [8358]~P72(x83581)+~P76(x83581)+E(f315(f315(f11(a1,x83581),f315(f315(f10(a893,x83581,a1),x83582),a93)),f315(f298(a893,a1,f89(a1)),x83583)),f315(f315(f11(a893,x83581),x83582),x83583))
% 201.34/201.10 [8400]~P107(f315(f54(x84001),x84003))+~P107(f315(f315(f224(a893),f2(a893)),f315(x84002,f821(x84002,x84003,x84001))))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f11(x84001,a893),x84002),x84003)))
% 201.34/201.10 [8401]~P107(f315(f54(x84011),x84013))+~P107(f315(f315(f224(a893),f2(a893)),f315(x84012,f872(x84012,x84013,x84011))))+P107(f315(f315(f224(a893),f2(a893)),f315(f315(f11(x84011,a893),x84012),x84013)))
% 201.34/201.10 [8437]~P66(x84372)+E(x84371,f71(x84372))+E(f315(f315(f279(x84372),f315(f315(f3(x84372),f315(f315(f232(x84372),x84371),x84373)),f71(x84372))),f315(f315(f3(x84372),x84371),f71(x84372))),f315(f315(f8(a893,x84372),f315(f232(x84372),x84371)),f315(f290(a893,f2(a893)),x84373)))
% 201.34/201.10 [8495]E(x84951,f2(a893))+~P107(f315(x84953,f315(f315(f29(a893),x84952),x84951)))+P107(f315(f315(f224(a893),x84952),f315(f315(f74(a893),x84951),f315(a101,f351(x84951,x84952,x84953)))))
% 201.34/201.10 [8514]P107(f315(x85141,f2(a893)))+~P107(f315(x85141,f315(f315(f29(a893),x85142),x85143)))+P107(f315(f315(f224(a893),x85142),f315(f315(f74(a893),x85143),f315(a101,f351(x85143,x85142,x85141)))))
% 201.34/201.10 [8552]E(x85521,f2(a893))+~P107(f315(x85523,f315(f315(f29(a893),x85522),x85521)))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x85521),f351(x85521,x85522,x85523))),x85522))
% 201.34/201.10 [8583]P107(f315(x85831,f2(a893)))+~P107(f315(x85831,f315(f315(f29(a893),x85833),x85832)))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x85832),f351(x85832,x85833,x85831))),x85833))
% 201.34/201.10 [8591]~P110(x85911)+E(f315(f315(f137(x85911,x85911,f7(x85911)),x85912),x85913),f138(x85911,x85911,f7(x85911),x85912,x85913))+P107(f315(f315(f317(x85911),x85912),f315(f161(x85911),x85913)))
% 201.34/201.10 [8626]~E(f315(x86263,f563(x86262,x86263,x86261)),f315(x86263,f565(x86262,x86263,x86261)))+~P61(x86261,f315(x86263,f564(x86262,x86263,x86261)))+P61(x86261,f315(f315(f33(x86262,f901(x86261,f901(x86261,a891))),f230(f901(x86262,a891))),x86263))
% 201.34/201.10 [8635]E(x86351,f177(f901(f901(x86352,a891),a891)))+~P107(f315(f315(f223(f901(x86352,a891)),f366(x86353,x86351,x86352)),x86353))+P107(f315(f315(f223(f901(x86352,a891)),f31(f901(x86352,a891),x86351)),x86353))
% 201.34/201.10 [8695]~P68(x86951)+~P107(f315(f315(f224(x86951),x86952),x86953))+P107(f315(f315(f224(x86951),x86952),f315(f315(f279(x86951),f315(f315(f73(x86951),x86952),x86953)),f315(f315(f73(x86951),f71(x86951)),f71(x86951)))))
% 201.34/201.10 [8754]~P107(f315(f315(x87541,f373(x87541,x87543,x87542)),f376(x87541,x87543,x87542)))+P107(f315(f315(x87541,x87542),x87543))+~P107(f315(f303(f900(a1,a1),a45),f315(f315(f240(a1,a1),x87542),x87543)))
% 201.34/201.10 [8755]~P107(f315(f315(x87551,f377(x87551,x87553,x87552)),f378(x87551,x87553,x87552)))+P107(f315(f315(x87551,x87552),x87553))+~P107(f315(f303(f900(a1,a1),a51),f315(f315(f240(a1,a1),x87552),x87553)))
% 201.34/201.10 [8756]~P107(f315(f315(x87561,f379(x87561,x87563,x87562)),f383(x87561,x87563,x87562)))+P107(f315(f315(x87561,x87562),x87563))+~P107(f315(f303(f900(a1,a1),a210),f315(f315(f240(a1,a1),x87562),x87563)))
% 201.34/201.10 [8757]~P107(f315(f315(x87571,f384(x87571,x87573,x87572)),f385(x87571,x87573,x87572)))+P107(f315(f315(x87571,x87572),x87573))+~P107(f315(f303(f900(a893,a893),a208),f315(f315(f240(a893,a893),x87572),x87573)))
% 201.34/201.10 [8758]~P107(f315(f315(x87581,f655(x87581,x87583,x87582)),f657(x87581,x87583,x87582)))+P107(f315(f315(x87581,x87582),x87583))+~P107(f315(f303(f900(a1,a1),a171),f315(f315(f240(a1,a1),x87582),x87583)))
% 201.34/201.10 [8759]~P107(f315(f315(x87591,f749(x87591,x87593,x87592)),f750(x87591,x87593,x87592)))+P107(f315(f315(x87591,x87592),x87593))+~P107(f315(f303(f900(a1,a1),a122),f315(f315(f240(a1,a1),x87592),x87593)))
% 201.34/201.10 [9032]P107(f315(f315(x90321,x90322),x90323))+P107(f315(f303(f900(a893,a893),a208),f315(f315(f240(a893,a893),f384(x90321,x90323,x90322)),f385(x90321,x90323,x90322))))+~P107(f315(f303(f900(a893,a893),a208),f315(f315(f240(a893,a893),x90322),x90323)))
% 201.34/201.10 [9033]P107(f315(f315(x90331,x90332),x90333))+P107(f315(f303(f900(a1,a1),a45),f315(f315(f240(a1,a1),f373(x90331,x90333,x90332)),f376(x90331,x90333,x90332))))+~P107(f315(f303(f900(a1,a1),a45),f315(f315(f240(a1,a1),x90332),x90333)))
% 201.34/201.10 [9034]P107(f315(f315(x90341,x90342),x90343))+P107(f315(f303(f900(a1,a1),a51),f315(f315(f240(a1,a1),f377(x90341,x90343,x90342)),f378(x90341,x90343,x90342))))+~P107(f315(f303(f900(a1,a1),a51),f315(f315(f240(a1,a1),x90342),x90343)))
% 201.34/201.10 [9035]P107(f315(f315(x90351,x90352),x90353))+P107(f315(f303(f900(a1,a1),a210),f315(f315(f240(a1,a1),f379(x90351,x90353,x90352)),f383(x90351,x90353,x90352))))+~P107(f315(f303(f900(a1,a1),a210),f315(f315(f240(a1,a1),x90352),x90353)))
% 201.34/201.10 [9036]P107(f315(f315(x90361,x90362),x90363))+P107(f315(f303(f900(a1,a1),a171),f315(f315(f240(a1,a1),f655(x90361,x90363,x90362)),f657(x90361,x90363,x90362))))+~P107(f315(f303(f900(a1,a1),a171),f315(f315(f240(a1,a1),x90362),x90363)))
% 201.34/201.10 [9037]P107(f315(f315(x90371,x90372),x90373))+P107(f315(f303(f900(a1,a1),a122),f315(f315(f240(a1,a1),f749(x90371,x90373,x90372)),f750(x90371,x90373,x90372))))+~P107(f315(f303(f900(a1,a1),a122),f315(f315(f240(a1,a1),x90372),x90373)))
% 201.34/201.10 [9372]~P107(f315(f54(x93721),x93723))+P107(f315(f315(f317(f900(f901(x93721,a891),f901(x93721,a891))),f315(f315(f240(f901(x93721,a891),f901(x93721,a891)),x93722),x93723)),f302(x93721)))+~P107(f315(f315(f224(f901(x93721,a891)),x93722),x93723))
% 201.34/201.10 [9447]~P61(x94471,f315(x94473,f564(x94472,x94473,x94471)))+P61(x94471,f315(f315(f33(x94472,f901(x94471,f901(x94471,a891))),f230(f901(x94472,a891))),x94473))+~E(f315(f315(f90(f901(x94471,a891)),f237(x94471,x94471,f315(x94473,f563(x94472,x94473,x94471)))),f238(x94471,x94471,f315(x94473,f565(x94472,x94473,x94471)))),f177(f901(x94471,a891)))
% 201.34/201.10 [9657]P54(x96571,x96572,x96573)+P107(f315(f315(f317(f900(x96571,x96571)),f555(x96573,x96572,x96571)),x96573))+~P107(f315(f315(f317(f900(x96571,x96571)),f315(f315(f240(x96571,x96571),f554(x96573,x96572,x96571)),f554(x96573,x96572,x96571))),x96573))
% 201.34/201.10 [10246]P54(x102461,x102462,x102463)+~P107(f315(f315(f245(x102461,x102461,a891),f315(f315(f9(x102461,f901(x102461,a891),f901(x102461,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x102461,a891),f901(x102461,a891)),x102461),f10(a891,a891,x102461)),f315(f315(f10(a891,f901(a891,a891),x102461),a313),f315(f315(f9(x102461,f901(x102461,a891),a891),f317(x102461)),x102462)))),f315(f315(f9(x102461,f901(x102461,a891),a891),f317(x102461)),x102462))),f555(x102463,x102462,x102461)))+~P107(f315(f315(f317(f900(x102461,x102461)),f315(f315(f240(x102461,x102461),f554(x102463,x102462,x102461)),f554(x102463,x102462,x102461))),x102463))
% 201.34/201.10 [5723]~P62(x57232)+E(x57231,f2(x57232))+E(f315(f315(f29(x57232),f315(f315(f74(x57232),x57233),x57231)),x57231),x57233)
% 201.34/201.10 [5724]~P62(x57242)+E(x57241,f2(x57242))+E(f315(f315(f29(x57242),f315(f315(f74(x57242),x57241),x57243)),x57241),x57243)
% 201.34/201.10 [6385]~P62(x63851)+E(f315(f315(f74(x63851),f315(f315(f29(x63851),x63852),x63853)),x63853),x63852)+~P107(f315(f315(f275(x63851),x63853),x63852))
% 201.34/201.10 [6550]~P76(x65501)+~E(f315(x65502,f2(a893)),f2(x65501))+E(f315(f315(f8(a893,x65501),x65502),f315(f290(a893,f315(a101,f2(a893))),x65503)),f315(f315(f8(a893,x65501),x65502),f315(f290(a893,f2(a893)),x65503)))
% 201.34/201.10 [6687]~P62(x66872)+E(x66871,f2(x66872))+E(f315(f315(f29(x66872),f315(f315(f73(x66872),x66873),x66871)),x66871),f315(f315(f73(x66872),f315(f315(f29(x66872),x66873),x66871)),f71(x66872)))
% 201.34/201.10 [6688]~P62(x66882)+E(x66881,f2(x66882))+E(f315(f315(f29(x66882),f315(f315(f73(x66882),x66881),x66883)),x66881),f315(f315(f73(x66882),f315(f315(f29(x66882),x66883),x66881)),f71(x66882)))
% 201.34/201.10 [6913]~P107(f315(x69133,f2(a1)))+P107(f315(f315(f223(a893),x69131),x69132))+P107(f315(x69133,f315(f89(a1),f315(f315(f3(a893),x69132),x69131))))
% 201.34/201.10 [7018]P107(f315(f315(f224(a893),x70182),x70181))+P107(f315(f315(f223(a893),x70181),x70182))+P107(f315(x70183,f315(f89(a1),f315(f315(f3(a893),x70182),x70181))))
% 201.34/201.10 [7093]E(f315(f315(f73(a893),f315(f92(a893),x70931)),f315(f315(f73(a893),f315(f92(a893),x70932)),x70933)),f315(f315(f73(a893),f315(f92(a893),x70931)),x70933))+P107(f315(a182,f315(f92(a1),x70931)))+~P107(f315(a182,f315(f92(a1),x70932)))
% 201.34/201.10 [7173]~E(x71732,f315(f315(f29(a893),x71733),x71731))+~P107(f315(f315(f224(a893),f2(a893)),x71731))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x71731),x71732)),x71733))
% 201.34/201.10 [7289]~P107(f315(f54(x72891),x72893))+~P107(f315(f54(x72891),x72892))+P107(f315(f54(x72891),f315(f315(f99(f901(x72891,a891)),x72892),x72893)))
% 201.34/201.10 [7339]~P40(x73391,x73393)+~P40(x73391,x73392)+P40(x73391,f315(f315(f90(f901(f900(x73391,x73391),a891)),x73392),x73393))
% 201.34/201.10 [7340]~P53(x73401,x73403)+~P53(x73401,x73402)+P53(x73401,f315(f315(f99(f901(f900(x73401,x73401),a891)),x73402),x73403))
% 201.34/201.10 [7341]~P53(x73411,x73413)+~P53(x73411,x73412)+P53(x73411,f315(f315(f90(f901(f900(x73411,x73411),a891)),x73412),x73413))
% 201.34/201.10 [7585]~P110(x75851)+~P107(f315(f54(x75851),x75852))+E(f128(x75851,f315(f315(f3(f901(x75851,a891)),x75852),f315(f315(f297(x75851),x75853),f177(f901(x75851,a891))))),f159(x75851,x75853,f128(x75851,x75852)))
% 201.34/201.10 [7648]P107(f315(x76481,f2(a1)))+~P107(f315(f315(f224(a893),x76482),x76483))+~P107(f315(x76481,f315(f89(a1),f315(f315(f3(a893),x76482),x76483))))
% 201.34/201.10 [7666]~P107(f315(f54(x76661),x76662))+E(f315(f28(x76661),f315(f315(f3(f901(x76661,a891)),x76662),f315(f315(f297(x76661),x76663),f177(f901(x76661,a891))))),f315(f28(x76661),x76662))+P107(f315(f315(f317(x76661),x76663),x76662))
% 201.34/201.10 [7799]~P112(x77991)+~P107(f315(f315(f224(x77991),f71(x77991)),x77992))+P107(f315(f315(f224(x77991),f71(x77991)),f315(f315(f74(x77991),x77992),f315(f315(f232(x77991),x77992),x77993))))
% 201.34/201.10 [7842]~P107(f315(f54(x78421),x78423))+E(f315(f315(f3(a893),f315(f28(x78421),x78422)),f315(f28(x78421),x78423)),f315(f28(x78421),f315(f315(f3(f901(x78421,a891)),x78422),x78423)))+~P107(f315(f315(f223(f901(x78421,a891)),x78423),x78422))
% 201.34/201.10 [7899]~P107(f315(f315(f223(a893),x78992),x78993))+~P107(f315(f315(f223(a893),x78991),f315(f315(f3(a893),x78993),x78992)))+P107(f315(f315(f223(a893),f315(f315(f73(a893),x78991),x78992)),x78993))
% 201.34/201.10 [7953]P107(f315(f54(x79531),x79532))+~P107(f315(f54(x79531),x79533))+~P107(f315(f54(x79531),f315(f315(f3(f901(x79531,a891)),x79532),x79533)))
% 201.34/201.10 [7959]~P107(f315(f54(x79591),x79592))+E(f315(f28(x79591),f315(f315(f3(f901(x79591,a891)),x79592),f315(f315(f297(x79591),x79593),f177(f901(x79591,a891))))),f315(f315(f3(a893),f315(f28(x79591),x79592)),f71(a893)))+~P107(f315(f315(f317(x79591),x79593),x79592))
% 201.34/201.10 [8035]P61(x80351,x80352)+~P61(x80351,x80353)+~P107(f315(f315(f223(f901(x80351,f901(x80351,a891))),x80352),x80353))
% 201.34/201.10 [8075]~P107(f315(f315(f223(a893),x80753),x80752))+P107(f315(f315(f223(a893),x80751),f315(f315(f3(a893),x80752),x80753)))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),x80751),x80753)),x80752))
% 201.34/201.10 [8093]P39(x80931,x80932)+~P39(x80931,x80933)+~P107(f315(f315(f223(f901(f900(x80931,x80931),a891)),x80932),x80933))
% 201.34/201.10 [8094]P59(x80941,x80942)+~P59(x80941,x80943)+~P107(f315(f315(f223(f901(f900(x80941,x80941),a891)),x80942),x80943))
% 201.34/201.10 [8095]P41(x80951,x80952)+~P41(x80951,x80953)+~P107(f315(f315(f223(f901(f900(x80951,x80951),a891)),x80952),x80953))
% 201.34/201.10 [8329]~P112(x83291)+~P107(f315(f315(f224(x83291),f71(x83291)),x83292))+P107(f315(f315(f224(x83291),f315(f315(f232(x83291),x83292),x83293)),f315(f315(f74(x83291),x83292),f315(f315(f232(x83291),x83292),x83293))))
% 201.34/201.10 [8419]~P107(f315(x84191,f2(a1)))+~P107(f315(x84191,f315(f315(f3(a1),f315(f89(a1),x84192)),f315(f89(a1),x84193))))+P107(f315(x84191,f315(f89(a1),f315(f315(f3(a893),x84192),x84193))))
% 201.34/201.10 [8434]~P107(f315(f315(f223(a893),x84343),x84342))+P107(f315(x84341,f315(f315(f3(a1),f315(f89(a1),x84342)),f315(f89(a1),x84343))))+~P107(f315(x84341,f315(f89(a1),f315(f315(f3(a893),x84342),x84343))))
% 201.34/201.10 [8454]P107(f315(f315(f224(a893),x84541),x84542))+~P107(f315(x84543,f315(f315(f3(a1),f315(f89(a1),x84541)),f315(f89(a1),x84542))))+P107(f315(x84543,f315(f89(a1),f315(f315(f3(a893),x84541),x84542))))
% 201.34/201.10 [8507]~P127(x85072)+E(x85071,f2(x85072))+P107(f315(f315(f224(x85072),f2(x85072)),f315(f315(f73(x85072),f315(f315(f74(x85072),x85073),x85073)),f315(f315(f74(x85072),x85071),x85071))))
% 201.34/201.10 [8508]~P127(x85082)+E(x85081,f2(x85082))+P107(f315(f315(f224(x85082),f2(x85082)),f315(f315(f73(x85082),f315(f315(f74(x85082),x85081),x85081)),f315(f315(f74(x85082),x85083),x85083))))
% 201.34/201.10 [8608]~P107(f315(f315(f224(a893),f2(a893)),x86081))+~P107(f315(f315(f224(a1),x86082),x86083))+P107(f315(f315(f224(a1),f315(f315(f74(a1),f315(f89(a1),x86081)),x86082)),f315(f315(f74(a1),f315(f89(a1),x86081)),x86083)))
% 201.34/201.10 [8664]E(f315(f315(f90(f901(x86641,a891)),x86642),f30(f901(x86641,a891),x86643)),f177(f901(x86641,a891)))+P107(f315(f315(f317(f901(x86641,a891)),x86642),x86643))+P107(f315(f315(f317(f901(x86641,a891)),f731(x86643,x86642,x86641)),f315(f315(f297(f901(x86641,a891)),x86642),x86643)))
% 201.34/201.10 [8665]E(f315(f315(f90(f901(x86651,a891)),x86652),f30(f901(x86651,a891),x86653)),f177(f901(x86651,a891)))+P107(f315(f315(f317(f901(x86651,a891)),x86652),x86653))+P107(f315(f315(f317(f901(x86651,a891)),f744(x86653,x86652,x86651)),f315(f315(f297(f901(x86651,a891)),x86652),x86653)))
% 201.34/201.10 [8694]E(x86941,x86942)+~E(f315(f178(f894(x86943)),x86941),f315(f178(f894(x86943)),x86942))+P107(f315(f315(f317(f900(x86943,x86943)),f641(x86943,x86941,x86942)),f315(f161(f900(x86943,x86943)),f315(f315(f170(x86943,x86943),x86942),x86941))))
% 201.34/201.10 [8945]E(f295(x89451,x89452),f295(x89451,x89453))+~P107(f315(f315(f223(f901(f900(x89451,x89451),a891)),x89453),f295(x89451,x89452)))+~P107(f315(f315(f223(f901(f900(x89451,x89451),a891)),x89452),x89453))
% 201.34/201.10 [9012]~P54(x90121,f230(f901(x90121,a891)),x90123)+P107(f315(f315(f223(f901(f900(f894(x90121),f894(x90121)),a891)),f146(x90121,x90122)),f147(x90121,x90123)))+~P107(f315(f315(f223(f901(f900(x90121,x90121),a891)),x90122),x90123))
% 201.34/201.10 [9207]P39(x92071,x92072)+~P107(f315(f315(f317(x92071),x92073),f578(x92072,x92071)))+P107(f315(f315(f317(f900(x92071,x92071)),f315(f315(f240(x92071,x92071),f592(x92072,x92071,x92073)),x92073)),x92072))
% 201.34/201.10 [9242]~P107(f315(f54(x92421),x92422))+P107(f315(f54(f901(x92421,a891)),f315(f315(f53(x92421),x92422),x92423)))+~P107(f315(f315(f223(f901(f900(x92421,x92421),a891)),x92423),f315(f315(f242(x92421,x92421),x92422),f315(f18(f901(x92421,a891),x92421),x92422))))
% 201.34/201.10 [9278]P54(x92781,x92782,x92783)+P107(f315(f315(f317(x92781),f519(x92783,x92782,x92781)),x92782))+~P107(f315(f315(f223(f901(f900(x92781,x92781),a891)),x92783),f315(f315(f242(x92781,x92781),x92782),f315(f18(f901(x92781,a891),x92781),x92782))))
% 201.34/201.10 [9279]P54(x92791,x92792,x92793)+P107(f315(f315(f317(x92791),f534(x92792,x92793,x92791)),x92792))+~P107(f315(f315(f223(f901(f900(x92791,x92791),a891)),x92793),f315(f315(f242(x92791,x92791),x92792),f315(f18(f901(x92791,a891),x92791),x92792))))
% 201.34/201.10 [9314]~P68(x93141)+~P107(f315(f315(f224(x93141),x93142),x93143))+P107(f315(f315(f224(x93141),f315(f315(f279(x93141),f315(f315(f73(x93141),x93142),x93143)),f315(f315(f73(x93141),f71(x93141)),f71(x93141)))),x93143))
% 201.34/201.10 [9345]~P67(x93451)+P107(f315(f315(f223(x93451),x93452),x93453))+~P107(f315(f315(f223(x93451),f315(f315(f74(x93451),f865(x93453,x93452,x93451)),x93452)),x93453))
% 201.34/201.10 [9482]E(f315(f178(f894(f894(x94821))),f315(f125(f894(x94821),f315(f315(f10(a893,a891,f894(x94821)),f315(f224(a893),x94822)),f178(f894(x94821)))),f168(x94821,x94823))),f315(f178(f894(x94821)),f315(f315(f153(f894(x94821)),x94823),x94822)))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x94821),a893),f178(f894(x94821))),x94823)))+~P107(f315(f315(f224(a893),x94822),f315(f178(f894(f894(x94821))),x94823)))
% 201.34/201.10 [9605]~P39(x96051,x96052)+P28(x96051,f315(f315(f240(f901(f900(x96051,x96051),a891),f901(f900(x96051,x96051),a891)),x96052),x96053))+~P107(f315(f315(f223(f901(f900(x96051,x96051),a891)),f315(f315(f277(x96051,x96051,x96051),x96052),x96053)),x96052))
% 201.34/201.10 [9610]E(f315(f315(f143(f894(x96101),x96101),f315(f315(f9(f894(x96101),a893,x96101),f153(x96101)),x96102)),f315(f125(f894(x96101),f315(f315(f10(a893,a891,f894(x96101)),f315(f224(a893),x96102)),f178(f894(x96101)))),f168(x96101,x96103))),f315(f315(f153(f894(x96101)),x96103),x96102))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x96101),a893),f178(f894(x96101))),x96103)))+~P107(f315(f315(f224(a893),x96102),f315(f178(f894(f894(x96101))),x96103)))
% 201.34/201.10 [9745]P54(x97451,x97452,x97453)+~P107(f315(f315(f317(f900(x97451,x97451)),f315(f315(f240(x97451,x97451),f519(x97453,x97452,x97451)),f519(x97453,x97452,x97451))),x97453))+~P107(f315(f315(f223(f901(f900(x97451,x97451),a891)),x97453),f315(f315(f242(x97451,x97451),x97452),f315(f18(f901(x97451,a891),x97451),x97452))))
% 201.34/201.10 [9746]P54(x97461,x97462,x97463)+~P107(f315(f315(f317(f900(x97461,x97461)),f315(f315(f240(x97461,x97461),f534(x97462,x97463,x97461)),f534(x97462,x97463,x97461))),x97463))+~P107(f315(f315(f223(f901(f900(x97461,x97461),a891)),x97463),f315(f315(f242(x97461,x97461),x97462),f315(f18(f901(x97461,a891),x97461),x97462))))
% 201.34/201.10 [9914]~P144(x99141)+~P126(x99141)+E(f315(f315(f279(x99141),f315(f91(x99141),f315(f315(f66(f900(a1,a1),a1,x99142,f239(a1,a1)),f201(x99142)),x99143))),f315(f91(x99141),f315(f315(f66(f900(a1,a1),a1,x99142,f244(a1,a1)),f201(x99142)),x99143))),f211(x99142,x99141,x99143))
% 201.34/201.10 [10117]~E(x101173,f2(a893))+~E(f315(f178(f894(x101171)),f315(f315(f153(f894(x101171)),x101172),f690(x101173,x101171,x101172))),x101173)+E(f315(f315(f143(a893,f894(x101171)),f315(f315(f9(a893,f894(a893),f894(x101171)),f315(f315(f10(f901(a893,x101171),f901(f894(a893),f894(x101171)),a893),f143(a893,x101171)),f315(f9(a893,a893,x101171),f315(f315(f10(f894(x101171),f901(a893,x101171),a893),f153(x101171)),f315(f153(f894(x101171)),x101172))))),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(f894(x101171))),x101172))))),f128(a893,f315(f290(a893,f2(a893)),x101173))),f168(x101171,x101172))
% 201.34/201.10 [10118]E(x101181,f102(f894(x101182)))+~E(f315(f178(f894(x101182)),f315(f315(f153(f894(x101182)),x101181),f690(x101183,x101182,x101181))),x101183)+E(f315(f315(f143(a893,f894(x101182)),f315(f315(f9(a893,f894(a893),f894(x101182)),f315(f315(f10(f901(a893,x101182),f901(f894(a893),f894(x101182)),a893),f143(a893,x101182)),f315(f9(a893,a893,x101182),f315(f315(f10(f894(x101182),f901(a893,x101182),a893),f153(x101182)),f315(f153(f894(x101182)),x101181))))),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(f894(x101182))),x101181))))),f128(a893,f315(f290(a893,f2(a893)),x101183))),f168(x101182,x101181))
% 201.34/201.10 [10119]~E(x101193,f2(a893))+E(f315(f315(f143(a893,f894(x101191)),f315(f315(f9(a893,f894(a893),f894(x101191)),f315(f315(f10(f901(a893,x101191),f901(f894(a893),f894(x101191)),a893),f143(a893,x101191)),f315(f9(a893,a893,x101191),f315(f315(f10(f894(x101191),f901(a893,x101191),a893),f153(x101191)),f315(f153(f894(x101191)),x101192))))),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(f894(x101191))),x101192))))),f128(a893,f315(f290(a893,f2(a893)),x101193))),f168(x101191,x101192))+P107(f315(f315(f224(a893),f690(x101193,x101191,x101192)),f315(f178(f894(f894(x101191))),x101192)))
% 201.34/201.10 [10120]E(x101201,f102(f894(x101202)))+E(f315(f315(f143(a893,f894(x101202)),f315(f315(f9(a893,f894(a893),f894(x101202)),f315(f315(f10(f901(a893,x101202),f901(f894(a893),f894(x101202)),a893),f143(a893,x101202)),f315(f9(a893,a893,x101202),f315(f315(f10(f894(x101202),f901(a893,x101202),a893),f153(x101202)),f315(f153(f894(x101202)),x101201))))),f128(a893,f315(f290(a893,f2(a893)),f315(f178(f894(f894(x101202))),x101201))))),f128(a893,f315(f290(a893,f2(a893)),x101203))),f168(x101202,x101201))+P107(f315(f315(f224(a893),f690(x101203,x101202,x101201)),f315(f178(f894(f894(x101202))),x101201)))
% 201.34/201.10 [7839]E(f315(f315(f73(a893),f315(f92(a893),x78391)),f315(f315(f73(a893),f315(f92(a893),x78392)),x78393)),f315(f315(f73(a893),f315(f92(a893),f315(f315(f73(a1),x78391),x78392))),x78393))+P107(f315(a182,f315(f92(a1),x78391)))+P107(f315(a182,f315(f92(a1),x78392)))
% 201.34/201.10 [8600]~P107(f315(f54(x86001),x86002))+~P107(f315(f315(f317(x86001),x86003),x86002))+E(f315(a101,f315(f28(x86001),f315(f315(f3(f901(x86001,a891)),x86002),f315(f315(f297(x86001),x86003),f177(f901(x86001,a891)))))),f315(f28(x86001),x86002))
% 201.34/201.10 [8616]~P107(f315(f54(x86161),x86162))+~P107(f315(f315(f317(x86161),x86163),x86162))+E(f315(f315(f73(a893),f71(a893)),f315(f28(x86161),f315(f315(f3(f901(x86161,a891)),x86162),f315(f315(f297(x86161),x86163),f177(f901(x86161,a891)))))),f315(f28(x86161),x86162))
% 201.34/201.10 [8703]~P110(x87031)+~P107(f315(f54(x87031),x87033))+E(f315(f315(f137(x87031,x87031,f7(x87031)),x87032),f128(x87031,f315(f315(f3(f901(x87031,a891)),x87033),f315(f315(f297(x87031),x87032),f177(f901(x87031,a891)))))),f128(x87031,f315(f315(f297(x87031),x87032),x87033)))
% 201.34/201.10 [8870]~P107(f315(f54(x88701),x88703))+~P107(f315(f54(x88701),x88702))+E(f315(f315(f73(a893),f315(f28(x88701),f315(f315(f99(f901(x88701,a891)),x88702),x88703))),f315(f28(x88701),f315(f315(f90(f901(x88701,a891)),x88702),x88703))),f315(f315(f73(a893),f315(f28(x88701),x88702)),f315(f28(x88701),x88703)))
% 201.34/201.10 [10066]~P26(x100661,f901(f901(x100661,a891),a891),f315(f315(f9(x100661,f901(f900(x100661,x100661),a891),f901(f901(x100661,a891),a891)),f315(f315(f10(f901(x100661,a891),f901(f901(f900(x100661,x100661),a891),f901(f901(x100661,a891),a891)),x100661),f53(x100661)),f315(f315(f9(x100661,f901(x100661,a891),f901(x100661,a891)),f297(x100661)),f177(f901(x100661,a891))))),x100663),x100662)+~P107(f315(f54(x100661),x100662))+E(f315(f28(f901(x100661,a891)),f315(f315(f53(x100661),x100662),x100663)),f315(f28(x100661),x100662))
% 201.34/201.10 [8107]~P97(x81071)+P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x81073)))+E(f315(f315(f232(x81071),x81072),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x81073),x81073)),a86))),f71(x81071))
% 201.34/201.10 [9587]~P97(x95871)+~P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),x95873)))+E(f315(f315(f232(x95871),x95872),f315(f92(a893),f315(f315(f3(a1),f315(f315(f73(a1),x95873),x95873)),a86))),f315(f315(f79(x95871,x95871),f315(f315(f232(x95871),x95872),f315(f92(a893),x95873))),f315(f315(f20(x95871,x95871,x95871),f315(f315(f10(x95871,f901(x95871,x95871),x95871),f74(x95871)),f315(f74(x95871),x95872))),f7(x95871))))
% 201.34/201.10 [9976]~P107(f315(f126(x99761),x99763))+~P107(f315(f315(f317(x99761),x99762),f315(f161(x99761),x99763)))+E(f315(f315(f127(x99761),f315(f178(f894(x99761)),f166(x99761,f315(f315(f10(a891,a891,x99761),a310),f315(f315(f9(x99761,x99761,a891),a312),x99762)),f315(f157(x99761),x99763)))),f315(f157(x99761),x99763)),f315(f315(f140(x99761),x99762),f315(f157(x99761),f166(x99761,f315(f315(f10(a891,a891,x99761),a310),f315(f315(f9(x99761,x99761,a891),a312),x99762)),x99763))))
% 201.34/201.10 [10036]P107(f315(f315(f223(f901(f900(x100361,x100361),a891)),f295(x100361,x100362)),x100363))+~P107(f315(f315(f223(f901(f900(x100361,x100361),a891)),f295(x100361,f177(f901(f900(x100361,x100361),a891)))),x100363))+~P107(f315(f315(f223(f901(f900(x100361,x100361),a891)),f315(f315(f277(x100361,x100361,x100361),f315(f315(f90(f901(f900(x100361,x100361),a891)),f295(x100361,x100362)),x100363)),x100362)),x100363))
% 201.34/201.10 [9894]~P107(f315(f54(x98941),f315(f250(x98941),x98943)))+~P107(f315(f54(x98941),f315(f250(x98941),x98942)))+P107(f315(f54(x98941),f315(f250(x98941),f315(f315(f20(x98941,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98941),a314),x98942)),x98943))))
% 201.34/201.10 [10181]P107(f315(f315(f223(f901(f900(x101811,x101811),a891)),f315(f315(f277(x101811,x101811,x101811),x101812),f295(x101811,x101812))),x101813))+~P107(f315(f315(f223(f901(f900(x101811,x101811),a891)),x101812),x101813))+~P107(f315(f315(f223(f901(f900(x101811,x101811),a891)),f315(f315(f277(x101811,x101811,x101811),f315(f315(f90(f901(f900(x101811,x101811),a891)),f315(f315(f277(x101811,x101811,x101811),x101812),f295(x101811,x101812))),x101813)),x101812)),x101813))
% 201.34/201.10 [10133]~P120(x101332)+E(x101331,f2(x101332))+~E(f315(f315(f73(x101332),f315(f315(f232(x101332),x101333),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x101332),x101331),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f2(x101332))
% 201.34/201.10 [10134]~P120(x101342)+E(x101341,f2(x101342))+~E(f315(f315(f73(x101342),f315(f315(f232(x101342),x101341),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x101342),x101343),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f2(x101342))
% 201.34/201.10 [10139]~P107(f315(f126(x101391),x101393))+~P107(f315(f315(f317(x101391),x101392),f315(f161(x101391),x101393)))+E(f315(f157(x101391),f315(f160(x101391),f315(f315(f127(x101391),f315(f178(f894(x101391)),f166(x101391,f315(f315(f10(a891,a891,x101391),a310),f315(f315(f9(x101391,x101391,a891),a312),x101392)),x101393))),x101393))),f166(x101391,f315(f315(f10(a891,a891,x101391),a310),f315(f315(f9(x101391,x101391,a891),a312),x101392)),f315(f157(x101391),x101393)))
% 201.34/201.10 [10226]~P120(x102262)+E(x102261,f2(x102262))+P107(f315(f315(f224(x102262),f2(x102262)),f315(f315(f73(x102262),f315(f315(f232(x102262),x102263),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102262),x102261),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))))
% 201.34/201.10 [10227]~P120(x102272)+E(x102271,f2(x102272))+P107(f315(f315(f224(x102272),f2(x102272)),f315(f315(f73(x102272),f315(f315(f232(x102272),x102271),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102272),x102273),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))))
% 201.34/201.10 [10288]~P120(x102881)+P107(f315(f315(f223(x102881),f2(x102881)),x102882))+~P107(f315(f315(f223(x102881),f2(x102881)),f315(f315(f232(x102881),x102882),f315(a101,f315(f315(f74(a893),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),x102883)))))
% 201.34/201.10 [5554]~P25(x55541,x55544,x55543)+P25(x55541,x55542,x55543)+~P25(x55541,x55542,x55544)
% 201.34/201.10 [5019]~E(x50192,f83(x50193,x50191))+P107(f315(x50191,x50192))+~P107(f315(x50191,x50194))
% 201.34/201.10 [5266]E(f61(x52663,x52662,x52664),x52662)+E(x52661,f716(x52662,x52663,x52664))+~P107(f315(x52664,x52661))
% 201.34/201.10 [6609]E(f61(x66091,x66092,x66093),f78(x66091,x66093))+~E(f752(x66092,x66091,x66093,x66094),x66094)+~P107(f315(x66093,x66094))
% 201.34/201.10 [6823]~P39(x68232,x68234)+~P39(x68231,x68233)+P39(f900(x68231,x68232),f307(x68231,x68232,x68233,x68234))
% 201.34/201.10 [6824]~P40(x68242,x68244)+~P40(x68241,x68243)+P40(f900(x68241,x68242),f307(x68241,x68242,x68243,x68244))
% 201.34/201.10 [5206]~P7(x52064,x52061)+~E(f315(x52061,x52062),f315(x52061,x52063))+P107(f315(f315(x52061,x52062),x52063))
% 201.34/201.10 [5366]~P7(x53664,x53661)+E(f315(x53661,x53662),f315(x53661,x53663))+~P107(f315(f315(x53661,x53662),x53663))
% 201.34/201.10 [5367]~P15(x53674,x53671)+E(f315(x53671,x53672),f315(x53671,x53673))+~P107(f315(f315(x53671,x53672),x53673))
% 201.34/201.10 [5460]~P18(x54603,x54604,x54601)+E(f315(x54601,x54602),f315(f56(x54603,x54604),x54602))+~P107(f315(f54(x54603),x54602))
% 201.34/201.10 [5461]~P9(x54613,x54614,x54611)+E(f315(x54611,x54612),f315(f56(x54613,x54614),x54612))+~P107(f315(f54(x54613),x54612))
% 201.34/201.10 [5589]~P7(x55894,x55891)+~P107(f315(f315(x55891,x55893),x55892))+P107(f315(f315(x55891,x55892),x55893))
% 201.34/201.10 [5590]~P52(x55904,x55901)+~P107(f315(f315(x55901,x55903),x55902))+P107(f315(f315(x55901,x55902),x55903))
% 201.34/201.10 [5591]~P15(x55914,x55911)+~P107(f315(f315(x55911,x55913),x55912))+P107(f315(f315(x55911,x55912),x55913))
% 201.34/201.10 [5592]~P15(x55923,x55921)+P107(f315(f315(x55921,x55922),x55922))+~P107(f315(f315(x55921,x55924),x55922))
% 201.34/201.10 [5593]~P15(x55933,x55931)+P107(f315(f315(x55931,x55932),x55932))+~P107(f315(f315(x55931,x55932),x55934))
% 201.34/201.10 [5664]E(x56641,x56642)+~E(f315(f239(x56643,x56644),x56641),f315(f239(x56643,x56644),x56642))+~E(f315(f244(x56643,x56644),x56641),f315(f244(x56643,x56644),x56642))
% 201.34/201.10 [5692]E(x56921,x56922)+~P107(f315(f41(x56923,x56924),x56922))+~P107(f315(f41(x56923,x56924),x56921))
% 201.34/201.10 [5892]~P76(x58922)+E(f220(x58921,x58922,x58923,x58924),f2(x58922))+P107(f315(f54(x58921),x58924))
% 201.34/201.10 [5940]~P7(x59403,x59402)+~P107(f315(x59401,x59404))+P107(f315(x59401,f798(x59401,x59402,x59403)))
% 201.34/201.10 [6037]~P107(f315(f303(x60371,x60372),x60374))+P107(f315(f303(x60371,x60372),x60373))+~P107(f315(f315(x60372,x60373),x60374))
% 201.34/201.10 [6860]~P31(x68601,x68603,x68604)+P107(f315(x68601,x68602))+~P107(f315(f315(f317(a1),x68602),f291(a1,x68603,x68604)))
% 201.34/201.10 [7054]~P7(x70541,x70543)+~P107(f315(x70542,x70544))+P107(f315(f315(f317(x70541),f798(x70542,x70543,x70541)),f258(x70541,x70543)))
% 201.34/201.10 [7948]E(x79481,f2(a893))+~P107(f315(x79482,x79483))+P107(f315(x79482,f747(x79482,x79483,x79481,x79484)))
% 201.34/201.10 [8030]~P110(x80302)+~P107(f315(f126(x80301),x80304))+P107(f315(f126(x80301),f139(x80301,x80302,x80303,x80304)))
% 201.34/201.10 [8074]E(f61(x80741,x80742,x80743),f78(x80741,x80743))+~P107(f315(x80743,x80744))+P107(f315(x80743,f752(x80742,x80741,x80743,x80744)))
% 201.34/201.10 [8256]~P107(f315(f54(x82562),x82564))+~P107(f315(f54(x82561),x82563))+P107(f315(f54(f899(x82561,x82562)),f301(x82561,x82562,x82563,x82564)))
% 201.34/201.10 [8257]~P107(f315(f126(x82572),x82574))+~P107(f315(f126(x82571),x82573))+P107(f315(f126(f900(x82571,x82572)),f52(x82571,x82572,x82573,x82574)))
% 201.34/201.10 [8260]P107(f315(f315(f317(f894(x82601)),f315(f315(f123(x82601),x82602),x82603)),f150(x82601,x82604)))+~P107(f315(f315(f317(f894(x82601)),x82603),f150(x82601,x82604)))+~P107(f315(f315(f317(f894(x82601)),x82602),f150(x82601,x82604)))
% 201.34/201.10 [8538]E(x85381,f2(a893))+P107(f315(x85382,x85383))+~P107(f315(x85382,f748(x85382,x85383,x85381,x85384)))
% 201.34/201.10 [8575]~P110(x85753)+~P107(f315(f126(x85751),f139(x85751,x85753,x85754,x85752)))+P107(f315(f126(x85751),x85752))
% 201.34/201.10 [8859]~P107(f315(f315(f317(f900(x88591,x88591)),f315(f315(f240(x88591,x88591),x88592),x88594)),f295(x88591,x88593)))+P107(f315(f315(f317(x88591),x88592),f304(x88591,x88593)))+~P107(f315(f315(f317(x88591),x88594),f304(x88591,x88593)))
% 201.34/201.10 [5190]~P76(x51902)+E(f315(f315(f8(x51901,x51902),x51903),x51904),f2(x51902))+P107(f315(f54(x51901),x51904))
% 201.34/201.10 [5193]~P72(x51932)+E(f315(f315(f11(x51931,x51932),x51933),x51934),f71(x51932))+P107(f315(f54(x51931),x51934))
% 201.34/201.10 [5329]~P73(x53293)+E(x53291,x53292)+~E(f315(f315(f73(x53293),x53294),x53291),f315(f315(f73(x53293),x53294),x53292))
% 201.34/201.10 [5330]~P74(x53303)+E(x53301,x53302)+~E(f315(f315(f73(x53303),x53304),x53301),f315(f315(f73(x53303),x53304),x53302))
% 201.34/201.10 [5332]~P73(x53323)+E(x53321,x53322)+~E(f315(f315(f73(x53323),x53321),x53324),f315(f315(f73(x53323),x53322),x53324))
% 201.34/201.10 [5427]~P123(x54271)+~E(x54273,f315(f315(f74(x54271),x54272),x54274))+P107(f315(f315(f275(x54271),x54272),x54273))
% 201.34/201.10 [5455]~P5(x54553)+E(x54551,f177(f901(x54552,a891)))+E(f315(f315(f32(x54552,x54553),x54551),f315(f18(x54553,x54552),x54554)),x54554)
% 201.34/201.10 [5456]~P5(x54563)+E(x54561,f177(f901(x54562,a891)))+E(f315(f315(f33(x54562,x54563),x54561),f315(f18(x54563,x54562),x54564)),x54564)
% 201.34/201.10 [5610]~E(x56104,f177(f901(x56101,a891)))+~E(x56104,f315(f315(f297(x56101),x56102),x56103))+P107(f315(f315(f317(x56101),x56102),x56103))
% 201.34/201.10 [5678]~P111(x56783)+E(x56781,x56782)+~E(f291(x56783,x56784,x56781),f315(f315(f297(x56783),x56782),f177(f901(x56783,a891))))
% 201.34/201.10 [5679]~P111(x56793)+E(x56791,x56792)+~E(f291(x56793,x56791,x56792),f315(f315(f297(x56793),x56794),f177(f901(x56793,a891))))
% 201.34/201.10 [5739]~P37(x57393,x57391,x57394)+P37(x57393,x57391,f315(f315(f140(x57393),x57392),x57394))+P107(f315(x57391,x57392))
% 201.34/201.10 [5841]~P33(x58411,x58412,x58414)+~P107(f315(x58412,x58413))+P33(x58411,x58412,f315(f315(f140(x58411),x58413),x58414))
% 201.34/201.10 [5992]P107(f315(x59921,x59922))+~P107(f315(f236(x59923,x59921),x59924))+~P107(f315(f315(f317(x59923),x59922),x59924))
% 201.34/201.10 [6001]~P33(x60011,x60012,x60014)+~P33(x60011,x60012,x60013)+P33(x60011,x60012,f315(f315(f123(x60011),x60013),x60014))
% 201.34/201.10 [6016]P35(x60161,x60162,x60163)+~P35(x60161,x60162,f315(f315(f140(x60161),x60164),x60163))+P107(f315(x60162,x60164))
% 201.34/201.10 [6017]P37(x60171,x60172,x60173)+~P37(x60171,x60172,f315(f315(f140(x60171),x60174),x60173))+P107(f315(x60172,x60174))
% 201.34/201.10 [6092]P35(x60921,x60922,x60923)+P35(x60921,x60922,x60924)+~P35(x60921,x60922,f315(f315(f123(x60921),x60924),x60923))
% 201.34/201.10 [6113]~P76(x61131)+E(f315(f315(f8(a893,x61131),x61132),f315(f290(a893,x61133),f315(a101,x61134))),f2(x61131))+~P107(f315(f315(f224(a893),x61134),x61133))
% 201.34/201.10 [6118]~P63(x61181)+~E(f38(x61181,x61182,x61183),f38(x61181,x61184,x61183))+E(f38(x61181,f315(f72(x61181),x61182),x61183),f38(x61181,f315(f72(x61181),x61184),x61183))
% 201.34/201.10 [6187]P107(f315(x61871,x61872))+~E(f315(f125(x61873,x61871),x61874),x61874)+~P107(f315(f315(f317(x61873),x61872),f315(f161(x61873),x61874)))
% 201.34/201.10 [6207]~E(f315(f315(f73(a893),x62073),x62072),f315(f315(f73(a893),x62071),x62074))+~P107(f315(f315(f224(a893),x62073),x62074))+P107(f315(f315(f224(a893),x62071),x62072))
% 201.34/201.10 [6213]P35(x62131,x62132,x62133)+~P107(f315(x62132,x62134))+~P107(f315(f315(f317(x62131),x62134),f315(f161(x62131),x62133)))
% 201.34/201.10 [6216]~P62(x62161)+E(f38(x62161,f38(x62161,x62162,x62163),x62164),f38(x62161,x62162,x62164))+~P107(f315(f315(f275(x62161),x62164),x62163))
% 201.34/201.10 [6256]~P33(x62563,x62561,x62564)+P107(f315(x62561,x62562))+~P107(f315(f315(f317(x62563),x62562),f315(f161(x62563),x62564)))
% 201.34/201.10 [6258]~E(f315(f125(x62581,x62582),x62583),f102(x62581))+~P107(f315(x62582,x62584))+~P107(f315(f315(f317(x62581),x62584),f315(f161(x62581),x62583)))
% 201.34/201.10 [6259]~E(f166(x62593,x62591,x62594),x62594)+P107(f315(x62591,x62592))+~P107(f315(f315(f317(x62593),x62592),f315(f161(x62593),x62594)))
% 201.34/201.10 [6286]~E(x62864,f177(f901(x62862,a891)))+~E(x62863,f177(f901(x62861,a891)))+E(f301(x62861,x62862,x62863,x62864),f177(f901(f899(x62861,x62862),a891)))
% 201.34/201.10 [6437]P107(f315(x64371,x64372))+~P107(f315(f149(x64373,x64371),x64374))+~P107(f315(f315(f317(x64373),x64372),f315(f161(x64373),x64374)))
% 201.34/201.10 [6578]~P32(x65781,x65783,x65784)+P107(f315(x65781,x65782))+~P107(f315(f315(f317(a893),x65782),f315(f290(a893,x65783),x65784)))
% 201.34/201.10 [6717]~P76(x67171)+E(f315(f315(f8(a893,x67171),x67172),f291(a893,x67173,f315(a101,x67174))),f2(x67171))+~P107(f315(f315(f224(a893),f315(a101,x67174)),x67173))
% 201.34/201.10 [6863]~P110(x68631)+E(f315(f315(f3(f901(x68631,a891)),f315(f290(x68631,x68632),x68633)),f315(f290(x68631,x68632),x68634)),f315(f290(x68631,x68634),x68633))+~P107(f315(f315(f223(x68631),x68632),x68634))
% 201.34/201.10 [6934]~E(x69343,x69344)+E(x69341,f2(a893))+P107(f315(f315(f317(x69342),x69343),f315(f161(x69342),f158(x69342,x69341,x69344))))
% 201.34/201.10 [7219]~P107(f315(f315(f317(f894(x72191)),x72194),f150(x72191,x72193)))+P107(f315(f315(f317(x72191),x72192),x72193))+~P107(f315(f315(f317(x72191),x72192),f315(f161(x72191),x72194)))
% 201.34/201.10 [7226]~P39(x72261,x72262)+P107(f315(f315(f317(x72261),f579(x72262,x72261,x72263)),x72263))+~P107(f315(f315(f317(x72261),x72264),x72263))
% 201.34/201.10 [7283]~P76(x72831)+E(f315(f315(f315(f58(x72831,x72832,f73(x72831)),x72833),f2(x72831)),x72834),f315(f315(f8(x72832,x72831),x72833),x72834))+~P107(f315(f54(x72832),x72834))
% 201.34/201.10 [7285]~P72(x72851)+E(f315(f315(f315(f58(x72851,x72852,f74(x72851)),x72853),f71(x72851)),x72854),f315(f315(f11(x72852,x72851),x72853),x72854))+~P107(f315(f54(x72852),x72854))
% 201.34/201.10 [7314]P26(x73141,x73142,x73143,x73144)+~E(f315(f28(x73142),f315(f298(x73141,x73142,x73143),x73144)),f315(f28(x73141),x73144))+~P107(f315(f54(x73141),x73144))
% 201.34/201.10 [7508]~P76(x75081)+E(f315(f315(f73(x75081),f315(x75082,x75083)),f315(f315(f8(a893,x75081),x75082),f293(a893,x75083,x75084))),f315(f315(f8(a893,x75081),x75082),f291(a893,x75083,x75084)))+~P107(f315(f315(f223(a893),x75083),x75084))
% 201.34/201.10 [7517]~P76(x75171)+~P26(x75172,x75171,x75173,x75174)+E(f315(f315(f8(x75171,x75171),f25(x75171)),f315(f298(x75172,x75171,x75173),x75174)),f315(f315(f8(x75172,x75171),x75173),x75174))
% 201.34/201.10 [7518]~P72(x75181)+~P26(x75182,x75181,x75183,x75184)+E(f315(f315(f11(x75181,x75181),f25(x75181)),f315(f298(x75182,x75181,x75183),x75184)),f315(f315(f11(x75182,x75181),x75183),x75184))
% 201.34/201.10 [7567]E(f315(f28(f899(x75671,x75672)),f301(x75671,x75672,x75673,x75674)),f315(f315(f73(a893),f315(f28(x75671),x75673)),f315(f28(x75672),x75674)))+~P107(f315(f54(x75672),x75674))+~P107(f315(f54(x75671),x75673))
% 201.34/201.10 [7649]E(x76491,x76492)+P107(f315(f315(f317(x76493),x76491),f315(f161(x76493),f159(x76493,x76492,x76494))))+~P107(f315(f315(f317(x76493),x76491),f315(f161(x76493),x76494)))
% 201.34/201.10 [7878]~P76(x78781)+E(f315(f315(f73(x78781),f315(f315(f8(a893,x78781),x78782),f315(f290(a893,x78783),x78784))),f315(x78782,x78784)),f315(f315(f8(a893,x78781),x78782),f315(f290(a893,x78783),f315(a101,x78784))))+P107(f315(f315(f224(a893),x78784),x78783))
% 201.34/201.10 [7928]~P26(x79281,x79282,x79283,f230(f901(x79281,a891)))+~P107(f315(f54(x79282),x79284))+P107(f315(f54(x79281),f315(f299(x79281,x79282,x79283),x79284)))
% 201.34/201.10 [8045]P107(f315(f315(f317(f894(x80451)),f315(f315(f140(x80451),x80452),x80453)),f150(x80451,x80454)))+~P107(f315(f315(f317(f894(x80451)),x80453),f150(x80451,x80454)))+~P107(f315(f315(f317(x80451),x80452),x80454))
% 201.34/201.10 [8131]~E(f315(f298(x81313,x81311,x81314),f230(f901(x81313,a891))),f230(f901(x81311,a891)))+P107(f315(f54(x81311),x81312))+~P107(f315(f54(x81313),f315(f299(x81313,x81311,x81314),x81312)))
% 201.34/201.10 [8226]~P26(x82261,x82263,x82264,x82262)+P107(f315(f54(x82261),x82262))+~P107(f315(f54(x82263),f315(f298(x82261,x82263,x82264),x82262)))
% 201.34/201.10 [8250]~E(x82502,x82503)+P107(f315(f315(f317(f900(x82501,x82501)),f315(f315(f240(x82501,x82501),x82502),x82503)),f251(x82501,x82504)))+~P107(f315(f315(f317(x82501),x82502),x82504))
% 201.34/201.10 [8283]~P76(x82831)+E(f315(f315(f73(x82831),f315(f315(f8(a893,x82831),x82832),f291(a893,x82833,x82834))),f315(x82832,f315(a101,x82834))),f315(f315(f8(a893,x82831),x82832),f291(a893,x82833,f315(a101,x82834))))+P107(f315(f315(f224(a893),f315(a101,x82834)),x82833))
% 201.34/201.10 [8343]P107(f315(x83431,x83432))+~P107(f315(x83431,f315(f315(f153(x83433),x83434),f640(x83431,x83434,x83433))))+~P107(f315(f315(f317(x83433),x83432),f315(f161(x83433),x83434)))
% 201.34/201.10 [8483]~P107(f315(f315(f317(x84831),x84832),f304(x84831,x84834)))+P107(f315(f315(f317(f894(x84831)),f315(f315(f140(x84831),x84832),x84833)),f304(f894(x84831),f146(x84831,x84834))))+~P107(f315(f315(f317(f894(x84831)),x84833),f304(f894(x84831),f146(x84831,x84834))))
% 201.34/201.10 [8498]~P26(x84982,x84983,x84984,f505(x84984,x84983,x84982,x84981))+P26(x84982,x84983,x84984,f31(f901(x84982,a891),x84981))+E(x84981,f177(f901(f901(x84982,a891),a891)))
% 201.34/201.10 [8768]E(x87681,x87682)+~P107(f315(f315(f317(f900(x87683,x87683)),f315(f315(f240(x87683,x87683),x87681),x87682)),f295(x87683,x87684)))+P107(f315(f315(f317(x87683),x87681),f315(f252(x87683,x87683),x87684)))
% 201.34/201.10 [9046]E(x90461,f2(a893))+P107(f315(x90462,x90463))+P107(f315(f315(f317(x90464),f748(x90462,x90463,x90461,x90464)),f315(f161(x90464),f158(x90464,x90461,x90463))))
% 201.34/201.10 [9058]E(x90581,f2(a893))+~P107(f315(x90583,x90584))+P107(f315(f315(f317(x90582),f747(x90583,x90584,x90581,x90582)),f315(f161(x90582),f158(x90582,x90581,x90584))))
% 201.34/201.10 [9060]~P27(x90601,x90602,x90603,f230(f901(x90601,a891)),f230(f901(x90602,a891)))+~P107(f315(f54(x90602),x90604))+P107(f315(f54(x90601),f315(f299(x90601,x90602,x90603),x90604)))
% 201.34/201.10 [9063]P26(x90632,x90633,x90634,f31(f901(x90632,a891),x90631))+E(x90631,f177(f901(f901(x90632,a891),a891)))+P107(f315(f315(f317(f901(x90632,a891)),f505(x90634,x90633,x90632,x90631)),x90631))
% 201.34/201.10 [9178]~P27(x91783,x91781,x91784,f230(f901(x91783,a891)),f230(f901(x91781,a891)))+P107(f315(f54(x91781),x91782))+~P107(f315(f54(x91783),f315(f299(x91783,x91781,x91784),x91782)))
% 201.34/201.10 [9195]P107(f315(f54(x91951),x91952))+~P107(f315(f54(x91954),f315(f298(x91951,x91954,x91953),x91952)))+P107(f315(f315(f317(x91951),f551(x91953,x91954,x91952,x91951)),x91952))
% 201.34/201.10 [9290]~P5(x92902)+E(f315(f315(f57(x92901,x92902,f315(f315(f10(x92902,f901(x92902,x92902),x92901),f90(x92902)),x92903)),f230(x92902)),x92904),f315(f315(f32(x92901,x92902),x92904),x92903))+~P107(f315(f54(x92901),x92904))
% 201.34/201.10 [9291]~P5(x92912)+E(f315(f315(f57(x92911,x92912,f315(f315(f10(x92912,f901(x92912,x92912),x92911),f99(x92912)),x92913)),f177(x92912)),x92914),f315(f315(f33(x92911,x92912),x92914),x92913))+~P107(f315(f54(x92911),x92914))
% 201.34/201.10 [9321]~P107(f315(f315(f275(a893),x93213),x93214))+P107(f315(f315(f275(a893),x93211),x93212))+P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x93211,x93212)),f278(a893,f275(a893),x93213,x93214)))
% 201.34/201.10 [9334]~P107(f315(f315(f275(a893),x93342),x93344))+~P107(f315(f315(f275(a893),x93343),x93341))+P107(f315(f315(f223(f901(a893,a891)),f278(a893,f275(a893),x93341,x93342)),f278(a893,f275(a893),x93343,x93344)))
% 201.34/201.10 [9377]P107(f315(x93771,x93772))+~P107(f315(x93771,f315(f315(f153(x93773),x93774),f678(x93772,x93771,x93774,x93773))))+~P107(f315(f315(f317(x93773),x93772),f315(f161(x93773),x93774)))
% 201.34/201.10 [9398]E(x93981,x93982)+~P107(f315(f315(f317(f900(x93983,x93983)),f315(f315(f240(x93983,x93983),x93981),x93982)),f295(x93983,x93984)))+P107(f315(f315(f317(f900(x93983,x93983)),f315(f315(f240(x93983,x93983),x93981),x93982)),f315(f315(f277(x93983,x93983,x93983),x93984),f295(x93983,x93984))))
% 201.34/201.10 [9448]~E(f315(f178(f894(x94481)),x94482),f315(f178(f894(x94481)),x94483))+~P107(f315(f315(f317(f900(f894(x94481),f894(x94481))),f315(f315(f240(f894(x94481),f894(x94481)),x94482),x94483)),f136(x94481,x94484)))+P107(f315(f315(f317(f900(f894(x94481),f894(x94481))),f315(f315(f240(f894(x94481),f894(x94481)),x94482),x94483)),f134(x94481,x94484)))
% 201.34/201.10 [9571]P107(f315(f315(f275(a893),x95711),x95712))+~P107(f315(f315(f275(a893),x95713),x95711))+~P107(f315(f315(f223(f901(a893,a891)),f278(a893,f275(a893),x95713,x95711)),f278(a893,f275(a893),x95714,x95712)))
% 201.34/201.10 [9572]P107(f315(f315(f275(a893),x95721),x95722))+~P107(f315(f315(f275(a893),x95723),x95721))+~P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x95723,x95721)),f278(a893,f275(a893),x95724,x95722)))
% 201.34/201.10 [9573]P107(f315(f315(f275(a893),x95731),x95732))+~P107(f315(f315(f275(a893),x95732),x95733))+~P107(f315(f315(f223(f901(a893,a891)),f278(a893,f275(a893),x95732,x95733)),f278(a893,f275(a893),x95731,x95734)))
% 201.34/201.10 [9574]P107(f315(f315(f275(a893),x95741),x95742))+~P107(f315(f315(f275(a893),x95742),x95743))+~P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x95742,x95743)),f278(a893,f275(a893),x95741,x95744)))
% 201.34/201.10 [9693]P33(x96931,f315(f315(f20(x96931,a891,a891),f315(f315(f10(a891,f901(a891,a891),x96931),a314),f315(f315(f10(a891,a891,x96931),a310),x96932))),f315(a312,x96933)),x96934)+~P107(f315(x96932,x96933))+~P37(x96931,x96932,f315(f315(f140(x96931),x96933),x96934))
% 201.34/201.10 [9858]~P33(x98581,f315(f315(f20(x98581,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98581),a314),f315(f315(f10(a891,a891,x98581),a310),x98582))),f315(a312,x98583)),x98584)+~P107(f315(x98582,x98583))+P37(x98581,x98582,f315(f315(f140(x98581),x98583),x98584))
% 201.34/201.10 [9862]~P37(x98621,x98622,x98624)+~P33(x98621,f315(f315(f20(x98621,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98621),a314),f315(f315(f10(a891,a891,x98621),a310),x98622))),f315(a312,x98623)),x98624)+P37(x98621,x98622,f315(f315(f140(x98621),x98623),x98624))
% 201.34/201.10 [9895]~P69(x98951)+E(f315(f315(f8(a893,x98951),f315(f315(f20(a893,x98951,x98951),f315(f315(f10(x98951,f901(x98951,x98951),a893),f3(x98951)),x98952)),f315(f315(f10(a893,x98951,a893),x98952),f315(f315(f9(a893,a893,a893),f73(a893)),f71(a893))))),f291(a893,x98953,x98954)),f2(x98951))+P107(f315(f315(f223(a893),x98953),x98954))
% 201.34/201.10 [10132]~P39(x101322,x101324)+~P26(x101322,x101321,x101323,f230(f901(x101322,a891)))+P39(x101321,f315(f298(f900(x101322,x101322),f900(x101321,x101321),f246(x101322,x101321,x101322,x101321,x101323,x101323)),x101324))
% 201.34/201.10 [10323]~E(f315(f178(f894(x103231)),x103233),f315(f178(f894(x103231)),x103232))+P107(f315(f315(f317(f900(f894(x103231),f894(x103231))),f315(f315(f240(f894(x103231),f894(x103231)),x103232),x103233)),f147(x103231,x103234)))+~P107(f315(f315(f245(x103231,x103231,a891),f315(f315(f9(x103231,f901(f900(x103231,x103231),a891),f901(x103231,a891)),f315(f315(f10(f901(x103231,f901(f901(f900(x103231,x103231),a891),a891)),f901(f901(f900(x103231,x103231),a891),f901(x103231,a891)),x103231),f9(x103231,f901(f900(x103231,x103231),a891),a891)),f315(f315(f10(f901(x103231,f900(x103231,x103231)),f901(x103231,f901(f901(f900(x103231,x103231),a891),a891)),x103231),f315(f10(f900(x103231,x103231),f901(f901(f900(x103231,x103231),a891),a891),x103231),f317(f900(x103231,x103231)))),f240(x103231,x103231)))),x103234)),f642(x103234,x103233,x103232,x103231)))
% 201.34/201.10 [6168]~P62(x61681)+~E(x61682,f2(x61681))+E(f315(f315(f29(x61681),f315(f315(f74(x61681),x61682),x61683)),f315(f315(f74(x61681),x61682),x61684)),f2(x61681))
% 201.34/201.10 [6210]E(x62101,f102(x62102))+E(x62103,f315(f315(f3(a893),f315(f178(f894(x62102)),x62101)),f71(a893)))+E(f133(x62102,f315(f315(f148(x62102,x62101),x62103),x62104)),f133(x62102,x62101))
% 201.34/201.10 [6247]E(x62471,x62472)+P107(f315(x62473,x62472))+~P107(f315(f315(f315(f297(x62474),x62471),x62473),x62472))
% 201.34/201.10 [6263]~P76(x62631)+~P107(f315(f126(x62632),x62634))+E(f315(f154(x62631),f315(f315(f143(x62632,x62631),x62633),x62634)),f315(f315(f8(x62632,x62631),x62633),f315(f161(x62632),x62634)))
% 201.34/201.10 [6279]~P72(x62792)+~P107(f315(f54(x62791),x62794))+E(f315(f315(f11(x62791,x62792),f315(f18(x62792,x62791),x62793)),x62794),f315(f315(f232(x62792),x62793),f315(f28(x62791),x62794)))
% 201.34/201.10 [6333]~P65(x63332)+E(x63331,f2(x63332))+E(f315(f315(f279(x63332),f315(f315(f74(x63332),x63333),x63331)),f315(f315(f74(x63332),x63334),x63331)),f315(f315(f279(x63332),x63333),x63334))
% 201.34/201.10 [6334]~P65(x63342)+E(x63341,f2(x63342))+E(f315(f315(f279(x63342),f315(f315(f74(x63342),x63341),x63343)),f315(f315(f74(x63342),x63341),x63344)),f315(f315(f279(x63342),x63343),x63344))
% 201.34/201.10 [6335]~P62(x63352)+E(x63351,f2(x63352))+E(f315(f315(f29(x63352),f315(f315(f74(x63352),x63353),x63351)),f315(f315(f74(x63352),x63354),x63351)),f315(f315(f29(x63352),x63353),x63354))
% 201.34/201.10 [6337]~P62(x63372)+E(x63371,f2(x63372))+E(f315(f315(f29(x63372),f315(f315(f74(x63372),x63371),x63373)),f315(f315(f74(x63372),x63371),x63374)),f315(f315(f29(x63372),x63373),x63374))
% 201.34/201.10 [6405]P107(f315(x64051,x64052))+~E(x64053,f315(f315(f73(a893),x64054),x64052))+~P107(f315(x64051,f315(f315(f3(a893),x64053),x64054)))
% 201.34/201.10 [6492]~P107(f315(x64922,x64923))+~P107(f315(f149(x64921,x64922),x64924))+P107(f315(f149(x64921,x64922),f315(f315(f140(x64921),x64923),x64924)))
% 201.34/201.10 [6533]E(x65331,f102(x65332))+~E(x65333,f315(f315(f3(a893),f315(f178(f894(x65332)),x65331)),f71(a893)))+E(f133(x65332,f315(f315(f148(x65332,x65331),x65333),x65334)),x65334)
% 201.34/201.10 [6556]~P2(x65561)+~P107(f315(f315(f223(x65561),x65562),x65564))+P107(f315(f315(f223(x65561),x65562),f315(f315(f99(x65561),x65563),x65564)))
% 201.34/201.10 [6557]~P2(x65571)+~P107(f315(f315(f223(x65571),x65572),x65573))+P107(f315(f315(f223(x65571),x65572),f315(f315(f99(x65571),x65573),x65574)))
% 201.34/201.10 [6559]~P110(x65591)+~P107(f315(f315(f223(x65591),x65592),x65594))+P107(f315(f315(f223(x65591),x65592),f315(f315(f222(x65591),x65593),x65594)))
% 201.34/201.10 [6561]~P110(x65611)+~P107(f315(f315(f223(x65611),x65612),x65613))+P107(f315(f315(f223(x65611),x65612),f315(f315(f222(x65611),x65613),x65614)))
% 201.34/201.10 [6562]~P2(x65621)+~P107(f315(f315(f224(x65621),x65622),x65624))+P107(f315(f315(f224(x65621),x65622),f315(f315(f99(x65621),x65623),x65624)))
% 201.34/201.10 [6563]~P2(x65631)+~P107(f315(f315(f224(x65631),x65632),x65633))+P107(f315(f315(f224(x65631),x65632),f315(f315(f99(x65631),x65633),x65634)))
% 201.34/201.10 [6565]~P110(x65651)+~P107(f315(f315(f224(x65651),x65652),x65654))+P107(f315(f315(f224(x65651),x65652),f315(f315(f222(x65651),x65653),x65654)))
% 201.34/201.10 [6567]~P110(x65671)+~P107(f315(f315(f224(x65671),x65672),x65673))+P107(f315(f315(f224(x65671),x65672),f315(f315(f222(x65671),x65673),x65674)))
% 201.34/201.10 [6568]~P113(x65681)+~P107(f315(f315(f275(x65681),x65682),x65684))+P107(f315(f315(f275(x65681),x65682),f315(f315(f74(x65681),x65683),x65684)))
% 201.34/201.10 [6569]~P113(x65691)+~P107(f315(f315(f275(x65691),x65692),x65693))+P107(f315(f315(f275(x65691),x65692),f315(f315(f74(x65691),x65693),x65694)))
% 201.34/201.10 [6661]~E(f315(f315(f153(x66611),x66612),x66613),x66614)+E(f315(f315(f148(x66611,x66612),x66613),x66614),x66612)+~P107(f315(f315(f224(a893),x66613),f315(f178(f894(x66611)),x66612)))
% 201.34/201.10 [6701]P107(f315(x67011,x67012))+~P107(f315(x67013,x67012))+~P107(f315(f315(f223(f901(x67014,a891)),x67013),x67011))
% 201.34/201.10 [6736]~E(f315(f315(f148(x67361,x67362),x67363),x67364),x67362)+E(f315(f315(f153(x67361),x67362),x67363),x67364)+~P107(f315(f315(f224(a893),x67363),f315(f178(f894(x67361)),x67362)))
% 201.34/201.10 [6750]~P107(f315(f149(x67501,x67502),x67504))+~P107(f315(f149(x67501,x67502),x67503))+P107(f315(f149(x67501,x67502),f315(f315(f123(x67501),x67503),x67504)))
% 201.34/201.10 [6859]E(x68591,f177(f901(x68592,a891)))+E(x68593,f177(f901(x68594,a891)))+~E(f315(f315(f242(x68594,x68592),x68593),f315(f18(f901(x68592,a891),x68594),x68591)),f177(f901(f900(x68594,x68592),a891)))
% 201.34/201.10 [6879]E(x68791,x68792)+P107(f315(f315(f317(x68793),x68791),x68794))+~P107(f315(f315(f317(x68793),x68791),f315(f315(f297(x68793),x68792),x68794)))
% 201.34/201.10 [6896]~P110(x68961)+P107(f315(f315(f223(x68961),x68962),x68963))+~P107(f315(f315(f223(x68961),x68962),f315(f315(f221(x68961),x68964),x68963)))
% 201.34/201.10 [6898]~P110(x68981)+P107(f315(f315(f223(x68981),x68982),x68983))+~P107(f315(f315(f223(x68981),x68982),f315(f315(f221(x68981),x68983),x68984)))
% 201.34/201.10 [6900]~P103(x69001)+P107(f315(f315(f223(x69001),x69002),x69003))+~P107(f315(f315(f223(x69001),x69002),f315(f315(f90(x69001),x69004),x69003)))
% 201.34/201.10 [6902]~P103(x69021)+P107(f315(f315(f223(x69021),x69022),x69023))+~P107(f315(f315(f223(x69021),x69022),f315(f315(f90(x69021),x69023),x69024)))
% 201.34/201.10 [6903]~P110(x69031)+P107(f315(f315(f224(x69031),x69032),x69033))+~P107(f315(f315(f224(x69031),x69032),f315(f315(f221(x69031),x69034),x69033)))
% 201.34/201.10 [6904]~P110(x69041)+P107(f315(f315(f224(x69041),x69042),x69043))+~P107(f315(f315(f224(x69041),x69042),f315(f315(f221(x69041),x69043),x69044)))
% 201.34/201.10 [6925]~E(f315(f315(f153(x69251),x69253),x69254),x69252)+P107(f315(f315(f317(x69251),x69252),f315(f161(x69251),x69253)))+~P107(f315(f315(f224(a893),x69254),f315(f178(f894(x69251)),x69253)))
% 201.34/201.10 [6935]~P110(x69351)+~P13(x69351,f315(f315(f140(x69351),x69352),f315(f315(f140(x69351),x69353),x69354)))+P107(f315(f315(f223(x69351),x69352),x69353))
% 201.34/201.10 [7083]~P33(x70832,x70831,x70833)+P107(f315(x70831,f315(f315(f153(x70832),x70833),x70834)))+~P107(f315(f315(f224(a893),x70834),f315(f178(f894(x70832)),x70833)))
% 201.34/201.10 [7101]E(x71011,f2(a1))+E(f315(f315(f29(a1),x71012),x71011),x71013)+~P107(f315(f42(x71012,x71011),f315(f315(f240(a1,a1),x71013),x71014)))
% 201.34/201.10 [7123]E(f38(a1,x71232,x71231),x71233)+E(x71231,f2(a1))+~P107(f315(f42(x71232,x71231),f315(f315(f240(a1,a1),x71234),x71233)))
% 201.34/201.10 [7243]P107(f315(f315(f317(x72431),x72432),x72433))+~P107(f315(f315(f317(x72431),x72432),x72434))+~P107(f315(f315(f224(f901(x72431,a891)),x72434),x72433))
% 201.34/201.10 [7244]P107(f315(f315(f317(x72441),x72442),x72443))+~P107(f315(f315(f317(x72441),x72442),x72444))+~P107(f315(f315(f223(f901(x72441,a891)),x72444),x72443))
% 201.34/201.10 [7255]~P122(x72551)+~E(x72553,f2(x72551))+P107(f315(f315(f275(x72551),f315(f315(f74(x72551),x72552),x72553)),f315(f315(f74(x72551),x72554),x72553)))
% 201.34/201.10 [7256]~P122(x72561)+~E(x72562,f2(x72561))+P107(f315(f315(f275(x72561),f315(f315(f74(x72561),x72562),x72563)),f315(f315(f74(x72561),x72562),x72564)))
% 201.34/201.10 [7358]P35(x73581,x73582,x73583)+~P107(f315(x73582,f315(f315(f153(x73581),x73583),x73584)))+~P107(f315(f315(f224(a893),x73584),f315(f178(f894(x73581)),x73583)))
% 201.34/201.10 [7473]~P109(x74732)+~P107(f315(f315(f224(f901(x74731,x74732)),x74733),x74734))+P107(f315(f315(f223(f901(x74731,x74732)),x74733),x74734))
% 201.34/201.10 [7556]~P25(x75561,x75562,x75564)+P25(x75561,x75562,f315(f315(f297(f892(x75561)),x75563),x75564))+~P25(x75561,x75562,f315(f315(f297(f892(x75561)),x75563),f177(f901(f892(x75561),a891))))
% 201.34/201.10 [7598]~P107(f315(f315(f317(x75981),x75982),x75984))+P107(f315(f315(f317(x75981),x75982),f30(f901(x75981,a891),x75983)))+~P107(f315(f315(f317(f901(x75981,a891)),x75984),x75983))
% 201.34/201.10 [7600]~P113(x76001)+~P107(f315(f315(f223(a893),x76003),x76004))+P107(f315(f315(f275(x76001),f315(f315(f232(x76001),x76002),x76003)),f315(f315(f232(x76001),x76002),x76004)))
% 201.34/201.10 [7626]~P86(x76261)+~P107(f315(f315(f223(x76261),x76263),x76264))+P107(f315(f315(f223(x76261),f315(f315(f73(x76261),x76262),x76263)),f315(f315(f73(x76261),x76262),x76264)))
% 201.34/201.10 [7627]~P87(x76271)+~P107(f315(f315(f223(x76271),x76273),x76274))+P107(f315(f315(f223(x76271),f315(f315(f73(x76271),x76272),x76273)),f315(f315(f73(x76271),x76272),x76274)))
% 201.34/201.10 [7628]~P86(x76281)+~P107(f315(f315(f223(x76281),x76282),x76284))+P107(f315(f315(f223(x76281),f315(f315(f73(x76281),x76282),x76283)),f315(f315(f73(x76281),x76284),x76283)))
% 201.34/201.10 [7629]~P87(x76291)+~P107(f315(f315(f223(x76291),x76292),x76294))+P107(f315(f315(f223(x76291),f315(f315(f73(x76291),x76292),x76293)),f315(f315(f73(x76291),x76294),x76293)))
% 201.34/201.10 [7630]~P86(x76301)+~P107(f315(f315(f224(x76301),x76303),x76304))+P107(f315(f315(f224(x76301),f315(f315(f73(x76301),x76302),x76303)),f315(f315(f73(x76301),x76302),x76304)))
% 201.34/201.10 [7631]~P89(x76311)+~P107(f315(f315(f224(x76311),x76313),x76314))+P107(f315(f315(f224(x76311),f315(f315(f73(x76311),x76312),x76313)),f315(f315(f73(x76311),x76312),x76314)))
% 201.34/201.10 [7632]~P86(x76321)+~P107(f315(f315(f224(x76321),x76322),x76324))+P107(f315(f315(f224(x76321),f315(f315(f73(x76321),x76322),x76323)),f315(f315(f73(x76321),x76324),x76323)))
% 201.34/201.10 [7633]~P89(x76331)+~P107(f315(f315(f224(x76331),x76332),x76334))+P107(f315(f315(f224(x76331),f315(f315(f73(x76331),x76332),x76333)),f315(f315(f73(x76331),x76334),x76333)))
% 201.34/201.10 [7634]~P122(x76341)+~P107(f315(f315(f275(x76341),x76343),x76344))+P107(f315(f315(f275(x76341),f315(f315(f74(x76341),x76342),x76343)),f315(f315(f74(x76341),x76342),x76344)))
% 201.34/201.10 [7635]~P122(x76351)+~P107(f315(f315(f275(x76351),x76352),x76354))+P107(f315(f315(f275(x76351),f315(f315(f74(x76351),x76352),x76353)),f315(f315(f74(x76351),x76354),x76353)))
% 201.34/201.10 [7636]~P113(x76361)+~P107(f315(f315(f275(x76361),x76362),x76364))+P107(f315(f315(f275(x76361),f315(f315(f232(x76361),x76362),x76363)),f315(f315(f232(x76361),x76364),x76363)))
% 201.34/201.10 [7643]~P131(x76431)+~P96(x76431)+E(f315(f315(f3(x76431),f315(f315(f74(x76431),x76432),f315(f92(x76431),x76433))),f315(f315(f74(x76431),x76434),f315(f92(x76431),x76433))),f315(f315(f74(x76431),f315(f315(f3(x76431),x76432),x76434)),f315(f92(x76431),x76433)))
% 201.34/201.10 [7644]~P130(x76441)+~P96(x76441)+E(f315(f315(f73(x76441),f315(f315(f74(x76441),x76442),f315(f92(x76441),x76443))),f315(f315(f74(x76441),x76444),f315(f92(x76441),x76443))),f315(f315(f74(x76441),f315(f315(f73(x76441),x76442),x76444)),f315(f92(x76441),x76443)))
% 201.34/201.10 [7680]~P76(x76801)+E(f315(f315(f73(x76801),f315(x76802,x76803)),f315(f315(f8(a893,x76801),x76802),f291(a893,f315(a101,x76803),x76804))),f315(f315(f8(a893,x76801),x76802),f291(a893,x76803,x76804)))+~P107(f315(f315(f223(a893),x76803),x76804))
% 201.34/201.10 [7692]~P26(x76922,x76921,x76923,f315(f161(x76922),x76924))+~P107(f315(f126(x76922),x76924))+P107(f315(f126(x76921),f315(f315(f143(x76922,x76921),x76923),x76924)))
% 201.34/201.10 [7741]~P107(f315(f315(f223(a893),x77412),x77414))+~P107(f315(f315(f223(a893),x77411),x77413))+P107(f315(f315(f223(a893),f315(f315(f74(a893),x77411),x77412)),f315(f315(f74(a893),x77413),x77414)))
% 201.34/201.10 [7742]~P107(f315(f315(f223(a893),x77422),x77424))+~P107(f315(f315(f223(a893),x77421),x77423))+P107(f315(f315(f223(a893),f315(f315(f73(a893),x77421),x77422)),f315(f315(f73(a893),x77423),x77424)))
% 201.34/201.10 [7745]~P107(f315(f315(f224(a893),x77452),x77454))+~P107(f315(f315(f224(a893),x77451),x77453))+P107(f315(f315(f224(a893),f315(f315(f73(a893),x77451),x77452)),f315(f315(f73(a893),x77453),x77454)))
% 201.34/201.10 [7746]~P107(f315(f315(f223(a1),x77462),x77464))+~P107(f315(f315(f224(a1),x77461),x77463))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x77461),x77462)),f315(f315(f73(a1),x77463),x77464)))
% 201.34/201.10 [7794]P107(f315(f315(f317(x77941),x77942),x77943))+~P107(f315(f315(f317(x77941),x77942),f31(f901(x77941,a891),x77944)))+~P107(f315(f315(f317(f901(x77941,a891)),x77943),x77944))
% 201.34/201.10 [7811]~P107(f315(x78111,f638(x78111,x78113,x78112)))+P107(f315(x78111,f315(f315(f153(x78112),x78113),x78114)))+~P107(f315(f315(f224(a893),x78114),f315(f178(f894(x78112)),x78113)))
% 201.34/201.10 [7816]P107(f315(x78161,x78162))+~P107(f315(f315(f317(x78164),x78162),f315(f161(x78164),x78163)))+P107(f315(f315(f224(a893),f640(x78161,x78163,x78164)),f315(f178(f894(x78164)),x78163)))
% 201.34/201.10 [7863]~P109(x78631)+~P107(f315(f315(f224(f901(x78632,x78631)),x78634),x78633))+~P107(f315(f315(f223(f901(x78632,x78631)),x78633),x78634))
% 201.34/201.10 [7907]~P107(f315(x79074,x79072))+~P107(f315(f315(f317(x79071),x79072),x79073))+P107(f315(f315(f317(x79071),x79072),f315(f315(f90(f901(x79071,a891)),x79073),f315(f250(x79071),x79074))))
% 201.34/201.10 [8052]~P107(f315(f315(f317(x80521),x80523),x80524))+~P107(f315(f315(f224(f901(x80521,a891)),x80522),x80524))+P107(f315(f315(f224(f901(x80521,a891)),x80522),f315(f315(f297(x80521),x80523),x80524)))
% 201.34/201.10 [8054]E(f315(f315(f90(f901(x80541,a891)),x80542),x80543),f177(f901(x80541,a891)))+~E(f315(f315(f90(f901(x80541,a891)),f30(f901(x80541,a891),x80544)),x80543),f177(f901(x80541,a891)))+~P107(f315(f315(f317(f901(x80541,a891)),x80542),x80544))
% 201.34/201.10 [8127]P107(f315(f315(f317(x81271),x81272),x81273))+~P107(f315(f315(f223(f901(x81271,a891)),x81273),f315(f315(f297(x81271),x81272),x81274)))+P107(f315(f315(f223(f901(x81271,a891)),x81273),x81274))
% 201.34/201.10 [8144]P107(f315(f315(f317(x81442),f638(x81441,x81443,x81442)),f315(f161(x81442),x81443)))+P107(f315(x81441,f315(f315(f153(x81442),x81443),x81444)))+~P107(f315(f315(f224(a893),x81444),f315(f178(f894(x81442)),x81443)))
% 201.34/201.10 [8152]~P107(f315(f315(f223(f901(x81521,a891)),x81522),x81524))+P107(f315(f315(f223(f901(x81521,a891)),x81522),x81523))+~P107(f315(f315(f223(f901(x81521,a891)),x81524),x81523))
% 201.34/201.10 [8153]~P107(f315(f315(f224(f901(x81531,a891)),x81532),x81534))+~P107(f315(f315(f223(f901(x81531,a891)),x81534),x81533))+P107(f315(f315(f224(f901(x81531,a891)),x81532),x81533))
% 201.34/201.10 [8154]~P107(f315(f315(f223(f901(x81541,a891)),x81542),x81544))+~P107(f315(f315(f224(f901(x81541,a891)),x81544),x81543))+P107(f315(f315(f224(f901(x81541,a891)),x81542),x81543))
% 201.34/201.10 [8155]~P107(f315(f315(f224(f901(x81551,a891)),x81552),x81554))+P107(f315(f315(f224(f901(x81551,a891)),x81552),x81553))+~P107(f315(f315(f224(f901(x81551,a891)),x81554),x81553))
% 201.34/201.10 [8199]~P107(f315(f315(f317(x81991),x81994),x81993))+~P107(f315(f315(f224(f901(x81991,a891)),x81992),f315(f315(f297(x81991),x81994),x81993)))+P107(f315(f315(f224(f901(x81991,a891)),x81992),x81993))
% 201.34/201.10 [8210]~P86(x82101)+P107(f315(f315(f223(x82101),x82102),x82103))+~P107(f315(f315(f223(x82101),f315(f315(f73(x82101),x82104),x82102)),f315(f315(f73(x82101),x82104),x82103)))
% 201.34/201.10 [8212]~P86(x82121)+P107(f315(f315(f223(x82121),x82122),x82123))+~P107(f315(f315(f223(x82121),f315(f315(f73(x82121),x82122),x82124)),f315(f315(f73(x82121),x82123),x82124)))
% 201.34/201.10 [8214]~P86(x82141)+P107(f315(f315(f224(x82141),x82142),x82143))+~P107(f315(f315(f224(x82141),f315(f315(f73(x82141),x82144),x82142)),f315(f315(f73(x82141),x82144),x82143)))
% 201.34/201.10 [8216]~P86(x82161)+P107(f315(f315(f224(x82161),x82162),x82163))+~P107(f315(f315(f224(x82161),f315(f315(f73(x82161),x82162),x82164)),f315(f315(f73(x82161),x82163),x82164)))
% 201.34/201.10 [8267]P107(f315(x82671,x82672))+~E(f315(f315(f127(x82673),f315(f178(f894(x82673)),f166(x82673,x82671,x82674))),x82674),f102(x82673))+~P107(f315(f315(f317(x82673),x82672),f315(f161(x82673),x82674)))
% 201.34/201.10 [8385]P107(f315(x83851,x83852))+~P107(f315(f315(f317(x83853),x83852),f315(f161(x83853),x83854)))+P107(f315(f315(f224(a893),f315(f178(f894(x83853)),f315(f125(x83853,x83851),x83854))),f315(f178(f894(x83853)),x83854)))
% 201.34/201.10 [8875]~P107(f315(x88751,f730(x88751,x88753,x88752,x88754)))+P107(f315(x88751,f315(f315(f153(x88752),x88753),x88754)))+~P107(f315(f315(f224(a893),x88754),f315(f178(f894(x88752)),x88753)))
% 201.34/201.10 [8899]~P26(x88994,x88993,x88991,f230(f901(x88994,a891)))+E(f315(x88991,f499(x88992,x88991,x88993,x88994)),x88992)+~P107(f315(f315(f317(x88993),x88992),f315(f298(x88994,x88993,x88991),f230(f901(x88994,a891)))))
% 201.34/201.10 [8967]E(f166(x89671,x89672,x89673),f315(f315(f164(x89671),x89674),x89673))+P107(f315(f315(f224(a893),f701(x89672,x89673,x89671,x89674)),x89674))+P107(f315(f315(f224(a893),x89674),f315(f178(f894(x89671)),x89673)))
% 201.34/201.10 [8970]E(f166(x89701,x89702,x89703),f315(f315(f164(x89701),x89704),x89703))+P107(f315(f315(f224(a893),f701(x89702,x89703,x89701,x89704)),x89704))+P107(f315(x89702,f315(f315(f153(x89701),x89703),x89704)))
% 201.34/201.10 [9005]P107(f315(x90051,x90052))+~P107(f315(f315(f317(x90054),x90052),f315(f161(x90054),x90053)))+P107(f315(f315(f224(a893),f678(x90052,x90051,x90053,x90054)),f315(f178(f894(x90054)),x90053)))
% 201.34/201.10 [9007]E(f166(x90071,x90072,x90073),f315(f315(f164(x90071),x90074),x90073))+P107(f315(f315(f224(a893),x90074),f315(f178(f894(x90071)),x90073)))+P107(f315(f315(f224(a893),f701(x90072,x90073,x90071,x90074)),f315(f178(f894(x90071)),x90073)))
% 201.34/201.10 [9014]E(f166(x90141,x90142,x90143),f315(f315(f164(x90141),x90144),x90143))+P107(f315(x90142,f315(f315(f153(x90141),x90143),x90144)))+P107(f315(f315(f224(a893),f701(x90142,x90143,x90141,x90144)),f315(f178(f894(x90141)),x90143)))
% 201.34/201.10 [9039]~P112(x90394)+P107(f315(f315(f317(x90391),f879(x90392,x90393,x90391,x90394)),x90393))+P107(f315(f315(f224(x90394),f2(x90394)),f315(f315(f11(x90391,x90394),x90392),x90393)))
% 201.34/201.10 [9040]~P112(x90404)+P107(f315(f315(f317(x90401),f880(x90402,x90403,x90401,x90404)),x90403))+P107(f315(f315(f223(x90404),f2(x90404)),f315(f315(f11(x90401,x90404),x90402),x90403)))
% 201.34/201.10 [9065]~P107(f315(f54(x90651),x90654))+P107(f315(f315(f317(x90651),f517(x90652,x90653,x90654,x90651)),x90654))+P107(f315(f54(f900(x90651,x90653)),f315(f315(f242(x90651,x90653),x90654),x90652)))
% 201.34/201.10 [9097]P107(f315(f315(f317(x90972),f730(x90971,x90973,x90972,x90974)),f315(f161(x90972),x90973)))+P107(f315(x90971,f315(f315(f153(x90972),x90973),x90974)))+~P107(f315(f315(f224(a893),x90974),f315(f178(f894(x90972)),x90973)))
% 201.34/201.10 [9226]P107(f315(f315(f223(a893),x92264),f315(f178(f894(x92262)),f166(x92262,x92263,x92261))))+P107(f315(f315(f224(a893),f702(x92261,x92262,x92263,x92264)),x92264))+~P107(f315(f315(f223(a893),x92264),f315(f178(f894(x92262)),x92261)))
% 201.34/201.10 [9381]E(f166(x93811,x93812,x93813),f315(f315(f164(x93811),x93814),x93813))+~P107(f315(x93812,f315(f315(f153(x93811),x93813),f701(x93812,x93813,x93811,x93814))))+P107(f315(f315(f224(a893),x93814),f315(f178(f894(x93811)),x93813)))
% 201.34/201.10 [9388]E(f166(x93881,x93882,x93883),f315(f315(f164(x93881),x93884),x93883))+~P107(f315(x93882,f315(f315(f153(x93881),x93883),f701(x93882,x93883,x93881,x93884))))+P107(f315(x93882,f315(f315(f153(x93881),x93883),x93884)))
% 201.34/201.10 [9392]~P107(f315(f54(x93921),x93923))+~P107(f315(f54(x93922),f315(x93924,f517(x93924,x93922,x93923,x93921))))+P107(f315(f54(f900(x93921,x93922)),f315(f315(f242(x93921,x93922),x93923),x93924)))
% 201.34/201.10 [9400]~P112(x94001)+~P107(f315(f315(f223(x94001),f2(x94001)),f315(x94003,f880(x94003,x94004,x94002,x94001))))+P107(f315(f315(f223(x94001),f2(x94001)),f315(f315(f11(x94002,x94001),x94003),x94004)))
% 201.34/201.10 [9401]~P112(x94011)+~P107(f315(f315(f224(x94011),f2(x94011)),f315(x94013,f879(x94013,x94014,x94012,x94011))))+P107(f315(f315(f224(x94011),f2(x94011)),f315(f315(f11(x94012,x94011),x94013),x94014)))
% 201.34/201.10 [9409]~E(f315(f178(f894(x94094)),x94092),f315(f178(f894(x94094)),x94093))+P107(f315(f315(f317(f900(f894(x94094),f894(x94094))),f315(f315(f240(f894(x94094),f894(x94094)),x94093),x94092)),f147(x94094,x94091)))+P107(f315(f315(f224(a893),f633(x94091,x94092,x94093,x94094)),f315(f178(f894(x94094)),x94093)))
% 201.34/201.10 [9461]~P107(f315(x94613,f315(f315(f153(x94612),x94614),f702(x94614,x94612,x94613,x94611))))+P107(f315(f315(f223(a893),x94611),f315(f178(f894(x94612)),f166(x94612,x94613,x94614))))+~P107(f315(f315(f223(a893),x94611),f315(f178(f894(x94612)),x94614)))
% 201.34/201.10 [9542]E(f315(f315(f164(x95421),f639(x95422,x95423,x95424,x95421)),x95423),f315(f315(f164(x95421),f639(x95422,x95423,x95424,x95421)),x95424))+~P107(f315(f315(f317(f900(f894(x95421),f894(x95421))),f315(f315(f240(f894(x95421),f894(x95421)),x95424),x95423)),f136(x95421,x95422)))+P107(f315(f315(f224(a893),f315(f178(f894(x95421)),x95424)),f315(f178(f894(x95421)),x95423)))
% 201.34/201.10 [9607]~P107(f315(f315(f224(a893),f2(a893)),x96073))+~P107(f315(f315(f224(a893),x96074),x96071))+P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),x96071),f38(a893,x96072,x96073))),x96074)),f315(f315(f74(a893),x96071),x96073)))
% 201.34/201.10 [9798]~P109(x97982)+~P107(f315(f315(f223(x97982),f315(x97983,f542(x97984,x97983,x97981,x97982))),f315(x97984,f542(x97984,x97983,x97981,x97982))))+P107(f315(f315(f223(f901(x97981,x97982)),x97983),x97984))
% 201.34/201.10 [9900]~P69(x99001)+E(f315(f315(f8(a893,x99001),f315(f315(f20(a893,x99001,x99001),f315(f315(f10(x99001,f901(x99001,x99001),a893),f3(x99001)),x99002)),f315(f315(f10(a893,x99001,a893),x99002),f315(f315(f9(a893,a893,a893),f73(a893)),f71(a893))))),f291(a893,x99003,x99004)),f315(f315(f3(x99001),f315(x99002,x99003)),f315(x99002,f315(f315(f73(a893),x99004),f71(a893)))))+~P107(f315(f315(f223(a893),x99003),x99004))
% 201.34/201.10 [9975]~P39(x99753,f315(f315(f277(x99753,x99753,x99753),x99752),f295(x99753,x99752)))+~P107(f315(f315(f317(f900(x99753,x99753)),f315(f315(f240(x99753,x99753),f315(x99751,f315(a101,f814(x99752,x99751,x99753)))),f315(x99751,f814(x99752,x99751,x99753)))),f295(x99753,x99752)))+E(f315(x99751,f315(f315(f73(a893),f813(x99752,x99751,x99753)),x99754)),f315(x99751,f813(x99752,x99751,x99753)))
% 201.34/201.10 [6842]~P62(x68421)+E(f315(f315(f29(x68421),f315(f315(f74(x68421),x68422),x68423)),x68424),f315(f315(f74(x68421),x68422),f315(f315(f29(x68421),x68423),x68424)))+~P107(f315(f315(f275(x68421),x68424),x68423))
% 201.34/201.10 [6929]E(f315(f315(f123(x69291),x69292),x69293),x69294)+~E(x69293,f315(f315(f127(x69291),f315(f178(f894(x69291)),x69292)),x69294))+~E(f315(f315(f164(x69291),f315(f178(f894(x69291)),x69292)),x69294),x69292)
% 201.34/201.10 [6985]~P66(x69852)+E(x69851,f2(x69852))+E(f315(f315(f279(x69852),f315(f315(f232(x69852),x69853),x69854)),f315(f315(f232(x69852),x69851),x69854)),f315(f315(f232(x69852),f315(f315(f279(x69852),x69853),x69851)),x69854))
% 201.34/201.10 [7132]~P62(x71321)+E(f315(f315(f29(x71321),f315(f315(f74(x71321),x71322),x71323)),x71324),f315(f315(f74(x71321),f315(f315(f29(x71321),x71322),x71324)),x71323))+~P107(f315(f315(f275(x71321),x71324),x71322))
% 201.34/201.10 [7140]~P103(x71401)+~P107(f315(f315(f223(x71401),x71403),x71404))+P107(f315(f315(f223(x71401),f315(f315(f90(x71401),x71402),x71403)),x71404))
% 201.34/201.10 [7141]~P103(x71411)+~P107(f315(f315(f223(x71411),x71412),x71414))+P107(f315(f315(f223(x71411),f315(f315(f90(x71411),x71412),x71413)),x71414))
% 201.34/201.10 [7143]~P110(x71431)+~P107(f315(f315(f223(x71431),x71433),x71434))+P107(f315(f315(f223(x71431),f315(f315(f221(x71431),x71432),x71433)),x71434))
% 201.34/201.10 [7145]~P110(x71451)+~P107(f315(f315(f223(x71451),x71452),x71454))+P107(f315(f315(f223(x71451),f315(f315(f221(x71451),x71452),x71453)),x71454))
% 201.34/201.10 [7146]~P103(x71461)+~P107(f315(f315(f224(x71461),x71463),x71464))+P107(f315(f315(f224(x71461),f315(f315(f90(x71461),x71462),x71463)),x71464))
% 201.34/201.10 [7147]~P103(x71471)+~P107(f315(f315(f224(x71471),x71472),x71474))+P107(f315(f315(f224(x71471),f315(f315(f90(x71471),x71472),x71473)),x71474))
% 201.34/201.10 [7149]~P110(x71491)+~P107(f315(f315(f224(x71491),x71493),x71494))+P107(f315(f315(f224(x71491),f315(f315(f221(x71491),x71492),x71493)),x71494))
% 201.34/201.10 [7151]~P110(x71511)+~P107(f315(f315(f224(x71511),x71512),x71514))+P107(f315(f315(f224(x71511),f315(f315(f221(x71511),x71512),x71513)),x71514))
% 201.34/201.10 [7174]~P107(f315(x71743,x71744))+~P107(f315(x71742,x71744))+P107(f315(f315(f315(f90(f901(x71741,a891)),x71742),x71743),x71744))
% 201.34/201.10 [7300]P25(x73001,x73002,x73003)+~P25(x73001,x73004,x73003)+~P107(f315(f315(f223(f901(f892(x73001),a891)),x73004),x73002))
% 201.34/201.10 [7301]P25(x73011,x73012,x73013)+~P25(x73011,x73012,x73014)+~P107(f315(f315(f223(f901(f892(x73011),a891)),x73013),x73014))
% 201.34/201.10 [7438]~P62(x74381)+E(f315(f315(f29(x74381),f315(f315(f232(x74381),x74382),x74383)),f315(f315(f232(x74381),x74384),x74383)),f315(f315(f232(x74381),f315(f315(f29(x74381),x74382),x74384)),x74383))+~P107(f315(f315(f275(x74381),x74384),x74382))
% 201.34/201.10 [7670]~P76(x76701)+E(f315(f315(f73(x76701),f315(x76702,x76703)),f315(f315(f8(a893,x76701),x76702),f315(f290(a893,f315(a101,x76703)),x76704))),f315(f315(f8(a893,x76701),x76702),f315(f290(a893,x76703),x76704)))+~P107(f315(f315(f224(a893),x76703),x76704))
% 201.34/201.10 [7688]E(x76881,x76882)+P107(f315(f315(f161(x76883),x76884),x76882))+~P107(f315(f315(f161(x76883),f315(f315(f140(x76883),x76881),x76884)),x76882))
% 201.34/201.10 [7700]~P2(x77001)+P107(f315(f315(f223(x77001),x77002),x77003))+~P107(f315(f315(f223(x77001),f315(f315(f99(x77001),x77004),x77002)),x77003))
% 201.34/201.10 [7702]~P2(x77021)+P107(f315(f315(f223(x77021),x77022),x77023))+~P107(f315(f315(f223(x77021),f315(f315(f99(x77021),x77022),x77024)),x77023))
% 201.34/201.10 [7704]~P110(x77041)+P107(f315(f315(f223(x77041),x77042),x77043))+~P107(f315(f315(f223(x77041),f315(f315(f222(x77041),x77044),x77042)),x77043))
% 201.34/201.10 [7706]~P110(x77061)+P107(f315(f315(f223(x77061),x77062),x77063))+~P107(f315(f315(f223(x77061),f315(f315(f222(x77061),x77062),x77064)),x77063))
% 201.34/201.10 [7707]~P110(x77071)+P107(f315(f315(f224(x77071),x77072),x77073))+~P107(f315(f315(f224(x77071),f315(f315(f222(x77071),x77074),x77072)),x77073))
% 201.34/201.10 [7708]~P110(x77081)+P107(f315(f315(f224(x77081),x77082),x77083))+~P107(f315(f315(f224(x77081),f315(f315(f222(x77081),x77082),x77084)),x77083))
% 201.34/201.10 [7709]~P113(x77091)+P107(f315(f315(f275(x77091),x77092),x77093))+~P107(f315(f315(f275(x77091),f315(f315(f74(x77091),x77094),x77092)),x77093))
% 201.34/201.10 [7710]~P113(x77101)+P107(f315(f315(f275(x77101),x77102),x77103))+~P107(f315(f315(f275(x77101),f315(f315(f74(x77101),x77102),x77104)),x77103))
% 201.34/201.10 [7786]~P107(f315(f315(f317(x77861),x77862),x77864))+P107(f315(f315(f317(x77861),x77862),x77863))+P107(f315(f315(f317(x77861),x77862),f315(f315(f3(f901(x77861,a891)),x77864),x77863)))
% 201.34/201.10 [7870]P107(f315(x78701,x78702))+P107(f315(x78703,x78702))+~P107(f315(f315(f315(f99(f901(x78704,a891)),x78703),x78701),x78702))
% 201.34/201.10 [7881]~P107(f315(f315(f317(x78811),x78812),x78814))+~P107(f315(f315(f317(x78811),x78812),x78813))+P107(f315(f315(f317(x78811),x78812),f315(f315(f90(f901(x78811,a891)),x78813),x78814)))
% 201.34/201.10 [7929]~P2(x79291)+~P107(f315(f54(x79291),x79294))+E(f315(f315(f57(x79291,x79291,f99(x79291)),x79292),f315(f315(f297(x79291),x79293),x79294)),f315(f315(f99(x79291),x79293),f315(f315(f57(x79291,x79291,f99(x79291)),x79292),x79294)))
% 201.34/201.10 [7930]~P103(x79301)+~P107(f315(f54(x79301),x79304))+E(f315(f315(f57(x79301,x79301,f90(x79301)),x79302),f315(f315(f297(x79301),x79303),x79304)),f315(f315(f90(x79301),x79303),f315(f315(f57(x79301,x79301,f90(x79301)),x79302),x79304)))
% 201.34/201.10 [7931]~P110(x79311)+~P107(f315(f54(x79311),x79314))+E(f315(f315(f57(x79311,x79311,f221(x79311)),x79312),f315(f315(f297(x79311),x79313),x79314)),f315(f315(f221(x79311),x79313),f315(f315(f57(x79311,x79311,f221(x79311)),x79312),x79314)))
% 201.34/201.10 [7932]~P110(x79321)+~P107(f315(f54(x79321),x79324))+E(f315(f315(f57(x79321,x79321,f222(x79321)),x79322),f315(f315(f297(x79321),x79323),x79324)),f315(f315(f222(x79321),x79323),f315(f315(f57(x79321,x79321,f222(x79321)),x79322),x79324)))
% 201.34/201.10 [7934]~P131(x79341)+~P96(x79341)+E(f315(f315(f3(x79341),f315(f315(f74(x79341),f315(f92(x79341),x79342)),x79343)),f315(f315(f74(x79341),f315(f92(x79341),x79342)),x79344)),f315(f315(f74(x79341),f315(f92(x79341),x79342)),f315(f315(f3(x79341),x79343),x79344)))
% 201.34/201.10 [7935]~P130(x79351)+~P96(x79351)+E(f315(f315(f73(x79351),f315(f315(f74(x79351),f315(f92(x79351),x79352)),x79353)),f315(f315(f74(x79351),f315(f92(x79351),x79352)),x79354)),f315(f315(f74(x79351),f315(f92(x79351),x79352)),f315(f315(f73(x79351),x79353),x79354)))
% 201.34/201.10 [8050]E(x80501,x80502)+P107(f315(f315(f317(x80503),x80501),f315(f161(x80503),x80504)))+~P107(f315(f315(f317(x80503),x80501),f315(f161(x80503),f315(f315(f140(x80503),x80502),x80504))))
% 201.34/201.10 [8221]P56(x82211,x82212,x82213)+~P56(x82211,x82212,x82214)+~P107(f315(f315(f223(f901(f900(x82211,x82212),a891)),x82213),x82214))
% 201.34/201.10 [8269]P107(f315(f315(f317(x82691),x82692),x82693))+P107(f315(f315(f317(x82691),x82692),x82694))+~P107(f315(f315(f317(x82691),x82692),f315(f315(f99(f901(x82691,a891)),x82694),x82693)))
% 201.34/201.10 [8279]~P54(x82791,x82794,x82793)+~P107(f315(f315(f317(x82791),x82792),x82794))+P107(f315(f315(f317(f900(x82791,x82791)),f315(f315(f240(x82791,x82791),x82792),x82792)),x82793))
% 201.34/201.10 [8291]~P107(f315(f54(x82912),x82914))+~P107(f315(f54(x82911),x82913))+P107(f315(f54(f900(x82911,x82912)),f315(f315(f242(x82911,x82912),x82913),f315(f18(f901(x82912,a891),x82911),x82914))))
% 201.34/201.10 [8292]~P107(f315(f315(f317(x82921),x82922),x82924))+~P107(f315(f315(f223(f901(x82921,a891)),x82923),x82924))+P107(f315(f315(f223(f901(x82921,a891)),f315(f315(f297(x82921),x82922),x82923)),x82924))
% 201.34/201.10 [8299]~P72(x82992)+~P147(x82992)+E(f315(f315(f11(x82991,x82992),f315(f315(f10(a893,x82992,x82991),f89(x82992)),x82993)),x82994),f315(f89(x82992),f315(f315(f11(x82991,a893),x82993),x82994)))
% 201.34/201.10 [8300]~P72(x83002)+~P144(x83002)+E(f315(f315(f11(x83001,x83002),f315(f315(f10(a1,x83002,x83001),f91(x83002)),x83003)),x83004),f315(f91(x83002),f315(f315(f11(x83001,a1),x83003),x83004)))
% 201.34/201.10 [8324]E(f315(f315(f3(f901(x83241,a891)),x83242),f315(f315(f3(f901(x83241,a891)),x83243),x83244)),x83244)+~P107(f315(f315(f223(f901(x83241,a891)),x83242),x83243))+~P107(f315(f315(f223(f901(x83241,a891)),x83244),x83242))
% 201.34/201.10 [8420]~P107(f315(f54(x84201),x84204))+E(f315(f315(f3(a893),f315(f315(f8(x84201,a893),x84202),x84203)),f315(f315(f8(x84201,a893),x84202),x84204)),f315(f315(f8(x84201,a893),x84202),f315(f315(f3(f901(x84201,a891)),x84203),x84204)))+~P107(f315(f315(f223(f901(x84201,a891)),x84204),x84203))
% 201.34/201.10 [8572]~P8(x85721,x85724,x85723)+~P107(f315(f315(f317(x85721),x85722),x85724))+P107(f315(f315(f317(x85721),x85722),f315(f273(x85721,x85721,x85723),f315(f315(f297(x85721),x85722),f177(f901(x85721,a891))))))
% 201.34/201.10 [8633]~P107(f315(f315(f223(f901(x86331,a891)),x86332),x86333))+~P107(f315(f315(f223(f901(x86331,a891)),x86332),x86334))+P107(f315(f315(f223(f901(x86331,a891)),x86332),f315(f315(f90(f901(x86331,a891)),x86333),x86334)))
% 201.34/201.10 [8736]E(x87361,f177(f901(x87362,a891)))+P107(f315(f54(x87363),x87364))+~P107(f315(f54(f900(x87363,x87362)),f315(f315(f242(x87363,x87362),x87364),f315(f18(f901(x87362,a891),x87363),x87361))))
% 201.34/201.10 [8737]E(x87371,f177(f901(x87372,a891)))+P107(f315(f54(x87373),x87374))+~P107(f315(f54(f900(x87372,x87373)),f315(f315(f242(x87372,x87373),x87371),f315(f18(f901(x87373,a891),x87372),x87374))))
% 201.34/201.10 [8810]P107(f315(f315(f317(x88101),x88102),f304(x88101,x88103)))+~P107(f315(f315(f317(x88101),x88104),f304(x88101,x88103)))+~P107(f315(f315(f317(f900(x88101,x88101)),f315(f315(f240(x88101,x88101),x88102),x88104)),x88103))
% 201.34/201.10 [8867]~P39(x88671,x88674)+P107(f315(f315(f317(f900(x88671,x88671)),f315(f315(f240(x88671,x88671),x88673),x88672)),f295(x88671,x88674)))+P39(x88671,f315(f315(f297(f900(x88671,x88671)),f315(f315(f240(x88671,x88671),x88672),x88673)),x88674))
% 201.34/201.10 [8868]~P59(x88681,x88684)+P107(f315(f315(f317(f900(x88681,x88681)),f315(f315(f240(x88681,x88681),x88683),x88682)),f295(x88681,x88684)))+P59(x88681,f315(f315(f297(f900(x88681,x88681)),f315(f315(f240(x88681,x88681),x88682),x88683)),x88684))
% 201.34/201.10 [8950]~E(x89502,x89503)+~P107(f315(f315(f317(x89501),x89502),f315(f161(x89501),x89504)))+P107(f315(f315(f317(f900(x89501,x89501)),f315(f315(f240(x89501,x89501),x89502),x89503)),f315(f161(f900(x89501,x89501)),f315(f315(f170(x89501,x89501),x89504),x89504))))
% 201.34/201.10 [9038]~E(x90383,x90384)+P107(f315(f315(f245(x90381,x90381,a891),a312),x90382))+~P107(f315(f315(f317(f900(x90381,x90381)),x90382),f315(f161(f900(x90381,x90381)),f315(f315(f170(x90381,x90381),x90383),x90384))))
% 201.34/201.10 [9082]P107(f315(f315(f317(f900(f894(x90821),f894(x90821))),f315(f315(f240(f894(x90821),f894(x90821)),x90822),x90823)),f136(x90821,x90824)))+~E(f315(f315(f164(x90821),f315(f178(f894(x90821)),x90822)),x90823),x90822)+~P107(f315(f315(f224(a893),f315(f178(f894(x90821)),x90822)),f315(f178(f894(x90821)),x90823)))
% 201.34/201.10 [9085]~P53(x90851,x90854)+~P107(f315(f315(f317(f900(x90851,x90851)),f315(f315(f240(x90851,x90851),x90853),x90852)),x90854))+P107(f315(f315(f317(f900(x90851,x90851)),f315(f315(f240(x90851,x90851),x90852),x90853)),x90854))
% 201.34/201.10 [9176]~P107(f315(f54(x91761),x91764))+P107(f315(f315(f317(x91761),f444(x91762,x91763,x91764,x91761)),x91764))+P107(f315(f54(x91763),f315(f315(f33(x91761,f901(x91763,a891)),x91764),x91762)))
% 201.34/201.10 [9177]~P107(f315(f54(x91771),x91774))+P107(f315(f315(f317(x91771),f562(x91772,x91773,x91774,x91771)),x91774))+P107(f315(f54(x91773),f315(f315(f33(x91771,f901(x91773,a891)),x91774),x91772)))
% 201.34/201.10 [9262]P107(f315(f315(f317(f900(x92621,x92621)),x92622),f315(f315(f277(x92621,x92621,x92621),x92623),f295(x92621,x92623))))+~P107(f315(f315(f224(a893),f2(a893)),x92624))+~P107(f315(f315(f317(f900(x92621,x92621)),x92622),f315(f315(f172(f900(x92621,x92621),a891),x92624),x92623)))
% 201.34/201.10 [9270]~P39(x92701,x92702)+~P107(f315(f315(f317(f900(x92701,x92701)),f315(f315(f240(x92701,x92701),x92704),x92703)),x92702))+~P107(f315(f315(f317(f900(x92701,x92701)),f315(f315(f240(x92701,x92701),x92703),x92704)),x92702))
% 201.34/201.10 [9399]~P107(f315(f54(x93991),x93994))+E(f315(f315(f8(x93991,a893),f315(f315(f10(f901(x93992,a891),a893,x93991),f28(x93992)),x93993)),x93994),f315(f28(f900(x93991,x93992)),f315(f315(f242(x93991,x93992),x93994),x93993)))+P107(f315(f315(f317(x93991),f520(x93993,x93992,x93994,x93991)),x93994))
% 201.34/201.10 [9403]~P107(f315(f126(x94031),x94032))+P107(f315(f126(x94031),f315(f315(f148(x94031,x94032),x94033),x94034)))+P107(f315(f315(f317(x94031),x94034),f315(f315(f3(f901(x94031,a891)),f315(f161(x94031),x94032)),f315(f315(f297(x94031),f315(f315(f153(x94031),x94032),x94033)),f177(f901(x94031,a891))))))
% 201.34/201.10 [9420]~P107(f315(f54(x94202),x94203))+~P107(f315(f54(x94201),f315(x94204,f444(x94204,x94201,x94203,x94202))))+P107(f315(f54(x94201),f315(f315(f33(x94202,f901(x94201,a891)),x94203),x94204)))
% 201.34/201.10 [9421]~P107(f315(f54(x94212),x94213))+~P107(f315(f54(x94211),f315(x94214,f562(x94214,x94211,x94213,x94212))))+P107(f315(f54(x94211),f315(f315(f33(x94212,f901(x94211,a891)),x94213),x94214)))
% 201.34/201.10 [9499]~P107(f315(f315(f317(f900(x94991,x94991)),x94992),f315(f315(f277(x94991,x94991,x94991),x94994),f295(x94991,x94994))))+P107(f315(f315(f317(f900(x94991,x94991)),x94992),f315(f315(f277(x94991,x94991,x94991),x94993),f295(x94991,x94993))))+~P107(f315(f315(f223(f901(f900(x94991,x94991),a891)),x94994),x94993))
% 201.34/201.10 [9509]E(f315(f315(f164(x95091),f639(x95094,x95093,x95092,x95091)),x95093),f315(f315(f164(x95091),f639(x95094,x95093,x95092,x95091)),x95092))+~P107(f315(f315(f317(f900(f894(x95091),f894(x95091))),f315(f315(f240(f894(x95091),f894(x95091)),x95092),x95093)),f136(x95091,x95094)))+E(f315(f315(f164(x95091),f315(f178(f894(x95091)),x95092)),x95093),x95092)
% 201.34/201.10 [9525]~P107(f315(f54(x95251),x95254))+E(f315(f315(f8(x95251,a893),f315(f315(f10(f901(x95252,a891),a893,x95251),f28(x95252)),x95253)),x95254),f315(f28(f900(x95251,x95252)),f315(f315(f242(x95251,x95252),x95254),x95253)))+~P107(f315(f54(x95252),f315(x95253,f520(x95253,x95252,x95254,x95251))))
% 201.34/201.10 [9529]~E(f315(f178(f894(x95291)),x95293),f315(f178(f894(x95291)),x95292))+P107(f315(f315(f317(f900(f894(x95291),f894(x95291))),f315(f315(f240(f894(x95291),f894(x95291)),x95292),x95293)),f147(x95291,x95294)))+P107(f315(f315(f317(f900(x95291,x95291)),f642(x95294,x95293,x95292,x95291)),f315(f161(f900(x95291,x95291)),f315(f315(f170(x95291,x95291),x95292),x95293))))
% 201.34/201.10 [9618]~P107(f315(f315(f317(f900(f894(x96181),f894(x96181))),f315(f315(f240(f894(x96181),f894(x96181)),x96182),x96183)),f136(x96181,x96184)))+E(f315(f315(f164(x96181),f315(f178(f894(x96181)),x96182)),x96183),x96182)+P107(f315(f315(f224(a893),f639(x96184,x96183,x96182,x96181)),f315(f315(f221(a893),f315(f178(f894(x96181)),x96182)),f315(f178(f894(x96181)),x96183))))
% 201.34/201.10 [9642]~P107(f315(f315(f317(f900(f894(x96421),f894(x96421))),f315(f315(f240(f894(x96421),f894(x96421)),x96422),x96423)),f136(x96421,x96424)))+P107(f315(f315(f224(a893),f315(f178(f894(x96421)),x96422)),f315(f178(f894(x96421)),x96423)))+P107(f315(f315(f224(a893),f639(x96424,x96423,x96422,x96421)),f315(f315(f221(a893),f315(f178(f894(x96421)),x96422)),f315(f178(f894(x96421)),x96423))))
% 201.34/201.10 [10042]~P107(f315(f315(f317(f900(f894(x100421),f894(x100421))),f315(f315(f240(f894(x100421),f894(x100421)),x100422),x100423)),f136(x100421,x100424)))+E(f315(f315(f164(x100421),f315(f178(f894(x100421)),x100422)),x100423),x100422)+P107(f315(f315(f317(f900(x100421,x100421)),f315(f315(f240(x100421,x100421),f315(f315(f153(x100421),x100422),f639(x100424,x100423,x100422,x100421))),f315(f315(f153(x100421),x100423),f639(x100424,x100423,x100422,x100421)))),x100424))
% 201.34/201.10 [10043]~P107(f315(f315(f317(f900(f894(x100431),f894(x100431))),f315(f315(f240(f894(x100431),f894(x100431)),x100432),x100433)),f136(x100431,x100434)))+P107(f315(f315(f224(a893),f315(f178(f894(x100431)),x100432)),f315(f178(f894(x100431)),x100433)))+P107(f315(f315(f317(f900(x100431,x100431)),f315(f315(f240(x100431,x100431),f315(f315(f153(x100431),x100432),f639(x100434,x100433,x100432,x100431))),f315(f315(f153(x100431),x100433),f639(x100434,x100433,x100432,x100431)))),x100434))
% 201.34/201.10 [10110]~E(f315(f178(f894(x101101)),x101102),f315(f178(f894(x101101)),x101103))+P107(f315(f315(f317(f900(f894(x101101),f894(x101101))),f315(f315(f240(f894(x101101),f894(x101101)),x101102),x101103)),f147(x101101,x101104)))+~P107(f315(f315(f317(f900(x101101,x101101)),f315(f315(f240(x101101,x101101),f315(f315(f153(x101101),x101102),f633(x101104,x101103,x101102,x101101))),f315(f315(f153(x101101),x101103),f633(x101104,x101103,x101102,x101101)))),x101104))
% 201.34/201.10 [10257]~P76(x102571)+~P107(f315(f54(x102572),x102574))+E(f315(f154(x102571),f315(f315(f143(x102572,x102571),x102573),f83(f894(x102572),f315(f315(f20(f894(x102572),a891,a891),f315(f315(f10(a891,f901(a891,a891),f894(x102572)),a313),f315(f315(f9(f894(x102572),f901(x102572,a891),a891),f315(f315(f10(f901(x102572,a891),f901(f901(x102572,a891),a891),f894(x102572)),a312),f161(x102572))),x102574))),f126(x102572))))),f220(x102572,x102571,x102573,x102574))
% 201.34/201.10 [7519]~P65(x75192)+E(x75191,f2(x75192))+E(f315(f315(f279(x75192),f315(f315(f73(x75192),x75193),f315(f315(f74(x75192),x75194),x75191))),x75191),f315(f315(f73(x75192),x75194),f315(f315(f279(x75192),x75193),x75191)))
% 201.34/201.10 [7520]~P62(x75202)+E(x75201,f2(x75202))+E(f315(f315(f29(x75202),f315(f315(f73(x75202),x75203),f315(f315(f74(x75202),x75204),x75201))),x75201),f315(f315(f73(x75202),x75204),f315(f315(f29(x75202),x75203),x75201)))
% 201.34/201.10 [7521]~P62(x75212)+E(x75211,f2(x75212))+E(f315(f315(f29(x75212),f315(f315(f73(x75212),x75213),f315(f315(f74(x75212),x75211),x75214))),x75211),f315(f315(f73(x75212),x75214),f315(f315(f29(x75212),x75213),x75211)))
% 201.34/201.10 [7749]~P66(x77492)+E(x77491,f2(x77492))+E(f315(f315(f279(x77492),f315(f315(f3(x77492),x77493),f315(f315(f74(x77492),x77491),x77494))),x77491),f315(f315(f3(x77492),f315(f315(f279(x77492),x77493),x77491)),x77494))
% 201.34/201.10 [7750]~P65(x77502)+E(x77501,f2(x77502))+E(f315(f315(f279(x77502),f315(f315(f73(x77502),x77503),f315(f315(f74(x77502),x77504),x77501))),x77501),f315(f315(f73(x77502),f315(f315(f279(x77502),x77503),x77501)),x77504))
% 201.34/201.10 [7751]~P66(x77512)+E(x77511,f2(x77512))+E(f315(f315(f279(x77512),f315(f315(f73(x77512),x77513),f315(f315(f74(x77512),x77511),x77514))),x77511),f315(f315(f73(x77512),f315(f315(f279(x77512),x77513),x77511)),x77514))
% 201.34/201.10 [8452]~P107(f315(f149(x84521,x84523),x84524))+~P107(f315(f149(x84521,x84522),x84524))+P107(f315(f149(x84521,f315(f315(f90(f901(x84521,a891)),x84522),x84523)),x84524))
% 201.34/201.10 [8825]~E(f315(f315(f277(x88251,x88251,x88251),x88252),x88254),f177(f901(f900(x88251,x88251),a891)))+~E(f315(f315(f277(x88251,x88251,x88251),x88252),x88253),f177(f901(f900(x88251,x88251),a891)))+E(f315(f315(f277(x88251,x88251,x88251),x88252),f315(f315(f99(f901(f900(x88251,x88251),a891)),x88253),x88254)),f177(f901(f900(x88251,x88251),a891)))
% 201.34/201.10 [8951]~P107(f315(f315(f223(f901(x89511,a891)),x89513),x89514))+~P107(f315(f315(f223(f901(x89511,a891)),x89512),x89514))+P107(f315(f315(f223(f901(x89511,a891)),f315(f315(f99(f901(x89511,a891)),x89512),x89513)),x89514))
% 201.34/201.10 [9326]~P107(f315(f54(x93261),x93264))+~P107(f315(f54(x93261),x93263))+E(f315(f315(f3(a893),f315(f315(f73(a893),f315(f315(f8(x93261,a893),x93262),x93263)),f315(f315(f8(x93261,a893),x93262),x93264))),f315(f315(f8(x93261,a893),x93262),f315(f315(f90(f901(x93261,a891)),x93263),x93264))),f315(f315(f8(x93261,a893),x93262),f315(f315(f99(f901(x93261,a891)),x93263),x93264)))
% 201.34/201.10 [9417]~P107(f315(f315(f317(x94171),x94173),x94172))+~P107(f315(f315(f223(f901(x94171,a891)),x94172),f315(f315(f297(x94171),x94173),x94174)))+P107(f315(f315(f223(f901(x94171,a891)),f315(f315(f3(f901(x94171,a891)),x94172),f315(f315(f297(x94171),x94173),f177(f901(x94171,a891))))),x94174))
% 201.34/201.10 [9593]~P107(f315(f315(f317(x95931),x95933),x95932))+P107(f315(f315(f223(f901(x95931,a891)),x95932),f315(f315(f297(x95931),x95933),x95934)))+~P107(f315(f315(f223(f901(x95931,a891)),f315(f315(f3(f901(x95931,a891)),x95932),f315(f315(f297(x95931),x95933),f177(f901(x95931,a891))))),x95934))
% 201.34/201.10 [9682]~P107(f315(f315(f223(a893),x96821),x96823))+~P107(f315(f315(f224(a893),x96822),x96824))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x96821),x96822)),f315(f315(f240(a893,a893),x96823),x96824))),a26))
% 201.34/201.10 [9683]~P107(f315(f315(f223(a893),x96832),x96834))+~P107(f315(f315(f223(a893),x96831),x96833))+P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),f315(f315(f240(a893,a893),x96831),x96832)),f315(f315(f240(a893,a893),x96833),x96834))),a64))
% 201.34/201.10 [9973]~P107(f315(f315(f317(f894(x99731)),x99734),f150(x99731,x99733)))+~P107(f315(f315(f317(f894(x99731)),x99734),f150(x99731,x99732)))+P107(f315(f149(x99731,f315(f315(f90(f901(x99731,a891)),f315(f315(f9(x99731,f901(x99731,a891),a891),f317(x99731)),x99732)),f315(f315(f9(x99731,f901(x99731,a891),a891),f317(x99731)),x99733))),x99734))
% 201.34/201.10 [10076]~P26(x100761,f901(f901(x100761,a891),a891),f315(f315(f9(x100761,f901(f900(x100761,x100761),a891),f901(f901(x100761,a891),a891)),f315(f315(f10(f901(x100761,a891),f901(f901(f900(x100761,x100761),a891),f901(f901(x100761,a891),a891)),x100761),f53(x100761)),f315(f315(f9(x100761,f901(x100761,a891),f901(x100761,a891)),f297(x100761)),f177(f901(x100761,a891))))),x100763),x100762)+~P107(f315(f315(f317(x100761),x100764),x100762))+E(f315(f315(f3(f901(f901(x100761,a891),a891)),f315(f315(f53(x100761),x100762),x100763)),f315(f315(f53(x100761),f315(f315(f297(x100761),x100764),f177(f901(x100761,a891)))),x100763)),f315(f315(f53(x100761),f315(f315(f3(f901(x100761,a891)),x100762),f315(f315(f297(x100761),x100764),f177(f901(x100761,a891))))),x100763))
% 201.34/201.10 [10211]~P54(x102111,x102112,x102114)+~P107(f315(f315(f317(f900(x102111,x102111)),x102113),x102114))+P107(f315(f315(f245(x102111,x102111,a891),f315(f315(f9(x102111,f901(x102111,a891),f901(x102111,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x102111,a891),f901(x102111,a891)),x102111),f10(a891,a891,x102111)),f315(f315(f10(a891,f901(a891,a891),x102111),a313),f315(f315(f9(x102111,f901(x102111,a891),a891),f317(x102111)),x102112)))),f315(f315(f9(x102111,f901(x102111,a891),a891),f317(x102111)),x102112))),x102113))
% 201.34/201.10 [10223]P107(f315(f54(x102231),x102232))+~P107(f315(f54(x102233),f315(f298(x102231,x102233,x102234),x102232)))+~P107(f315(f54(x102231),f315(f250(x102231),f315(f315(f20(x102231,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102231),a313),f315(f315(f9(x102231,f901(x102231,a891),a891),f317(x102231)),x102232))),f315(f315(f9(x102231,x102233,a891),f315(f315(f10(x102233,f901(x102233,a891),x102231),a312),x102234)),f315(x102234,f551(x102234,x102233,x102232,x102231)))))))
% 201.34/201.10 [8205]~P66(x82052)+E(x82051,f2(x82052))+E(f315(f315(f279(x82052),f315(f315(f3(x82052),f315(f315(f74(x82052),x82051),x82053)),x82054)),x82051),f315(f315(f3(x82052),x82053),f315(f315(f279(x82052),x82054),x82051)))
% 201.34/201.10 [8206]~P66(x82062)+E(x82061,f2(x82062))+E(f315(f315(f279(x82062),f315(f315(f73(x82062),f315(f315(f74(x82062),x82061),x82063)),x82064)),x82061),f315(f315(f73(x82062),x82063),f315(f315(f279(x82062),x82064),x82061)))
% 201.34/201.10 [9111]~E(f315(f315(f277(x91111,x91111,x91111),x91113),x91114),f177(f901(f900(x91111,x91111),a891)))+~E(f315(f315(f277(x91111,x91111,x91111),x91112),x91114),f177(f901(f900(x91111,x91111),a891)))+E(f315(f315(f277(x91111,x91111,x91111),f315(f315(f99(f901(f900(x91111,x91111),a891)),x91112),x91113)),x91114),f177(f901(f900(x91111,x91111),a891)))
% 201.34/201.10 [9890]~P107(f315(f149(x98901,x98903),x98904))+~P107(f315(f149(x98901,x98902),x98904))+P107(f315(f149(x98901,f315(f315(f20(x98901,a891,a891),f315(f315(f10(a891,f901(a891,a891),x98901),a313),x98902)),x98903)),x98904))
% 201.34/201.10 [10149]P107(f315(x101491,f535(x101492,x101493,x101491,x101494)))+~P107(f315(f54(x101494),f315(f250(x101494),x101491)))+P107(f315(f54(x101493),f315(f250(x101493),f315(f315(f10(f901(x101494,a891),a891,x101493),f80(x101494)),f315(f315(f10(f901(x101494,a891),f901(x101494,a891),x101493),f315(f20(x101494,a891,a891),f315(f315(f10(a891,f901(a891,a891),x101494),a313),x101491))),x101492)))))
% 201.34/201.10 [10167]~P107(f315(f54(x101672),f315(f250(x101672),x101673)))+~P107(f315(f54(x101671),f315(f250(x101671),f315(f315(f9(x101671,x101672,a891),x101674),f535(x101674,x101671,x101673,x101672)))))+P107(f315(f54(x101671),f315(f250(x101671),f315(f315(f10(f901(x101672,a891),a891,x101671),f80(x101672)),f315(f315(f10(f901(x101672,a891),f901(x101672,a891),x101671),f315(f20(x101672,a891,a891),f315(f315(f10(a891,f901(a891,a891),x101672),a313),x101673))),x101674)))))
% 201.34/201.10 [10236]~P107(f315(f54(x102361),x102364))+P107(f315(f315(f317(x102361),f773(x102362,x102363,x102364,x102361)),x102364))+P107(f315(f54(x102363),f315(f250(x102363),f315(f315(f10(f901(x102361,a891),a891,x102363),f80(x102361)),f315(f315(f10(f901(x102361,a891),f901(x102361,a891),x102363),f315(f20(x102361,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102361),a313),f315(f315(f9(x102361,f901(x102361,a891),a891),f317(x102361)),x102364)))),x102362)))))
% 201.34/201.10 [10242]~P107(f315(f54(x102422),x102423))+~P107(f315(f54(x102421),f315(f250(x102421),f315(f315(f9(x102421,x102422,a891),x102424),f773(x102424,x102421,x102423,x102422)))))+P107(f315(f54(x102421),f315(f250(x102421),f315(f315(f10(f901(x102422,a891),a891,x102421),f80(x102422)),f315(f315(f10(f901(x102422,a891),f901(x102422,a891),x102421),f315(f20(x102422,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102422),a313),f315(f315(f9(x102422,f901(x102422,a891),a891),f317(x102422)),x102423)))),x102424)))))
% 201.34/201.10 [5097]~E(x50972,x50974)+E(f158(x50971,x50972,x50973),f158(x50971,x50974,x50975))+~E(x50972,f2(a893))
% 201.34/201.10 [5346]E(x53461,x53462)+~E(f158(x53464,x53463,x53461),f158(x53464,x53465,x53462))+E(x53463,f2(a893))
% 201.34/201.10 [6639]E(x66391,x66392)+~E(f315(x66393,x66391),f315(x66393,x66392))+~P26(x66394,x66395,x66393,f230(f901(x66394,a891)))
% 201.34/201.10 [7551]E(x75511,x75512)+~P26(x75513,x75514,x75515,f230(f901(x75513,a891)))+~E(f315(f298(x75513,x75514,x75515),x75511),f315(f298(x75513,x75514,x75515),x75512))
% 201.34/201.10 [7804]P26(x78042,x78043,f490(x78044,x78043,x78042,x78041),x78041)+~E(f315(f298(x78043,x78042,x78045),x78044),x78041)+E(x78041,f177(f901(x78042,a891)))
% 201.34/201.10 [8335]~P107(f315(f315(x83353,x83352),x83355))+~P107(f315(f315(x83353,x83354),x83352))+P107(f315(f315(f317(x83351),x83352),f287(x83351,x83353,x83354,x83355)))
% 201.34/201.10 [8336]~P107(f315(f315(x83363,x83362),x83365))+~P107(f315(f315(x83363,x83364),x83362))+P107(f315(f315(f317(x83361),x83362),f278(x83361,x83363,x83364,x83365)))
% 201.34/201.10 [8641]~P26(x86411,x86412,x86413,x86414)+P27(x86411,x86412,x86413,x86414,x86415)+~E(f315(f298(x86411,x86412,x86413),x86414),x86415)
% 201.34/201.10 [8775]~P27(x87751,x87753,x87754,x87752,x87755)+~P107(f315(f54(x87753),x87755))+P107(f315(f54(x87751),x87752))
% 201.34/201.10 [8776]~P27(x87763,x87761,x87764,x87765,x87762)+~P107(f315(f54(x87763),x87765))+P107(f315(f54(x87761),x87762))
% 201.34/201.10 [8908]~P26(x89081,x89083,x89085,f230(f901(x89081,a891)))+~P26(x89083,x89082,x89084,f230(f901(x89083,a891)))+P26(x89081,x89082,f315(f66(x89083,x89082,x89081,x89084),x89085),f230(f901(x89081,a891)))
% 201.34/201.10 [9476]P107(f315(f315(f317(f900(x94761,x94761)),f315(f315(f240(x94761,x94761),x94762),x94763)),f295(x94761,x94764)))+~P107(f315(f315(f317(f900(x94761,x94761)),f315(f315(f240(x94761,x94761),x94762),x94765)),f295(x94761,x94764)))+~P107(f315(f315(f317(f900(x94761,x94761)),f315(f315(f240(x94761,x94761),x94765),x94763)),f295(x94761,x94764)))
% 201.34/201.10 [9516]~P110(x95162)+~P107(f315(f126(x95161),x95165))+P107(f315(f126(x95161),f138(x95161,x95162,x95163,x95164,x95165)))
% 201.34/201.10 [5422]~E(x54222,f102(x54221))+E(f315(f315(f123(x54221),x54222),x54223),f315(f315(f140(x54221),x54224),x54225))+~E(x54223,f315(f315(f140(x54221),x54224),x54225))
% 201.34/201.10 [5423]~E(x54232,f102(x54231))+E(f315(f315(f123(x54231),x54232),x54233),f315(f315(f140(x54231),x54234),x54235))+~E(f315(f315(f140(x54231),x54234),x54235),x54233)
% 201.34/201.10 [6595]~E(f315(f178(f894(x65951)),x65955),f315(f178(f894(x65952)),x65954))+E(f315(f315(f143(f900(x65951,x65952),x65952),f244(x65951,x65952)),x65953),x65954)+~E(f315(f315(f170(x65951,x65952),x65955),x65954),x65953)
% 201.34/201.10 [6596]~E(f315(f178(f894(x65961)),x65964),f315(f178(f894(x65962)),x65965))+E(f315(f315(f143(f900(x65961,x65962),x65961),f239(x65961,x65962)),x65963),x65964)+~E(f315(f315(f170(x65961,x65962),x65964),x65965),x65963)
% 201.34/201.10 [7084]~P110(x70841)+~P13(x70841,f315(f315(f143(x70842,x70841),x70843),x70845))+P13(x70841,f315(f315(f143(x70842,x70841),x70843),f315(f125(x70842,x70844),x70845)))
% 201.34/201.10 [7227]~P110(x72271)+P13(x72271,f315(f315(f143(x72272,x72271),x72273),f159(x72272,x72274,x72275)))+~P13(x72271,f315(f315(f143(x72272,x72271),x72273),x72275))
% 201.34/201.10 [7250]~P56(x72503,x72502,x72505)+~P56(x72501,x72503,x72504)+P56(x72501,x72502,f315(f315(f277(x72501,x72503,x72502),x72504),x72505))
% 201.34/201.10 [7347]E(x73471,x73472)+~P26(x73473,x73474,x73475,f230(f901(x73473,a891)))+~E(f315(f315(f143(x73473,x73474),x73475),x73471),f315(f315(f143(x73473,x73474),x73475),x73472))
% 201.34/201.10 [7506]~P107(f315(f315(f223(a893),x75061),f315(x75063,x75065)))+P107(f315(f315(f223(a893),x75061),f144(x75062,x75063,x75064)))+~P107(f315(f315(f317(x75062),x75065),f315(f161(x75062),x75064)))
% 201.34/201.10 [7507]~P107(f315(f315(f224(a893),x75071),f315(x75073,x75075)))+P107(f315(f315(f224(a893),x75071),f144(x75072,x75073,x75074)))+~P107(f315(f315(f317(x75072),x75075),f315(f161(x75072),x75074)))
% 201.34/201.10 [7900]P107(f315(x79001,x79002))+~P107(f315(x79001,x79003))+~P107(f315(f315(f317(x79004),x79002),f315(f161(x79004),f158(x79004,x79005,x79003))))
% 201.34/201.10 [7901]P107(f315(x79011,x79012))+~P107(f315(x79011,x79013))+~P107(f315(f315(f317(x79014),x79013),f315(f161(x79014),f158(x79014,x79015,x79012))))
% 201.34/201.10 [7906]~P111(x79061)+P107(f315(f315(f223(f901(x79061,a891)),f291(x79061,x79062,x79063)),f291(x79061,x79064,x79065)))+P107(f315(f315(f223(x79061),x79062),x79063))
% 201.34/201.10 [7927]~P5(x79271)+P107(f315(f315(f223(x79271),f315(f315(f32(x79272,x79271),x79273),x79274)),f315(x79274,x79275)))+~P107(f315(f315(f317(x79272),x79275),x79273))
% 201.34/201.10 [7996]~P26(x79961,x79962,x79964,x79963)+E(f315(f70(x79961,x79962,x79963,x79964),f315(x79964,x79965)),x79965)+~P107(f315(f315(f317(x79961),x79965),x79963))
% 201.34/201.10 [7997]~P26(x79971,x79972,x79974,x79973)+E(f315(f84(x79971,x79972,x79973,x79974),f315(x79974,x79975)),x79975)+~P107(f315(f315(f317(x79971),x79975),x79973))
% 201.34/201.10 [8194]~P107(f315(x81941,x81945))+P107(f315(x81941,f847(x81941,x81942,x81943,x81944)))+~P107(f315(f315(f317(x81944),x81945),x81943))
% 201.34/201.10 [8195]~P107(f315(x81951,x81955))+P107(f315(x81951,f847(x81951,x81952,x81953,x81954)))+~P107(f315(f315(f317(x81954),x81955),x81952))
% 201.34/201.10 [8289]P107(f315(f54(x82891),x82892))+~P107(f315(f54(x82893),x82894))+~P107(f315(f315(f223(f901(x82891,a891)),x82892),f315(f298(x82893,x82891,x82895),x82894)))
% 201.34/201.10 [8456]E(x84561,x84562)+~P26(x84563,x84564,x84565,f315(f315(f99(f901(x84563,a891)),f315(f161(x84563),x84561)),f315(f161(x84563),x84562)))+~E(f315(f315(f143(x84563,x84564),x84565),x84561),f315(f315(f143(x84563,x84564),x84565),x84562))
% 201.34/201.10 [8509]~P111(x85091)+~P107(f315(f315(f224(f901(x85091,a891)),f291(x85091,x85094,x85095)),f291(x85091,x85092,x85093)))+P107(f315(f315(f223(x85091),x85092),x85093))
% 201.34/201.10 [8571]~P26(x85711,x85714,x85715,f230(f901(x85711,a891)))+~P107(f315(f315(f317(x85714),f315(x85715,x85712)),f315(f298(x85711,x85714,x85715),x85713)))+P107(f315(f315(f317(x85711),x85712),x85713))
% 201.34/201.10 [8647]P107(f315(x86471,x86472))+~P107(f315(x86471,f856(x86471,x86473,x86474,x86475)))+~P107(f315(f315(f317(x86475),x86472),x86474))
% 201.34/201.10 [8648]P107(f315(x86481,x86482))+~P107(f315(x86481,f856(x86481,x86483,x86484,x86485)))+~P107(f315(f315(f317(x86485),x86482),x86483))
% 201.34/201.10 [8948]~P26(x89482,x89483,x89481,x89484)+E(f315(x89481,f315(f70(x89482,x89483,x89484,x89481),x89485)),x89485)+~P107(f315(f315(f317(x89483),x89485),f315(f298(x89482,x89483,x89481),x89484)))
% 201.34/201.10 [9051]E(x90511,f102(x90512))+E(f315(f315(f140(x90512),x90513),f659(x90514,x90513,x90515,x90511,x90512)),x90511)+~E(f315(f315(f123(x90512),x90511),x90515),f315(f315(f140(x90512),x90513),x90514))
% 201.34/201.10 [9052]E(x90521,f102(x90522))+E(f315(f315(f140(x90522),x90523),f660(x90524,x90521,x90525,x90523,x90522)),x90521)+~E(f315(f315(f123(x90522),x90521),x90524),f315(f315(f140(x90522),x90523),x90525))
% 201.34/201.10 [9070]E(f315(f315(f140(x90702),x90703),f659(x90704,x90703,x90701,x90705,x90702)),x90705)+~E(f315(f315(f123(x90702),x90705),x90701),f315(f315(f140(x90702),x90703),x90704))+E(x90701,f315(f315(f140(x90702),x90703),x90704))
% 201.34/201.10 [9071]E(f315(f315(f140(x90711),x90712),f660(x90714,x90715,x90713,x90712,x90711)),x90715)+~E(f315(f315(f123(x90711),x90715),x90714),f315(f315(f140(x90711),x90712),x90713))+E(f315(f315(f140(x90711),x90712),x90713),x90714)
% 201.34/201.10 [9147]~E(f315(f298(x91473,x91472,x91474),f230(f901(x91473,a891))),f230(f901(x91472,a891)))+~E(f315(f298(x91471,x91473,x91475),f230(f901(x91471,a891))),f230(f901(x91473,a891)))+E(f315(f298(x91471,x91472,f315(f66(x91473,x91472,x91471,x91474),x91475)),f230(f901(x91471,a891))),f230(f901(x91472,a891)))
% 201.34/201.10 [9522]E(x95221,f102(x95222))+~E(f315(f315(f123(x95222),x95221),x95223),f315(f315(f140(x95222),x95225),x95224))+E(f315(f315(f123(x95222),f660(x95223,x95221,x95224,x95225,x95222)),x95223),x95224)
% 201.34/201.10 [9523]E(x95231,f102(x95232))+~E(f315(f315(f123(x95232),x95231),x95235),f315(f315(f140(x95232),x95234),x95233))+E(f315(f315(f123(x95232),f659(x95233,x95234,x95235,x95231,x95232)),x95235),x95233)
% 201.34/201.10 [9530]E(f315(f315(f123(x95302),f659(x95304,x95303,x95301,x95305,x95302)),x95301),x95304)+~E(f315(f315(f123(x95302),x95305),x95301),f315(f315(f140(x95302),x95303),x95304))+E(x95301,f315(f315(f140(x95302),x95303),x95304))
% 201.34/201.10 [9531]~E(f315(f315(f123(x95311),x95315),x95314),f315(f315(f140(x95311),x95312),x95313))+E(f315(f315(f123(x95311),f660(x95314,x95315,x95313,x95312,x95311)),x95314),x95313)+E(f315(f315(f140(x95311),x95312),x95313),x95314)
% 201.34/201.10 [9532]E(f315(f315(f123(x95321),x95325),f662(x95323,x95322,x95324,x95325,x95321)),x95322)+E(f315(f315(f123(x95321),x95322),f661(x95323,x95322,x95324,x95325,x95321)),x95325)+~E(f315(f315(f123(x95321),x95325),x95324),f315(f315(f123(x95321),x95322),x95323))
% 201.34/201.10 [9569]~P110(x95691)+P13(x95691,f315(f315(f143(x95692,x95691),x95693),f138(x95692,x95691,x95693,x95694,x95695)))+~P13(x95691,f315(f315(f143(x95692,x95691),x95693),x95695))
% 201.34/201.10 [9588]~P60(x95885,x95881,x95884,x95883)+P107(f315(f315(x95881,x95882),f507(x95883,x95884,x95881,x95885,x95882)))+~P107(f315(f315(f317(x95885),x95882),x95884))
% 201.34/201.10 [9589]~P60(x95895,x95891,x95894,x95893)+P107(f315(f315(x95891,x95892),f775(x95893,x95894,x95891,x95895,x95892)))+~P107(f315(f315(f317(x95895),x95892),x95894))
% 201.34/201.10 [9694]~P107(f315(f315(f317(f900(x96941,x96941)),f315(f315(f240(x96941,x96941),x96945),x96943)),f295(x96941,x96944)))+P107(f315(f315(f317(f900(x96941,x96941)),f315(f315(f240(x96941,x96941),x96942),x96943)),f315(f315(f277(x96941,x96941,x96941),x96944),f295(x96941,x96944))))+~P107(f315(f315(f317(f900(x96941,x96941)),f315(f315(f240(x96941,x96941),x96942),x96945)),f315(f315(f277(x96941,x96941,x96941),x96944),f295(x96941,x96944))))
% 201.34/201.10 [9695]~P107(f315(f315(f317(f900(x96951,x96951)),f315(f315(f240(x96951,x96951),x96952),x96955)),f295(x96951,x96954)))+P107(f315(f315(f317(f900(x96951,x96951)),f315(f315(f240(x96951,x96951),x96952),x96953)),f315(f315(f277(x96951,x96951,x96951),x96954),f295(x96951,x96954))))+~P107(f315(f315(f317(f900(x96951,x96951)),f315(f315(f240(x96951,x96951),x96955),x96953)),f315(f315(f277(x96951,x96951,x96951),x96954),f295(x96951,x96954))))
% 201.34/201.10 [9697]P107(f315(f315(f317(f900(f894(x96971),f894(x96971))),f315(f315(f240(f894(x96971),f894(x96971)),x96972),x96973)),f147(x96971,f295(x96971,x96974))))+~P107(f315(f315(f317(f900(f894(x96971),f894(x96971))),f315(f315(f240(f894(x96971),f894(x96971)),x96972),x96975)),f147(x96971,f295(x96971,x96974))))+~P107(f315(f315(f317(f900(f894(x96971),f894(x96971))),f315(f315(f240(f894(x96971),f894(x96971)),x96975),x96973)),f147(x96971,f295(x96971,x96974))))
% 201.34/201.10 [9701]E(f315(f315(f123(x97011),x97012),f661(x97013,x97012,x97014,x97015,x97011)),x97015)+E(f315(f315(f123(x97011),f662(x97013,x97012,x97014,x97015,x97011)),x97013),x97014)+~E(f315(f315(f123(x97011),x97012),x97013),f315(f315(f123(x97011),x97015),x97014))
% 201.34/201.10 [9702]E(f315(f315(f123(x97021),x97022),f662(x97023,x97024,x97025,x97022,x97021)),x97024)+E(f315(f315(f123(x97021),f661(x97023,x97024,x97025,x97022,x97021)),x97025),x97023)+~E(f315(f315(f123(x97021),x97022),x97025),f315(f315(f123(x97021),x97024),x97023))
% 201.34/201.10 [9756]P107(f315(f315(f317(f900(x97561,x97561)),f315(f315(f240(x97561,x97561),x97562),x97563)),f315(f315(f277(x97561,x97561,x97561),x97564),f295(x97561,x97564))))+~P107(f315(f315(f317(f900(x97561,x97561)),f315(f315(f240(x97561,x97561),x97562),x97565)),f315(f315(f277(x97561,x97561,x97561),x97564),f295(x97561,x97564))))+~P107(f315(f315(f317(f900(x97561,x97561)),f315(f315(f240(x97561,x97561),x97565),x97563)),f315(f315(f277(x97561,x97561,x97561),x97564),f295(x97561,x97564))))
% 201.34/201.10 [9783]P36(x97831,x97832,x97833,x97834,x97835)+~E(f315(f178(f894(x97831)),x97834),f315(f178(f894(x97832)),x97835))+~P107(f315(f315(f245(x97831,x97832,a891),x97833),f675(x97835,x97834,x97833,x97832,x97831)))
% 201.34/201.10 [9784]P36(x97841,x97842,x97843,x97844,x97845)+~E(f315(f178(f894(x97841)),x97844),f315(f178(f894(x97842)),x97845))+~P107(f315(f315(f245(x97841,x97842,a891),x97843),f679(x97843,x97845,x97844,x97842,x97841)))
% 201.34/201.10 [9789]E(f315(f315(f123(x97891),f661(x97892,x97893,x97894,x97895,x97891)),x97894),x97892)+~E(f315(f315(f123(x97891),x97893),x97892),f315(f315(f123(x97891),x97895),x97894))+E(f315(f315(f123(x97891),f662(x97892,x97893,x97894,x97895,x97891)),x97892),x97894)
% 201.34/201.10 [9804]~P110(x98042)+E(f315(f315(f137(x98041,x98042,x98043),x98044),x98045),f315(f315(f140(x98041),x98044),x98045))+P107(f315(f315(f317(x98041),f721(x98044,x98043,x98045,x98041,x98042)),f315(f161(x98041),x98045)))
% 201.34/201.10 [9808]~P60(x98081,x98084,x98083,x98082)+~P107(f315(f315(f317(x98081),x98085),x98083))+P107(f315(f315(f317(x98081),f507(x98082,x98083,x98084,x98081,x98085)),x98082))
% 201.34/201.10 [9809]~P60(x98091,x98094,x98093,x98092)+~P107(f315(f315(f317(x98091),x98095),x98093))+P107(f315(f315(f317(x98091),f775(x98092,x98093,x98094,x98091,x98095)),x98092))
% 201.34/201.10 [9923]~P107(f315(f315(f317(f900(f901(x99231,a891),f901(x99231,a891))),f315(f315(f240(f901(x99231,a891),f901(x99231,a891)),x99234),x99233)),f306(x99231,x99232)))+~P107(f315(f315(f317(x99231),x99235),x99234))+P107(f315(f315(f317(x99231),f587(x99232,x99233,x99234,x99231,x99235)),x99233))
% 201.34/201.10 [9933]~P110(x99332)+E(f315(f315(f137(x99331,x99332,x99333),x99334),x99335),f315(f315(f140(x99331),x99334),x99335))+~P107(f315(f315(f223(x99332),f315(x99333,x99334)),f315(x99333,f721(x99334,x99333,x99335,x99331,x99332))))
% 201.34/201.10 [9982]~P26(x99823,x99824,x99825,f230(f901(x99823,a891)))+P107(f315(x99821,x99822))+~P107(f315(x99821,f315(f84(x99823,x99824,f230(f901(x99823,a891)),x99825),f789(x99822,x99821,x99825,x99824,x99823))))
% 201.34/201.10 [10127]P36(x101271,x101272,x101273,x101274,x101275)+~E(f315(f178(f894(x101271)),x101274),f315(f178(f894(x101272)),x101275))+~P107(f315(f315(x101273,f315(f315(f153(x101271),x101274),f676(x101275,x101274,x101273,x101272,x101271))),f315(f315(f153(x101272),x101275),f676(x101275,x101274,x101273,x101272,x101271))))
% 201.34/201.10 [10128]P36(x101281,x101282,x101283,x101284,x101285)+~E(f315(f178(f894(x101281)),x101284),f315(f178(f894(x101282)),x101285))+~P107(f315(f315(x101283,f315(f315(f153(x101281),x101284),f714(x101283,x101285,x101282,x101284,x101281))),f315(f315(f153(x101282),x101285),f714(x101283,x101285,x101282,x101284,x101281))))
% 201.34/201.10 [6670]~P17(x66702,x66705,x66701)+~P107(f315(f54(x66702),x66704))+E(f315(x66701,f315(f315(f297(x66702),x66703),x66704)),f315(f315(f57(x66702,x66702,x66705),x66703),x66704))
% 201.34/201.10 [6671]~E(x66713,x66714)+~E(x66712,x66715)+E(f315(f315(f297(x66711),x66712),f315(f315(f297(x66711),x66713),f177(f901(x66711,a891)))),f315(f315(f297(x66711),x66714),f315(f315(f297(x66711),x66715),f177(f901(x66711,a891)))))
% 201.34/201.10 [6682]P107(f315(x66822,x66825))+E(f166(x66821,x66822,f315(f315(f123(x66821),x66823),x66824)),f166(x66821,x66822,x66823))+~P107(f315(f315(f317(x66821),x66825),f315(f161(x66821),x66823)))
% 201.34/201.10 [6720]E(f315(x67201,x67202),f177(f901(x67203,a891)))+~E(f315(f315(f33(x67204,f901(x67203,a891)),x67205),x67201),f177(f901(x67203,a891)))+~P107(f315(f315(f317(x67204),x67202),x67205))
% 201.34/201.10 [6721]E(f315(x67211,x67212),f230(f901(x67213,a891)))+~E(f315(f315(f32(x67214,f901(x67213,a891)),x67215),x67211),f230(f901(x67213,a891)))+~P107(f315(f315(f317(x67214),x67212),x67215))
% 201.34/201.10 [7237]~E(x72372,x72374)+~P129(x72371)+E(f315(f315(f73(x72371),f315(f315(f74(x72371),x72372),x72373)),f315(f315(f74(x72371),x72374),x72375)),f315(f315(f73(x72371),f315(f315(f74(x72371),x72372),x72375)),f315(f315(f74(x72371),x72374),x72373)))
% 201.34/201.10 [7299]~P5(x72991)+~P107(f315(f315(f317(x72994),x72993),x72995))+P107(f315(f315(f223(x72991),f315(x72992,x72993)),f315(f315(f33(x72994,x72991),x72995),x72992)))
% 201.34/201.10 [7352]~P109(x73521)+P107(f315(f315(f223(x73521),f315(x73522,x73523)),f315(x73524,x73523)))+~P107(f315(f315(f223(f901(x73525,x73521)),x73522),x73524))
% 201.34/201.10 [7475]E(x74751,x74752)+E(x74753,x74751)+~E(f315(f315(f297(x74754),x74751),f315(f315(f297(x74754),x74755),f177(f901(x74754,a891)))),f315(f315(f297(x74754),x74752),f315(f315(f297(x74754),x74753),f177(f901(x74754,a891)))))
% 201.34/201.10 [7476]E(x74761,x74762)+E(x74763,x74761)+~E(f315(f315(f297(x74764),x74763),f315(f315(f297(x74764),x74762),f177(f901(x74764,a891)))),f315(f315(f297(x74764),x74765),f315(f315(f297(x74764),x74761),f177(f901(x74764,a891)))))
% 201.34/201.10 [7477]E(x74771,x74772)+E(x74771,x74773)+~E(f315(f315(f297(x74774),x74773),f315(f315(f297(x74774),x74772),f177(f901(x74774,a891)))),f315(f315(f297(x74774),x74775),f315(f315(f297(x74774),x74771),f177(f901(x74774,a891)))))
% 201.34/201.10 [7478]E(x74781,x74782)+E(x74781,x74783)+~E(f315(f315(f297(x74784),x74781),f315(f315(f297(x74784),x74785),f177(f901(x74784,a891)))),f315(f315(f297(x74784),x74782),f315(f315(f297(x74784),x74783),f177(f901(x74784,a891)))))
% 201.34/201.10 [8006]P26(x80061,x80062,x80063,x80064)+~P26(x80061,x80062,x80063,x80065)+~P107(f315(f315(f223(f901(x80061,a891)),x80064),x80065))
% 201.34/201.10 [8036]~E(f315(x80363,x80365),x80364)+~P26(x80361,x80362,x80363,f230(f901(x80361,a891)))+E(f315(f84(x80361,x80362,f230(f901(x80361,a891)),x80363),x80364),x80365)
% 201.34/201.10 [8182]E(x81821,x81822)+~E(f315(f298(x81823,x81824,x81825),x81821),f315(f298(x81823,x81824,x81825),x81822))+~P26(x81823,x81824,x81825,f315(f315(f99(f901(x81823,a891)),x81821),x81822))
% 201.34/201.10 [8259]P107(f315(x82592,x82594))+E(f315(f315(f127(x82591),f315(f178(f894(x82591)),f166(x82591,x82592,x82593))),x82593),f315(f315(f140(x82591),x82594),x82595))+~E(f315(f315(f123(x82591),f166(x82591,x82592,x82593)),f315(f315(f140(x82591),x82594),x82595)),x82593)
% 201.34/201.10 [8287]~P26(x82871,x82872,x82873,x82875)+~P26(x82871,x82872,x82873,x82874)+P26(x82871,x82872,x82873,f315(f315(f90(f901(x82871,a891)),x82874),x82875))
% 201.34/201.10 [8394]~P76(x83941)+E(f315(f315(f73(x83941),f315(x83942,x83943)),f315(f154(x83941),f315(f315(f143(x83944,x83941),x83942),f159(x83944,x83943,x83945)))),f315(f154(x83941),f315(f315(f143(x83944,x83941),x83942),x83945)))+~P107(f315(f315(f317(x83944),x83943),f315(f161(x83944),x83945)))
% 201.34/201.10 [8482]~P110(x84821)+~P13(x84821,f315(f315(f143(x84822,x84821),x84823),x84825))+P13(x84821,f315(f315(f143(x84822,x84821),x84823),f315(f315(f137(x84822,x84821,x84823),x84824),x84825)))
% 201.34/201.10 [8567]~P5(x85671)+P107(f315(f315(f223(x85671),f315(f315(f32(x85672,x85671),x85673),x85674)),f315(f315(f32(x85672,x85671),x85675),x85674)))+~P107(f315(f315(f223(f901(x85672,a891)),x85675),x85673))
% 201.34/201.10 [8568]~P5(x85681)+P107(f315(f315(f223(x85681),f315(f315(f33(x85682,x85681),x85683),x85684)),f315(f315(f33(x85682,x85681),x85685),x85684)))+~P107(f315(f315(f223(f901(x85682,a891)),x85683),x85685))
% 201.34/201.10 [8601]~P110(x86013)+P107(f315(f126(x86011),x86012))+~P107(f315(f126(x86011),f315(f315(f137(x86011,x86013,x86014),x86015),x86012)))
% 201.34/201.10 [8747]~P110(x87471)+~P107(f315(f315(f317(x87472),x87473),f315(f161(x87472),x87474)))+~P107(f315(f126(x87472),f315(f315(f137(x87472,x87471,x87475),x87473),x87474)))
% 201.34/201.10 [8837]~P110(x88371)+P13(x88371,f315(f315(f143(x88372,x88371),x88373),x88374))+~P13(x88371,f315(f315(f143(x88372,x88371),x88373),f315(f315(f137(x88372,x88371,x88373),x88375),x88374)))
% 201.34/201.10 [8883]~P26(x88832,x88831,x88834,x88833)+E(f315(f298(x88831,x88832,f84(x88832,x88831,x88833,x88834)),f315(f298(x88832,x88831,x88834),x88835)),x88835)+~P107(f315(f315(f223(f901(x88832,a891)),x88835),x88833))
% 201.34/201.10 [8936]~P110(x89362)+E(f315(f315(f137(x89361,x89362,x89363),x89364),x89365),f138(x89361,x89362,x89363,x89364,x89365))+P107(f315(f315(f317(x89362),f315(x89363,x89364)),f315(f298(x89361,x89362,x89363),f315(f161(x89361),x89365))))
% 201.34/201.10 [9017]~P110(x90172)+E(f138(x90171,x90172,x90173,x90174,x90175),x90175)+~P107(f315(f315(f317(x90172),f315(x90173,x90174)),f315(f298(x90171,x90172,x90173),f315(f161(x90171),x90175))))
% 201.34/201.10 [9031]~P26(x90312,x90311,x90313,x90315)+P107(f315(f315(f224(f901(x90311,a891)),f315(f298(x90312,x90311,x90313),x90314)),f315(f298(x90312,x90311,x90313),x90315)))+~P107(f315(f315(f224(f901(x90312,a891)),x90314),x90315))
% 201.34/201.10 [9188]~P26(x91881,x91882,x91883,f230(f901(x91881,a891)))+~P107(f315(f315(f223(f901(x91882,a891)),x91884),f315(f298(x91881,x91882,x91883),x91885)))+P107(f315(f315(f223(f901(x91881,a891)),f315(f299(x91881,x91882,x91883),x91884)),x91885))
% 201.34/201.10 [9211]~E(f315(f298(x92113,x92111,x92114),f230(f901(x92113,a891))),f230(f901(x92111,a891)))+P107(f315(f315(f223(f901(x92111,a891)),x92112),f315(f298(x92113,x92111,x92114),x92115)))+~P107(f315(f315(f223(f901(x92113,a891)),f315(f299(x92113,x92111,x92114),x92112)),x92115))
% 201.34/201.10 [9318]~P26(x93181,x93184,x93185,f230(f901(x93181,a891)))+~P107(f315(f315(f223(f901(x93184,a891)),f315(f298(x93181,x93184,x93185),x93182)),f315(f298(x93181,x93184,x93185),x93183)))+P107(f315(f315(f223(f901(x93181,a891)),x93182),x93183))
% 201.34/201.10 [9444]~P85(x94441)+~E(f315(x94443,f697(x94443,x94444,x94445,x94442,x94441)),f2(x94441))+E(f315(f154(x94441),f315(f315(f143(x94442,x94441),x94443),f315(f125(x94442,x94444),x94445))),f315(f154(x94441),f315(f315(f143(x94442,x94441),x94443),x94445)))
% 201.34/201.10 [9471]~P27(x94711,x94712,x94713,f230(f901(x94711,a891)),f230(f901(x94712,a891)))+~P107(f315(f315(f223(f901(x94712,a891)),x94714),f315(f298(x94711,x94712,x94713),x94715)))+P107(f315(f315(f223(f901(x94711,a891)),f315(f299(x94711,x94712,x94713),x94714)),x94715))
% 201.34/201.10 [9500]~P27(x95003,x95001,x95004,f230(f901(x95003,a891)),f230(f901(x95001,a891)))+P107(f315(f315(f223(f901(x95001,a891)),x95002),f315(f298(x95003,x95001,x95004),x95005)))+~P107(f315(f315(f223(f901(x95003,a891)),f315(f299(x95003,x95001,x95004),x95002)),x95005))
% 201.34/201.10 [9635]~P16(x96351,x96352,x96353)+~P107(f315(f54(x96351),x96355))+P107(f315(f59(x96351,x96352,x96353,x96354,x96355),f315(f315(f57(x96351,x96352,x96353),x96354),x96355)))
% 201.34/201.10 [9714]~P27(x97142,x97141,x97144,f230(f901(x97142,a891)),f230(f901(x97141,a891)))+~P27(x97141,x97143,x97145,f230(f901(x97141,a891)),f230(f901(x97143,a891)))+E(f315(f66(x97141,x97142,x97143,f84(x97142,x97141,f230(f901(x97142,a891)),x97144)),f84(x97141,x97143,f230(f901(x97141,a891)),x97145)),f84(x97142,x97143,f230(f901(x97142,a891)),f315(f66(x97141,x97143,x97142,x97145),x97144)))
% 201.34/201.10 [9715]P107(f315(x97151,f621(x97152,x97151,x97153,x97154,x97155)))+~P107(f315(f315(f223(f901(x97155,a891)),x97154),x97153))+P107(f315(f315(f223(f901(x97155,a891)),f315(f315(f90(f901(x97155,a891)),x97154),f315(f250(x97155),x97151))),f315(f315(f90(f901(x97155,a891)),x97153),f315(f250(x97155),x97152))))
% 201.34/201.10 [9729]~P85(x97291)+~P107(f315(x97294,f697(x97293,x97294,x97295,x97292,x97291)))+E(f315(f154(x97291),f315(f315(f143(x97292,x97291),x97293),f315(f125(x97292,x97294),x97295))),f315(f154(x97291),f315(f315(f143(x97292,x97291),x97293),x97295)))
% 201.34/201.10 [9806]~P5(x98065)+P107(f315(f315(f317(x98061),f401(x98062,x98063,x98061,x98064,x98065)),x98063))+P107(f315(f315(f223(x98065),x98064),f315(f315(f32(x98061,x98065),x98063),x98062)))
% 201.34/201.10 [9810]~P85(x98101)+E(f315(f154(x98101),f315(f315(f143(x98102,x98101),x98103),f315(f125(x98102,x98104),x98105))),f315(f154(x98101),f315(f315(f143(x98102,x98101),x98103),x98105)))+P107(f315(f315(f317(x98102),f697(x98103,x98104,x98105,x98102,x98101)),f315(f161(x98102),x98105)))
% 201.34/201.10 [9820]~P107(f315(x98205,f621(x98205,x98203,x98204,x98202,x98201)))+~P107(f315(f315(f223(f901(x98201,a891)),x98202),x98204))+P107(f315(f315(f223(f901(x98201,a891)),f315(f315(f90(f901(x98201,a891)),x98202),f315(f250(x98201),x98203))),f315(f315(f90(f901(x98201,a891)),x98204),f315(f250(x98201),x98205))))
% 201.34/201.10 [9836]~P26(x98365,x98363,x98364,f230(f901(x98365,a891)))+P107(f315(x98361,x98362))+P107(f315(f315(f317(x98363),f789(x98362,x98361,x98364,x98363,x98365)),f315(f298(x98365,x98363,x98364),f230(f901(x98365,a891)))))
% 201.34/201.10 [9859]P36(x98591,x98592,x98593,x98594,x98595)+~E(f315(f178(f894(x98592)),x98595),f315(f178(f894(x98591)),x98594))+P107(f315(f315(f224(a893),f676(x98595,x98594,x98593,x98592,x98591)),f315(f178(f894(x98591)),x98594)))
% 201.34/201.10 [9860]P36(x98601,x98602,x98603,x98604,x98605)+~E(f315(f178(f894(x98602)),x98605),f315(f178(f894(x98601)),x98604))+P107(f315(f315(f224(a893),f714(x98603,x98605,x98602,x98604,x98601)),f315(f178(f894(x98601)),x98604)))
% 201.34/201.10 [9891]P107(f315(f315(f317(x98911),f621(x98912,x98913,x98914,x98915,x98911)),x98915))+~P107(f315(f315(f223(f901(x98911,a891)),x98915),x98914))+P107(f315(f315(f223(f901(x98911,a891)),f315(f315(f90(f901(x98911,a891)),x98915),f315(f250(x98911),x98913))),f315(f315(f90(f901(x98911,a891)),x98914),f315(f250(x98911),x98912))))
% 201.34/201.10 [9934]~P5(x99341)+~P107(f315(f315(f223(x99341),x99342),f315(x99345,f401(x99345,x99344,x99343,x99342,x99341))))+P107(f315(f315(f223(x99341),x99342),f315(f315(f32(x99343,x99341),x99344),x99345)))
% 201.34/201.10 [9971]~P72(x99711)+~P107(f315(f54(x99712),x99715))+E(f315(f315(f315(f58(x99711,x99712,f74(x99711)),f315(f315(f20(x99712,x99711,x99711),f315(f315(f10(x99711,f901(x99711,x99711),x99712),f74(x99711)),x99713)),x99714)),f71(x99711)),x99715),f315(f315(f74(x99711),f315(f315(f315(f58(x99711,x99712,f74(x99711)),x99713),f71(x99711)),x99715)),f315(f315(f315(f58(x99711,x99712,f74(x99711)),x99714),f71(x99711)),x99715)))
% 201.34/201.10 [10026]~P107(f315(f315(f317(f900(f901(x100261,a891),f901(x100261,a891))),f315(f315(f240(f901(x100261,a891),f901(x100261,a891)),x100265),x100264)),f306(x100261,x100263)))+~P107(f315(f315(f317(x100261),x100262),x100265))+P107(f315(f315(f317(f900(x100261,x100261)),f315(f315(f240(x100261,x100261),x100262),f587(x100263,x100264,x100265,x100261,x100262))),x100263))
% 201.34/201.10 [10164]~P107(f315(f315(f317(f900(f894(x101641),f894(x101641))),f315(f315(f240(f894(x101641),f894(x101641)),f315(f315(f123(x101641),x101645),x101642)),f315(f315(f123(x101641),x101645),x101643))),f136(x101641,x101644)))+P107(f315(f315(f317(f900(f894(x101641),f894(x101641))),f315(f315(f240(f894(x101641),f894(x101641)),x101642),x101643)),f136(x101641,x101644)))+P107(f315(f315(f317(f900(x101641,x101641)),f315(f315(f240(x101641,x101641),f667(x101644,x101643,x101642,x101645,x101641)),f667(x101644,x101643,x101642,x101645,x101641))),x101644))
% 201.34/201.10 [7355]~E(x73553,x73555)+E(f315(f315(f153(x73551),f315(f315(f148(x73551,x73552),x73553),x73554)),x73555),x73554)+~P107(f315(f315(f224(a893),x73553),f315(f178(f894(x73551)),x73552)))
% 201.34/201.10 [7471]~E(f315(f315(f123(x74711),x74712),x74714),f315(f315(f123(x74711),x74713),x74715))+E(f315(f315(f164(x74711),f315(f178(f894(x74711)),x74712)),x74713),x74712)+P107(f315(f315(f223(a893),f315(f178(f894(x74711)),x74713)),f315(f178(f894(x74711)),x74712)))
% 201.34/201.10 [7967]~E(f315(f315(f123(x79671),x79672),x79674),f315(f315(f123(x79671),x79673),x79675))+E(f315(f315(f164(x79671),f315(f178(f894(x79671)),x79672)),x79673),x79672)+~P107(f315(f315(f223(a893),f315(f178(f894(x79671)),x79672)),f315(f178(f894(x79671)),x79673)))
% 201.34/201.10 [7991]~P107(f315(f54(x79911),f315(x79914,x79915)))+~P107(f315(f315(f317(x79912),x79915),x79913))+P107(f315(f54(x79911),f315(f315(f32(x79912,f901(x79911,a891)),x79913),x79914)))
% 201.34/201.10 [8166]~P54(x81661,x81663,x81665)+~P54(x81661,x81662,x81664)+P54(x81661,f315(f315(f99(f901(x81661,a891)),x81662),x81663),f315(f315(f99(f901(f900(x81661,x81661),a891)),x81664),x81665))
% 201.34/201.10 [8167]~P54(x81671,x81673,x81675)+~P54(x81671,x81672,x81674)+P54(x81671,f315(f315(f90(f901(x81671,a891)),x81672),x81673),f315(f315(f90(f901(f900(x81671,x81671),a891)),x81674),x81675))
% 201.34/201.10 [8522]E(f315(f315(f240(x85221,x85222),f315(f315(f153(x85221),x85223),x85224)),f315(f315(f153(x85222),x85225),x85224)),f315(f315(f153(f900(x85221,x85222)),f315(f315(f170(x85221,x85222),x85223),x85225)),x85224))+~P107(f315(f315(f224(a893),x85224),f315(f178(f894(x85221)),x85223)))+~P107(f315(f315(f224(a893),x85224),f315(f178(f894(x85222)),x85225)))
% 201.34/201.10 [8675]~P54(x86751,x86753,x86754)+P107(f315(f315(f317(x86751),x86752),x86753))+~P107(f315(f315(f317(f900(x86751,x86751)),f315(f315(f240(x86751,x86751),x86755),x86752)),x86754))
% 201.34/201.10 [8676]~P54(x86761,x86763,x86764)+P107(f315(f315(f317(x86761),x86762),x86763))+~P107(f315(f315(f317(f900(x86761,x86761)),f315(f315(f240(x86761,x86761),x86762),x86765)),x86764))
% 201.34/201.10 [8677]~P8(x86771,x86773,x86774)+P107(f315(f315(f317(x86771),x86772),x86773))+~P107(f315(f315(f317(f900(x86771,x86771)),f315(f315(f240(x86771,x86771),x86775),x86772)),x86774))
% 201.34/201.10 [8678]~P8(x86781,x86783,x86784)+P107(f315(f315(f317(x86781),x86782),x86783))+~P107(f315(f315(f317(f900(x86781,x86781)),f315(f315(f240(x86781,x86781),x86782),x86785)),x86784))
% 201.34/201.10 [8960]~P8(x89601,x89605,x89602)+E(f315(f273(x89601,x89601,x89602),f315(f315(f297(x89601),x89603),f177(f901(x89601,a891)))),f315(f273(x89601,x89601,x89602),f315(f315(f297(x89601),x89604),f177(f901(x89601,a891)))))+~P107(f315(f315(f317(f900(x89601,x89601)),f315(f315(f240(x89601,x89601),x89603),x89604)),x89602))
% 201.34/201.10 [9144]P107(f315(x91441,x91442))+~P107(f315(f315(f317(x91443),x91442),x91445))+P107(f315(f315(f317(x91443),f856(x91441,x91444,x91445,x91443)),f315(f315(f99(f901(x91443,a891)),x91445),x91444)))
% 201.34/201.10 [9145]P107(f315(x91451,x91452))+~P107(f315(f315(f317(x91453),x91452),x91454))+P107(f315(f315(f317(x91453),f856(x91451,x91454,x91455,x91453)),f315(f315(f99(f901(x91453,a891)),x91455),x91454)))
% 201.34/201.10 [9153]~P107(f315(x91532,x91535))+~P107(f315(f315(f317(x91531),x91535),x91534))+P107(f315(f315(f317(x91531),f847(x91532,x91533,x91534,x91531)),f315(f315(f99(f901(x91531,a891)),x91534),x91533)))
% 201.34/201.10 [9154]~P107(f315(x91542,x91545))+~P107(f315(f315(f317(x91541),x91545),x91543))+P107(f315(f315(f317(x91541),f847(x91542,x91543,x91544,x91541)),f315(f315(f99(f901(x91541,a891)),x91544),x91543)))
% 201.34/201.10 [9169]~P107(f315(f315(f223(f901(x91691,a891)),x91693),x91695))+~P107(f315(f315(f223(f901(x91691,a891)),x91692),x91694))+P107(f315(f315(f223(f901(x91691,a891)),f315(f315(f99(f901(x91691,a891)),x91692),x91693)),f315(f315(f99(f901(x91691,a891)),x91694),x91695)))
% 201.34/201.10 [9170]~P107(f315(f315(f223(f901(x91701,a891)),x91705),x91703))+~P107(f315(f315(f223(f901(x91701,a891)),x91702),x91704))+P107(f315(f315(f223(f901(x91701,a891)),f315(f315(f3(f901(x91701,a891)),x91702),x91703)),f315(f315(f3(f901(x91701,a891)),x91704),x91705)))
% 201.34/201.10 [9171]~P107(f315(f315(f223(f901(x91711,a891)),x91713),x91715))+~P107(f315(f315(f223(f901(x91711,a891)),x91712),x91714))+P107(f315(f315(f223(f901(x91711,a891)),f315(f315(f90(f901(x91711,a891)),x91712),x91713)),f315(f315(f90(f901(x91711,a891)),x91714),x91715)))
% 201.34/201.10 [9265]P107(f315(f315(f317(f900(x92651,x92651)),f315(f315(f240(x92651,x92651),x92652),x92653)),f309(x92651,x92654,x92655)))+~P107(f315(f315(f223(a893),f315(x92654,x92652)),f315(x92654,x92653)))+~P107(f315(f315(f317(f900(x92651,x92651)),f315(f315(f240(x92651,x92651),x92652),x92653)),x92655))
% 201.34/201.10 [9454]P107(f315(f315(f317(f900(x94541,x94541)),f315(f315(f240(x94541,x94541),x94542),x94543)),f295(x94541,x94544)))+~P107(f315(f315(f317(f900(x94541,x94541)),f315(f315(f240(x94541,x94541),x94542),x94545)),f295(x94541,x94544)))+~P107(f315(f315(f317(f900(x94541,x94541)),f315(f315(f240(x94541,x94541),x94545),x94543)),x94544))
% 201.34/201.10 [9455]P107(f315(f315(f317(f900(x94551,x94551)),f315(f315(f240(x94551,x94551),x94552),x94553)),f295(x94551,x94554)))+~P107(f315(f315(f317(f900(x94551,x94551)),f315(f315(f240(x94551,x94551),x94555),x94553)),f295(x94551,x94554)))+~P107(f315(f315(f317(f900(x94551,x94551)),f315(f315(f240(x94551,x94551),x94552),x94555)),x94554))
% 201.34/201.10 [9556]E(x95561,x95562)+E(f315(a101,f604(x95563,x95564,x95561,x95562,x95565)),x95564)+~P107(f315(f315(f317(f900(x95565,x95565)),f315(f315(f240(x95565,x95565),x95562),x95561)),f315(f315(f172(f900(x95565,x95565),a891),x95564),x95563)))
% 201.34/201.10 [9557]E(x95571,x95572)+E(f315(a101,f606(x95573,x95574,x95571,x95572,x95575)),x95574)+~P107(f315(f315(f317(f900(x95575,x95575)),f315(f315(f240(x95575,x95575),x95572),x95571)),f315(f315(f172(f900(x95575,x95575),a891),x95574),x95573)))
% 201.34/201.10 [9558]E(x95581,f2(a893))+E(f315(a101,f604(x95582,x95581,x95583,x95584,x95585)),x95581)+~P107(f315(f315(f317(f900(x95585,x95585)),f315(f315(f240(x95585,x95585),x95584),x95583)),f315(f315(f172(f900(x95585,x95585),a891),x95581),x95582)))
% 201.34/201.10 [9559]E(x95591,f2(a893))+E(f315(a101,f606(x95592,x95591,x95593,x95594,x95595)),x95591)+~P107(f315(f315(f317(f900(x95595,x95595)),f315(f315(f240(x95595,x95595),x95594),x95593)),f315(f315(f172(f900(x95595,x95595),a891),x95591),x95592)))
% 201.34/201.10 [9584]P107(f315(f315(f317(f900(x95841,x95841)),f315(f315(f240(x95841,x95841),x95842),x95843)),f315(f315(f277(x95841,x95841,x95841),x95844),f295(x95841,x95844))))+~P107(f315(f315(f317(f900(x95841,x95841)),f315(f315(f240(x95841,x95841),x95842),x95845)),x95844))+~P107(f315(f315(f317(f900(x95841,x95841)),f315(f315(f240(x95841,x95841),x95845),x95843)),x95844))
% 201.34/201.10 [9594]~P107(f315(f315(f317(f900(x95941,x95941)),f315(f315(f240(x95941,x95941),x95942),x95945)),f295(x95941,x95944)))+P107(f315(f315(f317(f900(x95941,x95941)),f315(f315(f240(x95941,x95941),x95942),x95943)),f315(f315(f277(x95941,x95941,x95941),x95944),f295(x95941,x95944))))+~P107(f315(f315(f317(f900(x95941,x95941)),f315(f315(f240(x95941,x95941),x95945),x95943)),x95944))
% 201.34/201.10 [9629]~P8(x96291,x96295,x96292)+~P107(f315(f315(f317(f900(x96291,x96291)),f315(f315(f240(x96291,x96291),x96293),x96294)),x96292))+P107(f315(f315(f223(f901(x96291,a891)),f315(f273(x96291,x96291,x96292),f315(f315(f297(x96291),x96293),f177(f901(x96291,a891))))),f315(f273(x96291,x96291,x96292),f315(f315(f297(x96291),x96294),f177(f901(x96291,a891))))))
% 201.34/201.10 [9687]P107(f315(f315(f317(f900(x96871,x96871)),f315(f315(f240(x96871,x96871),x96872),x96873)),f315(f315(f277(x96871,x96871,x96871),x96874),f295(x96871,x96874))))+~P107(f315(f315(f317(f900(x96871,x96871)),f315(f315(f240(x96871,x96871),x96872),x96875)),f315(f315(f277(x96871,x96871,x96871),x96874),f295(x96871,x96874))))+~P107(f315(f315(f317(f900(x96871,x96871)),f315(f315(f240(x96871,x96871),x96875),x96873)),x96874))
% 201.34/201.10 [9688]P107(f315(f315(f317(f900(x96881,x96881)),f315(f315(f240(x96881,x96881),x96882),x96883)),f315(f315(f277(x96881,x96881,x96881),x96884),f295(x96881,x96884))))+~P107(f315(f315(f317(f900(x96881,x96881)),f315(f315(f240(x96881,x96881),x96885),x96883)),f315(f315(f277(x96881,x96881,x96881),x96884),f295(x96881,x96884))))+~P107(f315(f315(f317(f900(x96881,x96881)),f315(f315(f240(x96881,x96881),x96882),x96885)),x96884))
% 201.34/201.10 [9738]~P107(f315(f59(x97381,x97381,x97384,x97382,x97383),x97385))+P107(f315(f315(f317(x97381),x97382),x97383))+P107(f315(f55(x97381,x97384,f315(f315(f297(x97381),x97382),x97383)),x97385))
% 201.34/201.10 [9776]~E(f315(f298(x97763,x97762,x97765),x97764),x97761)+E(x97761,f177(f901(x97762,a891)))+P107(f315(f315(f223(f901(x97763,a891)),f315(f298(x97762,x97763,f490(x97764,x97763,x97762,x97761)),x97761)),x97764))
% 201.34/201.10 [9823]~P5(x98235)+P107(f315(f315(f317(x98231),f447(x98232,x98233,x98234,x98231,x98235)),x98234))+P107(f315(f315(f223(x98235),f315(f315(f33(x98231,x98235),x98234),x98233)),x98232))
% 201.34/201.10 [9878]P36(x98781,x98782,x98783,x98784,x98785)+~E(f315(f178(f894(x98781)),x98784),f315(f178(f894(x98782)),x98785))+P107(f315(f315(f317(f900(x98781,x98782)),f675(x98785,x98784,x98783,x98782,x98781)),f315(f161(f900(x98781,x98782)),f315(f315(f170(x98781,x98782),x98784),x98785))))
% 201.34/201.10 [9879]P36(x98791,x98792,x98793,x98794,x98795)+~E(f315(f178(f894(x98791)),x98794),f315(f178(f894(x98792)),x98795))+P107(f315(f315(f317(f900(x98791,x98792)),f679(x98793,x98795,x98794,x98792,x98791)),f315(f161(f900(x98791,x98792)),f315(f315(f170(x98791,x98792),x98794),x98795))))
% 201.34/201.10 [10005]E(x100051,x100052)+P107(f315(f315(f317(f900(x100053,x100053)),f315(f315(f240(x100053,x100053),x100051),f607(x100054,x100055,x100052,x100051,x100053))),x100054))+~P107(f315(f315(f317(f900(x100053,x100053)),f315(f315(f240(x100053,x100053),x100051),x100052)),f315(f315(f172(f900(x100053,x100053),a891),x100055),x100054)))
% 201.34/201.10 [10006]E(x100061,f2(a893))+P107(f315(f315(f317(f900(x100062,x100062)),f315(f315(f240(x100062,x100062),x100063),f607(x100064,x100061,x100065,x100063,x100062))),x100064))+~P107(f315(f315(f317(f900(x100062,x100062)),f315(f315(f240(x100062,x100062),x100063),x100065)),f315(f315(f172(f900(x100062,x100062),a891),x100061),x100064)))
% 201.34/201.10 [10045]~P5(x100451)+~P107(f315(f315(f223(x100451),f315(x100454,f447(x100455,x100454,x100453,x100452,x100451))),x100455))+P107(f315(f315(f223(x100451),f315(f315(f33(x100452,x100451),x100453),x100454)),x100455))
% 201.34/201.10 [10097]E(x100971,x100972)+P107(f315(f315(f317(f900(x100973,x100973)),f315(f315(f240(x100973,x100973),f605(x100974,x100975,x100971,x100972,x100973)),x100971)),x100974))+~P107(f315(f315(f317(f900(x100973,x100973)),f315(f315(f240(x100973,x100973),x100972),x100971)),f315(f315(f172(f900(x100973,x100973),a891),x100975),x100974)))
% 201.34/201.10 [10098]E(x100981,f2(a893))+P107(f315(f315(f317(f900(x100982,x100982)),f315(f315(f240(x100982,x100982),f605(x100983,x100981,x100984,x100985,x100982)),x100984)),x100983))+~P107(f315(f315(f317(f900(x100982,x100982)),f315(f315(f240(x100982,x100982),x100985),x100984)),f315(f315(f172(f900(x100982,x100982),a891),x100981),x100983)))
% 201.34/201.10 [10102]E(x101021,x101022)+P107(f315(f315(f317(f900(x101023,x101023)),f315(f315(f240(x101023,x101023),x101021),f605(x101024,x101025,x101022,x101021,x101023))),f315(f315(f172(f900(x101023,x101023),a891),f604(x101024,x101025,x101022,x101021,x101023)),x101024)))+~P107(f315(f315(f317(f900(x101023,x101023)),f315(f315(f240(x101023,x101023),x101021),x101022)),f315(f315(f172(f900(x101023,x101023),a891),x101025),x101024)))
% 201.34/201.10 [10103]E(x101031,f2(a893))+P107(f315(f315(f317(f900(x101032,x101032)),f315(f315(f240(x101032,x101032),x101033),f605(x101034,x101031,x101035,x101033,x101032))),f315(f315(f172(f900(x101032,x101032),a891),f604(x101034,x101031,x101035,x101033,x101032)),x101034)))+~P107(f315(f315(f317(f900(x101032,x101032)),f315(f315(f240(x101032,x101032),x101033),x101035)),f315(f315(f172(f900(x101032,x101032),a891),x101031),x101034)))
% 201.34/201.10 [10155]E(x101551,x101552)+P107(f315(f315(f317(f900(x101553,x101553)),f315(f315(f240(x101553,x101553),f607(x101554,x101555,x101551,x101552,x101553)),x101551)),f315(f315(f172(f900(x101553,x101553),a891),f606(x101554,x101555,x101551,x101552,x101553)),x101554)))+~P107(f315(f315(f317(f900(x101553,x101553)),f315(f315(f240(x101553,x101553),x101552),x101551)),f315(f315(f172(f900(x101553,x101553),a891),x101555),x101554)))
% 201.34/201.10 [10156]E(x101561,f2(a893))+P107(f315(f315(f317(f900(x101562,x101562)),f315(f315(f240(x101562,x101562),f607(x101563,x101561,x101564,x101565,x101562)),x101564)),f315(f315(f172(f900(x101562,x101562),a891),f606(x101563,x101561,x101564,x101565,x101562)),x101563)))+~P107(f315(f315(f317(f900(x101562,x101562)),f315(f315(f240(x101562,x101562),x101565),x101564)),f315(f315(f172(f900(x101562,x101562),a891),x101561),x101563)))
% 201.34/201.10 [10189]~P76(x101892)+~P107(f315(f54(x101891),x101895))+E(f315(f315(f8(x101891,x101892),f315(f315(f9(x101891,x101892,x101892),f315(f315(f20(x101891,x101892,f901(x101892,x101892)),f315(f315(f10(a891,f901(x101892,f901(x101892,x101892)),x101891),f85(x101892)),f315(f315(f9(x101891,f901(x101891,a891),a891),f317(x101891)),x101893))),x101894)),f2(x101892))),x101895),f315(f315(f8(x101891,x101892),x101894),f315(f315(f90(f901(x101891,a891)),x101895),x101893)))
% 201.34/201.10 [8744]~P76(x87441)+~P107(f315(f54(x87444),x87445))+E(f315(f315(f73(x87441),f315(x87442,x87443)),f315(f315(f8(x87444,x87441),x87442),f315(f315(f3(f901(x87444,a891)),x87445),f315(f315(f297(x87444),x87443),f177(f901(x87444,a891)))))),f315(f315(f8(x87444,x87441),x87442),f315(f315(f297(x87444),x87443),x87445)))
% 201.34/201.10 [8745]~P72(x87451)+~P107(f315(f54(x87454),x87455))+E(f315(f315(f74(x87451),f315(x87452,x87453)),f315(f315(f11(x87454,x87451),x87452),f315(f315(f3(f901(x87454,a891)),x87455),f315(f315(f297(x87454),x87453),f177(f901(x87454,a891)))))),f315(f315(f11(x87454,x87451),x87452),f315(f315(f297(x87454),x87453),x87455)))
% 201.34/201.10 [9077]~P110(x90772)+~P13(x90772,f315(f157(x90772),f315(f315(f143(x90771,x90772),x90774),x90775)))+E(f315(f125(x90771,f315(f315(f10(x90772,a891,x90771),f315(f224(x90772),x90773)),x90774)),x90775),f166(x90771,f315(f315(f10(x90772,a891,x90771),f315(f224(x90772),x90773)),x90774),x90775))
% 201.34/201.10 [9101]~P76(x91011)+E(f315(f315(f73(x91011),f315(f315(f8(a893,x91011),x91012),f291(a893,x91013,x91014))),f315(f315(f8(a893,x91011),x91012),f291(a893,f315(f315(f73(a893),x91014),f71(a893)),f315(f315(f73(a893),x91014),x91015)))),f315(f315(f8(a893,x91011),x91012),f291(a893,x91013,f315(f315(f73(a893),x91014),x91015))))+~P107(f315(f315(f223(a893),x91013),f315(f315(f73(a893),x91014),f71(a893))))
% 201.34/201.10 [9102]~P107(f315(f315(f317(x91021),x91024),x91025))+~P107(f315(f315(f223(f901(x91021,a891)),f315(f161(x91021),x91022)),x91025))+P107(f315(f315(f223(f901(x91021,a891)),f315(f161(x91021),f315(f315(f148(x91021,x91022),x91023),x91024))),x91025))
% 201.34/201.10 [9327]~P5(x93272)+~P107(f315(f54(x93271),x93275))+E(f315(f315(f57(x93271,x93272,f315(f315(f10(x93272,f901(x93272,x93272),x93271),f99(x93272)),x93273)),x93274),x93275),f315(f315(f99(x93272),x93274),f315(f315(f33(x93271,x93272),x93275),x93273)))
% 201.34/201.10 [9328]~P5(x93282)+~P107(f315(f54(x93281),x93285))+E(f315(f315(f57(x93281,x93282,f315(f315(f10(x93282,f901(x93282,x93282),x93281),f90(x93282)),x93283)),x93284),x93285),f315(f315(f90(x93282),x93284),f315(f315(f32(x93281,x93282),x93285),x93283)))
% 201.34/201.10 [9379]E(f315(x93791,x93792),f315(x93791,x93793))+P107(f315(f315(f224(a893),f315(x93791,x93792)),f315(x93791,x93793)))+~P107(f315(f315(f317(f900(x93794,x93794)),f315(f315(f240(x93794,x93794),x93792),x93793)),f142(x93794,f315(f315(f140(f901(x93794,a893)),x93791),x93795))))
% 201.34/201.10 [9412]~E(f315(x94124,x94122),f315(x94124,x94123))+~P107(f315(f315(f317(f900(x94121,x94121)),f315(f315(f240(x94121,x94121),x94122),x94123)),f142(x94121,x94125)))+P107(f315(f315(f317(f900(x94121,x94121)),f315(f315(f240(x94121,x94121),x94122),x94123)),f142(x94121,f315(f315(f140(f901(x94121,a893)),x94124),x94125))))
% 201.34/201.10 [9432]~P26(x94321,x94322,x94323,x94325)+P26(x94321,x94322,x94323,f315(f315(f297(x94321),x94324),x94325))+P107(f315(f315(f317(x94322),f315(x94323,x94324)),f315(f298(x94321,x94322,x94323),f315(f315(f3(f901(x94321,a891)),x94325),f315(f315(f297(x94321),x94324),f177(f901(x94321,a891)))))))
% 201.34/201.10 [9435]P107(f315(x94352,x94355))+~P107(f315(f315(f317(x94351),x94355),f315(f161(x94351),x94353)))+E(f315(f315(f127(x94351),f315(f178(f894(x94351)),f166(x94351,x94352,f315(f315(f123(x94351),x94353),x94354)))),f315(f315(f123(x94351),x94353),x94354)),f315(f315(f123(x94351),f315(f315(f127(x94351),f315(f178(f894(x94351)),f166(x94351,x94352,x94353))),x94353)),x94354))
% 201.34/201.10 [9440]~P107(f315(f315(f317(f900(x94401,x94401)),f315(f315(f240(x94401,x94401),x94402),x94403)),f142(x94401,x94405)))+~P107(f315(f315(f223(a893),f315(x94404,x94402)),f315(x94404,x94403)))+P107(f315(f315(f317(f900(x94401,x94401)),f315(f315(f240(x94401,x94401),x94402),x94403)),f142(x94401,f315(f315(f140(f901(x94401,a893)),x94404),x94405))))
% 201.34/201.10 [9507]P107(f315(f315(f317(f900(x95074,x95074)),f315(f315(f240(x95074,x95074),x95072),x95073)),f142(x95074,x95075)))+P107(f315(f315(f224(a893),f315(x95071,x95072)),f315(x95071,x95073)))+~P107(f315(f315(f317(f900(x95074,x95074)),f315(f315(f240(x95074,x95074),x95072),x95073)),f142(x95074,f315(f315(f140(f901(x95074,a893)),x95071),x95075))))
% 201.34/201.10 [9659]~P107(f315(f315(f317(f900(f894(x96591),f894(x96591))),f315(f315(f240(f894(x96591),f894(x96591)),x96592),x96594)),f147(x96591,x96595)))+~P107(f315(f315(f224(a893),x96593),f315(f178(f894(x96591)),x96592)))+P107(f315(f315(f317(f900(x96591,x96591)),f315(f315(f240(x96591,x96591),f315(f315(f153(x96591),x96592),x96593)),f315(f315(f153(x96591),x96594),x96593))),x96595))
% 201.34/201.10 [9901]E(x99011,f2(a1))+~P107(f315(f42(x99013,x99011),f315(f315(f240(a1,a1),x99014),x99015)))+P107(f315(f42(f315(f315(f74(a1),x99012),x99013),x99011),f315(f315(f240(a1,a1),f315(f315(f73(a1),f315(f315(f74(a1),x99012),x99014)),f315(f315(f29(a1),f315(f315(f74(a1),x99012),x99015)),x99011))),f38(a1,f315(f315(f74(a1),x99012),x99015),x99011))))
% 201.34/201.10 [9902]~P107(f315(f315(f224(a893),f2(a893)),x99023))+~P107(f315(f41(x99022,x99023),f315(f315(f240(a893,a893),x99024),x99025)))+P107(f315(f41(f315(f315(f74(a893),x99021),x99022),x99023),f315(f315(f240(a893,a893),f315(f315(f73(a893),f315(f315(f74(a893),x99021),x99024)),f315(f315(f29(a893),f315(f315(f74(a893),x99021),x99025)),x99023))),f38(a893,f315(f315(f74(a893),x99021),x99025),x99023))))
% 201.34/201.10 [10212]~P76(x102122)+~P107(f315(f54(x102121),x102124))+E(f315(f315(f8(x102121,x102122),x102123),f315(f250(x102121),f315(f315(f20(x102121,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102121),a313),f315(f315(f9(x102121,f901(x102121,a891),a891),f317(x102121)),x102124))),f315(f315(f9(x102121,f901(x102121,a891),a891),f317(x102121)),x102125)))),f315(f315(f8(x102121,x102122),f315(f315(f9(x102121,x102122,x102122),f315(f315(f20(x102121,x102122,f901(x102122,x102122)),f315(f315(f10(a891,f901(x102122,f901(x102122,x102122)),x102121),f85(x102122)),f315(f315(f9(x102121,f901(x102121,a891),a891),f317(x102121)),x102125))),x102123)),f2(x102122))),x102124))
% 201.34/201.10 [8373]~E(f315(f315(f123(x83731),x83732),x83735),f315(f315(f123(x83731),x83733),x83734))+E(f315(f315(f123(x83731),f315(f315(f127(x83731),f315(f178(f894(x83731)),x83732)),x83733)),x83734),x83735)+P107(f315(f315(f223(a893),f315(f178(f894(x83731)),x83733)),f315(f178(f894(x83731)),x83732)))
% 201.34/201.10 [8570]~E(f315(f315(f123(x85702),x85703),x85701),f315(f315(f123(x85702),x85704),x85705))+E(x85701,f315(f315(f123(x85702),f315(f315(f127(x85702),f315(f178(f894(x85702)),x85703)),x85704)),x85705))+~P107(f315(f315(f223(a893),f315(f178(f894(x85702)),x85703)),f315(f178(f894(x85702)),x85704)))
% 201.34/201.10 [8658]~E(f315(f315(f73(a893),f315(f315(f74(a893),x86583),x86584)),x86581),f315(f315(f73(a893),f315(f315(f74(a893),x86582),x86584)),x86585))+~P107(f315(f315(f223(a893),x86583),x86582))+E(x86581,f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x86582),x86583)),x86584)),x86585))
% 201.34/201.10 [8659]~E(f315(f315(f73(a893),f315(f315(f74(a893),x86591),x86593)),x86594),f315(f315(f73(a893),f315(f315(f74(a893),x86592),x86593)),x86595))+~P107(f315(f315(f223(a893),x86592),x86591))+E(f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x86591),x86592)),x86593)),x86594),x86595)
% 201.34/201.10 [8828]E(f315(f315(f73(a893),f315(f315(f74(a893),x88281),x88282)),x88283),f315(f315(f73(a893),f315(f315(f74(a893),x88284),x88282)),x88285))+~P107(f315(f315(f223(a893),x88284),x88281))+~E(x88285,f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x88281),x88284)),x88282)),x88283))
% 201.34/201.10 [8829]E(f315(f315(f73(a893),f315(f315(f74(a893),x88291),x88292)),x88293),f315(f315(f73(a893),f315(f315(f74(a893),x88294),x88292)),x88295))+~P107(f315(f315(f223(a893),x88294),x88291))+~E(f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x88291),x88294)),x88292)),x88293),x88295)
% 201.34/201.10 [9713]~P65(x97132)+~P107(f315(f54(x97131),x97135))+E(f315(f315(f11(x97131,x97132),f315(f315(f20(x97131,x97132,x97132),f315(f315(f10(x97132,f901(x97132,x97132),x97131),f279(x97132)),x97133)),x97134)),x97135),f315(f315(f279(x97132),f315(f315(f11(x97131,x97132),x97133),x97135)),f315(f315(f11(x97131,x97132),x97134),x97135)))
% 201.34/201.10 [9842]~E(f608(x98425,x98424,x98423,x98422,x98421),f609(x98425,x98424,x98423,x98422,x98421))+P107(f315(f315(f317(f900(x98421,x98421)),f315(f315(f240(x98421,x98421),x98422),x98423)),f295(x98421,x98424)))+~P107(f315(f315(f317(f900(x98421,x98421)),f315(f315(f240(x98421,x98421),x98422),x98423)),f295(x98421,f315(f315(f99(f901(f900(x98421,x98421),a891)),x98424),x98425))))
% 201.34/201.10 [9843]~E(f611(x98435,x98434,x98433,x98432,x98431),f612(x98435,x98434,x98433,x98432,x98431))+P107(f315(f315(f317(f900(x98431,x98431)),f315(f315(f240(x98431,x98431),x98432),x98433)),f295(x98431,x98434)))+~P107(f315(f315(f317(f900(x98431,x98431)),f315(f315(f240(x98431,x98431),x98432),x98433)),f295(x98431,f315(f315(f99(f901(f900(x98431,x98431),a891)),x98434),x98435))))
% 201.34/201.10 [10035]P107(f315(f315(f317(f900(x100351,x100351)),f315(f315(f240(x100351,x100351),x100352),f609(x100355,x100354,x100353,x100352,x100351))),f295(x100351,x100354)))+P107(f315(f315(f317(f900(x100351,x100351)),f315(f315(f240(x100351,x100351),x100352),x100353)),f295(x100351,x100354)))+~P107(f315(f315(f317(f900(x100351,x100351)),f315(f315(f240(x100351,x100351),x100352),x100353)),f295(x100351,f315(f315(f99(f901(f900(x100351,x100351),a891)),x100354),x100355))))
% 201.34/201.10 [10124]P107(f315(f315(f317(f900(x101241,x101241)),f315(f315(f240(x101241,x101241),f612(x101245,x101244,x101243,x101242,x101241)),x101243)),f295(x101241,x101244)))+P107(f315(f315(f317(f900(x101241,x101241)),f315(f315(f240(x101241,x101241),x101242),x101243)),f295(x101241,x101244)))+~P107(f315(f315(f317(f900(x101241,x101241)),f315(f315(f240(x101241,x101241),x101242),x101243)),f295(x101241,f315(f315(f99(f901(f900(x101241,x101241),a891)),x101244),x101245))))
% 201.34/201.10 [10162]P107(f315(f315(f317(f900(x101621,x101621)),f315(f315(f240(x101621,x101621),x101622),x101623)),f295(x101621,x101624)))+P107(f315(f315(f317(f900(x101621,x101621)),f315(f315(f240(x101621,x101621),f609(x101625,x101624,x101623,x101622,x101621)),f608(x101625,x101624,x101623,x101622,x101621))),x101625))+~P107(f315(f315(f317(f900(x101621,x101621)),f315(f315(f240(x101621,x101621),x101622),x101623)),f295(x101621,f315(f315(f99(f901(f900(x101621,x101621),a891)),x101624),x101625))))
% 201.34/201.10 [10163]P107(f315(f315(f317(f900(x101631,x101631)),f315(f315(f240(x101631,x101631),x101632),x101633)),f295(x101631,x101634)))+P107(f315(f315(f317(f900(x101631,x101631)),f315(f315(f240(x101631,x101631),f611(x101635,x101634,x101633,x101632,x101631)),f612(x101635,x101634,x101633,x101632,x101631))),x101635))+~P107(f315(f315(f317(f900(x101631,x101631)),f315(f315(f240(x101631,x101631),x101632),x101633)),f295(x101631,f315(f315(f99(f901(f900(x101631,x101631),a891)),x101634),x101635))))
% 201.34/201.10 [10310]~P107(f315(f315(f317(f900(f894(x103101),f894(x103101))),f315(f315(f240(f894(x103101),f894(x103101)),x103104),x103105)),f147(x103101,x103102)))+~P107(f315(f315(f317(f900(x103101,x103101)),x103103),f315(f161(f900(x103101,x103101)),f315(f315(f170(x103101,x103101),x103104),x103105))))+P107(f315(f315(f245(x103101,x103101,a891),f315(f315(f9(x103101,f901(f900(x103101,x103101),a891),f901(x103101,a891)),f315(f315(f10(f901(x103101,f901(f901(f900(x103101,x103101),a891),a891)),f901(f901(f900(x103101,x103101),a891),f901(x103101,a891)),x103101),f9(x103101,f901(f900(x103101,x103101),a891),a891)),f315(f315(f10(f901(x103101,f900(x103101,x103101)),f901(x103101,f901(f901(f900(x103101,x103101),a891),a891)),x103101),f315(f10(f900(x103101,x103101),f901(f901(f900(x103101,x103101),a891),a891),x103101),f317(f900(x103101,x103101)))),f240(x103101,x103101)))),x103102)),x103103))
% 201.34/201.10 [9742]~P107(f315(f315(f223(a893),x97423),x97422))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),x97423),x97424)),x97421)),f315(f315(f73(a893),f315(f315(f74(a893),x97422),x97424)),x97425)))+P107(f315(f315(f223(a893),x97421),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x97422),x97423)),x97424)),x97425)))
% 201.34/201.10 [9743]~P107(f315(f315(f223(a893),x97433),x97432))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),x97433),x97434)),x97431)),f315(f315(f73(a893),f315(f315(f74(a893),x97432),x97434)),x97435)))+P107(f315(f315(f224(a893),x97431),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x97432),x97433)),x97434)),x97435)))
% 201.34/201.10 [9760]~P107(f315(f315(f223(a893),x97601),x97604))+P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),x97601),x97602)),x97603)),f315(f315(f73(a893),f315(f315(f74(a893),x97604),x97602)),x97605)))+~P107(f315(f315(f223(a893),x97603),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x97604),x97601)),x97602)),x97605)))
% 201.34/201.10 [9761]~P107(f315(f315(f223(a893),x97611),x97614))+P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),x97611),x97612)),x97613)),f315(f315(f73(a893),f315(f315(f74(a893),x97614),x97612)),x97615)))+~P107(f315(f315(f224(a893),x97613),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x97614),x97611)),x97612)),x97615)))
% 201.34/201.10 [9876]~P107(f315(f315(f223(a893),x98762),x98761))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),x98761),x98763)),x98764)),f315(f315(f73(a893),f315(f315(f74(a893),x98762),x98763)),x98765)))+P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x98761),x98762)),x98763)),x98764)),x98765))
% 201.34/201.10 [9877]~P107(f315(f315(f223(a893),x98772),x98771))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),x98771),x98773)),x98774)),f315(f315(f73(a893),f315(f315(f74(a893),x98772),x98773)),x98775)))+P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x98771),x98772)),x98773)),x98774)),x98775))
% 201.34/201.10 [9920]~P107(f315(f315(f223(a893),x99204),x99201))+P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),x99201),x99202)),x99203)),f315(f315(f73(a893),f315(f315(f74(a893),x99204),x99202)),x99205)))+~P107(f315(f315(f223(a893),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x99201),x99204)),x99202)),x99203)),x99205))
% 201.34/201.10 [9921]~P107(f315(f315(f223(a893),x99214),x99211))+P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),x99211),x99212)),x99213)),f315(f315(f73(a893),f315(f315(f74(a893),x99214),x99212)),x99215)))+~P107(f315(f315(f224(a893),f315(f315(f73(a893),f315(f315(f74(a893),f315(f315(f3(a893),x99211),x99214)),x99212)),x99213)),x99215))
% 201.34/201.10 [10150]~P11(x101501,x101502,x101505,x101503)+~P107(f315(f315(f317(f900(x101501,x101501)),x101504),x101505))+P107(f315(f315(f245(x101501,x101501,a891),f315(f315(f9(x101501,f901(x101501,x101502),f901(x101501,a891)),f315(f315(f10(f901(x101502,a891),f901(f901(x101501,x101502),f901(x101501,a891)),x101501),f10(x101502,a891,x101501)),f315(f315(f10(x101502,f901(x101502,a891),x101501),a312),x101503))),x101503)),x101504))
% 201.34/201.10 [8534]~P19(x85346,x85341,x85342,x85344)+E(f315(f66(x85341,x85341,x85341,f315(x85342,x85343)),f315(x85344,x85345)),f315(f66(x85341,x85341,x85341,f315(x85344,x85345)),f315(x85342,x85343)))+~P107(f315(f54(x85346),x85345))
% 201.34/201.10 [8972]~P26(x89721,x89723,x89725,x89726)+~P26(x89723,x89722,x89724,f315(f298(x89721,x89723,x89725),x89726))+P26(x89721,x89722,f315(f66(x89723,x89722,x89721,x89724),x89725),x89726)
% 201.34/201.10 [9539]~P107(f315(f315(x95393,x95392),x95396))+~P107(f315(f315(x95394,x95395),x95392))+P107(f315(f315(f317(x95391),x95392),f288(x95391,x95393,x95394,x95395,x95396)))
% 201.34/201.10 [9540]~P107(f315(f315(x95404,x95402),x95406))+~P107(f315(f315(x95403,x95405),x95402))+P107(f315(f315(f317(x95401),x95402),f285(x95401,x95403,x95404,x95405,x95406)))
% 201.34/201.10 [9660]E(x96601,x96602)+E(x96603,x96604)+~P107(f315(f315(f317(f900(f894(x96605),f894(x96605))),f315(f315(f240(f894(x96605),f894(x96605)),f315(f315(f140(x96605),x96603),x96601)),f315(f315(f140(x96605),x96604),x96602))),f146(x96605,x96606)))
% 201.34/201.10 [9669]~E(x96692,x96694)+P107(f315(f315(f317(f900(f894(x96691),f894(x96691))),f315(f315(f240(f894(x96691),f894(x96691)),f315(f315(f140(x96691),x96692),x96693)),f315(f315(f140(x96691),x96694),x96695))),f134(x96691,x96696)))+~P107(f315(f315(f317(f900(f894(x96691),f894(x96691))),f315(f315(f240(f894(x96691),f894(x96691)),x96693),x96695)),f134(x96691,x96696)))
% 201.34/201.10 [9670]~E(x96702,x96704)+P107(f315(f315(f317(f900(f894(x96701),f894(x96701))),f315(f315(f240(f894(x96701),f894(x96701)),f315(f315(f140(x96701),x96702),x96703)),f315(f315(f140(x96701),x96704),x96705))),f136(x96701,x96706)))+~P107(f315(f315(f317(f900(f894(x96701),f894(x96701))),f315(f315(f240(f894(x96701),f894(x96701)),x96703),x96705)),f136(x96701,x96706)))
% 201.34/201.10 [9671]~E(x96712,x96714)+P107(f315(f315(f317(f900(f894(x96711),f894(x96711))),f315(f315(f240(f894(x96711),f894(x96711)),f315(f315(f140(x96711),x96712),x96713)),f315(f315(f140(x96711),x96714),x96715))),f146(x96711,x96716)))+~P107(f315(f315(f317(f900(f894(x96711),f894(x96711))),f315(f315(f240(f894(x96711),f894(x96711)),x96713),x96715)),f146(x96711,x96716)))
% 201.34/201.10 [9672]~E(x96722,x96724)+P107(f315(f315(f317(f900(f894(x96721),f894(x96721))),f315(f315(f240(f894(x96721),f894(x96721)),f315(f315(f123(x96721),x96722),x96723)),f315(f315(f123(x96721),x96724),x96725))),f146(x96721,x96726)))+~P107(f315(f315(f317(f900(f894(x96721),f894(x96721))),f315(f315(f240(f894(x96721),f894(x96721)),x96723),x96725)),f146(x96721,x96726)))
% 201.34/201.10 [9673]~E(x96733,x96735)+P107(f315(f315(f317(f900(f894(x96731),f894(x96731))),f315(f315(f240(f894(x96731),f894(x96731)),f315(f315(f123(x96731),x96732),x96733)),f315(f315(f123(x96731),x96734),x96735))),f146(x96731,x96736)))+~P107(f315(f315(f317(f900(f894(x96731),f894(x96731))),f315(f315(f240(f894(x96731),f894(x96731)),x96732),x96734)),f146(x96731,x96736)))
% 201.34/201.10 [9730]E(x97301,x97302)+P107(f315(f315(f317(f900(f894(x97303),f894(x97303))),f315(f315(f240(f894(x97303),f894(x97303)),x97301),x97302)),f146(x97303,x97304)))+~P107(f315(f315(f317(f900(f894(x97303),f894(x97303))),f315(f315(f240(f894(x97303),f894(x97303)),f315(f315(f140(x97303),x97305),x97301)),f315(f315(f140(x97303),x97306),x97302))),f146(x97303,x97304)))
% 201.34/201.10 [9880]~E(x98803,x98805)+P107(f315(f315(f317(f900(f894(x98801),f894(x98801))),f315(f315(f240(f894(x98801),f894(x98801)),f315(f315(f123(x98801),x98802),f315(f315(f140(x98801),x98803),f102(x98801)))),f315(f315(f123(x98801),x98804),f315(f315(f140(x98801),x98805),f102(x98801))))),f146(x98801,x98806)))+~P107(f315(f315(f317(f900(f894(x98801),f894(x98801))),f315(f315(f240(f894(x98801),f894(x98801)),x98802),x98804)),f146(x98801,x98806)))
% 201.34/201.10 [9924]E(x99241,x99242)+E(x99243,x99244)+~P107(f315(f315(f317(f900(f894(x99245),f894(x99245))),f315(f315(f240(f894(x99245),f894(x99245)),f315(f315(f123(x99245),x99243),f315(f315(f140(x99245),x99241),f102(x99245)))),f315(f315(f123(x99245),x99244),f315(f315(f140(x99245),x99242),f102(x99245))))),f146(x99245,x99246)))
% 201.34/201.10 [9950]E(x99501,x99502)+~P107(f315(f315(f317(f900(f894(x99503),f894(x99503))),f315(f315(f240(f894(x99503),f894(x99503)),f315(f315(f123(x99503),x99501),f315(f315(f140(x99503),x99505),f102(x99503)))),f315(f315(f123(x99503),x99502),f315(f315(f140(x99503),x99506),f102(x99503))))),f146(x99503,x99504)))+P107(f315(f315(f317(f900(f894(x99503),f894(x99503))),f315(f315(f240(f894(x99503),f894(x99503)),x99501),x99502)),f146(x99503,x99504)))
% 201.34/201.10 [9988]~P107(f315(f315(f317(f900(f901(x99881,a891),f901(x99881,a891))),f315(f315(f240(f901(x99881,a891),f901(x99881,a891)),x99882),x99884)),f306(x99881,x99886)))+~P107(f315(f315(f317(f900(f901(x99881,a891),f901(x99881,a891))),f315(f315(f240(f901(x99881,a891),f901(x99881,a891)),x99883),x99885)),f306(x99881,x99886)))+P107(f315(f315(f317(f900(f901(x99881,a891),f901(x99881,a891))),f315(f315(f240(f901(x99881,a891),f901(x99881,a891)),f315(f315(f99(f901(x99881,a891)),x99882),x99883)),f315(f315(f99(f901(x99881,a891)),x99884),x99885))),f306(x99881,x99886)))
% 201.34/201.10 [5731]~E(f315(f315(f123(x57311),x57316),x57313),x57315)+E(f315(f315(f123(x57311),x57312),x57313),f315(f315(f140(x57311),x57314),x57315))+~E(x57312,f315(f315(f140(x57311),x57314),x57316))
% 201.34/201.10 [5732]~E(f315(f315(f123(x57321),x57326),x57323),x57325)+E(f315(f315(f123(x57321),x57322),x57323),f315(f315(f123(x57321),x57324),x57325))+~E(x57322,f315(f315(f123(x57321),x57324),x57326))
% 201.34/201.10 [5734]E(f315(f315(f123(x57341),x57342),x57343),f315(f315(f140(x57341),x57344),x57345))+~E(f315(f315(f140(x57341),x57344),x57346),x57342)+~E(x57345,f315(f315(f123(x57341),x57346),x57343))
% 201.34/201.10 [5736]~E(f315(f315(f123(x57361),x57362),x57366),x57364)+E(f315(f315(f123(x57361),x57362),x57363),f315(f315(f123(x57361),x57364),x57365))+~E(x57363,f315(f315(f123(x57361),x57366),x57365))
% 201.34/201.10 [6911]E(f315(x69111,x69112),f315(x69113,x69112))+~E(f315(f315(f143(x69114,x69115),x69111),x69116),f315(f315(f143(x69114,x69115),x69113),x69116))+~P107(f315(f315(f317(x69114),x69112),f315(f161(x69114),x69116)))
% 201.34/201.10 [7302]~P19(x73024,x73025,x73026,x73021)+E(f315(f315(x73021,x73022),x73023),f315(f315(f57(x73024,x73025,x73026),x73023),x73022))+~P107(f315(f54(x73024),x73022))
% 201.34/201.10 [7373]~E(x73732,f315(x73734,x73736))+~P107(f315(f315(f317(x73733),x73736),x73735))+P107(f315(f315(f317(x73731),x73732),f315(f298(x73733,x73731,x73734),x73735)))
% 201.34/201.10 [7374]~E(f315(x73744,x73742),x73746)+~P107(f315(f315(f317(x73743),x73746),x73745))+P107(f315(f315(f317(x73741),x73742),f315(f299(x73741,x73743,x73744),x73745)))
% 201.34/201.10 [7825]~P34(x78251,x78252,x78254,x78256)+P34(x78251,x78252,f315(f315(f140(x78251),x78253),x78254),f315(f315(f140(x78251),x78255),x78256))+~P107(f315(f315(x78252,x78253),x78255))
% 201.34/201.10 [8838]~P58(x88384,x88385,x88381,x88382,x88386)+E(f315(x88381,f315(x88382,x88383)),x88383)+~P107(f315(f315(f317(x88385),x88383),x88386))
% 201.34/201.10 [9337]~P27(x93372,x93371,x93375,x93374,x93373)+E(f315(f84(x93371,x93372,x93373,f84(x93372,x93371,x93374,x93375)),x93376),f315(x93375,x93376))+~P107(f315(f315(f317(x93372),x93376),x93374))
% 201.34/201.10 [9348]~P26(x93481,x93482,x93483,x93486)+P26(x93481,x93482,f68(x93481,x93482,x93483,x93484,x93485),x93486)+P107(f315(f315(f317(x93482),x93485),f315(f298(x93481,x93482,x93483),x93486)))
% 201.34/201.10 [9662]E(x96621,x96622)+E(f315(f178(f894(x96623)),x96624),f315(f178(f894(x96623)),x96625))+~P107(f315(f315(f317(f900(f894(x96623),f894(x96623))),f315(f315(f240(f894(x96623),f894(x96623)),f315(f315(f140(x96623),x96621),x96624)),f315(f315(f140(x96623),x96622),x96625))),f134(x96623,x96626)))
% 201.34/201.10 [9725]~P16(x97251,x97252,x97253)+E(f315(f315(f57(x97251,x97252,x97253),x97254),x97255),x97256)+~P107(f315(f59(x97251,x97252,x97253,x97254,x97255),x97256))
% 201.34/201.10 [9733]E(f315(f178(f894(x97331)),x97332),f315(f178(f894(x97331)),x97333))+P107(f315(f315(f317(f900(f894(x97331),f894(x97331))),f315(f315(f240(f894(x97331),f894(x97331)),x97332),x97333)),f134(x97331,x97334)))+~P107(f315(f315(f317(f900(f894(x97331),f894(x97331))),f315(f315(f240(f894(x97331),f894(x97331)),f315(f315(f140(x97331),x97335),x97332)),f315(f315(f140(x97331),x97336),x97333))),f134(x97331,x97334)))
% 201.34/201.10 [9754]~P107(f315(f315(f317(f900(x97541,x97541)),f315(f315(f240(x97541,x97541),x97542),x97544)),f295(x97541,x97546)))+P107(f315(f315(f317(f900(f894(x97541),f894(x97541))),f315(f315(f240(f894(x97541),f894(x97541)),f315(f315(f140(x97541),x97542),x97543)),f315(f315(f140(x97541),x97544),x97545))),f295(f894(x97541),f146(x97541,x97546))))+~P107(f315(f315(f317(f900(f894(x97541),f894(x97541))),f315(f315(f240(f894(x97541),f894(x97541)),x97543),x97545)),f295(f894(x97541),f146(x97541,x97546))))
% 201.34/201.10 [9930]~P107(f315(x99302,x99306))+~E(f315(f125(x99301,x99302),x99303),f315(f315(f140(x99301),x99304),x99305))+~P107(f315(f315(f317(x99301),x99306),f315(f161(x99301),f720(x99305,x99304,x99303,x99302,x99301))))
% 201.34/201.10 [9931]~P107(f315(x99314,x99316))+~E(f315(f315(f140(x99311),x99312),x99313),f315(f125(x99311,x99314),x99315))+~P107(f315(f315(f317(x99311),x99316),f315(f161(x99311),f723(x99315,x99314,x99313,x99312,x99311))))
% 201.34/201.10 [10247]~P76(x102472)+E(f315(f315(f8(x102471,x102472),f315(f315(f10(f901(x102473,a891),x102472,x102471),f315(f8(x102473,x102472),x102474)),f315(f315(f10(f901(x102473,a891),f901(x102473,a891),x102471),f250(x102473)),f315(f315(f10(f901(x102473,a891),f901(x102473,a891),x102471),f315(f20(x102473,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102473),a313),f315(f315(f9(x102473,f901(x102473,a891),a891),f317(x102473)),x102475)))),f315(f9(x102473,x102471,a891),f315(f315(f10(x102471,f901(x102471,a891),x102473),a312),x102476)))))),f315(f298(x102473,x102471,x102476),x102475)),f315(f315(f8(x102473,x102472),x102474),x102475))+~P107(f315(f54(x102473),x102475))
% 201.34/201.10 [6969]~P110(x69693)+P107(f315(x69692,x69695))+E(f315(f125(x69691,x69692),f315(f315(f137(x69691,x69693,x69694),x69695),x69696)),f315(f125(x69691,x69692),x69696))
% 201.34/201.10 [6971]P107(f315(x69711,x69712))+~E(f155(x69713,x69711,x69714),f315(f315(f240(f894(x69713),f894(x69713)),x69715),x69716))+~P107(f315(f315(f317(x69713),x69712),f315(f161(x69713),x69715)))
% 201.34/201.10 [7016]~P107(f315(x70162,x70166))+~E(f155(x70161,x70162,x70163),f315(f315(f240(f894(x70161),f894(x70161)),x70164),x70165))+~P107(f315(f315(f317(x70161),x70166),f315(f161(x70161),x70165)))
% 201.34/201.10 [7687]~P14(x76871,x76872,x76873)+~P107(f315(f54(x76871),x76876))+E(f315(f315(f57(x76871,x76872,x76873),x76874),f315(f315(f297(x76871),x76875),x76876)),f315(f315(f57(x76871,x76872,x76873),f315(f315(x76873,x76875),x76874)),x76876))
% 201.34/201.10 [7740]~P110(x77402)+~P107(f315(f315(f223(x77402),f315(x77403,x77404)),f315(x77403,x77405)))+E(f315(f315(f137(x77401,x77402,x77403),x77404),f315(f315(f140(x77401),x77405),x77406)),f315(f315(f140(x77401),x77404),f315(f315(f140(x77401),x77405),x77406)))
% 201.34/201.10 [7853]E(x78531,x78532)+~E(f315(f315(f242(x78533,x78534),x78531),f315(f18(f901(x78534,a891),x78533),x78535)),f315(f315(f242(x78533,x78534),x78532),f315(f18(f901(x78534,a891),x78533),x78535)))+~P107(f315(f315(f317(x78534),x78536),x78535))
% 201.34/201.10 [7919]~P14(x79191,x79192,x79193)+~P107(f315(f54(x79191),x79196))+E(f315(f315(f57(x79191,x79192,x79193),x79194),f315(f315(f297(x79191),x79195),x79196)),f315(f315(x79193,x79195),f315(f315(f57(x79191,x79192,x79193),x79194),x79196)))
% 201.34/201.10 [8037]~P16(x80371,x80372,x80373)+~P107(f315(f54(x80371),x80376))+E(f315(f315(f57(x80371,x80372,x80373),f315(f315(x80373,x80374),x80375)),x80376),f315(f315(x80373,x80374),f315(f315(f57(x80371,x80372,x80373),x80375),x80376)))
% 201.34/201.10 [8105]~P20(x81052,x81055,x81056,x81051)+~P107(f315(f54(x81052),x81054))+E(f315(x81051,f315(f315(f297(x81052),x81053),x81054)),f315(f66(x81055,x81055,x81055,f315(x81051,x81054)),f315(x81056,x81053)))
% 201.34/201.10 [8137]~P110(x81372)+P107(f315(f315(f223(x81372),f315(x81373,x81374)),f315(x81373,x81375)))+E(f315(f315(f137(x81371,x81372,x81373),x81374),f315(f315(f140(x81371),x81375),x81376)),f315(f315(f140(x81371),x81375),f315(f315(f137(x81371,x81372,x81373),x81374),x81376)))
% 201.34/201.10 [8280]~E(f315(f178(f894(x82801)),x82805),f315(f178(f894(x82802)),x82806))+~E(f315(f178(f894(x82801)),x82803),f315(f178(f894(x82802)),x82804))+E(f315(f315(f123(f900(x82801,x82802)),f315(f315(f170(x82801,x82802),x82803),x82804)),f315(f315(f170(x82801,x82802),x82805),x82806)),f315(f315(f170(x82801,x82802),f315(f315(f123(x82801),x82803),x82805)),f315(f315(f123(x82802),x82804),x82806)))
% 201.34/201.10 [8391]~E(x83912,f315(f298(x83913,x83911,x83914),x83916))+P107(f315(f315(f223(f901(x83911,a891)),x83912),f315(f298(x83913,x83911,x83914),x83915)))+~P107(f315(f315(f223(f901(x83913,a891)),x83916),x83915))
% 201.34/201.10 [8493]~P110(x84935)+E(f315(x84931,x84932),f315(x84931,x84933))+E(f315(f315(f137(x84934,x84935,x84931),x84932),f315(f315(f137(x84934,x84935,x84931),x84933),x84936)),f315(f315(f137(x84934,x84935,x84931),x84933),f315(f315(f137(x84934,x84935,x84931),x84932),x84936)))
% 201.34/201.10 [8667]~P107(f315(f315(f317(x86672),x86674),f315(x86676,x86673)))+~P107(f315(f315(f317(x86671),x86673),x86675))+P107(f315(f315(f317(f900(x86671,x86672)),f315(f315(f240(x86671,x86672),x86673),x86674)),f315(f315(f242(x86671,x86672),x86675),x86676)))
% 201.34/201.10 [9142]~P76(x91422)+~P26(x91424,x91421,x91425,x91426)+E(f315(f315(f8(x91421,x91422),x91423),f315(f298(x91424,x91421,x91425),x91426)),f315(f315(f8(x91424,x91422),f315(f66(x91421,x91422,x91424,x91423),x91425)),x91426))
% 201.34/201.10 [9143]~P72(x91432)+~P26(x91434,x91431,x91435,x91436)+E(f315(f315(f11(x91431,x91432),x91433),f315(f298(x91434,x91431,x91435),x91436)),f315(f315(f11(x91434,x91432),f315(f66(x91431,x91432,x91434,x91433),x91435)),x91436))
% 201.34/201.10 [9190]~P36(x91902,x91905,x91901,x91903,x91906)+P107(f315(f315(x91901,f315(f315(f153(x91902),x91903),x91904)),f315(f315(f153(x91905),x91906),x91904)))+~P107(f315(f315(f224(a893),x91904),f315(f178(f894(x91905)),x91906)))
% 201.34/201.10 [9191]~P36(x91912,x91915,x91911,x91913,x91916)+P107(f315(f315(x91911,f315(f315(f153(x91912),x91913),x91914)),f315(f315(f153(x91915),x91916),x91914)))+~P107(f315(f315(f224(a893),x91914),f315(f178(f894(x91912)),x91913)))
% 201.34/201.10 [9202]~E(f315(f298(x92021,x92022,x92023),x92024),x92026)+E(f315(f298(x92021,x92022,x92023),f315(f298(x92022,x92021,f84(x92021,x92022,x92024,x92023)),x92025)),x92025)+~P107(f315(f315(f223(f901(x92022,a891)),x92025),x92026))
% 201.34/201.10 [9407]~P19(x94073,x94071,x94076,x94072)+~P107(f315(f54(x94073),x94074))+E(f315(f66(x94071,x94071,x94071,f315(x94072,f315(f315(f3(f901(x94073,a891)),x94074),f315(f315(f297(x94073),x94075),f177(f901(x94073,a891)))))),f315(x94076,x94075)),f315(x94072,f315(f315(f297(x94073),x94075),x94074)))
% 201.34/201.10 [10017]~E(f315(f298(x100172,x100174,x100176),f230(f901(x100172,a891))),f230(f901(x100174,a891)))+~E(f315(f298(x100171,x100173,x100175),f230(f901(x100171,a891))),f230(f901(x100173,a891)))+E(f315(f298(f900(x100171,x100172),f900(x100173,x100174),f246(x100171,x100173,x100172,x100174,x100175,x100176)),f230(f901(f900(x100171,x100172),a891))),f230(f901(f900(x100173,x100174),a891)))
% 201.34/201.10 [10074]~P26(x100743,x100744,x100745,f315(x100746,f514(x100746,x100745,x100744,x100743,x100742,x100741)))+P26(x100743,x100744,x100745,f315(f315(f32(x100742,f901(x100743,a891)),x100741),x100746))+E(x100741,f177(f901(x100742,a891)))
% 201.34/201.10 [10131]P26(x101316,x101315,x101314,f315(f315(f32(x101312,f901(x101316,a891)),x101311),x101313))+E(x101311,f177(f901(x101312,a891)))+P107(f315(f315(f317(x101312),f514(x101313,x101314,x101315,x101316,x101312,x101311)),x101311))
% 201.34/201.10 [10136]P107(f315(f315(f317(x101361),f583(x101362,x101363,x101364,x101365,x101366,x101361)),x101366))+P107(f315(f315(f223(f901(f900(x101361,x101364),a891)),f315(f315(f242(x101361,x101364),x101366),x101363)),f315(f315(f242(x101361,x101364),x101365),x101362)))+~P107(f315(f315(f223(f901(x101361,a891)),x101366),x101365))
% 201.34/201.10 [10265]~P107(f315(f315(f223(f901(x102652,a891)),f315(x102654,f583(x102656,x102654,x102652,x102655,x102653,x102651))),f315(x102656,f583(x102656,x102654,x102652,x102655,x102653,x102651))))+~P107(f315(f315(f223(f901(x102651,a891)),x102653),x102655))+P107(f315(f315(f223(f901(f900(x102651,x102652),a891)),f315(f315(f242(x102651,x102652),x102653),x102654)),f315(f315(f242(x102651,x102652),x102655),x102656)))
% 201.34/201.10 [7875]~P107(f315(x78751,x78755))+~P107(f315(x78756,x78754))+P107(f315(x78751,f315(f244(x78752,x78753),f315(f315(f240(x78752,x78753),x78754),x78755))))
% 201.34/201.10 [7876]~P107(f315(x78761,x78764))+~P107(f315(x78766,x78765))+P107(f315(x78761,f315(f239(x78762,x78763),f315(f315(f240(x78762,x78763),x78764),x78765))))
% 201.34/201.10 [7924]~P107(f315(f315(x79244,x79246),x79245))+~P107(f315(f315(f317(x79241),x79246),x79243))+P107(f315(f315(f315(f33(x79241,f901(x79242,a891)),x79243),x79244),x79245))
% 201.34/201.10 [8230]~P107(f315(f315(f317(x82301),x82302),f315(x82305,x82306)))+~P107(f315(f315(f317(x82303),x82306),x82304))+P107(f315(f315(f317(x82301),x82302),f315(f315(f33(x82303,f901(x82301,a891)),x82304),x82305)))
% 201.34/201.10 [8274]P107(f315(f315(x82741,x82742),x82743))+~P107(f315(f315(x82744,x82742),x82743))+~P107(f315(f315(f223(f901(x82745,f901(x82746,a891))),x82744),x82741))
% 201.34/201.10 [8414]P107(f315(f315(x84141,x84142),x84143))+~P107(f315(f315(f317(x84144),x84142),x84145))+~P107(f315(f315(f315(f32(x84144,f901(x84146,a891)),x84145),x84141),x84143))
% 201.34/201.10 [8549]P107(f315(f315(f317(x85491),x85492),f315(x85493,x85494)))+~P107(f315(f315(f317(x85495),x85494),x85496))+~P107(f315(f315(f317(x85491),x85492),f315(f315(f32(x85495,f901(x85491,a891)),x85496),x85493)))
% 201.34/201.10 [8817]~P11(x88174,x88175,x88176,x88171)+E(f315(x88171,x88172),f315(x88171,x88173))+~P107(f315(f315(f317(f900(x88174,x88174)),f315(f315(f240(x88174,x88174),x88172),x88173)),x88176))
% 201.34/201.10 [8852]P107(f315(f315(f223(f901(x88521,a891)),x88522),f315(x88523,x88524)))+~P107(f315(f315(f317(x88525),x88524),x88526))+~P107(f315(f315(f223(f901(x88521,a891)),x88522),f315(f315(f32(x88525,f901(x88521,a891)),x88526),x88523)))
% 201.34/201.10 [8885]~P56(x88853,x88854,f315(f274(x88854,x88853),x88855))+E(x88851,f177(f901(x88852,a891)))+E(f315(f315(f32(x88852,f901(x88853,a891)),x88851),f315(f315(f10(f901(x88854,a891),f901(x88853,a891),x88852),f273(x88854,x88853,x88855)),x88856)),f315(f273(x88854,x88853,x88855),f315(f315(f32(x88852,f901(x88854,a891)),x88851),x88856)))
% 201.34/201.10 [8963]P107(f315(f315(f317(x89631),x89632),f315(f273(x89633,x89631,x89634),x89635)))+~P107(f315(f315(f317(x89633),x89636),x89635))+~P107(f315(f315(f317(f900(x89633,x89631)),f315(f315(f240(x89633,x89631),x89636),x89632)),x89634))
% 201.34/201.10 [9267]P107(f315(f315(f223(f901(x92671,a891)),f315(f273(x92672,x92671,x92673),x92674)),f315(f273(x92672,x92671,x92675),x92676)))+~P107(f315(f315(f223(f901(x92672,a891)),x92674),x92676))+~P107(f315(f315(f223(f901(f900(x92672,x92671),a891)),x92673),x92675))
% 201.34/201.10 [9456]~P107(f315(f315(f317(x94562),x94566),x94564))+~P107(f315(f315(f223(f901(x94561,a891)),x94563),x94565))+P107(f315(f315(f223(f901(f900(x94561,x94562),a891)),f315(f315(f242(x94561,x94562),x94563),f315(f18(f901(x94562,a891),x94561),x94564))),f315(f315(f242(x94561,x94562),x94565),f315(f18(f901(x94562,a891),x94561),x94564))))
% 201.34/201.10 [9468]~P36(x94681,x94682,x94683,x94685,x94686)+P107(f315(f315(f245(x94681,x94682,a891),x94683),x94684))+~P107(f315(f315(f317(f900(x94681,x94682)),x94684),f315(f161(f900(x94681,x94682)),f315(f315(f170(x94681,x94682),x94685),x94686))))
% 201.34/201.10 [9616]~E(x96163,x96165)+P107(f315(f315(f317(f900(f894(x96161),f894(x96161))),f315(f315(f240(f894(x96161),f894(x96161)),f315(f315(f140(x96161),x96162),x96163)),f315(f315(f140(x96161),x96164),x96165))),f146(x96161,x96166)))+~P107(f315(f315(f317(f900(x96161,x96161)),f315(f315(f240(x96161,x96161),x96162),x96164)),x96166))
% 201.34/201.10 [9622]~E(f315(f178(f894(x96221)),x96223),f315(f178(f894(x96221)),x96225))+P107(f315(f315(f317(f900(f894(x96221),f894(x96221))),f315(f315(f240(f894(x96221),f894(x96221)),f315(f315(f140(x96221),x96222),x96223)),f315(f315(f140(x96221),x96224),x96225))),f134(x96221,x96226)))+~P107(f315(f315(f317(f900(x96221,x96221)),f315(f315(f240(x96221,x96221),x96222),x96224)),x96226))
% 201.34/201.10 [9654]P107(f315(f315(f317(f900(x96541,x96541)),f315(f315(f240(x96541,x96541),x96542),x96543)),f315(f315(f172(f900(x96541,x96541),a891),f315(a101,x96544)),x96545)))+~P107(f315(f315(f317(f900(x96541,x96541)),f315(f315(f240(x96541,x96541),x96546),x96543)),x96545))+~P107(f315(f315(f317(f900(x96541,x96541)),f315(f315(f240(x96541,x96541),x96542),x96546)),f315(f315(f172(f900(x96541,x96541),a891),x96544),x96545)))
% 201.34/201.10 [9655]P107(f315(f315(f317(f900(x96551,x96551)),f315(f315(f240(x96551,x96551),x96552),x96553)),f315(f315(f172(f900(x96551,x96551),a891),f315(a101,x96554)),x96555)))+~P107(f315(f315(f317(f900(x96551,x96551)),f315(f315(f240(x96551,x96551),x96552),x96556)),x96555))+~P107(f315(f315(f317(f900(x96551,x96551)),f315(f315(f240(x96551,x96551),x96556),x96553)),f315(f315(f172(f900(x96551,x96551),a891),x96554),x96555)))
% 201.34/201.10 [9658]~P107(f315(f315(f317(x96584),x96585),x96586))+P107(f315(f315(f223(f901(x96581,a891)),x96582),x96583))+~P107(f315(f315(f223(f901(f900(x96581,x96584),a891)),f315(f315(f242(x96581,x96584),x96582),f315(f18(f901(x96584,a891),x96581),x96586))),f315(f315(f242(x96581,x96584),x96583),f315(f18(f901(x96584,a891),x96581),x96586))))
% 201.34/201.10 [9703]E(x97031,x97032)+~P107(f315(f315(f317(f900(f894(x97033),f894(x97033))),f315(f315(f240(f894(x97033),f894(x97033)),f315(f315(f140(x97033),x97031),x97035)),f315(f315(f140(x97033),x97032),x97036))),f134(x97033,x97034)))+P107(f315(f315(f317(f900(x97033,x97033)),f315(f315(f240(x97033,x97033),x97031),x97032)),x97034))
% 201.34/201.10 [9704]E(x97041,x97042)+~P107(f315(f315(f317(f900(f894(x97043),f894(x97043))),f315(f315(f240(f894(x97043),f894(x97043)),f315(f315(f140(x97043),x97041),x97045)),f315(f315(f140(x97043),x97042),x97046))),f136(x97043,x97044)))+P107(f315(f315(f317(f900(x97043,x97043)),f315(f315(f240(x97043,x97043),x97041),x97042)),x97044))
% 201.34/201.10 [9705]E(x97051,x97052)+~P107(f315(f315(f317(f900(f894(x97053),f894(x97053))),f315(f315(f240(f894(x97053),f894(x97053)),f315(f315(f140(x97053),x97051),x97055)),f315(f315(f140(x97053),x97052),x97056))),f146(x97053,x97054)))+P107(f315(f315(f317(f900(x97053,x97053)),f315(f315(f240(x97053,x97053),x97051),x97052)),x97054))
% 201.34/201.10 [9741]P107(f315(f315(f317(f900(f894(x97411),f894(x97411))),f315(f315(f240(f894(x97411),f894(x97411)),f315(f315(f140(x97411),x97412),x97413)),f315(f315(f140(x97411),x97414),x97415))),f147(x97411,x97416)))+~P107(f315(f315(f317(f900(f894(x97411),f894(x97411))),f315(f315(f240(f894(x97411),f894(x97411)),x97413),x97415)),f147(x97411,x97416)))+~P107(f315(f315(f317(f900(x97411,x97411)),f315(f315(f240(x97411,x97411),x97412),x97414)),x97416))
% 201.34/201.10 [9758]P107(f315(x97581,x97582))+~P107(f315(x97581,f450(x97581,x97583,x97584,x97585,x97586)))+~P107(f315(f315(f317(x97586),x97582),f315(f315(f33(x97585,f901(x97586,a891)),x97584),x97583)))
% 201.34/201.10 [9763]~P107(f315(f315(f317(f900(f894(x97631),f894(x97631))),f315(f315(f240(f894(x97631),f894(x97631)),f315(f315(f140(x97631),x97632),x97635)),f315(f315(f140(x97631),x97633),x97636))),f134(x97631,x97634)))+P107(f315(f315(f317(f900(f894(x97631),f894(x97631))),f315(f315(f240(f894(x97631),f894(x97631)),x97635),x97636)),f134(x97631,x97634)))+P107(f315(f315(f317(f900(x97631,x97631)),f315(f315(f240(x97631,x97631),x97632),x97633)),x97634))
% 201.34/201.10 [9764]~P107(f315(f315(f317(f900(f894(x97641),f894(x97641))),f315(f315(f240(f894(x97641),f894(x97641)),f315(f315(f140(x97641),x97642),x97645)),f315(f315(f140(x97641),x97643),x97646))),f136(x97641,x97644)))+P107(f315(f315(f317(f900(f894(x97641),f894(x97641))),f315(f315(f240(f894(x97641),f894(x97641)),x97645),x97646)),f136(x97641,x97644)))+P107(f315(f315(f317(f900(x97641,x97641)),f315(f315(f240(x97641,x97641),x97642),x97643)),x97644))
% 201.34/201.10 [9765]~P107(f315(f315(f317(f900(f894(x97651),f894(x97651))),f315(f315(f240(f894(x97651),f894(x97651)),f315(f315(f140(x97651),x97652),x97655)),f315(f315(f140(x97651),x97653),x97656))),f146(x97651,x97654)))+P107(f315(f315(f317(f900(f894(x97651),f894(x97651))),f315(f315(f240(f894(x97651),f894(x97651)),x97655),x97656)),f146(x97651,x97654)))+P107(f315(f315(f317(f900(x97651,x97651)),f315(f315(f240(x97651,x97651),x97652),x97653)),x97654))
% 201.34/201.10 [9853]P107(f315(x98531,x98532))+P107(f315(f315(f317(x98533),f451(x98531,x98534,x98535,x98533,x98536)),x98535))+~P107(f315(f315(f317(x98536),x98532),f315(f315(f33(x98533,f901(x98536,a891)),x98535),x98534)))
% 201.34/201.10 [9864]~E(x98642,x98644)+P107(f315(f315(f317(f900(f894(x98641),f894(x98641))),f315(f315(f240(f894(x98641),f894(x98641)),f315(f315(f123(x98641),x98642),f315(f315(f140(x98641),x98643),f102(x98641)))),f315(f315(f123(x98641),x98644),f315(f315(f140(x98641),x98645),f102(x98641))))),f146(x98641,x98646)))+~P107(f315(f315(f317(f900(x98641,x98641)),f315(f315(f240(x98641,x98641),x98643),x98645)),x98646))
% 201.34/201.10 [9938]E(x99381,x99382)+~P107(f315(f315(f317(f900(f894(x99383),f894(x99383))),f315(f315(f240(f894(x99383),f894(x99383)),f315(f315(f123(x99383),x99385),f315(f315(f140(x99383),x99381),f102(x99383)))),f315(f315(f123(x99383),x99386),f315(f315(f140(x99383),x99382),f102(x99383))))),f146(x99383,x99384)))+P107(f315(f315(f317(f900(x99383,x99383)),f315(f315(f240(x99383,x99383),x99381),x99382)),x99384))
% 201.34/201.10 [9969]~P107(f315(f315(f317(f900(f894(x99691),f894(x99691))),f315(f315(f240(f894(x99691),f894(x99691)),f315(f315(f123(x99691),x99695),f315(f315(f140(x99691),x99692),f102(x99691)))),f315(f315(f123(x99691),x99696),f315(f315(f140(x99691),x99693),f102(x99691))))),f146(x99691,x99694)))+P107(f315(f315(f317(f900(f894(x99691),f894(x99691))),f315(f315(f240(f894(x99691),f894(x99691)),x99695),x99696)),f146(x99691,x99694)))+P107(f315(f315(f317(f900(x99691,x99691)),f315(f315(f240(x99691,x99691),x99692),x99693)),x99694))
% 201.34/201.10 [9989]P107(f315(x99891,x99892))+P107(f315(f315(f317(x99893),f450(x99891,x99894,x99895,x99896,x99893)),f315(x99894,f451(x99891,x99894,x99895,x99896,x99893))))+~P107(f315(f315(f317(x99893),x99892),f315(f315(f33(x99896,f901(x99893,a891)),x99895),x99894)))
% 201.34/201.10 [10140]P107(f315(f315(f317(x101401),f815(x101402,x101403,x101404,x101405,x101406,x101401)),x101405))+~P107(f315(f315(f223(f901(x101401,a891)),x101406),x101405))+P107(f315(f315(f223(f901(x101404,a891)),f315(f315(f32(x101401,f901(x101404,a891)),x101405),x101403)),f315(f315(f32(x101401,f901(x101404,a891)),x101405),x101402)))
% 201.34/201.10 [10266]~P107(f315(f315(f223(f901(x102661,a891)),f315(x102664,f815(x102665,x102664,x102661,x102663,x102666,x102662))),f315(x102665,f815(x102665,x102664,x102661,x102663,x102666,x102662))))+~P107(f315(f315(f223(f901(x102662,a891)),x102666),x102663))+P107(f315(f315(f223(f901(x102661,a891)),f315(f315(f32(x102662,f901(x102661,a891)),x102663),x102664)),f315(f315(f32(x102662,f901(x102661,a891)),x102663),x102665)))
% 201.34/201.10 [8983]~P16(x89833,x89834,x89831)+~P107(f315(f54(x89833),x89836))+E(f315(f315(x89831,x89832),f315(f315(f57(x89833,x89834,x89831),x89835),f315(f315(f3(f901(x89833,a891)),x89836),f315(f315(f297(x89833),x89832),f177(f901(x89833,a891)))))),f315(f315(f57(x89833,x89834,x89831),x89835),f315(f315(f297(x89833),x89832),x89836)))
% 201.34/201.10 [9276]~P107(f315(f315(f317(x92765),x92763),x92766))+P107(f315(f315(f223(f901(x92761,a891)),f315(x92762,x92763)),x92764))+~P107(f315(f315(f223(f901(x92761,a891)),f315(f315(f33(x92765,f901(x92761,a891)),x92766),x92762)),x92764))
% 201.34/201.10 [9913]~P8(x99131,x99135,x99134)+P107(f315(f315(f317(f900(x99131,x99131)),f315(f315(f240(x99131,x99131),x99132),x99133)),x99134))+~P107(f315(f315(f317(x99131),x99136),f315(f315(f90(f901(x99131,a891)),f315(f273(x99131,x99131,x99134),f315(f315(f297(x99131),x99132),f177(f901(x99131,a891))))),f315(f273(x99131,x99131,x99134),f315(f315(f297(x99131),x99133),f177(f901(x99131,a891)))))))
% 201.34/201.10 [8704]~P131(x87042)+~E(f315(f315(f73(x87042),f315(f315(f74(x87042),x87044),x87045)),x87041),f315(f315(f73(x87042),f315(f315(f74(x87042),x87043),x87045)),x87046))+E(x87041,f315(f315(f73(x87042),f315(f315(f74(x87042),f315(f315(f3(x87042),x87043),x87044)),x87045)),x87046))
% 201.34/201.10 [8705]~P131(x87051)+~E(f315(f315(f73(x87051),f315(f315(f74(x87051),x87052),x87054)),x87055),f315(f315(f73(x87051),f315(f315(f74(x87051),x87053),x87054)),x87056))+E(f315(f315(f73(x87051),f315(f315(f74(x87051),f315(f315(f3(x87051),x87052),x87053)),x87054)),x87055),x87056)
% 201.34/201.10 [8888]~P131(x88881)+E(f315(f315(f73(x88881),f315(f315(f74(x88881),x88882),x88883)),x88884),f315(f315(f73(x88881),f315(f315(f74(x88881),x88885),x88883)),x88886))+~E(x88886,f315(f315(f73(x88881),f315(f315(f74(x88881),f315(f315(f3(x88881),x88882),x88885)),x88883)),x88884))
% 201.34/201.10 [8889]~P131(x88891)+E(f315(f315(f73(x88891),f315(f315(f74(x88891),x88892),x88893)),x88894),f315(f315(f73(x88891),f315(f315(f74(x88891),x88895),x88893)),x88896))+~E(f315(f315(f73(x88891),f315(f315(f74(x88891),f315(f315(f3(x88891),x88892),x88895)),x88893)),x88894),x88896)
% 201.34/201.10 [9213]~P107(f315(f315(x92134,x92135),x92136))+~P107(f315(f315(x92133,x92135),x92136))+P107(f315(f315(f315(f315(f90(f901(x92131,f901(x92132,a891))),x92133),x92134),x92135),x92136))
% 201.34/201.10 [9477]P107(f315(f315(x94771,x94772),x94773))+P107(f315(f315(x94774,x94772),x94773))+~P107(f315(f315(f315(f315(f99(f901(x94775,f901(x94776,a891))),x94774),x94771),x94772),x94773))
% 201.34/201.10 [9778]~P132(x97781)+~P107(f315(f315(f223(x97781),f315(f315(f73(x97781),f315(f315(f74(x97781),x97784),x97785)),x97782)),f315(f315(f73(x97781),f315(f315(f74(x97781),x97783),x97785)),x97786)))+P107(f315(f315(f223(x97781),x97782),f315(f315(f73(x97781),f315(f315(f74(x97781),f315(f315(f3(x97781),x97783),x97784)),x97785)),x97786)))
% 201.34/201.10 [9779]~P132(x97791)+~P107(f315(f315(f224(x97791),f315(f315(f73(x97791),f315(f315(f74(x97791),x97794),x97795)),x97792)),f315(f315(f73(x97791),f315(f315(f74(x97791),x97793),x97795)),x97796)))+P107(f315(f315(f224(x97791),x97792),f315(f315(f73(x97791),f315(f315(f74(x97791),f315(f315(f3(x97791),x97793),x97794)),x97795)),x97796)))
% 201.34/201.10 [9802]~P132(x98021)+P107(f315(f315(f223(x98021),f315(f315(f73(x98021),f315(f315(f74(x98021),x98022),x98023)),x98024)),f315(f315(f73(x98021),f315(f315(f74(x98021),x98025),x98023)),x98026)))+~P107(f315(f315(f223(x98021),x98024),f315(f315(f73(x98021),f315(f315(f74(x98021),f315(f315(f3(x98021),x98025),x98022)),x98023)),x98026)))
% 201.34/201.10 [9803]~P132(x98031)+P107(f315(f315(f224(x98031),f315(f315(f73(x98031),f315(f315(f74(x98031),x98032),x98033)),x98034)),f315(f315(f73(x98031),f315(f315(f74(x98031),x98035),x98033)),x98036)))+~P107(f315(f315(f224(x98031),x98034),f315(f315(f73(x98031),f315(f315(f74(x98031),f315(f315(f3(x98031),x98035),x98032)),x98033)),x98036)))
% 201.34/201.10 [9905]~P132(x99051)+~P107(f315(f315(f223(x99051),f315(f315(f73(x99051),f315(f315(f74(x99051),x99052),x99054)),x99055)),f315(f315(f73(x99051),f315(f315(f74(x99051),x99053),x99054)),x99056)))+P107(f315(f315(f223(x99051),f315(f315(f73(x99051),f315(f315(f74(x99051),f315(f315(f3(x99051),x99052),x99053)),x99054)),x99055)),x99056))
% 201.34/201.10 [9906]~P132(x99061)+~P107(f315(f315(f224(x99061),f315(f315(f73(x99061),f315(f315(f74(x99061),x99062),x99064)),x99065)),f315(f315(f73(x99061),f315(f315(f74(x99061),x99063),x99064)),x99066)))+P107(f315(f315(f224(x99061),f315(f315(f73(x99061),f315(f315(f74(x99061),f315(f315(f3(x99061),x99062),x99063)),x99064)),x99065)),x99066))
% 201.34/201.10 [9952]~P132(x99521)+P107(f315(f315(f223(x99521),f315(f315(f73(x99521),f315(f315(f74(x99521),x99522),x99523)),x99524)),f315(f315(f73(x99521),f315(f315(f74(x99521),x99525),x99523)),x99526)))+~P107(f315(f315(f223(x99521),f315(f315(f73(x99521),f315(f315(f74(x99521),f315(f315(f3(x99521),x99522),x99525)),x99523)),x99524)),x99526))
% 201.34/201.10 [9953]~P132(x99531)+P107(f315(f315(f224(x99531),f315(f315(f73(x99531),f315(f315(f74(x99531),x99532),x99533)),x99534)),f315(f315(f73(x99531),f315(f315(f74(x99531),x99535),x99533)),x99536)))+~P107(f315(f315(f224(x99531),f315(f315(f73(x99531),f315(f315(f74(x99531),f315(f315(f3(x99531),x99532),x99535)),x99533)),x99534)),x99536))
% 201.34/201.10 [10125]~P76(x101252)+~P107(f315(f54(x101251),x101256))+E(f315(f315(f8(x101251,x101252),f315(f315(f20(x101251,x101252,x101252),f315(f315(f20(x101251,x101252,f901(x101252,x101252)),f315(f315(f10(a891,f901(x101252,f901(x101252,x101252)),x101251),f85(x101252)),x101253)),x101254)),x101255)),x101256),f315(f315(f73(x101252),f315(f315(f8(x101251,x101252),x101254),f315(f315(f90(f901(x101251,a891)),x101256),f315(f250(x101251),x101253)))),f315(f315(f8(x101251,x101252),x101255),f315(f315(f90(f901(x101251,a891)),x101256),f315(f72(f901(x101251,a891)),f315(f250(x101251),x101253))))))
% 201.34/201.10 [10185]P107(f315(f315(f317(x101852),x101854),x101856))+P107(f315(f315(f317(x101852),x101855),x101856))+E(f315(f299(x101851,x101852,f315(f315(f9(x101851,x101852,x101852),f315(f315(f9(x101851,x101852,f901(x101852,x101852)),f315(f315(f10(a891,f901(x101852,f901(x101852,x101852)),x101851),f85(x101852)),f315(f315(f9(x101851,f901(x101851,a891),a891),f317(x101851)),x101853))),x101854)),x101855)),x101856),f177(f901(x101851,a891)))
% 201.34/201.10 [10186]P107(f315(f315(f317(x101862),x101865),x101866))+~P107(f315(f315(f317(x101862),x101864),x101866))+E(f315(f299(x101861,x101862,f315(f315(f9(x101861,x101862,x101862),f315(f315(f9(x101861,x101862,f901(x101862,x101862)),f315(f315(f10(a891,f901(x101862,f901(x101862,x101862)),x101861),f85(x101862)),f315(f315(f9(x101861,f901(x101861,a891),a891),f317(x101861)),x101863))),x101864)),x101865)),x101866),x101863)
% 201.34/201.10 [10187]P107(f315(f315(f317(x101872),x101874),x101876))+~P107(f315(f315(f317(x101872),x101875),x101876))+E(f315(f299(x101871,x101872,f315(f315(f9(x101871,x101872,x101872),f315(f315(f9(x101871,x101872,f901(x101872,x101872)),f315(f315(f10(a891,f901(x101872,f901(x101872,x101872)),x101871),f85(x101872)),f315(f315(f9(x101871,f901(x101871,a891),a891),f317(x101871)),x101873))),x101874)),x101875)),x101876),f315(f72(f901(x101871,a891)),x101873))
% 201.34/201.10 [10188]~P107(f315(f315(f317(x101882),x101884),x101886))+~P107(f315(f315(f317(x101882),x101885),x101886))+E(f315(f299(x101881,x101882,f315(f315(f9(x101881,x101882,x101882),f315(f315(f9(x101881,x101882,f901(x101882,x101882)),f315(f315(f10(a891,f901(x101882,f901(x101882,x101882)),x101881),f85(x101882)),f315(f315(f9(x101881,f901(x101881,a891),a891),f317(x101881)),x101883))),x101884)),x101885)),x101886),f230(f901(x101881,a891)))
% 201.34/201.10 [8738]E(x87381,x87382)+~P58(x87384,x87385,x87383,x87386,x87387)+~E(f315(x87383,x87381),f315(x87383,x87382))
% 201.34/201.10 [8767]~P10(x87676,x87675,x87677,x87674,x87671)+E(f315(f315(x87671,x87672),x87673),x87674)+P107(f315(f54(x87675),x87673))
% 201.34/201.10 [9645]P44(x96451,x96452,x96453,x96454,x96455,f315(f315(x96453,x96456),x96457))+~E(f315(f315(x96453,x96456),x96457),x96454)+~E(x96455,f177(f901(x96451,a891)))
% 201.34/201.10 [9824]~P107(f315(x98246,x98243))+~P107(f315(f315(f317(f900(x98242,x98242)),f315(f315(f240(x98242,x98242),x98244),x98245)),f315(x98247,x98243)))+P107(f315(f315(f317(f900(f900(x98241,x98242),f900(x98241,x98242))),f315(f315(f240(f900(x98241,x98242),f900(x98241,x98242)),f315(f315(f240(x98241,x98242),x98243),x98244)),f315(f315(f240(x98241,x98242),x98243),x98245))),f268(x98241,x98242,x98246,x98247)))
% 201.34/201.10 [10250]~P44(x102502,x102507,x102503,x102506,x102501,f315(f315(x102503,x102505),x102504))+E(f315(f315(x102503,f370(x102504,x102505,x102501,x102506,x102503,x102507,x102502)),f382(x102504,x102505,x102501,x102506,x102503,x102507,x102502)),f315(f315(x102503,x102505),x102504))+E(x102501,f177(f901(x102502,a891)))
% 201.34/201.10 [10251]~P44(x102517,x102516,x102511,x102514,x102515,f315(f315(x102511,x102512),x102513))+E(f315(f315(x102511,f370(x102513,x102512,x102515,x102514,x102511,x102516,x102517)),f382(x102513,x102512,x102515,x102514,x102511,x102516,x102517)),f315(f315(x102511,x102512),x102513))+E(f315(f315(x102511,x102512),x102513),x102514)
% 201.34/201.10 [9310]~P36(x93101,x93102,x93103,x93105,x93107)+P36(x93101,x93102,x93103,f315(f315(f140(x93101),x93104),x93105),f315(f315(f140(x93102),x93106),x93107))+~P107(f315(f315(x93103,x93104),x93106))
% 201.34/201.10 [9329]P36(x93291,x93292,x93293,x93294,x93295)+~P36(x93291,x93292,x93293,f315(f315(f123(x93291),x93296),x93294),f315(f315(f123(x93292),x93297),x93295))+~E(f315(f178(f894(x93291)),x93296),f315(f178(f894(x93292)),x93297))
% 201.34/201.10 [9330]P36(x93301,x93302,x93303,x93304,x93305)+~P36(x93301,x93302,x93303,f315(f315(f123(x93301),x93304),x93306),f315(f315(f123(x93302),x93305),x93307))+~E(f315(f178(f894(x93301)),x93304),f315(f178(f894(x93302)),x93305))
% 201.34/201.10 [9544]~P36(x95441,x95442,x95443,x95445,x95447)+~P36(x95441,x95442,x95443,x95444,x95446)+P36(x95441,x95442,x95443,f315(f315(f123(x95441),x95444),x95445),f315(f315(f123(x95442),x95446),x95447))
% 201.34/201.10 [9898]~P107(f315(f59(x98981,x98984,x98985,x98986,x98983),x98987))+P107(f315(f59(x98981,x98984,x98985,x98986,f315(f315(f297(x98981),x98982),x98983)),f315(f315(x98985,x98982),x98987)))+P107(f315(f315(f317(x98981),x98982),x98983))
% 201.34/201.10 [10282]~P44(x102822,x102827,x102826,x102825,x102821,f315(f315(x102826,x102824),x102823))+E(x102821,f177(f901(x102822,a891)))+P107(f315(f315(f317(x102822),f370(x102823,x102824,x102821,x102825,x102826,x102827,x102822)),x102821))
% 201.34/201.10 [10283]~P44(x102835,x102837,x102831,x102834,x102836,f315(f315(x102831,x102832),x102833))+E(f315(f315(x102831,x102832),x102833),x102834)+P107(f315(f315(f317(x102835),f370(x102833,x102832,x102836,x102834,x102831,x102837,x102835)),x102836))
% 201.34/201.10 [10370]E(f315(f315(f240(x103701,x103702),x103703),x103704),f315(f315(f240(x103701,x103702),x103705),x103706))+P107(f315(f315(f317(f900(f900(x103701,x103702),f900(x103701,x103702))),f315(f315(f240(f900(x103701,x103702),f900(x103701,x103702)),f315(f315(f240(x103701,x103702),f820(x103707,x103704,x103703,x103706,x103705,x103702,x103701)),f826(x103707,x103704,x103703,x103706,x103705,x103702,x103701))),f315(f315(f240(x103701,x103702),x103703),x103704))),f295(f900(x103701,x103702),x103707)))+~P107(f315(f315(f317(f900(f900(x103701,x103702),f900(x103701,x103702))),f315(f315(f240(f900(x103701,x103702),f900(x103701,x103702)),f315(f315(f240(x103701,x103702),x103705),x103706)),f315(f315(f240(x103701,x103702),x103703),x103704))),f295(f900(x103701,x103702),x103707)))
% 201.34/201.10 [9008]~P22(x90084,x90085,x90086,x90087,x90081)+~P107(f315(f54(x90085),x90083))+E(f315(f315(x90081,x90082),x90083),f315(f315(f315(f58(x90084,x90085,x90086),x90082),x90087),x90083))
% 201.34/201.10 [9009]~P10(x90094,x90095,x90096,x90097,x90091)+~P107(f315(f54(x90095),x90093))+E(f315(f315(x90091,x90092),x90093),f315(f315(f315(f58(x90094,x90095,x90096),x90092),x90097),x90093))
% 201.34/201.10 [9797]~P24(x97973,x97974,x97975,x97977,x97976,x97971)+~P107(f315(f54(x97974),x97972))+E(f315(x97971,x97972),f315(f315(f315(f58(x97973,x97974,x97975),x97976),x97977),x97972))
% 201.34/201.10 [9947]P44(x99471,x99472,x99473,x99474,x99475,f315(f315(x99473,x99476),x99477))+~P44(x99471,x99472,x99473,x99474,f315(f315(f3(f901(x99471,a891)),x99475),f315(f315(f297(x99471),x99476),f177(f901(x99471,a891)))),x99477)+~P107(f315(f315(f317(x99471),x99476),x99475))
% 201.34/201.10 [10306]P107(f315(f315(x103067,f767(x103064,x103065,x103061,x103066,x103063,x103062,x103067)),f765(x103064,x103065,x103061,x103066,x103063,x103062,x103067)))+~P107(f315(f315(x103067,f315(f244(x103062,x103063),x103066)),f315(f239(x103062,x103063),x103066)))+P107(f315(x103061,f315(f315(f245(x103062,x103063,x103064),x103065),x103066)))
% 201.34/201.10 [10316]~P44(x103162,x103163,x103164,x103165,x103161,f315(f315(x103164,x103167),x103166))+P44(x103162,x103163,x103164,x103165,f315(f315(f3(f901(x103162,a891)),x103161),f315(f315(f297(x103162),f370(x103166,x103167,x103161,x103165,x103164,x103163,x103162)),f177(f901(x103162,a891)))),f382(x103166,x103167,x103161,x103165,x103164,x103163,x103162))+E(x103161,f177(f901(x103162,a891)))
% 201.34/201.10 [10317]~P44(x103175,x103176,x103171,x103174,x103177,f315(f315(x103171,x103172),x103173))+P44(x103175,x103176,x103171,x103174,f315(f315(f3(f901(x103175,a891)),x103177),f315(f315(f297(x103175),f370(x103173,x103172,x103177,x103174,x103171,x103176,x103175)),f177(f901(x103175,a891)))),f382(x103173,x103172,x103177,x103174,x103171,x103176,x103175))+E(f315(f315(x103171,x103172),x103173),x103174)
% 201.34/201.10 [10337]~P107(f315(x103371,f315(f315(x103375,f765(x103374,x103375,x103371,x103376,x103373,x103372,x103377)),f767(x103374,x103375,x103371,x103376,x103373,x103372,x103377))))+~P107(f315(f315(x103377,f315(f244(x103372,x103373),x103376)),f315(f239(x103372,x103373),x103376)))+P107(f315(x103371,f315(f315(f245(x103372,x103373,x103374),x103375),x103376)))
% 201.34/201.10 [9630]P107(f315(f315(f223(f901(f900(x96301,x96302),a891)),f315(f315(f277(x96301,x96303,x96302),x96304),x96305)),f315(f315(f277(x96301,x96303,x96302),x96306),x96307)))+~P107(f315(f315(f223(f901(f900(x96303,x96302),a891)),x96305),x96307))+~P107(f315(f315(f223(f901(f900(x96301,x96303),a891)),x96304),x96306))
% 201.34/201.10 [10364]E(f315(f315(f240(x103641,x103642),x103643),x103644),f315(f315(f240(x103641,x103642),x103645),x103646))+~P107(f315(f315(f317(f900(f900(x103641,x103642),f900(x103641,x103642))),f315(f315(f240(f900(x103641,x103642),f900(x103641,x103642)),f315(f315(f240(x103641,x103642),x103643),x103644)),f315(f315(f240(x103641,x103642),x103645),x103646))),f295(f900(x103641,x103642),x103647)))+P107(f315(f315(f317(f900(f900(x103641,x103642),f900(x103641,x103642))),f315(f315(f240(f900(x103641,x103642),f900(x103641,x103642)),f315(f315(f240(x103641,x103642),x103643),x103644)),f315(f315(f240(x103641,x103642),f820(x103647,x103646,x103645,x103644,x103643,x103642,x103641)),f826(x103647,x103646,x103645,x103644,x103643,x103642,x103641)))),x103647))
% 201.34/201.10 [9958]~P107(f315(f315(f317(x99581),x99586),x99585))+P107(f315(f59(x99581,x99582,x99583,x99584,x99585),f315(f315(x99583,x99586),x99587)))+~P107(f315(f59(x99581,x99582,x99583,x99584,f315(f315(f3(f901(x99581,a891)),x99585),f315(f315(f297(x99581),x99586),f177(f901(x99581,a891))))),x99587))
% 201.34/201.10 [10377]~P148(x103771)+~P26(f900(x103772,x103773),x103771,f315(f245(x103772,x103773,x103771),f315(f315(f9(x103772,f901(x103773,x103771),f901(x103773,x103771)),f315(f315(f10(f901(x103771,x103771),f901(f901(x103773,x103771),f901(x103773,x103771)),x103772),f10(x103771,x103771,x103773)),f315(f315(f10(x103771,f901(x103771,x103771),x103772),f74(x103771)),x103774))),x103775)),f315(f315(f242(x103772,x103773),x103776),f315(f18(f901(x103773,a891),x103772),x103777)))+E(f315(f315(f8(x103771,x103771),f25(x103771)),f315(f250(x103771),f315(f315(f10(f901(x103772,a891),a891,x103771),f80(x103772)),f315(f315(f10(f901(x103772,f901(x103773,a891)),f901(x103772,a891),x103771),f315(f10(f901(x103773,a891),a891,x103772),f80(x103773))),f315(f315(f9(x103771,f901(x103772,f901(x103773,a891)),f901(x103772,f901(x103773,a891))),f315(f315(f10(f901(x103772,f901(f901(x103773,a891),f901(x103773,a891))),f901(f901(x103772,f901(x103773,a891)),f901(x103772,f901(x103773,a891))),x103771),f20(x103772,f901(x103773,a891),f901(x103773,a891))),f315(f315(f10(f901(x103772,f901(x103773,f901(a891,a891))),f901(x103772,f901(f901(x103773,a891),f901(x103773,a891))),x103771),f315(f10(f901(x103773,f901(a891,a891)),f901(f901(x103773,a891),f901(x103773,a891)),x103772),f20(x103773,a891,a891))),f315(f315(f10(f901(x103772,f901(x103773,a891)),f901(x103772,f901(x103773,f901(a891,a891))),x103771),f315(f10(f901(x103773,a891),f901(x103773,f901(a891,a891)),x103772),f315(f10(a891,f901(a891,a891),x103773),a313))),f315(f315(f9(x103771,f901(x103772,f901(x103773,x103771)),f901(x103772,f901(x103773,a891))),f315(f315(f10(f901(f901(x103773,x103771),f901(x103773,a891)),f901(f901(x103772,f901(x103773,x103771)),f901(x103772,f901(x103773,a891))),x103771),f10(f901(x103773,x103771),f901(x103773,a891),x103772)),f315(f315(f10(f901(x103771,a891),f901(f901(x103773,x103771),f901(x103773,a891)),x103771),f10(x103771,a891,x103773)),a312))),f315(f315(f9(x103772,f901(x103773,x103771),f901(x103773,x103771)),f315(f315(f10(f901(x103771,x103771),f901(f901(x103773,x103771),f901(x103773,x103771)),x103772),f10(x103771,x103771,x103773)),f315(f315(f10(x103771,f901(x103771,x103771),x103772),f74(x103771)),x103774))),x103775)))))),f315(f315(f9(x103772,f901(x103773,a891),f901(x103773,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x103773,a891),f901(x103773,a891)),x103772),f10(a891,a891,x103773)),f315(f315(f10(a891,f901(a891,a891),x103772),a313),f315(f315(f9(x103772,f901(x103772,a891),a891),f317(x103772)),x103776)))),f315(f315(f9(x103773,f901(x103773,a891),a891),f317(x103773)),x103777))))))),f315(f315(f74(x103771),f315(f315(f8(x103772,x103771),x103774),x103776)),f315(f315(f8(x103773,x103771),x103775),x103777)))
% 201.34/201.10 [9634]~P27(x96341,x96343,x96345,x96346,x96348)+~P27(x96343,x96342,x96344,x96348,x96347)+P27(x96341,x96342,f315(f66(x96343,x96342,x96341,x96344),x96345),x96346,x96347)
% 201.34/201.10 [9663]P27(x96631,x96632,x96633,x96634,x96635)+~P27(x96636,x96631,x96637,x96638,x96634)+~P27(x96636,x96632,f315(f66(x96631,x96632,x96636,x96633),x96637),x96638,x96635)
% 201.34/201.10 [9795]~P107(f315(f315(x97954,x97956),x97958))+~P107(f315(f315(x97955,x97958),x97957))+P107(f315(f315(f241(x97951,x97952,x97953,x97954,x97955),x97956),x97957))
% 201.34/201.10 [9384]~P19(x93848,x93841,x93843,x93845)+~P107(f315(f54(x93848),x93846))+E(f315(f66(x93841,x93841,x93842,f315(x93843,x93844)),f315(f66(x93841,x93841,x93842,f315(x93845,x93846)),x93847)),f315(f66(x93841,x93841,x93842,f315(x93845,x93846)),f315(f66(x93841,x93841,x93842,f315(x93843,x93844)),x93847)))
% 201.34/201.10 [9785]~P23(x97857,x97852,x97855,x97858,x97856,x97851)+~P107(f315(f54(x97852),x97854))+E(f315(x97851,f315(f315(f297(x97852),x97853),x97854)),f315(f315(x97855,f315(x97856,x97853)),f315(x97851,x97854)))
% 201.34/201.10 [9903]~P26(x99032,x99034,x99036,x99038)+~P26(x99031,x99033,x99035,x99037)+P26(f900(x99031,x99032),f900(x99033,x99034),f246(x99031,x99033,x99032,x99034,x99035,x99036),f315(f315(f242(x99031,x99032),x99037),f315(f18(f901(x99032,a891),x99031),x99038)))
% 201.34/201.10 [9570]P107(f315(f315(f317(f900(x95701,x95702)),f315(f315(f240(x95701,x95702),x95703),x95704)),f315(f315(f277(x95701,x95705,x95702),x95706),x95707)))+~P107(f315(f315(f317(f900(x95701,x95705)),f315(f315(f240(x95701,x95705),x95703),x95708)),x95706))+~P107(f315(f315(f317(f900(x95705,x95702)),f315(f315(f240(x95705,x95702),x95708),x95704)),x95707))
% 201.34/201.10 [9766]~P107(f315(f315(f223(f901(f900(x97663,x97662),a891)),x97665),f315(f315(f242(x97663,x97662),x97668),f315(f18(f901(x97662,a891),x97663),x97667))))+~P107(f315(f315(f223(f901(f900(x97661,x97663),a891)),x97664),f315(f315(f242(x97661,x97663),x97666),f315(f18(f901(x97663,a891),x97661),x97668))))+P107(f315(f315(f223(f901(f900(x97661,x97662),a891)),f315(f315(f277(x97661,x97663,x97662),x97664),x97665)),f315(f315(f242(x97661,x97662),x97666),f315(f18(f901(x97662,a891),x97661),x97667))))
% 201.34/201.10 [9819]~E(x98193,x98195)+P107(f315(f315(f317(f900(f900(x98191,x98192),f900(x98191,x98192))),f315(f315(f240(f900(x98191,x98192),f900(x98191,x98192)),f315(f315(f240(x98191,x98192),x98193),x98194)),f315(f315(f240(x98191,x98192),x98195),x98196))),f307(x98191,x98192,x98197,x98198)))+~P107(f315(f315(f317(f900(x98192,x98192)),f315(f315(f240(x98192,x98192),x98194),x98196)),x98198))
% 201.34/201.10 [9922]E(x99221,x99222)+~P107(f315(f315(f317(f900(f900(x99223,x99225),f900(x99223,x99225))),f315(f315(f240(f900(x99223,x99225),f900(x99223,x99225)),f315(f315(f240(x99223,x99225),x99221),x99226)),f315(f315(f240(x99223,x99225),x99222),x99227))),f307(x99223,x99225,x99224,x99228)))+P107(f315(f315(f317(f900(x99223,x99223)),f315(f315(f240(x99223,x99223),x99221),x99222)),x99224))
% 201.34/201.10 [9937]~P107(f315(f315(f317(f900(f900(x99371,x99375),f900(x99371,x99375))),f315(f315(f240(f900(x99371,x99375),f900(x99371,x99375)),f315(f315(f240(x99371,x99375),x99372),x99376)),f315(f315(f240(x99371,x99375),x99373),x99377))),f307(x99371,x99375,x99374,x99378)))+P107(f315(f315(f317(f900(x99371,x99371)),f315(f315(f240(x99371,x99371),x99372),x99373)),x99374))+P107(f315(f315(f317(f900(x99375,x99375)),f315(f315(f240(x99375,x99375),x99376),x99377)),x99378))
% 201.34/201.10 [9854]~P24(x98547,x98545,x98541,x98548,x98542,x98544)+~P107(f315(f54(x98545),x98546))+E(f315(f315(x98541,f315(x98542,x98543)),f315(x98544,f315(f315(f3(f901(x98545,a891)),x98546),f315(f315(f297(x98545),x98543),f177(f901(x98545,a891)))))),f315(x98544,f315(f315(f297(x98545),x98543),x98546)))
% 201.34/201.10 [9336]~P107(f315(f315(f315(x93365,x93368),x93366),x93367))+~P107(f315(f315(f317(x93361),x93368),x93364))+P107(f315(f315(f315(f315(f33(x93361,f901(x93362,f901(x93363,a891))),x93364),x93365),x93366),x93367))
% 201.34/201.10 [9555]P107(f315(f315(f315(x95551,x95552),x95553),x95554))+~P107(f315(f315(f317(x95555),x95552),x95556))+~P107(f315(f315(f315(f315(f32(x95555,f901(x95557,f901(x95558,a891))),x95556),x95551),x95553),x95554))
% 201.34/201.10 [9759]~P22(x97593,x97592,x97594,x97598,x97591)+~P107(f315(f54(x97592),x97597))+E(f315(f315(x97591,f315(f315(f20(x97592,x97593,x97593),f315(f315(f10(x97593,f901(x97593,x97593),x97592),x97594),x97595)),x97596)),x97597),f315(f315(x97594,f315(f315(x97591,x97595),x97597)),f315(f315(x97591,x97596),x97597)))
% 201.34/201.10 [10023]~E(f315(f298(x100232,x100234,x100236),x100238),x1002310)+~E(f315(f298(x100231,x100233,x100235),x100237),x100239)+E(f315(f298(f900(x100231,x100232),f900(x100233,x100234),f246(x100231,x100233,x100232,x100234,x100235,x100236)),f315(f315(f242(x100231,x100232),x100237),f315(f18(f901(x100232,a891),x100231),x100238))),f315(f315(f242(x100233,x100234),x100239),f315(f18(f901(x100234,a891),x100233),x1002310)))
% 201.34/201.10 [4937]~P45(x49371,x49372)+~P51(x49371,x49372)+~P52(x49371,x49372)+P7(x49371,x49372)
% 201.34/201.10 [4893]~P110(x48932)+~P13(x48932,x48931)+P13(x48932,f103(x48932,x48931))+E(x48931,f102(x48932))
% 201.34/201.10 [4894]~P110(x48942)+~P13(x48942,x48941)+P13(x48942,f685(x48941,x48942))+E(x48941,f102(x48942))
% 201.34/201.10 [5141]~P5(x51412)+E(f12(x51412,x51411),f30(x51412,x51411))+E(x51411,f177(f901(x51412,a891)))+~P107(f315(f54(x51412),x51411))
% 201.34/201.10 [5142]~P5(x51422)+E(f13(x51422,x51421),f31(x51422,x51421))+E(x51421,f177(f901(x51422,a891)))+~P107(f315(f54(x51422),x51421))
% 201.34/201.10 [5301]~P110(x53012)+~P13(x53012,x53011)+E(x53011,f102(x53012))+E(f315(f315(f140(x53012),f705(x53011,x53012)),f685(x53011,x53012)),x53011)
% 201.34/201.10 [6124]~P80(x61242)+E(x61241,f177(f901(x61242,a891)))+P107(f315(f315(f223(x61242),f13(x61242,x61241)),f12(x61242,x61241)))+~P107(f315(f54(x61242),x61241))
% 201.34/201.10 [6135]~P42(x61352)+~P42(x61351)+E(x61351,x61352)+~E(f315(f298(a1,a893,a93),x61351),f315(f298(a1,a893,a93),x61352))
% 201.34/201.10 [9192]~P120(x91921)+~P107(f315(f315(f317(x91921),x91922),f98(x91921)))+P107(f315(f315(f224(x91921),f315(f315(f73(x91921),f315(f315(f73(x91921),f71(x91921)),x91922)),x91922)),f2(x91921)))+~P107(f315(f315(f224(x91921),x91922),f2(x91921)))
% 201.34/201.10 [9437]~P120(x94371)+~P107(f315(f315(f317(x94371),x94372),f98(x94371)))+~P107(f315(f315(f224(x94371),f315(f315(f73(x94371),f315(f315(f73(x94371),f71(x94371)),x94372)),x94372)),f2(x94371)))+P107(f315(f315(f224(x94371),x94372),f2(x94371)))
% 201.34/201.10 [4952]~P116(x49522)+~P148(x49522)+E(x49521,f2(a893))+E(f315(f315(f232(x49522),f2(x49522)),x49521),f2(x49522))
% 201.34/201.10 [4955]~P116(x49551)+~P148(x49551)+~E(x49552,f2(a893))+E(f315(f315(f232(x49551),f2(x49551)),x49552),f71(x49551))
% 201.34/201.10 [5127]~P145(x51272)+E(x51271,f71(x51272))+E(x51271,f315(f72(x51272),f71(x51272)))+~E(f315(f315(f74(x51272),x51271),x51271),f71(x51272))
% 201.34/201.10 [5377]~P93(x53772)+E(x53771,f2(x53772))+E(f75(x53772,x53771),f315(f72(x53772),f71(x53772)))+P107(f315(f315(f224(x53772),f2(x53772)),x53771))
% 201.34/201.10 [5621]~P93(x56212)+E(f75(x56212,x56211),f71(x56212))+E(x56211,f2(x56212))+~P107(f315(f315(f224(x56212),f2(x56212)),x56211))
% 201.34/201.10 [5630]E(x56301,x56302)+~E(f315(f92(a893),x56301),f315(f92(a893),x56302))+P107(f315(a182,f315(f92(a1),x56302)))+P107(f315(a182,f315(f92(a1),x56301)))
% 201.34/201.10 [5681]~P95(x56811)+~E(x56812,f2(x56811))+E(f315(f315(f73(x56811),x56812),x56812),f2(x56811))+~P107(f315(f315(f317(x56811),x56812),f98(x56811)))
% 201.34/201.10 [5720]E(x57201,f2(a1))+~E(f315(f315(f29(a1),x57202),x57201),f2(a1))+P107(f315(f315(f224(a1),x57201),x57202))+P107(f315(f315(f224(a1),x57202),x57201))
% 201.34/201.10 [5750]E(x57501,f2(a1))+~E(f315(f315(f29(a1),x57502),x57501),f2(a1))+P107(f315(f315(f223(a1),x57502),f2(a1)))+P107(f315(f315(f224(a1),x57502),x57501))
% 201.34/201.10 [5784]E(x57841,f2(a1))+~E(f315(f315(f29(a1),x57842),x57841),f2(a1))+P107(f315(f315(f223(a1),f2(a1)),x57842))+P107(f315(f315(f224(a1),x57841),x57842))
% 201.34/201.10 [5819]~P95(x58192)+E(x58191,f2(x58192))+~E(f315(f315(f73(x58192),x58191),x58191),f2(x58192))+~P107(f315(f315(f317(x58192),x58191),f98(x58192)))
% 201.34/201.10 [5890]E(f315(f92(a893),x58901),f315(f92(a893),x58902))+~E(f315(f92(a1),x58902),f2(a1))+P107(f315(a182,f315(f92(a1),x58902)))+~P107(f315(a182,f315(f92(a1),x58901)))
% 201.34/201.10 [5919]~E(f315(f92(a893),x59192),f315(f92(a893),x59191))+E(f315(f92(a1),x59191),f2(a1))+P107(f315(a182,f315(f92(a1),x59191)))+~P107(f315(a182,f315(f92(a1),x59192)))
% 201.34/201.10 [5929]~P110(x59292)+E(x59291,f177(f901(x59292,a891)))+~P107(f315(f54(x59292),x59291))+P107(f315(f315(f317(x59292),f16(x59292,x59291)),x59291))
% 201.34/201.10 [5930]~P110(x59302)+E(x59301,f177(f901(x59302,a891)))+~P107(f315(f54(x59302),x59301))+P107(f315(f315(f317(x59302),f17(x59302,x59301)),x59301))
% 201.34/201.10 [6101]~P120(x61011)+~P97(x61011)+P107(f315(f315(f223(x61011),f2(x61011)),f315(f92(x61011),x61012)))+~P107(f315(f315(f223(a1),a76),x61012))
% 201.34/201.10 [6102]~P120(x61021)+~P97(x61021)+P107(f315(f315(f224(x61021),f2(x61021)),f315(f92(x61021),x61022)))+~P107(f315(f315(f224(a1),a76),x61022))
% 201.34/201.10 [6123]~P120(x61231)+~P97(x61231)+E(f315(f69(x61231),f315(f92(x61231),x61232)),f315(f92(x61231),x61232))+P107(f315(f315(f224(x61231),f315(f92(x61231),x61232)),f2(x61231)))
% 201.34/201.10 [6159]E(x61591,x61592)+~E(f315(a93,x61591),f315(a93,x61592))+~P107(f315(f315(f223(a1),f2(a1)),x61592))+~P107(f315(f315(f223(a1),f2(a1)),x61591))
% 201.34/201.10 [6360]~P97(x63602)+~P120(x63602)+~P107(f315(f315(f223(x63602),f2(x63602)),f315(f92(x63602),x63601)))+P107(f315(f315(f223(a1),a76),x63601))
% 201.34/201.10 [6361]~P97(x63612)+~P120(x63612)+~P107(f315(f315(f224(x63612),f2(x63612)),f315(f92(x63612),x63611)))+P107(f315(f315(f224(a1),a76),x63611))
% 201.34/201.10 [6366]~P120(x63661)+~P97(x63661)+P107(f315(f315(f223(x63661),f315(f92(x63661),x63662)),f2(x63661)))+~P107(f315(f315(f223(a1),x63662),a76))
% 201.34/201.10 [6367]~P120(x63671)+~P97(x63671)+P107(f315(f315(f224(x63671),f315(f92(x63671),x63672)),f2(x63671)))+~P107(f315(f315(f224(a1),x63672),a76))
% 201.34/201.10 [6692]~P97(x66922)+~P120(x66922)+~P107(f315(f315(f223(x66922),f315(f92(x66922),x66921)),f2(x66922)))+P107(f315(f315(f223(a1),x66921),a76))
% 201.34/201.10 [6693]~P97(x66932)+~P120(x66932)+~P107(f315(f315(f224(x66932),f315(f92(x66932),x66931)),f2(x66932)))+P107(f315(f315(f224(a1),x66931),a76))
% 201.34/201.10 [6786]~P120(x67861)+~P97(x67861)+E(f315(f69(x67861),f315(f92(x67861),x67862)),f315(f72(x67861),f315(f92(x67861),x67862)))+~P107(f315(f315(f224(x67861),f315(f92(x67861),x67862)),f2(x67861)))
% 201.34/201.10 [6805]E(f315(f92(a893),x68051),f315(f92(a893),x68052))+~E(f315(f92(a1),x68052),f2(a1))+~P107(f315(f315(f223(a1),f315(f92(a1),x68051)),f2(a1)))+~P107(f315(a182,f315(f92(a1),x68051)))
% 201.34/201.10 [7694]~P110(x76942)+E(x76941,f177(f901(x76942,a891)))+~P107(f315(f54(x76942),x76941))+P107(f315(f315(f223(x76942),f14(x76942,f221(x76942),x76941)),f15(x76942,f222(x76942),x76941)))
% 201.34/201.10 [8013]~P6(x80131)+~P42(x80132)+P107(f315(f315(f317(a1),x80131),x80132))+~P107(f315(f315(f317(a893),f315(a93,x80131)),f315(f298(a1,a893,a93),x80132)))
% 201.34/201.10 [5925]~P144(x59252)+E(x59251,f2(a1))+E(f315(f72(x59252),f315(f91(x59252),f315(f72(a1),x59251))),f315(f91(x59252),x59251))+~P107(f315(f315(f224(a1),x59251),f2(a1)))
% 201.34/201.10 [6003]~P95(x60031)+~P97(x60031)+~P29(x60031,f315(f92(x60031),x60032))+P29(x60031,f315(f92(x60031),f315(f315(f73(a1),x60032),x60032)))
% 201.34/201.10 [6349]~P78(x63492)+E(x63491,f177(f901(x63492,a891)))+E(f17(x63492,f315(f298(x63492,x63492,f72(x63492)),x63491)),f315(f72(x63492),f16(x63492,x63491)))+~P107(f315(f54(x63492),x63491))
% 201.34/201.10 [6350]~P78(x63502)+E(x63501,f177(f901(x63502,a891)))+E(f16(x63502,f315(f298(x63502,x63502,f72(x63502)),x63501)),f315(f72(x63502),f17(x63502,x63501)))+~P107(f315(f54(x63502),x63501))
% 201.34/201.10 [6383]~P95(x63831)+~P97(x63831)+P29(x63831,f315(f92(x63831),x63832))+~P29(x63831,f315(f92(x63831),f315(f315(f73(a1),x63832),x63832)))
% 201.34/201.10 [6478]E(x64781,f2(a1))+E(f315(a44,f43(f315(f72(a1),x64781),f315(f72(a1),x64782))),f39(x64781,x64782))+P107(f315(f315(f223(a1),f2(a1)),x64782))+~P107(f315(f315(f223(a1),f2(a1)),x64781))
% 201.34/201.10 [8795]~P42(x87952)+~P42(x87951)+P107(f315(f315(f224(f901(a893,a891)),f315(f298(a1,a893,a93),x87951)),f315(f298(a1,a893,a93),x87952)))+~P107(f315(f315(f224(f901(a1,a891)),x87951),x87952))
% 201.34/201.10 [9026]~E(f707(x90262,x90261),f708(x90262,x90261))+~P107(f315(f126(x90261),f709(x90262,x90261)))+~P107(f315(f126(f894(x90261)),x90262))+P107(f315(f126(x90261),f315(f131(f894(x90261),f894(x90261),f123(x90261),f102(x90261)),x90262)))
% 201.34/201.10 [9112]~P42(x91122)+~P42(x91121)+~P107(f315(f315(f223(f901(a893,a891)),f315(f298(a1,a893,a93),x91121)),f315(f298(a1,a893,a93),x91122)))+P107(f315(f315(f223(f901(a1,a891)),x91121),x91122))
% 201.34/201.10 [9113]~P42(x91132)+~P42(x91131)+~P107(f315(f315(f224(f901(a893,a891)),f315(f298(a1,a893,a93),x91131)),f315(f298(a1,a893,a93),x91132)))+P107(f315(f315(f224(f901(a1,a891)),x91131),x91132))
% 201.34/201.10 [9119]~E(f707(x91192,x91191),f708(x91192,x91191))+~P107(f315(f126(f894(x91191)),x91192))+P107(f315(f126(x91191),f315(f131(f894(x91191),f894(x91191),f123(x91191),f102(x91191)),x91192)))+P107(f315(f315(f317(f894(x91191)),f709(x91192,x91191)),f315(f161(f894(x91191)),x91192)))
% 201.34/201.10 [9160]~P107(f315(f126(x91601),f709(x91602,x91601)))+~P107(f315(f126(f894(x91601)),x91602))+P107(f315(f126(x91601),f315(f131(f894(x91601),f894(x91601),f123(x91601),f102(x91601)),x91602)))+P107(f315(f315(f317(f894(x91601)),f708(x91602,x91601)),f315(f161(f894(x91601)),x91602)))
% 201.34/201.10 [9161]~P107(f315(f126(x91611),f709(x91612,x91611)))+~P107(f315(f126(f894(x91611)),x91612))+P107(f315(f126(x91611),f315(f131(f894(x91611),f894(x91611),f123(x91611),f102(x91611)),x91612)))+P107(f315(f315(f317(f894(x91611)),f707(x91612,x91611)),f315(f161(f894(x91611)),x91612)))
% 201.34/201.10 [9238]~P107(f315(f126(f894(x92381)),x92382))+P107(f315(f126(x92381),f315(f131(f894(x92381),f894(x92381),f123(x92381),f102(x92381)),x92382)))+P107(f315(f315(f317(f894(x92381)),f708(x92382,x92381)),f315(f161(f894(x92381)),x92382)))+P107(f315(f315(f317(f894(x92381)),f709(x92382,x92381)),f315(f161(f894(x92381)),x92382)))
% 201.34/201.10 [9239]~P107(f315(f126(f894(x92391)),x92392))+P107(f315(f126(x92391),f315(f131(f894(x92391),f894(x92391),f123(x92391),f102(x92391)),x92392)))+P107(f315(f315(f317(f894(x92391)),f707(x92392,x92391)),f315(f161(f894(x92391)),x92392)))+P107(f315(f315(f317(f894(x92391)),f709(x92392,x92391)),f315(f161(f894(x92391)),x92392)))
% 201.34/201.10 [9253]~E(f315(f315(f90(f901(x92531,a891)),f315(f161(x92531),f708(x92532,x92531))),f315(f161(x92531),f707(x92532,x92531))),f177(f901(x92531,a891)))+~P107(f315(f126(x92531),f709(x92532,x92531)))+~P107(f315(f126(f894(x92531)),x92532))+P107(f315(f126(x92531),f315(f131(f894(x92531),f894(x92531),f123(x92531),f102(x92531)),x92532)))
% 201.34/201.10 [9316]~E(f315(f315(f90(f901(x93161,a891)),f315(f161(x93161),f708(x93162,x93161))),f315(f161(x93161),f707(x93162,x93161))),f177(f901(x93161,a891)))+~P107(f315(f126(f894(x93161)),x93162))+P107(f315(f126(x93161),f315(f131(f894(x93161),f894(x93161),f123(x93161),f102(x93161)),x93162)))+P107(f315(f315(f317(f894(x93161)),f709(x93162,x93161)),f315(f161(f894(x93161)),x93162)))
% 201.34/201.10 [9603]E(x96031,f2(a1))+E(x96032,f2(a1))+E(f315(f315(f79(a1,f900(a1,a1)),f315(f315(a206,x96032),x96031)),f315(f315(f20(a1,a1,f900(a1,a1)),f315(f315(f10(a1,f901(a1,f900(a1,a1)),a1),f240(a1,a1)),f315(f29(a1),x96032))),f315(f29(a1),x96031))),f204(x96032,x96031))+P107(f315(f315(f224(a1),x96031),f2(a1)))
% 201.34/201.10 [8339]~P97(x83392)+~P120(x83392)+~P107(f315(f315(f223(x83392),f315(f92(x83392),x83391)),f71(x83392)))+P107(f315(f315(f223(a1),x83391),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))
% 201.34/201.10 [8340]~P97(x83402)+~P120(x83402)+~P107(f315(f315(f224(x83402),f315(f92(x83402),x83401)),f71(x83402)))+P107(f315(f315(f224(a1),x83401),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))
% 201.34/201.10 [8610]~P120(x86101)+~P97(x86101)+P107(f315(f315(f223(x86101),f315(f92(x86101),x86102)),f71(x86101)))+~P107(f315(f315(f223(a1),x86102),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))
% 201.34/201.10 [8611]~P120(x86111)+~P97(x86111)+P107(f315(f315(f224(x86111),f315(f92(x86111),x86112)),f71(x86111)))+~P107(f315(f315(f224(a1),x86112),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))
% 201.34/201.10 [8823]~P97(x88232)+~P120(x88232)+~P107(f315(f315(f223(x88232),f71(x88232)),f315(f92(x88232),x88231)))+P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),x88231))
% 201.34/201.10 [8824]~P97(x88242)+~P120(x88242)+~P107(f315(f315(f224(x88242),f71(x88242)),f315(f92(x88242),x88241)))+P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),x88241))
% 201.34/201.10 [9198]~P120(x91981)+~P97(x91981)+P107(f315(f315(f223(x91981),f71(x91981)),f315(f92(x91981),x91982)))+~P107(f315(f315(f223(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),x91982))
% 201.34/201.10 [9199]~P120(x91991)+~P97(x91991)+P107(f315(f315(f224(x91991),f71(x91991)),f315(f92(x91991),x91992)))+~P107(f315(f315(f224(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),x91992))
% 201.34/201.10 [9732]~P145(x97322)+E(x97321,f71(x97322))+E(x97321,f315(f72(x97322),f71(x97322)))+~E(f315(f315(f232(x97322),x97321),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f71(x97322))
% 201.34/201.10 [9999]~P67(x99991)+~P97(x99991)+~P107(f315(f315(f224(x99991),f2(x99991)),x99992))+P107(f315(f315(f224(x99991),f2(x99991)),f315(f315(f279(x99991),x99992),f315(f92(x99991),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.34/201.10 [10051]~P67(x100511)+~P97(x100511)+P107(f315(f315(f224(x100511),f2(x100511)),x100512))+~P107(f315(f315(f224(x100511),f2(x100511)),f315(f315(f279(x100511),x100512),f315(f92(x100511),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.34/201.10 [10344]~P144(x103442)+E(x103441,f2(a1))+P107(f315(f315(f224(a1),x103441),f2(a1)))+E(f315(f315(f245(a1,a1,x103442),f315(f315(f9(a1,f901(a1,f901(x103442,x103442)),f901(a1,x103442)),f315(f315(f10(f901(f901(x103442,x103442),x103442),f901(f901(a1,f901(x103442,x103442)),f901(a1,x103442)),a1),f10(f901(x103442,x103442),x103442,a1)),f315(f315(f10(x103442,f901(f901(x103442,x103442),x103442),a1),f79(x103442,x103442)),f91(x103442)))),f315(f315(f9(a1,f901(x103442,x103442),f901(x103442,x103442)),f315(f315(f10(f901(x103442,f901(x103442,x103442)),f901(f901(x103442,x103442),f901(x103442,x103442)),a1),f20(x103442,x103442,x103442)),f315(f315(f9(a1,f901(x103442,x103442),f901(x103442,f901(x103442,x103442))),f315(f315(f10(f901(x103442,f901(x103442,x103442)),f901(f901(x103442,x103442),f901(x103442,f901(x103442,x103442))),a1),f10(x103442,f901(x103442,x103442),x103442)),f315(f315(f10(a891,f901(x103442,f901(x103442,x103442)),a1),f85(x103442)),f315(f315(f9(a1,a1,a891),a312),f2(a1))))),f315(f315(f20(x103442,x103442,x103442),f73(x103442)),f7(x103442))))),f315(f315(f9(x103442,x103442,x103442),f315(f315(f10(x103442,f901(x103442,x103442),x103442),f73(x103442)),f315(f315(f20(x103442,x103442,x103442),f73(x103442)),f7(x103442)))),f71(x103442))))),f39(x103441,f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f91(x103442),x103441))
% 201.34/201.10 [5386]~P40(x53861,x53863)+~P53(x53861,x53863)+~P54(x53861,x53862,x53863)+P8(x53861,x53862,x53863)
% 201.34/201.10 [4921]~P95(x49213)+~P97(x49213)+E(x49211,x49212)+~E(f315(f92(x49213),x49211),f315(f92(x49213),x49212))
% 201.34/201.10 [5396]~P51(x53961,x53962)+~P52(x53961,x53962)+P15(x53961,x53962)+~P107(f315(f315(x53962,x53963),x53963))
% 201.34/201.10 [5905]P15(x59052,x59051)+E(f315(x59051,f782(x59051)),f315(x59051,f783(x59051)))+P107(f315(f315(x59051,f782(x59051)),f783(x59051)))+~P107(f315(f315(x59051,x59053),x59053))
% 201.34/201.10 [6111]~P107(f315(x61111,x61112))+~P107(f315(x61111,x61113))+~P107(f315(f315(f223(a893),x61113),f862(x61112,x61111)))+P107(f315(x61111,f2(a893)))
% 201.34/201.10 [6179]P15(x61791,x61792)+P107(f315(f315(x61792,f782(x61792)),f782(x61792)))+P107(f315(f315(x61792,f782(x61792)),f783(x61792)))+~P107(f315(f315(x61792,x61793),x61793))
% 201.34/201.10 [6180]P15(x61801,x61802)+P107(f315(f315(x61802,f782(x61802)),f783(x61802)))+P107(f315(f315(x61802,f783(x61802)),f783(x61802)))+~P107(f315(f315(x61802,x61803),x61803))
% 201.34/201.10 [6543]P150(x65432,x65433,x65431)+E(x65431,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f834(x65431,x65433,x65432)))+P107(f315(f315(f224(a1),x65431),f2(a1)))
% 201.34/201.10 [6544]P149(x65442,x65443,x65441)+E(x65441,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f843(x65441,x65443,x65442)))+P107(f315(f315(f224(a1),x65441),f2(a1)))
% 201.34/201.10 [6672]P149(x66721,x66722,x66723)+~P107(f315(x66721,x66722))+P107(f315(f315(f223(a1),f2(a1)),f843(x66723,x66722,x66721)))+P107(f315(f315(f224(a1),x66723),f2(a1)))
% 201.34/201.10 [6698]P150(x66981,x66982,x66983)+P107(f315(f315(f223(a1),f2(a1)),f834(x66983,x66982,x66981)))+~P107(f315(x66981,f2(a1)))+P107(f315(f315(f224(a1),x66983),f2(a1)))
% 201.34/201.10 [6730]P150(x67302,x67303,x67301)+E(x67301,f2(a1))+~P107(f315(x67302,f835(x67301,x67303,x67302)))+P107(f315(f315(f224(a1),x67301),f2(a1)))
% 201.34/201.10 [6731]P149(x67312,x67313,x67311)+E(x67311,f2(a1))+~P107(f315(x67312,f843(x67311,x67313,x67312)))+P107(f315(f315(f224(a1),x67311),f2(a1)))
% 201.34/201.10 [6833]~P110(x68331)+~P5(x68331)+~P107(f315(f315(f224(x68331),x68332),f30(x68331,x68333)))+P107(f315(f315(f224(x68331),x68332),f674(x68333,x68332,x68331)))
% 201.34/201.10 [6843]P149(x68431,x68432,x68433)+~P107(f315(x68431,x68432))+~P107(f315(x68431,f843(x68433,x68432,x68431)))+P107(f315(f315(f224(a1),x68433),f2(a1)))
% 201.34/201.10 [6875]P150(x68751,x68752,x68753)+~P107(f315(x68751,f835(x68753,x68752,x68751)))+~P107(f315(x68751,f2(a1)))+P107(f315(f315(f224(a1),x68753),f2(a1)))
% 201.34/201.10 [7128]P150(x71282,x71283,x71281)+E(x71281,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f834(x71281,x71283,x71282)))+P107(f315(f315(f224(a1),x71281),f833(x71281,x71283,x71282)))
% 201.34/201.10 [7129]P149(x71292,x71293,x71291)+E(x71291,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f843(x71291,x71293,x71292)))+P107(f315(f315(f224(a1),x71291),f842(x71291,x71293,x71292)))
% 201.34/201.10 [7249]P149(x72491,x72492,x72493)+~P107(f315(x72491,x72492))+P107(f315(f315(f223(a1),f2(a1)),f843(x72493,x72492,x72491)))+P107(f315(f315(f224(a1),x72493),f842(x72493,x72492,x72491)))
% 201.34/201.10 [7270]P150(x72701,x72702,x72703)+P107(f315(f315(f223(a1),f2(a1)),f834(x72703,x72702,x72701)))+P107(f315(f315(f224(a1),x72703),f833(x72703,x72702,x72701)))+~P107(f315(x72701,f2(a1)))
% 201.34/201.10 [7303]P150(x73032,x73033,x73031)+E(x73031,f2(a1))+~P107(f315(x73032,f835(x73031,x73033,x73032)))+P107(f315(f315(f224(a1),x73031),f833(x73031,x73033,x73032)))
% 201.34/201.10 [7304]P149(x73042,x73043,x73041)+E(x73041,f2(a1))+~P107(f315(x73042,f843(x73041,x73043,x73042)))+P107(f315(f315(f224(a1),x73041),f842(x73041,x73043,x73042)))
% 201.34/201.10 [7348]P150(x73482,x73483,x73481)+E(x73481,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f834(x73481,x73483,x73482)))+~P107(f315(x73482,f839(x73481,x73483,x73482)))
% 201.34/201.10 [7349]P149(x73492,x73493,x73491)+E(x73491,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f843(x73491,x73493,x73492)))+~P107(f315(x73492,f842(x73491,x73493,x73492)))
% 201.34/201.10 [7446]P149(x74461,x74462,x74463)+~P107(f315(x74461,x74462))+~P107(f315(x74461,f843(x74463,x74462,x74461)))+P107(f315(f315(f224(a1),x74463),f842(x74463,x74462,x74461)))
% 201.34/201.10 [7461]P150(x74611,x74612,x74613)+~P107(f315(x74611,f835(x74613,x74612,x74611)))+P107(f315(f315(f224(a1),x74613),f833(x74613,x74612,x74611)))+~P107(f315(x74611,f2(a1)))
% 201.34/201.10 [7464]P149(x74641,x74642,x74643)+~P107(f315(x74641,x74642))+P107(f315(f315(f223(a1),f2(a1)),f843(x74643,x74642,x74641)))+~P107(f315(x74641,f842(x74643,x74642,x74641)))
% 201.34/201.10 [7481]P150(x74811,x74812,x74813)+P107(f315(f315(f223(a1),f2(a1)),f834(x74813,x74812,x74811)))+~P107(f315(x74811,f839(x74813,x74812,x74811)))+~P107(f315(x74811,f2(a1)))
% 201.34/201.10 [7504]P150(x75042,x75043,x75041)+E(x75041,f2(a1))+~P107(f315(x75042,f835(x75041,x75043,x75042)))+~P107(f315(x75042,f839(x75041,x75043,x75042)))
% 201.34/201.10 [7505]P149(x75052,x75053,x75051)+E(x75051,f2(a1))+~P107(f315(x75052,f843(x75051,x75053,x75052)))+~P107(f315(x75052,f842(x75051,x75053,x75052)))
% 201.34/201.10 [7590]P149(x75901,x75902,x75903)+~P107(f315(x75901,x75902))+~P107(f315(x75901,f843(x75903,x75902,x75901)))+~P107(f315(x75901,f842(x75903,x75902,x75901)))
% 201.34/201.10 [7608]P150(x76081,x76082,x76083)+~P107(f315(x76081,f835(x76083,x76082,x76081)))+~P107(f315(x76081,f839(x76083,x76082,x76081)))+~P107(f315(x76081,f2(a1)))
% 201.34/201.10 [7653]P150(x76532,x76533,x76531)+E(x76531,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f834(x76531,x76533,x76532)))+P107(f315(f315(f223(a1),f833(x76531,x76533,x76532)),f2(a1)))
% 201.34/201.10 [7654]P149(x76542,x76543,x76541)+E(x76541,f2(a1))+P107(f315(f315(f223(a1),f2(a1)),f843(x76541,x76543,x76542)))+P107(f315(f315(f223(a1),f842(x76541,x76543,x76542)),f2(a1)))
% 201.34/201.10 [7655]~P91(x76551)+~P107(f315(f315(f223(x76551),x76553),f2(x76551)))+~P107(f315(f315(f223(x76551),x76552),f2(x76551)))+P107(f315(f315(f223(x76551),f315(f315(f73(x76551),x76552),x76553)),f2(x76551)))
% 201.34/201.10 [7656]~P144(x76561)+~P107(f315(f315(f317(x76561),x76563),f98(x76561)))+~P107(f315(f315(f317(x76561),x76562),f98(x76561)))+P107(f315(f315(f317(x76561),f315(f315(f3(x76561),x76562),x76563)),f98(x76561)))
% 201.34/201.10 [7657]~P144(x76571)+~P107(f315(f315(f317(x76571),x76573),f98(x76571)))+~P107(f315(f315(f317(x76571),x76572),f98(x76571)))+P107(f315(f315(f317(x76571),f315(f315(f74(x76571),x76572),x76573)),f98(x76571)))
% 201.34/201.10 [7658]~P147(x76581)+~P107(f315(f315(f317(x76581),x76583),f175(x76581)))+~P107(f315(f315(f317(x76581),x76582),f175(x76581)))+P107(f315(f315(f317(x76581),f315(f315(f74(x76581),x76582),x76583)),f175(x76581)))
% 201.34/201.10 [7659]~P144(x76591)+~P107(f315(f315(f317(x76591),x76593),f98(x76591)))+~P107(f315(f315(f317(x76591),x76592),f98(x76591)))+P107(f315(f315(f317(x76591),f315(f315(f73(x76591),x76592),x76593)),f98(x76591)))
% 201.34/201.10 [7660]~P147(x76601)+~P107(f315(f315(f317(x76601),x76603),f175(x76601)))+~P107(f315(f315(f317(x76601),x76602),f175(x76601)))+P107(f315(f315(f317(x76601),f315(f315(f73(x76601),x76602),x76603)),f175(x76601)))
% 201.34/201.10 [7661]~P91(x76611)+~P107(f315(f315(f223(x76611),x76613),f2(x76611)))+~P107(f315(f315(f224(x76611),x76612),f2(x76611)))+P107(f315(f315(f224(x76611),f315(f315(f73(x76611),x76612),x76613)),f2(x76611)))
% 201.34/201.10 [7662]~P91(x76621)+~P107(f315(f315(f223(x76621),x76622),f2(x76621)))+~P107(f315(f315(f224(x76621),x76623),f2(x76621)))+P107(f315(f315(f224(x76621),f315(f315(f73(x76621),x76622),x76623)),f2(x76621)))
% 201.34/201.10 [7663]~P91(x76631)+~P107(f315(f315(f224(x76631),x76633),f2(x76631)))+~P107(f315(f315(f224(x76631),x76632),f2(x76631)))+P107(f315(f315(f224(x76631),f315(f315(f73(x76631),x76632),x76633)),f2(x76631)))
% 201.34/201.10 [7690]P150(x76903,x76902,x76901)+E(x76901,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x76901),f835(x76901,x76902,x76903))),f834(x76901,x76902,x76903)),x76902)+P107(f315(f315(f224(a1),x76901),f2(a1)))
% 201.34/201.10 [7691]P149(x76913,x76912,x76911)+E(x76911,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x76911),f840(x76911,x76912,x76913))),f843(x76911,x76912,x76913)),x76912)+P107(f315(f315(f224(a1),x76911),f2(a1)))
% 201.34/201.10 [7774]P149(x77741,x77742,x77743)+~P107(f315(x77741,x77742))+P107(f315(f315(f223(a1),f2(a1)),f843(x77743,x77742,x77741)))+P107(f315(f315(f223(a1),f842(x77743,x77742,x77741)),f2(a1)))
% 201.34/201.10 [7805]P150(x78051,x78052,x78053)+P107(f315(f315(f223(a1),f2(a1)),f834(x78053,x78052,x78051)))+~P107(f315(x78051,f2(a1)))+P107(f315(f315(f223(a1),f833(x78053,x78052,x78051)),f2(a1)))
% 201.34/201.10 [7814]P149(x78143,x78142,x78141)+~P107(f315(x78143,x78142))+E(f315(f315(f73(a1),f315(f315(f74(a1),x78141),f840(x78141,x78142,x78143))),f843(x78141,x78142,x78143)),x78142)+P107(f315(f315(f224(a1),x78141),f2(a1)))
% 201.34/201.10 [7820]P150(x78202,x78203,x78201)+E(x78201,f2(a1))+~P107(f315(x78202,f835(x78201,x78203,x78202)))+P107(f315(f315(f223(a1),f833(x78201,x78203,x78202)),f2(a1)))
% 201.34/201.10 [7821]P149(x78212,x78213,x78211)+E(x78211,f2(a1))+~P107(f315(x78212,f843(x78211,x78213,x78212)))+P107(f315(f315(f223(a1),f842(x78211,x78213,x78212)),f2(a1)))
% 201.34/201.10 [7826]P150(x78263,x78262,x78261)+E(f315(f315(f73(a1),f315(f315(f74(a1),x78261),f835(x78261,x78262,x78263))),f834(x78261,x78262,x78263)),x78262)+~P107(f315(x78263,f2(a1)))+P107(f315(f315(f224(a1),x78261),f2(a1)))
% 201.34/201.10 [7882]P149(x78821,x78822,x78823)+~P107(f315(x78821,x78822))+~P107(f315(x78821,f843(x78823,x78822,x78821)))+P107(f315(f315(f223(a1),f842(x78823,x78822,x78821)),f2(a1)))
% 201.34/201.10 [7886]P150(x78861,x78862,x78863)+~P107(f315(x78861,f835(x78863,x78862,x78861)))+~P107(f315(x78861,f2(a1)))+P107(f315(f315(f223(a1),f833(x78863,x78862,x78861)),f2(a1)))
% 201.34/201.10 [7954]~P127(x79541)+~P107(f315(f315(f223(x79541),f315(f315(f74(x79541),x79543),x79542)),f2(x79541)))+P107(f315(f315(f223(x79541),x79542),f2(x79541)))+P107(f315(f315(f223(x79541),x79543),f2(x79541)))
% 201.34/201.10 [7955]~P67(x79551)+~P107(f315(f315(f223(x79551),f315(f315(f279(x79551),x79553),x79552)),f2(x79551)))+P107(f315(f315(f223(x79551),x79552),f2(x79551)))+P107(f315(f315(f223(x79551),x79553),f2(x79551)))
% 201.34/201.10 [7956]~P67(x79561)+~P107(f315(f315(f224(x79561),f315(f315(f279(x79561),x79563),x79562)),f2(x79561)))+P107(f315(f315(f224(x79561),x79562),f2(x79561)))+P107(f315(f315(f224(x79561),x79563),f2(x79561)))
% 201.34/201.10 [8069]P150(x80693,x80692,x80691)+E(x80691,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x80691),f835(x80691,x80692,x80693))),f834(x80691,x80692,x80693)),x80692)+P107(f315(f315(f224(a1),x80691),f833(x80691,x80692,x80693)))
% 201.34/201.10 [8070]P149(x80703,x80702,x80701)+E(x80701,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x80701),f840(x80701,x80702,x80703))),f843(x80701,x80702,x80703)),x80702)+P107(f315(f315(f224(a1),x80701),f842(x80701,x80702,x80703)))
% 201.34/201.10 [8082]P150(x80823,x80822,x80821)+E(x80821,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x80821),f839(x80821,x80822,x80823))),f833(x80821,x80822,x80823)),x80822)+P107(f315(f315(f223(a1),f2(a1)),f834(x80821,x80822,x80823)))
% 201.34/201.10 [8083]P149(x80833,x80832,x80831)+E(x80831,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x80831),f844(x80831,x80832,x80833))),f842(x80831,x80832,x80833)),x80832)+P107(f315(f315(f223(a1),f2(a1)),f843(x80831,x80832,x80833)))
% 201.34/201.10 [8125]P149(x81253,x81252,x81251)+~P107(f315(x81253,x81252))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81251),f840(x81251,x81252,x81253))),f843(x81251,x81252,x81253)),x81252)+P107(f315(f315(f224(a1),x81251),f842(x81251,x81252,x81253)))
% 201.34/201.10 [8134]P150(x81343,x81342,x81341)+E(f315(f315(f73(a1),f315(f315(f74(a1),x81341),f835(x81341,x81342,x81343))),f834(x81341,x81342,x81343)),x81342)+P107(f315(f315(f224(a1),x81341),f833(x81341,x81342,x81343)))+~P107(f315(x81343,f2(a1)))
% 201.34/201.10 [8140]P149(x81403,x81402,x81401)+~P107(f315(x81403,x81402))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81401),f844(x81401,x81402,x81403))),f842(x81401,x81402,x81403)),x81402)+P107(f315(f315(f223(a1),f2(a1)),f843(x81401,x81402,x81403)))
% 201.34/201.10 [8146]P150(x81463,x81462,x81461)+E(f315(f315(f73(a1),f315(f315(f74(a1),x81461),f839(x81461,x81462,x81463))),f833(x81461,x81462,x81463)),x81462)+P107(f315(f315(f223(a1),f2(a1)),f834(x81461,x81462,x81463)))+~P107(f315(x81463,f2(a1)))
% 201.34/201.10 [8157]P150(x81573,x81572,x81571)+E(x81571,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81571),f835(x81571,x81572,x81573))),f834(x81571,x81572,x81573)),x81572)+~P107(f315(x81573,f839(x81571,x81572,x81573)))
% 201.34/201.10 [8158]P149(x81583,x81582,x81581)+E(x81581,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81581),f840(x81581,x81582,x81583))),f843(x81581,x81582,x81583)),x81582)+~P107(f315(x81583,f842(x81581,x81582,x81583)))
% 201.34/201.10 [8159]P150(x81593,x81592,x81591)+E(x81591,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81591),f839(x81591,x81592,x81593))),f833(x81591,x81592,x81593)),x81592)+~P107(f315(x81593,f835(x81591,x81592,x81593)))
% 201.34/201.10 [8160]P149(x81603,x81602,x81601)+E(x81601,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x81601),f844(x81601,x81602,x81603))),f842(x81601,x81602,x81603)),x81602)+~P107(f315(x81603,f843(x81601,x81602,x81603)))
% 201.34/201.10 [8219]P149(x82193,x82192,x82191)+~P107(f315(x82193,x82192))+E(f315(f315(f73(a1),f315(f315(f74(a1),x82191),f840(x82191,x82192,x82193))),f843(x82191,x82192,x82193)),x82192)+~P107(f315(x82193,f842(x82191,x82192,x82193)))
% 201.34/201.10 [8220]P149(x82203,x82202,x82201)+~P107(f315(x82203,x82202))+E(f315(f315(f73(a1),f315(f315(f74(a1),x82201),f844(x82201,x82202,x82203))),f842(x82201,x82202,x82203)),x82202)+~P107(f315(x82203,f843(x82201,x82202,x82203)))
% 201.34/201.10 [8233]P150(x82333,x82332,x82331)+E(f315(f315(f73(a1),f315(f315(f74(a1),x82331),f835(x82331,x82332,x82333))),f834(x82331,x82332,x82333)),x82332)+~P107(f315(x82333,f839(x82331,x82332,x82333)))+~P107(f315(x82333,f2(a1)))
% 201.34/201.10 [8234]P150(x82343,x82342,x82341)+E(f315(f315(f73(a1),f315(f315(f74(a1),x82341),f839(x82341,x82342,x82343))),f833(x82341,x82342,x82343)),x82342)+~P107(f315(x82343,f835(x82341,x82342,x82343)))+~P107(f315(x82343,f2(a1)))
% 201.34/201.10 [8332]P150(x83323,x83322,x83321)+E(x83321,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83321),f835(x83321,x83322,x83323))),f834(x83321,x83322,x83323)),x83322)+P107(f315(f315(f223(a1),f833(x83321,x83322,x83323)),f2(a1)))
% 201.34/201.10 [8333]P149(x83333,x83332,x83331)+E(x83331,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83331),f840(x83331,x83332,x83333))),f843(x83331,x83332,x83333)),x83332)+P107(f315(f315(f223(a1),f842(x83331,x83332,x83333)),f2(a1)))
% 201.34/201.10 [8372]P149(x83723,x83722,x83721)+~P107(f315(x83723,x83722))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83721),f840(x83721,x83722,x83723))),f843(x83721,x83722,x83723)),x83722)+P107(f315(f315(f223(a1),f842(x83721,x83722,x83723)),f2(a1)))
% 201.34/201.10 [8377]P150(x83773,x83772,x83771)+E(f315(f315(f73(a1),f315(f315(f74(a1),x83771),f835(x83771,x83772,x83773))),f834(x83771,x83772,x83773)),x83772)+~P107(f315(x83773,f2(a1)))+P107(f315(f315(f223(a1),f833(x83771,x83772,x83773)),f2(a1)))
% 201.34/201.10 [8512]P150(x85123,x85122,x85121)+E(x85121,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x85121),f839(x85121,x85122,x85123))),f833(x85121,x85122,x85123)),x85122)+E(f315(f315(f73(a1),f315(f315(f74(a1),x85121),f835(x85121,x85122,x85123))),f834(x85121,x85122,x85123)),x85122)
% 201.34/201.10 [8513]P149(x85133,x85132,x85131)+E(x85131,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x85131),f844(x85131,x85132,x85133))),f842(x85131,x85132,x85133)),x85132)+E(f315(f315(f73(a1),f315(f315(f74(a1),x85131),f840(x85131,x85132,x85133))),f843(x85131,x85132,x85133)),x85132)
% 201.34/201.10 [8533]P149(x85333,x85332,x85331)+~P107(f315(x85333,x85332))+E(f315(f315(f73(a1),f315(f315(f74(a1),x85331),f844(x85331,x85332,x85333))),f842(x85331,x85332,x85333)),x85332)+E(f315(f315(f73(a1),f315(f315(f74(a1),x85331),f840(x85331,x85332,x85333))),f843(x85331,x85332,x85333)),x85332)
% 201.34/201.10 [8544]P150(x85443,x85442,x85441)+E(f315(f315(f73(a1),f315(f315(f74(a1),x85441),f839(x85441,x85442,x85443))),f833(x85441,x85442,x85443)),x85442)+E(f315(f315(f73(a1),f315(f315(f74(a1),x85441),f835(x85441,x85442,x85443))),f834(x85441,x85442,x85443)),x85442)+~P107(f315(x85443,f2(a1)))
% 201.34/201.10 [9206]~P127(x92061)+~E(x92063,f2(x92061))+~E(x92062,f2(x92061))+P107(f315(f315(f223(x92061),f315(f315(f73(x92061),f315(f315(f74(x92061),x92062),x92062)),f315(f315(f74(x92061),x92063),x92063))),f2(x92061)))
% 201.34/201.10 [10285]~P120(x102851)+~E(x102853,f2(x102851))+~E(x102852,f2(x102851))+P107(f315(f315(f223(x102851),f315(f315(f73(x102851),f315(f315(f232(x102851),x102852),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102851),x102853),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))),f2(x102851)))
% 201.34/201.10 [4869]~E(x48693,x48691)+~P124(x48692)+E(x48691,f2(x48692))+E(f315(f315(f279(x48692),x48693),x48691),f71(x48692))
% 201.34/201.10 [4922]~P81(x49221)+~E(x49223,f177(x49221))+~E(x49222,f177(x49221))+E(f315(f315(f99(x49221),x49222),x49223),f177(x49221))
% 201.34/201.10 [4923]~P102(x49231)+~E(x49233,f230(x49231))+~E(x49232,f230(x49231))+E(f315(f315(f90(x49231),x49232),x49233),f230(x49231))
% 201.34/201.10 [5020]~P124(x50203)+E(x50201,x50202)+E(x50202,f2(x50203))+~E(f315(f315(f279(x50203),x50201),x50202),f71(x50203))
% 201.34/201.10 [5038]~P136(x50382)+E(x50381,f2(x50382))+E(x50383,f2(x50382))+~E(f315(f315(f74(x50382),x50383),x50381),f2(x50382))
% 201.34/201.10 [5039]~P143(x50392)+E(x50391,f2(x50392))+E(x50393,f2(x50392))+~E(f315(f315(f74(x50392),x50393),x50391),f2(x50392))
% 201.34/201.10 [5415]~P122(x54153)+E(x54151,x54152)+E(x54151,f315(f72(x54153),x54152))+~E(f315(f315(f74(x54153),x54151),x54151),f315(f315(f74(x54153),x54152),x54152))
% 201.34/201.10 [5454]~P98(x54541)+E(f315(f72(x54541),x54542),x54543)+~E(f315(f315(f99(x54541),x54542),x54543),f230(x54541))+~E(f315(f315(f90(x54541),x54542),x54543),f177(x54541))
% 201.34/201.10 [5535]~P120(x55353)+E(x55351,x55352)+P107(f315(f315(f224(x55353),x55352),x55351))+P107(f315(f315(f224(x55353),x55351),x55352))
% 201.34/201.10 [5536]~P110(x55363)+E(x55361,x55362)+P107(f315(f315(f224(x55363),x55362),x55361))+P107(f315(f315(f224(x55363),x55361),x55362))
% 201.34/201.10 [5537]~E(x55372,x55373)+~P110(x55371)+P107(f315(f315(f224(x55371),x55372),x55373))+P107(f315(f315(f223(x55371),x55372),x55373))
% 201.34/201.10 [5800]~P111(x58003)+E(x58001,x58002)+~P107(f315(f315(f223(x58003),x58002),x58001))+P107(f315(f315(f224(x58003),x58002),x58001))
% 201.34/201.10 [5802]~P110(x58023)+E(x58021,x58022)+~P107(f315(f315(f223(x58023),x58021),x58022))+P107(f315(f315(f224(x58023),x58021),x58022))
% 201.34/201.10 [5808]~P111(x58083)+E(x58081,x58082)+~P107(f315(f315(f223(x58083),x58081),x58082))+P107(f315(f315(f224(x58083),x58081),x58082))
% 201.34/201.10 [5922]P149(x59221,x59222,x59223)+~P107(f315(x59221,x59222))+P107(f315(f315(f224(a1),x59223),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x59223))
% 201.34/201.10 [5976]P150(x59761,x59762,x59763)+~P107(f315(x59761,f2(a1)))+P107(f315(f315(f224(a1),x59763),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x59763))
% 201.34/201.10 [5981]~P80(x59811)+E(f315(f315(f99(x59811),x59812),f13(x59811,x59813)),x59812)+~P107(f315(f54(x59811),x59813))+~P107(f315(f315(f317(x59811),x59812),x59813))
% 201.34/201.10 [5982]~P80(x59821)+E(f315(f315(f90(x59821),x59822),f12(x59821,x59823)),x59822)+~P107(f315(f54(x59821),x59823))+~P107(f315(f315(f317(x59821),x59822),x59823))
% 201.34/201.10 [6020]~P80(x60201)+E(f315(f315(f99(x60201),x60202),f12(x60201,x60203)),f12(x60201,x60203))+~P107(f315(f54(x60201),x60203))+~P107(f315(f315(f317(x60201),x60202),x60203))
% 201.34/201.10 [6021]~P80(x60211)+E(f315(f315(f90(x60211),x60212),f13(x60211,x60213)),f13(x60211,x60213))+~P107(f315(f54(x60211),x60213))+~P107(f315(f315(f317(x60211),x60212),x60213))
% 201.34/201.10 [6022]~P110(x60221)+E(f315(f315(f221(x60221),x60222),f16(x60221,x60223)),f16(x60221,x60223))+~P107(f315(f54(x60221),x60223))+~P107(f315(f315(f317(x60221),x60222),x60223))
% 201.34/201.10 [6023]~P110(x60231)+E(f315(f315(f222(x60231),x60232),f17(x60231,x60233)),f17(x60231,x60233))+~P107(f315(f54(x60231),x60233))+~P107(f315(f315(f317(x60231),x60232),x60233))
% 201.34/201.10 [6062]E(x60621,x60622)+~P111(x60623)+~P107(f315(f315(f223(x60623),x60622),x60621))+~P107(f315(f315(f223(x60623),x60621),x60622))
% 201.34/201.10 [6208]~P108(x62081)+P107(f315(f315(f224(x62081),x62083),x62082))+~P107(f315(f315(f223(x62081),x62083),x62082))+P107(f315(f315(f223(x62081),x62082),x62083))
% 201.34/201.10 [6236]~P110(x62361)+~P107(f315(f54(x62361),x62363))+P107(f315(f315(f223(x62361),x62362),f17(x62361,x62363)))+~P107(f315(f315(f317(x62361),x62362),x62363))
% 201.34/201.10 [6284]~P110(x62841)+E(f315(f315(f221(x62841),x62842),f15(x62841,f222(x62841),x62843)),x62842)+~P107(f315(f54(x62841),x62843))+~P107(f315(f315(f317(x62841),x62842),x62843))
% 201.34/201.10 [6285]~P110(x62851)+E(f315(f315(f222(x62851),x62852),f14(x62851,f221(x62851),x62853)),x62852)+~P107(f315(f54(x62851),x62853))+~P107(f315(f315(f317(x62851),x62852),x62853))
% 201.34/201.10 [6430]E(x64301,x64302)+~E(f315(f315(f3(a893),x64301),x64303),f315(f315(f3(a893),x64302),x64303))+~P107(f315(f315(f223(a893),x64303),x64301))+~P107(f315(f315(f223(a893),x64303),x64302))
% 201.34/201.10 [6457]~P110(x64571)+~P107(f315(f54(x64571),x64572))+~P107(f315(f315(f317(x64571),x64573),x64572))+P107(f315(f315(f223(x64571),f16(x64571,x64572)),x64573))
% 201.34/201.10 [6522]P150(x65222,x65223,x65221)+E(x65221,f2(a1))+P107(f315(f315(f224(a1),x65221),f833(x65221,x65223,x65222)))+P107(f315(f315(f224(a1),f2(a1)),x65221))
% 201.34/201.10 [6523]P149(x65232,x65233,x65231)+E(x65231,f2(a1))+P107(f315(f315(f224(a1),x65231),f842(x65231,x65233,x65232)))+P107(f315(f315(f224(a1),f2(a1)),x65231))
% 201.34/201.10 [6524]~P110(x65241)+E(f315(f315(f221(x65241),x65242),f14(x65241,f221(x65241),x65243)),f14(x65241,f221(x65241),x65243))+~P107(f315(f54(x65241),x65243))+~P107(f315(f315(f317(x65241),x65242),x65243))
% 201.34/201.10 [6525]~P110(x65251)+E(f315(f315(f222(x65251),x65252),f15(x65251,f222(x65251),x65253)),f15(x65251,f222(x65251),x65253))+~P107(f315(f54(x65251),x65253))+~P107(f315(f315(f317(x65251),x65252),x65253))
% 201.34/201.10 [6530]~P107(f315(x65301,x65302))+P107(f315(x65301,f358(x65302,x65301,x65303)))+P107(f315(x65301,f2(a893)))+~P107(f315(f315(f224(a893),x65302),x65303))
% 201.34/201.10 [6590]~P107(f315(x65901,x65902))+~P107(f315(f54(x65903),x65902))+P107(f315(x65901,f406(x65901,x65902,x65903)))+P107(f315(x65901,f177(f901(x65903,a891))))
% 201.34/201.10 [6603]~P120(x66031)+~P97(x66031)+P107(f315(f315(f223(x66031),f315(f92(x66031),x66032)),f315(f92(x66031),x66033)))+~P107(f315(f315(f223(a1),x66032),x66033))
% 201.34/201.10 [6604]~P120(x66041)+~P97(x66041)+P107(f315(f315(f224(x66041),f315(f92(x66041),x66042)),f315(f92(x66041),x66043)))+~P107(f315(f315(f224(a1),x66042),x66043))
% 201.34/201.10 [6607]~P107(f315(x66071,x66073))+~P107(f315(f54(x66072),x66073))+P107(f315(f54(x66072),f406(x66071,x66073,x66072)))+P107(f315(x66071,f177(f901(x66072,a891))))
% 201.34/201.10 [6641]P149(x66411,x66412,x66413)+~P107(f315(x66411,x66412))+P107(f315(f315(f224(a1),x66413),f842(x66413,x66412,x66411)))+P107(f315(f315(f224(a1),f2(a1)),x66413))
% 201.34/201.10 [6679]P150(x66791,x66792,x66793)+P107(f315(f315(f224(a1),x66793),f833(x66793,x66792,x66791)))+~P107(f315(x66791,f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x66793))
% 201.34/201.10 [6709]~P109(x67091)+~P96(x67091)+E(f315(f315(f221(x67091),f315(f92(x67091),x67092)),f315(f92(x67091),x67093)),f315(f92(x67091),x67093))+P107(f315(f315(f223(x67091),f315(f92(x67091),x67092)),f315(f92(x67091),x67093)))
% 201.34/201.10 [6710]~P109(x67101)+~P96(x67101)+E(f315(f315(f222(x67101),f315(f92(x67101),x67102)),f315(f92(x67101),x67103)),f315(f92(x67101),x67102))+P107(f315(f315(f223(x67101),f315(f92(x67101),x67102)),f315(f92(x67101),x67103)))
% 201.34/201.10 [6770]P150(x67702,x67703,x67701)+E(x67701,f2(a1))+~P107(f315(x67702,f839(x67701,x67703,x67702)))+P107(f315(f315(f224(a1),f2(a1)),x67701))
% 201.34/201.10 [6771]P149(x67712,x67713,x67711)+E(x67711,f2(a1))+~P107(f315(x67712,f842(x67711,x67713,x67712)))+P107(f315(f315(f224(a1),f2(a1)),x67711))
% 201.34/201.10 [6775]P107(f315(x67751,x67752))+~P107(f315(f54(x67753),x67752))+P107(f315(x67751,f530(x67751,x67752,x67753)))+~P107(f315(x67751,f177(f901(x67753,a891))))
% 201.34/201.10 [6796]P107(f315(x67961,x67962))+P107(f315(f54(x67963),f530(x67961,x67962,x67963)))+~P107(f315(f54(x67963),x67962))+~P107(f315(x67961,f177(f901(x67963,a891))))
% 201.34/201.10 [6864]P149(x68641,x68642,x68643)+~P107(f315(x68641,x68642))+~P107(f315(x68641,f842(x68643,x68642,x68641)))+P107(f315(f315(f224(a1),f2(a1)),x68643))
% 201.34/201.10 [6894]P150(x68941,x68942,x68943)+~P107(f315(x68941,f839(x68943,x68942,x68941)))+~P107(f315(x68941,f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x68943))
% 201.34/201.10 [7002]~P97(x70023)+~P120(x70023)+~P107(f315(f315(f223(x70023),f315(f92(x70023),x70021)),f315(f92(x70023),x70022)))+P107(f315(f315(f223(a1),x70021),x70022))
% 201.34/201.10 [7003]~P97(x70033)+~P120(x70033)+~P107(f315(f315(f224(x70033),f315(f92(x70033),x70031)),f315(f92(x70033),x70032)))+P107(f315(f315(f224(a1),x70031),x70032))
% 201.34/201.10 [7031]~P110(x70311)+~P13(x70311,x70313)+P13(x70311,f315(f315(f140(x70311),x70312),x70313))+~P107(f315(f315(f223(x70311),x70312),f688(x70313,x70312,x70311)))
% 201.34/201.10 [7032]~P110(x70321)+~P13(x70321,x70323)+P13(x70321,f315(f315(f140(x70321),x70322),x70323))+~P107(f315(f315(f223(x70321),x70322),f691(x70323,x70322,x70321)))
% 201.34/201.10 [7033]~P110(x70331)+~P13(x70331,x70333)+P13(x70331,f315(f315(f140(x70331),x70332),x70333))+~P107(f315(f315(f223(x70331),x70332),f729(x70332,x70333,x70331)))
% 201.34/201.10 [7121]P150(x71212,x71213,x71211)+E(x71211,f2(a1))+P107(f315(f315(f224(a1),x71211),f2(a1)))+P107(f315(f315(f224(a1),f834(x71211,x71213,x71212)),x71211))
% 201.34/201.10 [7122]P149(x71222,x71223,x71221)+E(x71221,f2(a1))+P107(f315(f315(f224(a1),x71221),f2(a1)))+P107(f315(f315(f224(a1),f843(x71221,x71223,x71222)),x71221))
% 201.34/201.10 [7159]P150(x71592,x71593,x71591)+E(x71591,f2(a1))+P107(f315(f315(f223(a1),f833(x71591,x71593,x71592)),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x71591))
% 201.34/201.10 [7160]P149(x71602,x71603,x71601)+E(x71601,f2(a1))+P107(f315(f315(f223(a1),f842(x71601,x71603,x71602)),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x71601))
% 201.34/201.10 [7185]~P110(x71851)+~P13(x71851,x71853)+E(f315(f315(f137(x71851,x71851,f7(x71851)),x71852),f159(x71851,x71852,x71853)),x71853)+~P107(f315(f315(f317(x71851),x71852),f315(f161(x71851),x71853)))
% 201.34/201.10 [7232]P149(x72321,x72322,x72323)+~P107(f315(x72321,x72322))+P107(f315(f315(f224(a1),x72323),f2(a1)))+P107(f315(f315(f224(a1),f843(x72323,x72322,x72321)),x72323))
% 201.34/201.10 [7238]~P109(x72381)+~P96(x72381)+E(f315(f315(f221(x72381),f315(f92(x72381),x72382)),f315(f92(x72381),x72383)),f315(f92(x72381),x72382))+~P107(f315(f315(f223(x72381),f315(f92(x72381),x72382)),f315(f92(x72381),x72383)))
% 201.34/201.10 [7239]~P109(x72391)+~P96(x72391)+E(f315(f315(f222(x72391),f315(f92(x72391),x72392)),f315(f92(x72391),x72393)),f315(f92(x72391),x72393))+~P107(f315(f315(f223(x72391),f315(f92(x72391),x72392)),f315(f92(x72391),x72393)))
% 201.34/201.10 [7253]P150(x72531,x72532,x72533)+~P107(f315(x72531,f2(a1)))+P107(f315(f315(f224(a1),x72533),f2(a1)))+P107(f315(f315(f224(a1),f834(x72533,x72532,x72531)),x72533))
% 201.34/201.10 [7263]P149(x72631,x72632,x72633)+~P107(f315(x72631,x72632))+P107(f315(f315(f223(a1),f842(x72633,x72632,x72631)),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x72633))
% 201.34/201.10 [7287]P150(x72871,x72872,x72873)+~P107(f315(x72871,f2(a1)))+P107(f315(f315(f223(a1),f833(x72873,x72872,x72871)),f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x72873))
% 201.34/201.10 [7315]~P107(f315(x73151,x73152))+P107(f315(x73151,f2(a893)))+~P107(f315(f315(f224(a893),x73152),x73153))+P107(f315(f315(f224(a893),f358(x73152,x73151,x73153)),x73153))
% 201.34/201.10 [7332]~P110(x73321)+~P13(x73321,x73323)+P13(x73321,f315(f315(f140(x73321),x73322),x73323))+P107(f315(f315(f317(x73321),f688(x73323,x73322,x73321)),f315(f161(x73321),x73323)))
% 201.34/201.10 [7333]~P110(x73331)+~P13(x73331,x73333)+P13(x73331,f315(f315(f140(x73331),x73332),x73333))+P107(f315(f315(f317(x73331),f691(x73333,x73332,x73331)),f315(f161(x73331),x73333)))
% 201.34/201.10 [7334]~P110(x73341)+~P13(x73341,x73343)+P13(x73341,f315(f315(f140(x73341),x73342),x73343))+P107(f315(f315(f317(x73341),f729(x73342,x73343,x73341)),f315(f161(x73341),x73343)))
% 201.34/201.10 [7450]~P110(x74501)+~P5(x74501)+~P107(f315(f315(f224(x74501),x74503),f30(x74501,x74502)))+P107(f315(f315(f317(x74501),f674(x74502,x74503,x74501)),x74502))
% 201.34/201.10 [7606]~P110(x76061)+~P5(x76061)+~P107(f315(f315(f224(x76061),f31(x76061,x76063)),x76062))+P107(f315(f315(f317(x76061),f365(x76062,x76063,x76061)),x76063))
% 201.34/201.10 [7607]~P110(x76071)+~P5(x76071)+~P107(f315(f315(f224(x76071),f31(x76071,x76073)),x76072))+P107(f315(f315(f224(x76071),f365(x76072,x76073,x76071)),x76072))
% 201.34/201.10 [7618]P150(x76182,x76183,x76181)+E(x76181,f2(a1))+P107(f315(f315(f224(a1),x76181),f833(x76181,x76183,x76182)))+P107(f315(f315(f224(a1),f834(x76181,x76183,x76182)),x76181))
% 201.34/201.10 [7619]P149(x76192,x76193,x76191)+E(x76191,f2(a1))+P107(f315(f315(f224(a1),x76191),f842(x76191,x76193,x76192)))+P107(f315(f315(f224(a1),f843(x76191,x76193,x76192)),x76191))
% 201.34/201.10 [7713]P150(x77133,x77132,x77131)+E(x77131,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x77131),f839(x77131,x77132,x77133))),f833(x77131,x77132,x77133)),x77132)+P107(f315(f315(f224(a1),f2(a1)),x77131))
% 201.34/201.10 [7714]P149(x77143,x77142,x77141)+E(x77141,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x77141),f844(x77141,x77142,x77143))),f842(x77141,x77142,x77143)),x77142)+P107(f315(f315(f224(a1),f2(a1)),x77141))
% 201.34/201.10 [7717]~P139(x77171)+~P107(f315(f315(f223(x77171),x77173),f2(x77171)))+P107(f315(f315(f223(x77171),f315(f315(f74(x77171),x77172),x77173)),f2(x77171)))+~P107(f315(f315(f223(x77171),f2(x77171)),x77172))
% 201.34/201.10 [7719]~P139(x77191)+~P107(f315(f315(f223(x77191),x77192),f2(x77191)))+P107(f315(f315(f223(x77191),f315(f315(f74(x77191),x77192),x77193)),f2(x77191)))+~P107(f315(f315(f223(x77191),f2(x77191)),x77193))
% 201.34/201.10 [7720]~P127(x77201)+~P107(f315(f315(f223(x77201),x77203),f2(x77201)))+P107(f315(f315(f223(x77201),f315(f315(f74(x77201),x77202),x77203)),f2(x77201)))+~P107(f315(f315(f223(x77201),f2(x77201)),x77202))
% 201.34/201.10 [7721]~P127(x77211)+~P107(f315(f315(f223(x77211),x77212),f2(x77211)))+P107(f315(f315(f223(x77211),f315(f315(f74(x77211),x77212),x77213)),f2(x77211)))+~P107(f315(f315(f223(x77211),f2(x77211)),x77213))
% 201.34/201.10 [7722]~P67(x77221)+~P107(f315(f315(f223(x77221),x77223),f2(x77221)))+P107(f315(f315(f223(x77221),f315(f315(f279(x77221),x77222),x77223)),f2(x77221)))+~P107(f315(f315(f223(x77221),f2(x77221)),x77222))
% 201.34/201.10 [7723]~P67(x77231)+~P107(f315(f315(f223(x77231),x77232),f2(x77231)))+P107(f315(f315(f223(x77231),f315(f315(f279(x77231),x77232),x77233)),f2(x77231)))+~P107(f315(f315(f223(x77231),f2(x77231)),x77233))
% 201.34/201.10 [7724]~P68(x77241)+~P107(f315(f315(f223(x77241),x77242),f2(x77241)))+P107(f315(f315(f223(x77241),f315(f315(f279(x77241),x77242),x77243)),f2(x77241)))+~P107(f315(f315(f224(x77241),f2(x77241)),x77243))
% 201.34/201.10 [7725]~P68(x77251)+~P107(f315(f315(f224(x77251),x77253),f2(x77251)))+P107(f315(f315(f223(x77251),f315(f315(f279(x77251),x77252),x77253)),f2(x77251)))+~P107(f315(f315(f223(x77251),f2(x77251)),x77252))
% 201.34/201.10 [7727]~P138(x77271)+~P107(f315(f315(f224(x77271),x77273),f2(x77271)))+P107(f315(f315(f224(x77271),f315(f315(f74(x77271),x77272),x77273)),f2(x77271)))+~P107(f315(f315(f224(x77271),f2(x77271)),x77272))
% 201.34/201.10 [7728]~P138(x77281)+~P107(f315(f315(f224(x77281),x77282),f2(x77281)))+P107(f315(f315(f224(x77281),f315(f315(f74(x77281),x77282),x77283)),f2(x77281)))+~P107(f315(f315(f224(x77281),f2(x77281)),x77283))
% 201.34/201.10 [7729]~P67(x77291)+~P107(f315(f315(f224(x77291),x77293),f2(x77291)))+P107(f315(f315(f224(x77291),f315(f315(f279(x77291),x77292),x77293)),f2(x77291)))+~P107(f315(f315(f224(x77291),f2(x77291)),x77292))
% 201.34/201.10 [7730]~P67(x77301)+~P107(f315(f315(f224(x77301),x77302),f2(x77301)))+P107(f315(f315(f224(x77301),f315(f315(f279(x77301),x77302),x77303)),f2(x77301)))+~P107(f315(f315(f224(x77301),f2(x77301)),x77303))
% 201.34/201.10 [7731]~P68(x77311)+~P107(f315(f315(f224(x77311),x77313),f2(x77311)))+P107(f315(f315(f224(x77311),f315(f315(f279(x77311),x77312),x77313)),f2(x77311)))+~P107(f315(f315(f224(x77311),f2(x77311)),x77312))
% 201.34/201.10 [7732]~P68(x77321)+~P107(f315(f315(f224(x77321),x77322),f2(x77321)))+P107(f315(f315(f224(x77321),f315(f315(f279(x77321),x77322),x77323)),f2(x77321)))+~P107(f315(f315(f224(x77321),f2(x77321)),x77323))
% 201.34/201.10 [7747]P149(x77471,x77472,x77473)+~P107(f315(x77471,x77472))+P107(f315(f315(f224(a1),x77473),f842(x77473,x77472,x77471)))+P107(f315(f315(f224(a1),f843(x77473,x77472,x77471)),x77473))
% 201.34/201.10 [7760]P150(x77601,x77602,x77603)+P107(f315(f315(f224(a1),x77603),f833(x77603,x77602,x77601)))+~P107(f315(x77601,f2(a1)))+P107(f315(f315(f224(a1),f834(x77603,x77602,x77601)),x77603))
% 201.34/201.10 [7812]P150(x78122,x78123,x78121)+E(x78121,f2(a1))+~P107(f315(x78122,f839(x78121,x78123,x78122)))+P107(f315(f315(f224(a1),f834(x78121,x78123,x78122)),x78121))
% 201.34/201.10 [7813]P149(x78132,x78133,x78131)+E(x78131,f2(a1))+~P107(f315(x78132,f842(x78131,x78133,x78132)))+P107(f315(f315(f224(a1),f843(x78131,x78133,x78132)),x78131))
% 201.34/201.10 [7823]P149(x78233,x78232,x78231)+~P107(f315(x78233,x78232))+E(f315(f315(f73(a1),f315(f315(f74(a1),x78231),f844(x78231,x78232,x78233))),f842(x78231,x78232,x78233)),x78232)+P107(f315(f315(f224(a1),f2(a1)),x78231))
% 201.34/201.10 [7838]P150(x78383,x78382,x78381)+E(f315(f315(f73(a1),f315(f315(f74(a1),x78381),f839(x78381,x78382,x78383))),f833(x78381,x78382,x78383)),x78382)+~P107(f315(x78383,f2(a1)))+P107(f315(f315(f224(a1),f2(a1)),x78381))
% 201.34/201.10 [7866]~P107(f315(x78661,x78663))+~P107(f315(f54(x78662),x78663))+P107(f315(f315(f317(x78662),f408(x78661,x78663,x78662)),f406(x78661,x78663,x78662)))+P107(f315(x78661,f177(f901(x78662,a891))))
% 201.34/201.10 [7877]P149(x78771,x78772,x78773)+~P107(f315(x78771,x78772))+~P107(f315(x78771,f842(x78773,x78772,x78771)))+P107(f315(f315(f224(a1),f843(x78773,x78772,x78771)),x78773))
% 201.34/201.10 [7883]P150(x78831,x78832,x78833)+~P107(f315(x78831,f839(x78833,x78832,x78831)))+~P107(f315(x78831,f2(a1)))+P107(f315(f315(f224(a1),f834(x78833,x78832,x78831)),x78833))
% 201.34/201.10 [7985]~P127(x79851)+~P107(f315(f315(f223(x79851),f315(f315(f74(x79851),x79853),x79852)),f2(x79851)))+P107(f315(f315(f223(x79851),x79852),f2(x79851)))+P107(f315(f315(f223(x79851),f2(x79851)),x79852))
% 201.34/201.10 [7986]~P127(x79861)+~P107(f315(f315(f223(x79861),f315(f315(f74(x79861),x79862),x79863)),f2(x79861)))+P107(f315(f315(f223(x79861),x79862),f2(x79861)))+P107(f315(f315(f223(x79861),f2(x79861)),x79862))
% 201.34/201.10 [7987]~P67(x79871)+~P107(f315(f315(f223(x79871),f315(f315(f279(x79871),x79873),x79872)),f2(x79871)))+P107(f315(f315(f223(x79871),x79872),f2(x79871)))+P107(f315(f315(f223(x79871),f2(x79871)),x79872))
% 201.34/201.10 [7988]~P67(x79881)+~P107(f315(f315(f223(x79881),f315(f315(f279(x79881),x79882),x79883)),f2(x79881)))+P107(f315(f315(f223(x79881),x79882),f2(x79881)))+P107(f315(f315(f223(x79881),f2(x79881)),x79882))
% 201.34/201.10 [7989]~P67(x79891)+~P107(f315(f315(f224(x79891),f315(f315(f279(x79891),x79893),x79892)),f2(x79891)))+P107(f315(f315(f224(x79891),x79892),f2(x79891)))+P107(f315(f315(f224(x79891),f2(x79891)),x79892))
% 201.34/201.10 [7990]~P67(x79901)+~P107(f315(f315(f224(x79901),f315(f315(f279(x79901),x79902),x79903)),f2(x79901)))+P107(f315(f315(f224(x79901),x79902),f2(x79901)))+P107(f315(f315(f224(x79901),f2(x79901)),x79902))
% 201.34/201.10 [8014]~P127(x80141)+~P107(f315(f315(f223(x80141),f315(f315(f74(x80141),x80142),x80143)),f2(x80141)))+P107(f315(f315(f223(x80141),f2(x80141)),x80142))+P107(f315(f315(f223(x80141),f2(x80141)),x80143))
% 201.34/201.10 [8015]~P67(x80151)+~P107(f315(f315(f223(x80151),f315(f315(f279(x80151),x80152),x80153)),f2(x80151)))+P107(f315(f315(f223(x80151),f2(x80151)),x80152))+P107(f315(f315(f223(x80151),f2(x80151)),x80153))
% 201.34/201.10 [8016]~P67(x80161)+~P107(f315(f315(f224(x80161),f315(f315(f279(x80161),x80162),x80163)),f2(x80161)))+P107(f315(f315(f224(x80161),f2(x80161)),x80162))+P107(f315(f315(f224(x80161),f2(x80161)),x80163))
% 201.34/201.10 [8038]P150(x80382,x80383,x80381)+E(x80381,f2(a1))+P107(f315(f315(f223(a1),f833(x80381,x80383,x80382)),f2(a1)))+P107(f315(f315(f224(a1),f834(x80381,x80383,x80382)),x80381))
% 201.34/201.10 [8039]P149(x80392,x80393,x80391)+E(x80391,f2(a1))+P107(f315(f315(f223(a1),f842(x80391,x80393,x80392)),f2(a1)))+P107(f315(f315(f224(a1),f843(x80391,x80393,x80392)),x80391))
% 201.34/201.10 [8046]~P112(x80461)+~P107(f315(f315(f224(x80461),x80462),f71(x80461)))+P107(f315(f315(f224(x80461),f315(f315(f232(x80461),x80462),f315(a101,x80463))),f71(x80461)))+~P107(f315(f315(f224(x80461),f2(x80461)),x80462))
% 201.34/201.10 [8099]~P110(x80991)+~E(x80993,f102(x80991))+~P13(x80991,f315(f157(x80991),x80993))+E(f315(f131(x80991,x80991,f315(f9(x80991,x80991,x80991),f222(x80991)),x80992),f315(f157(x80991),x80993)),x80992)
% 201.34/201.10 [8102]P149(x81021,x81022,x81023)+~P107(f315(x81021,x81022))+P107(f315(f315(f223(a1),f842(x81023,x81022,x81021)),f2(a1)))+P107(f315(f315(f224(a1),f843(x81023,x81022,x81021)),x81023))
% 201.34/201.10 [8109]P150(x81091,x81092,x81093)+~P107(f315(x81091,f2(a1)))+P107(f315(f315(f223(a1),f833(x81093,x81092,x81091)),f2(a1)))+P107(f315(f315(f224(a1),f834(x81093,x81092,x81091)),x81093))
% 201.34/201.10 [8327]P150(x83273,x83272,x83271)+E(x83271,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83271),f839(x83271,x83272,x83273))),f833(x83271,x83272,x83273)),x83272)+P107(f315(f315(f224(a1),f834(x83271,x83272,x83273)),x83271))
% 201.34/201.10 [8328]P149(x83283,x83282,x83281)+E(x83281,f2(a1))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83281),f844(x83281,x83282,x83283))),f842(x83281,x83282,x83283)),x83282)+P107(f315(f315(f224(a1),f843(x83281,x83282,x83283)),x83281))
% 201.34/201.10 [8363]P149(x83633,x83632,x83631)+~P107(f315(x83633,x83632))+E(f315(f315(f73(a1),f315(f315(f74(a1),x83631),f844(x83631,x83632,x83633))),f842(x83631,x83632,x83633)),x83632)+P107(f315(f315(f224(a1),f843(x83631,x83632,x83633)),x83631))
% 201.34/201.10 [8364]~P72(x83641)+~P76(x83641)+~P42(x83643)+E(f315(f315(f8(a893,x83641),f315(f315(f10(a1,x83641,a893),x83642),f89(a1))),f315(f298(a1,a893,a93),x83643)),f315(f315(f8(a1,x83641),x83642),x83643))
% 201.34/201.10 [8365]~P72(x83651)+~P76(x83651)+~P42(x83653)+E(f315(f315(f11(a893,x83651),f315(f315(f10(a1,x83651,a893),x83652),f89(a1))),f315(f298(a1,a893,a93),x83653)),f315(f315(f11(a1,x83651),x83652),x83653))
% 201.34/201.10 [8374]P150(x83743,x83742,x83741)+E(f315(f315(f73(a1),f315(f315(f74(a1),x83741),f839(x83741,x83742,x83743))),f833(x83741,x83742,x83743)),x83742)+~P107(f315(x83743,f2(a1)))+P107(f315(f315(f224(a1),f834(x83741,x83742,x83743)),x83741))
% 201.34/201.10 [8396]~E(x83962,f2(a893))+~E(f315(f239(a893,a893),x83963),f2(a893))+~E(x83961,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x83963)),x83962)),f315(f244(a893,a893),x83963)))+P107(f315(f41(x83961,x83962),x83963))
% 201.34/201.10 [8453]P107(f315(x84531,x84532))+~P107(f315(f315(f317(x84533),f516(x84531,x84532,x84533)),f530(x84531,x84532,x84533)))+~P107(f315(f54(x84533),x84532))+~P107(f315(x84531,f177(f901(x84533,a891))))
% 201.34/201.10 [9078]P107(f315(x90781,x90782))+~P107(f315(f54(x90783),x90782))+~P107(f315(x90781,f315(f315(f297(x90783),f516(x90781,x90782,x90783)),f530(x90781,x90782,x90783))))+~P107(f315(x90781,f177(f901(x90783,a891))))
% 201.34/201.10 [9309]P107(f315(f315(f223(a1),x93091),f2(a1)))+~P107(f315(f315(f224(a1),f315(f315(f73(a1),f315(f315(f74(a1),x93093),x93091)),x93092)),f2(a1)))+~P107(f315(f315(f223(a1),f2(a1)),x93092))+~P107(f315(f315(f224(a1),f2(a1)),x93093))
% 201.34/201.10 [5870]~P80(x58702)+E(x58701,f177(f901(x58702,a891)))+~P107(f315(f54(x58702),x58701))+E(f12(x58702,f315(f315(f297(x58702),x58703),x58701)),f315(f315(f99(x58702),x58703),f12(x58702,x58701)))
% 201.34/201.10 [5871]~P80(x58712)+E(x58711,f177(f901(x58712,a891)))+~P107(f315(f54(x58712),x58711))+E(f13(x58712,f315(f315(f297(x58712),x58713),x58711)),f315(f315(f90(x58712),x58713),f13(x58712,x58711)))
% 201.34/201.10 [5872]~P110(x58722)+E(x58721,f177(f901(x58722,a891)))+~P107(f315(f54(x58722),x58721))+E(f16(x58722,f315(f315(f297(x58722),x58723),x58721)),f315(f315(f221(x58722),x58723),f16(x58722,x58721)))
% 201.34/201.10 [5873]~P110(x58732)+E(x58731,f177(f901(x58732,a891)))+~P107(f315(f54(x58732),x58731))+E(f17(x58732,f315(f315(f297(x58732),x58733),x58731)),f315(f315(f222(x58732),x58733),f17(x58732,x58731)))
% 201.34/201.10 [6204]~P127(x62041)+~E(x62043,f2(x62041))+~E(x62042,f2(x62041))+E(f315(f315(f73(x62041),f315(f315(f74(x62041),x62042),x62042)),f315(f315(f74(x62041),x62043),x62043)),f2(x62041))
% 201.34/201.10 [6277]~P99(x62772)+E(x62771,f177(f901(x62772,a891)))+~P107(f315(f54(x62772),x62771))+E(f315(f56(x62772,f74(x62772)),f315(f315(f297(x62772),x62773),x62771)),f315(f315(f74(x62772),x62773),f315(f56(x62772,f74(x62772)),x62771)))
% 201.34/201.10 [6406]~P110(x64062)+E(x64061,f177(f901(x64062,a891)))+~P107(f315(f54(x64062),x64061))+E(f14(x64062,f221(x64062),f315(f315(f297(x64062),x64063),x64061)),f315(f315(f221(x64062),x64063),f14(x64062,f221(x64062),x64061)))
% 201.34/201.10 [6407]~P110(x64072)+E(x64071,f177(f901(x64072,a891)))+~P107(f315(f54(x64072),x64071))+E(f15(x64072,f222(x64072),f315(f315(f297(x64072),x64073),x64071)),f315(f315(f222(x64072),x64073),f15(x64072,f222(x64072),x64071)))
% 201.34/201.10 [6928]~P70(x69281)+~P107(f315(f54(x69281),x69283))+E(f315(f56(x69281,f74(x69281)),f315(f315(f297(x69281),x69282),x69283)),f315(f315(f57(x69281,x69281,f74(x69281)),x69282),x69283))+P107(f315(f315(f317(x69281),x69282),x69283))
% 201.34/201.10 [7009]~E(f315(f315(f73(a1),x70092),f315(f315(f74(a1),x70093),x70091)),x70093)+~P107(f315(f315(f224(a1),f2(a1)),x70093))+P107(f315(f315(f223(a1),f71(a1)),x70091))+~P107(f315(f315(f224(a1),x70092),x70093))
% 201.34/201.10 [7038]~E(f315(f315(f73(a1),x70382),f315(f315(f74(a1),x70383),x70381)),x70383)+P107(f315(f315(f223(a1),x70381),f71(a1)))+~P107(f315(f315(f223(a1),f2(a1)),x70382))+~P107(f315(f315(f224(a1),f2(a1)),x70383))
% 201.34/201.10 [7056]E(x70561,f2(a893))+~P107(f315(f41(x70563,x70561),x70562))+~P107(f315(f315(f224(a893),f2(a893)),x70561))+P107(f315(f315(f224(a893),f315(f244(a893,a893),x70562)),x70561))
% 201.34/201.10 [7088]~P142(x70881)+~P107(f315(f315(f223(x70881),x70882),f2(x70881)))+~P107(f315(f315(f223(x70881),x70883),f2(x70881)))+E(f315(f315(f74(x70881),f315(f69(x70881),x70882)),f315(f69(x70881),x70883)),f315(f69(x70881),f315(f315(f74(x70881),x70882),x70883)))
% 201.34/201.10 [7136]~P142(x71361)+~P107(f315(f315(f223(x71361),x71362),f2(x71361)))+E(f315(f315(f74(x71361),f315(f69(x71361),x71362)),f315(f69(x71361),x71363)),f315(f69(x71361),f315(f315(f74(x71361),x71362),x71363)))+~P107(f315(f315(f223(x71361),f2(x71361)),x71363))
% 201.34/201.10 [7137]~P142(x71371)+~P107(f315(f315(f223(x71371),x71373),f2(x71371)))+E(f315(f315(f74(x71371),f315(f69(x71371),x71372)),f315(f69(x71371),x71373)),f315(f69(x71371),f315(f315(f74(x71371),x71372),x71373)))+~P107(f315(f315(f223(x71371),f2(x71371)),x71372))
% 201.34/201.10 [7193]~P142(x71931)+E(f315(f315(f74(x71931),f315(f69(x71931),x71932)),f315(f69(x71931),x71933)),f315(f69(x71931),f315(f315(f74(x71931),x71932),x71933)))+~P107(f315(f315(f223(x71931),f2(x71931)),x71932))+~P107(f315(f315(f223(x71931),f2(x71931)),x71933))
% 201.34/201.10 [7210]~P132(x72101)+~P107(f315(f315(f223(x72101),x72103),f2(x72101)))+~P107(f315(f315(f223(x72101),x72102),f2(x72101)))+P107(f315(f315(f223(x72101),f2(x72101)),f315(f315(f74(x72101),x72102),x72103)))
% 201.34/201.10 [7211]~P127(x72111)+~P107(f315(f315(f223(x72111),x72113),f2(x72111)))+~P107(f315(f315(f223(x72111),x72112),f2(x72111)))+P107(f315(f315(f223(x72111),f2(x72111)),f315(f315(f74(x72111),x72112),x72113)))
% 201.34/201.10 [7212]~P67(x72121)+~P107(f315(f315(f223(x72121),x72123),f2(x72121)))+~P107(f315(f315(f223(x72121),x72122),f2(x72121)))+P107(f315(f315(f223(x72121),f2(x72121)),f315(f315(f279(x72121),x72122),x72123)))
% 201.34/201.10 [7213]~P68(x72131)+~P107(f315(f315(f224(x72131),x72133),f2(x72131)))+~P107(f315(f315(f223(x72131),x72132),f2(x72131)))+P107(f315(f315(f223(x72131),f2(x72131)),f315(f315(f279(x72131),x72132),x72133)))
% 201.34/201.10 [7214]~P127(x72141)+~P107(f315(f315(f224(x72141),x72143),f2(x72141)))+~P107(f315(f315(f224(x72141),x72142),f2(x72141)))+P107(f315(f315(f224(x72141),f2(x72141)),f315(f315(f74(x72141),x72142),x72143)))
% 201.34/201.10 [7215]~P67(x72151)+~P107(f315(f315(f224(x72151),x72153),f2(x72151)))+~P107(f315(f315(f224(x72151),x72152),f2(x72151)))+P107(f315(f315(f224(x72151),f2(x72151)),f315(f315(f279(x72151),x72152),x72153)))
% 201.34/201.10 [7216]~P68(x72161)+~P107(f315(f315(f224(x72161),x72163),f2(x72161)))+~P107(f315(f315(f224(x72161),x72162),f2(x72161)))+P107(f315(f315(f224(x72161),f2(x72161)),f315(f315(f279(x72161),x72162),x72163)))
% 201.34/201.10 [7217]~P112(x72171)+~P107(f315(f315(f224(a893),f2(a893)),x72173))+~P107(f315(f315(f224(x72171),f71(x72171)),x72172))+P107(f315(f315(f224(x72171),f71(x72171)),f315(f315(f232(x72171),x72172),x72173)))
% 201.34/201.10 [7316]~P132(x73161)+~P107(f315(f315(f223(x73161),f2(x73161)),x73163))+~P107(f315(f315(f223(x73161),f2(x73161)),x73162))+P107(f315(f315(f223(x73161),f2(x73161)),f315(f315(f74(x73161),x73162),x73163)))
% 201.34/201.10 [7317]~P139(x73171)+~P107(f315(f315(f223(x73171),f2(x73171)),x73173))+~P107(f315(f315(f223(x73171),f2(x73171)),x73172))+P107(f315(f315(f223(x73171),f2(x73171)),f315(f315(f74(x73171),x73172),x73173)))
% 201.34/201.10 [7318]~P127(x73181)+~P107(f315(f315(f223(x73181),f2(x73181)),x73183))+~P107(f315(f315(f223(x73181),f2(x73181)),x73182))+P107(f315(f315(f223(x73181),f2(x73181)),f315(f315(f74(x73181),x73182),x73183)))
% 201.34/201.10 [7320]~P67(x73201)+~P107(f315(f315(f223(x73201),f2(x73201)),x73203))+~P107(f315(f315(f223(x73201),f2(x73201)),x73202))+P107(f315(f315(f223(x73201),f2(x73201)),f315(f315(f279(x73201),x73202),x73203)))
% 201.34/201.10 [7321]~P68(x73211)+~P107(f315(f315(f224(x73211),f2(x73211)),x73213))+~P107(f315(f315(f223(x73211),f2(x73211)),x73212))+P107(f315(f315(f223(x73211),f2(x73211)),f315(f315(f279(x73211),x73212),x73213)))
% 201.34/201.10 [7322]~P112(x73221)+~P107(f315(f315(f224(x73221),f71(x73221)),x73223))+~P107(f315(f315(f224(x73221),f71(x73221)),x73222))+P107(f315(f315(f224(x73221),f71(x73221)),f315(f315(f74(x73221),x73222),x73223)))
% 201.34/201.10 [7323]~P138(x73231)+~P107(f315(f315(f224(x73231),f2(x73231)),x73233))+~P107(f315(f315(f224(x73231),f2(x73231)),x73232))+P107(f315(f315(f224(x73231),f2(x73231)),f315(f315(f74(x73231),x73232),x73233)))
% 201.34/201.10 [7326]~P91(x73261)+~P107(f315(f315(f224(x73261),f2(x73261)),x73263))+~P107(f315(f315(f224(x73261),f2(x73261)),x73262))+P107(f315(f315(f224(x73261),f2(x73261)),f315(f315(f73(x73261),x73262),x73263)))
% 201.34/201.10 [7327]~P67(x73271)+~P107(f315(f315(f224(x73271),f2(x73271)),x73273))+~P107(f315(f315(f224(x73271),f2(x73271)),x73272))+P107(f315(f315(f224(x73271),f2(x73271)),f315(f315(f279(x73271),x73272),x73273)))
% 201.34/201.10 [7328]~P68(x73281)+~P107(f315(f315(f224(x73281),f2(x73281)),x73283))+~P107(f315(f315(f224(x73281),f2(x73281)),x73282))+P107(f315(f315(f224(x73281),f2(x73281)),f315(f315(f279(x73281),x73282),x73283)))
% 201.34/201.10 [7407]~P80(x74071)+~P107(f315(f54(x74071),x74073))+E(f12(x74071,f315(f315(f297(x74071),x74072),x74073)),x74072)+~E(f315(f315(f3(f901(x74071,a891)),x74073),f315(f315(f297(x74071),x74072),f177(f901(x74071,a891)))),f177(f901(x74071,a891)))
% 201.34/201.10 [7408]~P80(x74081)+~P107(f315(f54(x74081),x74083))+E(f13(x74081,f315(f315(f297(x74081),x74082),x74083)),x74082)+~E(f315(f315(f3(f901(x74081,a891)),x74083),f315(f315(f297(x74081),x74082),f177(f901(x74081,a891)))),f177(f901(x74081,a891)))
% 201.34/201.10 [7409]~P110(x74091)+~P107(f315(f54(x74091),x74093))+E(f16(x74091,f315(f315(f297(x74091),x74092),x74093)),x74092)+~E(f315(f315(f3(f901(x74091,a891)),x74093),f315(f315(f297(x74091),x74092),f177(f901(x74091,a891)))),f177(f901(x74091,a891)))
% 201.34/201.10 [7410]~P110(x74101)+~P107(f315(f54(x74101),x74103))+E(f17(x74101,f315(f315(f297(x74101),x74102),x74103)),x74102)+~E(f315(f315(f3(f901(x74101,a891)),x74103),f315(f315(f297(x74101),x74102),f177(f901(x74101,a891)))),f177(f901(x74101,a891)))
% 201.34/201.10 [7412]~P127(x74121)+P107(f315(f315(f223(x74121),x74122),f2(x74121)))+P107(f315(f315(f223(x74121),f2(x74121)),x74123))+~P107(f315(f315(f223(x74121),f2(x74121)),f315(f315(f74(x74121),x74123),x74122)))
% 201.34/201.10 [7413]~P127(x74131)+P107(f315(f315(f223(x74131),x74132),f2(x74131)))+P107(f315(f315(f223(x74131),f2(x74131)),x74133))+~P107(f315(f315(f223(x74131),f2(x74131)),f315(f315(f74(x74131),x74132),x74133)))
% 201.34/201.10 [7414]~P67(x74141)+P107(f315(f315(f223(x74141),x74142),f2(x74141)))+P107(f315(f315(f223(x74141),f2(x74141)),x74143))+~P107(f315(f315(f223(x74141),f2(x74141)),f315(f315(f279(x74141),x74143),x74142)))
% 201.34/201.10 [7415]~P67(x74151)+P107(f315(f315(f223(x74151),x74152),f2(x74151)))+P107(f315(f315(f223(x74151),f2(x74151)),x74153))+~P107(f315(f315(f223(x74151),f2(x74151)),f315(f315(f279(x74151),x74152),x74153)))
% 201.34/201.10 [7416]~P127(x74161)+P107(f315(f315(f223(x74161),x74162),f2(x74161)))+P107(f315(f315(f223(x74161),f2(x74161)),x74162))+~P107(f315(f315(f223(x74161),f2(x74161)),f315(f315(f74(x74161),x74163),x74162)))
% 201.34/201.10 [7417]~P127(x74171)+P107(f315(f315(f223(x74171),x74172),f2(x74171)))+P107(f315(f315(f223(x74171),f2(x74171)),x74172))+~P107(f315(f315(f223(x74171),f2(x74171)),f315(f315(f74(x74171),x74172),x74173)))
% 201.34/201.10 [7418]~P67(x74181)+P107(f315(f315(f223(x74181),x74182),f2(x74181)))+P107(f315(f315(f223(x74181),f2(x74181)),x74182))+~P107(f315(f315(f223(x74181),f2(x74181)),f315(f315(f279(x74181),x74183),x74182)))
% 201.34/201.10 [7419]~P67(x74191)+P107(f315(f315(f223(x74191),x74192),f2(x74191)))+P107(f315(f315(f223(x74191),f2(x74191)),x74192))+~P107(f315(f315(f223(x74191),f2(x74191)),f315(f315(f279(x74191),x74192),x74193)))
% 201.34/201.10 [7420]~P67(x74201)+P107(f315(f315(f224(x74201),x74202),f2(x74201)))+P107(f315(f315(f224(x74201),f2(x74201)),x74203))+~P107(f315(f315(f224(x74201),f2(x74201)),f315(f315(f279(x74201),x74203),x74202)))
% 201.34/201.10 [7421]~P67(x74211)+P107(f315(f315(f224(x74211),x74212),f2(x74211)))+P107(f315(f315(f224(x74211),f2(x74211)),x74213))+~P107(f315(f315(f224(x74211),f2(x74211)),f315(f315(f279(x74211),x74212),x74213)))
% 201.34/201.10 [7422]~P67(x74221)+P107(f315(f315(f224(x74221),x74222),f2(x74221)))+P107(f315(f315(f224(x74221),f2(x74221)),x74222))+~P107(f315(f315(f224(x74221),f2(x74221)),f315(f315(f279(x74221),x74223),x74222)))
% 201.34/201.10 [7423]~P67(x74231)+P107(f315(f315(f224(x74231),x74232),f2(x74231)))+P107(f315(f315(f224(x74231),f2(x74231)),x74232))+~P107(f315(f315(f224(x74231),f2(x74231)),f315(f315(f279(x74231),x74232),x74233)))
% 201.34/201.10 [7496]~P107(f315(f315(f275(a893),x74961),x74963))+P107(f315(f315(f275(a893),x74961),x74962))+~P107(f315(f315(f223(a893),x74962),x74963))+~P107(f315(f315(f275(a893),x74961),f315(f315(f3(a893),x74963),x74962)))
% 201.34/201.10 [7497]~P107(f315(f315(f275(a893),x74971),x74973))+P107(f315(f315(f275(a893),x74971),x74972))+~P107(f315(f315(f223(a893),x74973),x74972))+~P107(f315(f315(f275(a893),x74971),f315(f315(f3(a893),x74972),x74973)))
% 201.34/201.10 [7512]~E(f315(f315(f90(f901(x75121,a891)),f315(f161(x75121),x75122)),f315(f161(x75121),x75123)),f177(f901(x75121,a891)))+~P107(f315(f126(x75121),x75123))+~P107(f315(f126(x75121),x75122))+P107(f315(f126(x75121),f315(f315(f123(x75121),x75122),x75123)))
% 201.34/201.10 [7513]~P110(x75131)+~P107(f315(f54(x75131),x75133))+E(f14(x75131,f221(x75131),f315(f315(f297(x75131),x75132),x75133)),x75132)+~E(f315(f315(f3(f901(x75131,a891)),x75133),f315(f315(f297(x75131),x75132),f177(f901(x75131,a891)))),f177(f901(x75131,a891)))
% 201.34/201.10 [7514]~P110(x75141)+~P107(f315(f54(x75141),x75143))+E(f15(x75141,f222(x75141),f315(f315(f297(x75141),x75142),x75143)),x75142)+~E(f315(f315(f3(f901(x75141,a891)),x75143),f315(f315(f297(x75141),x75142),f177(f901(x75141,a891)))),f177(f901(x75141,a891)))
% 201.34/201.10 [7527]~P88(x75271)+~P107(f315(f315(f223(x75271),x75272),x75273))+~P107(f315(f315(f223(x75271),f315(f72(x75271),x75272)),x75273))+P107(f315(f315(f223(x75271),f315(f69(x75271),x75272)),x75273))
% 201.34/201.10 [7528]~P120(x75281)+~P107(f315(f315(f224(x75281),x75282),x75283))+~P107(f315(f315(f224(x75281),f315(f72(x75281),x75282)),x75283))+P107(f315(f315(f224(x75281),f315(f69(x75281),x75282)),x75283))
% 201.34/201.10 [7595]~P138(x75951)+P107(f315(f315(f224(x75951),f2(x75951)),x75952))+~P107(f315(f315(f224(x75951),f2(x75951)),x75953))+~P107(f315(f315(f224(x75951),f2(x75951)),f315(f315(f74(x75951),x75953),x75952)))
% 201.34/201.10 [7596]~P138(x75961)+P107(f315(f315(f224(x75961),f2(x75961)),x75962))+~P107(f315(f315(f224(x75961),f2(x75961)),x75963))+~P107(f315(f315(f224(x75961),f2(x75961)),f315(f315(f74(x75961),x75962),x75963)))
% 201.34/201.10 [7897]E(x78971,x78972)+~P107(f315(f54(x78973),x78971))+~P107(f315(f315(f223(a893),f315(f28(x78973),x78971)),f315(f28(x78973),x78972)))+~P107(f315(f315(f223(f901(x78973,a891)),x78972),x78971))
% 201.34/201.10 [8043]~P107(f315(f315(f224(a1),x80431),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x80432))+~P107(f315(f315(f223(a1),x80432),x80433))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x80431),x80432)),f315(f315(f29(a1),x80431),x80433)))
% 201.34/201.10 [8053]~P107(f315(f315(f223(a1),f2(a1)),x80531))+~P107(f315(f315(f224(a1),f2(a1)),x80533))+~P107(f315(f315(f223(a1),x80533),x80532))+P107(f315(f315(f223(a1),f315(f315(f29(a1),x80531),x80532)),f315(f315(f29(a1),x80531),x80533)))
% 201.34/201.10 [8187]E(f315(x81871,f354(x81872,x81871,x81873)),x81872)+~P107(f315(f315(f223(a1),x81872),f315(x81871,x81873)))+P107(f315(f315(f224(a893),f355(x81872,x81871,x81873)),x81873))+~P107(f315(f315(f223(a1),f315(x81871,f2(a893))),x81872))
% 201.34/201.10 [8188]E(f315(x81881,f360(x81882,x81881,x81883)),x81882)+~P107(f315(f315(f223(a1),x81882),f315(x81881,x81883)))+P107(f315(f315(f224(a893),f361(x81882,x81881,x81883)),x81883))+~P107(f315(f315(f223(a1),f315(x81881,f2(a893))),x81882))
% 201.34/201.10 [8290]~P107(f315(f54(x82901),x82903))+~P107(f315(f315(f224(a893),f315(f28(x82901),x82902)),f315(f28(x82901),x82903)))+~P107(f315(f315(f223(f901(x82901,a891)),x82902),x82903))+P107(f315(f315(f224(f901(x82901,a891)),x82902),x82903))
% 201.34/201.10 [8317]E(f315(f315(f73(a1),f422(x83173,x83171,x83172)),f423(x83173,x83171,x83172)),x83171)+E(f315(f315(f3(a1),x83171),x83172),x83171)+~P107(f315(f315(f224(a1),f2(a1)),x83172))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x83171),f71(a1))),x83173))
% 201.34/201.10 [8318]E(f315(f315(f3(a1),f425(x83183,x83181,x83182)),f426(x83183,x83181,x83182)),x83181)+E(f315(f315(f73(a1),x83181),x83182),x83181)+~P107(f315(f315(f224(a1),f2(a1)),x83182))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x83181),f71(a1))),x83183))
% 201.34/201.10 [8369]~P107(f315(f315(f223(a893),x83693),x83691))+P107(f315(f315(f223(a893),x83691),x83692))+~P107(f315(f315(f223(a893),x83693),x83692))+~P107(f315(f315(f223(a893),f315(f315(f3(a893),x83691),x83693)),f315(f315(f3(a893),x83692),x83693)))
% 201.34/201.10 [8370]~P107(f315(f315(f223(a893),x83703),x83701))+P107(f315(f315(f224(a893),x83701),x83702))+~P107(f315(f315(f223(a893),x83703),x83702))+~P107(f315(f315(f224(a893),f315(f315(f3(a893),x83701),x83703)),f315(f315(f3(a893),x83702),x83703)))
% 201.34/201.10 [8389]~P110(x83892)+E(x83891,f102(x83892))+~P13(x83892,f315(f157(x83892),x83891))+E(f315(f131(x83892,x83892,f315(f9(x83892,x83892,x83892),f222(x83892)),x83893),f315(f157(x83892),x83891)),f315(f315(f222(x83892),f315(f315(f153(x83892),x83891),f2(a893))),x83893))
% 201.34/201.10 [8458]E(f315(f315(f3(a1),x84581),x84582),x84581)+~P107(f315(f315(f224(a1),f2(a1)),x84582))+P107(f315(f315(f317(a1),f422(x84583,x84581,x84582)),x84583))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x84581),f71(a1))),x84583))
% 201.34/201.10 [8459]E(f315(f315(f73(a1),x84591),x84592),x84591)+~P107(f315(f315(f224(a1),f2(a1)),x84592))+P107(f315(f315(f317(a1),f425(x84593,x84591,x84592)),x84593))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x84591),f71(a1))),x84593))
% 201.34/201.10 [8531]~P107(f315(f315(f223(a1),x85311),f315(x85312,x85313)))+P107(f315(f315(f224(a893),f355(x85311,x85312,x85313)),x85313))+P107(f315(f315(f223(a893),f354(x85311,x85312,x85313)),x85313))+~P107(f315(f315(f223(a1),f315(x85312,f2(a893))),x85311))
% 201.34/201.10 [8532]~P107(f315(f315(f223(a1),x85321),f315(x85322,x85323)))+P107(f315(f315(f224(a893),f361(x85321,x85322,x85323)),x85323))+P107(f315(f315(f223(a893),f360(x85321,x85322,x85323)),x85323))+~P107(f315(f315(f223(a1),f315(x85322,f2(a893))),x85321))
% 201.34/201.10 [8604]E(f315(f315(f3(a1),x86041),x86042),x86041)+~P107(f315(f315(f224(a1),f2(a1)),x86042))+P107(f315(f315(f317(a1),f423(x86043,x86041,x86042)),f291(a1,f71(a1),x86042)))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x86041),f71(a1))),x86043))
% 201.34/201.10 [8605]E(f315(f315(f73(a1),x86051),x86052),x86051)+~P107(f315(f315(f224(a1),f2(a1)),x86052))+P107(f315(f315(f317(a1),f426(x86053,x86051,x86052)),f291(a1,f71(a1),x86052)))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x86051),f71(a1))),x86053))
% 201.34/201.10 [8739]~P112(x87391)+~P107(f315(f315(f224(x87391),x87392),f71(x87391)))+~P107(f315(f315(f224(x87391),f2(x87391)),x87392))+P107(f315(f315(f224(x87391),f315(f315(f74(x87391),x87392),f315(f315(f232(x87391),x87392),x87393))),f315(f315(f232(x87391),x87392),x87393)))
% 201.34/201.10 [8832]~P107(f315(x88321,x88322))+P107(f315(x88321,f2(a893)))+~P107(f315(f315(f224(a893),x88322),x88323))+~P107(f315(x88321,f38(a893,f315(a101,f358(x88322,x88321,x88323)),x88323)))
% 201.34/201.10 [8984]E(f385(x89841,x89842,x89843),f2(a893))+P107(f315(f315(x89841,x89843),x89842))+P107(f315(f315(x89841,f385(x89841,x89842,x89843)),f38(a893,f384(x89841,x89842,x89843),f385(x89841,x89842,x89843))))+~P107(f315(f303(f900(a893,a893),a208),f315(f315(f240(a893,a893),x89843),x89842)))
% 201.34/201.10 [9020]~P26(x90201,x90201,x90202,x90203)+E(f315(f298(x90201,x90201,x90202),x90203),x90203)+~P107(f315(f54(x90201),x90203))+~P107(f315(f315(f223(f901(x90201,a891)),f315(f298(x90201,x90201,x90202),x90203)),x90203))
% 201.34/201.10 [9235]P107(f315(f315(x92351,x92352),x92353))+P107(f315(f315(f224(a1),f749(x92351,x92353,x92352)),f750(x92351,x92353,x92352)))+P107(f315(f315(x92351,f749(x92351,x92353,x92352)),f315(f315(f73(a1),f750(x92351,x92353,x92352)),f71(a1))))+~P107(f315(f303(f900(a1,a1),a122),f315(f315(f240(a1,a1),x92352),x92353)))
% 201.34/201.10 [9252]P107(f315(f315(x92521,x92522),x92523))+~P107(f315(f315(f224(a1),f383(x92521,x92523,x92522)),f2(a1)))+P107(f315(f315(x92521,f315(f72(a1),f379(x92521,x92523,x92522))),f315(f72(a1),f383(x92521,x92523,x92522))))+~P107(f315(f303(f900(a1,a1),a210),f315(f315(f240(a1,a1),x92522),x92523)))
% 201.34/201.10 [9443]P107(f315(f315(x94431,x94432),x94433))+P107(f315(f315(x94431,f315(f315(f73(a1),f655(x94431,x94433,x94432)),f71(a1))),f657(x94431,x94433,x94432)))+~P107(f315(f315(f223(a1),f655(x94431,x94433,x94432)),f657(x94431,x94433,x94432)))+~P107(f315(f303(f900(a1,a1),a171),f315(f315(f240(a1,a1),x94432),x94433)))
% 201.34/201.10 [9885]~P64(x98852)+~P64(x98851)+~P107(f315(f49(f900(x98851,x98852)),x98853))+P107(f315(f49(x98851),f315(f315(f10(f901(x98852,a891),a891,x98851),f49(x98852)),f315(f315(f10(f901(x98852,f900(x98851,x98852)),f901(x98852,a891),x98851),f315(f10(f900(x98851,x98852),a891,x98852),x98853)),f240(x98851,x98852)))))
% 201.34/201.10 [9886]~P64(x98862)+~P64(x98861)+~P107(f315(f50(f900(x98861,x98862)),x98863))+P107(f315(f50(x98861),f315(f315(f10(f901(x98862,a891),a891,x98861),f50(x98862)),f315(f315(f10(f901(x98862,f900(x98861,x98862)),f901(x98862,a891),x98861),f315(f10(f900(x98861,x98862),a891,x98862),x98863)),f240(x98861,x98862)))))
% 201.34/201.10 [9980]~P64(x99802)+~P64(x99801)+P107(f315(f49(f900(x99801,x99802)),x99803))+~P107(f315(f49(x99801),f315(f315(f10(f901(x99802,a891),a891,x99801),f49(x99802)),f315(f315(f10(f901(x99802,f900(x99801,x99802)),f901(x99802,a891),x99801),f315(f10(f900(x99801,x99802),a891,x99802),x99803)),f240(x99801,x99802)))))
% 201.34/201.10 [9981]~P64(x99812)+~P64(x99811)+P107(f315(f50(f900(x99811,x99812)),x99813))+~P107(f315(f50(x99811),f315(f315(f10(f901(x99812,a891),a891,x99811),f50(x99812)),f315(f315(f10(f901(x99812,f900(x99811,x99812)),f901(x99812,a891),x99811),f315(f10(f900(x99811,x99812),a891,x99812),x99813)),f240(x99811,x99812)))))
% 201.34/201.10 [10153]E(f315(x101531,f354(x101532,x101531,x101533)),x101532)+~P107(f315(f315(f223(a1),x101532),f315(x101531,x101533)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x101531,f315(f315(f73(a893),f355(x101532,x101531,x101533)),f71(a893)))),f315(x101531,f355(x101532,x101531,x101533))))),f71(a1)))+~P107(f315(f315(f223(a1),f315(x101531,f2(a893))),x101532))
% 201.34/201.10 [10154]E(f315(x101541,f360(x101542,x101541,x101543)),x101542)+~P107(f315(f315(f223(a1),x101542),f315(x101541,x101543)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x101541,f315(f315(f73(a893),f361(x101542,x101541,x101543)),f71(a893)))),f315(x101541,f361(x101542,x101541,x101543))))),f71(a1)))+~P107(f315(f315(f223(a1),f315(x101541,f2(a893))),x101542))
% 201.34/201.10 [10157]~P107(f315(f315(f223(a1),x101571),f315(x101572,x101573)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x101572,f315(f315(f73(a893),f355(x101571,x101572,x101573)),f71(a893)))),f315(x101572,f355(x101571,x101572,x101573))))),f71(a1)))+P107(f315(f315(f223(a893),f354(x101571,x101572,x101573)),x101573))+~P107(f315(f315(f223(a1),f315(x101572,f2(a893))),x101571))
% 201.34/201.10 [10158]~P107(f315(f315(f223(a1),x101581),f315(x101582,x101583)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x101582,f315(f315(f73(a893),f361(x101581,x101582,x101583)),f71(a893)))),f315(x101582,f361(x101581,x101582,x101583))))),f71(a1)))+P107(f315(f315(f223(a893),f360(x101581,x101582,x101583)),x101583))+~P107(f315(f315(f223(a1),f315(x101582,f2(a893))),x101581))
% 201.34/201.10 [10215]E(x102151,x102152)+~E(f315(f131(f894(x102153),f894(x102153),f123(x102153),f102(x102153)),x102151),f315(f131(f894(x102153),f894(x102153),f123(x102153),f102(x102153)),x102152))+~E(f315(f178(f894(f894(x102153))),x102151),f315(f178(f894(f894(x102153))),x102152))+~P107(f315(f315(f245(f894(x102153),f894(x102153),a891),f315(f315(f9(f894(x102153),f901(f894(x102153),a893),f901(f894(x102153),a891)),f315(f315(f10(f901(a893,a891),f901(f901(f894(x102153),a893),f901(f894(x102153),a891)),f894(x102153)),f10(a893,a891,f894(x102153))),f315(f315(f10(a893,f901(a893,a891),f894(x102153)),a312),f178(f894(x102153))))),f178(f894(x102153)))),f681(x102152,x102151,x102153)))
% 201.34/201.10 [10216]E(x102161,x102162)+~E(f315(f131(f894(x102163),f894(x102163),f123(x102163),f102(x102163)),x102161),f315(f131(f894(x102163),f894(x102163),f123(x102163),f102(x102163)),x102162))+~E(f315(f178(f894(f894(x102163))),x102161),f315(f178(f894(f894(x102163))),x102162))+~P107(f315(f315(f245(f894(x102163),f894(x102163),a891),f315(f315(f9(f894(x102163),f901(f894(x102163),a893),f901(f894(x102163),a891)),f315(f315(f10(f901(a893,a891),f901(f901(f894(x102163),a893),f901(f894(x102163),a891)),f894(x102163)),f10(a893,a891,f894(x102163))),f315(f315(f10(a893,f901(a893,a891),f894(x102163)),a312),f178(f894(x102163))))),f178(f894(x102163)))),f682(x102161,x102162,x102163)))
% 201.34/201.10 [6916]~E(f71(a893),f2(a893))+~P107(f315(f54(x69161),x69163))+~P107(f315(f54(x69161),x69162))+E(f315(f315(f73(a893),f315(f28(x69161),x69162)),f315(f28(x69161),x69163)),f315(f28(x69161),f315(f315(f99(f901(x69161,a891)),x69162),x69163)))
% 201.34/201.10 [7335]~P103(x73351)+~P107(f315(f54(x73351),x73352))+~P107(f315(f315(f317(x73351),x73353),x73352))+P107(f315(f315(f223(x73351),f315(f56(x73351,f90(x73351)),x73352)),x73353))
% 201.34/201.10 [7336]~P110(x73361)+~P107(f315(f54(x73361),x73362))+~P107(f315(f315(f317(x73361),x73363),x73362))+P107(f315(f315(f223(x73361),f315(f56(x73361,f221(x73361)),x73362)),x73363))
% 201.34/201.10 [7589]~P107(f315(f54(x75891),x75893))+~P107(f315(f54(x75891),x75892))+~E(f315(f315(f90(f901(x75891,a891)),x75892),x75893),f177(f901(x75891,a891)))+E(f315(f315(f73(a893),f315(f28(x75891),x75892)),f315(f28(x75891),x75893)),f315(f28(x75891),f315(f315(f99(f901(x75891,a891)),x75892),x75893)))
% 201.34/201.10 [8375]~P39(x83751,x83753)+~P39(x83751,x83752)+~E(f315(f315(f90(f901(x83751,a891)),f315(f252(x83751,x83751),x83752)),f315(f272(x83751,x83751),x83753)),f177(f901(x83751,a891)))+P39(x83751,f315(f315(f99(f901(f900(x83751,x83751),a891)),x83752),x83753))
% 201.34/201.10 [8470]E(x84701,f315(f315(f29(a893),x84702),x84703))+~P107(f315(f315(f224(a893),f2(a893)),x84703))+~P107(f315(f315(f224(a893),x84702),f315(f315(f74(a893),x84703),f315(a101,x84701))))+~P107(f315(f315(f223(a893),f315(f315(f74(a893),x84703),x84701)),x84702))
% 201.34/201.10 [8602]~P107(f315(f54(x86021),x86022))+~P107(f315(f54(x86021),x86023))+E(f315(f315(f73(a893),f315(f28(x86021),x86022)),f315(f28(x86021),x86023)),f315(f28(x86021),f315(f315(f99(f901(x86021,a891)),x86022),x86023)))+P107(f315(f315(f317(x86021),f854(x86023,x86022,x86021)),f315(f315(f90(f901(x86021,a891)),x86022),x86023)))
% 201.34/201.10 [8996]~P127(x89962)+~E(x89961,f2(x89962))+~E(x89963,f2(x89962))+~P107(f315(f315(f224(x89962),f2(x89962)),f315(f315(f73(x89962),f315(f315(f74(x89962),x89963),x89963)),f315(f315(f74(x89962),x89961),x89961))))
% 201.34/201.10 [9524]~P39(x95241,x95243)+~P39(x95241,x95242)+P39(x95241,f315(f315(f99(f901(f900(x95241,x95241),a891)),x95242),x95243))+~P107(f315(f315(f223(f901(f900(x95241,x95241),a891)),f315(f315(f277(x95241,x95241,x95241),x95242),x95243)),x95242))
% 201.34/201.10 [9661]~P107(f315(x96611,x96613))+~P107(f315(f54(x96612),x96613))+P107(f315(x96611,f177(f901(x96612,a891))))+~P107(f315(x96611,f315(f315(f3(f901(x96612,a891)),f406(x96611,x96613,x96612)),f315(f315(f297(x96612),f408(x96611,x96613,x96612)),f177(f901(x96612,a891))))))
% 201.34/201.10 [8779]~P107(f315(f315(f224(a1),f2(a1)),x87793))+P107(f315(f315(f223(a1),f2(a1)),x87791))+~P107(f315(f315(f224(a1),x87792),x87793))+~P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),f315(f315(f74(a1),x87793),x87791)),x87792)))
% 201.34/201.10 [8803]~P80(x88031)+~P107(f315(f54(x88031),x88032))+E(f315(f315(f3(f901(x88031,a891)),x88032),f315(f315(f297(x88031),x88033),f177(f901(x88031,a891)))),f177(f901(x88031,a891)))+E(f315(f315(f99(x88031),x88033),f12(x88031,f315(f315(f3(f901(x88031,a891)),x88032),f315(f315(f297(x88031),x88033),f177(f901(x88031,a891)))))),f12(x88031,f315(f315(f297(x88031),x88033),x88032)))
% 201.34/201.10 [8804]~P80(x88041)+~P107(f315(f54(x88041),x88042))+E(f315(f315(f3(f901(x88041,a891)),x88042),f315(f315(f297(x88041),x88043),f177(f901(x88041,a891)))),f177(f901(x88041,a891)))+E(f315(f315(f90(x88041),x88043),f13(x88041,f315(f315(f3(f901(x88041,a891)),x88042),f315(f315(f297(x88041),x88043),f177(f901(x88041,a891)))))),f13(x88041,f315(f315(f297(x88041),x88043),x88042)))
% 201.34/201.10 [8805]~P110(x88051)+~P107(f315(f54(x88051),x88052))+E(f315(f315(f3(f901(x88051,a891)),x88052),f315(f315(f297(x88051),x88053),f177(f901(x88051,a891)))),f177(f901(x88051,a891)))+E(f315(f315(f221(x88051),x88053),f16(x88051,f315(f315(f3(f901(x88051,a891)),x88052),f315(f315(f297(x88051),x88053),f177(f901(x88051,a891)))))),f16(x88051,f315(f315(f297(x88051),x88053),x88052)))
% 201.34/201.10 [8806]~P110(x88061)+~P107(f315(f54(x88061),x88062))+E(f315(f315(f3(f901(x88061,a891)),x88062),f315(f315(f297(x88061),x88063),f177(f901(x88061,a891)))),f177(f901(x88061,a891)))+E(f315(f315(f222(x88061),x88063),f17(x88061,f315(f315(f3(f901(x88061,a891)),x88062),f315(f315(f297(x88061),x88063),f177(f901(x88061,a891)))))),f17(x88061,f315(f315(f297(x88061),x88063),x88062)))
% 201.34/201.10 [8878]~P110(x88781)+~P107(f315(f54(x88781),x88782))+E(f315(f315(f3(f901(x88781,a891)),x88782),f315(f315(f297(x88781),x88783),f177(f901(x88781,a891)))),f177(f901(x88781,a891)))+E(f315(f315(f221(x88781),x88783),f14(x88781,f221(x88781),f315(f315(f3(f901(x88781,a891)),x88782),f315(f315(f297(x88781),x88783),f177(f901(x88781,a891)))))),f14(x88781,f221(x88781),f315(f315(f297(x88781),x88783),x88782)))
% 201.34/201.10 [8879]~P110(x88791)+~P107(f315(f54(x88791),x88792))+E(f315(f315(f3(f901(x88791,a891)),x88792),f315(f315(f297(x88791),x88793),f177(f901(x88791,a891)))),f177(f901(x88791,a891)))+E(f315(f315(f222(x88791),x88793),f15(x88791,f222(x88791),f315(f315(f3(f901(x88791,a891)),x88792),f315(f315(f297(x88791),x88793),f177(f901(x88791,a891)))))),f15(x88791,f222(x88791),f315(f315(f297(x88791),x88793),x88792)))
% 201.34/201.10 [9462]E(x94621,x94622)+~E(f315(f131(f894(x94623),f894(x94623),f123(x94623),f102(x94623)),x94621),f315(f131(f894(x94623),f894(x94623),f123(x94623),f102(x94623)),x94622))+~E(f315(f178(f894(f894(x94623))),x94621),f315(f178(f894(f894(x94623))),x94622))+P107(f315(f315(f317(f900(f894(x94623),f894(x94623))),f681(x94622,x94621,x94623)),f315(f161(f900(f894(x94623),f894(x94623))),f315(f315(f170(f894(x94623),f894(x94623)),x94621),x94622))))
% 201.34/201.10 [9463]E(x94631,x94632)+~E(f315(f131(f894(x94633),f894(x94633),f123(x94633),f102(x94633)),x94631),f315(f131(f894(x94633),f894(x94633),f123(x94633),f102(x94633)),x94632))+~E(f315(f178(f894(f894(x94633))),x94631),f315(f178(f894(f894(x94633))),x94632))+P107(f315(f315(f317(f900(f894(x94633),f894(x94633))),f682(x94631,x94632,x94633)),f315(f161(f900(f894(x94633),f894(x94633))),f315(f315(f170(f894(x94633),f894(x94633)),x94632),x94631))))
% 201.34/201.10 [10324]~P101(x103242)+E(x103241,f177(f901(x103242,a891)))+~P107(f315(f54(x103242),x103241))+E(f13(x103242,f315(f250(x103242),f315(f315(f10(f901(x103242,a891),a891,x103242),f80(x103242)),f315(f315(f9(x103242,f901(x103242,a891),f901(x103242,a891)),f315(f315(f10(f901(x103242,f901(a891,a891)),f901(f901(x103242,a891),f901(x103242,a891)),x103242),f20(x103242,a891,a891)),f315(f315(f10(f901(x103242,a891),f901(x103242,f901(a891,a891)),x103242),f315(f10(a891,f901(a891,a891),x103242),a313)),f315(f315(f9(x103242,f901(x103242,x103242),f901(x103242,a891)),f315(f315(f10(f901(x103242,a891),f901(f901(x103242,x103242),f901(x103242,a891)),x103242),f10(x103242,a891,x103242)),a312)),f315(f99(x103242),x103243))))),f315(f315(f9(x103242,f901(x103242,a891),a891),f317(x103242)),x103241))))),f315(f315(f99(x103242),x103243),f13(x103242,x103241)))
% 201.34/201.10 [10325]~P101(x103252)+E(x103251,f177(f901(x103252,a891)))+~P107(f315(f54(x103252),x103251))+E(f12(x103252,f315(f250(x103252),f315(f315(f10(f901(x103252,a891),a891,x103252),f80(x103252)),f315(f315(f9(x103252,f901(x103252,a891),f901(x103252,a891)),f315(f315(f10(f901(x103252,f901(a891,a891)),f901(f901(x103252,a891),f901(x103252,a891)),x103252),f20(x103252,a891,a891)),f315(f315(f10(f901(x103252,a891),f901(x103252,f901(a891,a891)),x103252),f315(f10(a891,f901(a891,a891),x103252),a313)),f315(f315(f9(x103252,f901(x103252,x103252),f901(x103252,a891)),f315(f315(f10(f901(x103252,a891),f901(f901(x103252,x103252),f901(x103252,a891)),x103252),f10(x103252,a891,x103252)),a312)),f315(f90(x103252),x103253))))),f315(f315(f9(x103252,f901(x103252,a891),a891),f317(x103252)),x103251))))),f315(f315(f90(x103252),x103253),f12(x103252,x103251)))
% 201.34/201.10 [10326]~P79(x103262)+E(x103261,f177(f901(x103262,a891)))+~P107(f315(f54(x103262),x103261))+E(f16(x103262,f315(f250(x103262),f315(f315(f10(f901(x103262,a891),a891,x103262),f80(x103262)),f315(f315(f9(x103262,f901(x103262,a891),f901(x103262,a891)),f315(f315(f10(f901(x103262,f901(a891,a891)),f901(f901(x103262,a891),f901(x103262,a891)),x103262),f20(x103262,a891,a891)),f315(f315(f10(f901(x103262,a891),f901(x103262,f901(a891,a891)),x103262),f315(f10(a891,f901(a891,a891),x103262),a313)),f315(f315(f9(x103262,f901(x103262,x103262),f901(x103262,a891)),f315(f315(f10(f901(x103262,a891),f901(f901(x103262,x103262),f901(x103262,a891)),x103262),f10(x103262,a891,x103262)),a312)),f315(f73(x103262),x103263))))),f315(f315(f9(x103262,f901(x103262,a891),a891),f317(x103262)),x103261))))),f315(f315(f73(x103262),x103263),f16(x103262,x103261)))
% 201.34/201.10 [10327]~P79(x103272)+E(x103271,f177(f901(x103272,a891)))+~P107(f315(f54(x103272),x103271))+E(f17(x103272,f315(f250(x103272),f315(f315(f10(f901(x103272,a891),a891,x103272),f80(x103272)),f315(f315(f9(x103272,f901(x103272,a891),f901(x103272,a891)),f315(f315(f10(f901(x103272,f901(a891,a891)),f901(f901(x103272,a891),f901(x103272,a891)),x103272),f20(x103272,a891,a891)),f315(f315(f10(f901(x103272,a891),f901(x103272,f901(a891,a891)),x103272),f315(f10(a891,f901(a891,a891),x103272),a313)),f315(f315(f9(x103272,f901(x103272,x103272),f901(x103272,a891)),f315(f315(f10(f901(x103272,a891),f901(f901(x103272,x103272),f901(x103272,a891)),x103272),f10(x103272,a891,x103272)),a312)),f315(f73(x103272),x103273))))),f315(f315(f9(x103272,f901(x103272,a891),a891),f317(x103272)),x103271))))),f315(f315(f73(x103272),x103273),f17(x103272,x103271)))
% 201.34/201.10 [10328]~P110(x103282)+E(x103281,f177(f901(x103282,a891)))+~P107(f315(f54(x103282),x103281))+E(f15(x103282,f222(x103282),f315(f250(x103282),f315(f315(f10(f901(x103282,a891),a891,x103282),f80(x103282)),f315(f315(f9(x103282,f901(x103282,a891),f901(x103282,a891)),f315(f315(f10(f901(x103282,f901(a891,a891)),f901(f901(x103282,a891),f901(x103282,a891)),x103282),f20(x103282,a891,a891)),f315(f315(f10(f901(x103282,a891),f901(x103282,f901(a891,a891)),x103282),f315(f10(a891,f901(a891,a891),x103282),a313)),f315(f315(f9(x103282,f901(x103282,x103282),f901(x103282,a891)),f315(f315(f10(f901(x103282,a891),f901(f901(x103282,x103282),f901(x103282,a891)),x103282),f10(x103282,a891,x103282)),a312)),f315(f221(x103282),x103283))))),f315(f315(f9(x103282,f901(x103282,a891),a891),f317(x103282)),x103281))))),f315(f315(f221(x103282),x103283),f15(x103282,f222(x103282),x103281)))
% 201.34/201.10 [10329]~P110(x103292)+E(x103291,f177(f901(x103292,a891)))+~P107(f315(f54(x103292),x103291))+E(f14(x103292,f221(x103292),f315(f250(x103292),f315(f315(f10(f901(x103292,a891),a891,x103292),f80(x103292)),f315(f315(f9(x103292,f901(x103292,a891),f901(x103292,a891)),f315(f315(f10(f901(x103292,f901(a891,a891)),f901(f901(x103292,a891),f901(x103292,a891)),x103292),f20(x103292,a891,a891)),f315(f315(f10(f901(x103292,a891),f901(x103292,f901(a891,a891)),x103292),f315(f10(a891,f901(a891,a891),x103292),a313)),f315(f315(f9(x103292,f901(x103292,x103292),f901(x103292,a891)),f315(f315(f10(f901(x103292,a891),f901(f901(x103292,x103292),f901(x103292,a891)),x103292),f10(x103292,a891,x103292)),a312)),f315(f222(x103292),x103293))))),f315(f315(f9(x103292,f901(x103292,a891),a891),f317(x103292)),x103291))))),f315(f315(f222(x103292),x103293),f14(x103292,f221(x103292),x103291)))
% 201.34/201.10 [10044]~P120(x100441)+~E(x100443,f2(x100441))+~E(x100442,f2(x100441))+E(f315(f315(f73(x100441),f315(f315(f232(x100441),x100442),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x100441),x100443),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f2(x100441))
% 201.34/201.10 [10196]~P112(x101961)+~P107(f315(f315(f223(x101961),f2(x101961)),x101963))+P107(f315(f315(f223(x101961),x101962),x101963))+~P107(f315(f315(f223(x101961),f315(f315(f232(x101961),x101962),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x101961),x101963),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))))
% 201.34/201.10 [10253]~P120(x102532)+~E(x102531,f2(x102532))+~E(x102533,f2(x102532))+~P107(f315(f315(f224(x102532),f2(x102532)),f315(f315(f73(x102532),f315(f315(f232(x102532),x102533),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86))))),f315(f315(f232(x102532),x102531),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))))
% 201.34/201.10 [6794]~P7(x67943,x67942)+~P107(f315(x67941,x67944))+~P107(f315(f315(f317(x67943),x67944),f258(x67943,x67942)))+P107(f315(x67941,f799(x67941,x67942,x67943)))
% 201.34/201.10 [8713]P27(x87131,x87132,f803(x87133,x87132,x87134,x87131),x87134,x87133)+~E(f315(f28(x87131),x87134),f315(f28(x87132),x87133))+~P107(f315(f54(x87132),x87133))+~P107(f315(f54(x87131),x87134))
% 201.34/201.10 [9425]E(x94251,x94252)+~E(f635(x94251,x94252,x94254,x94253),f636(x94251,x94252,x94254,x94253))+P107(f315(f315(f317(f900(f894(x94253),f894(x94253))),f315(f315(f240(f894(x94253),f894(x94253)),x94252),x94251)),f136(x94253,x94254)))+P107(f315(f315(f317(f900(f894(x94253),f894(x94253))),f315(f315(f240(f894(x94253),f894(x94253)),x94251),x94252)),f136(x94253,x94254)))
% 201.34/201.10 [4907]~P65(x49072)+~E(x49074,f2(x49072))+~E(x49071,f2(x49072))+E(x49071,f315(f315(f279(x49072),x49073),x49074))
% 201.34/201.10 [4908]~P65(x49081)+~E(x49083,f2(x49081))+~E(x49084,f2(x49081))+E(f315(f315(f279(x49081),x49082),x49083),x49084)
% 201.34/201.10 [5028]~P65(x50282)+E(x50281,f2(x50282))+~E(x50283,f2(x50282))+~E(x50281,f315(f315(f279(x50282),x50284),x50283))
% 201.34/201.10 [5029]~P65(x50292)+E(x50291,f2(x50292))+~E(x50293,f2(x50292))+~E(f315(f315(f279(x50292),x50294),x50293),x50291)
% 201.34/201.10 [5213]~P124(x52132)+E(x52131,f2(x52132))+~E(f315(f315(f279(x52132),x52133),x52131),x52134)+E(x52133,f315(f315(f74(x52132),x52134),x52131))
% 201.34/201.10 [5215]~P124(x52152)+E(x52151,f2(x52152))+~E(f315(f315(f74(x52152),x52153),x52151),x52154)+E(x52153,f315(f315(f279(x52152),x52154),x52151))
% 201.34/201.10 [5216]~P65(x52162)+E(x52161,f2(x52162))+~E(f315(f315(f279(x52162),x52163),x52161),x52164)+E(x52163,f315(f315(f74(x52162),x52164),x52161))
% 201.34/201.10 [5217]~P65(x52172)+E(x52171,f2(x52172))+~E(f315(f315(f74(x52172),x52173),x52171),x52174)+E(x52173,f315(f315(f279(x52172),x52174),x52171))
% 201.34/201.10 [5218]~P124(x52182)+E(x52181,f2(x52182))+~E(x52183,f315(f315(f279(x52182),x52184),x52181))+E(f315(f315(f74(x52182),x52183),x52181),x52184)
% 201.34/201.10 [5220]~P124(x52202)+E(x52201,f2(x52202))+~E(x52203,f315(f315(f74(x52202),x52204),x52201))+E(f315(f315(f279(x52202),x52203),x52201),x52204)
% 201.34/201.10 [5221]~P65(x52212)+E(x52211,f2(x52212))+~E(x52213,f315(f315(f279(x52212),x52214),x52211))+E(f315(f315(f74(x52212),x52213),x52211),x52214)
% 201.34/201.10 [5222]~P65(x52222)+E(x52221,f2(x52222))+~E(x52223,f315(f315(f74(x52222),x52224),x52221))+E(f315(f315(f279(x52222),x52223),x52221),x52224)
% 201.34/201.10 [5246]~P65(x52462)+~E(x52461,f2(x52462))+~E(f315(f315(f74(x52462),x52461),x52464),x52463)+E(x52461,f315(f315(f279(x52462),x52463),x52464))
% 201.34/201.10 [5247]~P65(x52471)+~E(x52474,f2(x52471))+~E(x52472,f315(f315(f74(x52471),x52474),x52473))+E(f315(f315(f279(x52471),x52472),x52473),x52474)
% 201.34/201.10 [5322]~E(x53223,x53224)+~E(x53222,x53223)+~P111(x53221)+E(f291(x53221,x53222,x53223),f315(f315(f297(x53221),x53224),f177(f901(x53221,a891))))
% 201.34/201.10 [5525]~E(f103(x55252,x55251),x55253)+~E(f133(x55252,x55251),x55254)+E(x55251,f102(x55252))+E(f315(f315(f123(x55252),x55253),f315(f315(f140(x55252),x55254),f102(x55252))),x55251)
% 201.34/201.10 [6170]~P112(x61703)+E(x61701,x61702)+~E(f315(f315(f232(x61703),x61704),x61701),f315(f315(f232(x61703),x61704),x61702))+~P107(f315(f315(f224(x61703),f71(x61703)),x61704))
% 201.34/201.10 [6171]E(x61711,x61712)+~E(f315(f315(f297(x61713),x61714),x61711),f315(f315(f297(x61713),x61714),x61712))+P107(f315(f315(f317(x61713),x61714),x61712))+P107(f315(f315(f317(x61713),x61714),x61711))
% 201.34/201.10 [6214]E(f315(x62141,x62142),f71(a893))+~E(f315(f315(f11(x62143,a893),x62141),x62144),f71(a893))+~P107(f315(f54(x62143),x62144))+~P107(f315(f315(f317(x62143),x62142),x62144))
% 201.34/201.10 [6215]E(f315(x62151,x62152),f2(a893))+~E(f315(f315(f8(x62153,a893),x62151),x62154),f2(a893))+~P107(f315(f54(x62153),x62154))+~P107(f315(f315(f317(x62153),x62152),x62154))
% 201.34/201.10 [6441]~P111(x64411)+~P107(f315(f315(f223(x64411),x64414),x64413))+P107(f315(f315(f223(x64411),x64412),x64413))+~P107(f315(f315(f223(x64411),x64412),x64414))
% 201.34/201.10 [6442]~P108(x64421)+~P107(f315(f315(f223(x64421),x64422),x64424))+P107(f315(f315(f223(x64421),x64422),x64423))+~P107(f315(f315(f223(x64421),x64424),x64423))
% 201.34/201.10 [6443]~P111(x64431)+~P107(f315(f315(f224(x64431),x64434),x64433))+P107(f315(f315(f224(x64431),x64432),x64433))+~P107(f315(f315(f223(x64431),x64432),x64434))
% 201.34/201.10 [6444]~P111(x64441)+~P107(f315(f315(f224(x64441),x64442),x64444))+P107(f315(f315(f224(x64441),x64442),x64443))+~P107(f315(f315(f223(x64441),x64444),x64443))
% 201.34/201.10 [6445]~P111(x64451)+~P107(f315(f315(f224(x64451),x64454),x64453))+P107(f315(f315(f224(x64451),x64452),x64453))+~P107(f315(f315(f224(x64451),x64452),x64454))
% 201.34/201.10 [6446]~P108(x64461)+~P107(f315(f315(f224(x64461),x64462),x64464))+P107(f315(f315(f224(x64461),x64462),x64463))+~P107(f315(f315(f223(x64461),x64464),x64463))
% 201.34/201.10 [6447]~P108(x64471)+~P107(f315(f315(f224(x64471),x64474),x64473))+P107(f315(f315(f224(x64471),x64472),x64473))+~P107(f315(f315(f223(x64471),x64472),x64474))
% 201.34/201.10 [6448]~P108(x64481)+~P107(f315(f315(f224(x64481),x64482),x64484))+P107(f315(f315(f224(x64481),x64482),x64483))+~P107(f315(f315(f224(x64481),x64484),x64483))
% 201.34/201.10 [6449]~P113(x64491)+~P107(f315(f315(f275(x64491),x64492),x64494))+P107(f315(f315(f275(x64491),x64492),x64493))+~P107(f315(f315(f275(x64491),x64494),x64493))
% 201.34/201.10 [6531]~P37(x65314,x65313,x65312)+E(x65311,f735(x65312,x65313,x65314))+~P107(f315(x65313,x65311))+~P107(f315(f315(f317(x65314),x65311),f315(f161(x65314),x65312)))
% 201.34/201.10 [6532]~P37(x65324,x65323,x65322)+E(x65321,f745(x65322,x65323,x65324))+~P107(f315(x65323,x65321))+~P107(f315(f315(f317(x65324),x65321),f315(f161(x65324),x65322)))
% 201.34/201.10 [6685]~P5(x66851)+~P107(f315(f315(f223(x66851),x66852),f31(x66851,x66854)))+P107(f315(f315(f223(x66851),x66852),x66853))+~P107(f315(f315(f317(x66851),x66853),x66854))
% 201.34/201.10 [6836]~P110(x68361)+~P13(x68361,f315(f315(f140(x68361),x68362),x68364))+~P107(f315(f315(f317(x68361),x68363),f315(f161(x68361),x68364)))+P107(f315(f315(f223(x68361),x68362),x68363))
% 201.34/201.10 [6926]~P5(x69261)+~P107(f315(f315(f223(x69261),f30(x69261,x69264)),x69263))+P107(f315(f315(f223(x69261),x69262),x69263))+~P107(f315(f315(f317(x69261),x69262),x69264))
% 201.34/201.10 [7070]~P62(x70701)+P107(f315(f315(f275(x70701),x70702),f38(x70701,x70703,x70704)))+~P107(f315(f315(f275(x70701),x70702),x70704))+~P107(f315(f315(f275(x70701),x70702),x70703))
% 201.34/201.10 [7338]~P110(x73381)+E(f315(f315(f99(f901(x73381,a891)),f315(f290(x73381,x73382),x73383)),f315(f290(x73381,x73383),x73384)),f315(f290(x73381,x73382),x73384))+~P107(f315(f315(f223(x73381),x73383),x73384))+~P107(f315(f315(f223(x73381),x73382),x73383))
% 201.34/201.10 [7382]P37(x73821,x73822,x73823)+~E(f746(x73823,x73822,x73821,x73824),x73824)+~P107(f315(x73822,x73824))+~P107(f315(f315(f317(x73821),x73824),f315(f161(x73821),x73823)))
% 201.34/201.10 [7383]P37(x73831,x73832,x73833)+~E(f753(x73833,x73832,x73831,x73834),x73834)+~P107(f315(x73832,x73834))+~P107(f315(f315(f317(x73831),x73834),f315(f161(x73831),x73833)))
% 201.34/201.10 [7426]~P62(x74261)+~P107(f315(f315(f275(x74261),x74262),f38(x74261,x74263,x74264)))+P107(f315(f315(f275(x74261),x74262),x74263))+~P107(f315(f315(f275(x74261),x74262),x74264))
% 201.34/201.10 [7460]~P110(x74601)+E(f315(f315(f99(f901(x74601,a891)),f315(f290(x74601,x74602),x74603)),f291(x74601,x74603,x74604)),f291(x74601,x74602,x74604))+~P107(f315(f315(f223(x74601),x74603),x74604))+~P107(f315(f315(f223(x74601),x74602),x74603))
% 201.34/201.10 [7522]~P110(x75221)+E(f315(f315(f99(f901(x75221,a891)),f294(x75221,x75222,x75223)),f315(f290(x75221,x75223),x75224)),f294(x75221,x75222,x75224))+~P107(f315(f315(f223(x75221),x75223),x75224))+~P107(f315(f315(f224(x75221),x75222),x75223))
% 201.34/201.10 [7539]~P110(x75391)+E(f315(f315(f99(f901(x75391,a891)),f291(x75391,x75392,x75393)),f294(x75391,x75393,x75394)),f315(f290(x75391,x75392),x75394))+~P107(f315(f315(f223(x75391),x75392),x75393))+~P107(f315(f315(f224(x75391),x75393),x75394))
% 201.34/201.10 [7570]~P110(x75701)+E(f315(f315(f99(f901(x75701,a891)),f291(x75701,x75702,x75703)),f293(x75701,x75703,x75704)),f291(x75701,x75702,x75704))+~P107(f315(f315(f223(x75701),x75703),x75704))+~P107(f315(f315(f223(x75701),x75702),x75703))
% 201.34/201.10 [7571]~P110(x75711)+E(f315(f315(f99(f901(x75711,a891)),f294(x75711,x75712,x75713)),f291(x75711,x75713,x75714)),f293(x75711,x75712,x75714))+~P107(f315(f315(f223(x75711),x75713),x75714))+~P107(f315(f315(f224(x75711),x75712),x75713))
% 201.34/201.10 [7572]~P110(x75721)+E(f315(f315(f99(f901(x75721,a891)),f293(x75721,x75722,x75723)),f294(x75721,x75723,x75724)),f294(x75721,x75722,x75724))+~P107(f315(f315(f223(x75721),x75722),x75723))+~P107(f315(f315(f224(x75721),x75723),x75724))
% 201.34/201.10 [7573]~P110(x75731)+E(f315(f315(f99(f901(x75731,a891)),f293(x75731,x75732,x75733)),f293(x75731,x75733,x75734)),f293(x75731,x75732,x75734))+~P107(f315(f315(f223(x75731),x75733),x75734))+~P107(f315(f315(f223(x75731),x75732),x75733))
% 201.34/201.10 [8359]P26(x83591,x83592,f504(x83593,x83592,x83594,x83591),x83594)+~P107(f315(f54(x83592),x83593))+~P107(f315(f54(x83591),x83594))+~P107(f315(f315(f223(a893),f315(f28(x83591),x83594)),f315(f28(x83592),x83593)))
% 201.34/201.10 [8380]P37(x83801,x83802,x83803)+~P107(f315(x83802,x83804))+P107(f315(x83802,f746(x83803,x83802,x83801,x83804)))+~P107(f315(f315(f317(x83801),x83804),f315(f161(x83801),x83803)))
% 201.34/201.10 [8381]P37(x83811,x83812,x83813)+~P107(f315(x83812,x83814))+P107(f315(x83812,f753(x83813,x83812,x83811,x83814)))+~P107(f315(f315(f317(x83811),x83814),f315(f161(x83811),x83813)))
% 201.34/201.10 [8435]~P72(x84351)+~E(f315(x84353,f797(x84353,x84354,x84352,x84351)),f71(x84351))+E(f315(f315(f315(f58(x84351,x84352,f74(x84351)),x84353),f71(x84351)),x84354),f71(x84351))+~P107(f315(f54(x84352),x84354))
% 201.34/201.10 [8702]~P112(x87021)+~P107(f315(f315(f223(x87021),f2(x87021)),x87023))+P107(f315(f315(f223(x87021),x87022),x87023))+~P107(f315(f315(f223(x87021),f315(f315(f232(x87021),x87022),f315(a101,x87024))),f315(f315(f232(x87021),x87023),f315(a101,x87024))))
% 201.34/201.10 [9021]P37(x90211,x90212,x90213)+~P107(f315(x90212,x90214))+~P107(f315(f315(f317(x90211),x90214),f315(f161(x90211),x90213)))+P107(f315(f315(f317(x90211),f746(x90213,x90212,x90211,x90214)),f315(f161(x90211),x90213)))
% 201.34/201.10 [9022]P37(x90221,x90222,x90223)+~P107(f315(x90222,x90224))+~P107(f315(f315(f317(x90221),x90224),f315(f161(x90221),x90223)))+P107(f315(f315(f317(x90221),f753(x90223,x90222,x90221,x90224)),f315(f161(x90221),x90223)))
% 201.34/201.10 [9098]~P72(x90981)+E(f315(f315(f315(f58(x90981,x90982,f74(x90981)),x90983),f71(x90981)),x90984),f71(x90981))+~P107(f315(f54(x90982),x90984))+P107(f315(f315(f317(x90982),f797(x90983,x90984,x90982,x90981)),x90984))
% 201.34/201.10 [9599]~P107(f315(f315(f275(a893),x95991),x95993))+~P107(f315(f315(f275(a893),x95991),x95992))+~P107(f315(f315(f275(a893),x95994),x95993))+~P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x95991,x95993)),f278(a893,f275(a893),x95992,x95994)))
% 201.34/201.10 [9604]~P107(f315(f315(f223(a1),x96044),f2(a1)))+P107(f315(f315(f223(a1),f315(f315(f73(a1),f315(f315(f74(a1),x96041),f38(a1,x96042,x96043))),x96044)),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x96043))+~P107(f315(f315(f224(a1),x96041),x96044))
% 201.34/201.10 [10037]~P107(f315(f54(x100371),x100372))+~P107(f315(f315(f317(x100371),x100374),x100372))+~P107(f315(f315(f317(x100371),x100373),x100372))+P107(f315(f315(f224(a893),f315(f28(x100371),f315(f315(f3(f901(x100371,a891)),f315(f315(f3(f901(x100371,a891)),x100372),f315(f315(f297(x100371),x100373),f177(f901(x100371,a891))))),f315(f315(f297(x100371),x100374),f177(f901(x100371,a891)))))),f315(f28(x100371),x100372)))
% 201.34/201.10 [6984]~P148(x69843)+~P123(x69843)+P107(f315(x69841,f836(x69842,x69841,x69843)))+~P107(f315(x69841,f315(f315(f74(x69843),x69842),x69844)))
% 201.34/201.10 [7042]~P103(x70421)+~P107(f315(f315(f223(x70421),x70422),x70424))+~P107(f315(f315(f223(x70421),x70422),x70423))+P107(f315(f315(f223(x70421),x70422),f315(f315(f90(x70421),x70423),x70424)))
% 201.34/201.10 [7045]~P110(x70451)+~P107(f315(f315(f223(x70451),x70452),x70454))+~P107(f315(f315(f223(x70451),x70452),x70453))+P107(f315(f315(f223(x70451),x70452),f315(f315(f221(x70451),x70453),x70454)))
% 201.34/201.10 [7046]~P110(x70461)+~P107(f315(f315(f224(x70461),x70462),x70464))+~P107(f315(f315(f224(x70461),x70462),x70463))+P107(f315(f315(f224(x70461),x70462),f315(f315(f221(x70461),x70463),x70464)))
% 201.34/201.10 [7047]~P115(x70471)+~P107(f315(f315(f275(x70471),x70472),x70474))+~P107(f315(f315(f275(x70471),x70472),x70473))+P107(f315(f315(f275(x70471),x70472),f315(f315(f3(x70471),x70473),x70474)))
% 201.34/201.10 [7048]~P113(x70481)+~P107(f315(f315(f275(x70481),x70482),x70484))+~P107(f315(f315(f275(x70481),x70482),x70483))+P107(f315(f315(f275(x70481),x70482),f315(f315(f73(x70481),x70483),x70484)))
% 201.34/201.10 [7068]~P66(x70682)+E(x70681,f2(x70682))+E(f315(f315(f279(x70682),f315(f315(f232(x70682),x70681),x70683)),f315(f315(f232(x70682),x70681),x70684)),f315(f315(f232(x70682),x70681),f315(f315(f3(a893),x70683),x70684)))+~P107(f315(f315(f223(a893),x70684),x70683))
% 201.34/201.10 [7115]~P110(x71151)+~P13(x71151,f315(f315(f140(x71151),x71153),x71154))+P13(x71151,f315(f315(f140(x71151),x71152),f315(f315(f140(x71151),x71153),x71154)))+~P107(f315(f315(f223(x71151),x71152),x71153))
% 201.34/201.10 [7152]~P91(x71521)+~P107(f315(f315(f223(x71521),f2(x71521)),x71524))+~P107(f315(f315(f223(x71521),x71522),x71523))+P107(f315(f315(f223(x71521),x71522),f315(f315(f73(x71521),x71523),x71524)))
% 201.34/201.10 [7153]~P91(x71531)+~P107(f315(f315(f223(x71531),f2(x71531)),x71533))+~P107(f315(f315(f223(x71531),x71532),x71534))+P107(f315(f315(f223(x71531),x71532),f315(f315(f73(x71531),x71533),x71534)))
% 201.34/201.10 [7154]~P112(x71541)+~P107(f315(f315(f224(x71541),f2(x71541)),x71543))+~P107(f315(f315(f224(x71541),x71542),x71544))+P107(f315(f315(f224(x71541),x71542),f315(f315(f73(x71541),x71543),x71544)))
% 201.34/201.10 [7155]~P91(x71551)+~P107(f315(f315(f223(x71551),x71552),x71554))+~P107(f315(f315(f224(x71551),f2(x71551)),x71553))+P107(f315(f315(f224(x71551),x71552),f315(f315(f73(x71551),x71553),x71554)))
% 201.34/201.10 [7156]~P91(x71561)+~P107(f315(f315(f223(x71561),f2(x71561)),x71563))+~P107(f315(f315(f224(x71561),x71562),x71564))+P107(f315(f315(f224(x71561),x71562),f315(f315(f73(x71561),x71563),x71564)))
% 201.34/201.10 [7197]~P110(x71971)+P107(f315(f315(f223(x71971),x71972),x71973))+P107(f315(f315(f223(x71971),x71972),x71974))+~P107(f315(f315(f223(x71971),x71972),f315(f315(f222(x71971),x71974),x71973)))
% 201.34/201.10 [7198]~P110(x71981)+P107(f315(f315(f224(x71981),x71982),x71983))+P107(f315(f315(f224(x71981),x71982),x71984))+~P107(f315(f315(f224(x71981),x71982),f315(f315(f222(x71981),x71984),x71983)))
% 201.34/201.10 [7494]~P111(x74942)+~P64(x74941)+~P107(f315(f315(f224(f901(x74941,x74942)),x74943),x74944))+P107(f315(f315(f223(f901(x74941,x74942)),x74943),x74944))
% 201.34/201.10 [7859]~P68(x78591)+~P107(f315(f315(f224(x78591),x78594),f2(x78591)))+~P107(f315(f315(f223(x78591),x78593),f315(f315(f279(x78591),x78592),x78594)))+P107(f315(f315(f223(x78591),x78592),f315(f315(f74(x78591),x78593),x78594)))
% 201.34/201.10 [7860]~P68(x78601)+~P107(f315(f315(f224(x78601),x78604),f2(x78601)))+~P107(f315(f315(f223(x78601),x78603),f315(f315(f74(x78601),x78602),x78604)))+P107(f315(f315(f223(x78601),x78602),f315(f315(f279(x78601),x78603),x78604)))
% 201.34/201.10 [7861]~P68(x78611)+~P107(f315(f315(f224(x78611),x78614),f2(x78611)))+~P107(f315(f315(f224(x78611),x78613),f315(f315(f279(x78611),x78612),x78614)))+P107(f315(f315(f224(x78611),x78612),f315(f315(f74(x78611),x78613),x78614)))
% 201.34/201.10 [7862]~P68(x78621)+~P107(f315(f315(f224(x78621),x78624),f2(x78621)))+~P107(f315(f315(f224(x78621),x78623),f315(f315(f74(x78621),x78622),x78624)))+P107(f315(f315(f224(x78621),x78622),f315(f315(f279(x78621),x78623),x78624)))
% 201.34/201.10 [7968]~P132(x79681)+~P107(f315(f315(f223(x79681),x79682),f2(x79681)))+~P107(f315(f315(f223(x79681),x79684),x79683))+P107(f315(f315(f223(x79681),f315(f315(f74(x79681),x79682),x79683)),f315(f315(f74(x79681),x79682),x79684)))
% 201.34/201.10 [7969]~P127(x79691)+~P107(f315(f315(f224(x79691),x79692),f2(x79691)))+~P107(f315(f315(f223(x79691),x79694),x79693))+P107(f315(f315(f223(x79691),f315(f315(f74(x79691),x79692),x79693)),f315(f315(f74(x79691),x79692),x79694)))
% 201.34/201.10 [7970]~P132(x79701)+~P107(f315(f315(f223(x79701),x79703),f2(x79701)))+~P107(f315(f315(f223(x79701),x79704),x79702))+P107(f315(f315(f223(x79701),f315(f315(f74(x79701),x79702),x79703)),f315(f315(f74(x79701),x79704),x79703)))
% 201.34/201.10 [7971]~P67(x79711)+~P107(f315(f315(f223(x79711),x79713),f2(x79711)))+~P107(f315(f315(f223(x79711),x79714),x79712))+P107(f315(f315(f223(x79711),f315(f315(f279(x79711),x79712),x79713)),f315(f315(f279(x79711),x79714),x79713)))
% 201.34/201.10 [7975]~P127(x79751)+~P107(f315(f315(f224(x79751),x79753),f2(x79751)))+~P107(f315(f315(f224(x79751),x79754),x79752))+P107(f315(f315(f224(x79751),f315(f315(f74(x79751),x79752),x79753)),f315(f315(f74(x79751),x79754),x79753)))
% 201.34/201.10 [7976]~P127(x79761)+~P107(f315(f315(f224(x79761),x79762),f2(x79761)))+~P107(f315(f315(f224(x79761),x79764),x79763))+P107(f315(f315(f224(x79761),f315(f315(f74(x79761),x79762),x79763)),f315(f315(f74(x79761),x79762),x79764)))
% 201.34/201.10 [7977]~P68(x79771)+~P107(f315(f315(f224(x79771),x79773),f2(x79771)))+~P107(f315(f315(f224(x79771),x79774),x79772))+P107(f315(f315(f224(x79771),f315(f315(f279(x79771),x79772),x79773)),f315(f315(f279(x79771),x79774),x79773)))
% 201.34/201.10 [7978]~P112(x79781)+~P107(f315(f315(f224(x79781),f71(x79781)),x79782))+~P107(f315(f315(f223(a893),x79783),x79784))+P107(f315(f315(f223(x79781),f315(f315(f232(x79781),x79782),x79783)),f315(f315(f232(x79781),x79782),x79784)))
% 201.34/201.10 [7979]~P112(x79791)+~P107(f315(f315(f223(x79791),f71(x79791)),x79792))+~P107(f315(f315(f223(a893),x79793),x79794))+P107(f315(f315(f223(x79791),f315(f315(f232(x79791),x79792),x79793)),f315(f315(f232(x79791),x79792),x79794)))
% 201.34/201.10 [7981]~P112(x79811)+~P107(f315(f315(f224(x79811),f71(x79811)),x79812))+~P107(f315(f315(f224(a893),x79813),x79814))+P107(f315(f315(f224(x79811),f315(f315(f232(x79811),x79812),x79813)),f315(f315(f232(x79811),x79812),x79814)))
% 201.34/201.10 [8008]P107(f315(f315(f224(a893),f2(a893)),f315(x80081,x80082)))+~P107(f315(f54(x80083),x80084))+~P107(f315(f315(f317(x80083),x80082),x80084))+~P107(f315(f315(f224(a893),f2(a893)),f315(f315(f11(x80083,a893),x80081),x80084)))
% 201.34/201.10 [8017]~P141(x80171)+~P107(f315(f315(f223(x80171),x80173),x80174))+~P107(f315(f315(f223(x80171),f2(x80171)),x80172))+P107(f315(f315(f223(x80171),f315(f315(f74(x80171),x80172),x80173)),f315(f315(f74(x80171),x80172),x80174)))
% 201.34/201.10 [8018]~P140(x80181)+~P107(f315(f315(f223(x80181),x80183),x80184))+~P107(f315(f315(f223(x80181),f2(x80181)),x80182))+P107(f315(f315(f223(x80181),f315(f315(f74(x80181),x80182),x80183)),f315(f315(f74(x80181),x80182),x80184)))
% 201.34/201.10 [8019]~P127(x80191)+~P107(f315(f315(f224(x80191),f2(x80191)),x80192))+~P107(f315(f315(f223(x80191),x80193),x80194))+P107(f315(f315(f223(x80191),f315(f315(f74(x80191),x80192),x80193)),f315(f315(f74(x80191),x80192),x80194)))
% 201.34/201.10 [8020]~P141(x80201)+~P107(f315(f315(f223(x80201),x80202),x80204))+~P107(f315(f315(f223(x80201),f2(x80201)),x80203))+P107(f315(f315(f223(x80201),f315(f315(f74(x80201),x80202),x80203)),f315(f315(f74(x80201),x80204),x80203)))
% 201.34/201.10 [8021]~P67(x80211)+~P107(f315(f315(f223(x80211),x80212),x80214))+~P107(f315(f315(f223(x80211),f2(x80211)),x80213))+P107(f315(f315(f223(x80211),f315(f315(f279(x80211),x80212),x80213)),f315(f315(f279(x80211),x80214),x80213)))
% 201.34/201.10 [8022]~P112(x80221)+~P107(f315(f315(f223(x80221),x80222),x80224))+~P107(f315(f315(f223(x80221),f2(x80221)),x80222))+P107(f315(f315(f223(x80221),f315(f315(f232(x80221),x80222),x80223)),f315(f315(f232(x80221),x80224),x80223)))
% 201.34/201.10 [8024]~P138(x80241)+~P107(f315(f315(f224(x80241),x80243),x80244))+~P107(f315(f315(f224(x80241),f2(x80241)),x80242))+P107(f315(f315(f224(x80241),f315(f315(f74(x80241),x80242),x80243)),f315(f315(f74(x80241),x80242),x80244)))
% 201.34/201.10 [8025]~P121(x80251)+~P107(f315(f315(f224(x80251),x80253),x80254))+~P107(f315(f315(f224(x80251),f2(x80251)),x80252))+P107(f315(f315(f224(x80251),f315(f315(f74(x80251),x80252),x80253)),f315(f315(f74(x80251),x80252),x80254)))
% 201.34/201.10 [8026]~P127(x80261)+~P107(f315(f315(f224(x80261),x80262),x80264))+~P107(f315(f315(f224(x80261),f2(x80261)),x80263))+P107(f315(f315(f224(x80261),f315(f315(f74(x80261),x80262),x80263)),f315(f315(f74(x80261),x80264),x80263)))
% 201.34/201.10 [8027]~P138(x80271)+~P107(f315(f315(f224(x80271),x80272),x80274))+~P107(f315(f315(f224(x80271),f2(x80271)),x80273))+P107(f315(f315(f224(x80271),f315(f315(f74(x80271),x80272),x80273)),f315(f315(f74(x80271),x80274),x80273)))
% 201.34/201.10 [8028]~P127(x80281)+~P107(f315(f315(f224(x80281),x80283),x80284))+~P107(f315(f315(f224(x80281),f2(x80281)),x80282))+P107(f315(f315(f224(x80281),f315(f315(f74(x80281),x80282),x80283)),f315(f315(f74(x80281),x80282),x80284)))
% 201.34/201.10 [8029]~P68(x80291)+~P107(f315(f315(f224(x80291),x80292),x80294))+~P107(f315(f315(f224(x80291),f2(x80291)),x80293))+P107(f315(f315(f224(x80291),f315(f315(f279(x80291),x80292),x80293)),f315(f315(f279(x80291),x80294),x80293)))
% 201.34/201.10 [8071]~P109(x80712)+P107(f315(f315(f224(f901(x80711,x80712)),x80714),x80713))+~P107(f315(f315(f223(f901(x80711,x80712)),x80714),x80713))+P107(f315(f315(f223(f901(x80711,x80712)),x80713),x80714))
% 201.34/201.10 [8111]P107(f315(f315(f317(x81111),x81112),x81113))+P107(f315(f315(f317(x81111),x81112),x81114))+~P107(f315(f315(f223(f901(x81111,a891)),x81114),x81113))+P107(f315(f315(f224(f901(x81111,a891)),x81114),f315(f315(f297(x81111),x81112),x81113)))
% 201.34/201.10 [8222]~P122(x82222)+E(x82221,f2(x82222))+P107(f315(f315(f275(x82222),x82223),x82224))+~P107(f315(f315(f275(x82222),f315(f315(f74(x82222),x82223),x82221)),f315(f315(f74(x82222),x82224),x82221)))
% 201.34/201.10 [8223]~P122(x82232)+E(x82231,f2(x82232))+P107(f315(f315(f275(x82232),x82233),x82234))+~P107(f315(f315(f275(x82232),f315(f315(f74(x82232),x82231),x82233)),f315(f315(f74(x82232),x82231),x82234)))
% 201.34/201.10 [8272]P107(f315(f315(f317(x82721),x82722),x82723))+P107(f315(f315(f317(x82721),x82722),x82724))+~P107(f315(f315(f224(f901(x82721,a891)),x82724),f315(f315(f297(x82721),x82722),x82723)))+P107(f315(f315(f223(f901(x82721,a891)),x82724),x82723))
% 201.34/201.10 [8337]~P127(x83371)+P107(f315(f315(f224(x83371),x83373),x83372))+P107(f315(f315(f224(x83371),x83372),x83373))+~P107(f315(f315(f224(x83371),f315(f315(f74(x83371),x83374),x83372)),f315(f315(f74(x83371),x83374),x83373)))
% 201.34/201.10 [8338]~P127(x83381)+P107(f315(f315(f224(x83381),x83383),x83382))+P107(f315(f315(f224(x83381),x83382),x83383))+~P107(f315(f315(f224(x83381),f315(f315(f74(x83381),x83382),x83384)),f315(f315(f74(x83381),x83383),x83384)))
% 201.34/201.10 [8349]~P127(x83491)+P107(f315(f315(f224(x83491),x83494),f2(x83491)))+P107(f315(f315(f224(x83491),x83492),x83493))+~P107(f315(f315(f224(x83491),f315(f315(f74(x83491),x83492),x83494)),f315(f315(f74(x83491),x83493),x83494)))
% 201.34/201.10 [8350]~P127(x83501)+P107(f315(f315(f224(x83501),x83504),f2(x83501)))+P107(f315(f315(f224(x83501),x83502),x83503))+~P107(f315(f315(f224(x83501),f315(f315(f74(x83501),x83504),x83502)),f315(f315(f74(x83501),x83504),x83503)))
% 201.34/201.10 [8353]~P127(x83531)+P107(f315(f315(f224(x83531),x83532),x83533))+P107(f315(f315(f224(x83531),f2(x83531)),x83534))+~P107(f315(f315(f224(x83531),f315(f315(f74(x83531),x83534),x83533)),f315(f315(f74(x83531),x83534),x83532)))
% 201.34/201.10 [8354]~P127(x83541)+P107(f315(f315(f224(x83541),x83542),x83543))+P107(f315(f315(f224(x83541),f2(x83541)),x83544))+~P107(f315(f315(f224(x83541),f315(f315(f74(x83541),x83543),x83544)),f315(f315(f74(x83541),x83542),x83544)))
% 201.34/201.10 [8367]~P127(x83671)+P107(f315(f315(f224(x83671),x83672),f2(x83671)))+P107(f315(f315(f224(x83671),f2(x83671)),x83672))+~P107(f315(f315(f224(x83671),f315(f315(f74(x83671),x83673),x83672)),f315(f315(f74(x83671),x83674),x83672)))
% 201.34/201.10 [8368]~P127(x83681)+P107(f315(f315(f224(x83681),x83682),f2(x83681)))+P107(f315(f315(f224(x83681),f2(x83681)),x83682))+~P107(f315(f315(f224(x83681),f315(f315(f74(x83681),x83682),x83683)),f315(f315(f74(x83681),x83682),x83684)))
% 201.34/201.10 [8397]~P127(x83971)+~P107(f315(f315(f224(x83971),x83974),f2(x83971)))+P107(f315(f315(f223(x83971),x83972),x83973))+~P107(f315(f315(f223(x83971),f315(f315(f74(x83971),x83974),x83973)),f315(f315(f74(x83971),x83974),x83972)))
% 201.34/201.10 [8398]~P127(x83981)+~P107(f315(f315(f224(x83981),x83984),f2(x83981)))+P107(f315(f315(f224(x83981),x83982),x83983))+~P107(f315(f315(f224(x83981),f315(f315(f74(x83981),x83984),x83983)),f315(f315(f74(x83981),x83984),x83982)))
% 201.34/201.10 [8409]~P112(x84093)+~P107(f315(f315(f224(x84093),f71(x84093)),x84094))+P107(f315(f315(f223(a893),x84091),x84092))+~P107(f315(f315(f223(x84093),f315(f315(f232(x84093),x84094),x84091)),f315(f315(f232(x84093),x84094),x84092)))
% 201.34/201.10 [8411]~P112(x84113)+~P107(f315(f315(f224(x84113),f71(x84113)),x84114))+P107(f315(f315(f224(a893),x84111),x84112))+~P107(f315(f315(f224(x84113),f315(f315(f232(x84113),x84114),x84111)),f315(f315(f232(x84113),x84114),x84112)))
% 201.34/201.10 [8421]~P127(x84211)+P107(f315(f315(f223(x84211),x84212),x84213))+~P107(f315(f315(f224(x84211),f2(x84211)),x84214))+~P107(f315(f315(f223(x84211),f315(f315(f74(x84211),x84214),x84212)),f315(f315(f74(x84211),x84214),x84213)))
% 201.34/201.10 [8422]~P138(x84221)+P107(f315(f315(f223(x84221),x84222),x84223))+~P107(f315(f315(f224(x84221),f2(x84221)),x84224))+~P107(f315(f315(f223(x84221),f315(f315(f74(x84221),x84224),x84222)),f315(f315(f74(x84221),x84224),x84223)))
% 201.34/201.10 [8423]~P138(x84231)+P107(f315(f315(f223(x84231),x84232),x84233))+~P107(f315(f315(f224(x84231),f2(x84231)),x84234))+~P107(f315(f315(f223(x84231),f315(f315(f74(x84231),x84232),x84234)),f315(f315(f74(x84231),x84233),x84234)))
% 201.34/201.10 [8424]~P127(x84241)+P107(f315(f315(f224(x84241),x84242),x84243))+~P107(f315(f315(f224(x84241),f2(x84241)),x84244))+~P107(f315(f315(f224(x84241),f315(f315(f74(x84241),x84244),x84242)),f315(f315(f74(x84241),x84244),x84243)))
% 201.34/201.10 [8425]~P138(x84251)+P107(f315(f315(f224(x84251),x84252),x84253))+~P107(f315(f315(f223(x84251),f2(x84251)),x84254))+~P107(f315(f315(f224(x84251),f315(f315(f74(x84251),x84254),x84252)),f315(f315(f74(x84251),x84254),x84253)))
% 201.34/201.10 [8426]~P134(x84261)+P107(f315(f315(f224(x84261),x84262),x84263))+~P107(f315(f315(f223(x84261),f2(x84261)),x84264))+~P107(f315(f315(f224(x84261),f315(f315(f74(x84261),x84264),x84262)),f315(f315(f74(x84261),x84264),x84263)))
% 201.34/201.10 [8427]~P112(x84271)+~P107(f315(f315(f223(x84271),f2(x84271)),x84273))+P107(f315(f315(f224(x84271),x84272),x84273))+~P107(f315(f315(f224(x84271),f315(f315(f232(x84271),x84272),x84274)),f315(f315(f232(x84271),x84273),x84274)))
% 201.34/201.10 [8428]~P138(x84281)+P107(f315(f315(f224(x84281),x84282),x84283))+~P107(f315(f315(f223(x84281),f2(x84281)),x84284))+~P107(f315(f315(f224(x84281),f315(f315(f74(x84281),x84282),x84284)),f315(f315(f74(x84281),x84283),x84284)))
% 201.34/201.10 [8429]~P134(x84291)+P107(f315(f315(f224(x84291),x84292),x84293))+~P107(f315(f315(f223(x84291),f2(x84291)),x84294))+~P107(f315(f315(f224(x84291),f315(f315(f74(x84291),x84292),x84294)),f315(f315(f74(x84291),x84293),x84294)))
% 201.34/201.10 [8473]P107(f315(f315(f317(x84731),x84732),x84733))+~P107(f315(f315(f223(f901(x84731,a891)),x84733),x84734))+~P107(f315(f315(f224(f901(x84731,a891)),x84733),x84734))+P107(f315(f315(f224(f901(x84731,a891)),x84733),f315(f315(f297(x84731),x84732),x84734)))
% 201.34/201.10 [8505]~P148(x85051)+~P123(x85051)+P107(f315(f315(f275(x85051),x85052),f315(f315(f73(x85051),f836(x85052,x85053,x85051)),f2(x85051))))+~P107(f315(x85053,f315(f315(f74(x85051),x85052),x85054)))
% 201.34/201.10 [8853]E(f315(f315(f3(a1),f414(x88531,x88532,x88533,x88534)),f409(x88531,x88532,x88533,x88534)),x88534)+~P107(f315(f315(f224(a1),f2(a1)),x88533))+~P107(f315(f315(f223(a1),x88531),x88534))+P107(f315(f315(f223(a1),x88531),f315(f315(f73(a1),x88534),x88533)))
% 201.34/201.10 [8854]E(f315(f315(f3(a1),f439(x88541,x88542,x88543,x88544)),f440(x88541,x88542,x88543,x88544)),x88544)+~P107(f315(f315(f224(a1),f2(a1)),x88543))+~P107(f315(f315(f224(a1),x88541),x88544))+P107(f315(f315(f224(a1),x88541),f315(f315(f73(a1),x88544),x88543)))
% 201.34/201.10 [9004]~E(f315(f315(f153(x90041),x90043),f656(x90044,x90043,x90041,x90042)),f315(f315(f153(x90041),x90044),f656(x90044,x90043,x90041,x90042)))+E(f315(f315(f164(x90041),x90042),x90043),f315(f315(f164(x90041),x90042),x90044))+~P107(f315(f315(f223(a893),x90042),f315(f178(f894(x90041)),x90043)))+~P107(f315(f315(f223(a893),x90042),f315(f178(f894(x90041)),x90044)))
% 201.34/201.10 [9066]~P107(f315(f315(f224(a1),f2(a1)),x90663))+~P107(f315(f315(f223(a1),x90661),x90664))+P107(f315(f315(f317(a1),f414(x90661,x90662,x90663,x90664)),x90662))+P107(f315(f315(f223(a1),x90661),f315(f315(f73(a1),x90664),x90663)))
% 201.34/201.10 [9067]~P107(f315(f315(f224(a1),f2(a1)),x90673))+~P107(f315(f315(f224(a1),x90671),x90674))+P107(f315(f315(f317(a1),f439(x90671,x90672,x90673,x90674)),x90672))+P107(f315(f315(f224(a1),x90671),f315(f315(f73(a1),x90674),x90673)))
% 201.34/201.10 [9107]~P103(x91071)+~P107(f315(f54(x91071),x91073))+~P107(f315(f315(f317(x91071),x91074),x91073))+P107(f315(f315(f223(x91071),f315(f315(f57(x91071,x91071,f90(x91071)),x91072),x91073)),f315(f315(f90(x91071),x91074),x91072)))
% 201.34/201.10 [9108]~P110(x91081)+~P107(f315(f54(x91081),x91083))+~P107(f315(f315(f317(x91081),x91084),x91083))+P107(f315(f315(f223(x91081),f315(f315(f57(x91081,x91081,f221(x91081)),x91082),x91083)),f315(f315(f221(x91081),x91084),x91082)))
% 201.34/201.10 [9152]E(f315(f315(f164(x91521),x91522),x91523),f315(f315(f164(x91521),x91522),x91524))+P107(f315(f315(f224(a893),f656(x91523,x91524,x91521,x91522)),x91522))+~P107(f315(f315(f223(a893),x91522),f315(f178(f894(x91521)),x91523)))+~P107(f315(f315(f223(a893),x91522),f315(f178(f894(x91521)),x91524)))
% 201.34/201.10 [9157]~P107(f315(f315(f224(a1),f2(a1)),x91573))+~P107(f315(f315(f223(a1),x91571),x91572))+P107(f315(f315(f317(a1),f409(x91571,x91574,x91573,x91572)),f291(a1,f71(a1),x91573)))+P107(f315(f315(f223(a1),x91571),f315(f315(f73(a1),x91572),x91573)))
% 201.34/201.10 [9158]~P107(f315(f315(f224(a1),f2(a1)),x91583))+~P107(f315(f315(f224(a1),x91581),x91582))+P107(f315(f315(f317(a1),f440(x91581,x91584,x91583,x91582)),f291(a1,f71(a1),x91583)))+P107(f315(f315(f224(a1),x91581),f315(f315(f73(a1),x91582),x91583)))
% 201.34/201.10 [9483]~P2(x94831)+~P107(f315(f54(x94831),x94834))+P107(f315(f315(f317(x94831),f878(x94832,x94833,x94834,x94831)),x94834))+P107(f315(f315(f223(x94831),f315(f315(f57(x94831,x94831,f99(x94831)),x94832),x94834)),f315(f315(f99(x94831),x94833),x94832)))
% 201.34/201.10 [9484]~P110(x94841)+~P107(f315(f54(x94841),x94844))+P107(f315(f315(f317(x94841),f585(x94842,x94843,x94844,x94841)),x94844))+P107(f315(f315(f223(x94841),f315(f315(f57(x94841,x94841,f222(x94841)),x94842),x94844)),f315(f315(f222(x94841),x94843),x94842)))
% 201.34/201.10 [9620]~P2(x96201)+~P107(f315(f54(x96201),x96203))+~P107(f315(f315(f223(x96201),f878(x96202,x96204,x96203,x96201)),x96204))+P107(f315(f315(f223(x96201),f315(f315(f57(x96201,x96201,f99(x96201)),x96202),x96203)),f315(f315(f99(x96201),x96204),x96202)))
% 201.34/201.10 [9621]~P110(x96211)+~P107(f315(f54(x96211),x96213))+~P107(f315(f315(f223(x96211),f585(x96212,x96214,x96213,x96211)),x96214))+P107(f315(f315(f223(x96211),f315(f315(f57(x96211,x96211,f222(x96211)),x96212),x96213)),f315(f315(f222(x96211),x96214),x96212)))
% 201.34/201.10 [9623]~P107(f315(f315(f223(a1),f2(a1)),x96234))+~P107(f315(f315(f224(a1),f2(a1)),x96233))+~P107(f315(f315(f224(a1),x96234),x96231))+P107(f315(f315(f224(a1),f315(f315(f73(a1),f315(f315(f74(a1),x96231),f38(a1,x96232,x96233))),x96234)),f315(f315(f74(a1),x96231),x96233)))
% 201.34/201.10 [10009]E(x100091,x100092)+P107(f315(f315(f317(f900(f894(x100093),f894(x100093))),f315(f315(f240(f894(x100093),f894(x100093)),x100092),x100091)),f136(x100093,x100094)))+P107(f315(f315(f317(f900(f894(x100093),f894(x100093))),f315(f315(f240(f894(x100093),f894(x100093)),x100091),x100092)),f136(x100093,x100094)))+~P107(f315(f315(f317(f900(x100093,x100093)),f315(f315(f240(x100093,x100093),f635(x100091,x100092,x100094,x100093)),f636(x100091,x100092,x100094,x100093))),x100094))
% 201.34/201.10 [10010]E(x100101,x100102)+P107(f315(f315(f317(f900(f894(x100103),f894(x100103))),f315(f315(f240(f894(x100103),f894(x100103)),x100102),x100101)),f136(x100103,x100104)))+P107(f315(f315(f317(f900(f894(x100103),f894(x100103))),f315(f315(f240(f894(x100103),f894(x100103)),x100101),x100102)),f136(x100103,x100104)))+~P107(f315(f315(f317(f900(x100103,x100103)),f315(f315(f240(x100103,x100103),f636(x100101,x100102,x100104,x100103)),f635(x100101,x100102,x100104,x100103))),x100104))
% 201.34/201.10 [7561]~P2(x75611)+~P107(f315(f315(f223(x75611),x75613),x75614))+~P107(f315(f315(f223(x75611),x75612),x75614))+P107(f315(f315(f223(x75611),f315(f315(f99(x75611),x75612),x75613)),x75614))
% 201.34/201.10 [7564]~P110(x75641)+~P107(f315(f315(f223(x75641),x75643),x75644))+~P107(f315(f315(f223(x75641),x75642),x75644))+P107(f315(f315(f223(x75641),f315(f315(f222(x75641),x75642),x75643)),x75644))
% 201.34/201.10 [7565]~P110(x75651)+~P107(f315(f315(f224(x75651),x75653),x75654))+~P107(f315(f315(f224(x75651),x75652),x75654))+P107(f315(f315(f224(x75651),f315(f315(f222(x75651),x75652),x75653)),x75654))
% 201.34/201.10 [7802]~P62(x78021)+E(f315(f315(f73(x78021),f315(f315(f29(x78021),x78022),x78023)),f315(f315(f29(x78021),x78024),x78023)),f315(f315(f29(x78021),f315(f315(f73(x78021),x78022),x78024)),x78023))+~P107(f315(f315(f275(x78021),x78023),x78024))+~P107(f315(f315(f275(x78021),x78023),x78022))
% 201.34/201.10 [7884]~E(x78841,x78843)+E(f128(a893,f315(f290(a893,x78841),x78842)),f315(f315(f140(a893),x78843),x78844))+~E(f128(a893,f315(f290(a893,f315(f315(f73(a893),x78841),f71(a893))),x78842)),x78844)+~P107(f315(f315(f224(a893),x78841),x78842))
% 201.34/201.10 [7892]~P110(x78921)+P107(f315(f315(f223(x78921),x78922),x78923))+P107(f315(f315(f223(x78921),x78924),x78923))+~P107(f315(f315(f223(x78921),f315(f315(f221(x78921),x78924),x78922)),x78923))
% 201.34/201.10 [7893]~P110(x78931)+P107(f315(f315(f224(x78931),x78932),x78933))+P107(f315(f315(f224(x78931),x78934),x78933))+~P107(f315(f315(f224(x78931),f315(f315(f221(x78931),x78934),x78932)),x78933))
% 201.34/201.10 [8169]~P67(x81691)+~P107(f315(f315(f224(x81691),f2(x81691)),x81693))+~P107(f315(f315(f223(x81691),x81692),f315(f315(f279(x81691),x81694),x81693)))+P107(f315(f315(f223(x81691),f315(f315(f74(x81691),x81692),x81693)),x81694))
% 201.34/201.10 [8170]~P68(x81701)+~P107(f315(f315(f224(x81701),f2(x81701)),x81703))+~P107(f315(f315(f223(x81701),x81702),f315(f315(f279(x81701),x81704),x81703)))+P107(f315(f315(f223(x81701),f315(f315(f74(x81701),x81702),x81703)),x81704))
% 201.34/201.10 [8171]~P67(x81711)+~P107(f315(f315(f224(x81711),f2(x81711)),x81713))+~P107(f315(f315(f223(x81711),x81712),f315(f315(f74(x81711),x81714),x81713)))+P107(f315(f315(f223(x81711),f315(f315(f279(x81711),x81712),x81713)),x81714))
% 201.34/201.10 [8173]~P68(x81731)+~P107(f315(f315(f224(x81731),f2(x81731)),x81733))+~P107(f315(f315(f223(x81731),x81732),f315(f315(f74(x81731),x81734),x81733)))+P107(f315(f315(f223(x81731),f315(f315(f279(x81731),x81732),x81733)),x81734))
% 201.34/201.10 [8174]~P67(x81741)+~P107(f315(f315(f224(x81741),f2(x81741)),x81743))+~P107(f315(f315(f224(x81741),x81742),f315(f315(f279(x81741),x81744),x81743)))+P107(f315(f315(f224(x81741),f315(f315(f74(x81741),x81742),x81743)),x81744))
% 201.34/201.10 [8175]~P68(x81751)+~P107(f315(f315(f224(x81751),f2(x81751)),x81753))+~P107(f315(f315(f224(x81751),x81752),f315(f315(f279(x81751),x81754),x81753)))+P107(f315(f315(f224(x81751),f315(f315(f74(x81751),x81752),x81753)),x81754))
% 201.34/201.10 [8176]~P67(x81761)+~P107(f315(f315(f224(x81761),f2(x81761)),x81763))+~P107(f315(f315(f224(x81761),x81762),f315(f315(f74(x81761),x81764),x81763)))+P107(f315(f315(f224(x81761),f315(f315(f279(x81761),x81762),x81763)),x81764))
% 201.34/201.10 [8178]~P68(x81781)+~P107(f315(f315(f224(x81781),f2(x81781)),x81783))+~P107(f315(f315(f224(x81781),x81782),f315(f315(f74(x81781),x81784),x81783)))+P107(f315(f315(f224(x81781),f315(f315(f279(x81781),x81782),x81783)),x81784))
% 201.34/201.10 [8307]~P67(x83071)+~P107(f315(f315(f224(x83071),f2(x83071)),x83074))+P107(f315(f315(f223(x83071),x83072),f315(f315(f74(x83071),x83073),x83074)))+~P107(f315(f315(f223(x83071),f315(f315(f279(x83071),x83072),x83074)),x83073))
% 201.34/201.10 [8308]~P67(x83081)+~P107(f315(f315(f224(x83081),f2(x83081)),x83084))+P107(f315(f315(f223(x83081),x83082),f315(f315(f279(x83081),x83083),x83084)))+~P107(f315(f315(f223(x83081),f315(f315(f74(x83081),x83082),x83084)),x83083))
% 201.34/201.10 [8310]~P68(x83101)+~P107(f315(f315(f224(x83101),f2(x83101)),x83104))+P107(f315(f315(f223(x83101),x83102),f315(f315(f74(x83101),x83103),x83104)))+~P107(f315(f315(f223(x83101),f315(f315(f279(x83101),x83102),x83104)),x83103))
% 201.34/201.10 [8311]~P68(x83111)+~P107(f315(f315(f224(x83111),f2(x83111)),x83114))+P107(f315(f315(f223(x83111),x83112),f315(f315(f279(x83111),x83113),x83114)))+~P107(f315(f315(f223(x83111),f315(f315(f74(x83111),x83112),x83114)),x83113))
% 201.34/201.10 [8312]~P67(x83121)+~P107(f315(f315(f224(x83121),f2(x83121)),x83124))+P107(f315(f315(f224(x83121),x83122),f315(f315(f74(x83121),x83123),x83124)))+~P107(f315(f315(f224(x83121),f315(f315(f279(x83121),x83122),x83124)),x83123))
% 201.34/201.10 [8313]~P67(x83131)+~P107(f315(f315(f224(x83131),f2(x83131)),x83134))+P107(f315(f315(f224(x83131),x83132),f315(f315(f279(x83131),x83133),x83134)))+~P107(f315(f315(f224(x83131),f315(f315(f74(x83131),x83132),x83134)),x83133))
% 201.34/201.10 [8315]~P68(x83151)+~P107(f315(f315(f224(x83151),f2(x83151)),x83154))+P107(f315(f315(f224(x83151),x83152),f315(f315(f74(x83151),x83153),x83154)))+~P107(f315(f315(f224(x83151),f315(f315(f279(x83151),x83152),x83154)),x83153))
% 201.34/201.10 [8316]~P68(x83161)+~P107(f315(f315(f224(x83161),f2(x83161)),x83164))+P107(f315(f315(f224(x83161),x83162),f315(f315(f279(x83161),x83163),x83164)))+~P107(f315(f315(f224(x83161),f315(f315(f74(x83161),x83162),x83164)),x83163))
% 201.34/201.10 [8476]~P68(x84761)+~P107(f315(f315(f224(x84761),x84763),f2(x84761)))+~P107(f315(f315(f223(x84761),f315(f315(f279(x84761),x84764),x84763)),x84762))+P107(f315(f315(f223(x84761),f315(f315(f74(x84761),x84762),x84763)),x84764))
% 201.34/201.10 [8477]~P68(x84771)+~P107(f315(f315(f224(x84771),x84773),f2(x84771)))+~P107(f315(f315(f223(x84771),f315(f315(f74(x84771),x84774),x84773)),x84772))+P107(f315(f315(f223(x84771),f315(f315(f279(x84771),x84772),x84773)),x84774))
% 201.34/201.10 [8478]~P68(x84781)+~P107(f315(f315(f224(x84781),x84783),f2(x84781)))+~P107(f315(f315(f224(x84781),f315(f315(f279(x84781),x84784),x84783)),x84782))+P107(f315(f315(f224(x84781),f315(f315(f74(x84781),x84782),x84783)),x84784))
% 201.34/201.10 [8479]~P68(x84791)+~P107(f315(f315(f224(x84791),x84793),f2(x84791)))+~P107(f315(f315(f224(x84791),f315(f315(f74(x84791),x84794),x84793)),x84792))+P107(f315(f315(f224(x84791),f315(f315(f279(x84791),x84792),x84793)),x84794))
% 201.34/201.10 [8491]~P107(f315(x84911,x84914))+~P107(f315(f315(f224(a893),x84912),f315(f315(f74(a893),x84913),f315(a101,x84914))))+P107(f315(x84911,f315(f315(f29(a893),x84912),x84913)))+~P107(f315(f315(f223(a893),f315(f315(f74(a893),x84913),x84914)),x84912))
% 201.34/201.10 [8700]~P2(x87001)+~P107(f315(f54(x87001),x87004))+~P107(f315(f315(f317(x87001),x87002),x87004))+P107(f315(f315(f223(x87001),f315(f315(f99(x87001),x87002),x87003)),f315(f315(f57(x87001,x87001,f99(x87001)),x87003),x87004)))
% 201.34/201.10 [8701]~P110(x87011)+~P107(f315(f54(x87011),x87014))+~P107(f315(f315(f317(x87011),x87012),x87014))+P107(f315(f315(f223(x87011),f315(f315(f222(x87011),x87012),x87013)),f315(f315(f57(x87011,x87011,f222(x87011)),x87013),x87014)))
% 201.34/201.10 [8855]~P107(f315(f54(x88551),x88552))+E(f315(f28(x88551),f315(f315(f3(f901(x88551,a891)),x88552),f315(f315(f297(x88551),x88553),x88554))),f315(f315(f3(a893),f315(f28(x88551),f315(f315(f3(f901(x88551,a891)),x88552),x88554))),f71(a893)))+P107(f315(f315(f317(x88551),x88553),x88554))+~P107(f315(f315(f317(x88551),x88553),x88552))
% 201.34/201.10 [8932]E(f315(f315(f73(a1),f428(x89321,x89322,x89323,x89324)),f429(x89321,x89322,x89323,x89324)),x89324)+~P107(f315(f315(f224(a1),f2(a1)),x89323))+~P107(f315(f315(f223(a1),x89324),x89321))+P107(f315(f315(f223(a1),f315(f315(f3(a1),x89324),x89323)),x89321))
% 201.34/201.10 [8933]E(f315(f315(f73(a1),f441(x89331,x89332,x89333,x89334)),f442(x89331,x89332,x89333,x89334)),x89334)+~P107(f315(f315(f224(a1),f2(a1)),x89333))+~P107(f315(f315(f224(a1),x89334),x89331))+P107(f315(f315(f224(a1),f315(f315(f3(a1),x89334),x89333)),x89331))
% 201.34/201.10 [9137]~P107(f315(f315(f224(a1),f2(a1)),x91373))+~P107(f315(f315(f223(a1),x91374),x91371))+P107(f315(f315(f317(a1),f428(x91371,x91372,x91373,x91374)),x91372))+P107(f315(f315(f223(a1),f315(f315(f3(a1),x91374),x91373)),x91371))
% 201.34/201.10 [9138]~P107(f315(f315(f224(a1),f2(a1)),x91383))+~P107(f315(f315(f224(a1),x91384),x91381))+P107(f315(f315(f317(a1),f441(x91381,x91382,x91383,x91384)),x91382))+P107(f315(f315(f224(a1),f315(f315(f3(a1),x91384),x91383)),x91381))
% 201.34/201.10 [9224]~P107(f315(f315(f224(a1),f2(a1)),x92242))+~P107(f315(f315(f223(a1),x92241),x92243))+P107(f315(f315(f317(a1),f429(x92243,x92244,x92242,x92241)),f291(a1,f71(a1),x92242)))+P107(f315(f315(f223(a1),f315(f315(f3(a1),x92241),x92242)),x92243))
% 201.34/201.10 [9225]~P107(f315(f315(f224(a1),f2(a1)),x92252))+~P107(f315(f315(f224(a1),x92251),x92253))+P107(f315(f315(f317(a1),f442(x92253,x92254,x92252,x92251)),f291(a1,f71(a1),x92252)))+P107(f315(f315(f224(a1),f315(f315(f3(a1),x92251),x92252)),x92253))
% 201.34/201.10 [9243]~P107(f315(f315(f223(a1),f2(a1)),x92434))+~P107(f315(f315(f224(a1),f2(a1)),x92433))+~P107(f315(f315(f224(a1),x92434),x92431))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),f315(f315(f74(a1),x92431),f38(a1,x92432,x92433))),x92434)))
% 201.34/201.10 [9272]E(x92721,x92722)+~P41(x92723,x92724)+~P107(f315(f315(f317(f900(x92723,x92723)),f315(f315(f240(x92723,x92723),x92722),x92721)),x92724))+~P107(f315(f315(f317(f900(x92723,x92723)),f315(f315(f240(x92723,x92723),x92721),x92722)),x92724))
% 201.34/201.10 [9305]~P103(x93051)+~P107(f315(f54(x93051),x93054))+~P107(f315(f315(f223(x93051),x93052),f877(x93053,x93052,x93054,x93051)))+P107(f315(f315(f223(x93051),f315(f315(f90(x93051),x93052),x93053)),f315(f315(f57(x93051,x93051,f90(x93051)),x93053),x93054)))
% 201.34/201.10 [9306]~P110(x93061)+~P107(f315(f54(x93061),x93064))+~P107(f315(f315(f223(x93061),x93062),f332(x93063,x93062,x93064,x93061)))+P107(f315(f315(f223(x93061),f315(f315(f221(x93061),x93062),x93063)),f315(f315(f57(x93061,x93061,f221(x93061)),x93063),x93064)))
% 201.34/201.10 [9323]~P107(f315(f315(f223(a1),x93234),f2(a1)))+~P107(f315(f315(f224(a1),f2(a1)),x93232))+~P107(f315(f315(f224(a1),x93231),x93234))+P107(f315(f315(f224(a1),f315(f315(f74(a1),x93231),x93232)),f315(f315(f73(a1),f315(f315(f74(a1),x93231),f38(a1,x93233,x93232))),x93234)))
% 201.34/201.10 [9349]P107(f315(f54(x93491),x93492))+~P107(f315(f54(x93491),x93493))+~P107(f315(f315(f317(f901(x93491,a891)),x93492),f315(f315(f53(x93491),x93493),x93494)))+~P107(f315(f315(f223(f901(f900(x93491,x93491),a891)),x93494),f315(f315(f242(x93491,x93491),x93493),f315(f18(f901(x93491,a891),x93491),x93493))))
% 201.34/201.10 [9373]~P103(x93731)+~P107(f315(f54(x93731),x93734))+P107(f315(f315(f317(x93731),f877(x93732,x93733,x93734,x93731)),x93734))+P107(f315(f315(f223(x93731),f315(f315(f90(x93731),x93733),x93732)),f315(f315(f57(x93731,x93731,f90(x93731)),x93732),x93734)))
% 201.34/201.10 [9374]~P110(x93741)+~P107(f315(f54(x93741),x93744))+P107(f315(f315(f317(x93741),f332(x93742,x93743,x93744,x93741)),x93744))+P107(f315(f315(f223(x93741),f315(f315(f221(x93741),x93743),x93742)),f315(f315(f57(x93741,x93741,f221(x93741)),x93742),x93744)))
% 201.34/201.10 [9787]~P107(f315(f54(x97872),x97874))+~P107(f315(f54(x97871),x97873))+~P107(f315(f315(f223(a893),f315(f28(x97872),x97874)),f315(f28(x97871),x97873)))+P107(f315(f315(f223(f901(x97871,a891)),f315(f298(x97872,x97871,f504(x97873,x97871,x97874,x97872)),x97874)),x97873))
% 201.34/201.10 [9424]~P107(f315(f315(f317(x94241),x94242),x94244))+P107(f315(f315(f317(x94241),x94242),x94243))+~P107(f315(f315(f224(f901(x94241,a891)),x94244),f315(f315(f297(x94241),x94242),x94243)))+P107(f315(f315(f224(f901(x94241,a891)),f315(f315(f3(f901(x94241,a891)),x94244),f315(f315(f297(x94241),x94242),f177(f901(x94241,a891))))),x94243))
% 201.34/201.10 [9601]~P107(f315(f315(f317(x96011),x96012),x96014))+P107(f315(f315(f317(x96011),x96012),x96013))+P107(f315(f315(f224(f901(x96011,a891)),x96014),f315(f315(f297(x96011),x96012),x96013)))+~P107(f315(f315(f224(f901(x96011,a891)),f315(f315(f3(f901(x96011,a891)),x96014),f315(f315(f297(x96011),x96012),f177(f901(x96011,a891))))),x96013))
% 201.34/201.10 [9626]P107(f315(f315(f317(x96261),x96262),x96263))+~P107(f315(f315(f223(f901(x96261,a891)),x96264),x96263))+P107(f315(f315(f224(f901(x96261,a891)),x96264),f315(f315(f297(x96261),x96262),x96263)))+~P107(f315(f315(f224(f901(x96261,a891)),f315(f315(f3(f901(x96261,a891)),x96264),f315(f315(f297(x96261),x96262),f177(f901(x96261,a891))))),x96263))
% 201.34/201.10 [9631]~P107(f315(f315(f317(x96311),x96313),x96312))+~P107(f315(f315(f224(f901(x96311,a891)),x96312),x96314))+P107(f315(f315(f224(f901(x96311,a891)),x96312),f315(f315(f297(x96311),x96313),x96314)))+~P107(f315(f315(f224(f901(x96311,a891)),f315(f315(f3(f901(x96311,a891)),x96312),f315(f315(f297(x96311),x96313),f177(f901(x96311,a891))))),x96314))
% 201.34/201.10 [9647]~P107(f315(f315(f223(f901(x96471,a891)),x96472),x96474))+~P107(f315(f315(f224(f901(x96471,a891)),x96472),x96474))+P107(f315(f315(f224(f901(x96471,a891)),x96472),f315(f315(f297(x96471),x96473),x96474)))+~P107(f315(f315(f224(f901(x96471,a891)),f315(f315(f3(f901(x96471,a891)),x96472),f315(f315(f297(x96471),x96473),f177(f901(x96471,a891))))),x96474))
% 201.34/201.10 [9692]~P111(x96922)+~P64(x96921)+~P107(f315(f315(f223(f901(x96921,x96922)),x96923),x96924))+P107(f315(f50(x96921),f315(f315(f20(x96921,x96922,a891),f315(f315(f10(x96922,f901(x96922,a891),x96921),f223(x96922)),x96923)),x96924)))
% 201.34/201.10 [9835]~P111(x98352)+~P64(x98351)+P107(f315(f315(f223(f901(x98351,x98352)),x98353),x98354))+~P107(f315(f50(x98351),f315(f315(f20(x98351,x98352,a891),f315(f315(f10(x98352,f901(x98352,a891),x98351),f223(x98352)),x98353)),x98354)))
% 201.34/201.10 [10000]E(f315(f315(f153(x100001),f315(f315(f153(f894(x100001)),f168(x100001,x100002)),x100003)),x100004),f315(f315(f153(x100001),f315(f315(f153(f894(x100001)),x100002),x100004)),x100003))+~P107(f315(f315(f224(a893),x100003),f315(f178(f894(f894(x100001))),f168(x100001,x100002))))+~P13(a893,f315(f157(a893),f315(f315(f143(f894(x100001),a893),f178(f894(x100001))),x100002)))+~P107(f315(f315(f224(a893),x100004),f315(f178(f894(f894(x100001))),f315(f125(f894(x100001),f315(f315(f10(a893,a891,f894(x100001)),f315(f224(a893),x100003)),f178(f894(x100001)))),x100002))))
% 201.34/201.10 [10021]~P107(f315(f315(f317(f900(a893,a893)),x100214),x100211))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x100214),x100212)),a64))+~P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100211),x100213)),a65))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100211),f315(f315(f297(f900(a893,a893)),x100212),x100213))),a65))
% 201.34/201.10 [10022]~P107(f315(f315(f317(f900(a893,a893)),x100224),x100221))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x100224),x100222)),a26))+~P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100221),x100223)),a62))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100221),f315(f315(f297(f900(a893,a893)),x100222),x100223))),a62))
% 201.34/201.10 [9912]~P111(x99122)+~P64(x99121)+~P107(f315(f315(f224(f901(x99121,x99122)),x99123),x99124))+P107(f315(f49(x99121),f315(f315(f10(a891,a891,x99121),a310),f315(f315(f20(x99121,x99122,a891),f315(f315(f10(x99122,f901(x99122,a891),x99121),a312),x99123)),x99124))))
% 201.34/201.10 [10033]~P107(f315(f315(f317(f900(a893,a893)),x100334),x100333))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x100331),x100334)),a26))+~P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100332),x100333)),a27))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f315(f315(f297(f900(a893,a893)),x100331),x100332)),x100333)),a27))
% 201.34/201.10 [10034]~P107(f315(f315(f317(f900(a893,a893)),x100344),x100343))+~P107(f315(f315(f317(f900(f900(a893,a893),f900(a893,a893))),f315(f315(f240(f900(a893,a893),f900(a893,a893)),x100341),x100344)),a64))+~P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),x100342),x100343)),a63))+P107(f315(f315(f317(f900(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891))),f315(f315(f240(f901(f900(a893,a893),a891),f901(f900(a893,a893),a891)),f315(f315(f297(f900(a893,a893)),x100341),x100342)),x100343)),a63))
% 201.34/201.10 [6120]~P7(x61204,x61201)+~P107(f315(f315(x61201,x61202),x61205))+P107(f315(f315(x61201,x61202),x61203))+~P107(f315(f315(x61201,x61205),x61203))
% 201.34/201.10 [6121]~P51(x61214,x61211)+~P107(f315(f315(x61211,x61212),x61215))+P107(f315(f315(x61211,x61212),x61213))+~P107(f315(f315(x61211,x61215),x61213))
% 201.34/201.10 [6122]~P15(x61224,x61221)+~P107(f315(f315(x61221,x61222),x61225))+P107(f315(f315(x61221,x61222),x61223))+~P107(f315(f315(x61221,x61225),x61223))
% 201.34/201.10 [8840]~P7(x88404,x88403)+~P107(f315(x88401,x88405))+P107(f315(x88402,f810(x88402,x88401,x88403,x88404)))+P107(f315(x88401,f809(x88402,x88401,x88403,x88404)))
% 201.34/201.10 [9074]~P7(x90744,x90743)+~P107(f315(x90742,x90745))+~P107(f315(x90741,f809(x90741,x90742,x90743,x90744)))+P107(f315(x90741,f810(x90741,x90742,x90743,x90744)))
% 201.34/201.10 [9256]~P7(x92564,x92563)+~P107(f315(x92561,x92565))+P107(f315(f315(f317(x92564),f810(x92562,x92561,x92563,x92564)),f258(x92564,x92563)))+P107(f315(x92561,f809(x92562,x92561,x92563,x92564)))
% 201.34/201.10 [9382]~P7(x93821,x93824)+~P107(f315(x93823,x93825))+~P107(f315(x93822,f809(x93822,x93823,x93824,x93821)))+P107(f315(f315(f317(x93821),f810(x93822,x93823,x93824,x93821)),f258(x93821,x93824)))
% 201.34/201.10 [9681]~P40(x96811,x96814)+P107(f315(f315(f317(f900(f894(x96811),f894(x96811))),f315(f315(f240(f894(x96811),f894(x96811)),x96812),x96813)),f136(x96811,x96814)))+~P107(f315(f315(f317(f900(f894(x96811),f894(x96811))),f315(f315(f240(f894(x96811),f894(x96811)),x96812),x96815)),f136(x96811,x96814)))+~P107(f315(f315(f317(f900(f894(x96811),f894(x96811))),f315(f315(f240(f894(x96811),f894(x96811)),x96815),x96813)),f136(x96811,x96814)))
% 201.34/201.10 [5345]~P69(x53455)+E(x53451,x53452)+~E(x53453,x53454)+~E(f315(f315(f3(x53455),x53453),x53454),f315(f315(f3(x53455),x53451),x53452))
% 201.34/201.10 [6237]~P17(x62375,x62371,x62373)+E(f315(f315(x62371,x62372),f315(x62373,x62374)),f315(x62373,x62374))+~P107(f315(f54(x62375),x62374))+~P107(f315(f315(f317(x62375),x62372),x62374))
% 201.34/201.10 [6432]~P82(x64321)+~E(f315(f315(f3(x64321),x64324),x64325),f315(f315(f3(x64321),x64322),x64323))+~P107(f315(f315(f223(x64321),x64324),x64325))+P107(f315(f315(f223(x64321),x64322),x64323))
% 201.34/201.10 [6434]~P82(x64341)+~E(f315(f315(f3(x64341),x64344),x64345),f315(f315(f3(x64341),x64342),x64343))+~P107(f315(f315(f224(x64341),x64344),x64345))+P107(f315(f315(f224(x64341),x64342),x64343))
% 201.34/201.10 [7427]~E(x74272,f315(f315(f140(x74271),x74274),x74275))+P107(f315(f315(f317(f894(x74271)),x74272),f150(x74271,x74273)))+~P107(f315(f315(f317(f894(x74271)),x74275),f150(x74271,x74273)))+~P107(f315(f315(f317(x74271),x74274),x74273))
% 201.34/201.10 [7833]~E(f315(f178(f894(x78331)),x78333),f315(f178(f894(x78332)),x78334))+~E(f315(f315(f143(f900(x78331,x78332),x78332),f244(x78331,x78332)),x78335),x78334)+~E(f315(f315(f143(f900(x78331,x78332),x78331),f239(x78331,x78332)),x78335),x78333)+E(f315(f315(f170(x78331,x78332),x78333),x78334),x78335)
% 201.34/201.10 [8165]~P111(x81651)+P107(f315(f315(f224(f901(x81651,a891)),f291(x81651,x81652,x81653)),f291(x81651,x81654,x81655)))+~P107(f315(f315(f223(x81651),x81654),x81655))+P107(f315(f315(f223(x81651),x81652),x81653))
% 201.34/201.10 [8265]~P111(x82651)+P107(f315(f315(f223(f901(x82651,a891)),f291(x82651,x82652,x82653)),f291(x82651,x82654,x82655)))+~P107(f315(f315(f223(x82651),x82653),x82655))+~P107(f315(f315(f223(x82651),x82654),x82652))
% 201.34/201.10 [8383]~P110(x83831)+P107(f315(f315(f223(x83831),x83832),x83833))+P107(f315(f315(f223(x83831),x83834),x83833))+~P107(f315(f315(f223(f901(x83831,a891)),f315(f290(x83831,x83833),x83832)),f315(f290(x83831,x83834),x83835)))
% 201.34/201.10 [8384]~P110(x83841)+P107(f315(f315(f223(x83841),x83842),x83843))+P107(f315(f315(f223(x83841),x83842),x83844))+~P107(f315(f315(f223(f901(x83841,a891)),f315(f290(x83841,x83843),x83842)),f315(f290(x83841,x83845),x83844)))
% 201.34/201.10 [8617]~P111(x86171)+~P107(f315(f315(f223(f901(x86171,a891)),f291(x86171,x86174,x86172)),f291(x86171,x86175,x86173)))+P107(f315(f315(f223(x86171),x86172),x86173))+~P107(f315(f315(f223(x86171),x86174),x86172))
% 201.34/201.10 [8618]~P111(x86181)+~P107(f315(f315(f224(f901(x86181,a891)),f291(x86181,x86184,x86182)),f291(x86181,x86185,x86183)))+P107(f315(f315(f223(x86181),x86182),x86183))+~P107(f315(f315(f223(x86181),x86184),x86182))
% 201.34/201.10 [8619]~P111(x86191)+~P107(f315(f315(f223(f901(x86191,a891)),f291(x86191,x86193,x86194)),f291(x86191,x86192,x86195)))+P107(f315(f315(f223(x86191),x86192),x86193))+~P107(f315(f315(f223(x86191),x86193),x86194))
% 201.34/201.10 [8620]~P111(x86201)+~P107(f315(f315(f224(f901(x86201,a891)),f291(x86201,x86203,x86204)),f291(x86201,x86202,x86205)))+P107(f315(f315(f223(x86201),x86202),x86203))+~P107(f315(f315(f223(x86201),x86203),x86204))
% 201.34/201.10 [6119]~P17(x61192,x61195,x61193)+E(x61191,f177(f901(x61192,a891)))+~P107(f315(f54(x61192),x61191))+E(f315(x61193,f315(f315(f297(x61192),x61194),x61191)),f315(f315(x61195,x61194),f315(x61193,x61191)))
% 201.34/201.10 [6914]~E(x69141,x69142)+~E(f315(f315(f90(f901(x69143,a891)),x69144),x69145),f177(f901(x69143,a891)))+~P107(f315(f315(f317(x69143),x69142),x69145))+~P107(f315(f315(f317(x69143),x69141),x69144))
% 201.34/201.10 [6995]~P18(x69952,x69955,x69951)+~P107(f315(f54(x69952),x69954))+E(f315(x69951,f315(f315(f297(x69952),x69953),x69954)),f315(f315(f57(x69952,x69952,x69955),x69953),x69954))+P107(f315(f315(f317(x69952),x69953),x69954))
% 201.34/201.10 [7064]~P76(x70642)+~P107(f315(f54(x70641),x70645))+E(f315(f315(f8(x70641,x70642),x70643),f315(f315(f297(x70641),x70644),x70645)),f315(f315(f73(x70642),f315(x70643,x70644)),f315(f315(f8(x70641,x70642),x70643),x70645)))+P107(f315(f315(f317(x70641),x70644),x70645))
% 201.34/201.10 [7066]~P72(x70662)+~P107(f315(f54(x70661),x70665))+E(f315(f315(f11(x70661,x70662),x70663),f315(f315(f297(x70661),x70664),x70665)),f315(f315(f74(x70662),f315(x70663,x70664)),f315(f315(f11(x70661,x70662),x70663),x70665)))+P107(f315(f315(f317(x70661),x70664),x70665))
% 201.34/201.10 [7474]~P113(x74741)+~P107(f315(f54(x74744),x74745))+~P107(f315(f315(f317(x74744),x74743),x74745))+P107(f315(f315(f275(x74741),f315(x74742,x74743)),f315(f315(f11(x74744,x74741),x74742),x74745)))
% 201.34/201.10 [7574]~P18(x75742,x75745,x75741)+~P107(f315(f54(x75742),x75744))+E(f315(x75741,f315(f315(f297(x75742),x75743),x75744)),x75743)+~E(f315(f315(f3(f901(x75742,a891)),x75744),f315(f315(f297(x75742),x75743),f177(f901(x75742,a891)))),f177(f901(x75742,a891)))
% 201.34/201.10 [7905]~P113(x79051)+~P107(f315(f315(f275(x79051),x79052),x79054))+~P107(f315(f315(f223(a893),x79053),x79055))+P107(f315(f315(f275(x79051),f315(f315(f232(x79051),x79052),x79053)),f315(f315(f232(x79051),x79054),x79055)))
% 201.34/201.10 [7933]~P62(x79331)+E(f315(f315(f29(x79331),f315(f315(f74(x79331),x79332),x79333)),f315(f315(f74(x79331),x79334),x79335)),f315(f315(f74(x79331),f315(f315(f29(x79331),x79332),x79334)),f315(f315(f29(x79331),x79333),x79335)))+~P107(f315(f315(f275(x79331),x79335),x79333))+~P107(f315(f315(f275(x79331),x79334),x79332))
% 201.34/201.10 [7937]~P2(x79371)+~P107(f315(f315(f223(x79371),x79373),x79375))+~P107(f315(f315(f223(x79371),x79372),x79374))+P107(f315(f315(f223(x79371),f315(f315(f99(x79371),x79372),x79373)),f315(f315(f99(x79371),x79374),x79375)))
% 201.34/201.10 [7938]~P103(x79381)+~P107(f315(f315(f223(x79381),x79383),x79385))+~P107(f315(f315(f223(x79381),x79382),x79384))+P107(f315(f315(f223(x79381),f315(f315(f90(x79381),x79382),x79383)),f315(f315(f90(x79381),x79384),x79385)))
% 201.34/201.10 [7939]~P87(x79391)+~P107(f315(f315(f223(x79391),x79393),x79395))+~P107(f315(f315(f223(x79391),x79392),x79394))+P107(f315(f315(f223(x79391),f315(f315(f73(x79391),x79392),x79393)),f315(f315(f73(x79391),x79394),x79395)))
% 201.34/201.10 [7940]~P110(x79401)+~P107(f315(f315(f223(x79401),x79403),x79405))+~P107(f315(f315(f223(x79401),x79402),x79404))+P107(f315(f315(f223(x79401),f315(f315(f221(x79401),x79402),x79403)),f315(f315(f221(x79401),x79404),x79405)))
% 201.34/201.10 [7941]~P110(x79411)+~P107(f315(f315(f223(x79411),x79413),x79415))+~P107(f315(f315(f223(x79411),x79412),x79414))+P107(f315(f315(f223(x79411),f315(f315(f222(x79411),x79412),x79413)),f315(f315(f222(x79411),x79414),x79415)))
% 201.34/201.10 [7942]~P89(x79421)+~P107(f315(f315(f223(x79421),x79423),x79425))+~P107(f315(f315(f224(x79421),x79422),x79424))+P107(f315(f315(f224(x79421),f315(f315(f73(x79421),x79422),x79423)),f315(f315(f73(x79421),x79424),x79425)))
% 201.34/201.10 [7943]~P89(x79431)+~P107(f315(f315(f223(x79431),x79432),x79434))+~P107(f315(f315(f224(x79431),x79433),x79435))+P107(f315(f315(f224(x79431),f315(f315(f73(x79431),x79432),x79433)),f315(f315(f73(x79431),x79434),x79435)))
% 201.34/201.10 [7944]~P89(x79441)+~P107(f315(f315(f224(x79441),x79443),x79445))+~P107(f315(f315(f224(x79441),x79442),x79444))+P107(f315(f315(f224(x79441),f315(f315(f73(x79441),x79442),x79443)),f315(f315(f73(x79441),x79444),x79445)))
% 201.34/201.10 [7945]~P113(x79451)+~P107(f315(f315(f275(x79451),x79453),x79455))+~P107(f315(f315(f275(x79451),x79452),x79454))+P107(f315(f315(f275(x79451),f315(f315(f74(x79451),x79452),x79453)),f315(f315(f74(x79451),x79454),x79455)))
% 201.34/201.10 [8081]~P129(x80815)+E(x80811,x80812)+E(x80813,x80814)+~E(f315(f315(f73(x80815),f315(f315(f74(x80815),x80813),x80811)),f315(f315(f74(x80815),x80814),x80812)),f315(f315(f73(x80815),f315(f315(f74(x80815),x80813),x80812)),f315(f315(f74(x80815),x80814),x80811)))
% 201.34/201.10 [8285]~P110(x82854)+~P107(f315(f126(x82851),x82853))+P107(f315(f315(f317(x82851),x82852),f315(f161(x82851),x82853)))+P107(f315(f126(x82851),f315(f315(f137(x82851,x82854,x82855),x82852),x82853)))
% 201.34/201.10 [8430]~P69(x84301)+E(f315(f315(f3(x84301),f315(f315(f8(a893,x84301),x84302),f315(f290(a893,x84303),x84304))),f315(f315(f8(a893,x84301),x84302),f315(f290(a893,x84303),x84305))),f315(f315(f8(a893,x84301),x84302),f315(f290(a893,x84305),x84304)))+~P107(f315(f315(f223(a893),x84305),x84304))+~P107(f315(f315(f223(a893),x84303),x84305))
% 201.34/201.10 [8431]~P76(x84311)+E(f315(f315(f73(x84311),f315(f315(f8(a893,x84311),x84312),f315(f290(a893,x84313),x84314))),f315(f315(f8(a893,x84311),x84312),f315(f290(a893,x84314),x84315))),f315(f315(f8(a893,x84311),x84312),f315(f290(a893,x84313),x84315)))+~P107(f315(f315(f223(a893),x84314),x84315))+~P107(f315(f315(f223(a893),x84313),x84314))
% 201.34/201.10 [8761]~P66(x87612)+E(x87611,f2(x87612))+E(x87613,f2(x87612))+E(f315(f315(f279(x87612),f315(f315(f3(x87612),f315(f315(f74(x87612),x87614),x87611)),f315(f315(f74(x87612),x87615),x87613))),f315(f315(f74(x87612),x87613),x87611)),f315(f315(f3(x87612),f315(f315(f279(x87612),x87614),x87613)),f315(f315(f279(x87612),x87615),x87611)))
% 201.34/201.10 [8762]~P66(x87622)+E(x87621,f2(x87622))+E(x87623,f2(x87622))+E(f315(f315(f279(x87622),f315(f315(f73(x87622),f315(f315(f74(x87622),x87624),x87621)),f315(f315(f74(x87622),x87625),x87623))),f315(f315(f74(x87622),x87623),x87621)),f315(f315(f73(x87622),f315(f315(f279(x87622),x87624),x87623)),f315(f315(f279(x87622),x87625),x87621)))
% 201.34/201.10 [8771]~E(x87712,f315(x87713,x87711))+E(x87711,f499(x87712,x87713,x87714,x87715))+~P26(x87715,x87714,x87713,f230(f901(x87715,a891)))+~P107(f315(f315(f317(x87714),x87712),f315(f298(x87715,x87714,x87713),f230(f901(x87715,a891)))))
% 201.34/201.10 [8988]~P120(x89881)+~P107(f315(f315(f224(x89881),f315(f69(x89881),x89882)),x89884))+P107(f315(f315(f224(x89881),f315(f315(f74(x89881),f315(f69(x89881),x89882)),f315(f69(x89881),x89883))),f315(f315(f74(x89881),x89884),x89885)))+~P107(f315(f315(f224(x89881),f315(f69(x89881),x89883)),x89885))
% 201.34/201.10 [9099]~P26(x90991,x90993,x90995,x90992)+~P107(f315(f54(x90993),x90994))+P107(f315(f315(f223(a893),f315(f28(x90991),x90992)),f315(f28(x90993),x90994)))+~P107(f315(f315(f223(f901(x90993,a891)),f315(f298(x90991,x90993,x90995),x90992)),x90994))
% 201.34/201.10 [9166]~P76(x91662)+~P26(x91661,x91661,x91664,x91665)+~P107(f315(f54(x91661),x91665))+E(f315(f315(f8(x91661,x91662),f315(f66(x91661,x91662,x91661,x91663),x91664)),x91665),f315(f315(f8(x91661,x91662),x91663),f315(f298(x91661,x91661,x91664),x91665)))
% 201.34/201.10 [9167]~P72(x91672)+~P26(x91671,x91671,x91674,x91675)+~P107(f315(f54(x91671),x91675))+E(f315(f315(f11(x91671,x91672),f315(f66(x91671,x91672,x91671,x91673),x91674)),x91675),f315(f315(f11(x91671,x91672),x91673),f315(f298(x91671,x91671,x91674),x91675)))
% 201.34/201.10 [9285]~P39(x92851,x92852)+~P107(f315(f315(f317(x92851),x92853),x92854))+~P107(f315(f315(f317(x92851),x92855),x92854))+~P107(f315(f315(f317(f900(x92851,x92851)),f315(f315(f240(x92851,x92851),x92855),f579(x92852,x92851,x92854))),x92852))
% 201.34/201.10 [9322]~P26(x93222,x93223,x93225,x93221)+E(x93221,f177(f901(x93222,a891)))+E(f315(f298(x93223,x93222,f501(x93224,x93223,x93222,x93221)),x93224),x93221)+~P107(f315(f315(f223(f901(x93223,a891)),f315(f298(x93222,x93223,x93225),x93221)),x93224))
% 201.34/201.10 [9816]~P110(x98165)+~P5(x98165)+P107(f315(f315(f317(x98161),f446(x98162,x98163,x98161,x98164,x98165)),x98163))+~P107(f315(f315(f224(x98165),x98164),f315(f315(f33(x98161,x98165),x98163),x98162)))
% 201.34/201.10 [9821]~P110(x98211)+~P5(x98211)+P107(f315(f315(f224(x98211),x98212),f315(x98213,f446(x98213,x98214,x98215,x98212,x98211))))+~P107(f315(f315(f224(x98211),x98212),f315(f315(f33(x98215,x98211),x98214),x98213)))
% 201.34/201.10 [9899]~P70(x98991)+~P107(f315(f59(x98991,x98991,f74(x98991),x98992,x98993),x98995))+P107(f315(f315(f317(x98991),x98992),x98993))+P107(f315(f59(x98991,x98991,f74(x98991),x98994,f315(f315(f297(x98991),x98992),x98993)),f315(f315(f74(x98991),x98994),x98995)))
% 201.34/201.10 [10111]~P76(x101112)+~P107(f315(f54(x101111),x101115))+E(f315(f315(f8(x101111,x101112),f315(f315(f9(x101111,x101112,x101112),f315(f315(f20(x101111,x101112,f901(x101112,x101112)),f315(f315(f10(a891,f901(x101112,f901(x101112,x101112)),x101111),f85(x101112)),f315(a312,x101113))),x101114)),f2(x101112))),x101115),f2(x101112))+P107(f315(f315(f317(x101111),x101113),x101115))
% 201.34/201.10 [10112]~P72(x101122)+~P107(f315(f54(x101121),x101125))+E(f315(f315(f11(x101121,x101122),f315(f315(f9(x101121,x101122,x101122),f315(f315(f20(x101121,x101122,f901(x101122,x101122)),f315(f315(f10(a891,f901(x101122,f901(x101122,x101122)),x101121),f85(x101122)),f315(a312,x101123))),x101124)),f71(x101122))),x101125),f71(x101122))+P107(f315(f315(f317(x101121),x101123),x101125))
% 201.34/201.10 [10113]~P76(x101132)+~P107(f315(f54(x101131),x101135))+E(f315(f315(f8(x101131,x101132),f315(f315(f9(x101131,x101132,x101132),f315(f315(f20(x101131,x101132,f901(x101132,x101132)),f315(f315(f10(a891,f901(x101132,f901(x101132,x101132)),x101131),f85(x101132)),f315(a312,x101133))),x101134)),f2(x101132))),x101135),f315(x101134,x101133))+~P107(f315(f315(f317(x101131),x101133),x101135))
% 201.34/201.10 [10114]~P72(x101142)+~P107(f315(f54(x101141),x101145))+E(f315(f315(f11(x101141,x101142),f315(f315(f9(x101141,x101142,x101142),f315(f315(f20(x101141,x101142,f901(x101142,x101142)),f315(f315(f10(a891,f901(x101142,f901(x101142,x101142)),x101141),f85(x101142)),f315(a312,x101143))),x101144)),f71(x101142))),x101145),f315(x101144,x101143))+~P107(f315(f315(f317(x101141),x101143),x101145))
% 201.34/201.10 [10171]~P76(x101712)+~P107(f315(f54(x101711),x101715))+E(f315(f315(f8(x101711,x101712),f315(f315(f9(x101711,x101712,x101712),f315(f315(f20(x101711,x101712,f901(x101712,x101712)),f315(f315(f10(a891,f901(x101712,f901(x101712,x101712)),x101711),f85(x101712)),f315(f315(f9(x101711,x101711,a891),a312),x101713))),x101714)),f2(x101712))),x101715),f2(x101712))+P107(f315(f315(f317(x101711),x101713),x101715))
% 201.34/201.10 [10172]~P72(x101722)+~P107(f315(f54(x101721),x101725))+E(f315(f315(f11(x101721,x101722),f315(f315(f9(x101721,x101722,x101722),f315(f315(f20(x101721,x101722,f901(x101722,x101722)),f315(f315(f10(a891,f901(x101722,f901(x101722,x101722)),x101721),f85(x101722)),f315(f315(f9(x101721,x101721,a891),a312),x101723))),x101724)),f71(x101722))),x101725),f71(x101722))+P107(f315(f315(f317(x101721),x101723),x101725))
% 201.34/201.10 [10174]~P76(x101742)+~P107(f315(f54(x101741),x101745))+E(f315(f315(f8(x101741,x101742),f315(f315(f9(x101741,x101742,x101742),f315(f315(f20(x101741,x101742,f901(x101742,x101742)),f315(f315(f10(a891,f901(x101742,f901(x101742,x101742)),x101741),f85(x101742)),f315(f315(f9(x101741,x101741,a891),a312),x101743))),x101744)),f2(x101742))),x101745),f315(x101744,x101743))+~P107(f315(f315(f317(x101741),x101743),x101745))
% 201.34/201.10 [10175]~P72(x101752)+~P107(f315(f54(x101751),x101755))+E(f315(f315(f11(x101751,x101752),f315(f315(f9(x101751,x101752,x101752),f315(f315(f20(x101751,x101752,f901(x101752,x101752)),f315(f315(f10(a891,f901(x101752,f901(x101752,x101752)),x101751),f85(x101752)),f315(f315(f9(x101751,x101751,a891),a312),x101753))),x101754)),f71(x101752))),x101755),f315(x101754,x101753))+~P107(f315(f315(f317(x101751),x101753),x101755))
% 201.34/201.10 [7936]~P69(x79362)+~P107(f315(f54(x79361),x79364))+E(f315(f315(f8(x79361,x79362),x79363),f315(f315(f3(f901(x79361,a891)),x79364),f315(f315(f297(x79361),x79365),f177(f901(x79361,a891))))),f315(f315(f8(x79361,x79362),x79363),x79364))+P107(f315(f315(f317(x79361),x79365),x79364))
% 201.34/201.10 [8438]~P131(x84382)+~P107(f315(f54(x84381),x84384))+E(f315(f315(f8(x84381,x84382),x84383),f315(f315(f3(f901(x84381,a891)),x84384),f315(f315(f297(x84381),x84385),f177(f901(x84381,a891))))),f315(f315(f3(x84382),f315(f315(f8(x84381,x84382),x84383),x84384)),f315(x84383,x84385)))+~P107(f315(f315(f317(x84381),x84385),x84384))
% 201.34/201.10 [8439]~P69(x84392)+~P107(f315(f54(x84391),x84394))+E(f315(f315(f8(x84391,x84392),x84393),f315(f315(f3(f901(x84391,a891)),x84394),f315(f315(f297(x84391),x84395),f177(f901(x84391,a891))))),f315(f315(f3(x84392),f315(f315(f8(x84391,x84392),x84393),x84394)),f315(x84393,x84395)))+~P107(f315(f315(f317(x84391),x84395),x84394))
% 201.34/201.10 [8451]~P113(x84511)+~P107(f315(f315(f223(a893),x84513),x84515))+~P107(f315(f315(f275(x84511),f315(f315(f232(x84511),x84512),x84515)),x84514))+P107(f315(f315(f275(x84511),f315(f315(f232(x84511),x84512),x84513)),x84514))
% 201.34/201.10 [8469]~P69(x84691)+~P107(f315(f54(x84692),x84694))+E(f315(f315(f3(x84691),f315(f315(f8(x84692,x84691),x84693),x84694)),f315(f315(f8(x84692,x84691),x84693),x84695)),f315(f315(f8(x84692,x84691),x84693),f315(f315(f3(f901(x84692,a891)),x84694),x84695)))+~P107(f315(f315(f223(f901(x84692,a891)),x84695),x84694))
% 201.34/201.10 [8488]P107(f315(f54(x84881),f315(x84882,x84883)))+~P107(f315(f54(x84884),x84885))+~P107(f315(f315(f317(x84884),x84883),x84885))+~P107(f315(f54(x84881),f315(f315(f33(x84884,f901(x84881,a891)),x84885),x84882)))
% 201.34/201.10 [8944]~P8(x89441,x89445,x89444)+~E(f315(f273(x89441,x89441,x89444),f315(f315(f297(x89441),x89442),f177(f901(x89441,a891)))),f315(f273(x89441,x89441,x89444),f315(f315(f297(x89441),x89443),f177(f901(x89441,a891)))))+~P107(f315(f315(f317(x89441),x89443),x89445))+P107(f315(f315(f317(f900(x89441,x89441)),f315(f315(f240(x89441,x89441),x89442),x89443)),x89444))
% 201.34/201.10 [9241]~P107(f315(x92411,x92415))+P107(f315(x92411,f766(x92411,x92412,x92413,x92414)))+P107(f315(x92411,f658(x92411,x92412,x92413,x92414)))+~P107(f315(f315(f317(x92414),x92415),f315(f315(f99(f901(x92414,a891)),x92413),x92412)))
% 201.34/201.10 [9429]~P107(f315(x94291,x94295))+P107(f315(x94291,f658(x94291,x94292,x94293,x94294)))+P107(f315(f315(f317(x94294),f766(x94291,x94292,x94293,x94294)),x94292))+~P107(f315(f315(f317(x94294),x94295),f315(f315(f99(f901(x94294,a891)),x94293),x94292)))
% 201.34/201.10 [9430]~P107(f315(x94301,x94305))+P107(f315(x94301,f766(x94301,x94302,x94303,x94304)))+P107(f315(f315(f317(x94304),f658(x94301,x94302,x94303,x94304)),x94303))+~P107(f315(f315(f317(x94304),x94305),f315(f315(f99(f901(x94304,a891)),x94303),x94302)))
% 201.34/201.10 [9434]P107(f315(x94341,x94342))+~P107(f315(x94341,f881(x94341,x94343,x94344,x94345)))+~P107(f315(x94341,f866(x94341,x94343,x94344,x94345)))+~P107(f315(f315(f317(x94345),x94342),f315(f315(f99(f901(x94345,a891)),x94344),x94343)))
% 201.34/201.10 [9439]~P40(x94391,x94394)+~P107(f315(f315(f317(f900(x94391,x94391)),f315(f315(f240(x94391,x94391),x94392),x94395)),x94394))+P107(f315(f315(f317(f900(x94391,x94391)),f315(f315(f240(x94391,x94391),x94392),x94393)),x94394))+~P107(f315(f315(f317(f900(x94391,x94391)),f315(f315(f240(x94391,x94391),x94395),x94393)),x94394))
% 201.34/201.10 [9478]E(x94781,x94782)+~P107(f315(f315(f317(f900(x94783,x94783)),f315(f315(f240(x94783,x94783),x94781),x94782)),f295(x94783,x94785)))+P107(f315(f315(f317(x94783),x94781),x94784))+~P107(f315(f315(f223(f901(f900(x94783,x94783),a891)),x94785),f315(f315(f242(x94783,x94783),x94784),f315(f18(f901(x94783,a891),x94783),x94784))))
% 201.34/201.10 [9496]P107(f315(x94961,x94962))+~P107(f315(x94961,f866(x94961,x94964,x94965,x94963)))+P107(f315(f315(f317(x94963),f881(x94961,x94964,x94965,x94963)),x94964))+~P107(f315(f315(f317(x94963),x94962),f315(f315(f99(f901(x94963,a891)),x94965),x94964)))
% 201.34/201.10 [9497]P107(f315(x94971,x94972))+~P107(f315(x94971,f881(x94971,x94974,x94975,x94973)))+P107(f315(f315(f317(x94973),f866(x94971,x94974,x94975,x94973)),x94975))+~P107(f315(f315(f317(x94973),x94972),f315(f315(f99(f901(x94973,a891)),x94975),x94974)))
% 201.34/201.10 [9565]P107(f315(x95651,x95652))+P107(f315(f315(f317(x95653),f881(x95651,x95654,x95655,x95653)),x95654))+P107(f315(f315(f317(x95653),f866(x95651,x95654,x95655,x95653)),x95655))+~P107(f315(f315(f317(x95653),x95652),f315(f315(f99(f901(x95653,a891)),x95655),x95654)))
% 201.34/201.10 [9567]~P107(f315(x95672,x95675))+P107(f315(f315(f317(x95671),f766(x95672,x95673,x95674,x95671)),x95673))+P107(f315(f315(f317(x95671),f658(x95672,x95673,x95674,x95671)),x95674))+~P107(f315(f315(f317(x95671),x95675),f315(f315(f99(f901(x95671,a891)),x95674),x95673)))
% 201.34/201.10 [9723]~P8(x97231,x97235,x97234)+~P107(f315(f315(f317(x97231),x97233),x97235))+P107(f315(f315(f317(f900(x97231,x97231)),f315(f315(f240(x97231,x97231),x97232),x97233)),x97234))+~P107(f315(f315(f223(f901(x97231,a891)),f315(f273(x97231,x97231,x97234),f315(f315(f297(x97231),x97233),f177(f901(x97231,a891))))),f315(f273(x97231,x97231,x97234),f315(f315(f297(x97231),x97232),f177(f901(x97231,a891))))))
% 201.34/201.10 [9850]~P110(x98505)+~P5(x98505)+P107(f315(f315(f317(x98501),f405(x98502,x98503,x98504,x98501,x98505)),x98504))+~P107(f315(f315(f224(x98505),f315(f315(f32(x98501,x98505),x98504),x98503)),x98502))
% 201.34/201.10 [9882]~P87(x98825)+~P85(x98825)+P107(f315(f315(f317(x98821),f673(x98822,x98823,x98824,x98821,x98825)),f315(f161(x98821),x98824)))+P107(f315(f315(f223(x98825),f315(f154(x98825),f315(f315(f143(x98821,x98825),x98823),x98824))),f315(f154(x98825),f315(f315(f143(x98821,x98825),x98822),x98824))))
% 201.34/201.10 [9990]~P110(x99901)+~P5(x99901)+P107(f315(f315(f224(x99901),f315(x99902,f405(x99903,x99902,x99904,x99905,x99901))),x99903))+~P107(f315(f315(f224(x99901),f315(f315(f32(x99905,x99901),x99904),x99902)),x99903))
% 201.34/201.10 [10129]~P87(x101291)+~P85(x101291)+~P107(f315(f315(f223(x101291),f315(x101293,f673(x101295,x101293,x101294,x101292,x101291))),f315(x101295,f673(x101295,x101293,x101294,x101292,x101291))))+P107(f315(f315(f223(x101291),f315(f154(x101291),f315(f315(f143(x101292,x101291),x101293),x101294))),f315(f154(x101291),f315(f315(f143(x101292,x101291),x101295),x101294))))
% 201.34/201.10 [8784]~P76(x87841)+~P107(f315(f54(x87844),x87845))+~P107(f315(f315(f317(x87844),x87843),x87845))+E(f315(f315(f73(x87841),f315(x87842,x87843)),f315(f315(f8(x87844,x87841),x87842),f315(f315(f3(f901(x87844,a891)),x87845),f315(f315(f297(x87844),x87843),f177(f901(x87844,a891)))))),f315(f315(f8(x87844,x87841),x87842),x87845))
% 201.34/201.10 [8785]~P72(x87851)+~P107(f315(f54(x87854),x87855))+~P107(f315(f315(f317(x87854),x87853),x87855))+E(f315(f315(f74(x87851),f315(x87852,x87853)),f315(f315(f11(x87854,x87851),x87852),f315(f315(f3(f901(x87854,a891)),x87855),f315(f315(f297(x87854),x87853),f177(f901(x87854,a891)))))),f315(f315(f11(x87854,x87851),x87852),x87855))
% 201.34/201.10 [8845]~P18(x88451,x88454,x88455)+~P107(f315(f54(x88451),x88452))+E(f315(f315(f3(f901(x88451,a891)),x88452),f315(f315(f297(x88451),x88453),f177(f901(x88451,a891)))),f177(f901(x88451,a891)))+E(f315(f315(x88454,x88453),f315(x88455,f315(f315(f3(f901(x88451,a891)),x88452),f315(f315(f297(x88451),x88453),f177(f901(x88451,a891)))))),f315(x88455,f315(f315(f297(x88451),x88453),x88452)))
% 201.34/201.10 [9220]~P72(x92201)+~P107(f315(f54(x92202),x92205))+~P107(f315(f54(x92202),x92204))+E(f315(f315(f74(x92201),f315(f315(f11(x92202,x92201),x92203),f315(f315(f99(f901(x92202,a891)),x92204),x92205))),f315(f315(f11(x92202,x92201),x92203),f315(f315(f90(f901(x92202,a891)),x92204),x92205))),f315(f315(f74(x92201),f315(f315(f11(x92202,x92201),x92203),x92204)),f315(f315(f11(x92202,x92201),x92203),x92205)))
% 201.34/201.10 [9221]~P76(x92211)+~P107(f315(f54(x92212),x92215))+~P107(f315(f54(x92212),x92214))+E(f315(f315(f73(x92211),f315(f315(f8(x92212,x92211),x92213),f315(f315(f99(f901(x92212,a891)),x92214),x92215))),f315(f315(f8(x92212,x92211),x92213),f315(f315(f90(f901(x92212,a891)),x92214),x92215))),f315(f315(f73(x92211),f315(f315(f8(x92212,x92211),x92213),x92214)),f315(f315(f8(x92212,x92211),x92213),x92215)))
% 201.34/201.10 [9362]~P69(x93621)+~P107(f315(f54(x93622),x93625))+~P107(f315(f54(x93622),x93624))+E(f315(f315(f3(x93621),f315(f315(f73(x93621),f315(f315(f8(x93622,x93621),x93623),x93624)),f315(f315(f8(x93622,x93621),x93623),x93625))),f315(f315(f8(x93622,x93621),x93623),f315(f315(f90(f901(x93622,a891)),x93624),x93625))),f315(f315(f8(x93622,x93621),x93623),f315(f315(f99(f901(x93622,a891)),x93624),x93625)))
% 201.34/201.10 [9581]~P26(x95811,x95812,x95813,x95815)+~P26(x95811,x95812,x95813,x95814)+P26(x95811,x95812,x95813,f315(f315(f99(f901(x95811,a891)),x95814),x95815))+~E(f315(f315(f90(f901(x95812,a891)),f315(f298(x95811,x95812,x95813),f315(f315(f3(f901(x95811,a891)),x95814),x95815))),f315(f298(x95811,x95812,x95813),f315(f315(f3(f901(x95811,a891)),x95815),x95814))),f177(f901(x95812,a891)))
% 201.34/201.10 [9698]E(x96981,f2(a1))+~P107(f315(f315(f224(a1),f2(a1)),x96983))+~P107(f315(f42(x96982,x96981),f315(f315(f240(a1,a1),x96984),x96985)))+P107(f315(f42(x96982,f315(f315(f74(a1),x96981),x96983)),f315(f315(f240(a1,a1),f315(f315(f29(a1),x96984),x96983)),f315(f315(f73(a1),f315(f315(f74(a1),x96981),f38(a1,x96984,x96983))),x96985))))
% 201.34/201.10 [9706]~P107(f315(f315(f224(a893),f2(a893)),x97063))+~P107(f315(f315(f224(a893),f2(a893)),x97062))+~P107(f315(f41(x97061,x97062),f315(f315(f240(a893,a893),x97064),x97065)))+P107(f315(f41(x97061,f315(f315(f74(a893),x97062),x97063)),f315(f315(f240(a893,a893),f315(f315(f29(a893),x97064),x97063)),f315(f315(f73(a893),f315(f315(f74(a893),x97062),f38(a893,x97064,x97063))),x97065))))
% 201.34/201.10 [9755]~P72(x97551)+~P107(f315(f54(x97552),x97555))+~P107(f315(f54(x97552),x97554))+E(f315(f315(f74(x97551),f315(f315(f315(f58(x97551,x97552,f74(x97551)),x97553),f71(x97551)),f315(f315(f99(f901(x97552,a891)),x97554),x97555))),f315(f315(f315(f58(x97551,x97552,f74(x97551)),x97553),f71(x97551)),f315(f315(f90(f901(x97552,a891)),x97554),x97555))),f315(f315(f74(x97551),f315(f315(f315(f58(x97551,x97552,f74(x97551)),x97553),f71(x97551)),x97554)),f315(f315(f315(f58(x97551,x97552,f74(x97551)),x97553),f71(x97551)),x97555)))
% 201.34/201.10 [9757]~E(f315(f315(f164(x97571),x97575),x97572),f315(f315(f164(x97571),x97575),x97573))+P107(f315(f315(f317(f900(f894(x97571),f894(x97571))),f315(f315(f240(f894(x97571),f894(x97571)),x97572),x97573)),f136(x97571,x97574)))+~P107(f315(f315(f224(a893),x97575),f315(f315(f221(a893),f315(f178(f894(x97571)),x97572)),f315(f178(f894(x97571)),x97573))))+~P107(f315(f315(f317(f900(x97571,x97571)),f315(f315(f240(x97571,x97571),f315(f315(f153(x97571),x97572),x97575)),f315(f315(f153(x97571),x97573),x97575))),x97574))
% 201.34/201.10 [9871]~P87(x98715)+~P147(x98715)+P107(f315(f315(f317(x98711),f333(x98712,x98713,x98714,x98711,x98715)),x98714))+P107(f315(f315(f223(x98715),f315(f315(f8(x98711,x98715),x98713),x98714)),f315(f315(f74(x98715),f315(f89(x98715),f315(f28(x98711),x98714))),x98712)))
% 201.34/201.10 [10047]~P87(x100471)+~P147(x100471)+~P107(f315(f315(f223(x100471),f315(x100473,f333(x100475,x100473,x100474,x100472,x100471))),x100475))+P107(f315(f315(f223(x100471),f315(f315(f8(x100472,x100471),x100473),x100474)),f315(f315(f74(x100471),f315(f89(x100471),f315(f28(x100472),x100474))),x100475)))
% 201.34/201.10 [8813]E(f315(f315(f123(x88131),x88132),x88133),f315(f315(f123(x88131),x88134),x88135))+~E(f315(f315(f164(x88131),f315(f178(f894(x88131)),x88132)),x88134),x88132)+~E(f315(f315(f123(x88131),f315(f315(f127(x88131),f315(f178(f894(x88131)),x88132)),x88134)),x88135),x88133)+P107(f315(f315(f223(a893),f315(f178(f894(x88131)),x88134)),f315(f178(f894(x88131)),x88132)))
% 201.34/201.10 [8943]E(f315(f315(f123(x89431),x89432),x89433),f315(f315(f123(x89431),x89434),x89435))+~E(f315(f315(f164(x89431),f315(f178(f894(x89431)),x89432)),x89434),x89432)+~E(x89433,f315(f315(f123(x89431),f315(f315(f127(x89431),f315(f178(f894(x89431)),x89432)),x89434)),x89435))+~P107(f315(f315(f223(a893),f315(f178(f894(x89431)),x89432)),f315(f178(f894(x89431)),x89434)))
% 201.34/201.10 [10192]~P107(f315(x101925,x101924))+~P107(f315(f54(x101922),f315(f250(x101922),x101925)))+P107(f315(f54(x101921),f315(f250(x101921),f315(f315(f9(x101921,x101922,a891),x101923),x101924))))+~P107(f315(f54(x101921),f315(f250(x101921),f315(f315(f10(f901(x101922,a891),a891,x101921),f80(x101922)),f315(f315(f10(f901(x101922,a891),f901(x101922,a891),x101921),f315(f20(x101922,a891,a891),f315(f315(f10(a891,f901(a891,a891),x101922),a313),x101925))),x101923)))))
% 201.34/201.10 [10268]~P107(f315(f54(x102682),x102685))+~P107(f315(f315(f317(x102682),x102684),x102685))+P107(f315(f54(x102681),f315(f250(x102681),f315(f315(f9(x102681,x102682,a891),x102683),x102684))))+~P107(f315(f54(x102681),f315(f250(x102681),f315(f315(f10(f901(x102682,a891),a891,x102681),f80(x102682)),f315(f315(f10(f901(x102682,a891),f901(x102682,a891),x102681),f315(f20(x102682,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102682),a313),f315(f315(f9(x102682,f901(x102682,a891),a891),f317(x102682)),x102685)))),x102683)))))
% 201.34/201.10 [8598]~P19(x85985,x85981,x85986,x85982)+E(f315(f66(x85981,x85981,x85981,f315(x85982,x85983)),f315(x85982,x85984)),f315(f66(x85981,x85981,x85981,f315(x85982,x85984)),f315(x85982,x85983)))+~P107(f315(f54(x85985),x85984))+~P107(f315(f54(x85985),x85983))
% 201.34/201.10 [7992]~P26(x79921,x79922,x79924,x79923)+~E(f315(x79924,x79926),x79925)+E(f315(f70(x79921,x79922,x79923,x79924),x79925),x79926)+~P107(f315(f315(f317(x79921),x79926),x79923))
% 201.34/201.10 [7993]~P26(x79931,x79932,x79934,x79933)+~E(f315(x79934,x79936),x79935)+E(f315(f84(x79931,x79932,x79933,x79934),x79935),x79936)+~P107(f315(f315(f317(x79931),x79936),x79933))
% 201.34/201.10 [8186]~P20(x81866,x81861,x81864,x81862)+E(f315(f66(x81861,x81861,x81861,f315(x81862,x81863)),f315(x81864,x81865)),f315(x81862,x81863))+~P107(f315(f54(x81866),x81863))+~P107(f315(f315(f317(x81866),x81865),x81863))
% 201.34/201.10 [9313]E(x93131,x93132)+~E(f315(f84(x93133,x93134,x93135,x93136),x93131),f315(f84(x93133,x93134,x93135,x93136),x93132))+~P107(f315(f315(f317(x93134),x93132),f315(f298(x93133,x93134,x93136),x93135)))+~P107(f315(f315(f317(x93134),x93131),f315(f298(x93133,x93134,x93136),x93135)))
% 201.34/201.10 [9413]~P19(x94133,x94131,x94136,x94132)+E(f315(f66(x94131,x94131,x94131,f315(x94132,f315(f315(f3(f901(x94133,a891)),x94134),f315(f315(f297(x94133),x94135),f177(f901(x94133,a891)))))),f315(x94136,x94135)),f315(x94132,x94134))+~P107(f315(f54(x94133),x94134))+~P107(f315(f315(f317(x94133),x94135),x94134))
% 201.34/201.10 [7071]~P63(x70711)+~E(f38(x70711,x70713,x70714),f38(x70711,x70716,x70714))+~E(f38(x70711,x70712,x70714),f38(x70711,x70715,x70714))+E(f38(x70711,f315(f315(f3(x70711),x70712),x70713),x70714),f38(x70711,f315(f315(f3(x70711),x70715),x70716),x70714))
% 201.34/201.10 [7072]~P62(x70721)+~E(f38(x70721,x70723,x70724),f38(x70721,x70726,x70724))+~E(f38(x70721,x70722,x70724),f38(x70721,x70725,x70724))+E(f38(x70721,f315(f315(f74(x70721),x70722),x70723),x70724),f38(x70721,f315(f315(f74(x70721),x70725),x70726),x70724))
% 201.34/201.10 [7073]~P62(x70731)+~E(f38(x70731,x70733,x70734),f38(x70731,x70736,x70734))+~E(f38(x70731,x70732,x70734),f38(x70731,x70735,x70734))+E(f38(x70731,f315(f315(f73(x70731),x70732),x70733),x70734),f38(x70731,f315(f315(f73(x70731),x70735),x70736),x70734))
% 201.34/201.10 [7887]~P16(x78871,x78872,x78873)+~P107(f315(f54(x78871),x78876))+E(f315(f315(f57(x78871,x78872,x78873),x78874),f315(f315(f297(x78871),x78875),x78876)),f315(f315(f57(x78871,x78872,x78873),f315(f315(x78873,x78875),x78874)),x78876))+P107(f315(f315(f317(x78871),x78875),x78876))
% 201.34/201.10 [7951]~P5(x79511)+P107(f315(f315(f223(x79511),x79512),f315(x79513,x79514)))+~P107(f315(f315(f317(x79515),x79514),x79516))+~P107(f315(f315(f223(x79511),x79512),f315(f315(f32(x79515,x79511),x79516),x79513)))
% 201.34/201.10 [8108]~P16(x81081,x81082,x81083)+~P107(f315(f54(x81081),x81086))+E(f315(f315(f57(x81081,x81082,x81083),x81084),f315(f315(f297(x81081),x81085),x81086)),f315(f315(x81083,x81085),f315(f315(f57(x81081,x81082,x81083),x81084),x81086)))+P107(f315(f315(f317(x81081),x81085),x81086))
% 201.34/201.10 [8204]~P110(x82043)+~P107(f315(x82042,x82045))+~P13(x82043,f315(f315(f143(x82041,x82043),x82044),x82046))+E(f315(f125(x82041,x82042),f315(f315(f137(x82041,x82043,x82044),x82045),x82046)),f315(f315(f137(x82041,x82043,x82044),x82045),f315(f125(x82041,x82042),x82046)))
% 201.34/201.10 [8227]E(x82271,x82272)+E(x82273,f2(a1))+~P107(f315(f42(x82274,x82273),f315(f315(f240(a1,a1),x82275),x82272)))+~P107(f315(f42(x82274,x82273),f315(f315(f240(a1,a1),x82276),x82271)))
% 201.34/201.10 [8228]E(x82281,x82282)+E(x82283,f2(a1))+~P107(f315(f42(x82284,x82283),f315(f315(f240(a1,a1),x82282),x82285)))+~P107(f315(f42(x82284,x82283),f315(f315(f240(a1,a1),x82281),x82286)))
% 201.34/201.10 [8251]~P19(x82512,x82515,x82516,x82511)+~P107(f315(f54(x82512),x82514))+E(f315(x82511,f315(f315(f297(x82512),x82513),x82514)),f315(f66(x82515,x82515,x82515,f315(x82511,x82514)),f315(x82516,x82513)))+P107(f315(f315(f317(x82512),x82513),x82514))
% 201.34/201.11 [8472]~P20(x84725,x84721,x84726,x84722)+E(f315(f66(x84721,x84721,x84721,f315(x84722,x84723)),f315(x84722,x84724)),f315(x84722,x84723))+~P107(f315(f54(x84725),x84723))+~P107(f315(f315(f223(f901(x84725,a891)),x84724),x84723))
% 201.34/201.11 [9628]~P26(x96281,x96282,x96284,x96283)+~P107(f315(f315(f317(x96282),x96285),f315(f298(x96281,x96282,x96284),x96283)))+P107(f315(f315(f317(x96281),f315(f70(x96281,x96282,x96283,x96284),x96285)),x96286))+~P107(f315(f315(f223(f901(x96281,a891)),x96283),x96286))
% 201.34/201.11 [10001]~P76(x100012)+~E(f566(x100011,x100013,x100015,x100016,x100014,x100012),f567(x100011,x100013,x100015,x100016,x100014,x100012))+~P107(f315(f54(x100014),x100016))+E(f315(f315(f8(x100011,x100012),x100013),f315(f298(x100014,x100011,x100015),x100016)),f315(f315(f8(x100014,x100012),f315(f66(x100011,x100012,x100014,x100013),x100015)),x100016))
% 201.34/201.11 [10029]~P76(x100296)+E(f315(x100291,f566(x100292,x100293,x100291,x100294,x100295,x100296)),f315(x100291,f567(x100292,x100293,x100291,x100294,x100295,x100296)))+E(f315(f315(f8(x100292,x100296),x100293),f315(f298(x100295,x100292,x100291),x100294)),f315(f315(f8(x100295,x100296),f315(f66(x100292,x100296,x100295,x100293),x100291)),x100294))+~P107(f315(f54(x100295),x100294))
% 201.34/201.11 [10079]~P76(x100792)+~E(f315(x100793,f315(x100795,f567(x100791,x100793,x100795,x100796,x100794,x100792))),f2(x100792))+~P107(f315(f54(x100794),x100796))+E(f315(f315(f8(x100791,x100792),x100793),f315(f298(x100794,x100791,x100795),x100796)),f315(f315(f8(x100794,x100792),f315(f66(x100791,x100792,x100794,x100793),x100795)),x100796))
% 201.34/201.11 [10137]~P76(x101372)+~P107(f315(f54(x101374),x101376))+E(f315(f315(f8(x101371,x101372),x101373),f315(f298(x101374,x101371,x101375),x101376)),f315(f315(f8(x101374,x101372),f315(f66(x101371,x101372,x101374,x101373),x101375)),x101376))+P107(f315(f315(f317(x101374),f567(x101371,x101373,x101375,x101376,x101374,x101372)),x101376))
% 201.34/201.11 [10138]~P76(x101382)+~P107(f315(f54(x101384),x101386))+E(f315(f315(f8(x101381,x101382),x101383),f315(f298(x101384,x101381,x101385),x101386)),f315(f315(f8(x101384,x101382),f315(f66(x101381,x101382,x101384,x101383),x101385)),x101386))+P107(f315(f315(f317(x101384),f566(x101381,x101383,x101385,x101386,x101384,x101382)),x101386))
% 201.34/201.11 [10267]~P72(x102671)+~P107(f315(f54(x102672),x102676))+E(f315(f315(f315(f58(x102671,x102672,f74(x102671)),f315(f315(f20(x102672,f901(x102673,a891),x102671),f315(f315(f9(x102672,x102671,f901(f901(x102673,a891),x102671)),f315(f315(f10(f901(x102673,x102671),f901(x102671,f901(f901(x102673,a891),x102671)),x102672),f58(x102671,x102673,f74(x102671))),x102674)),f71(x102671))),x102675)),f71(x102671)),x102676),f315(f315(f315(f58(x102671,f900(x102672,x102673),f74(x102671)),f315(f245(x102672,x102673,x102671),x102674)),f71(x102671)),f315(f315(f242(x102672,x102673),x102676),x102675)))+P107(f315(f315(f317(x102672),f518(x102674,x102675,x102673,x102676,x102672,x102671)),x102676))
% 201.34/201.11 [10289]~P72(x102891)+~P107(f315(f54(x102892),x102896))+E(f315(f315(f315(f58(x102891,x102892,f74(x102891)),f315(f315(f20(x102892,f901(x102893,a891),x102891),f315(f315(f9(x102892,x102891,f901(f901(x102893,a891),x102891)),f315(f315(f10(f901(x102893,x102891),f901(x102891,f901(f901(x102893,a891),x102891)),x102892),f58(x102891,x102893,f74(x102891))),x102894)),f71(x102891))),x102895)),f71(x102891)),x102896),f315(f315(f315(f58(x102891,f900(x102892,x102893),f74(x102891)),f315(f245(x102892,x102893,x102891),x102894)),f71(x102891)),f315(f315(f242(x102892,x102893),x102896),x102895)))+~P107(f315(f54(x102893),f315(x102895,f518(x102894,x102895,x102893,x102896,x102892,x102891))))
% 201.34/201.11 [8382]~P20(x83822,x83825,x83826,x83821)+~P107(f315(f54(x83822),x83824))+~P107(f315(f54(x83822),x83823))+E(f315(x83821,f315(f315(f99(f901(x83822,a891)),x83823),x83824)),f315(f66(x83825,x83825,x83825,f315(x83821,x83823)),f315(x83821,x83824)))
% 201.34/201.11 [8599]~P5(x85991)+P107(f315(f315(f223(x85991),f315(x85992,x85993)),x85994))+~P107(f315(f315(f317(x85995),x85993),x85996))+~P107(f315(f315(f223(x85991),f315(f315(f33(x85995,x85991),x85996),x85992)),x85994))
% 201.34/201.11 [9029]~P26(x90292,x90291,x90293,x90296)+E(f315(f315(f3(f901(x90291,a891)),f315(f298(x90292,x90291,x90293),x90294)),f315(f298(x90292,x90291,x90293),x90295)),f315(f298(x90292,x90291,x90293),f315(f315(f3(f901(x90292,a891)),x90294),x90295)))+~P107(f315(f315(f223(f901(x90292,a891)),x90295),x90296))+~P107(f315(f315(f223(f901(x90292,a891)),x90294),x90296))
% 201.34/201.11 [9030]~P26(x90302,x90301,x90303,x90306)+E(f315(f315(f90(f901(x90301,a891)),f315(f298(x90302,x90301,x90303),x90304)),f315(f298(x90302,x90301,x90303),x90305)),f315(f298(x90302,x90301,x90303),f315(f315(f90(f901(x90302,a891)),x90304),x90305)))+~P107(f315(f315(f223(f901(x90302,a891)),x90305),x90306))+~P107(f315(f315(f223(f901(x90302,a891)),x90304),x90306))
% 201.34/201.11 [9287]E(x92871,x92872)+~P56(x92873,x92874,x92875)+~P107(f315(f315(f317(f900(x92873,x92874)),f315(f315(f240(x92873,x92874),x92876),x92872)),x92875))+~P107(f315(f315(f317(f900(x92873,x92874)),f315(f315(f240(x92873,x92874),x92876),x92871)),x92875))
% 201.34/201.11 [10075]~P70(x100751)+~E(f315(x100753,f811(x100754,x100756,x100753,x100755,x100752,x100751)),f315(x100756,f811(x100754,x100756,x100753,x100755,x100752,x100751)))+~P107(f315(f54(x100752),x100755))+E(f315(f315(f315(f58(x100751,x100752,f74(x100751)),x100753),x100754),x100755),f315(f315(f315(f58(x100751,x100752,f74(x100751)),x100756),x100754),x100755))
% 201.34/201.11 [10135]~P70(x101351)+~P107(f315(f54(x101352),x101355))+E(f315(f315(f315(f58(x101351,x101352,f74(x101351)),x101353),x101354),x101355),f315(f315(f315(f58(x101351,x101352,f74(x101351)),x101356),x101354),x101355))+P107(f315(f315(f317(x101352),f811(x101354,x101353,x101356,x101355,x101352,x101351)),x101355))
% 201.34/201.11 [8827]~P70(x88271)+~P107(f315(f54(x88272),x88276))+P107(f315(f315(f317(x88272),x88275),x88276))+E(f315(f315(f315(f58(x88271,x88272,f74(x88271)),x88273),x88274),f315(f315(f297(x88272),x88275),x88276)),f315(f315(f74(x88271),f315(x88273,x88275)),f315(f315(f315(f58(x88271,x88272,f74(x88271)),x88273),x88274),x88276)))
% 201.34/201.11 [8880]~P8(x88801,x88806,x88803)+~P11(x88801,f901(x88802,a891),x88803,x88805)+~P107(f315(f315(f317(x88801),x88804),x88806))+E(f315(f315(f33(x88801,f901(x88802,a891)),f315(f273(x88801,x88801,x88803),f315(f315(f297(x88801),x88804),f177(f901(x88801,a891))))),x88805),f315(x88805,x88804))
% 201.34/201.11 [9006]~P16(x90063,x90064,x90061)+~P107(f315(f54(x90063),x90066))+~P107(f315(f315(f317(x90063),x90062),x90066))+E(f315(f315(x90061,x90062),f315(f315(f57(x90063,x90064,x90061),x90065),f315(f315(f3(f901(x90063,a891)),x90066),f315(f315(f297(x90063),x90062),f177(f901(x90063,a891)))))),f315(f315(f57(x90063,x90064,x90061),x90065),x90066))
% 201.34/201.11 [9297]~P19(x92973,x92971,x92976,x92972)+~P107(f315(f54(x92973),x92975))+~P107(f315(f54(x92973),x92974))+E(f315(f66(x92971,x92971,x92971,f315(x92972,f315(f315(f99(f901(x92973,a891)),x92974),x92975))),f315(x92972,f315(f315(f90(f901(x92973,a891)),x92974),x92975))),f315(f66(x92971,x92971,x92971,f315(x92972,x92974)),f315(x92972,x92975)))
% 201.34/201.11 [9651]~E(x96513,f315(f315(f148(x96511,x96512),x96515),x96516))+P107(f315(f315(f317(f900(f894(x96511),f894(x96511))),f315(f315(f240(f894(x96511),f894(x96511)),x96512),x96513)),f146(x96511,x96514)))+~P107(f315(f315(f224(a893),x96515),f315(f178(f894(x96511)),x96512)))+~P107(f315(f315(f317(f900(x96511,x96511)),f315(f315(f240(x96511,x96511),f315(f315(f153(x96511),x96512),x96515)),x96516)),x96514))
% 201.34/201.11 [10151]~P76(x101512)+~P107(f315(f54(x101511),x101516))+P107(f315(f315(f317(x101511),f521(x101514,x101515,x101513,x101516,x101511,x101512)),x101516))+E(f315(f315(f8(x101511,x101512),f315(f315(f20(x101511,f901(x101513,a891),x101512),f315(f315(f10(f901(x101513,x101512),f901(f901(x101513,a891),x101512),x101511),f8(x101513,x101512)),x101514)),x101515)),x101516),f315(f315(f8(f900(x101511,x101513),x101512),f315(f245(x101511,x101513,x101512),x101514)),f315(f315(f242(x101511,x101513),x101516),x101515)))
% 201.34/201.11 [10152]~P72(x101522)+~P107(f315(f54(x101521),x101526))+P107(f315(f315(f317(x101521),f522(x101524,x101525,x101523,x101526,x101521,x101522)),x101526))+E(f315(f315(f11(x101521,x101522),f315(f315(f20(x101521,f901(x101523,a891),x101522),f315(f315(f10(f901(x101523,x101522),f901(f901(x101523,a891),x101522),x101521),f11(x101523,x101522)),x101524)),x101525)),x101526),f315(f315(f11(f900(x101521,x101523),x101522),f315(f245(x101521,x101523,x101522),x101524)),f315(f315(f242(x101521,x101523),x101526),x101525)))
% 201.34/201.11 [10190]~P76(x101902)+~P107(f315(f54(x101901),x101906))+~P107(f315(f54(x101903),f315(x101905,f521(x101904,x101905,x101903,x101906,x101901,x101902))))+E(f315(f315(f8(x101901,x101902),f315(f315(f20(x101901,f901(x101903,a891),x101902),f315(f315(f10(f901(x101903,x101902),f901(f901(x101903,a891),x101902),x101901),f8(x101903,x101902)),x101904)),x101905)),x101906),f315(f315(f8(f900(x101901,x101903),x101902),f315(f245(x101901,x101903,x101902),x101904)),f315(f315(f242(x101901,x101903),x101906),x101905)))
% 201.34/201.11 [10191]~P72(x101912)+~P107(f315(f54(x101911),x101916))+~P107(f315(f54(x101913),f315(x101915,f522(x101914,x101915,x101913,x101916,x101911,x101912))))+E(f315(f315(f11(x101911,x101912),f315(f315(f20(x101911,f901(x101913,a891),x101912),f315(f315(f10(f901(x101913,x101912),f901(f901(x101913,a891),x101912),x101911),f11(x101913,x101912)),x101914)),x101915)),x101916),f315(f315(f11(f900(x101911,x101913),x101912),f315(f245(x101911,x101913,x101912),x101914)),f315(f315(f242(x101911,x101913),x101916),x101915)))
% 201.34/201.11 [10173]~P72(x101732)+~P107(f315(f54(x101731),x101736))+P107(f315(f315(f317(x101731),x101733),x101736))+E(f315(f315(f11(x101731,x101732),f315(f315(f9(x101731,x101732,x101732),f315(f315(f20(x101731,x101732,f901(x101732,x101732)),f315(f315(f10(a891,f901(x101732,f901(x101732,x101732)),x101731),f85(x101732)),f315(f315(f9(x101731,x101731,a891),a312),x101733))),x101734)),x101735)),x101736),f315(f315(f232(x101732),x101735),f315(f28(x101731),x101736)))
% 201.34/201.11 [10176]~P72(x101762)+~P107(f315(f54(x101761),x101766))+~P107(f315(f315(f317(x101761),x101763),x101766))+E(f315(f315(f11(x101761,x101762),f315(f315(f9(x101761,x101762,x101762),f315(f315(f20(x101761,x101762,f901(x101762,x101762)),f315(f315(f10(a891,f901(x101762,f901(x101762,x101762)),x101761),f85(x101762)),f315(f315(f9(x101761,x101761,a891),a312),x101763))),x101764)),x101765)),x101766),f315(f315(f74(x101762),f315(x101764,x101763)),f315(f315(f232(x101762),x101765),f315(f315(f3(a893),f315(f28(x101761),x101766)),f71(a893)))))
% 201.34/201.11 [10254]~P107(f315(f54(x102541),x102545))+~P107(f315(f54(x102542),x102543))+P107(f315(f315(f317(x102542),f536(x102546,x102544,x102543,x102542,x102545,x102541)),x102543))+E(f315(f315(f8(x102541,a893),f315(f315(f10(f901(x102542,a891),a893,x102541),f28(x102542)),f315(f315(f10(f901(x102542,a891),f901(x102542,a891),x102541),f250(x102542)),f315(f315(f10(f901(x102542,a891),f901(x102542,a891),x102541),f315(f20(x102542,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102542),a313),f315(f315(f9(x102542,f901(x102542,a891),a891),f317(x102542)),x102543)))),x102544)))),x102545),f315(f315(f74(a893),x102546),f315(f28(x102542),x102543)))
% 201.34/201.11 [10255]~P107(f315(f54(x102551),x102555))+~P107(f315(f54(x102552),x102553))+P107(f315(f315(f317(x102552),f537(x102556,x102554,x102553,x102552,x102555,x102551)),x102553))+E(f315(f315(f8(x102551,a893),f315(f315(f10(f901(x102552,a891),a893,x102551),f28(x102552)),f315(f315(f10(f901(x102552,a891),f901(x102552,a891),x102551),f250(x102552)),f315(f315(f10(f901(x102552,a891),f901(x102552,a891),x102551),f315(f20(x102552,a891,a891),f315(f315(f10(a891,f901(a891,a891),x102552),a313),f315(f315(f9(x102552,f901(x102552,a891),a891),f317(x102552)),x102553)))),x102554)))),x102555),f315(f315(f8(x102552,a893),x102556),x102553))
% 201.34/201.11 [10302]~P107(f315(f54(x103022),x103023))+~P107(f315(f54(x103021),x103025))+~E(f315(f28(x103021),f315(f250(x103021),f315(f315(f20(x103021,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103021),a313),f315(f315(f9(x103021,f901(x103021,a891),a891),f317(x103021)),x103025))),f315(f315(f9(x103021,x103022,a891),x103024),f536(x103026,x103024,x103023,x103022,x103025,x103021))))),x103026)+E(f315(f315(f8(x103021,a893),f315(f315(f10(f901(x103022,a891),a893,x103021),f28(x103022)),f315(f315(f10(f901(x103022,a891),f901(x103022,a891),x103021),f250(x103022)),f315(f315(f10(f901(x103022,a891),f901(x103022,a891),x103021),f315(f20(x103022,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103022),a313),f315(f315(f9(x103022,f901(x103022,a891),a891),f317(x103022)),x103023)))),x103024)))),x103025),f315(f315(f74(a893),x103026),f315(f28(x103022),x103023)))
% 201.34/201.11 [10304]~P107(f315(f54(x103042),x103043))+~P107(f315(f54(x103041),x103045))+~E(f315(f28(x103041),f315(f250(x103041),f315(f315(f20(x103041,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103041),a313),f315(f315(f9(x103041,f901(x103041,a891),a891),f317(x103041)),x103045))),f315(f315(f9(x103041,x103042,a891),x103044),f537(x103046,x103044,x103043,x103042,x103045,x103041))))),f315(x103046,f537(x103046,x103044,x103043,x103042,x103045,x103041)))+E(f315(f315(f8(x103041,a893),f315(f315(f10(f901(x103042,a891),a893,x103041),f28(x103042)),f315(f315(f10(f901(x103042,a891),f901(x103042,a891),x103041),f250(x103042)),f315(f315(f10(f901(x103042,a891),f901(x103042,a891),x103041),f315(f20(x103042,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103042),a313),f315(f315(f9(x103042,f901(x103042,a891),a891),f317(x103042)),x103043)))),x103044)))),x103045),f315(f315(f8(x103042,a893),x103046),x103043))
% 201.34/201.11 [9927]E(x99271,x99272)+~P16(x99273,x99274,x99275)+~P107(f315(f59(x99273,x99274,x99275,x99276,x99277),x99272))+~P107(f315(f59(x99273,x99274,x99275,x99276,x99277),x99271))
% 201.34/201.11 [9727]P107(f315(x97271,x97272))+~P107(f315(f315(f317(x97277),x97272),f315(x97276,x97274)))+~P107(f315(x97271,f445(x97271,x97276,x97275,x97273,x97277)))+~P107(f315(f315(f317(x97273),x97274),x97275))
% 201.34/201.11 [10165]~P16(x101657,x101656,x101651)+E(f315(f315(x101651,x101652),f600(x101652,x101653,x101654,x101655,x101651,x101656,x101657)),x101653)+~P107(f315(f59(x101657,x101656,x101651,x101655,x101654),x101653))+~P107(f315(f315(f317(x101657),x101652),x101654))
% 201.34/201.11 [10232]~P16(x102321,x102322,x102323)+~P107(f315(f59(x102321,x102322,x102323,x102324,x102325),x102327))+P107(f315(f59(x102321,x102322,x102323,x102324,f315(f315(f3(f901(x102321,a891)),x102325),f315(f315(f297(x102321),x102326),f177(f901(x102321,a891))))),f600(x102326,x102327,x102325,x102324,x102323,x102322,x102321)))+~P107(f315(f315(f317(x102321),x102326),x102325))
% 201.34/201.11 [9369]P27(x93691,x93692,x93693,x93694,x93695)+~P27(x93691,x93692,x93693,x93696,x93697)+~E(f315(f298(x93691,x93692,x93693),x93694),x93695)+~P107(f315(f315(f223(f901(x93691,a891)),x93694),x93696))
% 201.34/201.11 [9619]~P27(x96191,x96192,x96193,x96195,x96197)+~P27(x96191,x96192,x96193,x96194,x96196)+P27(x96191,x96192,x96193,f315(f315(f99(f901(x96191,a891)),x96194),x96195),f315(f315(f99(f901(x96192,a891)),x96196),x96197))+~E(f315(f315(f90(f901(x96192,a891)),x96196),x96197),f177(f901(x96192,a891)))
% 201.34/201.11 [9624]~P70(x96241)+~P26(x96245,x96242,x96246,x96247)+~P107(f315(f54(x96245),x96247))+E(f315(f315(f315(f58(x96241,x96242,f74(x96241)),x96243),x96244),f315(f298(x96245,x96242,x96246),x96247)),f315(f315(f315(f58(x96241,x96245,f74(x96241)),f315(f66(x96242,x96241,x96245,x96243),x96246)),x96244),x96247))
% 201.34/201.11 [9750]~E(f315(f315(f297(x97501),x97505),x97506),f315(f315(f297(x97501),x97502),x97503))+~P107(f315(f59(x97501,x97501,x97504,x97502,x97503),x97507))+P107(f315(f315(f317(x97501),x97502),x97503))+P107(f315(f55(x97501,x97504,f315(f315(f297(x97501),x97505),x97506)),x97507))
% 201.34/201.11 [9834]P107(f315(x98341,x98342))+~P107(f315(f315(f317(x98343),x98342),f315(x98344,x98347)))+~P107(f315(f315(f317(x98346),x98347),x98345))+P107(f315(f315(f317(x98343),f445(x98341,x98344,x98345,x98346,x98343)),f315(f315(f33(x98346,f901(x98343,a891)),x98345),x98344)))
% 201.34/201.11 [9851]~P26(x98512,x98511,x98515,x98514)+~P26(x98511,x98513,x98516,f315(f298(x98512,x98511,x98515),x98514))+E(f315(f315(f66(x98511,x98512,x98513,f70(x98512,x98511,x98514,x98515)),f70(x98511,x98513,f315(f298(x98512,x98511,x98515),x98514),x98516)),x98517),f315(f70(x98512,x98513,x98514,f315(f66(x98511,x98513,x98512,x98516),x98515)),x98517))+~P107(f315(f315(f317(x98513),x98517),f315(f298(x98511,x98513,x98516),f315(f298(x98512,x98511,x98515),x98514))))
% 201.34/201.11 [9852]~P26(x98522,x98521,x98525,x98524)+~P26(x98521,x98523,x98526,f315(f298(x98522,x98521,x98525),x98524))+E(f315(f315(f66(x98521,x98522,x98523,f84(x98522,x98521,x98524,x98525)),f84(x98521,x98523,f315(f298(x98522,x98521,x98525),x98524),x98526)),x98527),f315(f84(x98522,x98523,x98524,f315(f66(x98521,x98523,x98522,x98526),x98525)),x98527))+~P107(f315(f315(f317(x98523),x98527),f315(f298(x98521,x98523,x98526),f315(f298(x98522,x98521,x98525),x98524))))
% 201.34/201.11 [10166]~P16(x101667,x101666,x101661)+E(f315(f315(x101661,x101662),f724(x101663,x101664,x101662,x101665,x101661,x101666,x101667)),x101663)+P107(f315(f315(f317(x101667),x101662),x101664))+~P107(f315(f59(x101667,x101666,x101661,x101665,f315(f315(f297(x101667),x101662),x101664)),x101663))
% 201.34/201.11 [10231]~P16(x102311,x102314,x102315)+P107(f315(f59(x102311,x102314,x102315,x102316,x102313),f724(x102317,x102313,x102312,x102316,x102315,x102314,x102311)))+P107(f315(f315(f317(x102311),x102312),x102313))+~P107(f315(f59(x102311,x102314,x102315,x102316,f315(f315(f297(x102311),x102312),x102313)),x102317))
% 201.34/201.11 [9909]E(x99091,f2(a1))+~P107(f315(f42(x99093,x99091),f315(f315(f240(a1,a1),x99095),x99097)))+~P107(f315(f42(x99092,x99091),f315(f315(f240(a1,a1),x99094),x99096)))+P107(f315(f42(f315(f315(f73(a1),x99092),x99093),x99091),f315(f315(f240(a1,a1),f315(f315(f73(a1),f315(f315(f73(a1),x99094),x99095)),f315(f315(f29(a1),f315(f315(f73(a1),x99096),x99097)),x99091))),f38(a1,f315(f315(f73(a1),x99096),x99097),x99091))))
% 201.34/201.11 [9911]~P107(f315(f315(f224(a893),f2(a893)),x99113))+~P107(f315(f41(x99112,x99113),f315(f315(f240(a893,a893),x99115),x99117)))+~P107(f315(f41(x99111,x99113),f315(f315(f240(a893,a893),x99114),x99116)))+P107(f315(f41(f315(f315(f73(a893),x99111),x99112),x99113),f315(f315(f240(a893,a893),f315(f315(f73(a893),f315(f315(f73(a893),x99114),x99115)),f315(f315(f29(a893),f315(f315(f73(a893),x99116),x99117)),x99113))),f38(a893,f315(f315(f73(a893),x99116),x99117),x99113))))
% 201.34/201.11 [10301]~P76(x103012)+~P107(f315(f54(x103013),x103015))+~P107(f315(f54(x103011),x103017))+E(f315(f315(f8(x103011,x103012),f315(f315(f20(x103011,f901(x103013,a891),x103012),f315(f315(f10(f901(x103013,x103012),f901(f901(x103013,a891),x103012),x103011),f8(x103013,x103012)),x103014)),f315(f315(f10(f901(x103013,a891),f901(x103013,a891),x103011),f250(x103013)),f315(f315(f10(f901(x103013,a891),f901(x103013,a891),x103011),f315(f20(x103013,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103013),a313),f315(f315(f9(x103013,f901(x103013,a891),a891),f317(x103013)),x103015)))),x103016)))),x103017),f315(f315(f8(x103013,x103012),f315(f315(f20(x103013,f901(x103011,a891),x103012),f315(f315(f10(f901(x103011,x103012),f901(f901(x103011,a891),x103012),x103013),f8(x103011,x103012)),f315(f9(x103011,x103013,x103012),x103014))),f315(f315(f10(f901(x103011,a891),f901(x103011,a891),x103013),f250(x103011)),f315(f315(f10(f901(x103011,a891),f901(x103011,a891),x103013),f315(f20(x103011,a891,a891),f315(f315(f10(a891,f901(a891,a891),x103011),a313),f315(f315(f9(x103011,f901(x103011,a891),a891),f317(x103011)),x103017)))),f315(f9(x103011,x103013,a891),x103016))))),x103015))
% 201.34/201.11 [10252]~P22(x102528,x102527,x102526,x102525,x102521)+~E(f315(x102522,f837(x102524,x102522,x102523,x102521,x102525,x102526,x102527)),f315(x102524,f837(x102524,x102522,x102523,x102521,x102525,x102526,x102527)))+E(f315(f315(x102521,x102522),x102523),f315(f315(x102521,x102524),x102523))+~P107(f315(f54(x102527),x102523))
% 201.34/201.11 [9786]~P23(x97867,x97866,x97861,x97868,x97862,x97864)+E(f315(f315(x97861,f315(x97862,x97863)),f315(x97864,x97865)),f315(x97864,x97865))+~P107(f315(f54(x97866),x97865))+~P107(f315(f315(f317(x97866),x97863),x97865))
% 201.34/201.11 [9790]~P12(x97906,x97901,x97902,x97908,x97903,x97904)+~P8(x97906,x97907,x97908)+P11(x97901,x97902,x97903,f315(x97904,x97905))+~P107(f315(f315(f317(x97906),x97905),x97907))
% 201.34/201.11 [10274]~P22(x102748,x102745,x102747,x102746,x102741)+E(f315(f315(x102741,x102742),x102743),f315(f315(x102741,x102744),x102743))+~P107(f315(f54(x102745),x102743))+P107(f315(f315(f317(x102745),f837(x102742,x102744,x102743,x102741,x102746,x102747,x102745)),x102743))
% 201.34/201.11 [10351]~P107(f315(f315(x103511,x103516),x103515))+P107(f315(f315(x103511,f824(x103511,x103514,x103515,x103516,x103513,x103512,x103517,x103518)),f828(x103511,x103514,x103515,x103516,x103513,x103512,x103517,x103518)))+P107(f315(f315(x103511,x103512),x103513))+~P107(f315(f315(f317(f900(f900(x103518,x103517),f900(x103518,x103517))),f315(f315(f240(f900(x103518,x103517),f900(x103518,x103517)),f315(f315(f240(x103518,x103517),x103512),x103513)),f315(f315(f240(x103518,x103517),x103516),x103515))),f295(f900(x103518,x103517),x103514)))
% 201.34/201.11 [10352]~P107(f315(f315(x103521,x103526),x103525))+P107(f315(f315(x103521,f816(x103521,x103524,x103523,x103522,x103525,x103526,x103527,x103528)),f817(x103521,x103524,x103523,x103522,x103525,x103526,x103527,x103528)))+P107(f315(f315(x103521,x103522),x103523))+~P107(f315(f315(f317(f900(f900(x103528,x103527),f900(x103528,x103527))),f315(f315(f240(f900(x103528,x103527),f900(x103528,x103527)),f315(f315(f240(x103528,x103527),x103526),x103525)),f315(f315(f240(x103528,x103527),x103522),x103523))),f295(f900(x103528,x103527),x103524)))
% 201.34/201.11 [10362]~P107(f315(f315(x103621,f825(x103621,x103626,x103625,x103624,x103623,x103622,x103627,x103628)),f827(x103621,x103626,x103625,x103624,x103623,x103622,x103627,x103628)))+P107(f315(f315(x103621,x103622),x103623))+~P107(f315(f315(x103621,x103624),x103625))+~P107(f315(f315(f317(f900(f900(x103628,x103627),f900(x103628,x103627))),f315(f315(f240(f900(x103628,x103627),f900(x103628,x103627)),f315(f315(f240(x103628,x103627),x103622),x103623)),f315(f315(f240(x103628,x103627),x103624),x103625))),f295(f900(x103628,x103627),x103626)))
% 201.34/201.11 [10363]~P107(f315(f315(x103631,f818(x103631,x103636,x103633,x103632,x103635,x103634,x103637,x103638)),f819(x103631,x103636,x103633,x103632,x103635,x103634,x103637,x103638)))+P107(f315(f315(x103631,x103632),x103633))+~P107(f315(f315(x103631,x103634),x103635))+~P107(f315(f315(f317(f900(f900(x103638,x103637),f900(x103638,x103637))),f315(f315(f240(f900(x103638,x103637),f900(x103638,x103637)),f315(f315(f240(x103638,x103637),x103634),x103635)),f315(f315(f240(x103638,x103637),x103632),x103633))),f295(f900(x103638,x103637),x103636)))
% 201.34/201.11 [10376]~P107(f315(f315(x103761,x103766),x103767))+P107(f315(f315(x103761,x103762),x103763))+P107(f315(f315(f317(f900(f900(x103764,x103765),f900(x103764,x103765))),f315(f315(f240(f900(x103764,x103765),f900(x103764,x103765)),f315(f315(f240(x103764,x103765),x103766),x103767)),f315(f315(f240(x103764,x103765),f816(x103761,x103768,x103763,x103762,x103767,x103766,x103765,x103764)),f817(x103761,x103768,x103763,x103762,x103767,x103766,x103765,x103764)))),f295(f900(x103764,x103765),x103768)))+~P107(f315(f315(f317(f900(f900(x103764,x103765),f900(x103764,x103765))),f315(f315(f240(f900(x103764,x103765),f900(x103764,x103765)),f315(f315(f240(x103764,x103765),x103766),x103767)),f315(f315(f240(x103764,x103765),x103762),x103763))),f295(f900(x103764,x103765),x103768)))
% 201.34/201.11 [10378]~P107(f315(f315(x103781,x103788),x103787))+P107(f315(f315(x103781,x103782),x103783))+P107(f315(f315(f317(f900(f900(x103784,x103785),f900(x103784,x103785))),f315(f315(f240(f900(x103784,x103785),f900(x103784,x103785)),f315(f315(f240(x103784,x103785),f824(x103781,x103786,x103787,x103788,x103783,x103782,x103785,x103784)),f828(x103781,x103786,x103787,x103788,x103783,x103782,x103785,x103784))),f315(f315(f240(x103784,x103785),x103788),x103787))),f295(f900(x103784,x103785),x103786)))+~P107(f315(f315(f317(f900(f900(x103784,x103785),f900(x103784,x103785))),f315(f315(f240(f900(x103784,x103785),f900(x103784,x103785)),f315(f315(f240(x103784,x103785),x103782),x103783)),f315(f315(f240(x103784,x103785),x103788),x103787))),f295(f900(x103784,x103785),x103786)))
% 201.34/201.11 [9396]~P19(x93967,x93961,x93968,x93963)+~P107(f315(f54(x93967),x93965))+~P107(f315(f54(x93967),x93964))+E(f315(f66(x93961,x93961,x93962,f315(x93963,x93964)),f315(f66(x93961,x93961,x93962,f315(x93963,x93965)),x93966)),f315(f66(x93961,x93961,x93962,f315(x93963,x93965)),f315(f66(x93961,x93961,x93962,f315(x93963,x93964)),x93966)))
% 201.34/201.11 [9405]~P36(x94051,x94052,x94053,x94054,x94057)+P36(x94051,x94052,x94053,f315(f315(f148(x94051,x94054),x94055),x94056),f315(f315(f148(x94052,x94057),x94055),x94058))+~P107(f315(f315(x94053,x94056),x94058))+~P107(f315(f315(f224(a893),x94055),f315(f178(f894(x94051)),x94054)))
% 201.34/201.11 [9406]~P36(x94061,x94062,x94063,x94064,x94067)+P36(x94061,x94062,x94063,f315(f315(f148(x94061,x94064),x94065),x94066),f315(f315(f148(x94062,x94067),x94065),x94068))+~P107(f315(f315(x94063,x94066),x94068))+~P107(f315(f315(f224(a893),x94065),f315(f178(f894(x94062)),x94067)))
% 201.34/201.11 [9485]~P26(x94852,x94852,x94855,x94856)+~P22(x94853,x94852,x94857,x94858,x94851)+~P107(f315(f54(x94852),x94856))+E(f315(f315(x94851,f315(f66(x94852,x94853,x94852,x94854),x94855)),x94856),f315(f315(x94851,x94854),f315(f298(x94852,x94852,x94855),x94856)))
% 201.34/201.11 [9751]P27(x97511,x97512,x97513,x97514,x97515)+~P27(x97512,x97516,x97517,x97515,x97518)+~P27(x97511,x97516,f315(f66(x97512,x97516,x97511,x97517),x97513),x97514,x97518)+~P107(f315(f315(f223(f901(x97512,a891)),f315(f298(x97511,x97512,x97513),x97514)),x97515))
% 201.34/201.11 [9788]~P24(x97887,x97882,x97885,x97888,x97886,x97881)+~P107(f315(f54(x97882),x97884))+E(f315(x97881,f315(f315(f297(x97882),x97883),x97884)),f315(f315(x97885,f315(x97886,x97883)),f315(x97881,x97884)))+P107(f315(f315(f317(x97882),x97883),x97884))
% 201.34/201.11 [9799]~P23(x97996,x97995,x97991,x97997,x97998,x97992)+E(f315(f315(x97991,f315(x97992,x97993)),f315(x97992,x97994)),f315(x97992,x97994))+~P107(f315(f54(x97995),x97994))+~P107(f315(f315(f223(f901(x97995,a891)),x97993),x97994))
% 201.34/201.11 [9383]P107(f315(f315(f317(f900(f894(x93831),f894(x93831))),f315(f315(f240(f894(x93831),f894(x93831)),x93832),x93833)),f146(x93831,x93834)))+~E(x93833,f315(f315(f123(x93831),x93835),f315(f315(f140(x93831),x93836),x93837)))+~E(x93832,f315(f315(f123(x93831),x93835),f315(f315(f140(x93831),x93838),x93837)))+~P107(f315(f315(f317(f900(x93831,x93831)),f315(f315(f240(x93831,x93831),x93838),x93836)),x93834))
% 201.34/201.11 [9793]~P23(x97936,x97932,x97935,x97937,x97938,x97931)+~P107(f315(f54(x97932),x97934))+~P107(f315(f54(x97932),x97933))+E(f315(x97931,f315(f315(f99(f901(x97932,a891)),x97933),x97934)),f315(f315(x97935,f315(x97931,x97933)),f315(x97931,x97934)))
% 201.34/201.11 [10341]~P26(x103414,x103412,x103415,x103418)+E(f315(f315(f32(x103411,f901(x103412,a891)),x103413),f315(f315(f10(f901(x103414,a891),f901(x103412,a891),x103411),f298(x103414,x103412,x103415)),x103416)),f315(f298(x103414,x103412,x103415),f315(f315(f32(x103411,f901(x103414,a891)),x103413),x103416)))+~P107(f315(f315(f317(x103411),x103417),x103413))+P107(f315(f315(f317(x103411),f508(x103417,x103416,x103413,x103411,x103418,x103415,x103412,x103414)),x103413))
% 201.34/201.11 [10367]~P26(x103674,x103672,x103675,x103677)+E(f315(f315(f32(x103671,f901(x103672,a891)),x103673),f315(f315(f10(f901(x103674,a891),f901(x103672,a891),x103671),f298(x103674,x103672,x103675)),x103676)),f315(f298(x103674,x103672,x103675),f315(f315(f32(x103671,f901(x103674,a891)),x103673),x103676)))+~P107(f315(f315(f317(x103671),x103678),x103673))+~P107(f315(f315(f223(f901(x103674,a891)),f315(x103676,f508(x103678,x103676,x103673,x103671,x103677,x103675,x103672,x103674))),x103677))
% 201.34/201.11 [10379]~P107(f315(f315(x103791,x103798),x103797))+P107(f315(f315(x103791,x103792),x103793))+~P107(f315(f315(f317(f900(f900(x103794,x103795),f900(x103794,x103795))),f315(f315(f240(f900(x103794,x103795),f900(x103794,x103795)),f315(f315(f240(x103794,x103795),x103792),x103793)),f315(f315(f240(x103794,x103795),x103798),x103797))),f295(f900(x103794,x103795),x103796)))+P107(f315(f315(f317(f900(f900(x103794,x103795),f900(x103794,x103795))),f315(f315(f240(f900(x103794,x103795),f900(x103794,x103795)),f315(f315(f240(x103794,x103795),f825(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794)),f827(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794))),f315(f315(f240(x103794,x103795),f824(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794)),f828(x103791,x103796,x103797,x103798,x103793,x103792,x103795,x103794)))),x103796))
% 201.34/201.11 [10380]~P107(f315(f315(x103801,x103808),x103807))+P107(f315(f315(x103801,x103802),x103803))+~P107(f315(f315(f317(f900(f900(x103804,x103805),f900(x103804,x103805))),f315(f315(f240(f900(x103804,x103805),f900(x103804,x103805)),f315(f315(f240(x103804,x103805),x103808),x103807)),f315(f315(f240(x103804,x103805),x103802),x103803))),f295(f900(x103804,x103805),x103806)))+P107(f315(f315(f317(f900(f900(x103804,x103805),f900(x103804,x103805))),f315(f315(f240(f900(x103804,x103805),f900(x103804,x103805)),f315(f315(f240(x103804,x103805),f816(x103801,x103806,x103803,x103802,x103807,x103808,x103805,x103804)),f817(x103801,x103806,x103803,x103802,x103807,x103808,x103805,x103804))),f315(f315(f240(x103804,x103805),f818(x103801,x103806,x103803,x103802,x103807,x103808,x103805,x103804)),f819(x103801,x103806,x103803,x103802,x103807,x103808,x103805,x103804)))),x103806))
% 201.34/201.11 [9861]~P24(x98617,x98615,x98611,x98618,x98612,x98614)+~P107(f315(f54(x98615),x98616))+~P107(f315(f315(f317(x98615),x98613),x98616))+E(f315(f315(x98611,f315(x98612,x98613)),f315(x98614,f315(f315(f3(f901(x98615,a891)),x98616),f315(f315(f297(x98615),x98613),f177(f901(x98615,a891)))))),f315(x98614,x98616))
% 201.34/201.11 [9869]~P24(x98696,x98693,x98691,x98697,x98698,x98692)+~P107(f315(f54(x98693),x98695))+~P107(f315(f54(x98693),x98694))+E(f315(f315(x98691,f315(x98692,f315(f315(f99(f901(x98693,a891)),x98694),x98695))),f315(x98692,f315(f315(f90(f901(x98693,a891)),x98694),x98695))),f315(f315(x98691,f315(x98692,x98694)),f315(x98692,x98695)))
% 201.34/201.11 [9951]P44(x99511,x99512,x99513,x99514,x99515,f315(f315(x99513,x99516),x99517))+~P44(x99511,x99512,x99513,x99514,f315(f315(f3(f901(x99511,a891)),x99515),f315(f315(f297(x99511),x99518),f177(f901(x99511,a891)))),x99519)+~E(f315(f315(x99513,x99516),x99517),f315(f315(x99513,x99518),x99519))+~P107(f315(f315(f317(x99511),x99518),x99515))
% 201.34/201.11 [9893]~P12(x98936,x98937,x98938,x98939,x989310,x98931)+E(f315(f315(x98931,x98932),x98933),f315(f315(x98931,x98934),x98935))+~P107(f315(f315(f317(f900(x98937,x98937)),f315(f315(f240(x98937,x98937),x98933),x98935)),x989310))+~P107(f315(f315(f317(f900(x98936,x98936)),f315(f315(f240(x98936,x98936),x98932),x98934)),x98939))
% 201.34/201.11 [9487]~P80(x94872)+E(x94871,f177(f901(x94872,a891)))+~P107(f315(f54(x94872),x94871))+P107(f315(f315(f317(x94872),f12(x94872,x94871)),x94871))+~P107(f315(f315(f317(x94872),f315(f315(f99(x94872),f582(x94871,x94872)),f588(x94871,x94872))),f315(f315(f297(x94872),f582(x94871,x94872)),f315(f315(f297(x94872),f588(x94871,x94872)),f177(f901(x94872,a891))))))
% 201.34/201.11 [9488]~P80(x94882)+E(x94881,f177(f901(x94882,a891)))+~P107(f315(f54(x94882),x94881))+P107(f315(f315(f317(x94882),f13(x94882,x94881)),x94881))+~P107(f315(f315(f317(x94882),f315(f315(f90(x94882),f603(x94881,x94882)),f619(x94881,x94882))),f315(f315(f297(x94882),f603(x94881,x94882)),f315(f315(f297(x94882),f619(x94881,x94882)),f177(f901(x94882,a891))))))
% 201.34/201.11 [9521]~P70(x95212)+E(x95211,f177(f901(x95212,a891)))+~P107(f315(f54(x95212),x95211))+P107(f315(f315(f317(x95212),f315(f56(x95212,f74(x95212)),x95211)),x95211))+~P107(f315(f315(f317(x95212),f315(f315(f74(x95212),f498(x95211,x95212)),f509(x95211,x95212))),f315(f315(f297(x95212),f498(x95211,x95212)),f315(f315(f297(x95212),f509(x95211,x95212)),f177(f901(x95212,a891))))))
% 201.34/201.11 [9526]~P110(x95262)+E(x95261,f177(f901(x95262,a891)))+~P107(f315(f54(x95262),x95261))+P107(f315(f315(f317(x95262),f14(x95262,f221(x95262),x95261)),x95261))+~P107(f315(f315(f317(x95262),f315(f315(f221(x95262),f887(x95261,x95262)),f888(x95261,x95262))),f315(f315(f297(x95262),f887(x95261,x95262)),f315(f315(f297(x95262),f888(x95261,x95262)),f177(f901(x95262,a891))))))
% 201.34/201.11 [9527]~P110(x95272)+E(x95271,f177(f901(x95272,a891)))+~P107(f315(f54(x95272),x95271))+P107(f315(f315(f317(x95272),f15(x95272,f222(x95272),x95271)),x95271))+~P107(f315(f315(f317(x95272),f315(f315(f222(x95272),f394(x95271,x95272)),f399(x95271,x95272))),f315(f315(f297(x95272),f394(x95271,x95272)),f315(f315(f297(x95272),f399(x95271,x95272)),f177(f901(x95272,a891))))))
% 201.34/201.11 [6626]~P91(x66262)+E(x66261,f2(x66262))+~E(f315(f315(f73(x66262),x66263),x66261),f2(x66262))+~P107(f315(f315(f223(x66262),f2(x66262)),x66263))+~P107(f315(f315(f223(x66262),f2(x66262)),x66261))
% 201.34/201.11 [6627]~P91(x66272)+E(x66271,f2(x66272))+~E(f315(f315(f73(x66272),x66271),x66273),f2(x66272))+~P107(f315(f315(f223(x66272),f2(x66272)),x66273))+~P107(f315(f315(f223(x66272),f2(x66272)),x66271))
% 201.34/201.11 [7172]~P110(x71722)+~P13(x71722,x71721)+E(x71721,f102(x71722))+~P107(f315(f315(f317(x71722),x71723),f315(f161(x71722),f685(x71721,x71722))))+P107(f315(f315(f223(x71722),f705(x71721,x71722)),x71723))
% 201.34/201.11 [7343]~P110(x73431)+E(f16(x73431,x73432),x73433)+~P107(f315(f54(x73431),x73432))+~P107(f315(f315(f223(x73431),x73433),f336(x73433,x73432,x73431)))+~P107(f315(f315(f317(x73431),x73433),x73432))
% 201.34/201.11 [7376]~P110(x73761)+~P13(x73761,x73762)+~P13(x73761,x73763)+P13(x73761,f315(f315(f123(x73761),x73762),x73763))+P107(f315(f315(f317(x73761),f692(x73763,x73762,x73761)),f315(f161(x73761),x73762)))
% 201.34/201.11 [7377]~P110(x73771)+~P13(x73771,x73772)+~P13(x73771,x73773)+P13(x73771,f315(f315(f123(x73771),x73772),x73773))+P107(f315(f315(f317(x73771),f693(x73773,x73772,x73771)),f315(f161(x73771),x73773)))
% 201.34/201.11 [7440]~P110(x74401)+E(f16(x74401,x74402),x74403)+~P107(f315(f54(x74401),x74402))+P107(f315(f315(f317(x74401),f336(x74403,x74402,x74401)),x74402))+~P107(f315(f315(f317(x74401),x74403),x74402))
% 201.34/201.11 [7441]~P110(x74411)+E(f17(x74411,x74412),x74413)+~P107(f315(f54(x74411),x74412))+P107(f315(f315(f317(x74411),f580(x74413,x74412,x74411)),x74412))+~P107(f315(f315(f317(x74411),x74413),x74412))
% 201.34/201.11 [8012]~P110(x80121)+E(f17(x80121,x80122),x80123)+~P107(f315(f54(x80121),x80122))+~P107(f315(f315(f317(x80121),x80123),x80122))+~P107(f315(f315(f223(x80121),f580(x80123,x80122,x80121)),x80123))
% 201.34/201.11 [8330]~P110(x83301)+~P13(x83301,x83302)+~P13(x83301,x83303)+P13(x83301,f315(f315(f123(x83301),x83302),x83303))+~P107(f315(f315(f223(x83301),f692(x83303,x83302,x83301)),f693(x83303,x83302,x83301)))
% 201.34/201.11 [9122]~P80(x91222)+E(x91221,f177(f901(x91222,a891)))+~E(f315(f315(f99(x91222),f315(x91223,f470(x91221,x91223,x91222))),f315(x91223,f478(x91221,x91223,x91222))),f315(x91223,f315(f315(f99(x91222),f470(x91221,x91223,x91222)),f478(x91221,x91223,x91222))))+E(f12(x91222,f315(f298(x91222,x91222,x91223),x91221)),f315(x91223,f12(x91222,x91221)))+~P107(f315(f54(x91222),x91221))
% 201.34/201.11 [9123]~P80(x91232)+E(x91231,f177(f901(x91232,a891)))+~E(f315(f315(f90(x91232),f315(x91233,f471(x91231,x91233,x91232))),f315(x91233,f476(x91231,x91233,x91232))),f315(x91233,f315(f315(f90(x91232),f471(x91231,x91233,x91232)),f476(x91231,x91233,x91232))))+E(f13(x91232,f315(f298(x91232,x91232,x91233),x91231)),f315(x91233,f13(x91232,x91231)))+~P107(f315(f54(x91232),x91231))
% 201.34/201.11 [9124]~P110(x91242)+E(x91241,f177(f901(x91242,a891)))+~E(f315(f315(f221(x91242),f315(x91243,f472(x91241,x91243,x91242))),f315(x91243,f475(x91241,x91243,x91242))),f315(x91243,f315(f315(f221(x91242),f472(x91241,x91243,x91242)),f475(x91241,x91243,x91242))))+E(f16(x91242,f315(f298(x91242,x91242,x91243),x91241)),f315(x91243,f16(x91242,x91241)))+~P107(f315(f54(x91242),x91241))
% 201.34/201.11 [9125]~P110(x91252)+E(x91251,f177(f901(x91252,a891)))+~E(f315(f315(f222(x91252),f315(x91253,f473(x91251,x91253,x91252))),f315(x91253,f474(x91251,x91253,x91252))),f315(x91253,f315(f315(f222(x91252),f473(x91251,x91253,x91252)),f474(x91251,x91253,x91252))))+E(f17(x91252,f315(f298(x91252,x91252,x91253),x91251)),f315(x91253,f17(x91252,x91251)))+~P107(f315(f54(x91252),x91251))
% 201.34/201.11 [9193]~P110(x91932)+E(x91931,f177(f901(x91932,a891)))+~E(f315(f315(f221(x91932),f315(x91933,f465(x91931,x91933,x91932))),f315(x91933,f469(x91931,x91933,x91932))),f315(x91933,f315(f315(f221(x91932),f465(x91931,x91933,x91932)),f469(x91931,x91933,x91932))))+E(f14(x91932,f221(x91932),f315(f298(x91932,x91932,x91933),x91931)),f315(x91933,f14(x91932,f221(x91932),x91931)))+~P107(f315(f54(x91932),x91931))
% 201.34/201.11 [9194]~P110(x91942)+E(x91941,f177(f901(x91942,a891)))+~E(f315(f315(f222(x91942),f315(x91943,f466(x91941,x91943,x91942))),f315(x91943,f468(x91941,x91943,x91942))),f315(x91943,f315(f315(f222(x91942),f466(x91941,x91943,x91942)),f468(x91941,x91943,x91942))))+E(f15(x91942,f222(x91942),f315(f298(x91942,x91942,x91943),x91941)),f315(x91943,f15(x91942,f222(x91942),x91941)))+~P107(f315(f54(x91942),x91941))
% 201.34/201.11 [6643]~P70(x66432)+E(x66431,f177(f901(x66432,a891)))+~P107(f315(f54(x66432),x66431))+E(f315(f56(x66432,f74(x66432)),f315(f315(f297(x66432),x66433),x66431)),f315(f315(f74(x66432),x66433),f315(f56(x66432,f74(x66432)),x66431)))+P107(f315(f315(f317(x66432),x66433),x66431))
% 201.34/201.11 [7178]~P80(x71782)+E(f315(f315(f99(x71782),f12(x71782,x71781)),f12(x71782,x71783)),f12(x71782,x71783))+E(x71781,f177(f901(x71782,a891)))+~P107(f315(f54(x71782),x71783))+~P107(f315(f315(f223(f901(x71782,a891)),x71781),x71783))
% 201.34/201.11 [7179]~P80(x71792)+E(f315(f315(f90(x71792),f13(x71792,x71791)),f13(x71792,x71793)),f13(x71792,x71793))+E(x71791,f177(f901(x71792,a891)))+~P107(f315(f54(x71792),x71793))+~P107(f315(f315(f223(f901(x71792,a891)),x71791),x71793))
% 201.34/201.11 [7180]~P110(x71802)+E(f315(f315(f221(x71802),f16(x71802,x71801)),f16(x71802,x71803)),f16(x71802,x71803))+E(x71801,f177(f901(x71802,a891)))+~P107(f315(f54(x71802),x71803))+~P107(f315(f315(f223(f901(x71802,a891)),x71801),x71803))
% 201.34/201.11 [7181]~P110(x71812)+E(f315(f315(f222(x71812),f17(x71812,x71811)),f17(x71812,x71813)),f17(x71812,x71813))+E(x71811,f177(f901(x71812,a891)))+~P107(f315(f54(x71812),x71813))+~P107(f315(f315(f223(f901(x71812,a891)),x71811),x71813))
% 201.34/201.11 [7488]~P110(x74882)+E(x74881,f177(f901(x74882,a891)))+~P107(f315(f54(x74882),x74883))+P107(f315(f315(f223(x74882),f16(x74882,x74883)),f16(x74882,x74881)))+~P107(f315(f315(f223(f901(x74882,a891)),x74881),x74883))
% 201.34/201.11 [7489]~P110(x74892)+E(x74891,f177(f901(x74892,a891)))+~P107(f315(f54(x74892),x74893))+P107(f315(f315(f223(x74892),f17(x74892,x74891)),f17(x74892,x74893)))+~P107(f315(f315(f223(f901(x74892,a891)),x74891),x74893))
% 201.34/201.11 [7543]~P80(x75431)+E(f12(x75431,x75432),x75433)+~P107(f315(f54(x75431),x75432))+~E(f315(f315(f3(f901(x75431,a891)),x75432),f315(f315(f297(x75431),x75433),f177(f901(x75431,a891)))),f177(f901(x75431,a891)))+~P107(f315(f315(f317(x75431),x75433),x75432))
% 201.34/201.11 [7544]~P80(x75441)+E(f13(x75441,x75442),x75443)+~P107(f315(f54(x75441),x75442))+~E(f315(f315(f3(f901(x75441,a891)),x75442),f315(f315(f297(x75441),x75443),f177(f901(x75441,a891)))),f177(f901(x75441,a891)))+~P107(f315(f315(f317(x75441),x75443),x75442))
% 201.34/201.11 [7545]~P110(x75451)+E(f16(x75451,x75452),x75453)+~P107(f315(f54(x75451),x75452))+~E(f315(f315(f3(f901(x75451,a891)),x75452),f315(f315(f297(x75451),x75453),f177(f901(x75451,a891)))),f177(f901(x75451,a891)))+~P107(f315(f315(f317(x75451),x75453),x75452))
% 201.34/201.11 [7546]~P110(x75461)+E(f17(x75461,x75462),x75463)+~P107(f315(f54(x75461),x75462))+~E(f315(f315(f3(f901(x75461,a891)),x75462),f315(f315(f297(x75461),x75463),f177(f901(x75461,a891)))),f177(f901(x75461,a891)))+~P107(f315(f315(f317(x75461),x75463),x75462))
% 201.34/201.11 [7641]~P110(x76411)+E(f14(x76411,f221(x76411),x76412),x76413)+~P107(f315(f54(x76411),x76412))+~E(f315(f315(f3(f901(x76411,a891)),x76412),f315(f315(f297(x76411),x76413),f177(f901(x76411,a891)))),f177(f901(x76411,a891)))+~P107(f315(f315(f317(x76411),x76413),x76412))
% 201.34/201.11 [7642]~P110(x76421)+E(f15(x76421,f222(x76421),x76422),x76423)+~P107(f315(f54(x76421),x76422))+~E(f315(f315(f3(f901(x76421,a891)),x76422),f315(f315(f297(x76421),x76423),f177(f901(x76421,a891)))),f177(f901(x76421,a891)))+~P107(f315(f315(f317(x76421),x76423),x76422))
% 201.34/201.11 [7677]~P103(x76772)+E(x76771,f177(f901(x76772,a891)))+~P107(f315(f54(x76772),x76771))+~P107(f315(f315(f223(x76772),x76773),f560(x76773,x76771,x76772)))+P107(f315(f315(f223(x76772),x76773),f315(f56(x76772,f90(x76772)),x76771)))
% 201.34/201.11 [7678]~P110(x76782)+E(x76781,f177(f901(x76782,a891)))+~P107(f315(f54(x76782),x76781))+~P107(f315(f315(f223(x76782),x76783),f882(x76783,x76781,x76782)))+P107(f315(f315(f223(x76782),x76783),f315(f56(x76782,f221(x76782)),x76781)))
% 201.34/201.11 [7679]~P110(x76792)+E(x76791,f177(f901(x76792,a891)))+~P107(f315(f54(x76792),x76791))+~P107(f315(f315(f224(x76792),x76793),f884(x76793,x76791,x76792)))+P107(f315(f315(f224(x76792),x76793),f315(f56(x76792,f221(x76792)),x76791)))
% 201.34/201.11 [7766]~P103(x77662)+E(x77661,f177(f901(x77662,a891)))+~P107(f315(f54(x77662),x77661))+P107(f315(f315(f317(x77662),f560(x77663,x77661,x77662)),x77661))+P107(f315(f315(f223(x77662),x77663),f315(f56(x77662,f90(x77662)),x77661)))
% 201.34/201.11 [7767]~P110(x77672)+E(x77671,f177(f901(x77672,a891)))+~P107(f315(f54(x77672),x77671))+P107(f315(f315(f317(x77672),f882(x77673,x77671,x77672)),x77671))+P107(f315(f315(f223(x77672),x77673),f315(f56(x77672,f221(x77672)),x77671)))
% 201.34/201.11 [7768]~P110(x77682)+E(x77681,f177(f901(x77682,a891)))+~P107(f315(f54(x77682),x77681))+P107(f315(f315(f317(x77682),f884(x77683,x77681,x77682)),x77681))+P107(f315(f315(f224(x77682),x77683),f315(f56(x77682,f221(x77682)),x77681)))
% 201.34/201.11 [7889]~P110(x78892)+E(x78891,f177(f901(x78892,a891)))+E(f315(f315(f221(x78892),f14(x78892,f221(x78892),x78891)),f14(x78892,f221(x78892),x78893)),f14(x78892,f221(x78892),x78893))+~P107(f315(f54(x78892),x78893))+~P107(f315(f315(f223(f901(x78892,a891)),x78891),x78893))
% 201.34/201.11 [7890]~P110(x78902)+E(x78901,f177(f901(x78902,a891)))+E(f315(f315(f222(x78902),f15(x78902,f222(x78902),x78901)),f15(x78902,f222(x78902),x78903)),f15(x78902,f222(x78902),x78903))+~P107(f315(f54(x78902),x78903))+~P107(f315(f315(f223(f901(x78902,a891)),x78901),x78903))
% 201.34/201.11 [8089]~E(f785(x80891,x80893,x80892),f770(x80891,x80893,x80892))+~E(f315(f28(x80892),f764(x80891,x80893,x80892)),x80891)+E(f315(f315(f74(a893),x80891),f315(f28(f901(x80892,a891)),x80893)),f315(f28(x80892),f30(f901(x80892,a891),x80893)))+~P107(f315(f54(x80892),f30(f901(x80892,a891),x80893)))+~P107(f315(f54(f901(x80892,a891)),x80893))
% 201.34/201.11 [8270]~P110(x82702)+E(x82701,f177(f901(x82702,a891)))+~P107(f315(f54(x82702),x82703))+P107(f315(f315(f223(x82702),f315(f56(x82702,f221(x82702)),x82703)),f315(f56(x82702,f221(x82702)),x82701)))+~P107(f315(f315(f223(f901(x82702,a891)),x82701),x82703))
% 201.34/201.11 [8569]~E(f785(x85691,x85693,x85692),f770(x85691,x85693,x85692))+E(f315(f315(f74(a893),x85691),f315(f28(f901(x85692,a891)),x85693)),f315(f28(x85692),f30(f901(x85692,a891),x85693)))+P107(f315(f315(f317(f901(x85692,a891)),f764(x85691,x85693,x85692)),x85693))+~P107(f315(f54(x85692),f30(f901(x85692,a891),x85693)))+~P107(f315(f54(f901(x85692,a891)),x85693))
% 201.34/201.11 [8595]~E(f315(f28(x85952),f764(x85951,x85953,x85952)),x85951)+E(f315(f315(f74(a893),x85951),f315(f28(f901(x85952,a891)),x85953)),f315(f28(x85952),f30(f901(x85952,a891),x85953)))+P107(f315(f315(f317(f901(x85952,a891)),f770(x85951,x85953,x85952)),x85953))+~P107(f315(f54(x85952),f30(f901(x85952,a891),x85953)))+~P107(f315(f54(f901(x85952,a891)),x85953))
% 201.34/201.11 [8596]~E(f315(f28(x85962),f764(x85961,x85963,x85962)),x85961)+E(f315(f315(f74(a893),x85961),f315(f28(f901(x85962,a891)),x85963)),f315(f28(x85962),f30(f901(x85962,a891),x85963)))+P107(f315(f315(f317(f901(x85962,a891)),f785(x85961,x85963,x85962)),x85963))+~P107(f315(f54(x85962),f30(f901(x85962,a891),x85963)))+~P107(f315(f54(f901(x85962,a891)),x85963))
% 201.34/201.11 [8621]~E(f315(f28(x86212),f764(x86211,x86213,x86212)),x86211)+~E(f315(f315(f90(f901(x86212,a891)),f770(x86211,x86213,x86212)),f785(x86211,x86213,x86212)),f177(f901(x86212,a891)))+E(f315(f315(f74(a893),x86211),f315(f28(f901(x86212,a891)),x86213)),f315(f28(x86212),f30(f901(x86212,a891),x86213)))+~P107(f315(f54(f901(x86212,a891)),x86213))+~P107(f315(f54(x86212),f30(f901(x86212,a891),x86213)))
% 201.34/201.11 [8886]E(f315(f315(f74(a893),x88861),f315(f28(f901(x88862,a891)),x88863)),f315(f28(x88862),f30(f901(x88862,a891),x88863)))+P107(f315(f315(f317(f901(x88862,a891)),f764(x88861,x88863,x88862)),x88863))+P107(f315(f315(f317(f901(x88862,a891)),f770(x88861,x88863,x88862)),x88863))+~P107(f315(f54(f901(x88862,a891)),x88863))+~P107(f315(f54(x88862),f30(f901(x88862,a891),x88863)))
% 201.34/201.11 [8887]E(f315(f315(f74(a893),x88871),f315(f28(f901(x88872,a891)),x88873)),f315(f28(x88872),f30(f901(x88872,a891),x88873)))+P107(f315(f315(f317(f901(x88872,a891)),f764(x88871,x88873,x88872)),x88873))+P107(f315(f315(f317(f901(x88872,a891)),f785(x88871,x88873,x88872)),x88873))+~P107(f315(f54(f901(x88872,a891)),x88873))+~P107(f315(f54(x88872),f30(f901(x88872,a891),x88873)))
% 201.34/201.11 [8913]~E(f315(f315(f90(f901(x89132,a891)),f770(x89131,x89133,x89132)),f785(x89131,x89133,x89132)),f177(f901(x89132,a891)))+E(f315(f315(f74(a893),x89131),f315(f28(f901(x89132,a891)),x89133)),f315(f28(x89132),f30(f901(x89132,a891),x89133)))+~P107(f315(f54(f901(x89132,a891)),x89133))+P107(f315(f315(f317(f901(x89132,a891)),f764(x89131,x89133,x89132)),x89133))+~P107(f315(f54(x89132),f30(f901(x89132,a891),x89133)))
% 201.34/201.11 [9168]~P99(x91682)+E(x91681,f177(f901(x91682,a891)))+~E(f315(f315(f74(x91682),f315(x91683,f479(x91681,x91683,x91682))),f315(x91683,f480(x91681,x91683,x91682))),f315(x91683,f315(f315(f74(x91682),f479(x91681,x91683,x91682)),f480(x91681,x91683,x91682))))+~P107(f315(f54(x91682),x91681))+E(f315(f56(x91682,f74(x91682)),f315(f298(x91682,x91682,x91683),x91681)),f315(x91683,f315(f56(x91682,f74(x91682)),x91681)))
% 201.34/201.11 [10109]P107(f315(f315(x101091,x101092),x101093))+P107(f315(f315(f224(a1),f377(x101091,x101093,x101092)),f378(x101091,x101093,x101092)))+P107(f315(f315(f223(a1),f378(x101091,x101093,x101092)),f2(a1)))+P107(f315(f315(x101091,f377(x101091,x101093,x101092)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f378(x101091,x101093,x101092))))+~P107(f315(f303(f900(a1,a1),a51),f315(f315(f240(a1,a1),x101092),x101093)))
% 201.34/201.11 [10115]P107(f315(f315(x101151,x101152),x101153))+P107(f315(f315(f223(a1),f376(x101151,x101153,x101152)),f2(a1)))+P107(f315(f315(x101151,f373(x101151,x101153,x101152)),f315(f315(f74(a1),f315(f92(a1),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f376(x101151,x101153,x101152))))+P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),f373(x101151,x101153,x101152)),f376(x101151,x101153,x101152))))+~P107(f315(f303(f900(a1,a1),a45),f315(f315(f240(a1,a1),x101152),x101153)))
% 201.34/201.11 [8061]~P120(x80611)+~P107(f315(f315(f223(x80611),x80612),f71(x80611)))+~P107(f315(f315(f223(x80611),f2(x80611)),x80612))+~P107(f315(f315(f223(x80611),f2(x80611)),x80613))+P107(f315(f315(f223(x80611),f315(f315(f74(x80611),x80612),x80613)),x80613))
% 201.34/201.11 [8062]~P120(x80621)+~P107(f315(f315(f223(x80621),x80623),f71(x80621)))+~P107(f315(f315(f223(x80621),f2(x80621)),x80623))+~P107(f315(f315(f223(x80621),f2(x80621)),x80622))+P107(f315(f315(f223(x80621),f315(f315(f74(x80621),x80622),x80623)),x80622))
% 201.34/201.11 [8415]~P110(x84152)+E(x84151,f177(f901(x84152,a891)))+~P107(f315(f54(x84152),x84151))+P107(f315(f315(f223(x84152),f883(x84153,x84151,x84152)),x84153))+~P107(f315(f315(f223(x84152),f315(f56(x84152,f221(x84152)),x84151)),x84153))
% 201.34/201.11 [8416]~P110(x84162)+E(x84161,f177(f901(x84162,a891)))+~P107(f315(f54(x84162),x84161))+P107(f315(f315(f317(x84162),f883(x84163,x84161,x84162)),x84161))+~P107(f315(f315(f223(x84162),f315(f56(x84162,f221(x84162)),x84161)),x84163))
% 201.34/201.11 [8417]~P110(x84172)+E(x84171,f177(f901(x84172,a891)))+~P107(f315(f54(x84172),x84171))+P107(f315(f315(f317(x84172),f885(x84173,x84171,x84172)),x84171))+~P107(f315(f315(f224(x84172),f315(f56(x84172,f221(x84172)),x84171)),x84173))
% 201.34/201.11 [8418]~P110(x84182)+E(x84181,f177(f901(x84182,a891)))+~P107(f315(f54(x84182),x84181))+P107(f315(f315(f224(x84182),f885(x84183,x84181,x84182)),x84183))+~P107(f315(f315(f224(x84182),f315(f56(x84182,f221(x84182)),x84181)),x84183))
% 201.34/201.11 [8504]~P107(f315(x85041,x85043))+P107(f315(x85041,f436(x85041,x85042)))+P107(f315(x85041,f427(x85041,x85042)))+~P107(f315(f315(f224(a1),f2(a1)),x85042))+P107(f315(x85041,f315(f315(f3(a1),f427(x85041,x85042)),f315(f315(f74(a1),f437(x85041,x85042)),x85042))))
% 201.34/201.11 [8722]~P107(f315(x87221,x87223))+P107(f315(x87221,f427(x87221,x87222)))+~P107(f315(f315(f224(a1),f2(a1)),x87222))+P107(f315(f315(f317(a1),f436(x87221,x87222)),f291(a1,f71(a1),x87222)))+P107(f315(x87221,f315(f315(f3(a1),f427(x87221,x87222)),f315(f315(f74(a1),f437(x87221,x87222)),x87222))))
% 201.34/201.11 [8935]~P107(f315(x89351,x89353))+~P107(f315(x89351,f427(x89351,x89352)))+P107(f315(x89351,f436(x89351,x89352)))+~P107(f315(f315(f224(a1),f2(a1)),x89352))+~P107(f315(x89351,f315(f315(f3(a1),f427(x89351,x89352)),f315(f315(f74(a1),f437(x89351,x89352)),x89352))))
% 201.34/201.11 [9059]~P107(f315(x90591,x90593))+~P107(f315(x90591,f427(x90591,x90592)))+~P107(f315(f315(f224(a1),f2(a1)),x90592))+P107(f315(f315(f317(a1),f436(x90591,x90592)),f291(a1,f71(a1),x90592)))+~P107(f315(x90591,f315(f315(f3(a1),f427(x90591,x90592)),f315(f315(f74(a1),f437(x90591,x90592)),x90592))))
% 201.34/201.11 [8841]~P80(x88411)+~P107(f315(f54(x88411),x88412))+E(f315(f315(f3(f901(x88411,a891)),x88412),f315(f315(f297(x88411),x88413),f177(f901(x88411,a891)))),f177(f901(x88411,a891)))+~P107(f315(f315(f317(x88411),x88413),x88412))+E(f315(f315(f99(x88411),x88413),f12(x88411,f315(f315(f3(f901(x88411,a891)),x88412),f315(f315(f297(x88411),x88413),f177(f901(x88411,a891)))))),f12(x88411,x88412))
% 201.34/201.11 [8842]~P80(x88421)+~P107(f315(f54(x88421),x88422))+E(f315(f315(f3(f901(x88421,a891)),x88422),f315(f315(f297(x88421),x88423),f177(f901(x88421,a891)))),f177(f901(x88421,a891)))+~P107(f315(f315(f317(x88421),x88423),x88422))+E(f315(f315(f90(x88421),x88423),f13(x88421,f315(f315(f3(f901(x88421,a891)),x88422),f315(f315(f297(x88421),x88423),f177(f901(x88421,a891)))))),f13(x88421,x88422))
% 201.34/201.11 [8843]~P110(x88431)+~P107(f315(f54(x88431),x88432))+E(f315(f315(f3(f901(x88431,a891)),x88432),f315(f315(f297(x88431),x88433),f177(f901(x88431,a891)))),f177(f901(x88431,a891)))+~P107(f315(f315(f317(x88431),x88433),x88432))+E(f315(f315(f221(x88431),x88433),f16(x88431,f315(f315(f3(f901(x88431,a891)),x88432),f315(f315(f297(x88431),x88433),f177(f901(x88431,a891)))))),f16(x88431,x88432))
% 201.34/201.11 [8844]~P110(x88441)+~P107(f315(f54(x88441),x88442))+E(f315(f315(f3(f901(x88441,a891)),x88442),f315(f315(f297(x88441),x88443),f177(f901(x88441,a891)))),f177(f901(x88441,a891)))+~P107(f315(f315(f317(x88441),x88443),x88442))+E(f315(f315(f222(x88441),x88443),f17(x88441,f315(f315(f3(f901(x88441,a891)),x88442),f315(f315(f297(x88441),x88443),f177(f901(x88441,a891)))))),f17(x88441,x88442))
% 201.34/201.11 [8906]~P110(x89061)+~P107(f315(f54(x89061),x89062))+E(f315(f315(f3(f901(x89061,a891)),x89062),f315(f315(f297(x89061),x89063),f177(f901(x89061,a891)))),f177(f901(x89061,a891)))+~P107(f315(f315(f317(x89061),x89063),x89062))+E(f315(f315(f221(x89061),x89063),f14(x89061,f221(x89061),f315(f315(f3(f901(x89061,a891)),x89062),f315(f315(f297(x89061),x89063),f177(f901(x89061,a891)))))),f14(x89061,f221(x89061),x89062))
% 201.34/201.11 [8907]~P110(x89071)+~P107(f315(f54(x89071),x89072))+E(f315(f315(f3(f901(x89071,a891)),x89072),f315(f315(f297(x89071),x89073),f177(f901(x89071,a891)))),f177(f901(x89071,a891)))+~P107(f315(f315(f317(x89071),x89073),x89072))+E(f315(f315(f222(x89071),x89073),f15(x89071,f222(x89071),f315(f315(f3(f901(x89071,a891)),x89072),f315(f315(f297(x89071),x89073),f177(f901(x89071,a891)))))),f15(x89071,f222(x89071),x89072))
% 201.34/201.11 [8922]~P80(x89221)+~P107(f315(f54(x89221),x89223))+~P107(f315(f54(x89221),x89222))+E(f315(f315(f90(f901(x89221,a891)),x89222),x89223),f177(f901(x89221,a891)))+E(f315(f315(f99(x89221),f12(x89221,f315(f315(f99(f901(x89221,a891)),x89222),x89223))),f12(x89221,f315(f315(f90(f901(x89221,a891)),x89222),x89223))),f315(f315(f99(x89221),f12(x89221,x89222)),f12(x89221,x89223)))
% 201.34/201.11 [8923]~P80(x89231)+~P107(f315(f54(x89231),x89233))+~P107(f315(f54(x89231),x89232))+E(f315(f315(f90(f901(x89231,a891)),x89232),x89233),f177(f901(x89231,a891)))+E(f315(f315(f90(x89231),f13(x89231,f315(f315(f99(f901(x89231,a891)),x89232),x89233))),f13(x89231,f315(f315(f90(f901(x89231,a891)),x89232),x89233))),f315(f315(f90(x89231),f13(x89231,x89232)),f13(x89231,x89233)))
% 201.34/201.11 [8924]~P110(x89241)+~P107(f315(f54(x89241),x89243))+~P107(f315(f54(x89241),x89242))+E(f315(f315(f90(f901(x89241,a891)),x89242),x89243),f177(f901(x89241,a891)))+E(f315(f315(f221(x89241),f16(x89241,f315(f315(f99(f901(x89241,a891)),x89242),x89243))),f16(x89241,f315(f315(f90(f901(x89241,a891)),x89242),x89243))),f315(f315(f221(x89241),f16(x89241,x89242)),f16(x89241,x89243)))
% 201.34/201.11 [8925]~P110(x89251)+~P107(f315(f54(x89251),x89253))+~P107(f315(f54(x89251),x89252))+E(f315(f315(f90(f901(x89251,a891)),x89252),x89253),f177(f901(x89251,a891)))+E(f315(f315(f222(x89251),f17(x89251,f315(f315(f99(f901(x89251,a891)),x89252),x89253))),f17(x89251,f315(f315(f90(f901(x89251,a891)),x89252),x89253))),f315(f315(f222(x89251),f17(x89251,x89252)),f17(x89251,x89253)))
% 201.34/201.11 [9140]~P110(x91401)+~P107(f315(f54(x91401),x91403))+~P107(f315(f54(x91401),x91402))+E(f315(f315(f90(f901(x91401,a891)),x91402),x91403),f177(f901(x91401,a891)))+E(f315(f315(f221(x91401),f14(x91401,f221(x91401),f315(f315(f99(f901(x91401,a891)),x91402),x91403))),f14(x91401,f221(x91401),f315(f315(f90(f901(x91401,a891)),x91402),x91403))),f315(f315(f221(x91401),f14(x91401,f221(x91401),x91402)),f14(x91401,f221(x91401),x91403)))
% 201.34/201.11 [9141]~P110(x91411)+~P107(f315(f54(x91411),x91413))+~P107(f315(f54(x91411),x91412))+E(f315(f315(f90(f901(x91411,a891)),x91412),x91413),f177(f901(x91411,a891)))+E(f315(f315(f222(x91411),f15(x91411,f222(x91411),f315(f315(f99(f901(x91411,a891)),x91412),x91413))),f15(x91411,f222(x91411),f315(f315(f90(f901(x91411,a891)),x91412),x91413))),f315(f315(f222(x91411),f15(x91411,f222(x91411),x91412)),f15(x91411,f222(x91411),x91413)))
% 201.34/201.11 [9948]~P112(x99483)+E(x99481,x99482)+~P107(f315(f315(f223(x99483),f2(x99483)),x99482))+~P107(f315(f315(f223(x99483),f2(x99483)),x99481))+~E(f315(f315(f232(x99483),x99481),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))),f315(f315(f232(x99483),x99482),f315(f92(a893),f315(f315(f73(a1),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)),f315(f315(f3(a1),f315(f315(f73(a1),a76),a76)),a86)))))
% 201.34/201.11 [5960]~P62(x59602)+E(x59601,f2(x59602))+~E(f315(f315(f29(x59602),x59603),x59601),x59604)+E(x59603,f315(f315(f74(x59602),x59604),x59601))+~P107(f315(f315(f275(x59602),x59601),x59603))
% 201.34/201.11 [5961]~P62(x59612)+E(x59611,f2(x59612))+~E(x59613,f315(f315(f74(x59612),x59614),x59611))+E(f315(f315(f29(x59612),x59613),x59611),x59614)+~P107(f315(f315(f275(x59612),x59611),x59613))
% 201.34/201.11 [6436]E(f849(x64361,x64362,x64363),x64364)+E(f315(x64361,x64364),f2(a893))+~E(f315(f315(f8(x64363,a893),x64361),x64362),f71(a893))+~P107(f315(f54(x64363),x64362))+~P107(f315(f315(f317(x64363),x64364),x64362))
% 201.34/201.11 [6501]E(f845(x65011,x65012,x65013),x65014)+E(f315(x65011,x65014),f2(a893))+~E(f315(f315(f8(x65013,a893),x65011),x65012),f315(a101,f2(a893)))+~P107(f315(f54(x65013),x65012))+~P107(f315(f315(f317(x65013),x65014),x65012))
% 201.34/201.11 [6612]~P110(x66121)+~P5(x66121)+P107(f315(f315(f224(x66121),x66122),f30(x66121,x66123)))+~P107(f315(f315(f224(x66121),x66122),x66124))+~P107(f315(f315(f317(x66121),x66124),x66123))
% 201.34/201.11 [6789]~P110(x67891)+~P5(x67891)+~P107(f315(f315(f224(x67891),x67894),x67893))+P107(f315(f315(f224(x67891),f31(x67891,x67892)),x67893))+~P107(f315(f315(f317(x67891),x67894),x67892))
% 201.34/201.11 [7055]~P112(x70553)+E(x70551,x70552)+~E(f315(f315(f232(x70553),x70551),f315(a101,x70554)),f315(f315(f232(x70553),x70552),f315(a101,x70554)))+~P107(f315(f315(f223(x70553),f2(x70553)),x70552))+~P107(f315(f315(f223(x70553),f2(x70553)),x70551))
% 201.34/201.11 [7269]~E(f851(x72692,x72693,x72691,x72694),x72694)+~E(f315(x72692,x72694),f71(a893))+E(f315(f315(f8(x72691,a893),x72692),x72693),f71(a893))+~P107(f315(f54(x72691),x72693))+~P107(f315(f315(f317(x72691),x72694),x72693))
% 201.34/201.11 [7276]~P113(x72764)+~P136(x72764)+E(f315(x72761,f808(x72761,x72762,x72763,x72764)),f2(x72764))+~E(f315(f315(f11(x72763,x72764),x72761),x72762),f2(x72764))+~P107(f315(f54(x72763),x72762))
% 201.34/201.11 [7366]~E(f846(x73662,x73663,x73661,x73664),x73664)+~E(f315(x73662,x73664),f315(a101,f2(a893)))+E(f315(f315(f8(x73661,a893),x73662),x73663),f315(a101,f2(a893)))+~P107(f315(f54(x73661),x73663))+~P107(f315(f315(f317(x73661),x73664),x73663))
% 201.34/201.11 [8101]~E(f315(x81012,x81014),f71(a893))+~E(f315(x81012,f851(x81012,x81013,x81011,x81014)),f2(a893))+E(f315(f315(f8(x81011,a893),x81012),x81013),f71(a893))+~P107(f315(f54(x81011),x81013))+~P107(f315(f315(f317(x81011),x81014),x81013))
% 201.34/201.11 [8139]~E(f315(x81392,x81394),f315(a101,f2(a893)))+~E(f315(x81392,f846(x81392,x81393,x81391,x81394)),f2(a893))+E(f315(f315(f8(x81391,a893),x81392),x81393),f315(a101,f2(a893)))+~P107(f315(f54(x81391),x81393))+~P107(f315(f315(f317(x81391),x81394),x81393))
% 201.34/201.11 [8225]~P148(x82252)+~P123(x82252)+~P107(f315(x82251,x82254))+~P107(f315(f315(f275(x82252),x82253),f315(f315(f73(x82252),x82254),f2(x82252))))+P107(f315(x82251,f315(f315(f74(x82252),x82253),f838(x82253,x82251,x82252))))
% 201.34/201.11 [8689]~P110(x86891)+~P13(x86891,x86894)+P13(x86891,x86892)+~E(x86892,f315(f315(f140(x86891),x86893),x86894))+~P107(f315(f315(f223(x86891),x86893),f706(x86892,x86891,x86894,x86893)))
% 201.34/201.11 [8726]E(x87261,x87262)+E(f315(f315(f3(a1),f412(x87263,x87262,x87264,x87261)),f413(x87263,x87262,x87264,x87261)),x87261)+~E(f315(f315(f73(a1),x87261),x87264),x87262)+~P107(f315(f315(f224(a1),f2(a1)),x87264))+~P107(f315(f315(f317(a1),x87262),x87263))
% 201.34/201.11 [8727]E(x87271,x87272)+E(f315(f315(f73(a1),f419(x87273,x87272,x87274,x87271)),f420(x87273,x87272,x87274,x87271)),x87271)+~E(f315(f315(f3(a1),x87271),x87274),x87272)+~P107(f315(f315(f224(a1),f2(a1)),x87274))+~P107(f315(f315(f317(a1),x87272),x87273))
% 201.34/201.11 [8920]E(f315(x89201,f367(x89202,x89201,x89203,x89204)),x89202)+P107(f315(f315(f223(a893),x89204),f368(x89202,x89201,x89203,x89204)))+~P107(f315(f315(f223(a1),x89202),f315(x89201,x89203)))+~P107(f315(f315(f224(a893),x89204),x89203))+~P107(f315(f315(f223(a1),f315(x89201,x89204)),x89202))
% 201.34/201.11 [8921]~P110(x89211)+~P13(x89211,x89213)+P13(x89211,x89212)+~E(x89212,f315(f315(f140(x89211),x89214),x89213))+P107(f315(f315(f317(x89211),f706(x89212,x89211,x89213,x89214)),f315(f161(x89211),x89213)))
% 201.34/201.11 [8939]~P113(x89394)+~P136(x89394)+~E(f315(f315(f11(x89391,x89394),x89392),x89393),f2(x89394))+~P107(f315(f54(x89391),x89393))+P107(f315(f315(f317(x89391),f808(x89392,x89393,x89391,x89394)),x89393))
% 201.34/201.11 [8977]~E(f315(x89772,x89774),f71(a893))+E(f315(f315(f8(x89771,a893),x89772),x89773),f71(a893))+~P107(f315(f54(x89771),x89773))+~P107(f315(f315(f317(x89771),x89774),x89773))+P107(f315(f315(f317(x89771),f851(x89772,x89773,x89771,x89774)),x89773))
% 201.34/201.11 [8989]E(x89891,x89892)+~E(f315(f315(f73(a1),x89892),x89894),x89891)+~P107(f315(f315(f224(a1),f2(a1)),x89894))+~P107(f315(f315(f317(a1),x89891),x89893))+P107(f315(f315(f317(a1),f412(x89893,x89891,x89894,x89892)),x89893))
% 201.34/201.11 [8990]E(x89901,x89902)+~E(f315(f315(f3(a1),x89902),x89904),x89901)+~P107(f315(f315(f224(a1),f2(a1)),x89904))+~P107(f315(f315(f317(a1),x89901),x89903))+P107(f315(f315(f317(a1),f419(x89903,x89901,x89904,x89902)),x89903))
% 201.34/201.11 [8992]~E(f315(x89922,x89924),f315(a101,f2(a893)))+E(f315(f315(f8(x89921,a893),x89922),x89923),f315(a101,f2(a893)))+~P107(f315(f54(x89921),x89923))+~P107(f315(f315(f317(x89921),x89924),x89923))+P107(f315(f315(f317(x89921),f846(x89922,x89923,x89921,x89924)),x89923))
% 201.34/201.11 [8997]P60(x89972,x89973,x89974,x89971)+E(x89971,f177(f901(x89972,a891)))+~P107(f315(f54(x89972),x89974))+~P107(f315(f54(x89972),x89971))+P107(f315(f315(f317(x89972),f772(x89973,x89971,x89974,x89972)),x89974))
% 201.34/201.11 [8998]P60(x89982,x89983,x89984,x89981)+E(x89981,f177(f901(x89982,a891)))+~P107(f315(f54(x89982),x89984))+~P107(f315(f54(x89982),x89981))+P107(f315(f315(f317(x89982),f506(x89981,x89984,x89983,x89982)),x89984))
% 201.34/201.11 [8999]P60(x89992,x89993,x89994,x89991)+E(x89991,f177(f901(x89992,a891)))+~P107(f315(f54(x89992),x89994))+~P107(f315(f54(x89992),x89991))+P107(f315(f315(f317(x89992),f774(x89991,x89994,x89993,x89992)),x89994))
% 201.34/201.11 [9072]E(x90721,x90722)+~E(f315(f315(f73(a1),x90722),x90724),x90721)+~P107(f315(f315(f224(a1),f2(a1)),x90724))+~P107(f315(f315(f317(a1),x90721),x90723))+P107(f315(f315(f317(a1),f413(x90723,x90721,x90724,x90722)),f291(a1,f71(a1),x90724)))
% 201.34/201.11 [9073]E(x90731,x90732)+~E(f315(f315(f3(a1),x90732),x90734),x90731)+~P107(f315(f315(f224(a1),f2(a1)),x90734))+~P107(f315(f315(f317(a1),x90731),x90733))+P107(f315(f315(f317(a1),f420(x90733,x90731,x90734,x90732)),f291(a1,f71(a1),x90734)))
% 201.34/201.11 [9146]P107(f315(f315(f223(a893),x91461),f367(x91462,x91463,x91464,x91461)))+~P107(f315(f315(f223(a1),x91462),f315(x91463,x91464)))+P107(f315(f315(f223(a893),x91461),f368(x91462,x91463,x91464,x91461)))+~P107(f315(f315(f224(a893),x91461),x91464))+~P107(f315(f315(f223(a1),f315(x91463,x91461)),x91462))
% 201.34/201.11 [9260]E(f315(x92601,f367(x92602,x92601,x92603,x92604)),x92602)+~P107(f315(f315(f223(a1),x92602),f315(x92601,x92603)))+P107(f315(f315(f224(a893),f368(x92602,x92601,x92603,x92604)),x92603))+~P107(f315(f315(f224(a893),x92604),x92603))+~P107(f315(f315(f223(a1),f315(x92601,x92604)),x92602))
% 201.34/201.11 [9375]~P107(f315(f315(f275(a893),x93754),x93751))+~P107(f315(f315(f275(a893),x93754),x93753))+~P107(f315(f315(f275(a893),x93752),x93751))+P107(f315(f315(f275(a893),x93751),x93752))+P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x93753,x93752)),f278(a893,f275(a893),x93754,x93751)))
% 201.34/201.11 [9376]~P107(f315(f315(f275(a893),x93762),x93761))+~P107(f315(f315(f275(a893),x93763),x93764))+~P107(f315(f315(f275(a893),x93762),x93764))+P107(f315(f315(f275(a893),x93761),x93762))+P107(f315(f315(f224(f901(a893,a891)),f278(a893,f275(a893),x93761,x93763)),f278(a893,f275(a893),x93762,x93764)))
% 201.34/201.11 [9393]~P107(f315(f315(f223(a1),x93932),f315(x93933,x93934)))+P107(f315(f315(f223(a893),x93931),f368(x93932,x93933,x93934,x93931)))+P107(f315(f315(f223(a893),f367(x93932,x93933,x93934,x93931)),x93934))+~P107(f315(f315(f224(a893),x93931),x93934))+~P107(f315(f315(f223(a1),f315(x93933,x93931)),x93932))
% 201.34/201.11 [9394]~P107(f315(f315(f223(a1),x93942),f315(x93943,x93944)))+P107(f315(f315(f223(a893),x93941),f367(x93942,x93943,x93944,x93941)))+P107(f315(f315(f224(a893),f368(x93942,x93943,x93944,x93941)),x93944))+~P107(f315(f315(f224(a893),x93941),x93944))+~P107(f315(f315(f223(a1),f315(x93943,x93941)),x93942))
% 201.34/201.11 [9502]~P107(f315(f315(f223(a1),x95021),f315(x95022,x95023)))+P107(f315(f315(f224(a893),f368(x95021,x95022,x95023,x95024)),x95023))+~P107(f315(f315(f224(a893),x95024),x95023))+~P107(f315(f315(f223(a1),f315(x95022,x95024)),x95021))+P107(f315(f315(f223(a893),f367(x95021,x95022,x95023,x95024)),x95023))
% 201.34/201.11 [9596]E(x95961,f177(f901(x95962,a891)))+~P107(f315(f54(x95962),x95964))+~P107(f315(f54(x95962),x95961))+P107(f315(f315(f317(f900(f901(x95962,a891),f901(x95962,a891))),f315(f315(f240(f901(x95962,a891),f901(x95962,a891)),x95964),x95961)),f306(x95962,x95963)))+P107(f315(f315(f317(x95962),f510(x95963,x95961,x95964,x95962)),x95964))
% 201.34/201.11 [9597]E(x95971,f177(f901(x95972,a891)))+~P107(f315(f54(x95972),x95974))+~P107(f315(f54(x95972),x95971))+P107(f315(f315(f317(f900(f901(x95972,a891),f901(x95972,a891))),f315(f315(f240(f901(x95972,a891),f901(x95972,a891)),x95974),x95971)),f306(x95972,x95973)))+P107(f315(f315(f317(x95972),f586(x95973,x95971,x95974,x95972)),x95974))
% 201.34/201.11 [10269]E(f315(x102691,f367(x102692,x102691,x102693,x102694)),x102692)+~P107(f315(f315(f223(a1),x102692),f315(x102691,x102693)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x102691,f315(f315(f73(a893),f368(x102692,x102691,x102693,x102694)),f71(a893)))),f315(x102691,f368(x102692,x102691,x102693,x102694))))),f71(a1)))+~P107(f315(f315(f224(a893),x102694),x102693))+~P107(f315(f315(f223(a1),f315(x102691,x102694)),x102692))
% 201.34/201.11 [10270]~P107(f315(f315(f223(a1),x102702),f315(x102703,x102704)))+P107(f315(f315(f223(a893),x102701),f367(x102702,x102703,x102704,x102701)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x102703,f315(f315(f73(a893),f368(x102702,x102703,x102704,x102701)),f71(a893)))),f315(x102703,f368(x102702,x102703,x102704,x102701))))),f71(a1)))+~P107(f315(f315(f224(a893),x102701),x102704))+~P107(f315(f315(f223(a1),f315(x102703,x102701)),x102702))
% 201.34/201.11 [10271]~P107(f315(f315(f223(a1),x102711),f315(x102712,x102713)))+~P107(f315(f315(f223(a1),f315(f69(a1),f315(f315(f3(a1),f315(x102712,f315(f315(f73(a893),f368(x102711,x102712,x102713,x102714)),f71(a893)))),f315(x102712,f368(x102711,x102712,x102713,x102714))))),f71(a1)))+~P107(f315(f315(f224(a893),x102714),x102713))+~P107(f315(f315(f223(a1),f315(x102712,x102714)),x102711))+P107(f315(f315(f223(a893),f367(x102711,x102712,x102713,x102714)),x102713))
% 201.34/201.11 [7329]~P67(x73291)+P107(f315(f315(f224(x73291),x73292),f2(x73291)))+~P107(f315(f315(f223(x73291),x73293),f2(x73291)))+P107(f315(f315(f224(x73291),f2(x73291)),x73292))+P107(f315(f315(f223(x73291),x73293),f315(f315(f279(x73291),x73294),x73292)))
% 201.34/201.11 [7330]~P67(x73301)+P107(f315(f315(f224(x73301),x73302),f2(x73301)))+~P107(f315(f315(f224(x73301),x73303),f2(x73301)))+P107(f315(f315(f224(x73301),f2(x73301)),x73302))+P107(f315(f315(f224(x73301),x73303),f315(f315(f279(x73301),x73304),x73302)))
% 201.34/201.11 [7580]~P67(x75801)+P107(f315(f315(f223(x75801),x75802),f2(x75801)))+P107(f315(f315(f224(x75801),x75803),f2(x75801)))+P107(f315(f315(f224(x75801),f2(x75801)),x75803))+~P107(f315(f315(f223(x75801),x75802),f315(f315(f279(x75801),x75804),x75803)))
% 201.34/201.11 [7581]~P67(x75811)+P107(f315(f315(f224(x75811),x75812),f2(x75811)))+P107(f315(f315(f224(x75811),x75813),f2(x75811)))+P107(f315(f315(f224(x75811),f2(x75811)),x75813))+~P107(f315(f315(f224(x75811),x75812),f315(f315(f279(x75811),x75814),x75813)))
% 201.34/201.11 [7698]E(x76981,x76982)+~E(f315(f315(f153(x76983),x76984),x76981),f315(f315(f153(x76983),x76984),x76982))+~P107(f315(f126(x76983),x76984))+~P107(f315(f315(f224(a893),x76982),f315(f178(f894(x76983)),x76984)))+~P107(f315(f315(f224(a893),x76981),f315(f178(f894(x76983)),x76984)))
% 201.34/201.11 [8063]~P67(x80631)+~P107(f315(f315(f223(x80631),x80633),f2(x80631)))+P107(f315(f315(f224(x80631),f2(x80631)),x80632))+~P107(f315(f315(f223(x80631),x80634),f315(f315(f74(x80631),x80633),x80632)))+P107(f315(f315(f223(x80631),x80633),f315(f315(f279(x80631),x80634),x80632)))
% 201.34/201.11 [8064]~P67(x80641)+~P107(f315(f315(f224(x80641),x80643),f2(x80641)))+P107(f315(f315(f224(x80641),f2(x80641)),x80642))+~P107(f315(f315(f224(x80641),x80644),f315(f315(f74(x80641),x80643),x80642)))+P107(f315(f315(f224(x80641),x80643),f315(f315(f279(x80641),x80644),x80642)))
% 201.34/201.11 [8065]~P67(x80651)+~P107(f315(f315(f224(x80651),x80652),f2(x80651)))+P107(f315(f315(f224(x80651),f2(x80651)),x80652))+~P107(f315(f315(f223(x80651),x80654),f315(f315(f74(x80651),x80653),x80652)))+P107(f315(f315(f223(x80651),x80653),f315(f315(f279(x80651),x80654),x80652)))
% 201.34/201.11 [8066]~P67(x80661)+~P107(f315(f315(f224(x80661),x80662),f2(x80661)))+P107(f315(f315(f224(x80661),f2(x80661)),x80662))+~P107(f315(f315(f223(x80661),x80664),f315(f315(f279(x80661),x80663),x80662)))+P107(f315(f315(f223(x80661),x80663),f315(f315(f74(x80661),x80664),x80662)))
% 201.34/201.11 [8067]~P67(x80671)+~P107(f315(f315(f224(x80671),x80672),f2(x80671)))+P107(f315(f315(f224(x80671),f2(x80671)),x80672))+~P107(f315(f315(f224(x80671),x80674),f315(f315(f74(x80671),x80673),x80672)))+P107(f315(f315(f224(x80671),x80673),f315(f315(f279(x80671),x80674),x80672)))
% 201.34/201.11 [8068]~P67(x80681)+~P107(f315(f315(f224(x80681),x80682),f2(x80681)))+P107(f315(f315(f224(x80681),f2(x80681)),x80682))+~P107(f315(f315(f224(x80681),x80684),f315(f315(f279(x80681),x80683),x80682)))+P107(f315(f315(f224(x80681),x80683),f315(f315(f74(x80681),x80684),x80682)))
% 201.34/201.11 [8193]~P62(x81931)+~P107(f315(f315(f275(x81931),x81933),x81934))+~P107(f315(f315(f275(x81931),x81933),x81932))+~P107(f315(f315(f275(x81931),x81932),x81934))+P107(f315(f315(f275(x81931),f315(f315(f29(x81931),x81932),x81933)),f315(f315(f29(x81931),x81934),x81933)))
% 201.34/201.11 [8208]~P110(x82081)+~P13(x82081,x82082)+~P107(f315(f315(f223(a893),x82083),x82084))+P107(f315(f315(f223(x82081),f315(f315(f153(x82081),x82082),x82083)),f315(f315(f153(x82081),x82082),x82084)))+~P107(f315(f315(f224(a893),x82084),f315(f178(f894(x82081)),x82082)))
% 201.34/201.11 [8261]~P112(x82611)+~P107(f315(f315(f223(x82611),x82612),f71(x82611)))+~P107(f315(f315(f223(x82611),f2(x82611)),x82612))+~P107(f315(f315(f223(a893),x82614),x82613))+P107(f315(f315(f223(x82611),f315(f315(f232(x82611),x82612),x82613)),f315(f315(f232(x82611),x82612),x82614)))
% 201.34/201.11 [8262]~P112(x82621)+~P107(f315(f315(f224(x82621),x82622),f71(x82621)))+~P107(f315(f315(f224(x82621),f2(x82621)),x82622))+~P107(f315(f315(f224(a893),x82624),x82623))+P107(f315(f315(f224(x82621),f315(f315(f232(x82621),x82622),x82623)),f315(f315(f232(x82621),x82622),x82624)))
% 201.34/201.11 [8263]~P112(x82631)+~P107(f315(f315(f223(x82631),f2(x82631)),x82632))+~P107(f315(f315(f224(a893),f2(a893)),x82633))+~P107(f315(f315(f224(x82631),x82632),x82634))+P107(f315(f315(f224(x82631),f315(f315(f232(x82631),x82632),x82633)),f315(f315(f232(x82631),x82634),x82633)))
% 201.34/201.11 [8281]~P110(x82811)+~P13(x82811,f315(f157(x82811),x82812))+~P107(f315(f315(f223(a893),x82814),x82813))+P107(f315(f315(f223(x82811),f315(f315(f153(x82811),x82812),x82813)),f315(f315(f153(x82811),x82812),x82814)))+~P107(f315(f315(f224(a893),x82813),f315(f178(f894(x82811)),x82812)))
% 201.34/201.11 [8511]~P62(x85111)+P107(f315(f315(f275(x85111),x85112),x85113))+~P107(f315(f315(f275(x85111),x85114),x85113))+~P107(f315(f315(f275(x85111),x85114),x85112))+~P107(f315(f315(f275(x85111),f315(f315(f29(x85111),x85112),x85114)),f315(f315(f29(x85111),x85113),x85114)))
% 201.34/201.11 [8526]~P67(x85261)+~P107(f315(f315(f223(x85261),x85262),f2(x85261)))+~P107(f315(f315(f223(x85261),x85263),x85264))+~P107(f315(f315(f224(x85261),f2(x85261)),f315(f315(f74(x85261),x85263),x85264)))+P107(f315(f315(f223(x85261),f315(f315(f279(x85261),x85262),x85263)),f315(f315(f279(x85261),x85262),x85264)))
% 201.34/201.11 [8527]~P68(x85271)+~P107(f315(f315(f224(x85271),x85272),f2(x85271)))+~P107(f315(f315(f224(x85271),x85273),x85274))+~P107(f315(f315(f224(x85271),f2(x85271)),f315(f315(f74(x85271),x85273),x85274)))+P107(f315(f315(f224(x85271),f315(f315(f279(x85271),x85272),x85273)),f315(f315(f279(x85271),x85272),x85274)))
% 201.34/201.11 [8536]~P68(x85361)+~P107(f315(f315(f223(x85361),x85364),x85363))+~P107(f315(f315(f223(x85361),f2(x85361)),x85362))+~P107(f315(f315(f224(x85361),f2(x85361)),f315(f315(f74(x85361),x85363),x85364)))+P107(f315(f315(f223(x85361),f315(f315(f279(x85361),x85362),x85363)),f315(f315(f279(x85361),x85362),x85364)))
% 201.34/201.11 [8537]~P68(x85371)+~P107(f315(f315(f224(x85371),x85374),x85373))+~P107(f315(f315(f224(x85371),f2(x85371)),x85372))+~P107(f315(f315(f224(x85371),f2(x85371)),f315(f315(f74(x85371),x85373),x85374)))+P107(f315(f315(f224(x85371),f315(f315(f279(x85371),x85372),x85373)),f315(f315(f279(x85371),x85372),x85374)))
% 201.34/201.11 [8637]P107(f315(x86371,x86372))+~P107(f315(f54(x86374),x86372))+P107(f315(x86371,f443(x86371,x86373,x86372,x86374)))+~P107(f315(x86371,f177(f901(x86374,a891))))+~P107(f315(f315(f223(f901(x86374,a891)),x86372),x86373))
% 201.34/201.11 [8646]P107(f315(x86461,x86462))+P107(f315(f54(x86463),f443(x86461,x86464,x86462,x86463)))+~P107(f315(f54(x86463),x86462))+~P107(f315(x86461,f177(f901(x86463,a891))))+~P107(f315(f315(f223(f901(x86463,a891)),x86462),x86464))
% 201.34/201.11 [8915]E(f315(f315(f73(a1),f424(x89151,x89152,x89153,x89154)),f421(x89151,x89152,x89153,x89154)),x89154)+~P107(f315(f315(f224(a1),f2(a1)),x89153))+~P107(f315(f315(f224(a1),x89152),x89154))+~P107(f315(f315(f317(a1),x89152),x89151))+P107(f315(f315(f224(a1),x89152),f315(f315(f3(a1),x89154),x89153)))
% 201.34/201.11 [9128]~P107(f315(f315(f224(a1),f2(a1)),x91283))+~P107(f315(f315(f224(a1),x91282),x91284))+~P107(f315(f315(f317(a1),x91282),x91281))+P107(f315(f315(f317(a1),f424(x91281,x91282,x91283,x91284)),x91281))+P107(f315(f315(f224(a1),x91282),f315(f315(f3(a1),x91284),x91283)))
% 201.34/201.11 [9139]P107(f315(x91391,x91392))+~P107(f315(f54(x91393),x91392))+P107(f315(f315(f317(x91393),f432(x91391,x91394,x91392,x91393)),x91394))+~P107(f315(x91391,f177(f901(x91393,a891))))+~P107(f315(f315(f223(f901(x91393,a891)),x91392),x91394))
% 201.34/201.11 [9156]E(f315(f315(f73(a1),f415(x91561,x91562,x91563,x91564)),f416(x91561,x91562,x91563,x91564)),x91564)+~P107(f315(f315(f224(a1),f2(a1)),x91563))+~P107(f315(f315(f223(a1),x91562),x91564))+P107(f315(f315(f223(a1),x91562),f315(f315(f3(a1),x91564),x91563)))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x91562),f71(a1))),x91561))
% 201.34/201.11 [9210]~P107(f315(f315(f224(a1),f2(a1)),x92103))+~P107(f315(f315(f224(a1),x92101),x92102))+~P107(f315(f315(f317(a1),x92101),x92104))+P107(f315(f315(f317(a1),f421(x92104,x92101,x92103,x92102)),f291(a1,f71(a1),x92103)))+P107(f315(f315(f224(a1),x92101),f315(f315(f3(a1),x92102),x92103)))
% 201.34/201.11 [9236]~P76(x92362)+~E(f754(x92363,x92364,x92361,x92362),f755(x92363,x92364,x92361,x92362))+~P107(f315(f54(x92361),f756(x92363,x92364,x92361,x92362)))+E(f315(f315(f8(f901(x92361,a891),x92362),f315(f8(x92361,x92362),x92363)),x92364),f315(f315(f8(x92361,x92362),x92363),f30(f901(x92361,a891),x92364)))+~P107(f315(f54(f901(x92361,a891)),x92364))
% 201.34/201.11 [9240]~P76(x92402)+~E(f315(x92403,f758(x92403,x92404,x92401,x92402)),f2(x92402))+~P107(f315(f54(x92401),f756(x92403,x92404,x92401,x92402)))+E(f315(f315(f8(f901(x92401,a891),x92402),f315(f8(x92401,x92402),x92403)),x92404),f315(f315(f8(x92401,x92402),x92403),f30(f901(x92401,a891),x92404)))+~P107(f315(f54(f901(x92401,a891)),x92404))
% 201.34/201.11 [9304]~P107(f315(f315(f224(a1),f2(a1)),x93043))+~P107(f315(f315(f223(a1),x93042),x93044))+P107(f315(f315(f317(a1),f415(x93041,x93042,x93043,x93044)),x93041))+P107(f315(f315(f223(a1),x93042),f315(f315(f3(a1),x93044),x93043)))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x93042),f71(a1))),x93041))
% 201.34/201.11 [9350]~P107(f315(f315(f224(a1),f2(a1)),x93503))+~P107(f315(f315(f223(a1),x93501),x93502))+P107(f315(f315(f317(a1),f416(x93504,x93501,x93503,x93502)),f291(a1,f71(a1),x93503)))+P107(f315(f315(f223(a1),x93501),f315(f315(f3(a1),x93502),x93503)))+~P107(f315(f315(f317(a1),f315(f315(f3(a1),x93501),f71(a1))),x93504))
% 201.34/201.11 [9371]~P76(x93712)+~E(f754(x93713,x93714,x93711,x93712),f755(x93713,x93714,x93711,x93712))+E(f315(f315(f8(f901(x93711,a891),x93712),f315(f8(x93711,x93712),x93713)),x93714),f315(f315(f8(x93711,x93712),x93713),f30(f901(x93711,a891),x93714)))+P107(f315(f315(f317(f901(x93711,a891)),f756(x93713,x93714,x93711,x93712)),x93714))+~P107(f315(f54(f901(x93711,a891)),x93714))
% 201.34/201.11 [9378]~P76(x93782)+~E(f315(x93783,f758(x93783,x93784,x93781,x93782)),f2(x93782))+E(f315(f315(f8(f901(x93781,a891),x93782),f315(f8(x93781,x93782),x93783)),x93784),f315(f315(f8(x93781,x93782),x93783),f30(f901(x93781,a891),x93784)))+P107(f315(f315(f317(f901(x93781,a891)),f756(x93783,x93784,x93781,x93782)),x93784))+~P107(f315(f54(f901(x93781,a891)),x93784))
% 201.34/201.11 [9479]~P76(x94792)+~P107(f315(f54(x94791),f756(x94793,x94794,x94791,x94792)))+E(f315(f315(f8(f901(x94791,a891),x94792),f315(f8(x94791,x94792),x94793)),x94794),f315(f315(f8(x94791,x94792),x94793),f30(f901(x94791,a891),x94794)))+P107(f315(f315(f317(f901(x94791,a891)),f755(x94793,x94794,x94791,x94792)),x94794))+~P107(f315(f54(f901(x94791,a891)),x94794))
% 201.34/201.11 [9480]~P76(x94802)+~P107(f315(f54(x94801),f756(x94803,x94804,x94801,x94802)))+E(f315(f315(f8(f901(x94801,a891),x94802),f315(f8(x94801,x94802),x94803)),x94804),f315(f315(f8(x94801,x94802),x94803),f30(f901(x94801,a891),x94804)))+P107(f315(f315(f317(f901(x94801,a891)),f754(x94803,x94804,x94801,x94802)),x94804))+~P107(f315(f54(f901(x94801,a891)),x94804))
% 201.34/201.11 [9560]~P76(x95602)+E(f315(f315(f8(f901(x95601,a891),x95602),f315(f8(x95601,x95602),x95603)),x95604),f315(f315(f8(x95601,x95602),x95603),f30(f901(x95601,a891),x95604)))+P107(f315(f315(f317(f901(x95601,a891)),f756(x95603,x95604,x95601,x95602)),x95604))+P107(f315(f315(f317(f901(x95601,a891)),f755(x95603,x95604,x95601,x95602)),x95604))+~P107(f315(f54(f901(x95601,a891)),x95604))
% 201.34/201.11 [9561]~P76(x95612)+E(f315(f315(f8(f901(x95611,a891),x95612),f315(f8(x95611,x95612),x95613)),x95614),f315(f315(f8(x95611,x95612),x95613),f30(f901(x95611,a891),x95614)))+P107(f315(f315(f317(f901(x95611,a891)),f756(x95613,x95614,x95611,x95612)),x95614))+P107(f315(f315(f317(f901(x95611,a891)),f754(x95613,x95614,x95611,x95612)),x95614))+~P107(f315(f54(f901(x95611,a891)),x95614))
% 201.34/201.11 [9582]~P76(x95822)+P107(f315(f315(f317(x95821),f758(x95823,x95824,x95821,x95822)),f755(x95823,x95824,x95821,x95822)))+~P107(f315(f54(x95821),f756(x95823,x95824,x95821,x95822)))+E(f315(f315(f8(f901(x95821,a891),x95822),f315(f8(x95821,x95822),x95823)),x95824),f315(f315(f8(x95821,x95822),x95823),f30(f901(x95821,a891),x95824)))+~P107(f315(f54(f901(x95821,a891)),x95824))
% 201.34/201.11 [9583]~P76(x95832)+P107(f315(f315(f317(x95831),f758(x95833,x95834,x95831,x95832)),f754(x95833,x95834,x95831,x95832)))+~P107(f315(f54(x95831),f756(x95833,x95834,x95831,x95832)))+E(f315(f315(f8(f901(x95831,a891),x95832),f315(f8(x95831,x95832),x95833)),x95834),f315(f315(f8(x95831,x95832),x95833),f30(f901(x95831,a891),x95834)))+~P107(f315(f54(f901(x95831,a891)),x95834))
% 201.34/201.11 [9600]P107(f315(x96001,x96002))+~P107(f315(f315(f317(x96003),f432(x96001,x96004,x96002,x96003)),f443(x96001,x96004,x96002,x96003)))+~P107(f315(f54(x96003),x96002))+~P107(f315(x96001,f177(f901(x96003,a891))))+~P107(f315(f315(f223(f901(x96003,a891)),x96002),x96004))
% 201.34/201.11 [9637]~P76(x96372)+P107(f315(f315(f317(x96371),f758(x96373,x96374,x96371,x96372)),f755(x96373,x96374,x96371,x96372)))+E(f315(f315(f8(f901(x96371,a891),x96372),f315(f8(x96371,x96372),x96373)),x96374),f315(f315(f8(x96371,x96372),x96373),f30(f901(x96371,a891),x96374)))+P107(f315(f315(f317(f901(x96371,a891)),f756(x96373,x96374,x96371,x96372)),x96374))+~P107(f315(f54(f901(x96371,a891)),x96374))
% 201.34/201.11 [9638]~P76(x96382)+P107(f315(f315(f317(x96381),f758(x96383,x96384,x96381,x96382)),f754(x96383,x96384,x96381,x96382)))+E(f315(f315(f8(f901(x96381,a891),x96382),f315(f8(x96381,x96382),x96383)),x96384),f315(f315(f8(x96381,x96382),x96383),f30(f901(x96381,a891),x96384)))+P107(f315(f315(f317(f901(x96381,a891)),f756(x96383,x96384,x96381,x96382)),x96384))+~P107(f315(f54(f901(x96381,a891)),x96384))
% 201.34/201.11 [9813]P107(f315(x98131,x98132))+~P107(f315(f54(x98133),x98132))+~P107(f315(x98131,f315(f315(f297(x98133),f432(x98131,x98134,x98132,x98133)),f443(x98131,x98134,x98132,x98133))))+~P107(f315(x98131,f177(f901(x98133,a891))))+~P107(f315(f315(f223(f901(x98133,a891)),x98132),x98134))
% 201.34/201.11 [7834]~P67(x78341)+P107(f315(f315(f224(x78341),x78342),f2(x78341)))+~P107(f315(f315(f223(x78341),f2(x78341)),x78344))+P107(f315(f315(f224(x78341),f2(x78341)),x78342))+P107(f315(f315(f223(x78341),f315(f315(f279(x78341),x78343),x78342)),x78344))
% 201.34/201.11 [7835]~P67(x78351)+P107(f315(f315(f224(x78351),x78352),f2(x78351)))+P107(f315(f315(f224(x78351),f2(x78351)),x78352))+~P107(f315(f315(f224(x78351),f2(x78351)),x78354))+P107(f315(f315(f224(x78351),f315(f315(f279(x78351),x78353),x78352)),x78354))
% 201.34/201.11 [8114]~P107(f315(f315(f223(a1),x81144),f2(a1)))+~E(x81142,f315(f315(f73(a1),f315(f315(f74(a1),x81141),x81143)),x81144))+P107(f315(f315(f224(a1),f2(a1)),x81141))+~P107(f315(f315(f224(a1),x81141),x81144))+P107(f315(f42(x81142,x81141),f315(f315(f240(a1,a1),x81143),x81144)))
% 201.34/201.11 [8148]~P107(f315(x81481,x81484))+P107(f315(x81481,f331(x81482,x81481,x81483)))+~P107(f315(f315(f223(a1),f2(a1)),x81482))+~P107(f315(f315(f224(a1),f2(a1)),x81483))+P107(f315(x81481,f315(f315(f3(a1),x81484),f315(f315(f74(a1),x81482),x81483))))
% 201.34/201.11 [8149]~P107(f315(x81491,x81494))+P107(f315(x81491,f334(x81492,x81491,x81493)))+~P107(f315(f315(f223(a1),f2(a1)),x81492))+~P107(f315(f315(f224(a1),f2(a1)),x81493))+P107(f315(x81491,f315(f315(f73(a1),x81494),f315(f315(f74(a1),x81492),x81493))))
% 201.34/201.11 [8150]~P67(x81501)+P107(f315(f315(f224(x81501),x81502),f2(x81501)))+P107(f315(f315(f224(x81501),f2(x81501)),x81502))+P107(f315(f315(f223(x81501),f2(x81501)),x81503))+~P107(f315(f315(f223(x81501),f315(f315(f279(x81501),x81504),x81502)),x81503))
% 201.34/201.11 [8151]~P67(x81511)+P107(f315(f315(f224(x81511),x81512),f2(x81511)))+P107(f315(f315(f224(x81511),f2(x81511)),x81512))+P107(f315(f315(f224(x81511),f2(x81511)),x81513))+~P107(f315(f315(f224(x81511),f315(f315(f279(x81511),x81514),x81512)),x81513))
% 201.34/201.11 [8203]~E(x82031,f315(f315(f73(a1),f315(f315(f74(a1),x82032),x82033)),x82034))+~P107(f315(f315(f223(a1),f2(a1)),x82034))+~P107(f315(f315(f224(a1),f2(a1)),x82032))+~P107(f315(f315(f224(a1),x82034),x82032))+P107(f315(f42(x82031,x82032),f315(f315(f240(a1,a1),x82033),x82034)))
% 201.34/201.11 [8320]~P67(x83201)+P107(f315(f315(f224(x83201),x83202),f2(x83201)))+~P107(f315(f315(f223(x83201),f2(x83201)),x83204))+~P107(f315(f315(f223(x83201),x83203),f315(f315(f74(x83201),x83204),x83202)))+P107(f315(f315(f223(x83201),f315(f315(f279(x83201),x83203),x83202)),x83204))
% 201.34/201.11 [8321]~P67(x83211)+P107(f315(f315(f224(x83211),x83212),f2(x83211)))+~P107(f315(f315(f224(x83211),f2(x83211)),x83214))+~P107(f315(f315(f224(x83211),x83213),f315(f315(f74(x83211),x83214),x83212)))+P107(f315(f315(f224(x83211),f315(f315(f279(x83211),x83213),x83212)),x83214))
% 201.34/201.11 [8405]~P67(x84051)+P107(f315(f315(f224(x84051),x84052),f2(x84051)))+~P107(f315(f315(f223(x84051),x84053),f2(x84051)))+P107(f315(f315(f223(x84051),x84053),f315(f315(f279(x84051),x84054),x84052)))+~P107(f315(f315(f223(x84051),f315(f315(f74(x84051),x84053),x84052)),x84054))
% 201.34/201.11 [8406]~P67(x84061)+P107(f315(f315(f224(x84061),x84062),f2(x84061)))+~P107(f315(f315(f224(x84061),x84063),f2(x84061)))+P107(f315(f315(f224(x84061),x84063),f315(f315(f279(x84061),x84064),x84062)))+~P107(f315(f315(f224(x84061),f315(f315(f74(x84061),x84063),x84062)),x84064))
% 201.34/201.11 [8558]~P67(x85581)+~P107(f315(f315(f224(x85581),x85582),f2(x85581)))+P107(f315(f315(f224(x85581),f2(x85581)),x85582))+~P107(f315(f315(f223(x85581),f315(f315(f279(x85581),x85584),x85582)),x85583))+P107(f315(f315(f223(x85581),f315(f315(f74(x85581),x85583),x85582)),x85584))
% 201.34/201.11 [8559]~P67(x85591)+~P107(f315(f315(f224(x85591),x85592),f2(x85591)))+P107(f315(f315(f224(x85591),f2(x85591)),x85592))+~P107(f315(f315(f223(x85591),f315(f315(f74(x85591),x85594),x85592)),x85593))+P107(f315(f315(f223(x85591),f315(f315(f279(x85591),x85593),x85592)),x85594))
% 201.34/201.11 [8560]~P67(x85601)+~P107(f315(f315(f224(x85601),x85602),f2(x85601)))+P107(f315(f315(f224(x85601),f2(x85601)),x85602))+~P107(f315(f315(f224(x85601),f315(f315(f279(x85601),x85604),x85602)),x85603))+P107(f315(f315(f224(x85601),f315(f315(f74(x85601),x85603),x85602)),x85604))
% 201.34/201.11 [8561]~P67(x85611)+~P107(f315(f315(f224(x85611),x85612),f2(x85611)))+P107(f315(f315(f224(x85611),f2(x85611)),x85612))+~P107(f315(f315(f224(x85611),f315(f315(f74(x85611),x85614),x85612)),x85613))+P107(f315(f315(f224(x85611),f315(f315(f279(x85611),x85613),x85612)),x85614))
% 201.34/201.11 [8577]~P67(x85771)+~P107(f315(f315(f223(x85771),f2(x85771)),x85774))+P107(f315(f315(f224(x85771),f2(x85771)),x85772))+~P107(f315(f315(f223(x85771),f315(f315(f74(x85771),x85774),x85772)),x85773))+P107(f315(f315(f223(x85771),f315(f315(f279(x85771),x85773),x85772)),x85774))
% 201.34/201.11 [8578]~P67(x85781)+~P107(f315(f315(f224(x85781),f2(x85781)),x85784))+P107(f315(f315(f224(x85781),f2(x85781)),x85782))+~P107(f315(f315(f224(x85781),f315(f315(f74(x85781),x85784),x85782)),x85783))+P107(f315(f315(f224(x85781),f315(f315(f279(x85781),x85783),x85782)),x85784))
% 201.34/201.11 [8654]~P67(x86541)+~P107(f315(f315(f224(x86541),x86544),f2(x86541)))+~P107(f315(f315(f223(x86541),x86543),f315(f315(f74(x86541),x86542),x86544)))+P107(f315(f315(f223(x86541),x86542),f315(f315(f279(x86541),x86543),x86544)))+~P107(f315(f315(f223(x86541),f315(f315(f74(x86541),x86542),x86544)),x86543))
% 201.34/201.11 [8655]~P67(x86551)+~P107(f315(f315(f223(x86551),x86552),f2(x86551)))+~P107(f315(f315(f223(x86551),x86553),f315(f315(f74(x86551),x86552),x86554)))+P107(f315(f315(f223(x86551),x86552),f315(f315(f279(x86551),x86553),x86554)))+~P107(f315(f315(f223(x86551),f315(f315(f74(x86551),x86552),x86554)),x86553))
% 201.34/201.11 [8656]~P67(x86561)+~P107(f315(f315(f224(x86561),x86564),f2(x86561)))+~P107(f315(f315(f224(x86561),x86563),f315(f315(f74(x86561),x86562),x86564)))+P107(f315(f315(f224(x86561),x86562),f315(f315(f279(x86561),x86563),x86564)))+~P107(f315(f315(f224(x86561),f315(f315(f74(x86561),x86562),x86564)),x86563))
% 201.34/201.11 [8657]~P67(x86571)+~P107(f315(f315(f224(x86571),x86572),f2(x86571)))+~P107(f315(f315(f224(x86571),x86573),f315(f315(f74(x86571),x86572),x86574)))+P107(f315(f315(f224(x86571),x86572),f315(f315(f279(x86571),x86573),x86574)))+~P107(f315(f315(f224(x86571),f315(f315(f74(x86571),x86572),x86574)),x86573))
% 201.34/201.11 [8780]~P67(x87801)+~P107(f315(f315(f224(x87801),x87803),f2(x87801)))+~P107(f315(f315(f223(x87801),x87802),f315(f315(f74(x87801),x87804),x87803)))+~P107(f315(f315(f223(x87801),f315(f315(f74(x87801),x87804),x87803)),x87802))+P107(f315(f315(f223(x87801),f315(f315(f279(x87801),x87802),x87803)),x87804))
% 201.34/201.11 [8781]~P67(x87811)+~P107(f315(f315(f224(x87811),x87813),f2(x87811)))+~P107(f315(f315(f224(x87811),x87812),f315(f315(f74(x87811),x87814),x87813)))+~P107(f315(f315(f224(x87811),f315(f315(f74(x87811),x87814),x87813)),x87812))+P107(f315(f315(f224(x87811),f315(f315(f279(x87811),x87812),x87813)),x87814))
% 201.34/201.11 [8798]~P67(x87981)+~P107(f315(f315(f223(x87981),f2(x87981)),x87984))+~P107(f315(f315(f223(x87981),x87982),f315(f315(f74(x87981),x87984),x87983)))+~P107(f315(f315(f223(x87981),f315(f315(f74(x87981),x87984),x87983)),x87982))+P107(f315(f315(f223(x87981),f315(f315(f279(x87981),x87982),x87983)),x87984))
% 201.34/201.11 [8799]~P67(x87991)+~P107(f315(f315(f224(x87991),f2(x87991)),x87994))+~P107(f315(f315(f224(x87991),x87992),f315(f315(f74(x87991),x87994),x87993)))+~P107(f315(f315(f224(x87991),f315(f315(f74(x87991),x87994),x87993)),x87992))+P107(f315(f315(f224(x87991),f315(f315(f279(x87991),x87992),x87993)),x87994))
% 201.34/201.11 [8982]E(f315(f315(f3(a1),f430(x89821,x89822,x89823,x89824)),f431(x89821,x89822,x89823,x89824)),x89824)+~P107(f315(f315(f224(a1),f2(a1)),x89823))+~P107(f315(f315(f317(a1),x89822),x89821))+~P107(f315(f315(f224(a1),x89824),x89822))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x89824),x89823)),x89822))
% 201.34/201.11 [9053]~P107(f315(x90531,x90532))+~P107(f315(f315(f223(a1),f2(a1)),x90533))+~P107(f315(f315(f224(a1),f2(a1)),x90534))+~P107(f315(x90531,f315(f315(f3(a1),f331(x90533,x90531,x90534)),x90534)))+P107(f315(x90531,f315(f315(f3(a1),x90532),f315(f315(f74(a1),x90533),x90534))))
% 201.34/201.11 [9054]~P107(f315(x90541,x90542))+~P107(f315(f315(f223(a1),f2(a1)),x90543))+~P107(f315(f315(f224(a1),f2(a1)),x90544))+~P107(f315(x90541,f315(f315(f73(a1),f334(x90543,x90541,x90544)),x90544)))+P107(f315(x90541,f315(f315(f73(a1),x90542),f315(f315(f74(a1),x90543),x90544))))
% 201.34/201.11 [9204]~P107(f315(f315(f224(a1),f2(a1)),x92043))+~P107(f315(f315(f317(a1),x92042),x92041))+~P107(f315(f315(f224(a1),x92044),x92042))+P107(f315(f315(f317(a1),f430(x92041,x92042,x92043,x92044)),x92041))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x92044),x92043)),x92042))
% 201.34/201.11 [9223]E(f315(f315(f3(a1),f417(x92231,x92232,x92233,x92234)),f418(x92231,x92232,x92233,x92234)),x92234)+~P107(f315(f315(f224(a1),f2(a1)),x92233))+~P107(f315(f315(f223(a1),x92234),x92232))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x92232),f71(a1))),x92231))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x92234),x92233)),x92232))
% 201.34/201.11 [9251]~P107(f315(f315(f224(a1),f2(a1)),x92512))+~P107(f315(f315(f317(a1),x92513),x92514))+~P107(f315(f315(f224(a1),x92511),x92513))+P107(f315(f315(f317(a1),f431(x92514,x92513,x92512,x92511)),f291(a1,f71(a1),x92512)))+P107(f315(f315(f224(a1),f315(f315(f73(a1),x92511),x92512)),x92513))
% 201.34/201.11 [9342]~P107(f315(f315(f224(a1),f2(a1)),x93423))+~P107(f315(f315(f223(a1),x93424),x93422))+P107(f315(f315(f317(a1),f417(x93421,x93422,x93423,x93424)),x93421))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x93422),f71(a1))),x93421))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x93424),x93423)),x93422))
% 201.34/201.11 [9389]~P107(f315(f315(f224(a1),f2(a1)),x93892))+~P107(f315(f315(f223(a1),x93891),x93893))+P107(f315(f315(f317(a1),f418(x93894,x93893,x93892,x93891)),f291(a1,f71(a1),x93892)))+~P107(f315(f315(f317(a1),f315(f315(f73(a1),x93893),f71(a1))),x93894))+P107(f315(f315(f223(a1),f315(f315(f73(a1),x93891),x93892)),x93893))
% 201.34/201.11 [9691]~P39(x96911,x96913)+~P28(x96911,x96914)+P39(x96911,f315(f315(f99(f901(f900(x96911,x96911),a891)),x96912),x96913))+~P107(f315(f315(f223(f901(f900(x96911,x96911),a891)),x96912),f315(f239(f901(f900(x96911,x96911),a891),f901(f900(x96911,x96911),a891)),x96914)))+~P107(f315(f315(f223(f901(f900(x96911,x96911),a891)),x96913),f315(f244(f901(f900(x96911,x96911),a891),f901(f900(x96911,x96911),a891)),x96914)))
% 201.34/201.11 [10078]~P18(x100782,x100784,x100783)+E(x100781,f177(f901(x100782,a891)))+~P107(f315(f54(x100782),x100781))+P107(f315(f315(f317(x100782),f315(x100783,x100781)),x100781))+~P107(f315(f315(f317(x100782),f315(f315(x100784,f397(x100781,x100783,x100784,x100782)),f404(x100781,x100783,x100784,x100782))),f315(f315(f297(x100782),f397(x100781,x100783,x100784,x100782)),f315(f315(f297(x100782),f404(x100781,x100783,x100784,x100782)),f177(f901(x100782,a891))))))
% 201.34/201.11 [10003]~P111(x100032)+~P64(x100031)+~P107(f315(f315(f223(f901(x100031,x100032)),x100033),x100034))+P107(f315(f315(f224(f901(x100031,x100032)),x100033),x100034))+~P107(f315(f49(x100031),f315(f315(f10(a891,a891,x100031),a310),f315(f315(f20(x100031,x100032,a891),f315(f315(f10(x100032,f901(x100032,a891),x100031),a312),x100033)),x100034))))
% 201.34/201.11 [9606]~P56(x96061,x96061,x96064)+P107(f315(f315(f317(f900(x96061,x96061)),f315(f315(f240(x96061,x96061),x96062),x96063)),f295(x96061,x96064)))+P107(f315(f315(f317(f900(x96061,x96061)),f315(f315(f240(x96061,x96061),x96063),x96062)),f295(x96061,x96064)))+~P107(f315(f315(f317(f900(x96061,x96061)),f315(f315(f240(x96061,x96061),x96065),x96062)),f295(x96061,x96064)))+~P107(f315(f315(f317(f900(x96061,x96061)),f315(f315(f240(x96061,x96061),x96065),x96063)),f295(x96061,x96064)))
% 201.34/201.11 [5690]E(x56901,f2(a893))+~E(f315(f28(x56902),x56905),x56901)+E(f315(f28(x56902),x56903),f315(a101,x56901))+~E(x56903,f315(f315(f297(x56902),x56904),x56905))+P107(f315(f315(f317(x56902),x56904),x56905))
% 201.34/201.11 [5812]~P66(x58122)+E(x58121,f2(x58122))+E(x58123,f2(x58122))+~E(f315(f315(f279(x58122),x58124),x58123),f315(f315(f279(x58122),x58125),x58121))+E(f315(f315(f74(x58122),x58124),x58121),f315(f315(f74(x58122),x58125),x58123))
% 201.34/201.11 [5813]~P66(x58132)+E(x58131,f2(x58132))+E(x58133,f2(x58132))+~E(f315(f315(f74(x58132),x58134),x58133),f315(f315(f74(x58132),x58135),x58131))+E(f315(f315(f279(x58132),x58134),x58131),f315(f315(f279(x58132),x58135),x58133))
% 201.34/201.11 [5891]~E(f315(f28(x58911),x58915),x58913)+~E(x58915,f177(f901(x58911,a891)))+E(f315(f28(x58911),x58912),f315(a101,x58913))+~E(x58912,f315(f315(f297(x58911),x58914),x58915))+P107(f315(f315(f317(x58911),x58914),x58915))
% 201.34/201.11 [6131]~P113(x61312)+~E(f315(x61313,x61315),f2(x61312))+E(f315(f315(f11(x61311,x61312),x61313),x61314),f2(x61312))+~P107(f315(f54(x61311),x61314))+~P107(f315(f315(f317(x61311),x61315),x61314))
% 201.34/201.11 [6514]~P110(x65143)+E(x65141,x65142)+~E(f315(f290(x65143,x65144),x65141),f315(f290(x65143,x65145),x65142))+~P107(f315(f315(f224(x65143),x65145),x65142))+~P107(f315(f315(f224(x65143),x65144),x65141))
% 201.34/201.11 [6515]~P110(x65153)+E(x65151,x65152)+~E(f315(f290(x65153,x65151),x65154),f315(f290(x65153,x65152),x65155))+~P107(f315(f315(f224(x65153),x65152),x65155))+~P107(f315(f315(f224(x65153),x65151),x65154))
% 201.34/201.11 [7597]~P110(x75971)+~P13(x75971,f315(f315(f123(x75971),x75974),x75975))+~P107(f315(f315(f317(x75971),x75973),f315(f161(x75971),x75975)))+~P107(f315(f315(f317(x75971),x75972),f315(f161(x75971),x75974)))+P107(f315(f315(f223(x75971),x75972),x75973))
% 201.34/201.11 [8691]~P111(x86911)+~P107(f315(f315(f224(f901(x86911,a891)),f291(x86911,x86915,x86912)),f291(x86911,x86914,x86913)))+~P107(f315(f315(f223(x86911),x86915),x86912))+P107(f315(f315(f224(x86911),x86912),x86913))+P107(f315(f315(f224(x86911),x86914),x86915))
% 201.34/201.11 [10121]~P17(x101212,x101215,x101213)+E(x101211,f177(f901(x101212,a891)))+~E(f315(f315(x101215,f315(x101214,f511(x101211,x101214,x101213,x101215,x101212))),f315(x101214,f512(x101211,x101214,x101213,x101215,x101212))),f315(x101214,f315(f315(x101215,f511(x101211,x101214,x101213,x101215,x101212)),f512(x101211,x101214,x101213,x101215,x101212))))+E(f315(x101213,f315(f298(x101212,x101212,x101214),x101211)),f315(x101214,f315(x101213,x101211)))+~P107(f315(f54(x101212),x101211))
% 201.34/201.11 [6511]~P18(x65112,x65115,x65113)+E(x65111,f177(f901(x65112,a891)))+~P107(f315(f54(x65112),x65111))+E(f315(x65113,f315(f315(f297(x65112),x65114),x65111)),f315(f315(x65115,x65114),f315(x65113,x65111)))+P107(f315(f315(f317(x65112),x65114),x65111))
% 201.34/201.11 [7357]~P17(x73572,x73573,x73574)+E(f315(f315(x73573,f315(x73574,x73571)),f315(x73574,x73575)),f315(x73574,x73575))+E(x73571,f177(f901(x73572,a891)))+~P107(f315(f54(x73572),x73575))+~P107(f315(f315(f223(f901(x73572,a891)),x73571),x73575))
% 201.34/201.11 [7733]~P18(x77334,x77335,x77331)+E(f315(x77331,x77332),x77333)+~P107(f315(f54(x77334),x77332))+~E(f315(f315(f3(f901(x77334,a891)),x77332),f315(f315(f297(x77334),x77333),f177(f901(x77334,a891)))),f177(f901(x77334,a891)))+~P107(f315(f315(f317(x77334),x77333),x77332))
% 201.34/201.11 [8612]~P72(x86121)+~P123(x86121)+~P107(f315(f54(x86122),x86125))+P107(f315(f315(f275(x86121),f315(f315(f11(x86122,x86121),x86123),x86124)),f315(f315(f11(x86122,x86121),x86123),x86125)))+~P107(f315(f315(f223(f901(x86122,a891)),x86124),x86125))
% 201.34/201.11 [8661]E(x86611,x86612)+~P8(x86613,x86614,x86615)+E(f315(f315(f90(f901(x86613,a891)),x86611),x86612),f177(f901(x86613,a891)))+~P107(f315(f315(f317(f901(x86613,a891)),x86612),f315(f315(f53(x86613),x86614),x86615)))+~P107(f315(f315(f317(f901(x86613,a891)),x86611),f315(f315(f53(x86613),x86614),x86615)))
% 201.34/201.11 [9472]~P76(x94722)+~E(f315(x94723,f867(x94723,x94724,x94725,x94721,x94722)),f2(x94722))+E(f315(f315(f8(x94721,x94722),x94723),x94724),f315(f315(f8(x94721,x94722),x94723),x94725))+~P107(f315(f54(x94721),x94725))+~P107(f315(f315(f223(f901(x94721,a891)),x94724),x94725))
% 201.34/201.11 [9473]~P76(x94732)+~E(f315(x94733,f871(x94733,x94734,x94735,x94731,x94732)),f2(x94732))+E(f315(f315(f8(x94731,x94732),x94733),x94734),f315(f315(f8(x94731,x94732),x94733),x94735))+~P107(f315(f54(x94731),x94735))+~P107(f315(f315(f223(f901(x94731,a891)),x94734),x94735))
% 201.34/201.11 [9474]~P72(x94742)+~E(f315(x94743,f868(x94743,x94744,x94745,x94741,x94742)),f71(x94742))+E(f315(f315(f11(x94741,x94742),x94743),x94744),f315(f315(f11(x94741,x94742),x94743),x94745))+~P107(f315(f54(x94741),x94745))+~P107(f315(f315(f223(f901(x94741,a891)),x94744),x94745))
% 201.34/201.11 [9475]~P72(x94752)+~E(f315(x94753,f869(x94753,x94754,x94755,x94751,x94752)),f71(x94752))+E(f315(f315(f11(x94751,x94752),x94753),x94754),f315(f315(f11(x94751,x94752),x94753),x94755))+~P107(f315(f54(x94751),x94755))+~P107(f315(f315(f223(f901(x94751,a891)),x94754),x94755))
% 201.34/201.11 [9956]~P91(x99561)+~P107(f315(f54(x99562),x99565))+~P107(f315(f315(f223(x99561),f2(x99561)),f315(x99563,f855(x99563,x99564,x99565,x99562,x99561))))+P107(f315(f315(f223(x99561),f315(f315(f8(x99562,x99561),x99563),x99564)),f315(f315(f8(x99562,x99561),x99563),x99565)))+~P107(f315(f315(f223(f901(x99562,a891)),x99564),x99565))
% 201.34/201.11 [7594]E(x75941,f2(a893))+P107(f315(x75942,x75943))+~E(x75944,f315(f315(f73(a893),f315(f315(f74(a893),x75941),x75943)),x75945))+~P107(f315(f315(f224(a893),x75945),x75941))+~P107(f315(x75942,f315(f315(f29(a893),x75944),x75941)))
% 201.34/201.11 [7671]E(x76711,f2(a893))+P107(f315(x76712,x76713))+~P107(f315(x76712,f38(a893,x76714,x76711)))+~E(x76714,f315(f315(f73(a893),f315(f315(f74(a893),x76711),x76715)),x76713))+~P107(f315(f315(f224(a893),x76713),x76711))
% 201.34/201.11 [7964]~P66(x79643)+E(f315(x79641,x79642),f2(x79643))+~P107(f315(f54(x79644),x79645))+E(f315(f315(f11(x79644,x79643),x79641),f315(f315(f3(f901(x79644,a891)),x79645),f315(f315(f297(x79644),x79642),f177(f901(x79644,a891))))),f315(f315(f11(x79644,x79643),x79641),x79645))+P107(f315(f315(f317(x79644),x79642),x79645))
% 201.34/201.11 [8360]~P76(x83601)+~P107(f315(f54(x83602),x83605))+~P107(f315(f54(x83602),x83604))+~E(f315(f315(f90(f901(x83602,a891)),x83604),x83605),f177(f901(x83602,a891)))+E(f315(f315(f73(x83601),f315(f315(f8(x83602,x83601),x83603),x83604)),f315(f315(f8(x83602,x83601),x83603),x83605)),f315(f315(f8(x83602,x83601),x83603),f315(f315(f99(f901(x83602,a891)),x83604),x83605)))
% 201.34/201.11 [8362]~P72(x83621)+~P107(f315(f54(x83622),x83625))+~P107(f315(f54(x83622),x83624))+~E(f315(f315(f90(f901(x83622,a891)),x83624),x83625),f177(f901(x83622,a891)))+E(f315(f315(f74(x83621),f315(f315(f11(x83622,x83621),x83623),x83624)),f315(f315(f11(x83622,x83621),x83623),x83625)),f315(f315(f11(x83622,x83621),x83623),f315(f315(f99(f901(x83622,a891)),x83624),x83625)))
% 201.34/201.11 [8461]~P66(x84613)+E(f315(x84611,x84612),f2(x84613))+~P107(f315(f54(x84614),x84615))+E(f315(f315(f11(x84614,x84613),x84611),f315(f315(f3(f901(x84614,a891)),x84615),f315(f315(f297(x84614),x84612),f177(f901(x84614,a891))))),f315(f315(f279(x84613),f315(f315(f11(x84614,x84613),x84611),x84615)),f315(x84611,x84612)))+~P107(f315(f315(f317(x84614),x84612),x84615))
% 201.34/201.11 [9181]~P8(x91811,x91815,x91814)+~E(f315(f315(f53(x91811),f315(f315(f297(x91811),x91812),f177(f901(x91811,a891)))),x91814),f315(f315(f53(x91811),f315(f315(f297(x91811),x91813),f177(f901(x91811,a891)))),x91814))+~P107(f315(f315(f317(x91811),x91813),x91815))+~P107(f315(f315(f317(x91811),x91812),x91815))+P107(f315(f315(f317(f900(x91811,x91811)),f315(f315(f240(x91811,x91811),x91812),x91813)),x91814))
% 201.34/201.11 [9203]~P8(x92031,x92035,x92033)+E(f315(f315(f53(x92031),f315(f315(f297(x92031),x92032),f177(f901(x92031,a891)))),x92033),f315(f315(f53(x92031),f315(f315(f297(x92031),x92034),f177(f901(x92031,a891)))),x92033))+~P107(f315(f315(f317(x92031),x92034),x92035))+~P107(f315(f315(f317(x92031),x92032),x92035))+~P107(f315(f315(f317(f900(x92031,x92031)),f315(f315(f240(x92031,x92031),x92032),x92034)),x92033))
% 201.34/201.11 [9501]~P72(x95011)+~P107(f315(f54(x95012),x95015))+~P107(f315(f54(x95012),x95014))+~E(f315(f315(f90(f901(x95012,a891)),x95014),x95015),f177(f901(x95012,a891)))+E(f315(f315(f74(x95011),f315(f315(f315(f58(x95011,x95012,f74(x95011)),x95013),f71(x95011)),x95014)),f315(f315(f315(f58(x95011,x95012,f74(x95011)),x95013),f71(x95011)),x95015)),f315(f315(f315(f58(x95011,x95012,f74(x95011)),x95013),f71(x95011)),f315(f315(f99(f901(x95012,a891)),x95014),x95015)))
% 201.34/201.11 [9512]~P76(x95121)+~E(f315(x95123,f859(x95123,x95125,x95124,x95122,x95121)),f2(x95121))+~P107(f315(f54(x95122),x95124))+~P107(f315(f54(x95122),x95125))+E(f315(f315(f73(x95121),f315(f315(f8(x95122,x95121),x95123),x95124)),f315(f315(f8(x95122,x95121),x95123),x95125)),f315(f315(f8(x95122,x95121),x95123),f315(f315(f99(f901(x95122,a891)),x95124),x95125)))
% 201.34/201.11 [9513]~P76(x95131)+~E(f315(x95133,f860(x95133,x95135,x95134,x95132,x95131)),f2(x95131))+~P107(f315(f54(x95132),x95134))+~P107(f315(f54(x95132),x95135))+E(f315(f315(f73(x95131),f315(f315(f8(x95132,x95131),x95133),x95134)),f315(f315(f8(x95132,x95131),x95133),x95135)),f315(f315(f8(x95132,x95131),x95133),f315(f315(f99(f901(x95132,a891)),x95134),x95135)))
% 201.34/201.11 [9514]~P72(x95141)+~E(f315(x95143,f857(x95143,x95145,x95144,x95142,x95141)),f71(x95141))+~P107(f315(f54(x95142),x95144))+~P107(f315(f54(x95142),x95145))+E(f315(f315(f74(x95141),f315(f315(f11(x95142,x95141),x95143),x95144)),f315(f315(f11(x95142,x95141),x95143),x95145)),f315(f315(f11(x95142,x95141),x95143),f315(f315(f99(f901(x95142,a891)),x95144),x95145)))
% 201.34/201.11 [9515]~P72(x95151)+~E(f315(x95153,f858(x95153,x95155,x95154,x95152,x95151)),f71(x95151))+~P107(f315(f54(x95152),x95154))+~P107(f315(f54(x95152),x95155))+E(f315(f315(f74(x95151),f315(f315(f11(x95152,x95151),x95153),x95154)),f315(f315(f11(x95152,x95151),x95153),x95155)),f315(f315(f11(x95152,x95151),x95153),f315(f315(f99(f901(x95152,a891)),x95154),x95155)))
% 201.34/201.11 [9734]~P72(x97341)+~E(f315(x97343,f689(x97343,x97345,x97344,x97342,x97341)),f71(x97341))+~P107(f315(f54(x97342),x97344))+~P107(f315(f54(x97342),x97345))+E(f315(f315(f74(x97341),f315(f315(f315(f58(x97341,x97342,f74(x97341)),x97343),f71(x97341)),x97344)),f315(f315(f315(f58(x97341,x97342,f74(x97341)),x97343),f71(x97341)),x97345)),f315(f315(f315(f58(x97341,x97342,f74(x97341)),x97343),f71(x97341)),f315(f315(f99(f901(x97342,a891)),x97344),x97345)))
% 201.34/201.11 [9844]~P76(x98442)+E(f315(f315(f8(x98441,x98442),x98443),x98444),f315(f315(f8(x98441,x98442),x98443),x98445))+~P107(f315(f54(x98441),x98445))+~P107(f315(f315(f223(f901(x98441,a891)),x98444),x98445))+P107(f315(f315(f317(x98441),f867(x98443,x98444,x98445,x98441,x98442)),f315(f315(f3(f901(x98441,a891)),x98445),x98444)))
% 201.34/201.11 [9845]~P76(x98452)+E(f315(f315(f8(x98451,x98452),x98453),x98454),f315(f315(f8(x98451,x98452),x98453),x98455))+~P107(f315(f54(x98451),x98455))+~P107(f315(f315(f223(f901(x98451,a891)),x98454),x98455))+P107(f315(f315(f317(x98451),f871(x98453,x98454,x98455,x98451,x98452)),f315(f315(f3(f901(x98451,a891)),x98455),x98454)))
% 201.34/201.11 [9846]~P72(x98462)+E(f315(f315(f11(x98461,x98462),x98463),x98464),f315(f315(f11(x98461,x98462),x98463),x98465))+~P107(f315(f54(x98461),x98465))+~P107(f315(f315(f223(f901(x98461,a891)),x98464),x98465))+P107(f315(f315(f317(x98461),f868(x98463,x98464,x98465,x98461,x98462)),f315(f315(f3(f901(x98461,a891)),x98465),x98464)))
% 201.34/201.11 [9847]~P72(x98472)+E(f315(f315(f11(x98471,x98472),x98473),x98474),f315(f315(f11(x98471,x98472),x98473),x98475))+~P107(f315(f54(x98471),x98475))+~P107(f315(f315(f223(f901(x98471,a891)),x98474),x98475))+P107(f315(f315(f317(x98471),f869(x98473,x98474,x98475,x98471,x98472)),f315(f315(f3(f901(x98471,a891)),x98475),x98474)))
% 201.34/201.11 [9865]~P76(x98651)+~P107(f315(f54(x98652),x98654))+~P107(f315(f54(x98652),x98655))+E(f315(f315(f73(x98651),f315(f315(f8(x98652,x98651),x98653),x98654)),f315(f315(f8(x98652,x98651),x98653),x98655)),f315(f315(f8(x98652,x98651),x98653),f315(f315(f99(f901(x98652,a891)),x98654),x98655)))+P107(f315(f315(f317(x98652),f859(x98653,x98655,x98654,x98652,x98651)),f315(f315(f90(f901(x98652,a891)),x98654),x98655)))
% 201.34/201.11 [9866]~P76(x98661)+~P107(f315(f54(x98662),x98664))+~P107(f315(f54(x98662),x98665))+E(f315(f315(f73(x98661),f315(f315(f8(x98662,x98661),x98663),x98664)),f315(f315(f8(x98662,x98661),x98663),x98665)),f315(f315(f8(x98662,x98661),x98663),f315(f315(f99(f901(x98662,a891)),x98664),x98665)))+P107(f315(f315(f317(x98662),f860(x98663,x98665,x98664,x98662,x98661)),f315(f315(f90(f901(x98662,a891)),x98664),x98665)))
% 201.34/201.11 [9867]~P72(x98671)+~P107(f315(f54(x98672),x98674))+~P107(f315(f54(x98672),x98675))+E(f315(f315(f74(x98671),f315(f315(f11(x98672,x98671),x98673),x98674)),f315(f315(f11(x98672,x98671),x98673),x98675)),f315(f315(f11(x98672,x98671),x98673),f315(f315(f99(f901(x98672,a891)),x98674),x98675)))+P107(f315(f315(f317(x98672),f857(x98673,x98675,x98674,x98672,x98671)),f315(f315(f90(f901(x98672,a891)),x98674),x98675)))
% 201.34/201.11 [9868]~P72(x98681)+~P107(f315(f54(x98682),x98684))+~P107(f315(f54(x98682),x98685))+E(f315(f315(f74(x98681),f315(f315(f11(x98682,x98681),x98683),x98684)),f315(f315(f11(x98682,x98681),x98683),x98685)),f315(f315(f11(x98682,x98681),x98683),f315(f315(f99(f901(x98682,a891)),x98684),x98685)))+P107(f315(f315(f317(x98682),f858(x98683,x98685,x98684,x98682,x98681)),f315(f315(f90(f901(x98682,a891)),x98684),x98685)))
% 201.34/201.11 [9874]~P91(x98745)+~P107(f315(f54(x98741),x98744))+P107(f315(f315(f223(x98745),f315(f315(f8(x98741,x98745),x98742),x98743)),f315(f315(f8(x98741,x98745),x98742),x98744)))+~P107(f315(f315(f223(f901(x98741,a891)),x98743),x98744))+P107(f315(f315(f317(x98741),f855(x98742,x98743,x98744,x98741,x98745)),f315(f315(f3(f901(x98741,a891)),x98744),x98743)))
% 201.34/201.11 [9918]~P72(x99181)+~P107(f315(f54(x99182),x99184))+~P107(f315(f54(x99182),x99185))+E(f315(f315(f74(x99181),f315(f315(f315(f58(x99181,x99182,f74(x99181)),x99183),f71(x99181)),x99184)),f315(f315(f315(f58(x99181,x99182,f74(x99181)),x99183),f71(x99181)),x99185)),f315(f315(f315(f58(x99181,x99182,f74(x99181)),x99183),f71(x99181)),f315(f315(f99(f901(x99182,a891)),x99184),x99185)))+P107(f315(f315(f317(x99182),f689(x99183,x99185,x99184,x99182,x99181)),f315(f315(f90(f901(x99182,a891)),x99184),x99185)))
% 201.34/201.11 [8871]~P18(x88711,x88714,x88715)+~P107(f315(f54(x88711),x88712))+E(f315(f315(f3(f901(x88711,a891)),x88712),f315(f315(f297(x88711),x88713),f177(f901(x88711,a891)))),f177(f901(x88711,a891)))+~P107(f315(f315(f317(x88711),x88713),x88712))+E(f315(f315(x88714,x88713),f315(x88715,f315(f315(f3(f901(x88711,a891)),x88712),f315(f315(f297(x88711),x88713),f177(f901(x88711,a891)))))),f315(x88715,x88712))
% 201.34/201.11 [8949]~P18(x89491,x89494,x89495)+~P107(f315(f54(x89491),x89493))+~P107(f315(f54(x89491),x89492))+E(f315(f315(f90(f901(x89491,a891)),x89492),x89493),f177(f901(x89491,a891)))+E(f315(f315(x89494,f315(x89495,f315(f315(f99(f901(x89491,a891)),x89492),x89493))),f315(x89495,f315(f315(f90(f901(x89491,a891)),x89492),x89493))),f315(f315(x89494,f315(x89495,x89492)),f315(x89495,x89493)))
% 201.34/201.11 [9517]~P107(f315(f315(f223(a1),x95174),f2(a1)))+~P107(f315(f315(f224(a1),x95173),x95175))+P107(f315(f315(f223(a1),x95171),x95172))+~P107(f315(f315(f224(a1),x95173),x95174))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),f315(f315(f74(a1),x95173),x95172)),x95175)),f315(f315(f73(a1),f315(f315(f74(a1),x95173),x95171)),x95174)))
% 201.34/201.11 [9519]~P107(f315(f315(f223(a1),f2(a1)),x95195))+P107(f315(f315(f223(a1),x95191),x95192))+~P107(f315(f315(f224(a1),x95193),x95194))+~P107(f315(f315(f224(a1),x95195),x95194))+~P107(f315(f315(f223(a1),f315(f315(f73(a1),f315(f315(f74(a1),x95194),x95191)),x95195)),f315(f315(f73(a1),f315(f315(f74(a1),x95194),x95192)),x95193)))
% 201.34/201.11 [9643]~P66(x96435)+E(f315(x96431,f870(x96431,x96432,x96433,x96434,x96435)),f2(x96435))+~P107(f315(f54(x96434),x96433))+~P107(f315(f54(x96434),x96432))+E(f315(f315(f279(x96435),f315(f315(f74(x96435),f315(f315(f11(x96434,x96435),x96431),x96433)),f315(f315(f11(x96434,x96435),x96431),x96432))),f315(f315(f11(x96434,x96435),x96431),f315(f315(f90(f901(x96434,a891)),x96433),x96432))),f315(f315(f11(x96434,x96435),x96431),f315(f315(f99(f901(x96434,a891)),x96433),x96432)))
% 201.34/201.11 [9910]~P66(x99101)+~P107(f315(f54(x99102),x99104))+~P107(f315(f54(x99102),x99105))+E(f315(f315(f279(x99101),f315(f315(f74(x99101),f315(f315(f11(x99102,x99101),x99103),x99104)),f315(f315(f11(x99102,x99101),x99103),x99105))),f315(f315(f11(x99102,x99101),x99103),f315(f315(f90(f901(x99102,a891)),x99104),x99105))),f315(f315(f11(x99102,x99101),x99103),f315(f315(f99(f901(x99102,a891)),x99104),x99105)))+P107(f315(f315(f317(x99102),f870(x99103,x99105,x99104,x99102,x99101)),f315(f315(f90(f901(x99102,a891)),x99104),x99105)))
% 201.34/201.11 [9222]E(f315(f315(f123(x92221),x92222),x92223),f315(f315(f123(x92221),x92224),x92225))+~E(f315(f315(f164(x92221),f315(f178(f894(x92221)),x92224)),x92222),x92224)+~E(f315(f315(f164(x92221),f315(f178(f894(x92221)),x92222)),x92224),x92222)+~E(x92225,f315(f315(f123(x92221),f315(f315(f127(x92221),f315(f178(f894(x92221)),x92224)),x92222)),x92223))+~E(f315(f315(f123(x92221),f315(f315(f127(x92221),f315(f178(f894(x92221)),x92222)),x92224)),x92225),x92223)
% 201.34/201.11 [9641]~P110(x96412)+E(f315(f315(f137(x96411,x96412,x96413),x96414),f159(x96411,x96414,x96415)),x96415)+~P13(x96412,f315(f315(f143(x96411,x96412),x96413),x96415))+~P107(f315(f315(f317(x96411),x96414),f315(f161(x96411),x96415)))+~E(f315(f130(x96411),f315(f125(x96411,f315(f315(f10(x96412,a891,x96411),f315(a312,f315(x96413,x96414))),x96413)),x96415)),x96414)
% 201.34/201.11 [9974]~P70(x99741)+~P107(f315(f59(x99741,x99741,f74(x99741),x99742,x99743),x99745))+~P107(f315(f315(f317(x99741),x99744),x99743))+P107(f315(f315(f317(x99741),x99742),x99743))+P107(f315(f59(x99741,x99741,f74(x99741),x99744,f315(f315(f297(x99741),x99742),f315(f315(f3(f901(x99741,a891)),x99743),f315(f315(f297(x99741),x99744),f177(f901(x99741,a891)))))),x99745))
% 201.34/201.11 [7365]E(x73651,x73652)+~P26(x73654,x73655,x73653,x73656)+~E(f315(x73653,x73651),f315(x73653,x73652))+~P107(f315(f315(f317(x73654),x73652),x73656))+~P107(f315(f315(f317(x73654),x73651),x73656))
% 201.34/201.11 [6606]~P129(x66064)+E(x66061,x66062)+~E(x66065,x66066)+E(x66063,f2(x66064))+~E(f315(f315(f73(x66064),x66065),f315(f315(f74(x66064),x66063),x66061)),f315(f315(f73(x66064),x66066),f315(f315(f74(x66064),x66063),x66062)))
% 201.34/201.11 [7651]~P110(x76511)+~P5(x76511)+~P107(f315(f315(f224(x76511),x76512),f315(x76515,x76516)))+~P107(f315(f315(f317(x76513),x76516),x76514))+P107(f315(f315(f224(x76511),x76512),f315(f315(f33(x76513,x76511),x76514),x76515)))
% 201.34/201.11 [9970]~P26(x99702,x99701,x99703,x99704)+~P26(x99701,x99702,x99706,x99705)+P27(x99701,x99702,f804(x99703,x99704,x99705,x99706,x99702,x99701),x99705,x99704)+~P107(f315(f315(f223(f901(x99702,a891)),f315(f298(x99701,x99702,x99706),x99705)),x99704))+~P107(f315(f315(f223(f901(x99701,a891)),f315(f298(x99702,x99701,x99703),x99704)),x99705))
% 201.34/201.11 [8331]~P110(x83311)+~P5(x83311)+~P107(f315(f315(f224(x83311),f315(x83314,x83316)),x83315))+~P107(f315(f315(f317(x83312),x83316),x83313))+P107(f315(f315(f224(x83311),f315(f315(f32(x83312,x83311),x83313),x83314)),x83315))
% 201.34/201.11 [8584]~P19(x85842,x85845,x85846,x85841)+~P107(f315(f54(x85842),x85844))+~P107(f315(f54(x85842),x85843))+~E(f315(f315(f90(f901(x85842,a891)),x85843),x85844),f177(f901(x85842,a891)))+E(f315(x85841,f315(f315(f99(f901(x85842,a891)),x85843),x85844)),f315(f66(x85845,x85845,x85845,f315(x85841,x85843)),f315(x85841,x85844)))
% 201.34/201.11 [10180]~P72(x101801)+~E(f791(x101804,x101805,x101803,x101806,x101802,x101801),f792(x101804,x101805,x101803,x101806,x101802,x101801))+~P107(f315(f54(x101802),x101806))+E(f315(f315(f315(f58(x101801,x101802,f74(x101801)),f315(f315(f10(f901(x101803,a891),x101801,x101802),f315(f315(f58(x101801,x101803,f74(x101801)),x101804),f71(x101801))),x101805)),f71(x101801)),x101806),f315(f315(f315(f58(x101801,x101803,f74(x101801)),x101804),f71(x101801)),f315(f315(f33(x101802,f901(x101803,a891)),x101806),x101805)))+P107(f315(f315(f317(x101802),f790(x101804,x101805,x101803,x101806,x101802,x101801)),x101806))
% 201.34/201.11 [10210]~P72(x102101)+~E(f791(x102104,x102105,x102103,x102106,x102102,x102101),f792(x102104,x102105,x102103,x102106,x102102,x102101))+~P107(f315(f54(x102102),x102106))+E(f315(f315(f315(f58(x102101,x102102,f74(x102101)),f315(f315(f10(f901(x102103,a891),x102101,x102102),f315(f315(f58(x102101,x102103,f74(x102101)),x102104),f71(x102101))),x102105)),f71(x102101)),x102106),f315(f315(f315(f58(x102101,x102103,f74(x102101)),x102104),f71(x102101)),f315(f315(f33(x102102,f901(x102103,a891)),x102106),x102105)))+~P107(f315(f54(x102103),f315(x102105,f790(x102104,x102105,x102103,x102106,x102102,x102101))))
% 201.34/201.11 [10213]~P72(x102131)+~P107(f315(f54(x102132),x102136))+E(f315(f315(f315(f58(x102131,x102132,f74(x102131)),f315(f315(f10(f901(x102133,a891),x102131,x102132),f315(f315(f58(x102131,x102133,f74(x102131)),x102134),f71(x102131))),x102135)),f71(x102131)),x102136),f315(f315(f315(f58(x102131,x102133,f74(x102131)),x102134),f71(x102131)),f315(f315(f33(x102132,f901(x102133,a891)),x102136),x102135)))+P107(f315(f315(f317(x102132),f790(x102134,x102135,x102133,x102136,x102132,x102131)),x102136))+P107(f315(f315(f317(x102132),f792(x102134,x102135,x102133,x102136,x102132,x102131)),x102136))
% 201.34/201.11 [10214]~P72(x102141)+~P107(f315(f54(x102142),x102146))+E(f315(f315(f315(f58(x102141,x102142,f74(x102141)),f315(f315(f10(f901(x102143,a891),x102141,x102142),f315(f315(f58(x102141,x102143,f74(x102141)),x102144),f71(x102141))),x102145)),f71(x102141)),x102146),f315(f315(f315(f58(x102141,x102143,f74(x102141)),x102144),f71(x102141)),f315(f315(f33(x102142,f901(x102143,a891)),x102146),x102145)))+P107(f315(f315(f317(x102142),f790(x102144,x102145,x102143,x102146,x102142,x102141)),x102146))+P107(f315(f315(f317(x102142),f791(x102144,x102145,x102143,x102146,x102142,x102141)),x102146))
% 201.34/201.11 [10233]~P72(x102331)+~P107(f315(f54(x102332),x102336))+E(f315(f315(f315(f58(x102331,x102332,f74(x102331)),f315(f315(f10(f901(x102333,a891),x102331,x102332),f315(f315(f58(x102331,x102333,f74(x102331)),x102334),f71(x102331))),x102335)),f71(x102331)),x102336),f315(f315(f315(f58(x102331,x102333,f74(x102331)),x102334),f71(x102331)),f315(f315(f33(x102332,f901(x102333,a891)),x102336),x102335)))+P107(f315(f315(f317(x102332),f792(x102334,x102335,x102333,x102336,x102332,x102331)),x102336))+~P107(f315(f54(x102333),f315(x102335,f790(x102334,x102335,x102333,x102336,x102332,x102331))))
% 201.34/201.11 [10234]~P72(x102341)+~P107(f315(f54(x102342),x102346))+E(f315(f315(f315(f58(x102341,x102342,f74(x102341)),f315(f315(f10(f901(x102343,a891),x102341,x102342),f315(f315(f58(x102341,x102343,f74(x102341)),x102344),f71(x102341))),x102345)),f71(x102341)),x102346),f315(f315(f315(f58(x102341,x102343,f74(x102341)),x102344),f71(x102341)),f315(f315(f33(x102342,f901(x102343,a891)),x102346),x102345)))+P107(f315(f315(f317(x102342),f791(x102344,x102345,x102343,x102346,x102342,x102341)),x102346))+~P107(f315(f54(x102343),f315(x102345,f790(x102344,x102345,x102343,x102346,x102342,x102341))))
% 201.34/201.11 [10245]~P72(x102451)+~E(f315(f315(f90(f901(x102453,a891)),f315(x102455,f792(x102454,x102455,x102453,x102456,x102452,x102451))),f315(x102455,f791(x102454,x102455,x102453,x102456,x102452,x102451))),f177(f901(x102453,a891)))+~P107(f315(f54(x102452),x102456))+E(f315(f315(f315(f58(x102451,x102452,f74(x102451)),f315(f315(f10(f901(x102453,a891),x102451,x102452),f315(f315(f58(x102451,x102453,f74(x102451)),x102454),f71(x102451))),x102455)),f71(x102451)),x102456),f315(f315(f315(f58(x102451,x102453,f74(x102451)),x102454),f71(x102451)),f315(f315(f33(x102452,f901(x102453,a891)),x102456),x102455)))+P107(f315(f315(f317(x102452),f790(x102454,x102455,x102453,x102456,x102452,x102451)),x102456))
% 201.34/201.11 [10256]~P72(x102561)+~E(f315(f315(f90(f901(x102563,a891)),f315(x102565,f792(x102564,x102565,x102563,x102566,x102562,x102561))),f315(x102565,f791(x102564,x102565,x102563,x102566,x102562,x102561))),f177(f901(x102563,a891)))+~P107(f315(f54(x102562),x102566))+E(f315(f315(f315(f58(x102561,x102562,f74(x102561)),f315(f315(f10(f901(x102563,a891),x102561,x102562),f315(f315(f58(x102561,x102563,f74(x102561)),x102564),f71(x102561))),x102565)),f71(x102561)),x102566),f315(f315(f315(f58(x102561,x102563,f74(x102561)),x102564),f71(x102561)),f315(f315(f33(x102562,f901(x102563,a891)),x102566),x102565)))+~P107(f315(f54(x102563),f315(x102565,f790(x102564,x102565,x102563,x102566,x102562,x102561))))
% 201.34/201.11 [9312]~P119(x93121)+~P123(x93121)+~P107(f315(f315(f275(x93121),x93122),x93125))+~P107(f315(f315(f275(x93121),x93122),f315(f315(f73(x93121),x93123),x93126)))+P107(f315(f315(f275(x93121),x93122),f315(f315(f73(x93121),f315(f315(f3(x93121),x93123),f315(f315(f74(x93121),x93124),x93125))),x93126)))
% 201.34/201.11 [9506]~P119(x95061)+~P123(x95061)+~P107(f315(f315(f275(x95061),x95062),x95065))+P107(f315(f315(f275(x95061),x95062),f315(f315(f73(x95061),x95063),x95064)))+~P107(f315(f315(f275(x95061),x95062),f315(f315(f73(x95061),f315(f315(f3(x95061),x95063),f315(f315(f74(x95061),x95066),x95065))),x95064)))
% 201.34/201.11 [8919]E(x89191,x89192)+~P58(x89194,x89195,x89196,x89193,x89197)+~E(f315(x89193,x89191),f315(x89193,x89192))+~P107(f315(f315(f317(x89195),x89192),x89197))+~P107(f315(f315(f317(x89195),x89191),x89197))
% 201.34/201.11 [10221]~P107(f315(x102212,x102214))+~E(x102215,f315(f125(x102211,x102212),x102217))+E(f315(f125(x102211,x102212),x102213),f315(f315(f140(x102211),x102214),x102215))+~E(x102213,f315(f315(f123(x102211),x102216),f315(f315(f140(x102211),x102214),x102217)))+P107(f315(x102212,f725(x102215,x102214,x102213,x102212,x102211,x102216,x102217)))
% 201.34/201.11 [10222]~P107(f315(x102224,x102222))+~E(x102223,f315(f125(x102221,x102224),x102227))+E(f315(f315(f140(x102221),x102222),x102223),f315(f125(x102221,x102224),x102225))+~E(x102225,f315(f315(f123(x102221),x102226),f315(f315(f140(x102221),x102222),x102227)))+P107(f315(x102224,f726(x102225,x102224,x102223,x102222,x102221,x102226,x102227)))
% 201.34/201.11 [10272]~P107(f315(x102722,x102724))+~E(x102725,f315(f125(x102721,x102722),x102727))+E(f315(f125(x102721,x102722),x102723),f315(f315(f140(x102721),x102724),x102725))+~E(x102723,f315(f315(f123(x102721),x102726),f315(f315(f140(x102721),x102724),x102727)))+P107(f315(f315(f317(x102721),f725(x102725,x102724,x102723,x102722,x102721,x102726,x102727)),f315(f161(x102721),x102726)))
% 201.34/201.11 [10273]~P107(f315(x102734,x102732))+~E(x102733,f315(f125(x102731,x102734),x102737))+E(f315(f315(f140(x102731),x102732),x102733),f315(f125(x102731,x102734),x102735))+~E(x102735,f315(f315(f123(x102731),x102736),f315(f315(f140(x102731),x102732),x102737)))+P107(f315(f315(f317(x102731),f726(x102735,x102734,x102733,x102732,x102731,x102736,x102737)),f315(f161(x102731),x102736)))
% 201.34/201.11 [10277]~P8(x102771,x102777,x102776)+~P11(x102771,f901(x102775,a891),x102776,x102774)+P107(f315(f315(f317(x102771),f494(x102772,x102773,x102774,x102775,x102776,x102777,x102771)),x102777))+~P107(f315(f315(f317(f901(x102771,a891)),x102773),f315(f315(f53(x102771),x102777),x102776)))+P107(f315(f315(f317(f901(x102775,a891)),f315(f315(f33(x102771,f901(x102775,a891)),x102773),x102774)),x102772))
% 201.34/201.11 [10332]~P8(x103322,x103326,x103327)+~P11(x103322,f901(x103321,a891),x103327,x103324)+~P107(f315(f315(f317(f901(x103322,a891)),x103323),f315(f315(f53(x103322),x103326),x103327)))+~P107(f315(f315(f317(f901(x103321,a891)),f315(x103324,f494(x103325,x103323,x103324,x103321,x103327,x103326,x103322))),x103325))+P107(f315(f315(f317(f901(x103321,a891)),f315(f315(f33(x103322,f901(x103321,a891)),x103323),x103324)),x103325))
% 201.34/201.11 [8503]~P72(x85032)+~P26(x85031,x85035,x85038,x85034)+~E(x85033,f315(f66(x85035,x85032,x85031,x85036),x85038))+~E(x85037,f315(f298(x85031,x85035,x85038),x85034))+E(f315(f315(f11(x85031,x85032),x85033),x85034),f315(f315(f11(x85035,x85032),x85036),x85037))
% 201.34/201.11 [10336]~P72(x103362)+~P26(x103365,x103361,x103368,x103367)+~E(f315(x103366,f572(x103363,x103366,x103364,x103367,x103368,x103361,x103365,x103362)),f315(f315(f66(x103361,x103362,x103365,x103363),x103368),f572(x103363,x103366,x103364,x103367,x103368,x103361,x103365,x103362)))+~E(x103364,f315(f298(x103365,x103361,x103368),x103367))+E(f315(f315(f11(x103361,x103362),x103363),x103364),f315(f315(f11(x103365,x103362),x103366),x103367))
% 201.34/201.11 [10339]~P76(x103392)+~P26(x103391,x103395,x103398,x103394)+~E(x103397,f315(f298(x103391,x103395,x103398),x103394))+E(f315(f315(f8(x103391,x103392),x103393),x103394),f315(f315(f8(x103395,x103392),x103396),x103397))+P107(f315(f315(f317(x103391),f591(x103396,x103393,x103397,x103394,x103398,x103395,x103391,x103392)),x103394))
% 201.34/201.11 [10340]~P72(x103402)+~P26(x103401,x103405,x103408,x103404)+~E(x103407,f315(f298(x103401,x103405,x103408),x103404))+E(f315(f315(f11(x103401,x103402),x103403),x103404),f315(f315(f11(x103405,x103402),x103406),x103407))+P107(f315(f315(f317(x103401),f572(x103406,x103403,x103407,x103404,x103408,x103405,x103401,x103402)),x103404))
% 201.34/201.11 [10345]~P76(x103452)+~P26(x103455,x103451,x103458,x103457)+~E(x103454,f315(f298(x103455,x103451,x103458),x103457))+~E(f315(x103456,f591(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452)),f315(x103453,f315(x103458,f591(x103453,x103456,x103454,x103457,x103458,x103451,x103455,x103452))))+E(f315(f315(f8(x103451,x103452),x103453),x103454),f315(f315(f8(x103455,x103452),x103456),x103457))
% 201.34/201.11 [9807]~P24(x98076,x98072,x98075,x98077,x98078,x98071)+~P107(f315(f54(x98072),x98074))+~P107(f315(f54(x98072),x98073))+~E(f315(f315(f90(f901(x98072,a891)),x98073),x98074),f177(f901(x98072,a891)))+E(f315(x98071,f315(f315(f99(f901(x98072,a891)),x98073),x98074)),f315(f315(x98075,f315(x98071,x98073)),f315(x98071,x98074)))
% 201.34/201.11 [10207]~P24(x102078,x102072,x102075,x102077,x102076,x102071)+~E(f315(x102076,f710(x102074,x102073,x102071,x102076,x102077,x102075,x102072)),x102077)+~P107(f315(f54(x102072),x102073))+~P107(f315(f54(x102072),x102074))+E(f315(x102071,f315(f315(f99(f901(x102072,a891)),x102073),x102074)),f315(f315(x102075,f315(x102071,x102073)),f315(x102071,x102074)))
% 201.34/201.11 [10284]~P24(x102848,x102842,x102845,x102847,x102846,x102841)+~P107(f315(f54(x102842),x102843))+~P107(f315(f54(x102842),x102844))+E(f315(x102841,f315(f315(f99(f901(x102842,a891)),x102843),x102844)),f315(f315(x102845,f315(x102841,x102843)),f315(x102841,x102844)))+P107(f315(f315(f317(x102842),f710(x102844,x102843,x102841,x102846,x102847,x102845,x102842)),f315(f315(f90(f901(x102842,a891)),x102843),x102844)))
% 201.34/201.11 [9961]~P8(x99614,x99618,x99615)+~P8(x99611,x99619,x99613)+~P12(x99611,x99614,f901(x99612,a891),x99613,x99615,x99617)+P11(x99611,f901(x99612,a891),x99613,f315(f315(f10(f901(x99614,f901(x99612,a891)),f901(x99612,a891),x99611),f315(f33(x99614,f901(x99612,a891)),f315(f273(x99614,x99614,x99615),f315(f315(f297(x99614),x99616),f177(f901(x99614,a891)))))),x99617))+~P107(f315(f315(f317(x99614),x99616),x99618))
% 201.34/201.11 [5485]~P110(x54853)+~P13(x54853,x54851)+E(x54851,f703(x54852,x54853))+~E(f315(f161(x54853),x54851),x54852)+~P107(f315(f54(x54853),x54852))+~P107(f315(f126(x54853),x54851))
% 201.34/201.11 [7356]P15(x73561,x73562)+~E(f315(x73562,f782(x73562)),f315(x73562,f783(x73562)))+~P107(f315(f315(x73562,f782(x73562)),f782(x73562)))+~P107(f315(f315(x73562,f782(x73562)),f783(x73562)))+~P107(f315(f315(x73562,f783(x73562)),f783(x73562)))+~P107(f315(f315(x73562,x73563),x73563))
% 201.34/201.11 [5110]~P136(x51102)+~P137(x51102)+~P146(x51102)+~P116(x51102)+E(x51101,f2(x51102))+~E(f315(f315(f232(x51102),x51101),x51103),f2(x51102))
% 201.34/201.11 [5111]~P136(x51112)+~P137(x51112)+~P146(x51112)+~P116(x51112)+~E(x51111,f2(a893))+~E(f315(f315(f232(x51112),x51113),x51111),f2(x51112))
% 201.34/201.11 [6588]~P91(x65881)+~E(x65883,f2(x65881))+~E(x65882,f2(x65881))+E(f315(f315(f73(x65881),x65882),x65883),f2(x65881))+~P107(f315(f315(f223(x65881),f2(x65881)),x65883))+~P107(f315(f315(f223(x65881),f2(x65881)),x65882))
% 201.34/201.11 [8987]~E(f315(f239(a893,a893),x89873),f2(a893))+~E(x89871,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x89873)),x89872)),f315(f244(a893,a893),x89873)))+P107(f315(f41(x89871,x89872),x89873))+~P107(f315(f315(f223(a893),f315(f244(a893,a893),x89873)),f2(a893)))+P107(f315(f315(f224(a893),f2(a893)),x89872))+~P107(f315(f315(f224(a893),x89872),f315(f244(a893,a893),x89873)))
% 201.34/201.11 [8995]E(x89951,f2(a893))+~E(x89952,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x89953)),x89951)),f315(f244(a893,a893),x89953)))+P107(f315(f41(x89952,x89951),x89953))+~P107(f315(f315(f224(a893),f2(a893)),x89951))+~P107(f315(f315(f223(a893),f2(a893)),f315(f244(a893,a893),x89953)))+~P107(f315(f315(f224(a893),f315(f244(a893,a893),x89953)),x89951))
% 201.34/201.11 [9013]~E(f315(f239(a893,a893),x90133),f2(a893))+~E(x90131,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x90133)),x90132)),f315(f244(a893,a893),x90133)))+P107(f315(f41(x90131,x90132),x90133))+~P107(f315(f315(f224(a893),f2(a893)),x90132))+~P107(f315(f315(f223(a893),f2(a893)),f315(f244(a893,a893),x90133)))+~P107(f315(f315(f224(a893),f315(f244(a893,a893),x90133)),x90132))
% 201.34/201.11 [6978]~P80(x69782)+E(x69781,f177(f901(x69782,a891)))+E(x69783,f177(f901(x69782,a891)))+~P107(f315(f54(x69782),x69781))+~P107(f315(f54(x69782),x69783))+E(f12(x69782,f315(f315(f99(f901(x69782,a891)),x69783),x69781)),f315(f315(f99(x69782),f12(x69782,x69783)),f12(x69782,x69781)))
% 201.34/201.11 [6979]~P80(x69792)+E(x69791,f177(f901(x69792,a891)))+E(x69793,f177(f901(x69792,a891)))+~P107(f315(f54(x69792),x69791))+~P107(f315(f54(x69792),x69793))+E(f13(x69792,f315(f315(f99(f901(x69792,a891)),x69793),x69791)),f315(f315(f90(x69792),f13(x69792,x69793)),f13(x69792,x69791)))
% 201.34/201.11 [6980]~P110(x69802)+E(x69801,f177(f901(x69802,a891)))+E(x69803,f177(f901(x69802,a891)))+~P107(f315(f54(x69802),x69801))+~P107(f315(f54(x69802),x69803))+E(f16(x69802,f315(f315(f99(f901(x69802,a891)),x69803),x69801)),f315(f315(f221(x69802),f16(x69802,x69803)),f16(x69802,x69801)))
% 201.34/201.11 [6981]~P110(x69812)+E(x69811,f177(f901(x69812,a891)))+E(x69813,f177(f901(x69812,a891)))+~P107(f315(f54(x69812),x69811))+~P107(f315(f54(x69812),x69813))+E(f17(x69812,f315(f315(f99(f901(x69812,a891)),x69813),x69811)),f315(f315(f222(x69812),f17(x69812,x69813)),f17(x69812,x69811)))
% 201.34/201.11 [7625]~P99(x76252)+E(x76251,f177(f901(x76252,a891)))+E(x76253,f177(f901(x76252,a891)))+~P107(f315(f54(x76252),x76251))+~P107(f315(f54(x76252),x76253))+E(f315(f315(f74(x76252),f315(f56(x76252,f74(x76252)),x76253)),f315(f56(x76252,f74(x76252)),x76251)),f315(f56(x76252,f74(x76252)),f315(f315(f99(f901(x76252,a891)),x76253),x76251)))
% 201.34/201.11 [7787]~P110(x77872)+E(x77871,f177(f901(x77872,a891)))+E(x77873,f177(f901(x77872,a891)))+~P107(f315(f54(x77872),x77871))+~P107(f315(f54(x77872),x77873))+E(f315(f315(f221(x77872),f14(x77872,f221(x77872),x77873)),f14(x77872,f221(x77872),x77871)),f14(x77872,f221(x77872),f315(f315(f99(f901(x77872,a891)),x77873),x77871)))
% 201.34/201.11 [7788]~P110(x77882)+E(x77881,f177(f901(x77882,a891)))+E(x77883,f177(f901(x77882,a891)))+~P107(f315(f54(x77882),x77881))+~P107(f315(f54(x77882),x77883))+E(f315(f315(f222(x77882),f15(x77882,f222(x77882),x77883)),f15(x77882,f222(x77882),x77881)),f15(x77882,f222(x77882),f315(f315(f99(f901(x77882,a891)),x77883),x77881)))
% 201.34/201.11 [8820]~P107(f315(x88201,x88203))+P107(f315(x88201,f438(x88201,x88202)))+P107(f315(x88201,f427(x88201,x88202)))+~P107(f315(f315(f224(a1),f2(a1)),x88202))+~P107(f315(f315(f317(a1),x88203),f291(a1,f71(a1),x88202)))+P107(f315(x88201,f315(f315(f3(a1),f427(x88201,x88202)),f315(f315(f74(a1),f437(x88201,x88202)),x88202))))
% 201.34/201.11 [9121]~P107(f315(x91211,x91213))+~P107(f315(x91211,f427(x91211,x91212)))+P107(f315(x91211,f438(x91211,x91212)))+~P107(f315(f315(f224(a1),f2(a1)),x91212))+~P107(f315(f315(f317(a1),x91213),f291(a1,f71(a1),x91212)))+~P107(f315(x91211,f315(f315(f3(a1),f427(x91211,x91212)),f315(f315(f74(a1),f437(x91211,x91212)),x91212))))
% 201.34/201.11 [10372]~P101(x103722)+E(x103721,f177(f901(x103722,a891)))+E(x103723,f177(f901(x103722,a891)))+~P107(f315(f54(x103722),x103721))+~P107(f315(f54(x103722),x103723))+E(f13(x103722,f315(f250(x103722),f315(f315(f10(f901(x103722,a891),a891,x103722),f80(x103722)),f315(f315(f10(f901(x103722,f901(x103722,a891)),f901(x103722,a891),x103722),f315(f10(f901(x103722,a891),a891,x103722),f80(x103722))),f315(f315(f9(x103722,f901(x103722,f901(x103722,a891)),f901(x103722,f901(x103722,a891))),f315(f315(f10(f901(x103722,f901(f901(x103722,a891),f901(x103722,a891))),f901(f901(x103722,f901(x103722,a891)),f901(x103722,f901(x103722,a891))),x103722),f20(x103722,f901(x103722,a891),f901(x103722,a891))),f315(f315(f10(f901(x103722,f901(x103722,f901(a891,a891))),f901(x103722,f901(f901(x103722,a891),f901(x103722,a891))),x103722),f315(f10(f901(x103722,f901(a891,a891)),f901(f901(x103722,a891),f901(x103722,a891)),x103722),f20(x103722,a891,a891))),f315(f315(f10(f901(x103722,f901(x103722,a891)),f901(x103722,f901(x103722,f901(a891,a891))),x103722),f315(f10(f901(x103722,a891),f901(x103722,f901(a891,a891)),x103722),f315(f10(a891,f901(a891,a891),x103722),a313))),f315(f315(f9(x103722,f901(x103722,f901(x103722,x103722)),f901(x103722,f901(x103722,a891))),f315(f315(f10(f901(f901(x103722,x103722),f901(x103722,a891)),f901(f901(x103722,f901(x103722,x103722)),f901(x103722,f901(x103722,a891))),x103722),f10(f901(x103722,x103722),f901(x103722,a891),x103722)),f315(f315(f10(f901(x103722,a891),f901(f901(x103722,x103722),f901(x103722,a891)),x103722),f10(x103722,a891,x103722)),a312))),f99(x103722)))))),f315(f315(f9(x103722,f901(x103722,a891),f901(x103722,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x103722,a891),f901(x103722,a891)),x103722),f10(a891,a891,x103722)),f315(f315(f10(a891,f901(a891,a891),x103722),a313),f315(f315(f9(x103722,f901(x103722,a891),a891),f317(x103722)),x103723)))),f315(f315(f9(x103722,f901(x103722,a891),a891),f317(x103722)),x103721))))))),f315(f315(f99(x103722),f13(x103722,x103723)),f13(x103722,x103721)))
% 201.34/201.11 [10373]~P101(x103732)+E(x103731,f177(f901(x103732,a891)))+E(x103733,f177(f901(x103732,a891)))+~P107(f315(f54(x103732),x103731))+~P107(f315(f54(x103732),x103733))+E(f12(x103732,f315(f250(x103732),f315(f315(f10(f901(x103732,a891),a891,x103732),f80(x103732)),f315(f315(f10(f901(x103732,f901(x103732,a891)),f901(x103732,a891),x103732),f315(f10(f901(x103732,a891),a891,x103732),f80(x103732))),f315(f315(f9(x103732,f901(x103732,f901(x103732,a891)),f901(x103732,f901(x103732,a891))),f315(f315(f10(f901(x103732,f901(f901(x103732,a891),f901(x103732,a891))),f901(f901(x103732,f901(x103732,a891)),f901(x103732,f901(x103732,a891))),x103732),f20(x103732,f901(x103732,a891),f901(x103732,a891))),f315(f315(f10(f901(x103732,f901(x103732,f901(a891,a891))),f901(x103732,f901(f901(x103732,a891),f901(x103732,a891))),x103732),f315(f10(f901(x103732,f901(a891,a891)),f901(f901(x103732,a891),f901(x103732,a891)),x103732),f20(x103732,a891,a891))),f315(f315(f10(f901(x103732,f901(x103732,a891)),f901(x103732,f901(x103732,f901(a891,a891))),x103732),f315(f10(f901(x103732,a891),f901(x103732,f901(a891,a891)),x103732),f315(f10(a891,f901(a891,a891),x103732),a313))),f315(f315(f9(x103732,f901(x103732,f901(x103732,x103732)),f901(x103732,f901(x103732,a891))),f315(f315(f10(f901(f901(x103732,x103732),f901(x103732,a891)),f901(f901(x103732,f901(x103732,x103732)),f901(x103732,f901(x103732,a891))),x103732),f10(f901(x103732,x103732),f901(x103732,a891),x103732)),f315(f315(f10(f901(x103732,a891),f901(f901(x103732,x103732),f901(x103732,a891)),x103732),f10(x103732,a891,x103732)),a312))),f90(x103732)))))),f315(f315(f9(x103732,f901(x103732,a891),f901(x103732,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x103732,a891),f901(x103732,a891)),x103732),f10(a891,a891,x103732)),f315(f315(f10(a891,f901(a891,a891),x103732),a313),f315(f315(f9(x103732,f901(x103732,a891),a891),f317(x103732)),x103733)))),f315(f315(f9(x103732,f901(x103732,a891),a891),f317(x103732)),x103731))))))),f315(f315(f90(x103732),f12(x103732,x103733)),f12(x103732,x103731)))
% 201.34/201.11 [10374]~P110(x103742)+E(x103741,f177(f901(x103742,a891)))+E(x103743,f177(f901(x103742,a891)))+~P107(f315(f54(x103742),x103741))+~P107(f315(f54(x103742),x103743))+E(f15(x103742,f222(x103742),f315(f250(x103742),f315(f315(f10(f901(x103742,a891),a891,x103742),f80(x103742)),f315(f315(f10(f901(x103742,f901(x103742,a891)),f901(x103742,a891),x103742),f315(f10(f901(x103742,a891),a891,x103742),f80(x103742))),f315(f315(f9(x103742,f901(x103742,f901(x103742,a891)),f901(x103742,f901(x103742,a891))),f315(f315(f10(f901(x103742,f901(f901(x103742,a891),f901(x103742,a891))),f901(f901(x103742,f901(x103742,a891)),f901(x103742,f901(x103742,a891))),x103742),f20(x103742,f901(x103742,a891),f901(x103742,a891))),f315(f315(f10(f901(x103742,f901(x103742,f901(a891,a891))),f901(x103742,f901(f901(x103742,a891),f901(x103742,a891))),x103742),f315(f10(f901(x103742,f901(a891,a891)),f901(f901(x103742,a891),f901(x103742,a891)),x103742),f20(x103742,a891,a891))),f315(f315(f10(f901(x103742,f901(x103742,a891)),f901(x103742,f901(x103742,f901(a891,a891))),x103742),f315(f10(f901(x103742,a891),f901(x103742,f901(a891,a891)),x103742),f315(f10(a891,f901(a891,a891),x103742),a313))),f315(f315(f9(x103742,f901(x103742,f901(x103742,x103742)),f901(x103742,f901(x103742,a891))),f315(f315(f10(f901(f901(x103742,x103742),f901(x103742,a891)),f901(f901(x103742,f901(x103742,x103742)),f901(x103742,f901(x103742,a891))),x103742),f10(f901(x103742,x103742),f901(x103742,a891),x103742)),f315(f315(f10(f901(x103742,a891),f901(f901(x103742,x103742),f901(x103742,a891)),x103742),f10(x103742,a891,x103742)),a312))),f221(x103742)))))),f315(f315(f9(x103742,f901(x103742,a891),f901(x103742,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x103742,a891),f901(x103742,a891)),x103742),f10(a891,a891,x103742)),f315(f315(f10(a891,f901(a891,a891),x103742),a313),f315(f315(f9(x103742,f901(x103742,a891),a891),f317(x103742)),x103743)))),f315(f315(f9(x103742,f901(x103742,a891),a891),f317(x103742)),x103741))))))),f315(f315(f221(x103742),f15(x103742,f222(x103742),x103743)),f15(x103742,f222(x103742),x103741)))
% 201.34/201.11 [10375]~P110(x103752)+E(x103751,f177(f901(x103752,a891)))+E(x103753,f177(f901(x103752,a891)))+~P107(f315(f54(x103752),x103751))+~P107(f315(f54(x103752),x103753))+E(f14(x103752,f221(x103752),f315(f250(x103752),f315(f315(f10(f901(x103752,a891),a891,x103752),f80(x103752)),f315(f315(f10(f901(x103752,f901(x103752,a891)),f901(x103752,a891),x103752),f315(f10(f901(x103752,a891),a891,x103752),f80(x103752))),f315(f315(f9(x103752,f901(x103752,f901(x103752,a891)),f901(x103752,f901(x103752,a891))),f315(f315(f10(f901(x103752,f901(f901(x103752,a891),f901(x103752,a891))),f901(f901(x103752,f901(x103752,a891)),f901(x103752,f901(x103752,a891))),x103752),f20(x103752,f901(x103752,a891),f901(x103752,a891))),f315(f315(f10(f901(x103752,f901(x103752,f901(a891,a891))),f901(x103752,f901(f901(x103752,a891),f901(x103752,a891))),x103752),f315(f10(f901(x103752,f901(a891,a891)),f901(f901(x103752,a891),f901(x103752,a891)),x103752),f20(x103752,a891,a891))),f315(f315(f10(f901(x103752,f901(x103752,a891)),f901(x103752,f901(x103752,f901(a891,a891))),x103752),f315(f10(f901(x103752,a891),f901(x103752,f901(a891,a891)),x103752),f315(f10(a891,f901(a891,a891),x103752),a313))),f315(f315(f9(x103752,f901(x103752,f901(x103752,x103752)),f901(x103752,f901(x103752,a891))),f315(f315(f10(f901(f901(x103752,x103752),f901(x103752,a891)),f901(f901(x103752,f901(x103752,x103752)),f901(x103752,f901(x103752,a891))),x103752),f10(f901(x103752,x103752),f901(x103752,a891),x103752)),f315(f315(f10(f901(x103752,a891),f901(f901(x103752,x103752),f901(x103752,a891)),x103752),f10(x103752,a891,x103752)),a312))),f222(x103752)))))),f315(f315(f9(x103752,f901(x103752,a891),f901(x103752,a891)),f315(f315(f10(f901(a891,a891),f901(f901(x103752,a891),f901(x103752,a891)),x103752),f10(a891,a891,x103752)),f315(f315(f10(a891,f901(a891,a891),x103752),a313),f315(f315(f9(x103752,f901(x103752,a891),a891),f317(x103752)),x103753)))),f315(f315(f9(x103752,f901(x103752,a891),a891),f317(x103752)),x103751))))))),f315(f315(f222(x103752),f14(x103752,f221(x103752),x103753)),f14(x103752,f221(x103752),x103751)))
% 201.34/201.11 [7312]~P112(x73123)+E(x73121,x73122)+~E(f315(f315(f232(x73123),x73121),x73124),f315(f315(f232(x73123),x73122),x73124))+~P107(f315(f315(f223(x73123),f2(x73123)),x73122))+~P107(f315(f315(f223(x73123),f2(x73123)),x73121))+~P107(f315(f315(f224(a893),f2(a893)),x73124))
% 201.34/201.11 [7586]~P110(x75862)+E(x75861,f177(f901(x75862,a891)))+~P107(f315(f54(x75862),x75861))+~P107(f315(f315(f317(x75862),x75864),x75861))+P107(f315(f315(f223(x75862),x75863),x75864))+~P107(f315(f315(f223(x75862),x75863),f315(f56(x75862,f221(x75862)),x75861)))
% 201.34/201.11 [7587]~P103(x75872)+E(x75871,f177(f901(x75872,a891)))+~P107(f315(f54(x75872),x75871))+~P107(f315(f315(f317(x75872),x75874),x75871))+P107(f315(f315(f223(x75872),x75873),x75874))+~P107(f315(f315(f223(x75872),x75873),f315(f56(x75872,f90(x75872)),x75871)))
% 201.34/201.11 [7588]~P110(x75882)+E(x75881,f177(f901(x75882,a891)))+~P107(f315(f54(x75882),x75881))+~P107(f315(f315(f317(x75882),x75884),x75881))+P107(f315(f315(f224(x75882),x75883),x75884))+~P107(f315(f315(f224(x75882),x75883),f315(f56(x75882,f221(x75882)),x75881)))
% 201.34/201.11 [7492]E(x74921,f2(a1))+E(f315(f315(f29(a1),x74922),x74921),x74923)+~P107(f315(f315(f223(a1),x74924),f2(a1)))+~E(x74922,f315(f315(f73(a1),f315(f315(f74(a1),x74921),x74923)),x74924))+P107(f315(f315(f224(a1),f2(a1)),x74921))+~P107(f315(f315(f224(a1),x74921),x74924))
% 201.34/201.11 [7509]E(f38(a1,x75092,x75091),x75093)+E(x75091,f2(a1))+~P107(f315(f315(f223(a1),x75093),f2(a1)))+~E(x75092,f315(f315(f73(a1),f315(f315(f74(a1),x75091),x75094)),x75093))+P107(f315(f315(f224(a1),f2(a1)),x75091))+~P107(f315(f315(f224(a1),x75091),x75093))
% 201.34/201.11 [7624]E(x76241,f2(a1))+E(f315(f315(f29(a1),x76242),x76241),x76243)+~E(x76242,f315(f315(f73(a1),f315(f315(f74(a1),x76241),x76243)),x76244))+~P107(f315(f315(f223(a1),f2(a1)),x76244))+~P107(f315(f315(f224(a1),f2(a1)),x76241))+~P107(f315(f315(f224(a1),x76244),x76241))
% 201.34/201.11 [7647]E(f38(a1,x76472,x76471),x76473)+E(x76471,f2(a1))+~E(x76472,f315(f315(f73(a1),f315(f315(f74(a1),x76471),x76474)),x76473))+~P107(f315(f315(f223(a1),f2(a1)),x76473))+~P107(f315(f315(f224(a1),f2(a1)),x76471))+~P107(f315(f315(f224(a1),x76473),x76471))
% 201.34/201.11 [7791]~P110(x77912)+E(x77911,f177(f901(x77912,a891)))+~P107(f315(f54(x77912),x77911))+~P107(f315(f315(f317(x77912),x77914),x77911))+~P107(f315(f315(f223(x77912),x77914),x77913))+P107(f315(f315(f223(x77912),f315(f56(x77912,f221(x77912)),x77911)),x77913))
% 201.34/201.11 [7792]~P110(x77922)+E(x77921,f177(f901(x77922,a891)))+~P107(f315(f54(x77922),x77921))+~P107(f315(f315(f224(x77922),x77924),x77923))+~P107(f315(f315(f317(x77922),x77924),x77921))+P107(f315(f315(f224(x77922),f315(f56(x77922,f221(x77922)),x77921)),x77923))
% 201.34/201.11 [8355]~P107(f315(f315(f223(a1),x83554),f2(a1)))+~E(x83551,f315(f315(f73(a1),f315(f315(f74(a1),x83552),x83553)),x83554))+~P107(f315(f315(f223(a1),f2(a1)),x83554))+~P107(f315(f315(f224(a1),x83554),x83552))+~P107(f315(f315(f224(a1),x83552),x83554))+P107(f315(f42(x83551,x83552),f315(f315(f240(a1,a1),x83553),x83554)))
% 201.34/201.11 [8523]~P111(x85231)+P107(f315(f315(f224(f901(x85231,a891)),f291(x85231,x85232,x85233)),f291(x85231,x85234,x85235)))+~P107(f315(f315(f223(x85231),x85234),x85232))+~P107(f315(f315(f223(x85231),x85234),x85235))+~P107(f315(f315(f223(x85231),x85233),x85235))+~P107(f315(f315(f224(x85231),x85233),x85235))
% 201.34/201.11 [8524]~P111(x85241)+P107(f315(f315(f224(f901(x85241,a891)),f291(x85241,x85242,x85243)),f291(x85241,x85244,x85245)))+~P107(f315(f315(f223(x85241),x85243),x85245))+~P107(f315(f315(f223(x85241),x85244),x85245))+~P107(f315(f315(f223(x85241),x85244),x85242))+~P107(f315(f315(f224(x85241),x85244),x85242))
% 201.34/201.11 [9385]P60(x93852,x93853,x93854,x93851)+E(x93851,f177(f901(x93852,a891)))+~P107(f315(f54(x93852),x93854))+~P107(f315(f54(x93852),x93851))+~P107(f315(f315(x93853,f506(x93851,x93854,x93853,x93852)),x93855))+~P107(f315(f315(f317(x93852),x93855),x93851))
% 201.34/201.11 [9386]P60(x93862,x93863,x93864,x93861)+E(x93861,f177(f901(x93862,a891)))+~P107(f315(f54(x93862),x93864))+~P107(f315(f54(x93862),x93861))+~P107(f315(f315(x93863,f772(x93863,x93861,x93864,x93862)),x93865))+~P107(f315(f315(f317(x93862),x93865),x93861))
% 201.34/201.11 [9387]P60(x93872,x93873,x93874,x93871)+E(x93871,f177(f901(x93872,a891)))+~P107(f315(f54(x93872),x93874))+~P107(f315(f54(x93872),x93871))+~P107(f315(f315(x93873,f774(x93871,x93874,x93873,x93872)),x93875))+~P107(f315(f315(f317(x93872),x93875),x93871))
% 201.34/201.11 [9535]~E(x95353,x95355)+~P72(x95351)+~P76(x95351)+~P42(x95353)+E(f315(f315(f8(a1,x95351),x95352),x95353),f315(f315(f8(a1,x95351),x95354),x95355))+P107(f315(f315(f223(a1),f2(a1)),f481(x95352,x95354,x95353,x95355,x95351)))
% 201.34/201.11 [9536]~E(x95363,x95365)+~P72(x95361)+~P76(x95361)+~P42(x95363)+E(f315(f315(f11(a1,x95361),x95362),x95363),f315(f315(f11(a1,x95361),x95364),x95365))+P107(f315(f315(f223(a1),f2(a1)),f482(x95362,x95364,x95363,x95365,x95361)))
% 201.34/201.11 [9717]~E(x97175,x97173)+~P72(x97171)+~P76(x97171)+~P42(x97175)+~E(f315(x97172,f481(x97174,x97172,x97175,x97173,x97171)),f315(x97174,f481(x97174,x97172,x97175,x97173,x97171)))+E(f315(f315(f8(a1,x97171),x97172),x97173),f315(f315(f8(a1,x97171),x97174),x97175))
% 201.34/201.11 [9718]~E(x97185,x97183)+~P72(x97181)+~P76(x97181)+~P42(x97185)+~E(f315(x97182,f482(x97184,x97182,x97185,x97183,x97181)),f315(x97184,f482(x97184,x97182,x97185,x97183,x97181)))+E(f315(f315(f11(a1,x97181),x97182),x97183),f315(f315(f11(a1,x97181),x97184),x97185))
% 201.34/201.11 [9805]~P82(x98053)+E(f315(x98051,x98052),f2(x98053))+~E(f315(f315(f8(x98054,x98053),x98051),x98055),f2(x98053))+~P107(f315(f54(x98054),x98055))+P107(f315(f315(f317(x98054),f396(x98052,x98051,x98055,x98054,x98053)),x98055))+~P107(f315(f315(f317(x98054),x98052),x98055))
% 201.34/201.11 [9932]~P82(x99323)+E(f315(x99321,x99322),f2(x99323))+~E(f315(f315(f8(x99324,x99323),x99321),x99325),f2(x99323))+~P107(f315(f54(x99324),x99325))+~P107(f315(f315(f317(x99324),x99322),x99325))+~P107(f315(f315(f223(x99323),f2(x99323)),f315(x99321,f396(x99322,x99321,x99325,x99324,x99323))))
% 201.34/201.11 [8440]~P141(x84401)+~P107(f315(f315(f223(x84401),x84403),x84405))+~P107(f315(f315(f223(x84401),x84402),x84404))+~P107(f315(f315(f223(x84401),f2(x84401)),x84403))+~P107(f315(f315(f223(x84401),f2(x84401)),x84404))+P107(f315(f315(f223(x84401),f315(f315(f74(x84401),x84402),x84403)),f315(f315(f74(x84401),x84404),x84405)))
% 201.34/201.11 [8441]~P141(x84411)+~P107(f315(f315(f223(x84411),x84413),x84415))+~P107(f315(f315(f223(x84411),x84412),x84414))+~P107(f315(f315(f223(x84411),f2(x84411)),x84413))+~P107(f315(f315(f223(x84411),f2(x84411)),x84412))+P107(f315(f315(f223(x84411),f315(f315(f74(x84411),x84412),x84413)),f315(f315(f74(x84411),x84414),x84415)))
% 201.34/201.11 [8442]~P68(x84421)+~P107(f315(f315(f224(x84421),f2(x84421)),x84425))+~P107(f315(f315(f223(x84421),x84425),x84423))+~P107(f315(f315(f223(x84421),x84422),x84424))+~P107(f315(f315(f223(x84421),f2(x84421)),x84422))+P107(f315(f315(f223(x84421),f315(f315(f279(x84421),x84422),x84423)),f315(f315(f279(x84421),x84424),x84425)))
% 201.34/201.11 [8443]~P138(x84431)+~P107(f315(f315(f223(x84431),x84433),x84435))+~P107(f315(f315(f223(x84431),f2(x84431)),x84432))+~P107(f315(f315(f224(x84431),x84432),x84434))+~P107(f315(f315(f224(x84431),f2(x84431)),x84433))+P107(f315(f315(f224(x84431),f315(f315(f74(x84431),x84432),x84433)),f315(f315(f74(x84431),x84434),x84435)))
% 201.34/201.11 [8444]~P138(x84441)+~P107(f315(f315(f223(x84441),x84442),x84444))+~P107(f315(f315(f223(x84441),f2(x84441)),x84443))+~P107(f315(f315(f224(x84441),x84443),x84445))+~P107(f315(f315(f224(x84441),f2(x84441)),x84442))+P107(f315(f315(f224(x84441),f315(f315(f74(x84441),x84442),x84443)),f315(f315(f74(x84441),x84444),x84445)))
% 201.34/201.11 [8445]~P138(x84451)+~P107(f315(f315(f223(x84451),f2(x84451)),x84453))+~P107(f315(f315(f223(x84451),f2(x84451)),x84452))+~P107(f315(f315(f224(x84451),x84453),x84455))+~P107(f315(f315(f224(x84451),x84452),x84454))+P107(f315(f315(f224(x84451),f315(f315(f74(x84451),x84452),x84453)),f315(f315(f74(x84451),x84454),x84455)))
% 201.34/201.11 [8446]~P138(x84461)+~P107(f315(f315(f223(x84461),f2(x84461)),x84463))+~P107(f315(f315(f224(x84461),x84463),x84465))+~P107(f315(f315(f224(x84461),x84462),x84464))+~P107(f315(f315(f224(x84461),f2(x84461)),x84464))+P107(f315(f315(f224(x84461),f315(f315(f74(x84461),x84462),x84463)),f315(f315(f74(x84461),x84464),x84465)))
% 201.34/201.11 [8447]~P68(x84471)+~P107(f315(f315(f223(x84471),x84475),x84473))+~P107(f315(f315(f223(x84471),f2(x84471)),x84472))+~P107(f315(f315(f224(x84471),x84472),x84474))+~P107(f315(f315(f224(x84471),f2(x84471)),x84475))+P107(f315(f315(f224(x84471),f315(f315(f279(x84471),x84472),x84473)),f315(f315(f279(x84471),x84474),x84475)))
% 201.34/201.11 [8448]~P68(x84481)+~P107(f315(f315(f223(x84481),x84482),x84484))+~P107(f315(f315(f224(x84481),x84485),x84483))+~P107(f315(f315(f224(x84481),f2(x84481)),x84485))+~P107(f315(f315(f224(x84481),f2(x84481)),x84482))+P107(f315(f315(f224(x84481),f315(f315(f279(x84481),x84482),x84483)),f315(f315(f279(x84481),x84484),x84485)))
% 201.34/201.11 [9848]~P89(x98485)+~P76(x98485)+E(x98481,f177(f901(x98482,a891)))+~P107(f315(f54(x98482),x98481))+P107(f315(f315(f317(x98482),f757(x98483,x98484,x98481,x98482,x98485)),x98481))+P107(f315(f315(f224(x98485),f315(f315(f8(x98482,x98485),x98484),x98481)),f315(f315(f8(x98482,x98485),x98483),x98481)))
% 201.34/201.11 [9957]~P87(x99571)+~P76(x99571)+~P107(f315(f54(x99572),x99575))+~P107(f315(f315(f223(x99571),f2(x99571)),f315(x99573,f863(x99573,x99574,x99575,x99572,x99571))))+P107(f315(f315(f223(x99571),f315(f315(f8(x99572,x99571),x99573),x99574)),f315(f315(f8(x99572,x99571),x99573),x99575)))+~P107(f315(f315(f223(f901(x99572,a891)),x99574),x99575))
% 201.34/201.11 [10126]~P89(x101263)+~P76(x101263)+E(x101261,f177(f901(x101262,a891)))+~P107(f315(f54(x101262),x101261))+~P107(f315(f315(f224(x101263),f315(x101264,f757(x101265,x101264,x101261,x101262,x101263))),f315(x101265,f757(x101265,x101264,x101261,x101262,x101263))))+P107(f315(f315(f224(x101263),f315(f315(f8(x101262,x101263),x101264),x101261)),f315(f315(f8(x101262,x101263),x101265),x101261)))
% 201.34/201.11 [7166]~P17(x71662,x71665,x71664)+E(x71661,f177(f901(x71662,a891)))+E(x71663,f177(f901(x71662,a891)))+~P107(f315(f54(x71662),x71661))+~P107(f315(f54(x71662),x71663))+E(f315(x71664,f315(f315(f99(f901(x71662,a891)),x71663),x71661)),f315(f315(x71665,f315(x71664,x71663)),f315(x71664,x71661)))
% 201.34/201.11 [7757]~P150(x77571,x77573,x77574)+P107(f315(x77571,x77572))+~P107(f315(f315(f224(a1),x77574),f2(a1)))+~P107(f315(f315(f223(a1),x77575),f2(a1)))+~E(x77573,f315(f315(f73(a1),f315(f315(f74(a1),x77574),x77572)),x77575))+~P107(f315(f315(f224(a1),x77574),x77575))
% 201.34/201.11 [7758]~P149(x77581,x77583,x77584)+P107(f315(x77581,x77582))+~P107(f315(f315(f224(a1),x77584),f2(a1)))+~P107(f315(f315(f223(a1),x77582),f2(a1)))+~E(x77583,f315(f315(f73(a1),f315(f315(f74(a1),x77584),x77585)),x77582))+~P107(f315(f315(f224(a1),x77584),x77582))
% 201.34/201.11 [7800]~P150(x78001,x78003,x78004)+P107(f315(x78001,x78002))+~E(x78003,f315(f315(f73(a1),f315(f315(f74(a1),x78004),x78002)),x78005))+~P107(f315(f315(f223(a1),f2(a1)),x78005))+~P107(f315(f315(f224(a1),f2(a1)),x78004))+~P107(f315(f315(f224(a1),x78005),x78004))
% 201.34/201.11 [7801]~P149(x78011,x78013,x78014)+P107(f315(x78011,x78012))+~E(x78013,f315(f315(f73(a1),f315(f315(f74(a1),x78014),x78015)),x78012))+~P107(f315(f315(f223(a1),f2(a1)),x78012))+~P107(f315(f315(f224(a1),f2(a1)),x78014))+~P107(f315(f315(f224(a1),x78012),x78014))
% 201.34/201.11 [8732]P107(f315(f315(x87321,x87322),x87323))+~P107(f315(f315(x87321,f315(f315(f29(a1),x87324),x87325)),f38(a1,x87324,x87325)))+~P107(f315(f315(f224(a1),x87325),f2(a1)))+~P107(f315(f315(f223(a1),x87323),f2(a1)))+~E(x87324,f315(f315(f73(a1),f315(f315(f74(a1),x87325),x87322)),x87323))+~P107(f315(f315(f224(a1),x87325),x87323))
% 201.34/201.11 [8742]P107(f315(f315(x87421,x87422),x87423))+~P107(f315(f315(x87421,f315(f315(f29(a1),x87424),x87425)),f38(a1,x87424,x87425)))+~E(x87424,f315(f315(f73(a1),f315(f315(f74(a1),x87425),x87422)),x87423))+~P107(f315(f315(f223(a1),f2(a1)),x87423))+~P107(f315(f315(f224(a1),f2(a1)),x87425))+~P107(f315(f315(f224(a1),x87423),x87425))
% 201.34/201.11 [9003]E(x90031,x90032)+~P57(x90033,x90035,x90034)+~P107(f315(f315(f317(x90033),x90032),x90035))+~P107(f315(f315(f317(x90033),x90031),x90035))+P107(f315(f315(f317(f900(x90033,x90033)),f315(f315(f240(x90033,x90033),x90031),x90032)),x90034))+P107(f315(f315(f317(f900(x90033,x90033)),f315(f315(f240(x90033,x90033),x90032),x90031)),x90034))
% 201.34/201.11 [9875]~P87(x98755)+~P76(x98755)+~P107(f315(f54(x98751),x98754))+P107(f315(f315(f223(x98755),f315(f315(f8(x98751,x98755),x98752),x98753)),f315(f315(f8(x98751,x98755),x98752),x98754)))+~P107(f315(f315(f223(f901(x98751,a891)),x98753),x98754))+P107(f315(f315(f317(x98751),f863(x98752,x98753,x98754,x98751,x98755)),f315(f315(f3(f901(x98751,a891)),x98754),x98753)))
% 201.34/201.11 [9965]E(x99651,f177(f901(x99652,a891)))+~P107(f315(f54(x99652),x99653))+~P107(f315(f54(x99652),x99651))+P107(f315(f315(f317(f900(f901(x99652,a891),f901(x99652,a891))),f315(f315(f240(f901(x99652,a891),f901(x99652,a891)),x99653),x99651)),f306(x99652,x99654)))+~P107(f315(f315(f317(x99652),x99655),x99651))+~P107(f315(f315(f317(f900(x99652,x99652)),f315(f315(f240(x99652,x99652),f510(x99654,x99651,x99653,x99652)),x99655)),x99654))
% 201.34/201.11 [9966]E(x99661,f177(f901(x99662,a891)))+~P107(f315(f54(x99662),x99663))+~P107(f315(f54(x99662),x99661))+P107(f315(f315(f317(f900(f901(x99662,a891),f901(x99662,a891))),f315(f315(f240(f901(x99662,a891),f901(x99662,a891)),x99663),x99661)),f306(x99662,x99664)))+~P107(f315(f315(f317(x99662),x99665),x99661))+~P107(f315(f315(f317(f900(x99662,x99662)),f315(f315(f240(x99662,x99662),f586(x99664,x99661,x99663,x99662)),x99665)),x99664))
% 201.34/201.11 [10130]~P82(x101301)+~E(f315(f315(f8(x101305,x101301),x101302),x101306),x101304)+~P107(f315(f54(x101305),x101306))+P107(f315(f315(f317(x101305),f398(x101303,x101304,x101302,x101306,x101305,x101301)),x101306))+P107(f315(f315(f223(x101301),f315(x101302,x101303)),x101304))+~P107(f315(f315(f317(x101305),x101303),x101306))
% 201.34/201.11 [10177]~P82(x101771)+~E(f315(f315(f8(x101775,x101771),x101772),x101776),x101774)+~P107(f315(f54(x101775),x101776))+~P107(f315(f315(f317(x101775),x101773),x101776))+~P107(f315(f315(f223(x101771),f2(x101771)),f315(x101772,f398(x101773,x101774,x101772,x101776,x101775,x101771))))+P107(f315(f315(f223(x101771),f315(x101772,x101773)),x101774))
% 201.34/201.11 [10319]~E(x103195,x103198)+~E(x103194,x103197)+~P109(x103191)+~P76(x103192)+E(f315(f315(f8(x103191,x103192),x103193),f315(f290(x103191,x103194),x103195)),f315(f315(f8(x103191,x103192),x103196),f315(f290(x103191,x103197),x103198)))+P107(f315(f315(f223(x103191),x103194),f590(x103193,x103196,x103195,x103198,x103194,x103197,x103191,x103192)))
% 201.34/201.11 [10335]~E(x103357,x103354)+~E(x103358,x103355)+~P109(x103351)+~P76(x103352)+~E(f315(x103353,f590(x103356,x103353,x103358,x103355,x103357,x103354,x103351,x103352)),f315(x103356,f590(x103356,x103353,x103358,x103355,x103357,x103354,x103351,x103352)))+E(f315(f315(f8(x103351,x103352),x103353),f315(f290(x103351,x103354),x103355)),f315(f315(f8(x103351,x103352),x103356),f315(f290(x103351,x103357),x103358)))
% 201.34/201.11 [10338]~E(x103384,x103387)+~E(x103385,x103388)+~P109(x103381)+~P76(x103382)+E(f315(f315(f8(x103381,x103382),x103383),f315(f290(x103381,x103384),x103385)),f315(f315(f8(x103381,x103382),x103386),f315(f290(x103381,x103387),x103388)))+P107(f315(f315(f224(x103381),f590(x103383,x103386,x103385,x103388,x103384,x103387,x103381,x103382)),x103385))
% 201.34/201.11 [9972]~P8(x99725,x99729,x99726)+~P8(x99721,x997210,x99723)+~P12(x99721,x99725,f901(x99722,a891),x99723,x99726,x99728)+~P107(f315(f315(f317(x99725),x99727),x99729))+~P107(f315(f315(f317(x99721),x99724),x997210))+E(f315(f315(f33(x99721,f901(x99722,a891)),f315(f273(x99721,x99721,x99723),f315(f315(f297(x99721),x99724),f177(f901(x99721,a891))))),f315(f315(f10(f901(x99725,f901(x99722,a891)),f901(x99722,a891),x99721),f315(f33(x99725,f901(x99722,a891)),f315(f273(x99725,x99725,x99726),f315(f315(f297(x99725),x99727),f177(f901(x99725,a891)))))),x99728)),f315(f315(x99728,x99724),x99727))
% 201.34/201.11 [5660]~P110(x56603)+~P13(x56603,x56602)+~P13(x56603,x56601)+E(x56601,x56602)+~E(f315(f161(x56603),x56601),f315(f161(x56603),x56602))+~P107(f315(f126(x56603),x56602))+~P107(f315(f126(x56603),x56601))
% 201.34/201.11 [4984]~P136(x49842)+~P137(x49842)+~P146(x49842)+~P116(x49842)+~E(x49843,f2(x49842))+E(x49841,f2(a893))+E(f315(f315(f232(x49842),x49843),x49841),f2(x49842))
% 201.34/201.11 [9258]E(x92581,f2(a893))+~E(x92582,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x92583)),x92581)),f315(f244(a893,a893),x92583)))+P107(f315(f41(x92582,x92581),x92583))+~P107(f315(f315(f223(a893),f315(f244(a893,a893),x92583)),f2(a893)))+~P107(f315(f315(f223(a893),f2(a893)),f315(f244(a893,a893),x92583)))+~P107(f315(f315(f224(a893),x92581),f315(f244(a893,a893),x92583)))+~P107(f315(f315(f224(a893),f315(f244(a893,a893),x92583)),x92581))
% 201.34/201.11 [9266]~E(f315(f239(a893,a893),x92663),f2(a893))+~E(x92661,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),x92663)),x92662)),f315(f244(a893,a893),x92663)))+P107(f315(f41(x92661,x92662),x92663))+~P107(f315(f315(f223(a893),f315(f244(a893,a893),x92663)),f2(a893)))+~P107(f315(f315(f223(a893),f2(a893)),f315(f244(a893,a893),x92663)))+~P107(f315(f315(f224(a893),x92662),f315(f244(a893,a893),x92663)))+~P107(f315(f315(f224(a893),f315(f244(a893,a893),x92663)),x92662))
% 201.34/201.11 [8110]~P70(x81102)+E(x81101,f177(f901(x81102,a891)))+E(x81103,f177(f901(x81102,a891)))+~P107(f315(f54(x81102),x81101))+~P107(f315(f54(x81102),x81103))+~E(f315(f315(f90(f901(x81102,a891)),x81103),x81101),f177(f901(x81102,a891)))+E(f315(f315(f74(x81102),f315(f56(x81102,f74(x81102)),x81103)),f315(f56(x81102,f74(x81102)),x81101)),f315(f56(x81102,f74(x81102)),f315(f315(f99(f901(x81102,a891)),x81103),x81101)))
% 201.34/201.11 [7895]E(x78951,f2(a1))+E(f315(f315(f29(a1),x78952),x78951),x78953)+~P107(f315(f315(f223(a1),x78954),f2(a1)))+~E(x78952,f315(f315(f73(a1),f315(f315(f74(a1),x78951),x78953)),x78954))+~P107(f315(f315(f223(a1),f2(a1)),x78954))+~P107(f315(f315(f224(a1),x78954),x78951))+~P107(f315(f315(f224(a1),x78951),x78954))
% 201.34/201.11 [7903]E(f38(a1,x79032,x79031),x79033)+E(x79031,f2(a1))+~P107(f315(f315(f223(a1),x79033),f2(a1)))+~E(x79032,f315(f315(f73(a1),f315(f315(f74(a1),x79031),x79034)),x79033))+~P107(f315(f315(f223(a1),f2(a1)),x79033))+~P107(f315(f315(f224(a1),x79033),x79031))+~P107(f315(f315(f224(a1),x79031),x79033))
% 201.34/201.11 [6945]~P62(x69452)+E(x69451,f2(x69452))+E(x69453,f2(x69452))+~E(f315(f315(f29(x69452),x69454),x69453),f315(f315(f29(x69452),x69455),x69451))+E(f315(f315(f74(x69452),x69454),x69451),f315(f315(f74(x69452),x69453),x69455))+~P107(f315(f315(f275(x69452),x69451),x69455))+~P107(f315(f315(f275(x69452),x69453),x69454))
% 201.34/201.11 [6946]~P62(x69462)+E(x69461,f2(x69462))+E(x69463,f2(x69462))+~E(f315(f315(f74(x69462),x69464),x69463),f315(f315(f74(x69462),x69461),x69465))+E(f315(f315(f29(x69462),x69464),x69461),f315(f315(f29(x69462),x69465),x69463))+~P107(f315(f315(f275(x69462),x69461),x69464))+~P107(f315(f315(f275(x69462),x69463),x69465))
% 201.34/201.11 [7810]~P18(x78102,x78105,x78104)+E(x78101,f177(f901(x78102,a891)))+E(x78103,f177(f901(x78102,a891)))+~P107(f315(f54(x78102),x78101))+~P107(f315(f54(x78102),x78103))+~E(f315(f315(f90(f901(x78102,a891)),x78103),x78101),f177(f901(x78102,a891)))+E(f315(x78104,f315(f315(f99(f901(x78102,a891)),x78103),x78101)),f315(f315(x78105,f315(x78104,x78103)),f315(x78104,x78101)))
% 201.34/201.11 [9508]~P26(x95083,x95081,x95085,x95084)+~P26(x95081,x95083,x95086,x95082)+E(f315(f28(x95081),x95082),f315(f28(x95083),x95084))+~P107(f315(f54(x95083),x95084))+~P107(f315(f54(x95081),x95082))+~P107(f315(f315(f223(f901(x95083,a891)),f315(f298(x95081,x95083,x95086),x95082)),x95084))+~P107(f315(f315(f223(f901(x95081,a891)),f315(f298(x95083,x95081,x95085),x95084)),x95082))
% 201.34/201.11 [9450]~P107(f315(f315(f224(a1),f315(f315(f73(a1),f315(f315(f74(a1),x94505),x94501)),x94506)),f2(a1)))+~E(f315(f315(f73(a1),f315(f315(f74(a1),x94503),x94502)),x94504),f315(f315(f73(a1),f315(f315(f74(a1),x94505),x94501)),x94506))+~P107(f315(f315(f223(a1),f2(a1)),x94506))+~P107(f315(f315(f224(a1),f2(a1)),x94505))+~P107(f315(f315(f223(a1),x94505),x94503))+~P107(f315(f315(f224(a1),x94504),x94503))+P107(f315(f315(f223(a1),x94501),x94502))
% 201.34/201.11 [9209]~E(f315(f315(f73(a1),f315(f315(f74(a1),x92093),x92091)),x92094),f315(f315(f73(a1),f315(f315(f74(a1),x92095),x92092)),x92096))+~P107(f315(f315(f223(a1),f2(a1)),x92094))+~P107(f315(f315(f224(a1),f2(a1)),x92095))+~P107(f315(f315(f223(a1),x92095),x92093))+~P107(f315(f315(f224(a1),x92096),x92095))+P107(f315(f315(f223(a1),x92091),x92092))+~P107(f315(f315(f223(a1),f2(a1)),f315(f315(f73(a1),f315(f315(f74(a1),x92095),x92092)),x92096)))
% 201.34/201.11 [9390]~P135(x93901)+~E(f315(f315(f73(x93901),x93902),x93904),f71(x93901))+~P107(f315(f315(f223(x93901),x93905),x93906))+~P107(f315(f315(f223(x93901),x93903),x93906))+~P107(f315(f315(f223(x93901),f2(x93901)),x93904))+~P107(f315(f315(f223(x93901),f2(x93901)),x93902))+P107(f315(f315(f223(x93901),f315(f315(f73(x93901),f315(f315(f74(x93901),x93902),x93903)),f315(f315(f74(x93901),x93904),x93905))),x93906))
% 201.34/201.11 [9391]~P133(x93911)+~E(f315(f315(f73(x93911),x93912),x93914),f71(x93911))+~P107(f315(f315(f223(x93911),f2(x93911)),x93914))+~P107(f315(f315(f223(x93911),f2(x93911)),x93912))+~P107(f315(f315(f224(x93911),x93915),x93916))+~P107(f315(f315(f224(x93911),x93913),x93916))+P107(f315(f315(f224(x93911),f315(f315(f73(x93911),f315(f315(f74(x93911),x93912),x93913)),f315(f315(f74(x93911),x93914),x93915))),x93916))
% 201.34/201.11 [10224]~P8(x102247,x102246,x102245)+E(x102241,x102242)+~P11(x102247,f901(x102244,a891),x102245,x102243)+E(f315(x102243,f492(x102241,x102242,x102243,x102244,x102245,x102246,x102247)),f315(x102243,f493(x102241,x102242,x102243,x102244,x102245,x102246,x102247)))+~E(f315(f315(f33(x102247,f901(x102244,a891)),x102241),x102243),f315(f315(f33(x102247,f901(x102244,a891)),x102242),x102243))+~P107(f315(f315(f317(f901(x102247,a891)),x102242),f315(f315(f53(x102247),x102246),x102245)))+~P107(f315(f315(f317(f901(x102247,a891)),x102241),f315(f315(f53(x102247),x102246),x102245)))
% 201.34/201.11 [10275]~P8(x102753,x102757,x102756)+E(x102751,x102752)+~P11(x102753,f901(x102755,a891),x102756,x102754)+~E(f315(f315(f33(x102753,f901(x102755,a891)),x102751),x102754),f315(f315(f33(x102753,f901(x102755,a891)),x102752),x102754))+P107(f315(f315(f317(x102753),f493(x102751,x102752,x102754,x102755,x102756,x102757,x102753)),x102757))+~P107(f315(f315(f317(f901(x102753,a891)),x102752),f315(f315(f53(x102753),x102757),x102756)))+~P107(f315(f315(f317(f901(x102753,a891)),x102751),f315(f315(f53(x102753),x102757),x102756)))
% 201.34/201.11 [10276]~P8(x102763,x102767,x102766)+E(x102761,x102762)+~P11(x102763,f901(x102765,a891),x102766,x102764)+~E(f315(f315(f33(x102763,f901(x102765,a891)),x102761),x102764),f315(f315(f33(x102763,f901(x102765,a891)),x102762),x102764))+P107(f315(f315(f317(x102763),f492(x102761,x102762,x102764,x102765,x102766,x102767,x102763)),x102767))+~P107(f315(f315(f317(f901(x102763,a891)),x102762),f315(f315(f53(x102763),x102767),x102766)))+~P107(f315(f315(f317(f901(x102763,a891)),x102761),f315(f315(f53(x102763),x102767),x102766)))
% 201.34/201.11 [10354]E(x103541,x103542)+~P8(x103543,x103546,x103547)+~P11(x103543,f901(x103544,a891),x103547,x103545)+~E(f315(f315(f33(x103543,f901(x103544,a891)),x103541),x103545),f315(f315(f33(x103543,f901(x103544,a891)),x103542),x103545))+~P107(f315(f315(f317(f900(x103543,x103543)),f315(f315(f240(x103543,x103543),f493(x103541,x103542,x103545,x103544,x103547,x103546,x103543)),f492(x103541,x103542,x103545,x103544,x103547,x103546,x103543))),x103547))+~P107(f315(f315(f317(f901(x103543,a891)),x103542),f315(f315(f53(x103543),x103546),x103547)))+~P107(f315(f315(f317(f901(x103543,a891)),x103541),f315(f315(f53(x103543),x103546),x103547)))
% 201.34/201.11 [9208]~P8(x92081,x92087,x92084)+~E(x92085,x92086)+~P107(f315(f315(f317(x92081),x92083),x92086))+~P107(f315(f315(f317(x92081),x92082),x92085))+~P107(f315(f315(f317(f901(x92081,a891)),x92086),f315(f315(f53(x92081),x92087),x92084)))+~P107(f315(f315(f317(f901(x92081,a891)),x92085),f315(f315(f53(x92081),x92087),x92084)))+P107(f315(f315(f317(f900(x92081,x92081)),f315(f315(f240(x92081,x92081),x92082),x92083)),x92084))
% 201.34/201.11 [9347]E(x93471,x93472)+~P8(x93473,x93474,x93475)+~P107(f315(f315(f317(x93473),x93476),x93472))+~P107(f315(f315(f317(x93473),x93477),x93471))+~P107(f315(f315(f317(f901(x93473,a891)),x93472),f315(f315(f53(x93473),x93474),x93475)))+~P107(f315(f315(f317(f901(x93473,a891)),x93471),f315(f315(f53(x93473),x93474),x93475)))+~P107(f315(f315(f317(f900(x93473,x93473)),f315(f315(f240(x93473,x93473),x93477),x93476)),x93475))
% 201.34/201.11 [10381]~P8(x103819,x103818,x103817)+~P8(x103811,x1038111,x1038110)+~P12(x103811,x103819,f901(x103816,a891),x1038110,x103817,x103815)+P107(f315(f315(f317(x103811),f495(x103812,x103813,x103814,x103815,x103816,x103817,x103818,x103819,x1038110,x1038111,x103811)),x1038111))+~P107(f315(f315(f317(f901(x103819,a891)),x103813),f315(f315(f53(x103819),x103818),x103817)))+~P107(f315(f315(f317(f901(x103811,a891)),x103814),f315(f315(f53(x103811),x1038111),x1038110)))+P107(f315(f315(f317(f901(x103816,a891)),f315(f315(f33(x103811,f901(x103816,a891)),x103814),f315(f315(f10(f901(x103819,f901(x103816,a891)),f901(x103816,a891),x103811),f315(f33(x103819,f901(x103816,a891)),x103813)),x103815))),x103812))
% 201.34/201.11 [10382]~P8(x1038211,x1038210,x103829)+~P8(x103821,x103828,x103827)+~P12(x1038211,x103821,f901(x103826,a891),x103829,x103827,x103825)+P107(f315(f315(f317(x103821),f496(x103822,x103823,x103824,x103825,x103826,x103827,x103828,x103821,x103829,x1038210,x1038211)),x103828))+~P107(f315(f315(f317(f901(x1038211,a891)),x103824),f315(f315(f53(x1038211),x1038210),x103829)))+~P107(f315(f315(f317(f901(x103821,a891)),x103823),f315(f315(f53(x103821),x103828),x103827)))+P107(f315(f315(f317(f901(x103826,a891)),f315(f315(f33(x1038211,f901(x103826,a891)),x103824),f315(f315(f10(f901(x103821,f901(x103826,a891)),f901(x103826,a891),x1038211),f315(f33(x103821,f901(x103826,a891)),x103823)),x103825))),x103822))
% 201.34/201.11 [10383]~P8(x103832,x103838,x103839)+~P8(x103834,x1038310,x1038311)+~P12(x103832,x103834,f901(x103831,a891),x103839,x1038311,x103836)+~P107(f315(f315(f317(f901(x103832,a891)),x103833),f315(f315(f53(x103832),x103838),x103839)))+~P107(f315(f315(f317(f901(x103834,a891)),x103835),f315(f315(f53(x103834),x1038310),x1038311)))+~P107(f315(f315(f317(f901(x103831,a891)),f315(f315(x103836,f495(x103837,x103835,x103833,x103836,x103831,x1038311,x1038310,x103834,x103839,x103838,x103832)),f496(x103837,x103835,x103833,x103836,x103831,x1038311,x1038310,x103834,x103839,x103838,x103832))),x103837))+P107(f315(f315(f317(f901(x103831,a891)),f315(f315(f33(x103832,f901(x103831,a891)),x103833),f315(f315(f10(f901(x103834,f901(x103831,a891)),f901(x103831,a891),x103832),f315(f33(x103834,f901(x103831,a891)),x103835)),x103836))),x103837))
% 201.34/201.11 [9244]E(x92441,x92442)+~P110(x92444)+~P26(x92443,x92444,x92445,f315(f315(f99(f901(x92443,a891)),f315(f161(x92443),x92441)),f315(f161(x92443),x92442)))+~E(f315(f161(x92443),x92441),f315(f161(x92443),x92442))+~P13(x92444,f315(f315(f143(x92443,x92444),x92445),x92442))+~P13(x92444,f315(f315(f143(x92443,x92444),x92445),x92441))+~P107(f315(f126(x92444),f315(f315(f143(x92443,x92444),x92445),x92442)))+~P107(f315(f126(x92444),f315(f315(f143(x92443,x92444),x92445),x92441)))
% 201.34/201.11 %EqnAxiom
% 201.34/201.11 [1]E(x11,x11)
% 201.34/201.11 [2]E(x22,x21)+~E(x21,x22)
% 201.34/201.11 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 201.34/201.11 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 201.34/201.11 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 201.34/201.11 [6]~E(x61,x62)+E(f89(x61),f89(x62))
% 201.34/201.11 [7]~E(x71,x72)+E(f177(x71),f177(x72))
% 201.34/201.11 [8]~E(x81,x82)+E(f315(x81,x83),f315(x82,x83))
% 201.34/201.11 [9]~E(x91,x92)+E(f315(x93,x91),f315(x93,x92))
% 201.34/201.11 [10]~E(x101,x102)+E(f90(x101),f90(x102))
% 201.34/201.11 [11]~E(x111,x112)+E(f221(x111),f221(x112))
% 201.34/201.11 [12]~E(x121,x122)+E(f99(x121),f99(x122))
% 201.34/201.11 [13]~E(x131,x132)+E(f222(x131),f222(x132))
% 201.34/201.11 [14]~E(x141,x142)+E(f91(x141),f91(x142))
% 201.34/201.11 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 201.34/201.11 [16]~E(x161,x162)+E(f77(x161),f77(x162))
% 201.34/201.11 [17]~E(x171,x172)+E(f10(x171,x173,x174),f10(x172,x173,x174))
% 201.34/201.11 [18]~E(x181,x182)+E(f10(x183,x181,x184),f10(x183,x182,x184))
% 201.34/201.11 [19]~E(x191,x192)+E(f10(x193,x194,x191),f10(x193,x194,x192))
% 201.34/201.11 [20]~E(x201,x202)+E(f73(x201),f73(x202))
% 201.34/201.11 [21]~E(x211,x212)+E(f894(x211),f894(x212))
% 201.34/201.11 [22]~E(x221,x222)+E(f71(x221),f71(x222))
% 201.34/201.11 [23]~E(x231,x232)+E(f496(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f496(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 201.34/201.11 [24]~E(x241,x242)+E(f496(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f496(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 201.34/201.11 [25]~E(x251,x252)+E(f496(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f496(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 201.34/201.11 [26]~E(x261,x262)+E(f496(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f496(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612))
% 201.34/201.11 [27]~E(x271,x272)+E(f496(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f496(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712))
% 201.34/201.11 [28]~E(x281,x282)+E(f496(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f496(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812))
% 201.34/201.11 [29]~E(x291,x292)+E(f496(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f496(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912))
% 201.34/201.11 [30]~E(x301,x302)+E(f496(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f496(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012))
% 201.34/201.11 [31]~E(x311,x312)+E(f496(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f496(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112))
% 201.34/201.11 [32]~E(x321,x322)+E(f496(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f496(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212))
% 201.34/201.11 [33]~E(x331,x332)+E(f496(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f496(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332))
% 201.34/201.11 [34]~E(x341,x342)+E(f901(x341,x343),f901(x342,x343))
% 201.34/201.11 [35]~E(x351,x352)+E(f901(x353,x351),f901(x353,x352))
% 201.34/201.11 [36]~E(x361,x362)+E(f6(x361),f6(x362))
% 201.34/201.11 [37]~E(x371,x372)+E(f495(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f495(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 201.34/201.11 [38]~E(x381,x382)+E(f495(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f495(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 201.34/201.11 [39]~E(x391,x392)+E(f495(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f495(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 201.34/201.11 [40]~E(x401,x402)+E(f495(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f495(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 201.34/201.11 [41]~E(x411,x412)+E(f495(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f495(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 201.34/201.11 [42]~E(x421,x422)+E(f495(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f495(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 201.34/201.11 [43]~E(x431,x432)+E(f495(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f495(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 201.34/201.11 [44]~E(x441,x442)+E(f495(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f495(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 201.34/201.11 [45]~E(x451,x452)+E(f495(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f495(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 201.34/201.11 [46]~E(x461,x462)+E(f495(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f495(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 201.34/201.11 [47]~E(x471,x472)+E(f495(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f495(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 201.34/201.11 [48]~E(x481,x482)+E(f317(x481),f317(x482))
% 201.34/201.11 [49]~E(x491,x492)+E(f100(x491),f100(x492))
% 201.34/201.11 [50]~E(x501,x502)+E(f298(x501,x503,x504),f298(x502,x503,x504))
% 201.34/201.11 [51]~E(x511,x512)+E(f298(x513,x511,x514),f298(x513,x512,x514))
% 201.34/201.11 [52]~E(x521,x522)+E(f298(x523,x524,x521),f298(x523,x524,x522))
% 201.34/201.11 [53]~E(x531,x532)+E(f892(x531),f892(x532))
% 201.34/201.11 [54]~E(x541,x542)+E(f897(x541),f897(x542))
% 201.34/201.11 [55]~E(x551,x552)+E(f74(x551),f74(x552))
% 201.34/201.11 [56]~E(x561,x562)+E(f895(x561),f895(x562))
% 201.34/201.11 [57]~E(x571,x572)+E(f72(x571),f72(x572))
% 201.34/201.11 [58]~E(x581,x582)+E(f20(x581,x583,x584),f20(x582,x583,x584))
% 201.34/201.11 [59]~E(x591,x592)+E(f20(x593,x591,x594),f20(x593,x592,x594))
% 201.34/201.11 [60]~E(x601,x602)+E(f20(x603,x604,x601),f20(x603,x604,x602))
% 201.34/201.11 [61]~E(x611,x612)+E(f92(x611),f92(x612))
% 201.34/201.11 [62]~E(x621,x622)+E(f900(x621,x623),f900(x622,x623))
% 201.34/201.11 [63]~E(x631,x632)+E(f900(x633,x631),f900(x633,x632))
% 201.34/201.11 [64]~E(x641,x642)+E(f178(x641),f178(x642))
% 201.34/201.11 [65]~E(x651,x652)+E(f250(x651),f250(x652))
% 201.34/201.11 [66]~E(x661,x662)+E(f161(x661),f161(x662))
% 201.34/201.11 [67]~E(x671,x672)+E(f54(x671),f54(x672))
% 201.34/201.11 [68]~E(x681,x682)+E(f223(x681),f223(x682))
% 201.34/201.11 [69]~E(x691,x692)+E(f736(x691,x693,x694),f736(x692,x693,x694))
% 201.34/201.11 [70]~E(x701,x702)+E(f736(x703,x701,x704),f736(x703,x702,x704))
% 201.34/201.11 [71]~E(x711,x712)+E(f736(x713,x714,x711),f736(x713,x714,x712))
% 201.34/201.11 [72]~E(x721,x722)+E(f160(x721),f160(x722))
% 201.34/201.11 [73]~E(x731,x732)+E(f291(x731,x733,x734),f291(x732,x733,x734))
% 201.34/201.11 [74]~E(x741,x742)+E(f291(x743,x741,x744),f291(x743,x742,x744))
% 201.34/201.11 [75]~E(x751,x752)+E(f291(x753,x754,x751),f291(x753,x754,x752))
% 201.34/201.11 [76]~E(x761,x762)+E(f8(x761,x763),f8(x762,x763))
% 201.34/201.11 [77]~E(x771,x772)+E(f8(x773,x771),f8(x773,x772))
% 201.34/201.11 [78]~E(x781,x782)+E(f295(x781,x783),f295(x782,x783))
% 201.34/201.11 [79]~E(x791,x792)+E(f295(x793,x791),f295(x793,x792))
% 201.34/201.11 [80]~E(x801,x802)+E(f38(x801,x803,x804),f38(x802,x803,x804))
% 201.34/201.11 [81]~E(x811,x812)+E(f38(x813,x811,x814),f38(x813,x812,x814))
% 201.34/201.11 [82]~E(x821,x822)+E(f38(x823,x824,x821),f38(x823,x824,x822))
% 201.34/201.11 [83]~E(x831,x832)+E(f60(x831,x833,x834),f60(x832,x833,x834))
% 201.34/201.11 [84]~E(x841,x842)+E(f60(x843,x841,x844),f60(x843,x842,x844))
% 201.34/201.11 [85]~E(x851,x852)+E(f60(x853,x854,x851),f60(x853,x854,x852))
% 201.34/201.11 [86]~E(x861,x862)+E(f131(x861,x863,x864,x865),f131(x862,x863,x864,x865))
% 201.34/201.11 [87]~E(x871,x872)+E(f131(x873,x871,x874,x875),f131(x873,x872,x874,x875))
% 201.34/201.11 [88]~E(x881,x882)+E(f131(x883,x884,x881,x885),f131(x883,x884,x882,x885))
% 201.34/201.11 [89]~E(x891,x892)+E(f131(x893,x894,x895,x891),f131(x893,x894,x895,x892))
% 201.34/201.11 [90]~E(x901,x902)+E(f297(x901),f297(x902))
% 201.34/201.11 [91]~E(x911,x912)+E(f53(x911),f53(x912))
% 201.34/201.11 [92]~E(x921,x922)+E(f9(x921,x923,x924),f9(x922,x923,x924))
% 201.34/201.11 [93]~E(x931,x932)+E(f9(x933,x931,x934),f9(x933,x932,x934))
% 201.34/201.11 [94]~E(x941,x942)+E(f9(x943,x944,x941),f9(x943,x944,x942))
% 201.34/201.11 [95]~E(x951,x952)+E(f224(x951),f224(x952))
% 201.34/201.11 [96]~E(x961,x962)+E(f279(x961),f279(x962))
% 201.34/201.11 [97]~E(x971,x972)+E(f140(x971),f140(x972))
% 201.34/201.11 [98]~E(x981,x982)+E(f239(x981,x983),f239(x982,x983))
% 201.34/201.11 [99]~E(x991,x992)+E(f239(x993,x991),f239(x993,x992))
% 201.34/201.11 [100]~E(x1001,x1002)+E(f230(x1001),f230(x1002))
% 201.34/201.11 [101]~E(x1011,x1012)+E(f130(x1011),f130(x1012))
% 201.34/201.11 [102]~E(x1021,x1022)+E(f143(x1021,x1023),f143(x1022,x1023))
% 201.34/201.11 [103]~E(x1031,x1032)+E(f143(x1033,x1031),f143(x1033,x1032))
% 201.34/201.11 [104]~E(x1041,x1042)+E(f307(x1041,x1043,x1044,x1045),f307(x1042,x1043,x1044,x1045))
% 201.34/201.11 [105]~E(x1051,x1052)+E(f307(x1053,x1051,x1054,x1055),f307(x1053,x1052,x1054,x1055))
% 201.34/201.11 [106]~E(x1061,x1062)+E(f307(x1063,x1064,x1061,x1065),f307(x1063,x1064,x1062,x1065))
% 201.34/201.11 [107]~E(x1071,x1072)+E(f307(x1073,x1074,x1075,x1071),f307(x1073,x1074,x1075,x1072))
% 201.34/201.11 [108]~E(x1081,x1082)+E(f167(x1081,x1083),f167(x1082,x1083))
% 201.34/201.11 [109]~E(x1091,x1092)+E(f167(x1093,x1091),f167(x1093,x1092))
% 201.34/201.11 [110]~E(x1101,x1102)+E(f102(x1101),f102(x1102))
% 201.34/201.11 [111]~E(x1111,x1112)+E(f30(x1111,x1113),f30(x1112,x1113))
% 201.34/201.11 [112]~E(x1121,x1122)+E(f30(x1123,x1121),f30(x1123,x1122))
% 201.34/201.11 [113]~E(x1131,x1132)+E(f123(x1131),f123(x1132))
% 201.34/201.11 [114]~E(x1141,x1142)+E(f709(x1141,x1143),f709(x1142,x1143))
% 201.34/201.11 [115]~E(x1151,x1152)+E(f709(x1153,x1151),f709(x1153,x1152))
% 201.34/201.11 [116]~E(x1161,x1162)+E(f41(x1161,x1163),f41(x1162,x1163))
% 201.34/201.11 [117]~E(x1171,x1172)+E(f41(x1173,x1171),f41(x1173,x1172))
% 201.34/201.11 [118]~E(x1181,x1182)+E(f174(x1181,x1183,x1184,x1185),f174(x1182,x1183,x1184,x1185))
% 201.34/201.11 [119]~E(x1191,x1192)+E(f174(x1193,x1191,x1194,x1195),f174(x1193,x1192,x1194,x1195))
% 201.34/201.11 [120]~E(x1201,x1202)+E(f174(x1203,x1204,x1201,x1205),f174(x1203,x1204,x1202,x1205))
% 201.34/201.11 [121]~E(x1211,x1212)+E(f174(x1213,x1214,x1215,x1211),f174(x1213,x1214,x1215,x1212))
% 201.34/201.11 [122]~E(x1221,x1222)+E(f136(x1221,x1223),f136(x1222,x1223))
% 201.34/201.11 [123]~E(x1231,x1232)+E(f136(x1233,x1231),f136(x1233,x1232))
% 201.34/201.11 [124]~E(x1241,x1242)+E(f309(x1241,x1243,x1244),f309(x1242,x1243,x1244))
% 201.34/201.11 [125]~E(x1251,x1252)+E(f309(x1253,x1251,x1254),f309(x1253,x1252,x1254))
% 201.34/201.11 [126]~E(x1261,x1262)+E(f309(x1263,x1264,x1261),f309(x1263,x1264,x1262))
% 201.34/201.11 [127]~E(x1271,x1272)+E(f69(x1271),f69(x1272))
% 201.34/201.11 [128]~E(x1281,x1282)+E(f232(x1281),f232(x1282))
% 201.34/201.11 [129]~E(x1291,x1292)+E(f658(x1291,x1293,x1294,x1295),f658(x1292,x1293,x1294,x1295))
% 201.34/201.11 [130]~E(x1301,x1302)+E(f658(x1303,x1301,x1304,x1305),f658(x1303,x1302,x1304,x1305))
% 201.34/201.11 [131]~E(x1311,x1312)+E(f658(x1313,x1314,x1311,x1315),f658(x1313,x1314,x1312,x1315))
% 201.34/201.11 [132]~E(x1321,x1322)+E(f658(x1323,x1324,x1325,x1321),f658(x1323,x1324,x1325,x1322))
% 201.34/201.11 [133]~E(x1331,x1332)+E(f485(x1331),f485(x1332))
% 201.34/201.11 [134]~E(x1341,x1342)+E(f672(x1341,x1343,x1344,x1345,x1346),f672(x1342,x1343,x1344,x1345,x1346))
% 201.34/201.11 [135]~E(x1351,x1352)+E(f672(x1353,x1351,x1354,x1355,x1356),f672(x1353,x1352,x1354,x1355,x1356))
% 201.34/201.11 [136]~E(x1361,x1362)+E(f672(x1363,x1364,x1361,x1365,x1366),f672(x1363,x1364,x1362,x1365,x1366))
% 201.34/201.11 [137]~E(x1371,x1372)+E(f672(x1373,x1374,x1375,x1371,x1376),f672(x1373,x1374,x1375,x1372,x1376))
% 201.34/201.11 [138]~E(x1381,x1382)+E(f672(x1383,x1384,x1385,x1386,x1381),f672(x1383,x1384,x1385,x1386,x1382))
% 201.34/201.11 [139]~E(x1391,x1392)+E(f94(x1391),f94(x1392))
% 201.34/201.11 [140]~E(x1401,x1402)+E(f95(x1401),f95(x1402))
% 201.34/201.11 [141]~E(x1411,x1412)+E(f316(x1411),f316(x1412))
% 201.34/201.11 [142]~E(x1421,x1422)+E(f769(x1421),f769(x1422))
% 201.34/201.11 [143]~E(x1431,x1432)+E(f557(x1431),f557(x1432))
% 201.34/201.11 [144]~E(x1441,x1442)+E(f242(x1441,x1443),f242(x1442,x1443))
% 201.34/201.11 [145]~E(x1451,x1452)+E(f242(x1453,x1451),f242(x1453,x1452))
% 201.34/201.11 [146]~E(x1461,x1462)+E(f246(x1461,x1463,x1464,x1465,x1466,x1467),f246(x1462,x1463,x1464,x1465,x1466,x1467))
% 201.34/201.11 [147]~E(x1471,x1472)+E(f246(x1473,x1471,x1474,x1475,x1476,x1477),f246(x1473,x1472,x1474,x1475,x1476,x1477))
% 201.34/201.11 [148]~E(x1481,x1482)+E(f246(x1483,x1484,x1481,x1485,x1486,x1487),f246(x1483,x1484,x1482,x1485,x1486,x1487))
% 201.34/201.11 [149]~E(x1491,x1492)+E(f246(x1493,x1494,x1495,x1491,x1496,x1497),f246(x1493,x1494,x1495,x1492,x1496,x1497))
% 201.34/201.11 [150]~E(x1501,x1502)+E(f246(x1503,x1504,x1505,x1506,x1501,x1507),f246(x1503,x1504,x1505,x1506,x1502,x1507))
% 201.34/201.11 [151]~E(x1511,x1512)+E(f246(x1513,x1514,x1515,x1516,x1517,x1511),f246(x1513,x1514,x1515,x1516,x1517,x1512))
% 201.34/201.11 [152]~E(x1521,x1522)+E(f229(x1521,x1523),f229(x1522,x1523))
% 201.34/201.11 [153]~E(x1531,x1532)+E(f229(x1533,x1531),f229(x1533,x1532))
% 201.34/201.11 [154]~E(x1541,x1542)+E(f273(x1541,x1543,x1544),f273(x1542,x1543,x1544))
% 201.34/201.11 [155]~E(x1551,x1552)+E(f273(x1553,x1551,x1554),f273(x1553,x1552,x1554))
% 201.34/201.11 [156]~E(x1561,x1562)+E(f273(x1563,x1564,x1561),f273(x1563,x1564,x1562))
% 201.34/201.11 [157]~E(x1571,x1572)+E(f240(x1571,x1573),f240(x1572,x1573))
% 201.34/201.11 [158]~E(x1581,x1582)+E(f240(x1583,x1581),f240(x1583,x1582))
% 201.34/201.11 [159]~E(x1591,x1592)+E(f157(x1591),f157(x1592))
% 201.34/201.11 [160]~E(x1601,x1602)+E(f29(x1601),f29(x1602))
% 201.34/201.11 [161]~E(x1611,x1612)+E(f7(x1611),f7(x1612))
% 201.34/201.11 [162]~E(x1621,x1622)+E(f290(x1621,x1623),f290(x1622,x1623))
% 201.34/201.11 [163]~E(x1631,x1632)+E(f290(x1633,x1631),f290(x1633,x1632))
% 201.34/201.11 [164]~E(x1641,x1642)+E(f275(x1641),f275(x1642))
% 201.34/201.11 [165]~E(x1651,x1652)+E(f274(x1651,x1653),f274(x1652,x1653))
% 201.34/201.11 [166]~E(x1661,x1662)+E(f274(x1663,x1661),f274(x1663,x1662))
% 201.34/201.11 [167]~E(x1671,x1672)+E(f172(x1671,x1673),f172(x1672,x1673))
% 201.34/201.11 [168]~E(x1681,x1682)+E(f172(x1683,x1681),f172(x1683,x1682))
% 201.34/201.11 [169]~E(x1691,x1692)+E(f12(x1691,x1693),f12(x1692,x1693))
% 201.34/201.11 [170]~E(x1701,x1702)+E(f12(x1703,x1701),f12(x1703,x1702))
% 201.34/201.11 [171]~E(x1711,x1712)+E(f126(x1711),f126(x1712))
% 201.34/201.11 [172]~E(x1721,x1722)+E(f58(x1721,x1723,x1724),f58(x1722,x1723,x1724))
% 201.34/201.11 [173]~E(x1731,x1732)+E(f58(x1733,x1731,x1734),f58(x1733,x1732,x1734))
% 201.34/201.11 [174]~E(x1741,x1742)+E(f58(x1743,x1744,x1741),f58(x1743,x1744,x1742))
% 201.34/201.11 [175]~E(x1751,x1752)+E(f278(x1751,x1753,x1754,x1755),f278(x1752,x1753,x1754,x1755))
% 201.34/201.11 [176]~E(x1761,x1762)+E(f278(x1763,x1761,x1764,x1765),f278(x1763,x1762,x1764,x1765))
% 201.34/201.11 [177]~E(x1771,x1772)+E(f278(x1773,x1774,x1771,x1775),f278(x1773,x1774,x1772,x1775))
% 201.34/201.11 [178]~E(x1781,x1782)+E(f278(x1783,x1784,x1785,x1781),f278(x1783,x1784,x1785,x1782))
% 201.34/201.11 [179]~E(x1791,x1792)+E(f625(x1791,x1793,x1794),f625(x1792,x1793,x1794))
% 201.34/201.11 [180]~E(x1801,x1802)+E(f625(x1803,x1801,x1804),f625(x1803,x1802,x1804))
% 201.34/201.11 [181]~E(x1811,x1812)+E(f625(x1813,x1814,x1811),f625(x1813,x1814,x1812))
% 201.34/201.11 [182]~E(x1821,x1822)+E(f349(x1821,x1823,x1824),f349(x1822,x1823,x1824))
% 201.34/201.11 [183]~E(x1831,x1832)+E(f349(x1833,x1831,x1834),f349(x1833,x1832,x1834))
% 201.34/201.11 [184]~E(x1841,x1842)+E(f349(x1843,x1844,x1841),f349(x1843,x1844,x1842))
% 201.34/201.11 [185]~E(x1851,x1852)+E(f85(x1851),f85(x1852))
% 201.34/201.11 [186]~E(x1861,x1862)+E(f809(x1861,x1863,x1864,x1865),f809(x1862,x1863,x1864,x1865))
% 201.34/201.11 [187]~E(x1871,x1872)+E(f809(x1873,x1871,x1874,x1875),f809(x1873,x1872,x1874,x1875))
% 201.34/201.11 [188]~E(x1881,x1882)+E(f809(x1883,x1884,x1881,x1885),f809(x1883,x1884,x1882,x1885))
% 201.34/201.11 [189]~E(x1891,x1892)+E(f809(x1893,x1894,x1895,x1891),f809(x1893,x1894,x1895,x1892))
% 201.34/201.11 [190]~E(x1901,x1902)+E(f284(x1901,x1903,x1904),f284(x1902,x1903,x1904))
% 201.34/201.11 [191]~E(x1911,x1912)+E(f284(x1913,x1911,x1914),f284(x1913,x1912,x1914))
% 201.34/201.11 [192]~E(x1921,x1922)+E(f284(x1923,x1924,x1921),f284(x1923,x1924,x1922))
% 201.34/201.11 [193]~E(x1931,x1932)+E(f56(x1931,x1933),f56(x1932,x1933))
% 201.34/201.11 [194]~E(x1941,x1942)+E(f56(x1943,x1941),f56(x1943,x1942))
% 201.34/201.11 [195]~E(x1951,x1952)+E(f14(x1951,x1953,x1954),f14(x1952,x1953,x1954))
% 201.34/201.11 [196]~E(x1961,x1962)+E(f14(x1963,x1961,x1964),f14(x1963,x1962,x1964))
% 201.34/201.11 [197]~E(x1971,x1972)+E(f14(x1973,x1974,x1971),f14(x1973,x1974,x1972))
% 201.34/201.11 [198]~E(x1981,x1982)+E(f18(x1981,x1983),f18(x1982,x1983))
% 201.34/201.11 [199]~E(x1991,x1992)+E(f18(x1993,x1991),f18(x1993,x1992))
% 201.34/201.11 [200]~E(x2001,x2002)+E(f244(x2001,x2003),f244(x2002,x2003))
% 201.34/201.11 [201]~E(x2011,x2012)+E(f244(x2013,x2011),f244(x2013,x2012))
% 201.34/201.11 [202]~E(x2021,x2022)+E(f28(x2021),f28(x2022))
% 201.34/201.11 [203]~E(x2031,x2032)+E(f296(x2031),f296(x2032))
% 201.34/201.11 [204]~E(x2041,x2042)+E(f245(x2041,x2043,x2044),f245(x2042,x2043,x2044))
% 201.34/201.11 [205]~E(x2051,x2052)+E(f245(x2053,x2051,x2054),f245(x2053,x2052,x2054))
% 201.34/201.11 [206]~E(x2061,x2062)+E(f245(x2063,x2064,x2061),f245(x2063,x2064,x2062))
% 201.34/201.11 [207]~E(x2071,x2072)+E(f277(x2071,x2073,x2074),f277(x2072,x2073,x2074))
% 201.34/201.11 [208]~E(x2081,x2082)+E(f277(x2083,x2081,x2084),f277(x2083,x2082,x2084))
% 201.34/201.11 [209]~E(x2091,x2092)+E(f277(x2093,x2094,x2091),f277(x2093,x2094,x2092))
% 201.34/201.11 [210]~E(x2101,x2102)+E(f32(x2101,x2103),f32(x2102,x2103))
% 201.34/201.11 [211]~E(x2111,x2112)+E(f32(x2113,x2111),f32(x2113,x2112))
% 201.34/201.11 [212]~E(x2121,x2122)+E(f155(x2121,x2123,x2124),f155(x2122,x2123,x2124))
% 201.34/201.11 [213]~E(x2131,x2132)+E(f155(x2133,x2131,x2134),f155(x2133,x2132,x2134))
% 201.34/201.11 [214]~E(x2141,x2142)+E(f155(x2143,x2144,x2141),f155(x2143,x2144,x2142))
% 201.34/201.11 [215]~E(x2151,x2152)+E(f36(x2151),f36(x2152))
% 201.34/201.11 [216]~E(x2161,x2162)+E(f639(x2161,x2163,x2164,x2165),f639(x2162,x2163,x2164,x2165))
% 201.34/201.11 [217]~E(x2171,x2172)+E(f639(x2173,x2171,x2174,x2175),f639(x2173,x2172,x2174,x2175))
% 201.34/201.11 [218]~E(x2181,x2182)+E(f639(x2183,x2184,x2181,x2185),f639(x2183,x2184,x2182,x2185))
% 201.34/201.11 [219]~E(x2191,x2192)+E(f639(x2193,x2194,x2195,x2191),f639(x2193,x2194,x2195,x2192))
% 201.34/201.11 [220]~E(x2201,x2202)+E(f79(x2201,x2203),f79(x2202,x2203))
% 201.34/201.11 [221]~E(x2211,x2212)+E(f79(x2213,x2211),f79(x2213,x2212))
% 201.34/201.11 [222]~E(x2221,x2222)+E(f542(x2221,x2223,x2224,x2225),f542(x2222,x2223,x2224,x2225))
% 201.34/201.11 [223]~E(x2231,x2232)+E(f542(x2233,x2231,x2234,x2235),f542(x2233,x2232,x2234,x2235))
% 201.34/201.11 [224]~E(x2241,x2242)+E(f542(x2243,x2244,x2241,x2245),f542(x2243,x2244,x2242,x2245))
% 201.34/201.11 [225]~E(x2251,x2252)+E(f542(x2253,x2254,x2255,x2251),f542(x2253,x2254,x2255,x2252))
% 201.34/201.11 [226]~E(x2261,x2262)+E(f435(x2261,x2263,x2264,x2265),f435(x2262,x2263,x2264,x2265))
% 201.34/201.11 [227]~E(x2271,x2272)+E(f435(x2273,x2271,x2274,x2275),f435(x2273,x2272,x2274,x2275))
% 201.34/201.11 [228]~E(x2281,x2282)+E(f435(x2283,x2284,x2281,x2285),f435(x2283,x2284,x2282,x2285))
% 201.34/201.11 [229]~E(x2291,x2292)+E(f435(x2293,x2294,x2295,x2291),f435(x2293,x2294,x2295,x2292))
% 201.34/201.11 [230]~E(x2301,x2302)+E(f33(x2301,x2303),f33(x2302,x2303))
% 201.34/201.11 [231]~E(x2311,x2312)+E(f33(x2313,x2311),f33(x2313,x2312))
% 201.34/201.11 [232]~E(x2321,x2322)+E(f66(x2321,x2323,x2324,x2325),f66(x2322,x2323,x2324,x2325))
% 201.34/201.11 [233]~E(x2331,x2332)+E(f66(x2333,x2331,x2334,x2335),f66(x2333,x2332,x2334,x2335))
% 201.34/201.11 [234]~E(x2341,x2342)+E(f66(x2343,x2344,x2341,x2345),f66(x2343,x2344,x2342,x2345))
% 201.34/201.11 [235]~E(x2351,x2352)+E(f66(x2353,x2354,x2355,x2351),f66(x2353,x2354,x2355,x2352))
% 201.34/201.11 [236]~E(x2361,x2362)+E(f165(x2361,x2363,x2364),f165(x2362,x2363,x2364))
% 201.34/201.11 [237]~E(x2371,x2372)+E(f165(x2373,x2371,x2374),f165(x2373,x2372,x2374))
% 201.34/201.11 [238]~E(x2381,x2382)+E(f165(x2383,x2384,x2381),f165(x2383,x2384,x2382))
% 201.34/201.11 [239]~E(x2391,x2392)+E(f721(x2391,x2393,x2394,x2395,x2396),f721(x2392,x2393,x2394,x2395,x2396))
% 201.34/201.11 [240]~E(x2401,x2402)+E(f721(x2403,x2401,x2404,x2405,x2406),f721(x2403,x2402,x2404,x2405,x2406))
% 201.34/201.11 [241]~E(x2411,x2412)+E(f721(x2413,x2414,x2411,x2415,x2416),f721(x2413,x2414,x2412,x2415,x2416))
% 201.34/201.11 [242]~E(x2421,x2422)+E(f721(x2423,x2424,x2425,x2421,x2426),f721(x2423,x2424,x2425,x2422,x2426))
% 201.34/201.11 [243]~E(x2431,x2432)+E(f721(x2433,x2434,x2435,x2436,x2431),f721(x2433,x2434,x2435,x2436,x2432))
% 201.34/201.11 [244]~E(x2441,x2442)+E(f634(x2441,x2443,x2444,x2445,x2446),f634(x2442,x2443,x2444,x2445,x2446))
% 201.34/201.11 [245]~E(x2451,x2452)+E(f634(x2453,x2451,x2454,x2455,x2456),f634(x2453,x2452,x2454,x2455,x2456))
% 201.34/201.11 [246]~E(x2461,x2462)+E(f634(x2463,x2464,x2461,x2465,x2466),f634(x2463,x2464,x2462,x2465,x2466))
% 201.34/201.11 [247]~E(x2471,x2472)+E(f634(x2473,x2474,x2475,x2471,x2476),f634(x2473,x2474,x2475,x2472,x2476))
% 201.34/201.11 [248]~E(x2481,x2482)+E(f634(x2483,x2484,x2485,x2486,x2481),f634(x2483,x2484,x2485,x2486,x2482))
% 201.34/201.11 [249]~E(x2491,x2492)+E(f201(x2491),f201(x2492))
% 201.34/201.11 [250]~E(x2501,x2502)+E(f572(x2501,x2503,x2504,x2505,x2506,x2507,x2508,x2509),f572(x2502,x2503,x2504,x2505,x2506,x2507,x2508,x2509))
% 201.34/201.11 [251]~E(x2511,x2512)+E(f572(x2513,x2511,x2514,x2515,x2516,x2517,x2518,x2519),f572(x2513,x2512,x2514,x2515,x2516,x2517,x2518,x2519))
% 201.34/201.11 [252]~E(x2521,x2522)+E(f572(x2523,x2524,x2521,x2525,x2526,x2527,x2528,x2529),f572(x2523,x2524,x2522,x2525,x2526,x2527,x2528,x2529))
% 201.34/201.11 [253]~E(x2531,x2532)+E(f572(x2533,x2534,x2535,x2531,x2536,x2537,x2538,x2539),f572(x2533,x2534,x2535,x2532,x2536,x2537,x2538,x2539))
% 201.34/201.11 [254]~E(x2541,x2542)+E(f572(x2543,x2544,x2545,x2546,x2541,x2547,x2548,x2549),f572(x2543,x2544,x2545,x2546,x2542,x2547,x2548,x2549))
% 201.34/201.11 [255]~E(x2551,x2552)+E(f572(x2553,x2554,x2555,x2556,x2557,x2551,x2558,x2559),f572(x2553,x2554,x2555,x2556,x2557,x2552,x2558,x2559))
% 201.34/201.11 [256]~E(x2561,x2562)+E(f572(x2563,x2564,x2565,x2566,x2567,x2568,x2561,x2569),f572(x2563,x2564,x2565,x2566,x2567,x2568,x2562,x2569))
% 201.34/201.11 [257]~E(x2571,x2572)+E(f572(x2573,x2574,x2575,x2576,x2577,x2578,x2579,x2571),f572(x2573,x2574,x2575,x2576,x2577,x2578,x2579,x2572))
% 201.34/201.11 [258]~E(x2581,x2582)+E(f754(x2581,x2583,x2584,x2585),f754(x2582,x2583,x2584,x2585))
% 201.34/201.11 [259]~E(x2591,x2592)+E(f754(x2593,x2591,x2594,x2595),f754(x2593,x2592,x2594,x2595))
% 201.34/201.11 [260]~E(x2601,x2602)+E(f754(x2603,x2604,x2601,x2605),f754(x2603,x2604,x2602,x2605))
% 201.34/201.11 [261]~E(x2611,x2612)+E(f754(x2613,x2614,x2615,x2611),f754(x2613,x2614,x2615,x2612))
% 201.34/201.11 [262]~E(x2621,x2622)+E(f103(x2621,x2623),f103(x2622,x2623))
% 201.34/201.11 [263]~E(x2631,x2632)+E(f103(x2633,x2631),f103(x2633,x2632))
% 201.34/201.11 [264]~E(x2641,x2642)+E(f410(x2641,x2643,x2644,x2645,x2646),f410(x2642,x2643,x2644,x2645,x2646))
% 201.34/201.11 [265]~E(x2651,x2652)+E(f410(x2653,x2651,x2654,x2655,x2656),f410(x2653,x2652,x2654,x2655,x2656))
% 201.34/201.11 [266]~E(x2661,x2662)+E(f410(x2663,x2664,x2661,x2665,x2666),f410(x2663,x2664,x2662,x2665,x2666))
% 201.34/201.11 [267]~E(x2671,x2672)+E(f410(x2673,x2674,x2675,x2671,x2676),f410(x2673,x2674,x2675,x2672,x2676))
% 201.34/201.11 [268]~E(x2681,x2682)+E(f410(x2683,x2684,x2685,x2686,x2681),f410(x2683,x2684,x2685,x2686,x2682))
% 201.34/201.11 [269]~E(x2691,x2692)+E(f158(x2691,x2693,x2694),f158(x2692,x2693,x2694))
% 201.34/201.11 [270]~E(x2701,x2702)+E(f158(x2703,x2701,x2704),f158(x2703,x2702,x2704))
% 201.34/201.11 [271]~E(x2711,x2712)+E(f158(x2713,x2714,x2711),f158(x2713,x2714,x2712))
% 201.34/201.11 [272]~E(x2721,x2722)+E(f141(x2721,x2723),f141(x2722,x2723))
% 201.34/201.11 [273]~E(x2731,x2732)+E(f141(x2733,x2731),f141(x2733,x2732))
% 201.34/201.11 [274]~E(x2741,x2742)+E(f252(x2741,x2743),f252(x2742,x2743))
% 201.34/201.11 [275]~E(x2751,x2752)+E(f252(x2753,x2751),f252(x2753,x2752))
% 201.34/201.11 [276]~E(x2761,x2762)+E(f180(x2761),f180(x2762))
% 201.34/201.11 [277]~E(x2771,x2772)+E(f42(x2771,x2773),f42(x2772,x2773))
% 201.34/201.11 [278]~E(x2781,x2782)+E(f42(x2783,x2781),f42(x2783,x2782))
% 201.34/201.11 [279]~E(x2791,x2792)+E(f104(x2791),f104(x2792))
% 201.34/201.11 [280]~E(x2801,x2802)+E(f899(x2801,x2803),f899(x2802,x2803))
% 201.34/201.11 [281]~E(x2811,x2812)+E(f899(x2813,x2811),f899(x2813,x2812))
% 201.34/201.11 [282]~E(x2821,x2822)+E(f898(x2821,x2823),f898(x2822,x2823))
% 201.34/201.11 [283]~E(x2831,x2832)+E(f898(x2833,x2831),f898(x2833,x2832))
% 201.34/201.11 [284]~E(x2841,x2842)+E(f499(x2841,x2843,x2844,x2845),f499(x2842,x2843,x2844,x2845))
% 201.34/201.11 [285]~E(x2851,x2852)+E(f499(x2853,x2851,x2854,x2855),f499(x2853,x2852,x2854,x2855))
% 201.34/201.11 [286]~E(x2861,x2862)+E(f499(x2863,x2864,x2861,x2865),f499(x2863,x2864,x2862,x2865))
% 201.34/201.11 [287]~E(x2871,x2872)+E(f499(x2873,x2874,x2875,x2871),f499(x2873,x2874,x2875,x2872))
% 201.34/201.11 [288]~E(x2881,x2882)+E(f156(x2881),f156(x2882))
% 201.34/201.11 [289]~E(x2891,x2892)+E(f621(x2891,x2893,x2894,x2895,x2896),f621(x2892,x2893,x2894,x2895,x2896))
% 201.34/201.11 [290]~E(x2901,x2902)+E(f621(x2903,x2901,x2904,x2905,x2906),f621(x2903,x2902,x2904,x2905,x2906))
% 201.34/201.11 [291]~E(x2911,x2912)+E(f621(x2913,x2914,x2911,x2915,x2916),f621(x2913,x2914,x2912,x2915,x2916))
% 201.34/201.11 [292]~E(x2921,x2922)+E(f621(x2923,x2924,x2925,x2921,x2926),f621(x2923,x2924,x2925,x2922,x2926))
% 201.34/201.11 [293]~E(x2931,x2932)+E(f621(x2933,x2934,x2935,x2936,x2931),f621(x2933,x2934,x2935,x2936,x2932))
% 201.34/201.11 [294]~E(x2941,x2942)+E(f842(x2941,x2943,x2944),f842(x2942,x2943,x2944))
% 201.34/201.11 [295]~E(x2951,x2952)+E(f842(x2953,x2951,x2954),f842(x2953,x2952,x2954))
% 201.34/201.11 [296]~E(x2961,x2962)+E(f842(x2963,x2964,x2961),f842(x2963,x2964,x2962))
% 201.34/201.11 [297]~E(x2971,x2972)+E(f682(x2971,x2973,x2974),f682(x2972,x2973,x2974))
% 201.34/201.11 [298]~E(x2981,x2982)+E(f682(x2983,x2981,x2984),f682(x2983,x2982,x2984))
% 201.34/201.11 [299]~E(x2991,x2992)+E(f682(x2993,x2994,x2991),f682(x2993,x2994,x2992))
% 201.34/201.11 [300]~E(x3001,x3002)+E(f15(x3001,x3003,x3004),f15(x3002,x3003,x3004))
% 201.34/201.11 [301]~E(x3011,x3012)+E(f15(x3013,x3011,x3014),f15(x3013,x3012,x3014))
% 201.34/201.11 [302]~E(x3021,x3022)+E(f15(x3023,x3024,x3021),f15(x3023,x3024,x3022))
% 201.34/201.11 [303]~E(x3031,x3032)+E(f622(x3031,x3033,x3034,x3035,x3036,x3037),f622(x3032,x3033,x3034,x3035,x3036,x3037))
% 201.34/201.11 [304]~E(x3041,x3042)+E(f622(x3043,x3041,x3044,x3045,x3046,x3047),f622(x3043,x3042,x3044,x3045,x3046,x3047))
% 201.34/201.11 [305]~E(x3051,x3052)+E(f622(x3053,x3054,x3051,x3055,x3056,x3057),f622(x3053,x3054,x3052,x3055,x3056,x3057))
% 201.34/201.11 [306]~E(x3061,x3062)+E(f622(x3063,x3064,x3065,x3061,x3066,x3067),f622(x3063,x3064,x3065,x3062,x3066,x3067))
% 201.34/201.11 [307]~E(x3071,x3072)+E(f622(x3073,x3074,x3075,x3076,x3071,x3077),f622(x3073,x3074,x3075,x3076,x3072,x3077))
% 201.34/201.11 [308]~E(x3081,x3082)+E(f622(x3083,x3084,x3085,x3086,x3087,x3081),f622(x3083,x3084,x3085,x3086,x3087,x3082))
% 201.34/201.11 [309]~E(x3091,x3092)+E(f341(x3091),f341(x3092))
% 201.34/201.11 [310]~E(x3101,x3102)+E(f607(x3101,x3103,x3104,x3105,x3106),f607(x3102,x3103,x3104,x3105,x3106))
% 201.34/201.11 [311]~E(x3111,x3112)+E(f607(x3113,x3111,x3114,x3115,x3116),f607(x3113,x3112,x3114,x3115,x3116))
% 201.34/201.11 [312]~E(x3121,x3122)+E(f607(x3123,x3124,x3121,x3125,x3126),f607(x3123,x3124,x3122,x3125,x3126))
% 201.34/201.11 [313]~E(x3131,x3132)+E(f607(x3133,x3134,x3135,x3131,x3136),f607(x3133,x3134,x3135,x3132,x3136))
% 201.34/201.11 [314]~E(x3141,x3142)+E(f607(x3143,x3144,x3145,x3146,x3141),f607(x3143,x3144,x3145,x3146,x3142))
% 201.34/201.11 [315]~E(x3151,x3152)+E(f304(x3151,x3153),f304(x3152,x3153))
% 201.34/201.11 [316]~E(x3161,x3162)+E(f304(x3163,x3161),f304(x3163,x3162))
% 201.34/201.11 [317]~E(x3171,x3172)+E(f263(x3171,x3173),f263(x3172,x3173))
% 201.34/201.11 [318]~E(x3181,x3182)+E(f263(x3183,x3181),f263(x3183,x3182))
% 201.34/201.11 [319]~E(x3191,x3192)+E(f139(x3191,x3193,x3194,x3195),f139(x3192,x3193,x3194,x3195))
% 201.34/201.11 [320]~E(x3201,x3202)+E(f139(x3203,x3201,x3204,x3205),f139(x3203,x3202,x3204,x3205))
% 201.34/201.11 [321]~E(x3211,x3212)+E(f139(x3213,x3214,x3211,x3215),f139(x3213,x3214,x3212,x3215))
% 201.34/201.11 [322]~E(x3221,x3222)+E(f139(x3223,x3224,x3225,x3221),f139(x3223,x3224,x3225,x3222))
% 201.34/201.11 [323]~E(x3231,x3232)+E(f150(x3231,x3233),f150(x3232,x3233))
% 201.34/201.11 [324]~E(x3241,x3242)+E(f150(x3243,x3241),f150(x3243,x3242))
% 201.34/201.11 [325]~E(x3251,x3252)+E(f352(x3251,x3253,x3254),f352(x3252,x3253,x3254))
% 201.34/201.11 [326]~E(x3261,x3262)+E(f352(x3263,x3261,x3264),f352(x3263,x3262,x3264))
% 201.34/201.11 [327]~E(x3271,x3272)+E(f352(x3273,x3274,x3271),f352(x3273,x3274,x3272))
% 201.34/201.11 [328]~E(x3281,x3282)+E(f70(x3281,x3283,x3284,x3285),f70(x3282,x3283,x3284,x3285))
% 201.34/201.11 [329]~E(x3291,x3292)+E(f70(x3293,x3291,x3294,x3295),f70(x3293,x3292,x3294,x3295))
% 201.34/201.11 [330]~E(x3301,x3302)+E(f70(x3303,x3304,x3301,x3305),f70(x3303,x3304,x3302,x3305))
% 201.34/201.11 [331]~E(x3311,x3312)+E(f70(x3313,x3314,x3315,x3311),f70(x3313,x3314,x3315,x3312))
% 201.34/201.11 [332]~E(x3321,x3322)+E(f147(x3321,x3323),f147(x3322,x3323))
% 201.34/201.11 [333]~E(x3331,x3332)+E(f147(x3333,x3331),f147(x3333,x3332))
% 201.34/201.11 [334]~E(x3341,x3342)+E(f31(x3341,x3343),f31(x3342,x3343))
% 201.34/201.11 [335]~E(x3351,x3352)+E(f31(x3353,x3351),f31(x3353,x3352))
% 201.34/201.11 [336]~E(x3361,x3362)+E(f299(x3361,x3363,x3364),f299(x3362,x3363,x3364))
% 201.34/201.11 [337]~E(x3371,x3372)+E(f299(x3373,x3371,x3374),f299(x3373,x3372,x3374))
% 201.34/201.11 [338]~E(x3381,x3382)+E(f299(x3383,x3384,x3381),f299(x3383,x3384,x3382))
% 201.34/201.11 [339]~E(x3391,x3392)+E(f306(x3391,x3393),f306(x3392,x3393))
% 201.34/201.11 [340]~E(x3401,x3402)+E(f306(x3403,x3401),f306(x3403,x3402))
% 201.34/201.11 [341]~E(x3411,x3412)+E(f394(x3411,x3413),f394(x3412,x3413))
% 201.34/201.11 [342]~E(x3421,x3422)+E(f394(x3423,x3421),f394(x3423,x3422))
% 201.34/201.11 [343]~E(x3431,x3432)+E(f308(x3431,x3433),f308(x3432,x3433))
% 201.34/201.11 [344]~E(x3441,x3442)+E(f308(x3443,x3441),f308(x3443,x3442))
% 201.34/201.11 [345]~E(x3451,x3452)+E(f355(x3451,x3453,x3454),f355(x3452,x3453,x3454))
% 201.34/201.11 [346]~E(x3461,x3462)+E(f355(x3463,x3461,x3464),f355(x3463,x3462,x3464))
% 201.34/201.11 [347]~E(x3471,x3472)+E(f355(x3473,x3474,x3471),f355(x3473,x3474,x3472))
% 201.34/201.11 [348]~E(x3481,x3482)+E(f214(x3481,x3483,x3484,x3485,x3486),f214(x3482,x3483,x3484,x3485,x3486))
% 201.34/201.11 [349]~E(x3491,x3492)+E(f214(x3493,x3491,x3494,x3495,x3496),f214(x3493,x3492,x3494,x3495,x3496))
% 201.34/201.11 [350]~E(x3501,x3502)+E(f214(x3503,x3504,x3501,x3505,x3506),f214(x3503,x3504,x3502,x3505,x3506))
% 201.34/201.11 [351]~E(x3511,x3512)+E(f214(x3513,x3514,x3515,x3511,x3516),f214(x3513,x3514,x3515,x3512,x3516))
% 201.34/201.11 [352]~E(x3521,x3522)+E(f214(x3523,x3524,x3525,x3526,x3521),f214(x3523,x3524,x3525,x3526,x3522))
% 201.34/201.11 [353]~E(x3531,x3532)+E(f710(x3531,x3533,x3534,x3535,x3536,x3537,x3538),f710(x3532,x3533,x3534,x3535,x3536,x3537,x3538))
% 201.34/201.11 [354]~E(x3541,x3542)+E(f710(x3543,x3541,x3544,x3545,x3546,x3547,x3548),f710(x3543,x3542,x3544,x3545,x3546,x3547,x3548))
% 201.34/201.11 [355]~E(x3551,x3552)+E(f710(x3553,x3554,x3551,x3555,x3556,x3557,x3558),f710(x3553,x3554,x3552,x3555,x3556,x3557,x3558))
% 201.34/201.11 [356]~E(x3561,x3562)+E(f710(x3563,x3564,x3565,x3561,x3566,x3567,x3568),f710(x3563,x3564,x3565,x3562,x3566,x3567,x3568))
% 201.34/201.11 [357]~E(x3571,x3572)+E(f710(x3573,x3574,x3575,x3576,x3571,x3577,x3578),f710(x3573,x3574,x3575,x3576,x3572,x3577,x3578))
% 201.34/201.11 [358]~E(x3581,x3582)+E(f710(x3583,x3584,x3585,x3586,x3587,x3581,x3588),f710(x3583,x3584,x3585,x3586,x3587,x3582,x3588))
% 201.34/201.11 [359]~E(x3591,x3592)+E(f710(x3593,x3594,x3595,x3596,x3597,x3598,x3591),f710(x3593,x3594,x3595,x3596,x3597,x3598,x3592))
% 201.34/201.11 [360]~E(x3601,x3602)+E(f757(x3601,x3603,x3604,x3605,x3606),f757(x3602,x3603,x3604,x3605,x3606))
% 201.34/201.11 [361]~E(x3611,x3612)+E(f757(x3613,x3611,x3614,x3615,x3616),f757(x3613,x3612,x3614,x3615,x3616))
% 201.34/201.11 [362]~E(x3621,x3622)+E(f757(x3623,x3624,x3621,x3625,x3626),f757(x3623,x3624,x3622,x3625,x3626))
% 201.34/201.11 [363]~E(x3631,x3632)+E(f757(x3633,x3634,x3635,x3631,x3636),f757(x3633,x3634,x3635,x3632,x3636))
% 201.34/201.11 [364]~E(x3641,x3642)+E(f757(x3643,x3644,x3645,x3646,x3641),f757(x3643,x3644,x3645,x3646,x3642))
% 201.34/201.11 [365]~E(x3651,x3652)+E(f146(x3651,x3653),f146(x3652,x3653))
% 201.34/201.11 [366]~E(x3661,x3662)+E(f146(x3663,x3661),f146(x3663,x3662))
% 201.34/201.11 [367]~E(x3671,x3672)+E(f343(x3671),f343(x3672))
% 201.34/201.11 [368]~E(x3681,x3682)+E(f833(x3681,x3683,x3684),f833(x3682,x3683,x3684))
% 201.34/201.11 [369]~E(x3691,x3692)+E(f833(x3693,x3691,x3694),f833(x3693,x3692,x3694))
% 201.34/201.11 [370]~E(x3701,x3702)+E(f833(x3703,x3704,x3701),f833(x3703,x3704,x3702))
% 201.34/201.11 [371]~E(x3711,x3712)+E(f370(x3711,x3713,x3714,x3715,x3716,x3717,x3718),f370(x3712,x3713,x3714,x3715,x3716,x3717,x3718))
% 201.34/201.11 [372]~E(x3721,x3722)+E(f370(x3723,x3721,x3724,x3725,x3726,x3727,x3728),f370(x3723,x3722,x3724,x3725,x3726,x3727,x3728))
% 201.34/201.11 [373]~E(x3731,x3732)+E(f370(x3733,x3734,x3731,x3735,x3736,x3737,x3738),f370(x3733,x3734,x3732,x3735,x3736,x3737,x3738))
% 201.34/201.11 [374]~E(x3741,x3742)+E(f370(x3743,x3744,x3745,x3741,x3746,x3747,x3748),f370(x3743,x3744,x3745,x3742,x3746,x3747,x3748))
% 201.34/201.11 [375]~E(x3751,x3752)+E(f370(x3753,x3754,x3755,x3756,x3751,x3757,x3758),f370(x3753,x3754,x3755,x3756,x3752,x3757,x3758))
% 201.34/201.11 [376]~E(x3761,x3762)+E(f370(x3763,x3764,x3765,x3766,x3767,x3761,x3768),f370(x3763,x3764,x3765,x3766,x3767,x3762,x3768))
% 201.34/201.11 [377]~E(x3771,x3772)+E(f370(x3773,x3774,x3775,x3776,x3777,x3778,x3771),f370(x3773,x3774,x3775,x3776,x3777,x3778,x3772))
% 201.34/201.11 [378]~E(x3781,x3782)+E(f153(x3781),f153(x3782))
% 201.34/201.11 [379]~E(x3791,x3792)+E(f482(x3791,x3793,x3794,x3795,x3796),f482(x3792,x3793,x3794,x3795,x3796))
% 201.34/201.11 [380]~E(x3801,x3802)+E(f482(x3803,x3801,x3804,x3805,x3806),f482(x3803,x3802,x3804,x3805,x3806))
% 201.34/201.11 [381]~E(x3811,x3812)+E(f482(x3813,x3814,x3811,x3815,x3816),f482(x3813,x3814,x3812,x3815,x3816))
% 201.34/201.11 [382]~E(x3821,x3822)+E(f482(x3823,x3824,x3825,x3821,x3826),f482(x3823,x3824,x3825,x3822,x3826))
% 201.34/201.11 [383]~E(x3831,x3832)+E(f482(x3833,x3834,x3835,x3836,x3831),f482(x3833,x3834,x3835,x3836,x3832))
% 201.34/201.11 [384]~E(x3841,x3842)+E(f209(x3841,x3843,x3844,x3845),f209(x3842,x3843,x3844,x3845))
% 201.34/201.11 [385]~E(x3851,x3852)+E(f209(x3853,x3851,x3854,x3855),f209(x3853,x3852,x3854,x3855))
% 201.34/201.11 [386]~E(x3861,x3862)+E(f209(x3863,x3864,x3861,x3865),f209(x3863,x3864,x3862,x3865))
% 201.34/201.11 [387]~E(x3871,x3872)+E(f209(x3873,x3874,x3875,x3871),f209(x3873,x3874,x3875,x3872))
% 201.34/201.11 [388]~E(x3881,x3882)+E(f16(x3881,x3883),f16(x3882,x3883))
% 201.34/201.11 [389]~E(x3891,x3892)+E(f16(x3893,x3891),f16(x3893,x3892))
% 201.34/201.11 [390]~E(x3901,x3902)+E(f98(x3901),f98(x3902))
% 201.34/201.11 [391]~E(x3911,x3912)+E(f584(x3911,x3913,x3914),f584(x3912,x3913,x3914))
% 201.34/201.11 [392]~E(x3921,x3922)+E(f584(x3923,x3921,x3924),f584(x3923,x3922,x3924))
% 201.34/201.11 [393]~E(x3931,x3932)+E(f584(x3933,x3934,x3931),f584(x3933,x3934,x3932))
% 201.34/201.11 [394]~E(x3941,x3942)+E(f108(x3941),f108(x3942))
% 201.34/201.11 [395]~E(x3951,x3952)+E(f109(x3951,x3953),f109(x3952,x3953))
% 201.34/201.11 [396]~E(x3961,x3962)+E(f109(x3963,x3961),f109(x3963,x3962))
% 201.34/201.11 [397]~E(x3971,x3972)+E(f40(x3971,x3973),f40(x3972,x3973))
% 201.34/201.11 [398]~E(x3981,x3982)+E(f40(x3983,x3981),f40(x3983,x3982))
% 201.34/201.11 [399]~E(x3991,x3992)+E(f301(x3991,x3993,x3994,x3995),f301(x3992,x3993,x3994,x3995))
% 201.34/201.11 [400]~E(x4001,x4002)+E(f301(x4003,x4001,x4004,x4005),f301(x4003,x4002,x4004,x4005))
% 201.34/201.11 [401]~E(x4011,x4012)+E(f301(x4013,x4014,x4011,x4015),f301(x4013,x4014,x4012,x4015))
% 201.34/201.11 [402]~E(x4021,x4022)+E(f301(x4023,x4024,x4025,x4021),f301(x4023,x4024,x4025,x4022))
% 201.34/201.11 [403]~E(x4031,x4032)+E(f530(x4031,x4033,x4034),f530(x4032,x4033,x4034))
% 201.34/201.11 [404]~E(x4041,x4042)+E(f530(x4043,x4041,x4044),f530(x4043,x4042,x4044))
% 201.34/201.11 [405]~E(x4051,x4052)+E(f530(x4053,x4054,x4051),f530(x4053,x4054,x4052))
% 201.34/201.11 [406]~E(x4061,x4062)+E(f360(x4061,x4063,x4064),f360(x4062,x4063,x4064))
% 201.34/201.11 [407]~E(x4071,x4072)+E(f360(x4073,x4071,x4074),f360(x4073,x4072,x4074))
% 201.34/201.11 [408]~E(x4081,x4082)+E(f360(x4083,x4084,x4081),f360(x4083,x4084,x4082))
% 201.34/201.11 [409]~E(x4091,x4092)+E(f78(x4091,x4093),f78(x4092,x4093))
% 201.34/201.11 [410]~E(x4101,x4102)+E(f78(x4103,x4101),f78(x4103,x4102))
% 201.34/201.11 [411]~E(x4111,x4112)+E(f763(x4111,x4113,x4114,x4115,x4116,x4117,x4118),f763(x4112,x4113,x4114,x4115,x4116,x4117,x4118))
% 201.34/201.11 [412]~E(x4121,x4122)+E(f763(x4123,x4121,x4124,x4125,x4126,x4127,x4128),f763(x4123,x4122,x4124,x4125,x4126,x4127,x4128))
% 201.34/201.11 [413]~E(x4131,x4132)+E(f763(x4133,x4134,x4131,x4135,x4136,x4137,x4138),f763(x4133,x4134,x4132,x4135,x4136,x4137,x4138))
% 201.34/201.11 [414]~E(x4141,x4142)+E(f763(x4143,x4144,x4145,x4141,x4146,x4147,x4148),f763(x4143,x4144,x4145,x4142,x4146,x4147,x4148))
% 201.34/201.11 [415]~E(x4151,x4152)+E(f763(x4153,x4154,x4155,x4156,x4151,x4157,x4158),f763(x4153,x4154,x4155,x4156,x4152,x4157,x4158))
% 201.34/201.11 [416]~E(x4161,x4162)+E(f763(x4163,x4164,x4165,x4166,x4167,x4161,x4168),f763(x4163,x4164,x4165,x4166,x4167,x4162,x4168))
% 201.34/201.11 [417]~E(x4171,x4172)+E(f763(x4173,x4174,x4175,x4176,x4177,x4178,x4171),f763(x4173,x4174,x4175,x4176,x4177,x4178,x4172))
% 201.34/201.11 [418]~E(x4181,x4182)+E(f83(x4181,x4183),f83(x4182,x4183))
% 201.34/201.11 [419]~E(x4191,x4192)+E(f83(x4193,x4191),f83(x4193,x4192))
% 201.34/201.11 [420]~E(x4201,x4202)+E(f17(x4201,x4203),f17(x4202,x4203))
% 201.34/201.11 [421]~E(x4211,x4212)+E(f17(x4213,x4211),f17(x4213,x4212))
% 201.34/201.11 [422]~E(x4221,x4222)+E(f142(x4221,x4223),f142(x4222,x4223))
% 201.34/201.11 [423]~E(x4231,x4232)+E(f142(x4233,x4231),f142(x4233,x4232))
% 201.34/201.11 [424]~E(x4241,x4242)+E(f251(x4241,x4243),f251(x4242,x4243))
% 201.34/201.11 [425]~E(x4251,x4252)+E(f251(x4253,x4251),f251(x4253,x4252))
% 201.34/201.11 [426]~E(x4261,x4262)+E(f782(x4261),f782(x4262))
% 201.34/201.11 [427]~E(x4271,x4272)+E(f406(x4271,x4273,x4274),f406(x4272,x4273,x4274))
% 201.34/201.11 [428]~E(x4281,x4282)+E(f406(x4283,x4281,x4284),f406(x4283,x4282,x4284))
% 201.34/201.11 [429]~E(x4291,x4292)+E(f406(x4293,x4294,x4291),f406(x4293,x4294,x4292))
% 201.34/201.11 [430]~E(x4301,x4302)+E(f437(x4301,x4303),f437(x4302,x4303))
% 201.34/201.11 [431]~E(x4311,x4312)+E(f437(x4313,x4311),f437(x4313,x4312))
% 201.34/201.11 [432]~E(x4321,x4322)+E(f11(x4321,x4323),f11(x4322,x4323))
% 201.34/201.11 [433]~E(x4331,x4332)+E(f11(x4333,x4331),f11(x4333,x4332))
% 201.34/201.11 [434]~E(x4341,x4342)+E(f270(x4341),f270(x4342))
% 201.34/201.11 [435]~E(x4351,x4352)+E(f170(x4351,x4353),f170(x4352,x4353))
% 201.34/201.11 [436]~E(x4361,x4362)+E(f170(x4363,x4361),f170(x4363,x4362))
% 201.34/201.11 [437]~E(x4371,x4372)+E(f873(x4371,x4373,x4374,x4375),f873(x4372,x4373,x4374,x4375))
% 201.34/201.11 [438]~E(x4381,x4382)+E(f873(x4383,x4381,x4384,x4385),f873(x4383,x4382,x4384,x4385))
% 201.34/201.11 [439]~E(x4391,x4392)+E(f873(x4393,x4394,x4391,x4395),f873(x4393,x4394,x4392,x4395))
% 201.34/201.11 [440]~E(x4401,x4402)+E(f873(x4403,x4404,x4405,x4401),f873(x4403,x4404,x4405,x4402))
% 201.34/201.11 [441]~E(x4411,x4412)+E(f128(x4411,x4413),f128(x4412,x4413))
% 201.34/201.11 [442]~E(x4421,x4422)+E(f128(x4423,x4421),f128(x4423,x4422))
% 201.34/201.11 [443]~E(x4431,x4432)+E(f810(x4431,x4433,x4434,x4435),f810(x4432,x4433,x4434,x4435))
% 201.34/201.11 [444]~E(x4441,x4442)+E(f810(x4443,x4441,x4444,x4445),f810(x4443,x4442,x4444,x4445))
% 201.34/201.11 [445]~E(x4451,x4452)+E(f810(x4453,x4454,x4451,x4455),f810(x4453,x4454,x4452,x4455))
% 201.34/201.11 [446]~E(x4461,x4462)+E(f810(x4463,x4464,x4465,x4461),f810(x4463,x4464,x4465,x4462))
% 201.34/201.11 [447]~E(x4471,x4472)+E(f133(x4471,x4473),f133(x4472,x4473))
% 201.34/201.11 [448]~E(x4481,x4482)+E(f133(x4483,x4481),f133(x4483,x4482))
% 201.34/201.11 [449]~E(x4491,x4492)+E(f205(x4491,x4493),f205(x4492,x4493))
% 201.34/201.11 [450]~E(x4501,x4502)+E(f205(x4503,x4501),f205(x4503,x4502))
% 201.34/201.11 [451]~E(x4511,x4512)+E(f154(x4511),f154(x4512))
% 201.34/201.11 [452]~E(x4521,x4522)+E(f125(x4521,x4523),f125(x4522,x4523))
% 201.34/201.11 [453]~E(x4531,x4532)+E(f125(x4533,x4531),f125(x4533,x4532))
% 201.34/201.11 [454]~E(x4541,x4542)+E(f59(x4541,x4543,x4544,x4545,x4546),f59(x4542,x4543,x4544,x4545,x4546))
% 201.34/201.11 [455]~E(x4551,x4552)+E(f59(x4553,x4551,x4554,x4555,x4556),f59(x4553,x4552,x4554,x4555,x4556))
% 201.34/201.11 [456]~E(x4561,x4562)+E(f59(x4563,x4564,x4561,x4565,x4566),f59(x4563,x4564,x4562,x4565,x4566))
% 201.34/201.11 [457]~E(x4571,x4572)+E(f59(x4573,x4574,x4575,x4571,x4576),f59(x4573,x4574,x4575,x4572,x4576))
% 201.34/201.11 [458]~E(x4581,x4582)+E(f59(x4583,x4584,x4585,x4586,x4581),f59(x4583,x4584,x4585,x4586,x4582))
% 201.34/201.11 [459]~E(x4591,x4592)+E(f148(x4591,x4593),f148(x4592,x4593))
% 201.34/201.11 [460]~E(x4601,x4602)+E(f148(x4603,x4601),f148(x4603,x4602))
% 201.34/201.11 [461]~E(x4611,x4612)+E(f453(x4611,x4613,x4614,x4615,x4616,x4617,x4618),f453(x4612,x4613,x4614,x4615,x4616,x4617,x4618))
% 201.34/201.11 [462]~E(x4621,x4622)+E(f453(x4623,x4621,x4624,x4625,x4626,x4627,x4628),f453(x4623,x4622,x4624,x4625,x4626,x4627,x4628))
% 201.34/201.11 [463]~E(x4631,x4632)+E(f453(x4633,x4634,x4631,x4635,x4636,x4637,x4638),f453(x4633,x4634,x4632,x4635,x4636,x4637,x4638))
% 201.34/201.11 [464]~E(x4641,x4642)+E(f453(x4643,x4644,x4645,x4641,x4646,x4647,x4648),f453(x4643,x4644,x4645,x4642,x4646,x4647,x4648))
% 201.34/201.11 [465]~E(x4651,x4652)+E(f453(x4653,x4654,x4655,x4656,x4651,x4657,x4658),f453(x4653,x4654,x4655,x4656,x4652,x4657,x4658))
% 201.34/201.11 [466]~E(x4661,x4662)+E(f453(x4663,x4664,x4665,x4666,x4667,x4661,x4668),f453(x4663,x4664,x4665,x4666,x4667,x4662,x4668))
% 201.34/201.11 [467]~E(x4671,x4672)+E(f453(x4673,x4674,x4675,x4676,x4677,x4678,x4671),f453(x4673,x4674,x4675,x4676,x4677,x4678,x4672))
% 201.34/201.11 [468]~E(x4681,x4682)+E(f57(x4681,x4683,x4684),f57(x4682,x4683,x4684))
% 201.34/201.11 [469]~E(x4691,x4692)+E(f57(x4693,x4691,x4694),f57(x4693,x4692,x4694))
% 201.34/201.11 [470]~E(x4701,x4702)+E(f57(x4703,x4704,x4701),f57(x4703,x4704,x4702))
% 201.34/201.11 [471]~E(x4711,x4712)+E(f834(x4711,x4713,x4714),f834(x4712,x4713,x4714))
% 201.34/201.11 [472]~E(x4721,x4722)+E(f834(x4723,x4721,x4724),f834(x4723,x4722,x4724))
% 201.34/201.11 [473]~E(x4731,x4732)+E(f834(x4733,x4734,x4731),f834(x4733,x4734,x4732))
% 201.34/201.11 [474]~E(x4741,x4742)+E(f260(x4741,x4743),f260(x4742,x4743))
% 201.34/201.11 [475]~E(x4751,x4752)+E(f260(x4753,x4751),f260(x4753,x4752))
% 201.34/201.11 [476]~E(x4761,x4762)+E(f742(x4761,x4763,x4764),f742(x4762,x4763,x4764))
% 201.34/201.11 [477]~E(x4771,x4772)+E(f742(x4773,x4771,x4774),f742(x4773,x4772,x4774))
% 201.34/201.11 [478]~E(x4781,x4782)+E(f742(x4783,x4784,x4781),f742(x4783,x4784,x4782))
% 201.34/201.11 [479]~E(x4791,x4792)+E(f271(x4791),f271(x4792))
% 201.34/201.11 [480]~E(x4801,x4802)+E(f272(x4801,x4803),f272(x4802,x4803))
% 201.34/201.11 [481]~E(x4811,x4812)+E(f272(x4813,x4811),f272(x4813,x4812))
% 201.34/201.11 [482]~E(x4821,x4822)+E(f605(x4821,x4823,x4824,x4825,x4826),f605(x4822,x4823,x4824,x4825,x4826))
% 201.34/201.11 [483]~E(x4831,x4832)+E(f605(x4833,x4831,x4834,x4835,x4836),f605(x4833,x4832,x4834,x4835,x4836))
% 201.34/201.11 [484]~E(x4841,x4842)+E(f605(x4843,x4844,x4841,x4845,x4846),f605(x4843,x4844,x4842,x4845,x4846))
% 201.34/201.11 [485]~E(x4851,x4852)+E(f605(x4853,x4854,x4855,x4851,x4856),f605(x4853,x4854,x4855,x4852,x4856))
% 201.34/201.11 [486]~E(x4861,x4862)+E(f605(x4863,x4864,x4865,x4866,x4861),f605(x4863,x4864,x4865,x4866,x4862))
% 201.34/201.11 [487]~E(x4871,x4872)+E(f137(x4871,x4873,x4874),f137(x4872,x4873,x4874))
% 201.34/201.11 [488]~E(x4881,x4882)+E(f137(x4883,x4881,x4884),f137(x4883,x4882,x4884))
% 201.34/201.11 [489]~E(x4891,x4892)+E(f137(x4893,x4894,x4891),f137(x4893,x4894,x4892))
% 201.34/201.11 [490]~E(x4901,x4902)+E(f168(x4901,x4903),f168(x4902,x4903))
% 201.34/201.11 [491]~E(x4911,x4912)+E(f168(x4913,x4911),f168(x4913,x4912))
% 201.34/201.11 [492]~E(x4921,x4922)+E(f752(x4921,x4923,x4924,x4925),f752(x4922,x4923,x4924,x4925))
% 201.34/201.11 [493]~E(x4931,x4932)+E(f752(x4933,x4931,x4934,x4935),f752(x4933,x4932,x4934,x4935))
% 201.34/201.11 [494]~E(x4941,x4942)+E(f752(x4943,x4944,x4941,x4945),f752(x4943,x4944,x4942,x4945))
% 201.34/201.11 [495]~E(x4951,x4952)+E(f752(x4953,x4954,x4955,x4951),f752(x4953,x4954,x4955,x4952))
% 201.34/201.11 [496]~E(x4961,x4962)+E(f432(x4961,x4963,x4964,x4965),f432(x4962,x4963,x4964,x4965))
% 201.34/201.11 [497]~E(x4971,x4972)+E(f432(x4973,x4971,x4974,x4975),f432(x4973,x4972,x4974,x4975))
% 201.34/201.11 [498]~E(x4981,x4982)+E(f432(x4983,x4984,x4981,x4985),f432(x4983,x4984,x4982,x4985))
% 201.34/201.11 [499]~E(x4991,x4992)+E(f432(x4993,x4994,x4995,x4991),f432(x4993,x4994,x4995,x4992))
% 201.34/201.11 [500]~E(x5001,x5002)+E(f509(x5001,x5003),f509(x5002,x5003))
% 201.34/201.11 [501]~E(x5011,x5012)+E(f509(x5013,x5011),f509(x5013,x5012))
% 201.34/201.11 [502]~E(x5021,x5022)+E(f302(x5021),f302(x5022))
% 201.34/201.11 [503]~E(x5031,x5032)+E(f52(x5031,x5033,x5034,x5035),f52(x5032,x5033,x5034,x5035))
% 201.34/201.11 [504]~E(x5041,x5042)+E(f52(x5043,x5041,x5044,x5045),f52(x5043,x5042,x5044,x5045))
% 201.34/201.11 [505]~E(x5051,x5052)+E(f52(x5053,x5054,x5051,x5055),f52(x5053,x5054,x5052,x5055))
% 201.34/201.11 [506]~E(x5061,x5062)+E(f52(x5063,x5064,x5065,x5061),f52(x5063,x5064,x5065,x5062))
% 201.34/201.11 [507]~E(x5071,x5072)+E(f166(x5071,x5073,x5074),f166(x5072,x5073,x5074))
% 201.34/201.11 [508]~E(x5081,x5082)+E(f166(x5083,x5081,x5084),f166(x5083,x5082,x5084))
% 201.34/201.11 [509]~E(x5091,x5092)+E(f166(x5093,x5094,x5091),f166(x5093,x5094,x5092))
% 201.34/201.11 [510]~E(x5101,x5102)+E(f340(x5101,x5103,x5104),f340(x5102,x5103,x5104))
% 201.34/201.11 [511]~E(x5111,x5112)+E(f340(x5113,x5111,x5114),f340(x5113,x5112,x5114))
% 201.34/201.11 [512]~E(x5121,x5122)+E(f340(x5123,x5124,x5121),f340(x5123,x5124,x5122))
% 201.34/201.11 [513]~E(x5131,x5132)+E(f762(x5131,x5133,x5134,x5135,x5136,x5137,x5138),f762(x5132,x5133,x5134,x5135,x5136,x5137,x5138))
% 201.34/201.11 [514]~E(x5141,x5142)+E(f762(x5143,x5141,x5144,x5145,x5146,x5147,x5148),f762(x5143,x5142,x5144,x5145,x5146,x5147,x5148))
% 201.34/201.11 [515]~E(x5151,x5152)+E(f762(x5153,x5154,x5151,x5155,x5156,x5157,x5158),f762(x5153,x5154,x5152,x5155,x5156,x5157,x5158))
% 201.34/201.11 [516]~E(x5161,x5162)+E(f762(x5163,x5164,x5165,x5161,x5166,x5167,x5168),f762(x5163,x5164,x5165,x5162,x5166,x5167,x5168))
% 201.34/201.11 [517]~E(x5171,x5172)+E(f762(x5173,x5174,x5175,x5176,x5171,x5177,x5178),f762(x5173,x5174,x5175,x5176,x5172,x5177,x5178))
% 201.34/201.11 [518]~E(x5181,x5182)+E(f762(x5183,x5184,x5185,x5186,x5187,x5181,x5188),f762(x5183,x5184,x5185,x5186,x5187,x5182,x5188))
% 201.34/201.11 [519]~E(x5191,x5192)+E(f762(x5193,x5194,x5195,x5196,x5197,x5198,x5191),f762(x5193,x5194,x5195,x5196,x5197,x5198,x5192))
% 201.34/201.11 [520]~E(x5201,x5202)+E(f631(x5201,x5203,x5204),f631(x5202,x5203,x5204))
% 201.34/201.11 [521]~E(x5211,x5212)+E(f631(x5213,x5211,x5214),f631(x5213,x5212,x5214))
% 201.34/201.11 [522]~E(x5221,x5222)+E(f631(x5223,x5224,x5221),f631(x5223,x5224,x5222))
% 201.34/201.11 [523]~E(x5231,x5232)+E(f184(x5231,x5233,x5234,x5235),f184(x5232,x5233,x5234,x5235))
% 201.34/201.11 [524]~E(x5241,x5242)+E(f184(x5243,x5241,x5244,x5245),f184(x5243,x5242,x5244,x5245))
% 201.34/201.11 [525]~E(x5251,x5252)+E(f184(x5253,x5254,x5251,x5255),f184(x5253,x5254,x5252,x5255))
% 201.34/201.11 [526]~E(x5261,x5262)+E(f184(x5263,x5264,x5265,x5261),f184(x5263,x5264,x5265,x5262))
% 201.34/201.11 [527]~E(x5271,x5272)+E(f835(x5271,x5273,x5274),f835(x5272,x5273,x5274))
% 201.34/201.11 [528]~E(x5281,x5282)+E(f835(x5283,x5281,x5284),f835(x5283,x5282,x5284))
% 201.34/201.11 [529]~E(x5291,x5292)+E(f835(x5293,x5294,x5291),f835(x5293,x5294,x5292))
% 201.34/201.11 [530]~E(x5301,x5302)+E(f13(x5301,x5303),f13(x5302,x5303))
% 201.34/201.11 [531]~E(x5311,x5312)+E(f13(x5313,x5311),f13(x5313,x5312))
% 201.34/201.11 [532]~E(x5321,x5322)+E(f335(x5321,x5323),f335(x5322,x5323))
% 201.34/201.11 [533]~E(x5331,x5332)+E(f335(x5333,x5331),f335(x5333,x5332))
% 201.34/201.11 [534]~E(x5341,x5342)+E(f288(x5341,x5343,x5344,x5345,x5346),f288(x5342,x5343,x5344,x5345,x5346))
% 201.34/201.11 [535]~E(x5351,x5352)+E(f288(x5353,x5351,x5354,x5355,x5356),f288(x5353,x5352,x5354,x5355,x5356))
% 201.34/201.11 [536]~E(x5361,x5362)+E(f288(x5363,x5364,x5361,x5365,x5366),f288(x5363,x5364,x5362,x5365,x5366))
% 201.34/201.11 [537]~E(x5371,x5372)+E(f288(x5373,x5374,x5375,x5371,x5376),f288(x5373,x5374,x5375,x5372,x5376))
% 201.34/201.11 [538]~E(x5381,x5382)+E(f288(x5383,x5384,x5385,x5386,x5381),f288(x5383,x5384,x5385,x5386,x5382))
% 201.34/201.11 [539]~E(x5391,x5392)+E(f268(x5391,x5393,x5394,x5395),f268(x5392,x5393,x5394,x5395))
% 201.34/201.11 [540]~E(x5401,x5402)+E(f268(x5403,x5401,x5404,x5405),f268(x5403,x5402,x5404,x5405))
% 201.34/201.11 [541]~E(x5411,x5412)+E(f268(x5413,x5414,x5411,x5415),f268(x5413,x5414,x5412,x5415))
% 201.34/201.11 [542]~E(x5421,x5422)+E(f268(x5423,x5424,x5425,x5421),f268(x5423,x5424,x5425,x5422))
% 201.34/201.11 [543]~E(x5431,x5432)+E(f714(x5431,x5433,x5434,x5435,x5436),f714(x5432,x5433,x5434,x5435,x5436))
% 201.34/201.11 [544]~E(x5441,x5442)+E(f714(x5443,x5441,x5444,x5445,x5446),f714(x5443,x5442,x5444,x5445,x5446))
% 201.34/201.11 [545]~E(x5451,x5452)+E(f714(x5453,x5454,x5451,x5455,x5456),f714(x5453,x5454,x5452,x5455,x5456))
% 201.34/201.11 [546]~E(x5461,x5462)+E(f714(x5463,x5464,x5465,x5461,x5466),f714(x5463,x5464,x5465,x5462,x5466))
% 201.34/201.11 [547]~E(x5471,x5472)+E(f714(x5473,x5474,x5475,x5476,x5471),f714(x5473,x5474,x5475,x5476,x5472))
% 201.34/201.11 [548]~E(x5481,x5482)+E(f656(x5481,x5483,x5484,x5485),f656(x5482,x5483,x5484,x5485))
% 201.34/201.11 [549]~E(x5491,x5492)+E(f656(x5493,x5491,x5494,x5495),f656(x5493,x5492,x5494,x5495))
% 201.34/201.11 [550]~E(x5501,x5502)+E(f656(x5503,x5504,x5501,x5505),f656(x5503,x5504,x5502,x5505))
% 201.34/201.11 [551]~E(x5511,x5512)+E(f656(x5513,x5514,x5515,x5511),f656(x5513,x5514,x5515,x5512))
% 201.34/201.11 [552]~E(x5521,x5522)+E(f513(x5521,x5523),f513(x5522,x5523))
% 201.34/201.11 [553]~E(x5531,x5532)+E(f513(x5533,x5531),f513(x5533,x5532))
% 201.34/201.11 [554]~E(x5541,x5542)+E(f708(x5541,x5543),f708(x5542,x5543))
% 201.34/201.11 [555]~E(x5551,x5552)+E(f708(x5553,x5551),f708(x5553,x5552))
% 201.34/201.11 [556]~E(x5561,x5562)+E(f411(x5561,x5563,x5564,x5565,x5566,x5567,x5568),f411(x5562,x5563,x5564,x5565,x5566,x5567,x5568))
% 201.34/201.11 [557]~E(x5571,x5572)+E(f411(x5573,x5571,x5574,x5575,x5576,x5577,x5578),f411(x5573,x5572,x5574,x5575,x5576,x5577,x5578))
% 201.34/201.11 [558]~E(x5581,x5582)+E(f411(x5583,x5584,x5581,x5585,x5586,x5587,x5588),f411(x5583,x5584,x5582,x5585,x5586,x5587,x5588))
% 201.34/201.11 [559]~E(x5591,x5592)+E(f411(x5593,x5594,x5595,x5591,x5596,x5597,x5598),f411(x5593,x5594,x5595,x5592,x5596,x5597,x5598))
% 201.34/201.11 [560]~E(x5601,x5602)+E(f411(x5603,x5604,x5605,x5606,x5601,x5607,x5608),f411(x5603,x5604,x5605,x5606,x5602,x5607,x5608))
% 201.34/201.11 [561]~E(x5611,x5612)+E(f411(x5613,x5614,x5615,x5616,x5617,x5611,x5618),f411(x5613,x5614,x5615,x5616,x5617,x5612,x5618))
% 201.34/201.11 [562]~E(x5621,x5622)+E(f411(x5623,x5624,x5625,x5626,x5627,x5628,x5621),f411(x5623,x5624,x5625,x5626,x5627,x5628,x5622))
% 201.34/201.11 [563]~E(x5631,x5632)+E(f872(x5631,x5633,x5634),f872(x5632,x5633,x5634))
% 201.34/201.11 [564]~E(x5641,x5642)+E(f872(x5643,x5641,x5644),f872(x5643,x5642,x5644))
% 201.34/201.11 [565]~E(x5651,x5652)+E(f872(x5653,x5654,x5651),f872(x5653,x5654,x5652))
% 201.34/201.11 [566]~E(x5661,x5662)+E(f213(x5661,x5663,x5664,x5665,x5666),f213(x5662,x5663,x5664,x5665,x5666))
% 201.34/201.11 [567]~E(x5671,x5672)+E(f213(x5673,x5671,x5674,x5675,x5676),f213(x5673,x5672,x5674,x5675,x5676))
% 201.34/201.11 [568]~E(x5681,x5682)+E(f213(x5683,x5684,x5681,x5685,x5686),f213(x5683,x5684,x5682,x5685,x5686))
% 201.34/201.11 [569]~E(x5691,x5692)+E(f213(x5693,x5694,x5695,x5691,x5696),f213(x5693,x5694,x5695,x5692,x5696))
% 201.34/201.11 [570]~E(x5701,x5702)+E(f213(x5703,x5704,x5705,x5706,x5701),f213(x5703,x5704,x5705,x5706,x5702))
% 201.34/201.11 [571]~E(x5711,x5712)+E(f163(x5711,x5713,x5714),f163(x5712,x5713,x5714))
% 201.34/201.11 [572]~E(x5721,x5722)+E(f163(x5723,x5721,x5724),f163(x5723,x5722,x5724))
% 201.34/201.11 [573]~E(x5731,x5732)+E(f163(x5733,x5734,x5731),f163(x5733,x5734,x5732))
% 201.34/201.11 [574]~E(x5741,x5742)+E(f325(x5741),f325(x5742))
% 201.34/201.11 [575]~E(x5751,x5752)+E(f839(x5751,x5753,x5754),f839(x5752,x5753,x5754))
% 201.34/201.11 [576]~E(x5761,x5762)+E(f839(x5763,x5761,x5764),f839(x5763,x5762,x5764))
% 201.34/201.11 [577]~E(x5771,x5772)+E(f839(x5773,x5774,x5771),f839(x5773,x5774,x5772))
% 201.34/201.11 [578]~E(x5781,x5782)+E(f151(x5781,x5783),f151(x5782,x5783))
% 201.34/201.11 [579]~E(x5791,x5792)+E(f151(x5793,x5791),f151(x5793,x5792))
% 201.34/201.11 [580]~E(x5801,x5802)+E(f144(x5801,x5803,x5804),f144(x5802,x5803,x5804))
% 201.34/201.11 [581]~E(x5811,x5812)+E(f144(x5813,x5811,x5814),f144(x5813,x5812,x5814))
% 201.34/201.11 [582]~E(x5821,x5822)+E(f144(x5823,x5824,x5821),f144(x5823,x5824,x5822))
% 201.34/201.11 [583]~E(x5831,x5832)+E(f771(x5831,x5833),f771(x5832,x5833))
% 201.34/201.11 [584]~E(x5841,x5842)+E(f771(x5843,x5841),f771(x5843,x5842))
% 201.34/201.11 [585]~E(x5851,x5852)+E(f466(x5851,x5853,x5854),f466(x5852,x5853,x5854))
% 201.34/201.11 [586]~E(x5861,x5862)+E(f466(x5863,x5861,x5864),f466(x5863,x5862,x5864))
% 201.34/201.11 [587]~E(x5871,x5872)+E(f466(x5873,x5874,x5871),f466(x5873,x5874,x5872))
% 201.34/201.11 [588]~E(x5881,x5882)+E(f744(x5881,x5883,x5884),f744(x5882,x5883,x5884))
% 201.34/201.11 [589]~E(x5891,x5892)+E(f744(x5893,x5891,x5894),f744(x5893,x5892,x5894))
% 201.34/201.11 [590]~E(x5901,x5902)+E(f744(x5903,x5904,x5901),f744(x5903,x5904,x5902))
% 201.34/201.11 [591]~E(x5911,x5912)+E(f269(x5911),f269(x5912))
% 201.34/201.11 [592]~E(x5921,x5922)+E(f114(x5921,x5923),f114(x5922,x5923))
% 201.34/201.11 [593]~E(x5931,x5932)+E(f114(x5933,x5931),f114(x5933,x5932))
% 201.34/201.11 [594]~E(x5941,x5942)+E(f293(x5941,x5943,x5944),f293(x5942,x5943,x5944))
% 201.34/201.11 [595]~E(x5951,x5952)+E(f293(x5953,x5951,x5954),f293(x5953,x5952,x5954))
% 201.34/201.11 [596]~E(x5961,x5962)+E(f293(x5963,x5964,x5961),f293(x5963,x5964,x5962))
% 201.34/201.11 [597]~E(x5971,x5972)+E(f164(x5971),f164(x5972))
% 201.34/201.11 [598]~E(x5981,x5982)+E(f50(x5981),f50(x5982))
% 201.34/201.11 [599]~E(x5991,x5992)+E(f134(x5991,x5993),f134(x5992,x5993))
% 201.34/201.11 [600]~E(x6001,x6002)+E(f134(x6003,x6001),f134(x6003,x6002))
% 201.34/201.11 [601]~E(x6011,x6012)+E(f494(x6011,x6013,x6014,x6015,x6016,x6017,x6018),f494(x6012,x6013,x6014,x6015,x6016,x6017,x6018))
% 201.34/201.11 [602]~E(x6021,x6022)+E(f494(x6023,x6021,x6024,x6025,x6026,x6027,x6028),f494(x6023,x6022,x6024,x6025,x6026,x6027,x6028))
% 201.34/201.11 [603]~E(x6031,x6032)+E(f494(x6033,x6034,x6031,x6035,x6036,x6037,x6038),f494(x6033,x6034,x6032,x6035,x6036,x6037,x6038))
% 201.34/201.11 [604]~E(x6041,x6042)+E(f494(x6043,x6044,x6045,x6041,x6046,x6047,x6048),f494(x6043,x6044,x6045,x6042,x6046,x6047,x6048))
% 201.34/201.11 [605]~E(x6051,x6052)+E(f494(x6053,x6054,x6055,x6056,x6051,x6057,x6058),f494(x6053,x6054,x6055,x6056,x6052,x6057,x6058))
% 201.34/201.11 [606]~E(x6061,x6062)+E(f494(x6063,x6064,x6065,x6066,x6067,x6061,x6068),f494(x6063,x6064,x6065,x6066,x6067,x6062,x6068))
% 201.34/201.11 [607]~E(x6071,x6072)+E(f494(x6073,x6074,x6075,x6076,x6077,x6078,x6071),f494(x6073,x6074,x6075,x6076,x6077,x6078,x6072))
% 201.34/201.11 [608]~E(x6081,x6082)+E(f336(x6081,x6083,x6084),f336(x6082,x6083,x6084))
% 201.34/201.11 [609]~E(x6091,x6092)+E(f336(x6093,x6091,x6094),f336(x6093,x6092,x6094))
% 201.34/201.11 [610]~E(x6101,x6102)+E(f336(x6103,x6104,x6101),f336(x6103,x6104,x6102))
% 201.34/201.11 [611]~E(x6111,x6112)+E(f80(x6111),f80(x6112))
% 201.34/201.11 [612]~E(x6121,x6122)+E(f149(x6121,x6123),f149(x6122,x6123))
% 201.34/201.11 [613]~E(x6131,x6132)+E(f149(x6133,x6131),f149(x6133,x6132))
% 201.34/201.11 [614]~E(x6141,x6142)+E(f646(x6141,x6143,x6144,x6145),f646(x6142,x6143,x6144,x6145))
% 201.34/201.11 [615]~E(x6151,x6152)+E(f646(x6153,x6151,x6154,x6155),f646(x6153,x6152,x6154,x6155))
% 201.34/201.11 [616]~E(x6161,x6162)+E(f646(x6163,x6164,x6161,x6165),f646(x6163,x6164,x6162,x6165))
% 201.34/201.11 [617]~E(x6171,x6172)+E(f646(x6173,x6174,x6175,x6171),f646(x6173,x6174,x6175,x6172))
% 201.34/201.11 [618]~E(x6181,x6182)+E(f68(x6181,x6183,x6184,x6185,x6186),f68(x6182,x6183,x6184,x6185,x6186))
% 201.34/201.11 [619]~E(x6191,x6192)+E(f68(x6193,x6191,x6194,x6195,x6196),f68(x6193,x6192,x6194,x6195,x6196))
% 201.34/201.11 [620]~E(x6201,x6202)+E(f68(x6203,x6204,x6201,x6205,x6206),f68(x6203,x6204,x6202,x6205,x6206))
% 201.34/201.11 [621]~E(x6211,x6212)+E(f68(x6213,x6214,x6215,x6211,x6216),f68(x6213,x6214,x6215,x6212,x6216))
% 201.34/201.11 [622]~E(x6221,x6222)+E(f68(x6223,x6224,x6225,x6226,x6221),f68(x6223,x6224,x6225,x6226,x6222))
% 201.34/201.11 [623]~E(x6231,x6232)+E(f533(x6231,x6233),f533(x6232,x6233))
% 201.34/201.11 [624]~E(x6241,x6242)+E(f533(x6243,x6241),f533(x6243,x6242))
% 201.34/201.11 [625]~E(x6251,x6252)+E(f241(x6251,x6253,x6254,x6255,x6256),f241(x6252,x6253,x6254,x6255,x6256))
% 201.34/201.11 [626]~E(x6261,x6262)+E(f241(x6263,x6261,x6264,x6265,x6266),f241(x6263,x6262,x6264,x6265,x6266))
% 201.34/201.11 [627]~E(x6271,x6272)+E(f241(x6273,x6274,x6271,x6275,x6276),f241(x6273,x6274,x6272,x6275,x6276))
% 201.34/201.11 [628]~E(x6281,x6282)+E(f241(x6283,x6284,x6285,x6281,x6286),f241(x6283,x6284,x6285,x6282,x6286))
% 201.34/201.11 [629]~E(x6291,x6292)+E(f241(x6293,x6294,x6295,x6296,x6291),f241(x6293,x6294,x6295,x6296,x6292))
% 201.34/201.11 [630]~E(x6301,x6302)+E(f707(x6301,x6303),f707(x6302,x6303))
% 201.34/201.11 [631]~E(x6311,x6312)+E(f707(x6313,x6311),f707(x6313,x6312))
% 201.34/201.11 [632]~E(x6321,x6322)+E(f216(x6321,x6323),f216(x6322,x6323))
% 201.34/201.11 [633]~E(x6331,x6332)+E(f216(x6333,x6331),f216(x6333,x6332))
% 201.34/201.11 [634]~E(x6341,x6342)+E(f701(x6341,x6343,x6344,x6345),f701(x6342,x6343,x6344,x6345))
% 201.34/201.11 [635]~E(x6351,x6352)+E(f701(x6353,x6351,x6354,x6355),f701(x6353,x6352,x6354,x6355))
% 201.34/201.11 [636]~E(x6361,x6362)+E(f701(x6363,x6364,x6361,x6365),f701(x6363,x6364,x6362,x6365))
% 201.34/201.11 [637]~E(x6371,x6372)+E(f701(x6373,x6374,x6375,x6371),f701(x6373,x6374,x6375,x6372))
% 201.34/201.11 [638]~E(x6381,x6382)+E(f674(x6381,x6383,x6384),f674(x6382,x6383,x6384))
% 201.34/201.11 [639]~E(x6391,x6392)+E(f674(x6393,x6391,x6394),f674(x6393,x6392,x6394))
% 201.34/201.11 [640]~E(x6401,x6402)+E(f674(x6403,x6404,x6401),f674(x6403,x6404,x6402))
% 201.34/201.11 [641]~E(x6411,x6412)+E(f285(x6411,x6413,x6414,x6415,x6416),f285(x6412,x6413,x6414,x6415,x6416))
% 201.34/201.11 [642]~E(x6421,x6422)+E(f285(x6423,x6421,x6424,x6425,x6426),f285(x6423,x6422,x6424,x6425,x6426))
% 201.34/201.11 [643]~E(x6431,x6432)+E(f285(x6433,x6434,x6431,x6435,x6436),f285(x6433,x6434,x6432,x6435,x6436))
% 201.34/201.11 [644]~E(x6441,x6442)+E(f285(x6443,x6444,x6445,x6441,x6446),f285(x6443,x6444,x6445,x6442,x6446))
% 201.34/201.11 [645]~E(x6451,x6452)+E(f285(x6453,x6454,x6455,x6456,x6451),f285(x6453,x6454,x6455,x6456,x6452))
% 201.34/201.11 [646]~E(x6461,x6462)+E(f256(x6461,x6463),f256(x6462,x6463))
% 201.34/201.11 [647]~E(x6471,x6472)+E(f256(x6473,x6471),f256(x6473,x6472))
% 201.34/201.11 [648]~E(x6481,x6482)+E(f303(x6481,x6483),f303(x6482,x6483))
% 201.34/201.11 [649]~E(x6491,x6492)+E(f303(x6493,x6491),f303(x6493,x6492))
% 201.34/201.11 [650]~E(x6501,x6502)+E(f794(x6501,x6503,x6504),f794(x6502,x6503,x6504))
% 201.34/201.11 [651]~E(x6511,x6512)+E(f794(x6513,x6511,x6514),f794(x6513,x6512,x6514))
% 201.34/201.11 [652]~E(x6521,x6522)+E(f794(x6523,x6524,x6521),f794(x6523,x6524,x6522))
% 201.34/201.11 [653]~E(x6531,x6532)+E(f586(x6531,x6533,x6534,x6535),f586(x6532,x6533,x6534,x6535))
% 201.34/201.11 [654]~E(x6541,x6542)+E(f586(x6543,x6541,x6544,x6545),f586(x6543,x6542,x6544,x6545))
% 201.34/201.11 [655]~E(x6551,x6552)+E(f586(x6553,x6554,x6551,x6555),f586(x6553,x6554,x6552,x6555))
% 201.34/201.11 [656]~E(x6561,x6562)+E(f586(x6563,x6564,x6565,x6561),f586(x6563,x6564,x6565,x6562))
% 201.34/201.11 [657]~E(x6571,x6572)+E(f127(x6571),f127(x6572))
% 201.34/201.11 [658]~E(x6581,x6582)+E(f231(x6581,x6583,x6584),f231(x6582,x6583,x6584))
% 201.34/201.11 [659]~E(x6591,x6592)+E(f231(x6593,x6591,x6594),f231(x6593,x6592,x6594))
% 201.34/201.11 [660]~E(x6601,x6602)+E(f231(x6603,x6604,x6601),f231(x6603,x6604,x6602))
% 201.34/201.11 [661]~E(x6611,x6612)+E(f159(x6611,x6613,x6614),f159(x6612,x6613,x6614))
% 201.34/201.11 [662]~E(x6621,x6622)+E(f159(x6623,x6621,x6624),f159(x6623,x6622,x6624))
% 201.34/201.11 [663]~E(x6631,x6632)+E(f159(x6633,x6634,x6631),f159(x6633,x6634,x6632))
% 201.34/201.11 [664]~E(x6641,x6642)+E(f448(x6641,x6643,x6644,x6645,x6646),f448(x6642,x6643,x6644,x6645,x6646))
% 201.34/201.11 [665]~E(x6651,x6652)+E(f448(x6653,x6651,x6654,x6655,x6656),f448(x6653,x6652,x6654,x6655,x6656))
% 201.34/201.11 [666]~E(x6661,x6662)+E(f448(x6663,x6664,x6661,x6665,x6666),f448(x6663,x6664,x6662,x6665,x6666))
% 201.34/201.11 [667]~E(x6671,x6672)+E(f448(x6673,x6674,x6675,x6671,x6676),f448(x6673,x6674,x6675,x6672,x6676))
% 201.34/201.11 [668]~E(x6681,x6682)+E(f448(x6683,x6684,x6685,x6686,x6681),f448(x6683,x6684,x6685,x6686,x6682))
% 201.34/201.11 [669]~E(x6691,x6692)+E(f431(x6691,x6693,x6694,x6695),f431(x6692,x6693,x6694,x6695))
% 201.34/201.11 [670]~E(x6701,x6702)+E(f431(x6703,x6701,x6704,x6705),f431(x6703,x6702,x6704,x6705))
% 201.34/201.11 [671]~E(x6711,x6712)+E(f431(x6713,x6714,x6711,x6715),f431(x6713,x6714,x6712,x6715))
% 201.34/201.11 [672]~E(x6721,x6722)+E(f431(x6723,x6724,x6725,x6721),f431(x6723,x6724,x6725,x6722))
% 201.34/201.11 [673]~E(x6731,x6732)+E(f169(x6731),f169(x6732))
% 201.34/201.11 [674]~E(x6741,x6742)+E(f844(x6741,x6743,x6744),f844(x6742,x6743,x6744))
% 201.34/201.11 [675]~E(x6751,x6752)+E(f844(x6753,x6751,x6754),f844(x6753,x6752,x6754))
% 201.34/201.11 [676]~E(x6761,x6762)+E(f844(x6763,x6764,x6761),f844(x6763,x6764,x6762))
% 201.34/201.11 [677]~E(x6771,x6772)+E(f48(x6771,x6773,x6774),f48(x6772,x6773,x6774))
% 201.34/201.11 [678]~E(x6781,x6782)+E(f48(x6783,x6781,x6784),f48(x6783,x6782,x6784))
% 201.34/201.11 [679]~E(x6791,x6792)+E(f48(x6793,x6794,x6791),f48(x6793,x6794,x6792))
% 201.34/201.11 [680]~E(x6801,x6802)+E(f492(x6801,x6803,x6804,x6805,x6806,x6807,x6808),f492(x6802,x6803,x6804,x6805,x6806,x6807,x6808))
% 201.34/201.11 [681]~E(x6811,x6812)+E(f492(x6813,x6811,x6814,x6815,x6816,x6817,x6818),f492(x6813,x6812,x6814,x6815,x6816,x6817,x6818))
% 201.34/201.11 [682]~E(x6821,x6822)+E(f492(x6823,x6824,x6821,x6825,x6826,x6827,x6828),f492(x6823,x6824,x6822,x6825,x6826,x6827,x6828))
% 201.34/201.11 [683]~E(x6831,x6832)+E(f492(x6833,x6834,x6835,x6831,x6836,x6837,x6838),f492(x6833,x6834,x6835,x6832,x6836,x6837,x6838))
% 201.34/201.11 [684]~E(x6841,x6842)+E(f492(x6843,x6844,x6845,x6846,x6841,x6847,x6848),f492(x6843,x6844,x6845,x6846,x6842,x6847,x6848))
% 201.34/201.11 [685]~E(x6851,x6852)+E(f492(x6853,x6854,x6855,x6856,x6857,x6851,x6858),f492(x6853,x6854,x6855,x6856,x6857,x6852,x6858))
% 201.34/201.11 [686]~E(x6861,x6862)+E(f492(x6863,x6864,x6865,x6866,x6867,x6868,x6861),f492(x6863,x6864,x6865,x6866,x6867,x6868,x6862))
% 201.34/201.11 [687]~E(x6871,x6872)+E(f883(x6871,x6873,x6874),f883(x6872,x6873,x6874))
% 201.34/201.11 [688]~E(x6881,x6882)+E(f883(x6883,x6881,x6884),f883(x6883,x6882,x6884))
% 201.34/201.11 [689]~E(x6891,x6892)+E(f883(x6893,x6894,x6891),f883(x6893,x6894,x6892))
% 201.34/201.11 [690]~E(x6901,x6902)+E(f345(x6901,x6903),f345(x6902,x6903))
% 201.34/201.11 [691]~E(x6911,x6912)+E(f345(x6913,x6911),f345(x6913,x6912))
% 201.34/201.11 [692]~E(x6921,x6922)+E(f287(x6921,x6923,x6924,x6925),f287(x6922,x6923,x6924,x6925))
% 201.34/201.11 [693]~E(x6931,x6932)+E(f287(x6933,x6931,x6934,x6935),f287(x6933,x6932,x6934,x6935))
% 201.34/201.11 [694]~E(x6941,x6942)+E(f287(x6943,x6944,x6941,x6945),f287(x6943,x6944,x6942,x6945))
% 201.34/201.11 [695]~E(x6951,x6952)+E(f287(x6953,x6954,x6955,x6951),f287(x6953,x6954,x6955,x6952))
% 201.34/201.11 [696]~E(x6961,x6962)+E(f348(x6961,x6963,x6964),f348(x6962,x6963,x6964))
% 201.34/201.11 [697]~E(x6971,x6972)+E(f348(x6973,x6971,x6974),f348(x6973,x6972,x6974))
% 201.34/201.11 [698]~E(x6981,x6982)+E(f348(x6983,x6984,x6981),f348(x6983,x6984,x6982))
% 201.34/201.11 [699]~E(x6991,x6992)+E(f693(x6991,x6993,x6994),f693(x6992,x6993,x6994))
% 201.34/201.11 [700]~E(x7001,x7002)+E(f693(x7003,x7001,x7004),f693(x7003,x7002,x7004))
% 201.34/201.11 [701]~E(x7011,x7012)+E(f693(x7013,x7014,x7011),f693(x7013,x7014,x7012))
% 201.34/201.11 [702]~E(x7021,x7022)+E(f460(x7021,x7023),f460(x7022,x7023))
% 201.34/201.11 [703]~E(x7031,x7032)+E(f460(x7033,x7031),f460(x7033,x7032))
% 201.34/201.11 [704]~E(x7041,x7042)+E(f606(x7041,x7043,x7044,x7045,x7046),f606(x7042,x7043,x7044,x7045,x7046))
% 201.34/201.11 [705]~E(x7051,x7052)+E(f606(x7053,x7051,x7054,x7055,x7056),f606(x7053,x7052,x7054,x7055,x7056))
% 201.34/201.11 [706]~E(x7061,x7062)+E(f606(x7063,x7064,x7061,x7065,x7066),f606(x7063,x7064,x7062,x7065,x7066))
% 201.34/201.11 [707]~E(x7071,x7072)+E(f606(x7073,x7074,x7075,x7071,x7076),f606(x7073,x7074,x7075,x7072,x7076))
% 201.34/201.11 [708]~E(x7081,x7082)+E(f606(x7083,x7084,x7085,x7086,x7081),f606(x7083,x7084,x7085,x7086,x7082))
% 201.34/201.11 [709]~E(x7091,x7092)+E(f504(x7091,x7093,x7094,x7095),f504(x7092,x7093,x7094,x7095))
% 201.34/201.11 [710]~E(x7101,x7102)+E(f504(x7103,x7101,x7104,x7105),f504(x7103,x7102,x7104,x7105))
% 201.34/201.11 [711]~E(x7111,x7112)+E(f504(x7113,x7114,x7111,x7115),f504(x7113,x7114,x7112,x7115))
% 201.34/201.11 [712]~E(x7121,x7122)+E(f504(x7123,x7124,x7125,x7121),f504(x7123,x7124,x7125,x7122))
% 201.34/201.11 [713]~E(x7131,x7132)+E(f610(x7131,x7133,x7134,x7135),f610(x7132,x7133,x7134,x7135))
% 201.34/201.11 [714]~E(x7141,x7142)+E(f610(x7143,x7141,x7144,x7145),f610(x7143,x7142,x7144,x7145))
% 201.34/201.11 [715]~E(x7151,x7152)+E(f610(x7153,x7154,x7151,x7155),f610(x7153,x7154,x7152,x7155))
% 201.34/201.11 [716]~E(x7161,x7162)+E(f610(x7163,x7164,x7165,x7161),f610(x7163,x7164,x7165,x7162))
% 201.34/201.11 [717]~E(x7171,x7172)+E(f413(x7171,x7173,x7174,x7175),f413(x7172,x7173,x7174,x7175))
% 201.34/201.11 [718]~E(x7181,x7182)+E(f413(x7183,x7181,x7184,x7185),f413(x7183,x7182,x7184,x7185))
% 201.34/201.11 [719]~E(x7191,x7192)+E(f413(x7193,x7194,x7191,x7195),f413(x7193,x7194,x7192,x7195))
% 201.34/201.11 [720]~E(x7201,x7202)+E(f413(x7203,x7204,x7205,x7201),f413(x7203,x7204,x7205,x7202))
% 201.34/201.11 [721]~E(x7211,x7212)+E(f689(x7211,x7213,x7214,x7215,x7216),f689(x7212,x7213,x7214,x7215,x7216))
% 201.34/201.11 [722]~E(x7221,x7222)+E(f689(x7223,x7221,x7224,x7225,x7226),f689(x7223,x7222,x7224,x7225,x7226))
% 201.34/201.11 [723]~E(x7231,x7232)+E(f689(x7233,x7234,x7231,x7235,x7236),f689(x7233,x7234,x7232,x7235,x7236))
% 201.34/201.11 [724]~E(x7241,x7242)+E(f689(x7243,x7244,x7245,x7241,x7246),f689(x7243,x7244,x7245,x7242,x7246))
% 201.34/201.11 [725]~E(x7251,x7252)+E(f689(x7253,x7254,x7255,x7256,x7251),f689(x7253,x7254,x7255,x7256,x7252))
% 201.34/201.11 [726]~E(x7261,x7262)+E(f236(x7261,x7263),f236(x7262,x7263))
% 201.34/201.11 [727]~E(x7271,x7272)+E(f236(x7273,x7271),f236(x7273,x7272))
% 201.34/201.11 [728]~E(x7281,x7282)+E(f319(x7281,x7283,x7284,x7285),f319(x7282,x7283,x7284,x7285))
% 201.34/201.11 [729]~E(x7291,x7292)+E(f319(x7293,x7291,x7294,x7295),f319(x7293,x7292,x7294,x7295))
% 201.34/201.11 [730]~E(x7301,x7302)+E(f319(x7303,x7304,x7301,x7305),f319(x7303,x7304,x7302,x7305))
% 201.34/201.11 [731]~E(x7311,x7312)+E(f319(x7313,x7314,x7315,x7311),f319(x7313,x7314,x7315,x7312))
% 201.34/201.11 [732]~E(x7321,x7322)+E(f554(x7321,x7323,x7324),f554(x7322,x7323,x7324))
% 201.34/201.11 [733]~E(x7331,x7332)+E(f554(x7333,x7331,x7334),f554(x7333,x7332,x7334))
% 201.34/201.11 [734]~E(x7341,x7342)+E(f554(x7343,x7344,x7341),f554(x7343,x7344,x7342))
% 201.34/201.11 [735]~E(x7351,x7352)+E(f120(x7351,x7353,x7354,x7355),f120(x7352,x7353,x7354,x7355))
% 201.34/201.11 [736]~E(x7361,x7362)+E(f120(x7363,x7361,x7364,x7365),f120(x7363,x7362,x7364,x7365))
% 201.34/201.11 [737]~E(x7371,x7372)+E(f120(x7373,x7374,x7371,x7375),f120(x7373,x7374,x7372,x7375))
% 201.34/201.11 [738]~E(x7381,x7382)+E(f120(x7383,x7384,x7385,x7381),f120(x7383,x7384,x7385,x7382))
% 201.34/201.11 [739]~E(x7391,x7392)+E(f43(x7391,x7393),f43(x7392,x7393))
% 201.34/201.11 [740]~E(x7401,x7402)+E(f43(x7403,x7401),f43(x7403,x7402))
% 201.34/201.11 [741]~E(x7411,x7412)+E(f764(x7411,x7413,x7414),f764(x7412,x7413,x7414))
% 201.34/201.11 [742]~E(x7421,x7422)+E(f764(x7423,x7421,x7424),f764(x7423,x7422,x7424))
% 201.34/201.11 [743]~E(x7431,x7432)+E(f764(x7433,x7434,x7431),f764(x7433,x7434,x7432))
% 201.34/201.11 [744]~E(x7441,x7442)+E(f440(x7441,x7443,x7444,x7445),f440(x7442,x7443,x7444,x7445))
% 201.34/201.11 [745]~E(x7451,x7452)+E(f440(x7453,x7451,x7454,x7455),f440(x7453,x7452,x7454,x7455))
% 201.34/201.11 [746]~E(x7461,x7462)+E(f440(x7463,x7464,x7461,x7465),f440(x7463,x7464,x7462,x7465))
% 201.34/201.11 [747]~E(x7471,x7472)+E(f440(x7473,x7474,x7475,x7471),f440(x7473,x7474,x7475,x7472))
% 201.34/201.11 [748]~E(x7481,x7482)+E(f843(x7481,x7483,x7484),f843(x7482,x7483,x7484))
% 201.34/201.11 [749]~E(x7491,x7492)+E(f843(x7493,x7491,x7494),f843(x7493,x7492,x7494))
% 201.34/201.11 [750]~E(x7501,x7502)+E(f843(x7503,x7504,x7501),f843(x7503,x7504,x7502))
% 201.34/201.11 [751]~E(x7511,x7512)+E(f75(x7511,x7513),f75(x7512,x7513))
% 201.34/201.11 [752]~E(x7521,x7522)+E(f75(x7523,x7521),f75(x7523,x7522))
% 201.34/201.11 [753]~E(x7531,x7532)+E(f480(x7531,x7533,x7534),f480(x7532,x7533,x7534))
% 201.34/201.11 [754]~E(x7541,x7542)+E(f480(x7543,x7541,x7544),f480(x7543,x7542,x7544))
% 201.34/201.11 [755]~E(x7551,x7552)+E(f480(x7553,x7554,x7551),f480(x7553,x7554,x7552))
% 201.34/201.11 [756]~E(x7561,x7562)+E(f493(x7561,x7563,x7564,x7565,x7566,x7567,x7568),f493(x7562,x7563,x7564,x7565,x7566,x7567,x7568))
% 201.34/201.11 [757]~E(x7571,x7572)+E(f493(x7573,x7571,x7574,x7575,x7576,x7577,x7578),f493(x7573,x7572,x7574,x7575,x7576,x7577,x7578))
% 201.34/201.11 [758]~E(x7581,x7582)+E(f493(x7583,x7584,x7581,x7585,x7586,x7587,x7588),f493(x7583,x7584,x7582,x7585,x7586,x7587,x7588))
% 201.34/201.11 [759]~E(x7591,x7592)+E(f493(x7593,x7594,x7595,x7591,x7596,x7597,x7598),f493(x7593,x7594,x7595,x7592,x7596,x7597,x7598))
% 201.34/201.11 [760]~E(x7601,x7602)+E(f493(x7603,x7604,x7605,x7606,x7601,x7607,x7608),f493(x7603,x7604,x7605,x7606,x7602,x7607,x7608))
% 201.34/201.11 [761]~E(x7611,x7612)+E(f493(x7613,x7614,x7615,x7616,x7617,x7611,x7618),f493(x7613,x7614,x7615,x7616,x7617,x7612,x7618))
% 201.34/201.11 [762]~E(x7621,x7622)+E(f493(x7623,x7624,x7625,x7626,x7627,x7628,x7621),f493(x7623,x7624,x7625,x7626,x7627,x7628,x7622))
% 201.34/201.11 [763]~E(x7631,x7632)+E(f628(x7631,x7633,x7634,x7635,x7636),f628(x7632,x7633,x7634,x7635,x7636))
% 201.34/201.11 [764]~E(x7641,x7642)+E(f628(x7643,x7641,x7644,x7645,x7646),f628(x7643,x7642,x7644,x7645,x7646))
% 201.34/201.11 [765]~E(x7651,x7652)+E(f628(x7653,x7654,x7651,x7655,x7656),f628(x7653,x7654,x7652,x7655,x7656))
% 201.34/201.11 [766]~E(x7661,x7662)+E(f628(x7663,x7664,x7665,x7661,x7666),f628(x7663,x7664,x7665,x7662,x7666))
% 201.34/201.11 [767]~E(x7671,x7672)+E(f628(x7673,x7674,x7675,x7676,x7671),f628(x7673,x7674,x7675,x7676,x7672))
% 201.34/201.11 [768]~E(x7681,x7682)+E(f175(x7681),f175(x7682))
% 201.34/201.11 [769]~E(x7691,x7692)+E(f749(x7691,x7693,x7694),f749(x7692,x7693,x7694))
% 201.34/201.11 [770]~E(x7701,x7702)+E(f749(x7703,x7701,x7704),f749(x7703,x7702,x7704))
% 201.34/201.11 [771]~E(x7711,x7712)+E(f749(x7713,x7714,x7711),f749(x7713,x7714,x7712))
% 201.34/201.11 [772]~E(x7721,x7722)+E(f225(x7721,x7723),f225(x7722,x7723))
% 201.34/201.11 [773]~E(x7731,x7732)+E(f225(x7733,x7731),f225(x7733,x7732))
% 201.34/201.11 [774]~E(x7741,x7742)+E(f845(x7741,x7743,x7744),f845(x7742,x7743,x7744))
% 201.34/201.11 [775]~E(x7751,x7752)+E(f845(x7753,x7751,x7754),f845(x7753,x7752,x7754))
% 201.34/201.11 [776]~E(x7761,x7762)+E(f845(x7763,x7764,x7761),f845(x7763,x7764,x7762))
% 201.34/201.11 [777]~E(x7771,x7772)+E(f837(x7771,x7773,x7774,x7775,x7776,x7777,x7778),f837(x7772,x7773,x7774,x7775,x7776,x7777,x7778))
% 201.34/201.11 [778]~E(x7781,x7782)+E(f837(x7783,x7781,x7784,x7785,x7786,x7787,x7788),f837(x7783,x7782,x7784,x7785,x7786,x7787,x7788))
% 201.34/201.11 [779]~E(x7791,x7792)+E(f837(x7793,x7794,x7791,x7795,x7796,x7797,x7798),f837(x7793,x7794,x7792,x7795,x7796,x7797,x7798))
% 201.34/201.11 [780]~E(x7801,x7802)+E(f837(x7803,x7804,x7805,x7801,x7806,x7807,x7808),f837(x7803,x7804,x7805,x7802,x7806,x7807,x7808))
% 201.34/201.11 [781]~E(x7811,x7812)+E(f837(x7813,x7814,x7815,x7816,x7811,x7817,x7818),f837(x7813,x7814,x7815,x7816,x7812,x7817,x7818))
% 201.34/201.11 [782]~E(x7821,x7822)+E(f837(x7823,x7824,x7825,x7826,x7827,x7821,x7828),f837(x7823,x7824,x7825,x7826,x7827,x7822,x7828))
% 201.34/201.11 [783]~E(x7831,x7832)+E(f837(x7833,x7834,x7835,x7836,x7837,x7838,x7831),f837(x7833,x7834,x7835,x7836,x7837,x7838,x7832))
% 201.34/201.11 [784]~E(x7841,x7842)+E(f438(x7841,x7843),f438(x7842,x7843))
% 201.34/201.11 [785]~E(x7851,x7852)+E(f438(x7853,x7851),f438(x7853,x7852))
% 201.34/201.11 [786]~E(x7861,x7862)+E(f258(x7861,x7863),f258(x7862,x7863))
% 201.34/201.11 [787]~E(x7871,x7872)+E(f258(x7873,x7871),f258(x7873,x7872))
% 201.34/201.11 [788]~E(x7881,x7882)+E(f649(x7881,x7883,x7884),f649(x7882,x7883,x7884))
% 201.34/201.11 [789]~E(x7891,x7892)+E(f649(x7893,x7891,x7894),f649(x7893,x7892,x7894))
% 201.34/201.11 [790]~E(x7901,x7902)+E(f649(x7903,x7904,x7901),f649(x7903,x7904,x7902))
% 201.34/201.11 [791]~E(x7911,x7912)+E(f334(x7911,x7913,x7914),f334(x7912,x7913,x7914))
% 201.34/201.11 [792]~E(x7921,x7922)+E(f334(x7923,x7921,x7924),f334(x7923,x7922,x7924))
% 201.34/201.11 [793]~E(x7931,x7932)+E(f334(x7933,x7934,x7931),f334(x7933,x7934,x7932))
% 201.34/201.11 [794]~E(x7941,x7942)+E(f847(x7941,x7943,x7944,x7945),f847(x7942,x7943,x7944,x7945))
% 201.34/201.11 [795]~E(x7951,x7952)+E(f847(x7953,x7951,x7954,x7955),f847(x7953,x7952,x7954,x7955))
% 201.34/201.11 [796]~E(x7961,x7962)+E(f847(x7963,x7964,x7961,x7965),f847(x7963,x7964,x7962,x7965))
% 201.34/201.11 [797]~E(x7971,x7972)+E(f847(x7973,x7974,x7975,x7971),f847(x7973,x7974,x7975,x7972))
% 201.34/201.11 [798]~E(x7981,x7982)+E(f690(x7981,x7983,x7984),f690(x7982,x7983,x7984))
% 201.34/201.11 [799]~E(x7991,x7992)+E(f690(x7993,x7991,x7994),f690(x7993,x7992,x7994))
% 201.34/201.11 [800]~E(x8001,x8002)+E(f690(x8003,x8004,x8001),f690(x8003,x8004,x8002))
% 201.34/201.11 [801]~E(x8011,x8012)+E(f602(x8011,x8013,x8014),f602(x8012,x8013,x8014))
% 201.34/201.11 [802]~E(x8021,x8022)+E(f602(x8023,x8021,x8024),f602(x8023,x8022,x8024))
% 201.34/201.11 [803]~E(x8031,x8032)+E(f602(x8033,x8034,x8031),f602(x8033,x8034,x8032))
% 201.34/201.11 [804]~E(x8041,x8042)+E(f593(x8041,x8043),f593(x8042,x8043))
% 201.34/201.11 [805]~E(x8051,x8052)+E(f593(x8053,x8051),f593(x8053,x8052))
% 201.34/201.11 [806]~E(x8061,x8062)+E(f409(x8061,x8063,x8064,x8065),f409(x8062,x8063,x8064,x8065))
% 201.34/201.11 [807]~E(x8071,x8072)+E(f409(x8073,x8071,x8074,x8075),f409(x8073,x8072,x8074,x8075))
% 201.34/201.11 [808]~E(x8081,x8082)+E(f409(x8083,x8084,x8081,x8085),f409(x8083,x8084,x8082,x8085))
% 201.34/201.11 [809]~E(x8091,x8092)+E(f409(x8093,x8094,x8095,x8091),f409(x8093,x8094,x8095,x8092))
% 201.34/201.11 [810]~E(x8101,x8102)+E(f421(x8101,x8103,x8104,x8105),f421(x8102,x8103,x8104,x8105))
% 201.34/201.11 [811]~E(x8111,x8112)+E(f421(x8113,x8111,x8114,x8115),f421(x8113,x8112,x8114,x8115))
% 201.34/201.11 [812]~E(x8121,x8122)+E(f421(x8123,x8124,x8121,x8125),f421(x8123,x8124,x8122,x8125))
% 201.34/201.11 [813]~E(x8131,x8132)+E(f421(x8133,x8134,x8135,x8131),f421(x8133,x8134,x8135,x8132))
% 201.34/201.11 [814]~E(x8141,x8142)+E(f726(x8141,x8143,x8144,x8145,x8146,x8147,x8148),f726(x8142,x8143,x8144,x8145,x8146,x8147,x8148))
% 201.34/201.11 [815]~E(x8151,x8152)+E(f726(x8153,x8151,x8154,x8155,x8156,x8157,x8158),f726(x8153,x8152,x8154,x8155,x8156,x8157,x8158))
% 201.34/201.11 [816]~E(x8161,x8162)+E(f726(x8163,x8164,x8161,x8165,x8166,x8167,x8168),f726(x8163,x8164,x8162,x8165,x8166,x8167,x8168))
% 201.34/201.11 [817]~E(x8171,x8172)+E(f726(x8173,x8174,x8175,x8171,x8176,x8177,x8178),f726(x8173,x8174,x8175,x8172,x8176,x8177,x8178))
% 201.34/201.11 [818]~E(x8181,x8182)+E(f726(x8183,x8184,x8185,x8186,x8181,x8187,x8188),f726(x8183,x8184,x8185,x8186,x8182,x8187,x8188))
% 201.34/201.11 [819]~E(x8191,x8192)+E(f726(x8193,x8194,x8195,x8196,x8197,x8191,x8198),f726(x8193,x8194,x8195,x8196,x8197,x8192,x8198))
% 201.34/201.11 [820]~E(x8201,x8202)+E(f726(x8203,x8204,x8205,x8206,x8207,x8208,x8201),f726(x8203,x8204,x8205,x8206,x8207,x8208,x8202))
% 201.34/201.11 [821]~E(x8211,x8212)+E(f179(x8211,x8213,x8214,x8215),f179(x8212,x8213,x8214,x8215))
% 201.34/201.11 [822]~E(x8221,x8222)+E(f179(x8223,x8221,x8224,x8225),f179(x8223,x8222,x8224,x8225))
% 201.34/201.11 [823]~E(x8231,x8232)+E(f179(x8233,x8234,x8231,x8235),f179(x8233,x8234,x8232,x8235))
% 201.34/201.11 [824]~E(x8241,x8242)+E(f179(x8243,x8244,x8245,x8241),f179(x8243,x8244,x8245,x8242))
% 201.34/201.11 [825]~E(x8251,x8252)+E(f356(x8251,x8253),f356(x8252,x8253))
% 201.34/201.11 [826]~E(x8261,x8262)+E(f356(x8263,x8261),f356(x8263,x8262))
% 201.34/201.11 [827]~E(x8271,x8272)+E(f187(x8271,x8273,x8274,x8275),f187(x8272,x8273,x8274,x8275))
% 201.34/201.11 [828]~E(x8281,x8282)+E(f187(x8283,x8281,x8284,x8285),f187(x8283,x8282,x8284,x8285))
% 201.34/201.11 [829]~E(x8291,x8292)+E(f187(x8293,x8294,x8291,x8295),f187(x8293,x8294,x8292,x8295))
% 201.34/201.11 [830]~E(x8301,x8302)+E(f187(x8303,x8304,x8305,x8301),f187(x8303,x8304,x8305,x8302))
% 201.34/201.11 [831]~E(x8311,x8312)+E(f204(x8311,x8313),f204(x8312,x8313))
% 201.34/201.11 [832]~E(x8321,x8322)+E(f204(x8323,x8321),f204(x8323,x8322))
% 201.34/201.11 [833]~E(x8331,x8332)+E(f630(x8331,x8333),f630(x8332,x8333))
% 201.34/201.11 [834]~E(x8341,x8342)+E(f630(x8343,x8341),f630(x8343,x8342))
% 201.34/201.11 [835]~E(x8351,x8352)+E(f211(x8351,x8353,x8354),f211(x8352,x8353,x8354))
% 201.34/201.11 [836]~E(x8361,x8362)+E(f211(x8363,x8361,x8364),f211(x8363,x8362,x8364))
% 201.34/201.11 [837]~E(x8371,x8372)+E(f211(x8373,x8374,x8371),f211(x8373,x8374,x8372))
% 201.34/201.11 [838]~E(x8381,x8382)+E(f249(x8381,x8383,x8384,x8385,x8386),f249(x8382,x8383,x8384,x8385,x8386))
% 201.34/201.11 [839]~E(x8391,x8392)+E(f249(x8393,x8391,x8394,x8395,x8396),f249(x8393,x8392,x8394,x8395,x8396))
% 201.34/201.11 [840]~E(x8401,x8402)+E(f249(x8403,x8404,x8401,x8405,x8406),f249(x8403,x8404,x8402,x8405,x8406))
% 201.34/201.11 [841]~E(x8411,x8412)+E(f249(x8413,x8414,x8415,x8411,x8416),f249(x8413,x8414,x8415,x8412,x8416))
% 201.34/201.11 [842]~E(x8421,x8422)+E(f249(x8423,x8424,x8425,x8426,x8421),f249(x8423,x8424,x8425,x8426,x8422))
% 201.34/201.11 [843]~E(x8431,x8432)+E(f369(x8431,x8433),f369(x8432,x8433))
% 201.34/201.11 [844]~E(x8441,x8442)+E(f369(x8443,x8441),f369(x8443,x8442))
% 201.34/201.11 [845]~E(x8451,x8452)+E(f511(x8451,x8453,x8454,x8455,x8456),f511(x8452,x8453,x8454,x8455,x8456))
% 201.34/201.11 [846]~E(x8461,x8462)+E(f511(x8463,x8461,x8464,x8465,x8466),f511(x8463,x8462,x8464,x8465,x8466))
% 201.34/201.11 [847]~E(x8471,x8472)+E(f511(x8473,x8474,x8471,x8475,x8476),f511(x8473,x8474,x8472,x8475,x8476))
% 201.34/201.11 [848]~E(x8481,x8482)+E(f511(x8483,x8484,x8485,x8481,x8486),f511(x8483,x8484,x8485,x8482,x8486))
% 201.34/201.11 [849]~E(x8491,x8492)+E(f511(x8493,x8494,x8495,x8496,x8491),f511(x8493,x8494,x8495,x8496,x8492))
% 201.34/201.11 [850]~E(x8501,x8502)+E(f390(x8501,x8503),f390(x8502,x8503))
% 201.34/201.11 [851]~E(x8511,x8512)+E(f390(x8513,x8511),f390(x8513,x8512))
% 201.34/201.11 [852]~E(x8521,x8522)+E(f664(x8521,x8523,x8524,x8525),f664(x8522,x8523,x8524,x8525))
% 201.34/201.11 [853]~E(x8531,x8532)+E(f664(x8533,x8531,x8534,x8535),f664(x8533,x8532,x8534,x8535))
% 201.34/201.11 [854]~E(x8541,x8542)+E(f664(x8543,x8544,x8541,x8545),f664(x8543,x8544,x8542,x8545))
% 201.34/201.11 [855]~E(x8551,x8552)+E(f664(x8553,x8554,x8555,x8551),f664(x8553,x8554,x8555,x8552))
% 201.34/201.11 [856]~E(x8561,x8562)+E(f759(x8561,x8563,x8564),f759(x8562,x8563,x8564))
% 201.34/201.11 [857]~E(x8571,x8572)+E(f759(x8573,x8571,x8574),f759(x8573,x8572,x8574))
% 201.34/201.11 [858]~E(x8581,x8582)+E(f759(x8583,x8584,x8581),f759(x8583,x8584,x8582))
% 201.34/201.11 [859]~E(x8591,x8592)+E(f725(x8591,x8593,x8594,x8595,x8596,x8597,x8598),f725(x8592,x8593,x8594,x8595,x8596,x8597,x8598))
% 201.34/201.11 [860]~E(x8601,x8602)+E(f725(x8603,x8601,x8604,x8605,x8606,x8607,x8608),f725(x8603,x8602,x8604,x8605,x8606,x8607,x8608))
% 201.34/201.11 [861]~E(x8611,x8612)+E(f725(x8613,x8614,x8611,x8615,x8616,x8617,x8618),f725(x8613,x8614,x8612,x8615,x8616,x8617,x8618))
% 201.34/201.11 [862]~E(x8621,x8622)+E(f725(x8623,x8624,x8625,x8621,x8626,x8627,x8628),f725(x8623,x8624,x8625,x8622,x8626,x8627,x8628))
% 201.34/201.11 [863]~E(x8631,x8632)+E(f725(x8633,x8634,x8635,x8636,x8631,x8637,x8638),f725(x8633,x8634,x8635,x8636,x8632,x8637,x8638))
% 201.34/201.11 [864]~E(x8641,x8642)+E(f725(x8643,x8644,x8645,x8646,x8647,x8641,x8648),f725(x8643,x8644,x8645,x8646,x8647,x8642,x8648))
% 201.34/201.11 [865]~E(x8651,x8652)+E(f725(x8653,x8654,x8655,x8656,x8657,x8658,x8651),f725(x8653,x8654,x8655,x8656,x8657,x8658,x8652))
% 201.34/201.11 [866]~E(x8661,x8662)+E(f784(x8661,x8663),f784(x8662,x8663))
% 201.34/201.11 [867]~E(x8671,x8672)+E(f784(x8673,x8671),f784(x8673,x8672))
% 201.34/201.11 [868]~E(x8681,x8682)+E(f389(x8681,x8683),f389(x8682,x8683))
% 201.34/201.11 [869]~E(x8691,x8692)+E(f389(x8693,x8691),f389(x8693,x8692))
% 201.34/201.11 [870]~E(x8701,x8702)+E(f294(x8701,x8703,x8704),f294(x8702,x8703,x8704))
% 201.34/201.11 [871]~E(x8711,x8712)+E(f294(x8713,x8711,x8714),f294(x8713,x8712,x8714))
% 201.34/201.11 [872]~E(x8721,x8722)+E(f294(x8723,x8724,x8721),f294(x8723,x8724,x8722))
% 201.34/201.11 [873]~E(x8731,x8732)+E(f363(x8731,x8733,x8734),f363(x8732,x8733,x8734))
% 201.34/201.11 [874]~E(x8741,x8742)+E(f363(x8743,x8741,x8744),f363(x8743,x8742,x8744))
% 201.34/201.11 [875]~E(x8751,x8752)+E(f363(x8753,x8754,x8751),f363(x8753,x8754,x8752))
% 201.34/201.11 [876]~E(x8761,x8762)+E(f292(x8761),f292(x8762))
% 201.34/201.11 [877]~E(x8771,x8772)+E(f255(x8771),f255(x8772))
% 201.34/201.11 [878]~E(x8781,x8782)+E(f887(x8781,x8783),f887(x8782,x8783))
% 201.34/201.11 [879]~E(x8791,x8792)+E(f887(x8793,x8791),f887(x8793,x8792))
% 201.34/201.11 [880]~E(x8801,x8802)+E(f575(x8801,x8803,x8804),f575(x8802,x8803,x8804))
% 201.34/201.11 [881]~E(x8811,x8812)+E(f575(x8813,x8811,x8814),f575(x8813,x8812,x8814))
% 201.34/201.11 [882]~E(x8821,x8822)+E(f575(x8823,x8824,x8821),f575(x8823,x8824,x8822))
% 201.34/201.11 [883]~E(x8831,x8832)+E(f882(x8831,x8833,x8834),f882(x8832,x8833,x8834))
% 201.34/201.11 [884]~E(x8841,x8842)+E(f882(x8843,x8841,x8844),f882(x8843,x8842,x8844))
% 201.34/201.11 [885]~E(x8851,x8852)+E(f882(x8853,x8854,x8851),f882(x8853,x8854,x8852))
% 201.34/201.11 [886]~E(x8861,x8862)+E(f600(x8861,x8863,x8864,x8865,x8866,x8867,x8868),f600(x8862,x8863,x8864,x8865,x8866,x8867,x8868))
% 201.34/201.11 [887]~E(x8871,x8872)+E(f600(x8873,x8871,x8874,x8875,x8876,x8877,x8878),f600(x8873,x8872,x8874,x8875,x8876,x8877,x8878))
% 201.34/201.11 [888]~E(x8881,x8882)+E(f600(x8883,x8884,x8881,x8885,x8886,x8887,x8888),f600(x8883,x8884,x8882,x8885,x8886,x8887,x8888))
% 201.34/201.11 [889]~E(x8891,x8892)+E(f600(x8893,x8894,x8895,x8891,x8896,x8897,x8898),f600(x8893,x8894,x8895,x8892,x8896,x8897,x8898))
% 201.34/201.11 [890]~E(x8901,x8902)+E(f600(x8903,x8904,x8905,x8906,x8901,x8907,x8908),f600(x8903,x8904,x8905,x8906,x8902,x8907,x8908))
% 201.34/201.11 [891]~E(x8911,x8912)+E(f600(x8913,x8914,x8915,x8916,x8917,x8911,x8918),f600(x8913,x8914,x8915,x8916,x8917,x8912,x8918))
% 201.34/201.11 [892]~E(x8921,x8922)+E(f600(x8923,x8924,x8925,x8926,x8927,x8928,x8921),f600(x8923,x8924,x8925,x8926,x8927,x8928,x8922))
% 201.34/201.11 [893]~E(x8931,x8932)+E(f115(x8931,x8933,x8934),f115(x8932,x8933,x8934))
% 201.34/201.11 [894]~E(x8941,x8942)+E(f115(x8943,x8941,x8944),f115(x8943,x8942,x8944))
% 201.34/201.11 [895]~E(x8951,x8952)+E(f115(x8953,x8954,x8951),f115(x8953,x8954,x8952))
% 201.34/201.11 [896]~E(x8961,x8962)+E(f857(x8961,x8963,x8964,x8965,x8966),f857(x8962,x8963,x8964,x8965,x8966))
% 201.34/201.11 [897]~E(x8971,x8972)+E(f857(x8973,x8971,x8974,x8975,x8976),f857(x8973,x8972,x8974,x8975,x8976))
% 201.34/201.11 [898]~E(x8981,x8982)+E(f857(x8983,x8984,x8981,x8985,x8986),f857(x8983,x8984,x8982,x8985,x8986))
% 201.34/201.11 [899]~E(x8991,x8992)+E(f857(x8993,x8994,x8995,x8991,x8996),f857(x8993,x8994,x8995,x8992,x8996))
% 201.34/201.11 [900]~E(x9001,x9002)+E(f857(x9003,x9004,x9005,x9006,x9001),f857(x9003,x9004,x9005,x9006,x9002))
% 201.34/201.11 [901]~E(x9011,x9012)+E(f381(x9011,x9013,x9014),f381(x9012,x9013,x9014))
% 201.34/201.11 [902]~E(x9021,x9022)+E(f381(x9023,x9021,x9024),f381(x9023,x9022,x9024))
% 201.34/201.11 [903]~E(x9031,x9032)+E(f381(x9033,x9034,x9031),f381(x9033,x9034,x9032))
% 201.34/201.11 [904]~E(x9041,x9042)+E(f698(x9041,x9043),f698(x9042,x9043))
% 201.34/201.11 [905]~E(x9051,x9052)+E(f698(x9053,x9051),f698(x9053,x9052))
% 201.34/201.11 [906]~E(x9061,x9062)+E(f454(x9061,x9063),f454(x9062,x9063))
% 201.34/201.11 [907]~E(x9071,x9072)+E(f454(x9073,x9071),f454(x9073,x9072))
% 201.34/201.11 [908]~E(x9081,x9082)+E(f181(x9081,x9083),f181(x9082,x9083))
% 201.34/201.11 [909]~E(x9091,x9092)+E(f181(x9093,x9091),f181(x9093,x9092))
% 201.34/201.11 [910]~E(x9101,x9102)+E(f367(x9101,x9103,x9104,x9105),f367(x9102,x9103,x9104,x9105))
% 201.34/201.11 [911]~E(x9111,x9112)+E(f367(x9113,x9111,x9114,x9115),f367(x9113,x9112,x9114,x9115))
% 201.34/201.11 [912]~E(x9121,x9122)+E(f367(x9123,x9124,x9121,x9125),f367(x9123,x9124,x9122,x9125))
% 201.34/201.11 [913]~E(x9131,x9132)+E(f367(x9133,x9134,x9135,x9131),f367(x9133,x9134,x9135,x9132))
% 201.34/201.11 [914]~E(x9141,x9142)+E(f110(x9141,x9143),f110(x9142,x9143))
% 201.34/201.11 [915]~E(x9151,x9152)+E(f110(x9153,x9151),f110(x9153,x9152))
% 201.34/201.11 [916]~E(x9161,x9162)+E(f733(x9161,x9163,x9164),f733(x9162,x9163,x9164))
% 201.34/201.11 [917]~E(x9171,x9172)+E(f733(x9173,x9171,x9174),f733(x9173,x9172,x9174))
% 201.34/201.11 [918]~E(x9181,x9182)+E(f733(x9183,x9184,x9181),f733(x9183,x9184,x9182))
% 201.34/201.11 [919]~E(x9191,x9192)+E(f559(x9191,x9193),f559(x9192,x9193))
% 201.34/201.11 [920]~E(x9201,x9202)+E(f559(x9203,x9201),f559(x9203,x9202))
% 201.34/201.11 [921]~E(x9211,x9212)+E(f368(x9211,x9213,x9214,x9215),f368(x9212,x9213,x9214,x9215))
% 201.34/201.11 [922]~E(x9221,x9222)+E(f368(x9223,x9221,x9224,x9225),f368(x9223,x9222,x9224,x9225))
% 201.34/201.11 [923]~E(x9231,x9232)+E(f368(x9233,x9234,x9231,x9235),f368(x9233,x9234,x9232,x9235))
% 201.34/201.11 [924]~E(x9241,x9242)+E(f368(x9243,x9244,x9245,x9241),f368(x9243,x9244,x9245,x9242))
% 201.34/201.11 [925]~E(x9251,x9252)+E(f497(x9251,x9253,x9254,x9255),f497(x9252,x9253,x9254,x9255))
% 201.34/201.11 [926]~E(x9261,x9262)+E(f497(x9263,x9261,x9264,x9265),f497(x9263,x9262,x9264,x9265))
% 201.34/201.11 [927]~E(x9271,x9272)+E(f497(x9273,x9274,x9271,x9275),f497(x9273,x9274,x9272,x9275))
% 201.34/201.11 [928]~E(x9281,x9282)+E(f497(x9283,x9284,x9285,x9281),f497(x9283,x9284,x9285,x9282))
% 201.34/201.11 [929]~E(x9291,x9292)+E(f758(x9291,x9293,x9294,x9295),f758(x9292,x9293,x9294,x9295))
% 201.34/201.11 [930]~E(x9301,x9302)+E(f758(x9303,x9301,x9304,x9305),f758(x9303,x9302,x9304,x9305))
% 201.34/201.11 [931]~E(x9311,x9312)+E(f758(x9313,x9314,x9311,x9315),f758(x9313,x9314,x9312,x9315))
% 201.34/201.11 [932]~E(x9321,x9322)+E(f758(x9323,x9324,x9325,x9321),f758(x9323,x9324,x9325,x9322))
% 201.34/201.11 [933]~E(x9331,x9332)+E(f849(x9331,x9333,x9334),f849(x9332,x9333,x9334))
% 201.34/201.11 [934]~E(x9341,x9342)+E(f849(x9343,x9341,x9344),f849(x9343,x9342,x9344))
% 201.34/201.11 [935]~E(x9351,x9352)+E(f849(x9353,x9354,x9351),f849(x9353,x9354,x9352))
% 201.34/201.11 [936]~E(x9361,x9362)+E(f300(x9361,x9363),f300(x9362,x9363))
% 201.34/201.11 [937]~E(x9371,x9372)+E(f300(x9373,x9371),f300(x9373,x9372))
% 201.34/201.11 [938]~E(x9381,x9382)+E(f183(x9381,x9383),f183(x9382,x9383))
% 201.34/201.11 [939]~E(x9391,x9392)+E(f183(x9393,x9391),f183(x9393,x9392))
% 201.34/201.11 [940]~E(x9401,x9402)+E(f276(x9401,x9403),f276(x9402,x9403))
% 201.34/201.11 [941]~E(x9411,x9412)+E(f276(x9413,x9411),f276(x9413,x9412))
% 201.34/201.11 [942]~E(x9421,x9422)+E(f811(x9421,x9423,x9424,x9425,x9426,x9427),f811(x9422,x9423,x9424,x9425,x9426,x9427))
% 201.34/201.11 [943]~E(x9431,x9432)+E(f811(x9433,x9431,x9434,x9435,x9436,x9437),f811(x9433,x9432,x9434,x9435,x9436,x9437))
% 201.34/201.11 [944]~E(x9441,x9442)+E(f811(x9443,x9444,x9441,x9445,x9446,x9447),f811(x9443,x9444,x9442,x9445,x9446,x9447))
% 201.34/201.11 [945]~E(x9451,x9452)+E(f811(x9453,x9454,x9455,x9451,x9456,x9457),f811(x9453,x9454,x9455,x9452,x9456,x9457))
% 201.34/201.11 [946]~E(x9461,x9462)+E(f811(x9463,x9464,x9465,x9466,x9461,x9467),f811(x9463,x9464,x9465,x9466,x9462,x9467))
% 201.34/201.11 [947]~E(x9471,x9472)+E(f811(x9473,x9474,x9475,x9476,x9477,x9471),f811(x9473,x9474,x9475,x9476,x9477,x9472))
% 201.34/201.11 [948]~E(x9481,x9482)+E(f519(x9481,x9483,x9484),f519(x9482,x9483,x9484))
% 201.34/201.11 [949]~E(x9491,x9492)+E(f519(x9493,x9491,x9494),f519(x9493,x9492,x9494))
% 201.34/201.11 [950]~E(x9501,x9502)+E(f519(x9503,x9504,x9501),f519(x9503,x9504,x9502))
% 201.34/201.11 [951]~E(x9511,x9512)+E(f119(x9511,x9513,x9514,x9515),f119(x9512,x9513,x9514,x9515))
% 201.34/201.11 [952]~E(x9521,x9522)+E(f119(x9523,x9521,x9524,x9525),f119(x9523,x9522,x9524,x9525))
% 201.34/201.11 [953]~E(x9531,x9532)+E(f119(x9533,x9534,x9531,x9535),f119(x9533,x9534,x9532,x9535))
% 201.34/201.11 [954]~E(x9541,x9542)+E(f119(x9543,x9544,x9545,x9541),f119(x9543,x9544,x9545,x9542))
% 201.34/201.11 [955]~E(x9551,x9552)+E(f823(x9551,x9553,x9554,x9555),f823(x9552,x9553,x9554,x9555))
% 201.34/201.11 [956]~E(x9561,x9562)+E(f823(x9563,x9561,x9564,x9565),f823(x9563,x9562,x9564,x9565))
% 201.34/201.11 [957]~E(x9571,x9572)+E(f823(x9573,x9574,x9571,x9575),f823(x9573,x9574,x9572,x9575))
% 201.34/201.11 [958]~E(x9581,x9582)+E(f823(x9583,x9584,x9585,x9581),f823(x9583,x9584,x9585,x9582))
% 201.34/201.11 [959]~E(x9591,x9592)+E(f212(x9591,x9593,x9594,x9595,x9596),f212(x9592,x9593,x9594,x9595,x9596))
% 201.34/201.11 [960]~E(x9601,x9602)+E(f212(x9603,x9601,x9604,x9605,x9606),f212(x9603,x9602,x9604,x9605,x9606))
% 201.34/201.11 [961]~E(x9611,x9612)+E(f212(x9613,x9614,x9611,x9615,x9616),f212(x9613,x9614,x9612,x9615,x9616))
% 201.34/201.11 [962]~E(x9621,x9622)+E(f212(x9623,x9624,x9625,x9621,x9626),f212(x9623,x9624,x9625,x9622,x9626))
% 201.34/201.11 [963]~E(x9631,x9632)+E(f212(x9633,x9634,x9635,x9636,x9631),f212(x9633,x9634,x9635,x9636,x9632))
% 201.34/201.11 [964]~E(x9641,x9642)+E(f383(x9641,x9643,x9644),f383(x9642,x9643,x9644))
% 201.34/201.11 [965]~E(x9651,x9652)+E(f383(x9653,x9651,x9654),f383(x9653,x9652,x9654))
% 201.34/201.11 [966]~E(x9661,x9662)+E(f383(x9663,x9664,x9661),f383(x9663,x9664,x9662))
% 201.34/201.11 [967]~E(x9671,x9672)+E(f353(x9671,x9673,x9674),f353(x9672,x9673,x9674))
% 201.34/201.11 [968]~E(x9681,x9682)+E(f353(x9683,x9681,x9684),f353(x9683,x9682,x9684))
% 201.34/201.11 [969]~E(x9691,x9692)+E(f353(x9693,x9694,x9691),f353(x9693,x9694,x9692))
% 201.34/201.11 [970]~E(x9701,x9702)+E(f445(x9701,x9703,x9704,x9705,x9706),f445(x9702,x9703,x9704,x9705,x9706))
% 201.34/201.11 [971]~E(x9711,x9712)+E(f445(x9713,x9711,x9714,x9715,x9716),f445(x9713,x9712,x9714,x9715,x9716))
% 201.34/201.11 [972]~E(x9721,x9722)+E(f445(x9723,x9724,x9721,x9725,x9726),f445(x9723,x9724,x9722,x9725,x9726))
% 201.34/201.11 [973]~E(x9731,x9732)+E(f445(x9733,x9734,x9735,x9731,x9736),f445(x9733,x9734,x9735,x9732,x9736))
% 201.34/201.11 [974]~E(x9741,x9742)+E(f445(x9743,x9744,x9745,x9746,x9741),f445(x9743,x9744,x9745,x9746,x9742))
% 201.34/201.11 [975]~E(x9751,x9752)+E(f699(x9751,x9753),f699(x9752,x9753))
% 201.34/201.11 [976]~E(x9761,x9762)+E(f699(x9763,x9761),f699(x9763,x9762))
% 201.34/201.11 [977]~E(x9771,x9772)+E(f490(x9771,x9773,x9774,x9775),f490(x9772,x9773,x9774,x9775))
% 201.34/201.11 [978]~E(x9781,x9782)+E(f490(x9783,x9781,x9784,x9785),f490(x9783,x9782,x9784,x9785))
% 201.34/201.11 [979]~E(x9791,x9792)+E(f490(x9793,x9794,x9791,x9795),f490(x9793,x9794,x9792,x9795))
% 201.34/201.11 [980]~E(x9801,x9802)+E(f490(x9803,x9804,x9805,x9801),f490(x9803,x9804,x9805,x9802))
% 201.34/201.11 [981]~E(x9811,x9812)+E(f619(x9811,x9813),f619(x9812,x9813))
% 201.34/201.11 [982]~E(x9821,x9822)+E(f619(x9823,x9821),f619(x9823,x9822))
% 201.34/201.11 [983]~E(x9831,x9832)+E(f657(x9831,x9833,x9834),f657(x9832,x9833,x9834))
% 201.34/201.11 [984]~E(x9841,x9842)+E(f657(x9843,x9841,x9844),f657(x9843,x9842,x9844))
% 201.34/201.11 [985]~E(x9851,x9852)+E(f657(x9853,x9854,x9851),f657(x9853,x9854,x9852))
% 201.34/201.11 [986]~E(x9861,x9862)+E(f569(x9861,x9863,x9864,x9865,x9866,x9867),f569(x9862,x9863,x9864,x9865,x9866,x9867))
% 201.34/201.11 [987]~E(x9871,x9872)+E(f569(x9873,x9871,x9874,x9875,x9876,x9877),f569(x9873,x9872,x9874,x9875,x9876,x9877))
% 201.34/201.11 [988]~E(x9881,x9882)+E(f569(x9883,x9884,x9881,x9885,x9886,x9887),f569(x9883,x9884,x9882,x9885,x9886,x9887))
% 201.34/201.11 [989]~E(x9891,x9892)+E(f569(x9893,x9894,x9895,x9891,x9896,x9897),f569(x9893,x9894,x9895,x9892,x9896,x9897))
% 201.34/201.11 [990]~E(x9901,x9902)+E(f569(x9903,x9904,x9905,x9906,x9901,x9907),f569(x9903,x9904,x9905,x9906,x9902,x9907))
% 201.34/201.11 [991]~E(x9911,x9912)+E(f569(x9913,x9914,x9915,x9916,x9917,x9911),f569(x9913,x9914,x9915,x9916,x9917,x9912))
% 201.34/201.11 [992]~E(x9921,x9922)+E(f456(x9921,x9923,x9924,x9925,x9926),f456(x9922,x9923,x9924,x9925,x9926))
% 201.34/201.11 [993]~E(x9931,x9932)+E(f456(x9933,x9931,x9934,x9935,x9936),f456(x9933,x9932,x9934,x9935,x9936))
% 201.34/201.11 [994]~E(x9941,x9942)+E(f456(x9943,x9944,x9941,x9945,x9946),f456(x9943,x9944,x9942,x9945,x9946))
% 201.34/201.11 [995]~E(x9951,x9952)+E(f456(x9953,x9954,x9955,x9951,x9956),f456(x9953,x9954,x9955,x9952,x9956))
% 201.34/201.11 [996]~E(x9961,x9962)+E(f456(x9963,x9964,x9965,x9966,x9961),f456(x9963,x9964,x9965,x9966,x9962))
% 201.34/201.11 [997]~E(x9971,x9972)+E(f756(x9971,x9973,x9974,x9975),f756(x9972,x9973,x9974,x9975))
% 201.34/201.11 [998]~E(x9981,x9982)+E(f756(x9983,x9981,x9984,x9985),f756(x9983,x9982,x9984,x9985))
% 201.34/201.11 [999]~E(x9991,x9992)+E(f756(x9993,x9994,x9991,x9995),f756(x9993,x9994,x9992,x9995))
% 201.34/201.11 [1000]~E(x10001,x10002)+E(f756(x10003,x10004,x10005,x10001),f756(x10003,x10004,x10005,x10002))
% 201.34/201.11 [1001]~E(x10011,x10012)+E(f553(x10011,x10013,x10014),f553(x10012,x10013,x10014))
% 201.34/201.11 [1002]~E(x10021,x10022)+E(f553(x10023,x10021,x10024),f553(x10023,x10022,x10024))
% 201.34/201.11 [1003]~E(x10031,x10032)+E(f553(x10033,x10034,x10031),f553(x10033,x10034,x10032))
% 201.34/201.11 [1004]~E(x10041,x10042)+E(f447(x10041,x10043,x10044,x10045,x10046),f447(x10042,x10043,x10044,x10045,x10046))
% 201.34/201.11 [1005]~E(x10051,x10052)+E(f447(x10053,x10051,x10054,x10055,x10056),f447(x10053,x10052,x10054,x10055,x10056))
% 201.34/201.11 [1006]~E(x10061,x10062)+E(f447(x10063,x10064,x10061,x10065,x10066),f447(x10063,x10064,x10062,x10065,x10066))
% 201.34/201.11 [1007]~E(x10071,x10072)+E(f447(x10073,x10074,x10075,x10071,x10076),f447(x10073,x10074,x10075,x10072,x10076))
% 201.34/201.11 [1008]~E(x10081,x10082)+E(f447(x10083,x10084,x10085,x10086,x10081),f447(x10083,x10084,x10085,x10086,x10082))
% 201.34/201.11 [1009]~E(x10091,x10092)+E(f84(x10091,x10093,x10094,x10095),f84(x10092,x10093,x10094,x10095))
% 201.34/201.11 [1010]~E(x10101,x10102)+E(f84(x10103,x10101,x10104,x10105),f84(x10103,x10102,x10104,x10105))
% 201.34/201.11 [1011]~E(x10111,x10112)+E(f84(x10113,x10114,x10111,x10115),f84(x10113,x10114,x10112,x10115))
% 201.34/201.11 [1012]~E(x10121,x10122)+E(f84(x10123,x10124,x10125,x10121),f84(x10123,x10124,x10125,x10122))
% 201.34/201.11 [1013]~E(x10131,x10132)+E(f878(x10131,x10133,x10134,x10135),f878(x10132,x10133,x10134,x10135))
% 201.34/201.11 [1014]~E(x10141,x10142)+E(f878(x10143,x10141,x10144,x10145),f878(x10143,x10142,x10144,x10145))
% 201.34/201.11 [1015]~E(x10151,x10152)+E(f878(x10153,x10154,x10151,x10155),f878(x10153,x10154,x10152,x10155))
% 201.34/201.11 [1016]~E(x10161,x10162)+E(f878(x10163,x10164,x10165,x10161),f878(x10163,x10164,x10165,x10162))
% 201.34/201.11 [1017]~E(x10171,x10172)+E(f118(x10171),f118(x10172))
% 201.34/201.11 [1018]~E(x10181,x10182)+E(f443(x10181,x10183,x10184,x10185),f443(x10182,x10183,x10184,x10185))
% 201.34/201.11 [1019]~E(x10191,x10192)+E(f443(x10193,x10191,x10194,x10195),f443(x10193,x10192,x10194,x10195))
% 201.34/201.11 [1020]~E(x10201,x10202)+E(f443(x10203,x10204,x10201,x10205),f443(x10203,x10204,x10202,x10205))
% 201.34/201.11 [1021]~E(x10211,x10212)+E(f443(x10213,x10214,x10215,x10211),f443(x10213,x10214,x10215,x10212))
% 201.34/201.11 [1022]~E(x10221,x10222)+E(f667(x10221,x10223,x10224,x10225,x10226),f667(x10222,x10223,x10224,x10225,x10226))
% 201.34/201.11 [1023]~E(x10231,x10232)+E(f667(x10233,x10231,x10234,x10235,x10236),f667(x10233,x10232,x10234,x10235,x10236))
% 201.34/201.11 [1024]~E(x10241,x10242)+E(f667(x10243,x10244,x10241,x10245,x10246),f667(x10243,x10244,x10242,x10245,x10246))
% 201.34/201.11 [1025]~E(x10251,x10252)+E(f667(x10253,x10254,x10255,x10251,x10256),f667(x10253,x10254,x10255,x10252,x10256))
% 201.34/201.11 [1026]~E(x10261,x10262)+E(f667(x10263,x10264,x10265,x10266,x10261),f667(x10263,x10264,x10265,x10266,x10262))
% 201.34/201.11 [1027]~E(x10271,x10272)+E(f289(x10271),f289(x10272))
% 201.34/201.11 [1028]~E(x10281,x10282)+E(f416(x10281,x10283,x10284,x10285),f416(x10282,x10283,x10284,x10285))
% 201.34/201.11 [1029]~E(x10291,x10292)+E(f416(x10293,x10291,x10294,x10295),f416(x10293,x10292,x10294,x10295))
% 201.34/201.11 [1030]~E(x10301,x10302)+E(f416(x10303,x10304,x10301,x10305),f416(x10303,x10304,x10302,x10305))
% 201.34/201.11 [1031]~E(x10311,x10312)+E(f416(x10313,x10314,x10315,x10311),f416(x10313,x10314,x10315,x10312))
% 201.34/201.11 [1032]~E(x10321,x10322)+E(f366(x10321,x10323,x10324),f366(x10322,x10323,x10324))
% 201.34/201.11 [1033]~E(x10331,x10332)+E(f366(x10333,x10331,x10334),f366(x10333,x10332,x10334))
% 201.34/201.11 [1034]~E(x10341,x10342)+E(f366(x10343,x10344,x10341),f366(x10343,x10344,x10342))
% 201.34/201.11 [1035]~E(x10351,x10352)+E(f671(x10351,x10353,x10354),f671(x10352,x10353,x10354))
% 201.34/201.11 [1036]~E(x10361,x10362)+E(f671(x10363,x10361,x10364),f671(x10363,x10362,x10364))
% 201.34/201.11 [1037]~E(x10371,x10372)+E(f671(x10373,x10374,x10371),f671(x10373,x10374,x10372))
% 201.34/201.11 [1038]~E(x10381,x10382)+E(f47(x10381,x10383),f47(x10382,x10383))
% 201.34/201.11 [1039]~E(x10391,x10392)+E(f47(x10393,x10391),f47(x10393,x10392))
% 201.34/201.11 [1040]~E(x10401,x10402)+E(f61(x10401,x10403,x10404),f61(x10402,x10403,x10404))
% 201.34/201.11 [1041]~E(x10411,x10412)+E(f61(x10413,x10411,x10414),f61(x10413,x10412,x10414))
% 201.34/201.11 [1042]~E(x10421,x10422)+E(f61(x10423,x10424,x10421),f61(x10423,x10424,x10422))
% 201.34/201.11 [1043]~E(x10431,x10432)+E(f629(x10431,x10433,x10434,x10435,x10436),f629(x10432,x10433,x10434,x10435,x10436))
% 201.34/201.11 [1044]~E(x10441,x10442)+E(f629(x10443,x10441,x10444,x10445,x10446),f629(x10443,x10442,x10444,x10445,x10446))
% 201.34/201.11 [1045]~E(x10451,x10452)+E(f629(x10453,x10454,x10451,x10455,x10456),f629(x10453,x10454,x10452,x10455,x10456))
% 201.34/201.11 [1046]~E(x10461,x10462)+E(f629(x10463,x10464,x10465,x10461,x10466),f629(x10463,x10464,x10465,x10462,x10466))
% 201.34/201.11 [1047]~E(x10471,x10472)+E(f629(x10473,x10474,x10475,x10476,x10471),f629(x10473,x10474,x10475,x10476,x10472))
% 201.34/201.11 [1048]~E(x10481,x10482)+E(f590(x10481,x10483,x10484,x10485,x10486,x10487,x10488,x10489),f590(x10482,x10483,x10484,x10485,x10486,x10487,x10488,x10489))
% 201.34/201.11 [1049]~E(x10491,x10492)+E(f590(x10493,x10491,x10494,x10495,x10496,x10497,x10498,x10499),f590(x10493,x10492,x10494,x10495,x10496,x10497,x10498,x10499))
% 201.34/201.11 [1050]~E(x10501,x10502)+E(f590(x10503,x10504,x10501,x10505,x10506,x10507,x10508,x10509),f590(x10503,x10504,x10502,x10505,x10506,x10507,x10508,x10509))
% 201.34/201.11 [1051]~E(x10511,x10512)+E(f590(x10513,x10514,x10515,x10511,x10516,x10517,x10518,x10519),f590(x10513,x10514,x10515,x10512,x10516,x10517,x10518,x10519))
% 201.34/201.11 [1052]~E(x10521,x10522)+E(f590(x10523,x10524,x10525,x10526,x10521,x10527,x10528,x10529),f590(x10523,x10524,x10525,x10526,x10522,x10527,x10528,x10529))
% 201.34/201.11 [1053]~E(x10531,x10532)+E(f590(x10533,x10534,x10535,x10536,x10537,x10531,x10538,x10539),f590(x10533,x10534,x10535,x10536,x10537,x10532,x10538,x10539))
% 201.34/201.11 [1054]~E(x10541,x10542)+E(f590(x10543,x10544,x10545,x10546,x10547,x10548,x10541,x10549),f590(x10543,x10544,x10545,x10546,x10547,x10548,x10542,x10549))
% 201.34/201.11 [1055]~E(x10551,x10552)+E(f590(x10553,x10554,x10555,x10556,x10557,x10558,x10559,x10551),f590(x10553,x10554,x10555,x10556,x10557,x10558,x10559,x10552))
% 201.34/201.11 [1056]~E(x10561,x10562)+E(f34(x10561),f34(x10562))
% 201.34/201.11 [1057]~E(x10571,x10572)+E(f655(x10571,x10573,x10574),f655(x10572,x10573,x10574))
% 201.34/201.11 [1058]~E(x10581,x10582)+E(f655(x10583,x10581,x10584),f655(x10583,x10582,x10584))
% 201.34/201.11 [1059]~E(x10591,x10592)+E(f655(x10593,x10594,x10591),f655(x10593,x10594,x10592))
% 201.34/201.11 [1060]~E(x10601,x10602)+E(f793(x10601,x10603),f793(x10602,x10603))
% 201.34/201.11 [1061]~E(x10611,x10612)+E(f793(x10613,x10611),f793(x10613,x10612))
% 201.34/201.11 [1062]~E(x10621,x10622)+E(f468(x10621,x10623,x10624),f468(x10622,x10623,x10624))
% 201.34/201.11 [1063]~E(x10631,x10632)+E(f468(x10633,x10631,x10634),f468(x10633,x10632,x10634))
% 201.34/201.11 [1064]~E(x10641,x10642)+E(f468(x10643,x10644,x10641),f468(x10643,x10644,x10642))
% 201.34/201.11 [1065]~E(x10651,x10652)+E(f859(x10651,x10653,x10654,x10655,x10656),f859(x10652,x10653,x10654,x10655,x10656))
% 201.34/201.11 [1066]~E(x10661,x10662)+E(f859(x10663,x10661,x10664,x10665,x10666),f859(x10663,x10662,x10664,x10665,x10666))
% 201.34/201.11 [1067]~E(x10671,x10672)+E(f859(x10673,x10674,x10671,x10675,x10676),f859(x10673,x10674,x10672,x10675,x10676))
% 201.34/201.11 [1068]~E(x10681,x10682)+E(f859(x10683,x10684,x10685,x10681,x10686),f859(x10683,x10684,x10685,x10682,x10686))
% 201.34/201.11 [1069]~E(x10691,x10692)+E(f859(x10693,x10694,x10695,x10696,x10691),f859(x10693,x10694,x10695,x10696,x10692))
% 201.34/201.11 [1070]~E(x10701,x10702)+E(f145(x10701,x10703,x10704,x10705),f145(x10702,x10703,x10704,x10705))
% 201.34/201.11 [1071]~E(x10711,x10712)+E(f145(x10713,x10711,x10714,x10715),f145(x10713,x10712,x10714,x10715))
% 201.34/201.11 [1072]~E(x10721,x10722)+E(f145(x10723,x10724,x10721,x10725),f145(x10723,x10724,x10722,x10725))
% 201.34/201.11 [1073]~E(x10731,x10732)+E(f145(x10733,x10734,x10735,x10731),f145(x10733,x10734,x10735,x10732))
% 201.34/201.11 [1074]~E(x10741,x10742)+E(f486(x10741,x10743,x10744,x10745),f486(x10742,x10743,x10744,x10745))
% 201.34/201.11 [1075]~E(x10751,x10752)+E(f486(x10753,x10751,x10754,x10755),f486(x10753,x10752,x10754,x10755))
% 201.34/201.11 [1076]~E(x10761,x10762)+E(f486(x10763,x10764,x10761,x10765),f486(x10763,x10764,x10762,x10765))
% 201.34/201.11 [1077]~E(x10771,x10772)+E(f486(x10773,x10774,x10775,x10771),f486(x10773,x10774,x10775,x10772))
% 201.34/201.11 [1078]~E(x10781,x10782)+E(f727(x10781,x10783),f727(x10782,x10783))
% 201.34/201.11 [1079]~E(x10791,x10792)+E(f727(x10793,x10791),f727(x10793,x10792))
% 201.34/201.11 [1080]~E(x10801,x10802)+E(f401(x10801,x10803,x10804,x10805,x10806),f401(x10802,x10803,x10804,x10805,x10806))
% 201.34/201.11 [1081]~E(x10811,x10812)+E(f401(x10813,x10811,x10814,x10815,x10816),f401(x10813,x10812,x10814,x10815,x10816))
% 201.34/201.11 [1082]~E(x10821,x10822)+E(f401(x10823,x10824,x10821,x10825,x10826),f401(x10823,x10824,x10822,x10825,x10826))
% 201.34/201.11 [1083]~E(x10831,x10832)+E(f401(x10833,x10834,x10835,x10831,x10836),f401(x10833,x10834,x10835,x10832,x10836))
% 201.34/201.11 [1084]~E(x10841,x10842)+E(f401(x10843,x10844,x10845,x10846,x10841),f401(x10843,x10844,x10845,x10846,x10842))
% 201.34/201.11 [1085]~E(x10851,x10852)+E(f576(x10851,x10853,x10854),f576(x10852,x10853,x10854))
% 201.34/201.11 [1086]~E(x10861,x10862)+E(f576(x10863,x10861,x10864),f576(x10863,x10862,x10864))
% 201.34/201.11 [1087]~E(x10871,x10872)+E(f576(x10873,x10874,x10871),f576(x10873,x10874,x10872))
% 201.34/201.11 [1088]~E(x10881,x10882)+E(f538(x10881,x10883,x10884,x10885),f538(x10882,x10883,x10884,x10885))
% 201.34/201.11 [1089]~E(x10891,x10892)+E(f538(x10893,x10891,x10894,x10895),f538(x10893,x10892,x10894,x10895))
% 201.34/201.11 [1090]~E(x10901,x10902)+E(f538(x10903,x10904,x10901,x10905),f538(x10903,x10904,x10902,x10905))
% 201.34/201.11 [1091]~E(x10911,x10912)+E(f538(x10913,x10914,x10915,x10911),f538(x10913,x10914,x10915,x10912))
% 201.34/201.11 [1092]~E(x10921,x10922)+E(f746(x10921,x10923,x10924,x10925),f746(x10922,x10923,x10924,x10925))
% 201.34/201.11 [1093]~E(x10931,x10932)+E(f746(x10933,x10931,x10934,x10935),f746(x10933,x10932,x10934,x10935))
% 201.34/201.11 [1094]~E(x10941,x10942)+E(f746(x10943,x10944,x10941,x10945),f746(x10943,x10944,x10942,x10945))
% 201.34/201.11 [1095]~E(x10951,x10952)+E(f746(x10953,x10954,x10955,x10951),f746(x10953,x10954,x10955,x10952))
% 201.34/201.11 [1096]~E(x10961,x10962)+E(f342(x10961),f342(x10962))
% 201.34/201.11 [1097]~E(x10971,x10972)+E(f39(x10971,x10973),f39(x10972,x10973))
% 201.34/201.11 [1098]~E(x10981,x10982)+E(f39(x10983,x10981),f39(x10983,x10982))
% 201.34/201.11 [1099]~E(x10991,x10992)+E(f105(x10991,x10993,x10994),f105(x10992,x10993,x10994))
% 201.34/201.11 [1100]~E(x11001,x11002)+E(f105(x11003,x11001,x11004),f105(x11003,x11002,x11004))
% 201.34/201.11 [1101]~E(x11011,x11012)+E(f105(x11013,x11014,x11011),f105(x11013,x11014,x11012))
% 201.34/201.11 [1102]~E(x11021,x11022)+E(f49(x11021),f49(x11022))
% 201.34/201.11 [1103]~E(x11031,x11032)+E(f668(x11031,x11033,x11034),f668(x11032,x11033,x11034))
% 201.34/201.11 [1104]~E(x11041,x11042)+E(f668(x11043,x11041,x11044),f668(x11043,x11042,x11044))
% 201.34/201.11 [1105]~E(x11051,x11052)+E(f668(x11053,x11054,x11051),f668(x11053,x11054,x11052))
% 201.34/201.11 [1106]~E(x11061,x11062)+E(f703(x11061,x11063),f703(x11062,x11063))
% 201.34/201.11 [1107]~E(x11071,x11072)+E(f703(x11073,x11071),f703(x11073,x11072))
% 201.34/201.11 [1108]~E(x11081,x11082)+E(f681(x11081,x11083,x11084),f681(x11082,x11083,x11084))
% 201.34/201.11 [1109]~E(x11091,x11092)+E(f681(x11093,x11091,x11094),f681(x11093,x11092,x11094))
% 201.34/201.11 [1110]~E(x11101,x11102)+E(f681(x11103,x11104,x11101),f681(x11103,x11104,x11102))
% 201.34/201.11 [1111]~E(x11111,x11112)+E(f254(x11111,x11113),f254(x11112,x11113))
% 201.34/201.11 [1112]~E(x11121,x11122)+E(f254(x11123,x11121),f254(x11123,x11122))
% 201.34/201.11 [1113]~E(x11131,x11132)+E(f697(x11131,x11133,x11134,x11135,x11136),f697(x11132,x11133,x11134,x11135,x11136))
% 201.34/201.11 [1114]~E(x11141,x11142)+E(f697(x11143,x11141,x11144,x11145,x11146),f697(x11143,x11142,x11144,x11145,x11146))
% 201.34/201.11 [1115]~E(x11151,x11152)+E(f697(x11153,x11154,x11151,x11155,x11156),f697(x11153,x11154,x11152,x11155,x11156))
% 201.34/201.11 [1116]~E(x11161,x11162)+E(f697(x11163,x11164,x11165,x11161,x11166),f697(x11163,x11164,x11165,x11162,x11166))
% 201.34/201.11 [1117]~E(x11171,x11172)+E(f697(x11173,x11174,x11175,x11176,x11171),f697(x11173,x11174,x11175,x11176,x11172))
% 201.34/201.11 [1118]~E(x11181,x11182)+E(f379(x11181,x11183,x11184),f379(x11182,x11183,x11184))
% 201.34/201.11 [1119]~E(x11191,x11192)+E(f379(x11193,x11191,x11194),f379(x11193,x11192,x11194))
% 201.34/201.11 [1120]~E(x11201,x11202)+E(f379(x11203,x11204,x11201),f379(x11203,x11204,x11202))
% 201.34/201.11 [1121]~E(x11211,x11212)+E(f487(x11211,x11213,x11214,x11215,x11216),f487(x11212,x11213,x11214,x11215,x11216))
% 201.34/201.11 [1122]~E(x11221,x11222)+E(f487(x11223,x11221,x11224,x11225,x11226),f487(x11223,x11222,x11224,x11225,x11226))
% 201.34/201.11 [1123]~E(x11231,x11232)+E(f487(x11233,x11234,x11231,x11235,x11236),f487(x11233,x11234,x11232,x11235,x11236))
% 201.34/201.11 [1124]~E(x11241,x11242)+E(f487(x11243,x11244,x11245,x11241,x11246),f487(x11243,x11244,x11245,x11242,x11246))
% 201.34/201.11 [1125]~E(x11251,x11252)+E(f487(x11253,x11254,x11255,x11256,x11251),f487(x11253,x11254,x11255,x11256,x11252))
% 201.34/201.11 [1126]~E(x11261,x11262)+E(f585(x11261,x11263,x11264,x11265),f585(x11262,x11263,x11264,x11265))
% 201.34/201.11 [1127]~E(x11271,x11272)+E(f585(x11273,x11271,x11274,x11275),f585(x11273,x11272,x11274,x11275))
% 201.34/201.11 [1128]~E(x11281,x11282)+E(f585(x11283,x11284,x11281,x11285),f585(x11283,x11284,x11282,x11285))
% 201.34/201.11 [1129]~E(x11291,x11292)+E(f585(x11293,x11294,x11295,x11291),f585(x11293,x11294,x11295,x11292))
% 201.34/201.11 [1130]~E(x11301,x11302)+E(f117(x11301,x11303),f117(x11302,x11303))
% 201.34/201.11 [1131]~E(x11311,x11312)+E(f117(x11313,x11311),f117(x11313,x11312))
% 201.34/201.11 [1132]~E(x11321,x11322)+E(f121(x11321,x11323),f121(x11322,x11323))
% 201.34/201.11 [1133]~E(x11331,x11332)+E(f121(x11333,x11331),f121(x11333,x11332))
% 201.34/201.11 [1134]~E(x11341,x11342)+E(f439(x11341,x11343,x11344,x11345),f439(x11342,x11343,x11344,x11345))
% 201.34/201.11 [1135]~E(x11351,x11352)+E(f439(x11353,x11351,x11354,x11355),f439(x11353,x11352,x11354,x11355))
% 201.34/201.11 [1136]~E(x11361,x11362)+E(f439(x11363,x11364,x11361,x11365),f439(x11363,x11364,x11362,x11365))
% 201.34/201.11 [1137]~E(x11371,x11372)+E(f439(x11373,x11374,x11375,x11371),f439(x11373,x11374,x11375,x11372))
% 201.34/201.11 [1138]~E(x11381,x11382)+E(f525(x11381,x11383,x11384,x11385,x11386,x11387,x11388,x11389),f525(x11382,x11383,x11384,x11385,x11386,x11387,x11388,x11389))
% 201.34/201.11 [1139]~E(x11391,x11392)+E(f525(x11393,x11391,x11394,x11395,x11396,x11397,x11398,x11399),f525(x11393,x11392,x11394,x11395,x11396,x11397,x11398,x11399))
% 201.34/201.11 [1140]~E(x11401,x11402)+E(f525(x11403,x11404,x11401,x11405,x11406,x11407,x11408,x11409),f525(x11403,x11404,x11402,x11405,x11406,x11407,x11408,x11409))
% 201.34/201.11 [1141]~E(x11411,x11412)+E(f525(x11413,x11414,x11415,x11411,x11416,x11417,x11418,x11419),f525(x11413,x11414,x11415,x11412,x11416,x11417,x11418,x11419))
% 201.34/201.11 [1142]~E(x11421,x11422)+E(f525(x11423,x11424,x11425,x11426,x11421,x11427,x11428,x11429),f525(x11423,x11424,x11425,x11426,x11422,x11427,x11428,x11429))
% 201.34/201.11 [1143]~E(x11431,x11432)+E(f525(x11433,x11434,x11435,x11436,x11437,x11431,x11438,x11439),f525(x11433,x11434,x11435,x11436,x11437,x11432,x11438,x11439))
% 201.34/201.11 [1144]~E(x11441,x11442)+E(f525(x11443,x11444,x11445,x11446,x11447,x11448,x11441,x11449),f525(x11443,x11444,x11445,x11446,x11447,x11448,x11442,x11449))
% 201.34/201.11 [1145]~E(x11451,x11452)+E(f525(x11453,x11454,x11455,x11456,x11457,x11458,x11459,x11451),f525(x11453,x11454,x11455,x11456,x11457,x11458,x11459,x11452))
% 201.34/201.11 [1146]~E(x11461,x11462)+E(f247(x11461,x11463,x11464,x11465),f247(x11462,x11463,x11464,x11465))
% 201.34/201.11 [1147]~E(x11471,x11472)+E(f247(x11473,x11471,x11474,x11475),f247(x11473,x11472,x11474,x11475))
% 201.34/201.11 [1148]~E(x11481,x11482)+E(f247(x11483,x11484,x11481,x11485),f247(x11483,x11484,x11482,x11485))
% 201.34/201.11 [1149]~E(x11491,x11492)+E(f247(x11493,x11494,x11495,x11491),f247(x11493,x11494,x11495,x11492))
% 201.34/201.11 [1150]~E(x11501,x11502)+E(f643(x11501,x11503),f643(x11502,x11503))
% 201.34/201.11 [1151]~E(x11511,x11512)+E(f643(x11513,x11511),f643(x11513,x11512))
% 201.34/201.11 [1152]~E(x11521,x11522)+E(f620(x11521,x11523),f620(x11522,x11523))
% 201.34/201.11 [1153]~E(x11531,x11532)+E(f620(x11533,x11531),f620(x11533,x11532))
% 201.34/201.11 [1154]~E(x11541,x11542)+E(f46(x11541,x11543),f46(x11542,x11543))
% 201.34/201.11 [1155]~E(x11551,x11552)+E(f46(x11553,x11551),f46(x11553,x11552))
% 201.34/201.11 [1156]~E(x11561,x11562)+E(f579(x11561,x11563,x11564),f579(x11562,x11563,x11564))
% 201.34/201.11 [1157]~E(x11571,x11572)+E(f579(x11573,x11571,x11574),f579(x11573,x11572,x11574))
% 201.34/201.11 [1158]~E(x11581,x11582)+E(f579(x11583,x11584,x11581),f579(x11583,x11584,x11582))
% 201.34/201.11 [1159]~E(x11591,x11592)+E(f423(x11591,x11593,x11594),f423(x11592,x11593,x11594))
% 201.34/201.11 [1160]~E(x11601,x11602)+E(f423(x11603,x11601,x11604),f423(x11603,x11602,x11604))
% 201.34/201.11 [1161]~E(x11611,x11612)+E(f423(x11613,x11614,x11611),f423(x11613,x11614,x11612))
% 201.34/201.11 [1162]~E(x11621,x11622)+E(f344(x11621,x11623),f344(x11622,x11623))
% 201.34/201.11 [1163]~E(x11631,x11632)+E(f344(x11633,x11631),f344(x11633,x11632))
% 201.34/201.11 [1164]~E(x11641,x11642)+E(f237(x11641,x11643,x11644),f237(x11642,x11643,x11644))
% 201.34/201.11 [1165]~E(x11651,x11652)+E(f237(x11653,x11651,x11654),f237(x11653,x11652,x11654))
% 201.34/201.11 [1166]~E(x11661,x11662)+E(f237(x11663,x11664,x11661),f237(x11663,x11664,x11662))
% 201.34/201.11 [1167]~E(x11671,x11672)+E(f378(x11671,x11673,x11674),f378(x11672,x11673,x11674))
% 201.34/201.11 [1168]~E(x11681,x11682)+E(f378(x11683,x11681,x11684),f378(x11683,x11682,x11684))
% 201.34/201.11 [1169]~E(x11691,x11692)+E(f378(x11693,x11694,x11691),f378(x11693,x11694,x11692))
% 201.34/201.11 [1170]~E(x11701,x11702)+E(f124(x11701),f124(x11702))
% 201.34/201.11 [1171]~E(x11711,x11712)+E(f188(x11711,x11713),f188(x11712,x11713))
% 201.34/201.11 [1172]~E(x11721,x11722)+E(f188(x11723,x11721),f188(x11723,x11722))
% 201.34/201.11 [1173]~E(x11731,x11732)+E(f385(x11731,x11733,x11734),f385(x11732,x11733,x11734))
% 201.34/201.11 [1174]~E(x11741,x11742)+E(f385(x11743,x11741,x11744),f385(x11743,x11742,x11744))
% 201.34/201.11 [1175]~E(x11751,x11752)+E(f385(x11753,x11754,x11751),f385(x11753,x11754,x11752))
% 201.34/201.11 [1176]~E(x11761,x11762)+E(f415(x11761,x11763,x11764,x11765),f415(x11762,x11763,x11764,x11765))
% 201.34/201.11 [1177]~E(x11771,x11772)+E(f415(x11773,x11771,x11774,x11775),f415(x11773,x11772,x11774,x11775))
% 201.34/201.11 [1178]~E(x11781,x11782)+E(f415(x11783,x11784,x11781,x11785),f415(x11783,x11784,x11782,x11785))
% 201.34/201.11 [1179]~E(x11791,x11792)+E(f415(x11793,x11794,x11795,x11791),f415(x11793,x11794,x11795,x11792))
% 201.34/201.11 [1180]~E(x11801,x11802)+E(f452(x11801,x11803,x11804,x11805,x11806),f452(x11802,x11803,x11804,x11805,x11806))
% 201.34/201.11 [1181]~E(x11811,x11812)+E(f452(x11813,x11811,x11814,x11815,x11816),f452(x11813,x11812,x11814,x11815,x11816))
% 201.34/201.11 [1182]~E(x11821,x11822)+E(f452(x11823,x11824,x11821,x11825,x11826),f452(x11823,x11824,x11822,x11825,x11826))
% 201.34/201.11 [1183]~E(x11831,x11832)+E(f452(x11833,x11834,x11835,x11831,x11836),f452(x11833,x11834,x11835,x11832,x11836))
% 201.34/201.11 [1184]~E(x11841,x11842)+E(f452(x11843,x11844,x11845,x11846,x11841),f452(x11843,x11844,x11845,x11846,x11842))
% 201.34/201.11 [1185]~E(x11851,x11852)+E(f840(x11851,x11853,x11854),f840(x11852,x11853,x11854))
% 201.34/201.11 [1186]~E(x11861,x11862)+E(f840(x11863,x11861,x11864),f840(x11863,x11862,x11864))
% 201.34/201.11 [1187]~E(x11871,x11872)+E(f840(x11873,x11874,x11871),f840(x11873,x11874,x11872))
% 201.34/201.11 [1188]~E(x11881,x11882)+E(f675(x11881,x11883,x11884,x11885,x11886),f675(x11882,x11883,x11884,x11885,x11886))
% 201.34/201.11 [1189]~E(x11891,x11892)+E(f675(x11893,x11891,x11894,x11895,x11896),f675(x11893,x11892,x11894,x11895,x11896))
% 201.34/201.11 [1190]~E(x11901,x11902)+E(f675(x11903,x11904,x11901,x11905,x11906),f675(x11903,x11904,x11902,x11905,x11906))
% 201.34/201.11 [1191]~E(x11911,x11912)+E(f675(x11913,x11914,x11915,x11911,x11916),f675(x11913,x11914,x11915,x11912,x11916))
% 201.34/201.11 [1192]~E(x11921,x11922)+E(f675(x11923,x11924,x11925,x11926,x11921),f675(x11923,x11924,x11925,x11926,x11922))
% 201.34/201.11 [1193]~E(x11931,x11932)+E(f884(x11931,x11933,x11934),f884(x11932,x11933,x11934))
% 201.34/201.11 [1194]~E(x11941,x11942)+E(f884(x11943,x11941,x11944),f884(x11943,x11942,x11944))
% 201.34/201.11 [1195]~E(x11951,x11952)+E(f884(x11953,x11954,x11951),f884(x11953,x11954,x11952))
% 201.34/201.11 [1196]~E(x11961,x11962)+E(f457(x11961,x11963),f457(x11962,x11963))
% 201.34/201.11 [1197]~E(x11971,x11972)+E(f457(x11973,x11971),f457(x11973,x11972))
% 201.34/201.11 [1198]~E(x11981,x11982)+E(f640(x11981,x11983,x11984),f640(x11982,x11983,x11984))
% 201.34/201.11 [1199]~E(x11991,x11992)+E(f640(x11993,x11991,x11994),f640(x11993,x11992,x11994))
% 201.34/201.11 [1200]~E(x12001,x12002)+E(f640(x12003,x12004,x12001),f640(x12003,x12004,x12002))
% 201.34/201.11 [1201]~E(x12011,x12012)+E(f339(x12011,x12013,x12014),f339(x12012,x12013,x12014))
% 201.34/201.11 [1202]~E(x12021,x12022)+E(f339(x12023,x12021,x12024),f339(x12023,x12022,x12024))
% 201.34/201.11 [1203]~E(x12031,x12032)+E(f339(x12033,x12034,x12031),f339(x12033,x12034,x12032))
% 201.34/201.11 [1204]~E(x12041,x12042)+E(f507(x12041,x12043,x12044,x12045,x12046),f507(x12042,x12043,x12044,x12045,x12046))
% 201.34/201.11 [1205]~E(x12051,x12052)+E(f507(x12053,x12051,x12054,x12055,x12056),f507(x12053,x12052,x12054,x12055,x12056))
% 201.34/201.11 [1206]~E(x12061,x12062)+E(f507(x12063,x12064,x12061,x12065,x12066),f507(x12063,x12064,x12062,x12065,x12066))
% 201.34/201.11 [1207]~E(x12071,x12072)+E(f507(x12073,x12074,x12075,x12071,x12076),f507(x12073,x12074,x12075,x12072,x12076))
% 201.34/201.11 [1208]~E(x12081,x12082)+E(f507(x12083,x12084,x12085,x12086,x12081),f507(x12083,x12084,x12085,x12086,x12082))
% 201.34/201.11 [1209]~E(x12091,x12092)+E(f384(x12091,x12093,x12094),f384(x12092,x12093,x12094))
% 201.34/201.11 [1210]~E(x12101,x12102)+E(f384(x12103,x12101,x12104),f384(x12103,x12102,x12104))
% 201.34/201.11 [1211]~E(x12111,x12112)+E(f384(x12113,x12114,x12111),f384(x12113,x12114,x12112))
% 201.34/201.11 [1212]~E(x12121,x12122)+E(f510(x12121,x12123,x12124,x12125),f510(x12122,x12123,x12124,x12125))
% 201.34/201.11 [1213]~E(x12131,x12132)+E(f510(x12133,x12131,x12134,x12135),f510(x12133,x12132,x12134,x12135))
% 201.34/201.11 [1214]~E(x12141,x12142)+E(f510(x12143,x12144,x12141,x12145),f510(x12143,x12144,x12142,x12145))
% 201.34/201.11 [1215]~E(x12151,x12152)+E(f510(x12153,x12154,x12155,x12151),f510(x12153,x12154,x12155,x12152))
% 201.34/201.11 [1216]~E(x12161,x12162)+E(f350(x12161),f350(x12162))
% 201.34/201.11 [1217]~E(x12171,x12172)+E(f638(x12171,x12173,x12174),f638(x12172,x12173,x12174))
% 201.34/201.11 [1218]~E(x12181,x12182)+E(f638(x12183,x12181,x12184),f638(x12183,x12182,x12184))
% 201.34/201.11 [1219]~E(x12191,x12192)+E(f638(x12193,x12194,x12191),f638(x12193,x12194,x12192))
% 201.34/201.11 [1220]~E(x12201,x12202)+E(f560(x12201,x12203,x12204),f560(x12202,x12203,x12204))
% 201.34/201.11 [1221]~E(x12211,x12212)+E(f560(x12213,x12211,x12214),f560(x12213,x12212,x12214))
% 201.34/201.11 [1222]~E(x12221,x12222)+E(f560(x12223,x12224,x12221),f560(x12223,x12224,x12222))
% 201.34/201.11 [1223]~E(x12231,x12232)+E(f162(x12231,x12233,x12234),f162(x12232,x12233,x12234))
% 201.34/201.11 [1224]~E(x12241,x12242)+E(f162(x12243,x12241,x12244),f162(x12243,x12242,x12244))
% 201.34/201.11 [1225]~E(x12251,x12252)+E(f162(x12253,x12254,x12251),f162(x12253,x12254,x12252))
% 201.34/201.11 [1226]~E(x12261,x12262)+E(f761(x12261,x12263),f761(x12262,x12263))
% 201.34/201.11 [1227]~E(x12271,x12272)+E(f761(x12273,x12271),f761(x12273,x12272))
% 201.34/201.11 [1228]~E(x12281,x12282)+E(f528(x12281,x12283),f528(x12282,x12283))
% 201.34/201.11 [1229]~E(x12291,x12292)+E(f528(x12293,x12291),f528(x12293,x12292))
% 201.34/201.11 [1230]~E(x12301,x12302)+E(f434(x12301,x12303,x12304,x12305),f434(x12302,x12303,x12304,x12305))
% 201.34/201.11 [1231]~E(x12311,x12312)+E(f434(x12313,x12311,x12314,x12315),f434(x12313,x12312,x12314,x12315))
% 201.34/201.11 [1232]~E(x12321,x12322)+E(f434(x12323,x12324,x12321,x12325),f434(x12323,x12324,x12322,x12325))
% 201.34/201.11 [1233]~E(x12331,x12332)+E(f434(x12333,x12334,x12335,x12331),f434(x12333,x12334,x12335,x12332))
% 201.34/201.11 [1234]~E(x12341,x12342)+E(f841(x12341,x12343,x12344),f841(x12342,x12343,x12344))
% 201.34/201.11 [1235]~E(x12351,x12352)+E(f841(x12353,x12351,x12354),f841(x12353,x12352,x12354))
% 201.34/201.11 [1236]~E(x12361,x12362)+E(f841(x12363,x12364,x12361),f841(x12363,x12364,x12362))
% 201.34/201.11 [1237]~E(x12371,x12372)+E(f427(x12371,x12373),f427(x12372,x12373))
% 201.34/201.11 [1238]~E(x12381,x12382)+E(f427(x12383,x12381),f427(x12383,x12382))
% 201.34/201.11 [1239]~E(x12391,x12392)+E(f828(x12391,x12393,x12394,x12395,x12396,x12397,x12398,x12399),f828(x12392,x12393,x12394,x12395,x12396,x12397,x12398,x12399))
% 201.34/201.11 [1240]~E(x12401,x12402)+E(f828(x12403,x12401,x12404,x12405,x12406,x12407,x12408,x12409),f828(x12403,x12402,x12404,x12405,x12406,x12407,x12408,x12409))
% 201.34/201.11 [1241]~E(x12411,x12412)+E(f828(x12413,x12414,x12411,x12415,x12416,x12417,x12418,x12419),f828(x12413,x12414,x12412,x12415,x12416,x12417,x12418,x12419))
% 201.34/201.11 [1242]~E(x12421,x12422)+E(f828(x12423,x12424,x12425,x12421,x12426,x12427,x12428,x12429),f828(x12423,x12424,x12425,x12422,x12426,x12427,x12428,x12429))
% 201.34/201.11 [1243]~E(x12431,x12432)+E(f828(x12433,x12434,x12435,x12436,x12431,x12437,x12438,x12439),f828(x12433,x12434,x12435,x12436,x12432,x12437,x12438,x12439))
% 201.34/201.11 [1244]~E(x12441,x12442)+E(f828(x12443,x12444,x12445,x12446,x12447,x12441,x12448,x12449),f828(x12443,x12444,x12445,x12446,x12447,x12442,x12448,x12449))
% 201.34/201.11 [1245]~E(x12451,x12452)+E(f828(x12453,x12454,x12455,x12456,x12457,x12458,x12451,x12459),f828(x12453,x12454,x12455,x12456,x12457,x12458,x12452,x12459))
% 201.34/201.11 [1246]~E(x12461,x12462)+E(f828(x12463,x12464,x12465,x12466,x12467,x12468,x12469,x12461),f828(x12463,x12464,x12465,x12466,x12467,x12468,x12469,x12462))
% 201.34/201.11 [1247]~E(x12471,x12472)+E(f741(x12471,x12473,x12474),f741(x12472,x12473,x12474))
% 201.34/201.11 [1248]~E(x12481,x12482)+E(f741(x12483,x12481,x12484),f741(x12483,x12482,x12484))
% 201.34/201.11 [1249]~E(x12491,x12492)+E(f741(x12493,x12494,x12491),f741(x12493,x12494,x12492))
% 201.34/201.11 [1250]~E(x12501,x12502)+E(f418(x12501,x12503,x12504,x12505),f418(x12502,x12503,x12504,x12505))
% 201.34/201.11 [1251]~E(x12511,x12512)+E(f418(x12513,x12511,x12514,x12515),f418(x12513,x12512,x12514,x12515))
% 201.34/201.11 [1252]~E(x12521,x12522)+E(f418(x12523,x12524,x12521,x12525),f418(x12523,x12524,x12522,x12525))
% 201.34/201.11 [1253]~E(x12531,x12532)+E(f418(x12533,x12534,x12535,x12531),f418(x12533,x12534,x12535,x12532))
% 201.34/201.11 [1254]~E(x12541,x12542)+E(f377(x12541,x12543,x12544),f377(x12542,x12543,x12544))
% 201.34/201.11 [1255]~E(x12551,x12552)+E(f377(x12553,x12551,x12554),f377(x12553,x12552,x12554))
% 201.34/201.11 [1256]~E(x12561,x12562)+E(f377(x12563,x12564,x12561),f377(x12563,x12564,x12562))
% 201.34/201.11 [1257]~E(x12571,x12572)+E(f37(x12571),f37(x12572))
% 201.34/201.11 [1258]~E(x12581,x12582)+E(f81(x12581),f81(x12582))
% 201.34/201.11 [1259]~E(x12591,x12592)+E(f805(x12591,x12593,x12594,x12595,x12596),f805(x12592,x12593,x12594,x12595,x12596))
% 201.34/201.11 [1260]~E(x12601,x12602)+E(f805(x12603,x12601,x12604,x12605,x12606),f805(x12603,x12602,x12604,x12605,x12606))
% 201.34/201.11 [1261]~E(x12611,x12612)+E(f805(x12613,x12614,x12611,x12615,x12616),f805(x12613,x12614,x12612,x12615,x12616))
% 201.34/201.11 [1262]~E(x12621,x12622)+E(f805(x12623,x12624,x12625,x12621,x12626),f805(x12623,x12624,x12625,x12622,x12626))
% 201.34/201.11 [1263]~E(x12631,x12632)+E(f805(x12633,x12634,x12635,x12636,x12631),f805(x12633,x12634,x12635,x12636,x12632))
% 201.34/201.11 [1264]~E(x12641,x12642)+E(f282(x12641,x12643,x12644),f282(x12642,x12643,x12644))
% 201.34/201.11 [1265]~E(x12651,x12652)+E(f282(x12653,x12651,x12654),f282(x12653,x12652,x12654))
% 201.34/201.11 [1266]~E(x12661,x12662)+E(f282(x12663,x12664,x12661),f282(x12663,x12664,x12662))
% 201.34/201.11 [1267]~E(x12671,x12672)+E(f766(x12671,x12673,x12674,x12675),f766(x12672,x12673,x12674,x12675))
% 201.34/201.11 [1268]~E(x12681,x12682)+E(f766(x12683,x12681,x12684,x12685),f766(x12683,x12682,x12684,x12685))
% 201.34/201.11 [1269]~E(x12691,x12692)+E(f766(x12693,x12694,x12691,x12695),f766(x12693,x12694,x12692,x12695))
% 201.34/201.11 [1270]~E(x12701,x12702)+E(f766(x12703,x12704,x12705,x12701),f766(x12703,x12704,x12705,x12702))
% 201.34/201.11 [1271]~E(x12711,x12712)+E(f615(x12711,x12713,x12714,x12715,x12716),f615(x12712,x12713,x12714,x12715,x12716))
% 201.34/201.11 [1272]~E(x12721,x12722)+E(f615(x12723,x12721,x12724,x12725,x12726),f615(x12723,x12722,x12724,x12725,x12726))
% 201.34/201.11 [1273]~E(x12731,x12732)+E(f615(x12733,x12734,x12731,x12735,x12736),f615(x12733,x12734,x12732,x12735,x12736))
% 201.34/201.11 [1274]~E(x12741,x12742)+E(f615(x12743,x12744,x12745,x12741,x12746),f615(x12743,x12744,x12745,x12742,x12746))
% 201.34/201.11 [1275]~E(x12751,x12752)+E(f615(x12753,x12754,x12755,x12756,x12751),f615(x12753,x12754,x12755,x12756,x12752))
% 201.34/201.11 [1276]~E(x12761,x12762)+E(f238(x12761,x12763,x12764),f238(x12762,x12763,x12764))
% 201.34/201.11 [1277]~E(x12771,x12772)+E(f238(x12773,x12771,x12774),f238(x12773,x12772,x12774))
% 201.34/201.11 [1278]~E(x12781,x12782)+E(f238(x12783,x12784,x12781),f238(x12783,x12784,x12782))
% 201.34/201.11 [1279]~E(x12791,x12792)+E(f357(x12791),f357(x12792))
% 201.34/201.11 [1280]~E(x12801,x12802)+E(f351(x12801,x12803,x12804),f351(x12802,x12803,x12804))
% 201.34/201.11 [1281]~E(x12811,x12812)+E(f351(x12813,x12811,x12814),f351(x12813,x12812,x12814))
% 201.34/201.11 [1282]~E(x12821,x12822)+E(f351(x12823,x12824,x12821),f351(x12823,x12824,x12822))
% 201.34/201.11 [1283]~E(x12831,x12832)+E(f286(x12831,x12833,x12834),f286(x12832,x12833,x12834))
% 201.34/201.11 [1284]~E(x12841,x12842)+E(f286(x12843,x12841,x12844),f286(x12843,x12842,x12844))
% 201.34/201.11 [1285]~E(x12851,x12852)+E(f286(x12853,x12854,x12851),f286(x12853,x12854,x12852))
% 201.34/201.11 [1286]~E(x12861,x12862)+E(f243(x12861,x12863,x12864,x12865),f243(x12862,x12863,x12864,x12865))
% 201.34/201.11 [1287]~E(x12871,x12872)+E(f243(x12873,x12871,x12874,x12875),f243(x12873,x12872,x12874,x12875))
% 201.34/201.11 [1288]~E(x12881,x12882)+E(f243(x12883,x12884,x12881,x12885),f243(x12883,x12884,x12882,x12885))
% 201.34/201.11 [1289]~E(x12891,x12892)+E(f243(x12893,x12894,x12895,x12891),f243(x12893,x12894,x12895,x12892))
% 201.34/201.11 [1290]~E(x12901,x12902)+E(f407(x12901,x12903),f407(x12902,x12903))
% 201.34/201.11 [1291]~E(x12911,x12912)+E(f407(x12913,x12911),f407(x12913,x12912))
% 201.34/201.11 [1292]~E(x12921,x12922)+E(f683(x12921,x12923),f683(x12922,x12923))
% 201.34/201.11 [1293]~E(x12931,x12932)+E(f683(x12933,x12931),f683(x12933,x12932))
% 201.34/201.11 [1294]~E(x12941,x12942)+E(f563(x12941,x12943,x12944),f563(x12942,x12943,x12944))
% 201.34/201.11 [1295]~E(x12951,x12952)+E(f563(x12953,x12951,x12954),f563(x12953,x12952,x12954))
% 201.34/201.11 [1296]~E(x12961,x12962)+E(f563(x12963,x12964,x12961),f563(x12963,x12964,x12962))
% 201.34/201.11 [1297]~E(x12971,x12972)+E(f825(x12971,x12973,x12974,x12975,x12976,x12977,x12978,x12979),f825(x12972,x12973,x12974,x12975,x12976,x12977,x12978,x12979))
% 201.34/201.11 [1298]~E(x12981,x12982)+E(f825(x12983,x12981,x12984,x12985,x12986,x12987,x12988,x12989),f825(x12983,x12982,x12984,x12985,x12986,x12987,x12988,x12989))
% 201.34/201.11 [1299]~E(x12991,x12992)+E(f825(x12993,x12994,x12991,x12995,x12996,x12997,x12998,x12999),f825(x12993,x12994,x12992,x12995,x12996,x12997,x12998,x12999))
% 201.34/201.11 [1300]~E(x13001,x13002)+E(f825(x13003,x13004,x13005,x13001,x13006,x13007,x13008,x13009),f825(x13003,x13004,x13005,x13002,x13006,x13007,x13008,x13009))
% 201.34/201.11 [1301]~E(x13011,x13012)+E(f825(x13013,x13014,x13015,x13016,x13011,x13017,x13018,x13019),f825(x13013,x13014,x13015,x13016,x13012,x13017,x13018,x13019))
% 201.34/201.11 [1302]~E(x13021,x13022)+E(f825(x13023,x13024,x13025,x13026,x13027,x13021,x13028,x13029),f825(x13023,x13024,x13025,x13026,x13027,x13022,x13028,x13029))
% 201.34/201.11 [1303]~E(x13031,x13032)+E(f825(x13033,x13034,x13035,x13036,x13037,x13038,x13031,x13039),f825(x13033,x13034,x13035,x13036,x13037,x13038,x13032,x13039))
% 201.34/201.11 [1304]~E(x13041,x13042)+E(f825(x13043,x13044,x13045,x13046,x13047,x13048,x13049,x13041),f825(x13043,x13044,x13045,x13046,x13047,x13048,x13049,x13042))
% 201.34/201.11 [1305]~E(x13051,x13052)+E(f346(x13051,x13053),f346(x13052,x13053))
% 201.34/201.11 [1306]~E(x13061,x13062)+E(f346(x13063,x13061),f346(x13063,x13062))
% 201.34/201.11 [1307]~E(x13071,x13072)+E(f321(x13071),f321(x13072))
% 201.34/201.11 [1308]~E(x13081,x13082)+E(f518(x13081,x13083,x13084,x13085,x13086,x13087),f518(x13082,x13083,x13084,x13085,x13086,x13087))
% 201.34/201.11 [1309]~E(x13091,x13092)+E(f518(x13093,x13091,x13094,x13095,x13096,x13097),f518(x13093,x13092,x13094,x13095,x13096,x13097))
% 201.34/201.11 [1310]~E(x13101,x13102)+E(f518(x13103,x13104,x13101,x13105,x13106,x13107),f518(x13103,x13104,x13102,x13105,x13106,x13107))
% 201.34/201.11 [1311]~E(x13111,x13112)+E(f518(x13113,x13114,x13115,x13111,x13116,x13117),f518(x13113,x13114,x13115,x13112,x13116,x13117))
% 201.34/201.11 [1312]~E(x13121,x13122)+E(f518(x13123,x13124,x13125,x13126,x13121,x13127),f518(x13123,x13124,x13125,x13126,x13122,x13127))
% 201.34/201.11 [1313]~E(x13131,x13132)+E(f518(x13133,x13134,x13135,x13136,x13137,x13131),f518(x13133,x13134,x13135,x13136,x13137,x13132))
% 201.34/201.11 [1314]~E(x13141,x13142)+E(f694(x13141,x13143),f694(x13142,x13143))
% 201.34/201.11 [1315]~E(x13151,x13152)+E(f694(x13153,x13151),f694(x13153,x13152))
% 201.34/201.11 [1316]~E(x13161,x13162)+E(f768(x13161,x13163,x13164),f768(x13162,x13163,x13164))
% 201.34/201.11 [1317]~E(x13171,x13172)+E(f768(x13173,x13171,x13174),f768(x13173,x13172,x13174))
% 201.34/201.11 [1318]~E(x13181,x13182)+E(f768(x13183,x13184,x13181),f768(x13183,x13184,x13182))
% 201.34/201.11 [1319]~E(x13191,x13192)+E(f138(x13191,x13193,x13194,x13195,x13196),f138(x13192,x13193,x13194,x13195,x13196))
% 201.34/201.11 [1320]~E(x13201,x13202)+E(f138(x13203,x13201,x13204,x13205,x13206),f138(x13203,x13202,x13204,x13205,x13206))
% 201.34/201.11 [1321]~E(x13211,x13212)+E(f138(x13213,x13214,x13211,x13215,x13216),f138(x13213,x13214,x13212,x13215,x13216))
% 201.34/201.11 [1322]~E(x13221,x13222)+E(f138(x13223,x13224,x13225,x13221,x13226),f138(x13223,x13224,x13225,x13222,x13226))
% 201.34/201.11 [1323]~E(x13231,x13232)+E(f138(x13233,x13234,x13235,x13236,x13231),f138(x13233,x13234,x13235,x13236,x13232))
% 201.34/201.11 [1324]~E(x13241,x13242)+E(f408(x13241,x13243,x13244),f408(x13242,x13243,x13244))
% 201.34/201.11 [1325]~E(x13251,x13252)+E(f408(x13253,x13251,x13254),f408(x13253,x13252,x13254))
% 201.34/201.11 [1326]~E(x13261,x13262)+E(f408(x13263,x13264,x13261),f408(x13263,x13264,x13262))
% 201.34/201.11 [1327]~E(x13271,x13272)+E(f803(x13271,x13273,x13274,x13275),f803(x13272,x13273,x13274,x13275))
% 201.34/201.11 [1328]~E(x13281,x13282)+E(f803(x13283,x13281,x13284,x13285),f803(x13283,x13282,x13284,x13285))
% 201.34/201.11 [1329]~E(x13291,x13292)+E(f803(x13293,x13294,x13291,x13295),f803(x13293,x13294,x13292,x13295))
% 201.34/201.11 [1330]~E(x13301,x13302)+E(f803(x13303,x13304,x13305,x13301),f803(x13303,x13304,x13305,x13302))
% 201.34/201.11 [1331]~E(x13311,x13312)+E(f544(x13311,x13313),f544(x13312,x13313))
% 201.34/201.11 [1332]~E(x13321,x13322)+E(f544(x13323,x13321),f544(x13323,x13322))
% 201.34/201.11 [1333]~E(x13331,x13332)+E(f755(x13331,x13333,x13334,x13335),f755(x13332,x13333,x13334,x13335))
% 201.34/201.11 [1334]~E(x13341,x13342)+E(f755(x13343,x13341,x13344,x13345),f755(x13343,x13342,x13344,x13345))
% 201.34/201.11 [1335]~E(x13351,x13352)+E(f755(x13353,x13354,x13351,x13355),f755(x13353,x13354,x13352,x13355))
% 201.34/201.11 [1336]~E(x13361,x13362)+E(f755(x13363,x13364,x13365,x13361),f755(x13363,x13364,x13365,x13362))
% 201.34/201.11 [1337]~E(x13371,x13372)+E(f850(x13371,x13373,x13374),f850(x13372,x13373,x13374))
% 201.34/201.11 [1338]~E(x13381,x13382)+E(f850(x13383,x13381,x13384),f850(x13383,x13382,x13384))
% 201.34/201.11 [1339]~E(x13391,x13392)+E(f850(x13393,x13394,x13391),f850(x13393,x13394,x13392))
% 201.34/201.11 [1340]~E(x13401,x13402)+E(f132(x13401,x13403),f132(x13402,x13403))
% 201.34/201.11 [1341]~E(x13411,x13412)+E(f132(x13413,x13411),f132(x13413,x13412))
% 201.34/201.11 [1342]~E(x13421,x13422)+E(f691(x13421,x13423,x13424),f691(x13422,x13423,x13424))
% 201.34/201.11 [1343]~E(x13431,x13432)+E(f691(x13433,x13431,x13434),f691(x13433,x13432,x13434))
% 201.34/201.11 [1344]~E(x13441,x13442)+E(f691(x13443,x13444,x13441),f691(x13443,x13444,x13442))
% 201.34/201.11 [1345]~E(x13451,x13452)+E(f561(x13451,x13453),f561(x13452,x13453))
% 201.34/201.11 [1346]~E(x13461,x13462)+E(f561(x13463,x13461),f561(x13463,x13462))
% 201.34/201.11 [1347]~E(x13471,x13472)+E(f816(x13471,x13473,x13474,x13475,x13476,x13477,x13478,x13479),f816(x13472,x13473,x13474,x13475,x13476,x13477,x13478,x13479))
% 201.34/201.11 [1348]~E(x13481,x13482)+E(f816(x13483,x13481,x13484,x13485,x13486,x13487,x13488,x13489),f816(x13483,x13482,x13484,x13485,x13486,x13487,x13488,x13489))
% 201.34/201.11 [1349]~E(x13491,x13492)+E(f816(x13493,x13494,x13491,x13495,x13496,x13497,x13498,x13499),f816(x13493,x13494,x13492,x13495,x13496,x13497,x13498,x13499))
% 201.34/201.11 [1350]~E(x13501,x13502)+E(f816(x13503,x13504,x13505,x13501,x13506,x13507,x13508,x13509),f816(x13503,x13504,x13505,x13502,x13506,x13507,x13508,x13509))
% 201.34/201.11 [1351]~E(x13511,x13512)+E(f816(x13513,x13514,x13515,x13516,x13511,x13517,x13518,x13519),f816(x13513,x13514,x13515,x13516,x13512,x13517,x13518,x13519))
% 201.34/201.11 [1352]~E(x13521,x13522)+E(f816(x13523,x13524,x13525,x13526,x13527,x13521,x13528,x13529),f816(x13523,x13524,x13525,x13526,x13527,x13522,x13528,x13529))
% 201.34/201.11 [1353]~E(x13531,x13532)+E(f816(x13533,x13534,x13535,x13536,x13537,x13538,x13531,x13539),f816(x13533,x13534,x13535,x13536,x13537,x13538,x13532,x13539))
% 201.34/201.11 [1354]~E(x13541,x13542)+E(f816(x13543,x13544,x13545,x13546,x13547,x13548,x13549,x13541),f816(x13543,x13544,x13545,x13546,x13547,x13548,x13549,x13542))
% 201.34/201.11 [1355]~E(x13551,x13552)+E(f129(x13551,x13553,x13554),f129(x13552,x13553,x13554))
% 201.34/201.11 [1356]~E(x13561,x13562)+E(f129(x13563,x13561,x13564),f129(x13563,x13562,x13564))
% 201.34/201.11 [1357]~E(x13571,x13572)+E(f129(x13573,x13574,x13571),f129(x13573,x13574,x13572))
% 201.34/201.11 [1358]~E(x13581,x13582)+E(f594(x13581,x13583),f594(x13582,x13583))
% 201.34/201.11 [1359]~E(x13591,x13592)+E(f594(x13593,x13591),f594(x13593,x13592))
% 201.34/201.11 [1360]~E(x13601,x13602)+E(f603(x13601,x13603),f603(x13602,x13603))
% 201.34/201.11 [1361]~E(x13611,x13612)+E(f603(x13613,x13611),f603(x13613,x13612))
% 201.34/201.11 [1362]~E(x13621,x13622)+E(f55(x13621,x13623,x13624),f55(x13622,x13623,x13624))
% 201.34/201.11 [1363]~E(x13631,x13632)+E(f55(x13633,x13631,x13634),f55(x13633,x13632,x13634))
% 201.34/201.11 [1364]~E(x13641,x13642)+E(f55(x13643,x13644,x13641),f55(x13643,x13644,x13642))
% 201.34/201.11 [1365]~E(x13651,x13652)+E(f412(x13651,x13653,x13654,x13655),f412(x13652,x13653,x13654,x13655))
% 201.34/201.11 [1366]~E(x13661,x13662)+E(f412(x13663,x13661,x13664,x13665),f412(x13663,x13662,x13664,x13665))
% 201.34/201.11 [1367]~E(x13671,x13672)+E(f412(x13673,x13674,x13671,x13675),f412(x13673,x13674,x13672,x13675))
% 201.34/201.11 [1368]~E(x13681,x13682)+E(f412(x13683,x13684,x13685,x13681),f412(x13683,x13684,x13685,x13682))
% 201.34/201.11 [1369]~E(x13691,x13692)+E(f779(x13691,x13693),f779(x13692,x13693))
% 201.34/201.11 [1370]~E(x13701,x13702)+E(f779(x13703,x13701),f779(x13703,x13702))
% 201.34/201.11 [1371]~E(x13711,x13712)+E(f354(x13711,x13713,x13714),f354(x13712,x13713,x13714))
% 201.34/201.11 [1372]~E(x13721,x13722)+E(f354(x13723,x13721,x13724),f354(x13723,x13722,x13724))
% 201.34/201.11 [1373]~E(x13731,x13732)+E(f354(x13733,x13734,x13731),f354(x13733,x13734,x13732))
% 201.34/201.11 [1374]~E(x13741,x13742)+E(f820(x13741,x13743,x13744,x13745,x13746,x13747,x13748),f820(x13742,x13743,x13744,x13745,x13746,x13747,x13748))
% 201.34/201.11 [1375]~E(x13751,x13752)+E(f820(x13753,x13751,x13754,x13755,x13756,x13757,x13758),f820(x13753,x13752,x13754,x13755,x13756,x13757,x13758))
% 201.34/201.11 [1376]~E(x13761,x13762)+E(f820(x13763,x13764,x13761,x13765,x13766,x13767,x13768),f820(x13763,x13764,x13762,x13765,x13766,x13767,x13768))
% 201.34/201.11 [1377]~E(x13771,x13772)+E(f820(x13773,x13774,x13775,x13771,x13776,x13777,x13778),f820(x13773,x13774,x13775,x13772,x13776,x13777,x13778))
% 201.34/201.11 [1378]~E(x13781,x13782)+E(f820(x13783,x13784,x13785,x13786,x13781,x13787,x13788),f820(x13783,x13784,x13785,x13786,x13782,x13787,x13788))
% 201.34/201.11 [1379]~E(x13791,x13792)+E(f820(x13793,x13794,x13795,x13796,x13797,x13791,x13798),f820(x13793,x13794,x13795,x13796,x13797,x13792,x13798))
% 201.34/201.11 [1380]~E(x13801,x13802)+E(f820(x13803,x13804,x13805,x13806,x13807,x13808,x13801),f820(x13803,x13804,x13805,x13806,x13807,x13808,x13802))
% 201.34/201.11 [1381]~E(x13811,x13812)+E(f659(x13811,x13813,x13814,x13815,x13816),f659(x13812,x13813,x13814,x13815,x13816))
% 201.34/201.11 [1382]~E(x13821,x13822)+E(f659(x13823,x13821,x13824,x13825,x13826),f659(x13823,x13822,x13824,x13825,x13826))
% 201.34/201.11 [1383]~E(x13831,x13832)+E(f659(x13833,x13834,x13831,x13835,x13836),f659(x13833,x13834,x13832,x13835,x13836))
% 201.34/201.11 [1384]~E(x13841,x13842)+E(f659(x13843,x13844,x13845,x13841,x13846),f659(x13843,x13844,x13845,x13842,x13846))
% 201.34/201.11 [1385]~E(x13851,x13852)+E(f659(x13853,x13854,x13855,x13856,x13851),f659(x13853,x13854,x13855,x13856,x13852))
% 201.34/201.11 [1386]~E(x13861,x13862)+E(f564(x13861,x13863,x13864),f564(x13862,x13863,x13864))
% 201.34/201.11 [1387]~E(x13871,x13872)+E(f564(x13873,x13871,x13874),f564(x13873,x13872,x13874))
% 201.34/201.11 [1388]~E(x13881,x13882)+E(f564(x13883,x13884,x13881),f564(x13883,x13884,x13882))
% 201.34/201.11 [1389]~E(x13891,x13892)+E(f862(x13891,x13893),f862(x13892,x13893))
% 201.34/201.11 [1390]~E(x13901,x13902)+E(f862(x13903,x13901),f862(x13903,x13902))
% 201.34/201.11 [1391]~E(x13911,x13912)+E(f19(x13911,x13913,x13914,x13915),f19(x13912,x13913,x13914,x13915))
% 201.34/201.11 [1392]~E(x13921,x13922)+E(f19(x13923,x13921,x13924,x13925),f19(x13923,x13922,x13924,x13925))
% 201.34/201.11 [1393]~E(x13931,x13932)+E(f19(x13933,x13934,x13931,x13935),f19(x13933,x13934,x13932,x13935))
% 201.34/201.11 [1394]~E(x13941,x13942)+E(f19(x13943,x13944,x13945,x13941),f19(x13943,x13944,x13945,x13942))
% 201.34/201.11 [1395]~E(x13951,x13952)+E(f817(x13951,x13953,x13954,x13955,x13956,x13957,x13958,x13959),f817(x13952,x13953,x13954,x13955,x13956,x13957,x13958,x13959))
% 201.34/201.11 [1396]~E(x13961,x13962)+E(f817(x13963,x13961,x13964,x13965,x13966,x13967,x13968,x13969),f817(x13963,x13962,x13964,x13965,x13966,x13967,x13968,x13969))
% 201.34/201.11 [1397]~E(x13971,x13972)+E(f817(x13973,x13974,x13971,x13975,x13976,x13977,x13978,x13979),f817(x13973,x13974,x13972,x13975,x13976,x13977,x13978,x13979))
% 201.34/201.11 [1398]~E(x13981,x13982)+E(f817(x13983,x13984,x13985,x13981,x13986,x13987,x13988,x13989),f817(x13983,x13984,x13985,x13982,x13986,x13987,x13988,x13989))
% 201.34/201.11 [1399]~E(x13991,x13992)+E(f817(x13993,x13994,x13995,x13996,x13991,x13997,x13998,x13999),f817(x13993,x13994,x13995,x13996,x13992,x13997,x13998,x13999))
% 201.34/201.11 [1400]~E(x14001,x14002)+E(f817(x14003,x14004,x14005,x14006,x14007,x14001,x14008,x14009),f817(x14003,x14004,x14005,x14006,x14007,x14002,x14008,x14009))
% 201.34/201.11 [1401]~E(x14011,x14012)+E(f817(x14013,x14014,x14015,x14016,x14017,x14018,x14011,x14019),f817(x14013,x14014,x14015,x14016,x14017,x14018,x14012,x14019))
% 201.34/201.11 [1402]~E(x14021,x14022)+E(f817(x14023,x14024,x14025,x14026,x14027,x14028,x14029,x14021),f817(x14023,x14024,x14025,x14026,x14027,x14028,x14029,x14022))
% 201.34/201.11 [1403]~E(x14031,x14032)+E(f750(x14031,x14033,x14034),f750(x14032,x14033,x14034))
% 201.34/201.11 [1404]~E(x14041,x14042)+E(f750(x14043,x14041,x14044),f750(x14043,x14042,x14044))
% 201.34/201.11 [1405]~E(x14051,x14052)+E(f750(x14053,x14054,x14051),f750(x14053,x14054,x14052))
% 201.34/201.11 [1406]~E(x14061,x14062)+E(f587(x14061,x14063,x14064,x14065,x14066),f587(x14062,x14063,x14064,x14065,x14066))
% 201.34/201.11 [1407]~E(x14071,x14072)+E(f587(x14073,x14071,x14074,x14075,x14076),f587(x14073,x14072,x14074,x14075,x14076))
% 201.34/201.11 [1408]~E(x14081,x14082)+E(f587(x14083,x14084,x14081,x14085,x14086),f587(x14083,x14084,x14082,x14085,x14086))
% 201.34/201.11 [1409]~E(x14091,x14092)+E(f587(x14093,x14094,x14095,x14091,x14096),f587(x14093,x14094,x14095,x14092,x14096))
% 201.34/201.11 [1410]~E(x14101,x14102)+E(f587(x14103,x14104,x14105,x14106,x14101),f587(x14103,x14104,x14105,x14106,x14102))
% 201.34/201.11 [1411]~E(x14111,x14112)+E(f581(x14111,x14113,x14114),f581(x14112,x14113,x14114))
% 201.34/201.11 [1412]~E(x14121,x14122)+E(f581(x14123,x14121,x14124),f581(x14123,x14122,x14124))
% 201.34/201.11 [1413]~E(x14131,x14132)+E(f581(x14133,x14134,x14131),f581(x14133,x14134,x14132))
% 201.34/201.11 [1414]~E(x14141,x14142)+E(f523(x14141,x14143,x14144,x14145,x14146),f523(x14142,x14143,x14144,x14145,x14146))
% 201.34/201.11 [1415]~E(x14151,x14152)+E(f523(x14153,x14151,x14154,x14155,x14156),f523(x14153,x14152,x14154,x14155,x14156))
% 201.34/201.11 [1416]~E(x14161,x14162)+E(f523(x14163,x14164,x14161,x14165,x14166),f523(x14163,x14164,x14162,x14165,x14166))
% 201.34/201.11 [1417]~E(x14171,x14172)+E(f523(x14173,x14174,x14175,x14171,x14176),f523(x14173,x14174,x14175,x14172,x14176))
% 201.34/201.11 [1418]~E(x14181,x14182)+E(f523(x14183,x14184,x14185,x14186,x14181),f523(x14183,x14184,x14185,x14186,x14182))
% 201.34/201.11 [1419]~E(x14191,x14192)+E(f430(x14191,x14193,x14194,x14195),f430(x14192,x14193,x14194,x14195))
% 201.34/201.11 [1420]~E(x14201,x14202)+E(f430(x14203,x14201,x14204,x14205),f430(x14203,x14202,x14204,x14205))
% 201.34/201.11 [1421]~E(x14211,x14212)+E(f430(x14213,x14214,x14211,x14215),f430(x14213,x14214,x14212,x14215))
% 201.34/201.11 [1422]~E(x14221,x14222)+E(f430(x14223,x14224,x14225,x14221),f430(x14223,x14224,x14225,x14222))
% 201.34/201.11 [1423]~E(x14231,x14232)+E(f832(x14231,x14233,x14234,x14235,x14236,x14237),f832(x14232,x14233,x14234,x14235,x14236,x14237))
% 201.34/201.11 [1424]~E(x14241,x14242)+E(f832(x14243,x14241,x14244,x14245,x14246,x14247),f832(x14243,x14242,x14244,x14245,x14246,x14247))
% 201.34/201.11 [1425]~E(x14251,x14252)+E(f832(x14253,x14254,x14251,x14255,x14256,x14257),f832(x14253,x14254,x14252,x14255,x14256,x14257))
% 201.34/201.11 [1426]~E(x14261,x14262)+E(f832(x14263,x14264,x14265,x14261,x14266,x14267),f832(x14263,x14264,x14265,x14262,x14266,x14267))
% 201.34/201.11 [1427]~E(x14271,x14272)+E(f832(x14273,x14274,x14275,x14276,x14271,x14277),f832(x14273,x14274,x14275,x14276,x14272,x14277))
% 201.34/201.11 [1428]~E(x14281,x14282)+E(f832(x14283,x14284,x14285,x14286,x14287,x14281),f832(x14283,x14284,x14285,x14286,x14287,x14282))
% 201.34/201.11 [1429]~E(x14291,x14292)+E(f666(x14291,x14293,x14294,x14295),f666(x14292,x14293,x14294,x14295))
% 201.34/201.11 [1430]~E(x14301,x14302)+E(f666(x14303,x14301,x14304,x14305),f666(x14303,x14302,x14304,x14305))
% 201.34/201.11 [1431]~E(x14311,x14312)+E(f666(x14313,x14314,x14311,x14315),f666(x14313,x14314,x14312,x14315))
% 201.34/201.11 [1432]~E(x14321,x14322)+E(f666(x14323,x14324,x14325,x14321),f666(x14323,x14324,x14325,x14322))
% 201.34/201.11 [1433]~E(x14331,x14332)+E(f880(x14331,x14333,x14334,x14335),f880(x14332,x14333,x14334,x14335))
% 201.34/201.11 [1434]~E(x14341,x14342)+E(f880(x14343,x14341,x14344,x14345),f880(x14343,x14342,x14344,x14345))
% 201.34/201.11 [1435]~E(x14351,x14352)+E(f880(x14353,x14354,x14351,x14355),f880(x14353,x14354,x14352,x14355))
% 201.34/201.11 [1436]~E(x14361,x14362)+E(f880(x14363,x14364,x14365,x14361),f880(x14363,x14364,x14365,x14362))
% 201.34/201.11 [1437]~E(x14371,x14372)+E(f451(x14371,x14373,x14374,x14375,x14376),f451(x14372,x14373,x14374,x14375,x14376))
% 201.34/201.11 [1438]~E(x14381,x14382)+E(f451(x14383,x14381,x14384,x14385,x14386),f451(x14383,x14382,x14384,x14385,x14386))
% 201.34/201.11 [1439]~E(x14391,x14392)+E(f451(x14393,x14394,x14391,x14395,x14396),f451(x14393,x14394,x14392,x14395,x14396))
% 201.34/201.11 [1440]~E(x14401,x14402)+E(f451(x14403,x14404,x14405,x14401,x14406),f451(x14403,x14404,x14405,x14402,x14406))
% 201.34/201.11 [1441]~E(x14411,x14412)+E(f451(x14413,x14414,x14415,x14416,x14411),f451(x14413,x14414,x14415,x14416,x14412))
% 201.34/201.11 [1442]~E(x14421,x14422)+E(f783(x14421),f783(x14422))
% 201.34/201.11 [1443]~E(x14431,x14432)+E(f502(x14431),f502(x14432))
% 201.34/201.11 [1444]~E(x14441,x14442)+E(f491(x14441,x14443,x14444,x14445),f491(x14442,x14443,x14444,x14445))
% 201.34/201.11 [1445]~E(x14451,x14452)+E(f491(x14453,x14451,x14454,x14455),f491(x14453,x14452,x14454,x14455))
% 201.34/201.11 [1446]~E(x14461,x14462)+E(f491(x14463,x14464,x14461,x14465),f491(x14463,x14464,x14462,x14465))
% 201.34/201.11 [1447]~E(x14471,x14472)+E(f491(x14473,x14474,x14475,x14471),f491(x14473,x14474,x14475,x14472))
% 201.34/201.11 [1448]~E(x14481,x14482)+E(f386(x14481,x14483),f386(x14482,x14483))
% 201.34/201.11 [1449]~E(x14491,x14492)+E(f386(x14493,x14491),f386(x14493,x14492))
% 201.34/201.11 [1450]~E(x14501,x14502)+E(f450(x14501,x14503,x14504,x14505,x14506),f450(x14502,x14503,x14504,x14505,x14506))
% 201.34/201.11 [1451]~E(x14511,x14512)+E(f450(x14513,x14511,x14514,x14515,x14516),f450(x14513,x14512,x14514,x14515,x14516))
% 201.34/201.11 [1452]~E(x14521,x14522)+E(f450(x14523,x14524,x14521,x14525,x14526),f450(x14523,x14524,x14522,x14525,x14526))
% 201.34/201.11 [1453]~E(x14531,x14532)+E(f450(x14533,x14534,x14535,x14531,x14536),f450(x14533,x14534,x14535,x14532,x14536))
% 201.34/201.11 [1454]~E(x14541,x14542)+E(f450(x14543,x14544,x14545,x14546,x14541),f450(x14543,x14544,x14545,x14546,x14542))
% 201.34/201.11 [1455]~E(x14551,x14552)+E(f266(x14551),f266(x14552))
% 201.34/201.11 [1456]~E(x14561,x14562)+E(f801(x14561,x14563),f801(x14562,x14563))
% 201.34/201.11 [1457]~E(x14571,x14572)+E(f801(x14573,x14571),f801(x14573,x14572))
% 201.34/201.11 [1458]~E(x14581,x14582)+E(f644(x14581,x14583),f644(x14582,x14583))
% 201.34/201.11 [1459]~E(x14591,x14592)+E(f644(x14593,x14591),f644(x14593,x14592))
% 201.34/201.11 [1460]~E(x14601,x14602)+E(f792(x14601,x14603,x14604,x14605,x14606,x14607),f792(x14602,x14603,x14604,x14605,x14606,x14607))
% 201.34/201.11 [1461]~E(x14611,x14612)+E(f792(x14613,x14611,x14614,x14615,x14616,x14617),f792(x14613,x14612,x14614,x14615,x14616,x14617))
% 201.34/201.11 [1462]~E(x14621,x14622)+E(f792(x14623,x14624,x14621,x14625,x14626,x14627),f792(x14623,x14624,x14622,x14625,x14626,x14627))
% 201.34/201.11 [1463]~E(x14631,x14632)+E(f792(x14633,x14634,x14635,x14631,x14636,x14637),f792(x14633,x14634,x14635,x14632,x14636,x14637))
% 201.34/201.11 [1464]~E(x14641,x14642)+E(f792(x14643,x14644,x14645,x14646,x14641,x14647),f792(x14643,x14644,x14645,x14646,x14642,x14647))
% 201.34/201.11 [1465]~E(x14651,x14652)+E(f792(x14653,x14654,x14655,x14656,x14657,x14651),f792(x14653,x14654,x14655,x14656,x14657,x14652))
% 201.34/201.11 [1466]~E(x14661,x14662)+E(f476(x14661,x14663,x14664),f476(x14662,x14663,x14664))
% 201.34/201.11 [1467]~E(x14671,x14672)+E(f476(x14673,x14671,x14674),f476(x14673,x14672,x14674))
% 201.34/201.11 [1468]~E(x14681,x14682)+E(f476(x14683,x14684,x14681),f476(x14683,x14684,x14682))
% 201.34/201.11 [1469]~E(x14691,x14692)+E(f711(x14691,x14693,x14694,x14695,x14696,x14697,x14698,x14699),f711(x14692,x14693,x14694,x14695,x14696,x14697,x14698,x14699))
% 201.34/201.11 [1470]~E(x14701,x14702)+E(f711(x14703,x14701,x14704,x14705,x14706,x14707,x14708,x14709),f711(x14703,x14702,x14704,x14705,x14706,x14707,x14708,x14709))
% 201.34/201.11 [1471]~E(x14711,x14712)+E(f711(x14713,x14714,x14711,x14715,x14716,x14717,x14718,x14719),f711(x14713,x14714,x14712,x14715,x14716,x14717,x14718,x14719))
% 201.34/201.11 [1472]~E(x14721,x14722)+E(f711(x14723,x14724,x14725,x14721,x14726,x14727,x14728,x14729),f711(x14723,x14724,x14725,x14722,x14726,x14727,x14728,x14729))
% 201.34/201.11 [1473]~E(x14731,x14732)+E(f711(x14733,x14734,x14735,x14736,x14731,x14737,x14738,x14739),f711(x14733,x14734,x14735,x14736,x14732,x14737,x14738,x14739))
% 201.34/201.11 [1474]~E(x14741,x14742)+E(f711(x14743,x14744,x14745,x14746,x14747,x14741,x14748,x14749),f711(x14743,x14744,x14745,x14746,x14747,x14742,x14748,x14749))
% 201.34/201.11 [1475]~E(x14751,x14752)+E(f711(x14753,x14754,x14755,x14756,x14757,x14758,x14751,x14759),f711(x14753,x14754,x14755,x14756,x14757,x14758,x14752,x14759))
% 201.34/201.11 [1476]~E(x14761,x14762)+E(f711(x14763,x14764,x14765,x14766,x14767,x14768,x14769,x14761),f711(x14763,x14764,x14765,x14766,x14767,x14768,x14769,x14762))
% 201.34/201.11 [1477]~E(x14771,x14772)+E(f489(x14771),f489(x14772))
% 201.34/201.11 [1478]~E(x14781,x14782)+E(f477(x14781,x14783,x14784,x14785,x14786),f477(x14782,x14783,x14784,x14785,x14786))
% 201.34/201.11 [1479]~E(x14791,x14792)+E(f477(x14793,x14791,x14794,x14795,x14796),f477(x14793,x14792,x14794,x14795,x14796))
% 201.34/201.11 [1480]~E(x14801,x14802)+E(f477(x14803,x14804,x14801,x14805,x14806),f477(x14803,x14804,x14802,x14805,x14806))
% 201.34/201.11 [1481]~E(x14811,x14812)+E(f477(x14813,x14814,x14815,x14811,x14816),f477(x14813,x14814,x14815,x14812,x14816))
% 201.34/201.11 [1482]~E(x14821,x14822)+E(f477(x14823,x14824,x14825,x14826,x14821),f477(x14823,x14824,x14825,x14826,x14822))
% 201.34/201.11 [1483]~E(x14831,x14832)+E(f112(x14831),f112(x14832))
% 201.34/201.11 [1484]~E(x14841,x14842)+E(f623(x14841,x14843,x14844,x14845,x14846,x14847),f623(x14842,x14843,x14844,x14845,x14846,x14847))
% 201.34/201.11 [1485]~E(x14851,x14852)+E(f623(x14853,x14851,x14854,x14855,x14856,x14857),f623(x14853,x14852,x14854,x14855,x14856,x14857))
% 201.34/201.11 [1486]~E(x14861,x14862)+E(f623(x14863,x14864,x14861,x14865,x14866,x14867),f623(x14863,x14864,x14862,x14865,x14866,x14867))
% 201.34/201.11 [1487]~E(x14871,x14872)+E(f623(x14873,x14874,x14875,x14871,x14876,x14877),f623(x14873,x14874,x14875,x14872,x14876,x14877))
% 201.34/201.11 [1488]~E(x14881,x14882)+E(f623(x14883,x14884,x14885,x14886,x14881,x14887),f623(x14883,x14884,x14885,x14886,x14882,x14887))
% 201.34/201.11 [1489]~E(x14891,x14892)+E(f623(x14893,x14894,x14895,x14896,x14897,x14891),f623(x14893,x14894,x14895,x14896,x14897,x14892))
% 201.34/201.11 [1490]~E(x14901,x14902)+E(f215(x14901,x14903,x14904,x14905,x14906),f215(x14902,x14903,x14904,x14905,x14906))
% 201.34/201.11 [1491]~E(x14911,x14912)+E(f215(x14913,x14911,x14914,x14915,x14916),f215(x14913,x14912,x14914,x14915,x14916))
% 201.34/201.11 [1492]~E(x14921,x14922)+E(f215(x14923,x14924,x14921,x14925,x14926),f215(x14923,x14924,x14922,x14925,x14926))
% 201.34/201.11 [1493]~E(x14931,x14932)+E(f215(x14933,x14934,x14935,x14931,x14936),f215(x14933,x14934,x14935,x14932,x14936))
% 201.34/201.11 [1494]~E(x14941,x14942)+E(f215(x14943,x14944,x14945,x14946,x14941),f215(x14943,x14944,x14945,x14946,x14942))
% 201.34/201.11 [1495]~E(x14951,x14952)+E(f543(x14951,x14953),f543(x14952,x14953))
% 201.34/201.11 [1496]~E(x14961,x14962)+E(f543(x14963,x14961),f543(x14963,x14962))
% 201.34/201.11 [1497]~E(x14971,x14972)+E(f804(x14971,x14973,x14974,x14975,x14976,x14977),f804(x14972,x14973,x14974,x14975,x14976,x14977))
% 201.34/201.11 [1498]~E(x14981,x14982)+E(f804(x14983,x14981,x14984,x14985,x14986,x14987),f804(x14983,x14982,x14984,x14985,x14986,x14987))
% 201.34/201.11 [1499]~E(x14991,x14992)+E(f804(x14993,x14994,x14991,x14995,x14996,x14997),f804(x14993,x14994,x14992,x14995,x14996,x14997))
% 201.34/201.11 [1500]~E(x15001,x15002)+E(f804(x15003,x15004,x15005,x15001,x15006,x15007),f804(x15003,x15004,x15005,x15002,x15006,x15007))
% 201.34/201.11 [1501]~E(x15011,x15012)+E(f804(x15013,x15014,x15015,x15016,x15011,x15017),f804(x15013,x15014,x15015,x15016,x15012,x15017))
% 201.34/201.11 [1502]~E(x15021,x15022)+E(f804(x15023,x15024,x15025,x15026,x15027,x15021),f804(x15023,x15024,x15025,x15026,x15027,x15022))
% 201.34/201.11 [1503]~E(x15031,x15032)+E(f660(x15031,x15033,x15034,x15035,x15036),f660(x15032,x15033,x15034,x15035,x15036))
% 201.34/201.11 [1504]~E(x15041,x15042)+E(f660(x15043,x15041,x15044,x15045,x15046),f660(x15043,x15042,x15044,x15045,x15046))
% 201.34/201.11 [1505]~E(x15051,x15052)+E(f660(x15053,x15054,x15051,x15055,x15056),f660(x15053,x15054,x15052,x15055,x15056))
% 201.34/201.11 [1506]~E(x15061,x15062)+E(f660(x15063,x15064,x15065,x15061,x15066),f660(x15063,x15064,x15065,x15062,x15066))
% 201.34/201.11 [1507]~E(x15071,x15072)+E(f660(x15073,x15074,x15075,x15076,x15071),f660(x15073,x15074,x15075,x15076,x15072))
% 201.34/201.11 [1508]~E(x15081,x15082)+E(f661(x15081,x15083,x15084,x15085,x15086),f661(x15082,x15083,x15084,x15085,x15086))
% 201.34/201.11 [1509]~E(x15091,x15092)+E(f661(x15093,x15091,x15094,x15095,x15096),f661(x15093,x15092,x15094,x15095,x15096))
% 201.34/201.11 [1510]~E(x15101,x15102)+E(f661(x15103,x15104,x15101,x15105,x15106),f661(x15103,x15104,x15102,x15105,x15106))
% 201.34/201.11 [1511]~E(x15111,x15112)+E(f661(x15113,x15114,x15115,x15111,x15116),f661(x15113,x15114,x15115,x15112,x15116))
% 201.34/201.11 [1512]~E(x15121,x15122)+E(f661(x15123,x15124,x15125,x15126,x15121),f661(x15123,x15124,x15125,x15126,x15122))
% 201.34/201.11 [1513]~E(x15131,x15132)+E(f135(x15131,x15133),f135(x15132,x15133))
% 201.34/201.11 [1514]~E(x15141,x15142)+E(f135(x15143,x15141),f135(x15143,x15142))
% 201.34/201.11 [1515]~E(x15151,x15152)+E(f851(x15151,x15153,x15154,x15155),f851(x15152,x15153,x15154,x15155))
% 201.34/201.11 [1516]~E(x15161,x15162)+E(f851(x15163,x15161,x15164,x15165),f851(x15163,x15162,x15164,x15165))
% 201.34/201.11 [1517]~E(x15171,x15172)+E(f851(x15173,x15174,x15171,x15175),f851(x15173,x15174,x15172,x15175))
% 201.34/201.11 [1518]~E(x15181,x15182)+E(f851(x15183,x15184,x15185,x15181),f851(x15183,x15184,x15185,x15182))
% 201.34/201.11 [1519]~E(x15191,x15192)+E(f281(x15191,x15193),f281(x15192,x15193))
% 201.34/201.11 [1520]~E(x15201,x15202)+E(f281(x15203,x15201),f281(x15203,x15202))
% 201.34/201.11 [1521]~E(x15211,x15212)+E(f526(x15211,x15213,x15214,x15215,x15216,x15217,x15218,x15219),f526(x15212,x15213,x15214,x15215,x15216,x15217,x15218,x15219))
% 201.34/201.11 [1522]~E(x15221,x15222)+E(f526(x15223,x15221,x15224,x15225,x15226,x15227,x15228,x15229),f526(x15223,x15222,x15224,x15225,x15226,x15227,x15228,x15229))
% 201.34/201.11 [1523]~E(x15231,x15232)+E(f526(x15233,x15234,x15231,x15235,x15236,x15237,x15238,x15239),f526(x15233,x15234,x15232,x15235,x15236,x15237,x15238,x15239))
% 201.34/201.11 [1524]~E(x15241,x15242)+E(f526(x15243,x15244,x15245,x15241,x15246,x15247,x15248,x15249),f526(x15243,x15244,x15245,x15242,x15246,x15247,x15248,x15249))
% 201.34/201.11 [1525]~E(x15251,x15252)+E(f526(x15253,x15254,x15255,x15256,x15251,x15257,x15258,x15259),f526(x15253,x15254,x15255,x15256,x15252,x15257,x15258,x15259))
% 201.34/201.11 [1526]~E(x15261,x15262)+E(f526(x15263,x15264,x15265,x15266,x15267,x15261,x15268,x15269),f526(x15263,x15264,x15265,x15266,x15267,x15262,x15268,x15269))
% 201.34/201.11 [1527]~E(x15271,x15272)+E(f526(x15273,x15274,x15275,x15276,x15277,x15278,x15271,x15279),f526(x15273,x15274,x15275,x15276,x15277,x15278,x15272,x15279))
% 201.34/201.11 [1528]~E(x15281,x15282)+E(f526(x15283,x15284,x15285,x15286,x15287,x15288,x15289,x15281),f526(x15283,x15284,x15285,x15286,x15287,x15288,x15289,x15282))
% 201.34/201.11 [1529]~E(x15291,x15292)+E(f604(x15291,x15293,x15294,x15295,x15296),f604(x15292,x15293,x15294,x15295,x15296))
% 201.34/201.11 [1530]~E(x15301,x15302)+E(f604(x15303,x15301,x15304,x15305,x15306),f604(x15303,x15302,x15304,x15305,x15306))
% 201.34/201.11 [1531]~E(x15311,x15312)+E(f604(x15313,x15314,x15311,x15315,x15316),f604(x15313,x15314,x15312,x15315,x15316))
% 201.34/201.11 [1532]~E(x15321,x15322)+E(f604(x15323,x15324,x15325,x15321,x15326),f604(x15323,x15324,x15325,x15322,x15326))
% 201.34/201.11 [1533]~E(x15331,x15332)+E(f604(x15333,x15334,x15335,x15336,x15331),f604(x15333,x15334,x15335,x15336,x15332))
% 201.34/201.11 [1534]~E(x15341,x15342)+E(f442(x15341,x15343,x15344,x15345),f442(x15342,x15343,x15344,x15345))
% 201.34/201.11 [1535]~E(x15351,x15352)+E(f442(x15353,x15351,x15354,x15355),f442(x15353,x15352,x15354,x15355))
% 201.34/201.11 [1536]~E(x15361,x15362)+E(f442(x15363,x15364,x15361,x15365),f442(x15363,x15364,x15362,x15365))
% 201.34/201.11 [1537]~E(x15371,x15372)+E(f442(x15373,x15374,x15375,x15371),f442(x15373,x15374,x15375,x15372))
% 201.34/201.11 [1538]~E(x15381,x15382)+E(f815(x15381,x15383,x15384,x15385,x15386,x15387),f815(x15382,x15383,x15384,x15385,x15386,x15387))
% 201.34/201.11 [1539]~E(x15391,x15392)+E(f815(x15393,x15391,x15394,x15395,x15396,x15397),f815(x15393,x15392,x15394,x15395,x15396,x15397))
% 201.34/201.11 [1540]~E(x15401,x15402)+E(f815(x15403,x15404,x15401,x15405,x15406,x15407),f815(x15403,x15404,x15402,x15405,x15406,x15407))
% 201.34/201.11 [1541]~E(x15411,x15412)+E(f815(x15413,x15414,x15415,x15411,x15416,x15417),f815(x15413,x15414,x15415,x15412,x15416,x15417))
% 201.34/201.11 [1542]~E(x15421,x15422)+E(f815(x15423,x15424,x15425,x15426,x15421,x15427),f815(x15423,x15424,x15425,x15426,x15422,x15427))
% 201.34/201.11 [1543]~E(x15431,x15432)+E(f815(x15433,x15434,x15435,x15436,x15437,x15431),f815(x15433,x15434,x15435,x15436,x15437,x15432))
% 201.34/201.11 [1544]~E(x15441,x15442)+E(f473(x15441,x15443,x15444),f473(x15442,x15443,x15444))
% 201.34/201.11 [1545]~E(x15451,x15452)+E(f473(x15453,x15451,x15454),f473(x15453,x15452,x15454))
% 201.34/201.11 [1546]~E(x15461,x15462)+E(f473(x15463,x15464,x15461),f473(x15463,x15464,x15462))
% 201.34/201.11 [1547]~E(x15471,x15472)+E(f745(x15471,x15473,x15474),f745(x15472,x15473,x15474))
% 201.34/201.11 [1548]~E(x15481,x15482)+E(f745(x15483,x15481,x15484),f745(x15483,x15482,x15484))
% 201.34/201.11 [1549]~E(x15491,x15492)+E(f745(x15493,x15494,x15491),f745(x15493,x15494,x15492))
% 201.34/201.11 [1550]~E(x15501,x15502)+E(f787(x15501,x15503,x15504),f787(x15502,x15503,x15504))
% 201.34/201.11 [1551]~E(x15511,x15512)+E(f787(x15513,x15511,x15514),f787(x15513,x15512,x15514))
% 201.34/201.11 [1552]~E(x15521,x15522)+E(f787(x15523,x15524,x15521),f787(x15523,x15524,x15522))
% 201.34/201.11 [1553]~E(x15531,x15532)+E(f866(x15531,x15533,x15534,x15535),f866(x15532,x15533,x15534,x15535))
% 201.34/201.11 [1554]~E(x15541,x15542)+E(f866(x15543,x15541,x15544,x15545),f866(x15543,x15542,x15544,x15545))
% 201.34/201.11 [1555]~E(x15551,x15552)+E(f866(x15553,x15554,x15551,x15555),f866(x15553,x15554,x15552,x15555))
% 201.34/201.11 [1556]~E(x15561,x15562)+E(f866(x15563,x15564,x15565,x15561),f866(x15563,x15564,x15565,x15562))
% 201.34/201.11 [1557]~E(x15571,x15572)+E(f198(x15571,x15573,x15574,x15575),f198(x15572,x15573,x15574,x15575))
% 201.34/201.11 [1558]~E(x15581,x15582)+E(f198(x15583,x15581,x15584,x15585),f198(x15583,x15582,x15584,x15585))
% 201.34/201.11 [1559]~E(x15591,x15592)+E(f198(x15593,x15594,x15591,x15595),f198(x15593,x15594,x15592,x15595))
% 201.34/201.11 [1560]~E(x15601,x15602)+E(f198(x15603,x15604,x15605,x15601),f198(x15603,x15604,x15605,x15602))
% 201.34/201.11 [1561]~E(x15611,x15612)+E(f498(x15611,x15613),f498(x15612,x15613))
% 201.34/201.11 [1562]~E(x15621,x15622)+E(f498(x15623,x15621),f498(x15623,x15622))
% 201.34/201.11 [1563]~E(x15631,x15632)+E(f591(x15631,x15633,x15634,x15635,x15636,x15637,x15638,x15639),f591(x15632,x15633,x15634,x15635,x15636,x15637,x15638,x15639))
% 201.34/201.11 [1564]~E(x15641,x15642)+E(f591(x15643,x15641,x15644,x15645,x15646,x15647,x15648,x15649),f591(x15643,x15642,x15644,x15645,x15646,x15647,x15648,x15649))
% 201.34/201.11 [1565]~E(x15651,x15652)+E(f591(x15653,x15654,x15651,x15655,x15656,x15657,x15658,x15659),f591(x15653,x15654,x15652,x15655,x15656,x15657,x15658,x15659))
% 201.34/201.11 [1566]~E(x15661,x15662)+E(f591(x15663,x15664,x15665,x15661,x15666,x15667,x15668,x15669),f591(x15663,x15664,x15665,x15662,x15666,x15667,x15668,x15669))
% 201.34/201.11 [1567]~E(x15671,x15672)+E(f591(x15673,x15674,x15675,x15676,x15671,x15677,x15678,x15679),f591(x15673,x15674,x15675,x15676,x15672,x15677,x15678,x15679))
% 201.34/201.11 [1568]~E(x15681,x15682)+E(f591(x15683,x15684,x15685,x15686,x15687,x15681,x15688,x15689),f591(x15683,x15684,x15685,x15686,x15687,x15682,x15688,x15689))
% 201.34/201.11 [1569]~E(x15691,x15692)+E(f591(x15693,x15694,x15695,x15696,x15697,x15698,x15691,x15699),f591(x15693,x15694,x15695,x15696,x15697,x15698,x15692,x15699))
% 201.34/201.11 [1570]~E(x15701,x15702)+E(f591(x15703,x15704,x15705,x15706,x15707,x15708,x15709,x15701),f591(x15703,x15704,x15705,x15706,x15707,x15708,x15709,x15702))
% 201.34/201.11 [1571]~E(x15711,x15712)+E(f374(x15711,x15713,x15714),f374(x15712,x15713,x15714))
% 201.34/201.11 [1572]~E(x15721,x15722)+E(f374(x15723,x15721,x15724),f374(x15723,x15722,x15724))
% 201.34/201.11 [1573]~E(x15731,x15732)+E(f374(x15733,x15734,x15731),f374(x15733,x15734,x15732))
% 201.34/201.11 [1574]~E(x15741,x15742)+E(f465(x15741,x15743,x15744),f465(x15742,x15743,x15744))
% 201.34/201.11 [1575]~E(x15751,x15752)+E(f465(x15753,x15751,x15754),f465(x15753,x15752,x15754))
% 201.34/201.11 [1576]~E(x15761,x15762)+E(f465(x15763,x15764,x15761),f465(x15763,x15764,x15762))
% 201.34/201.11 [1577]~E(x15771,x15772)+E(f632(x15771,x15773,x15774),f632(x15772,x15773,x15774))
% 201.34/201.11 [1578]~E(x15781,x15782)+E(f632(x15783,x15781,x15784),f632(x15783,x15782,x15784))
% 201.34/201.11 [1579]~E(x15791,x15792)+E(f632(x15793,x15794,x15791),f632(x15793,x15794,x15792))
% 201.34/201.11 [1580]~E(x15801,x15802)+E(f641(x15801,x15803,x15804),f641(x15802,x15803,x15804))
% 201.34/201.11 [1581]~E(x15811,x15812)+E(f641(x15813,x15811,x15814),f641(x15813,x15812,x15814))
% 201.34/201.11 [1582]~E(x15821,x15822)+E(f641(x15823,x15824,x15821),f641(x15823,x15824,x15822))
% 201.34/201.11 [1583]~E(x15831,x15832)+E(f673(x15831,x15833,x15834,x15835,x15836),f673(x15832,x15833,x15834,x15835,x15836))
% 201.34/201.11 [1584]~E(x15841,x15842)+E(f673(x15843,x15841,x15844,x15845,x15846),f673(x15843,x15842,x15844,x15845,x15846))
% 201.34/201.11 [1585]~E(x15851,x15852)+E(f673(x15853,x15854,x15851,x15855,x15856),f673(x15853,x15854,x15852,x15855,x15856))
% 201.34/201.11 [1586]~E(x15861,x15862)+E(f673(x15863,x15864,x15865,x15861,x15866),f673(x15863,x15864,x15865,x15862,x15866))
% 201.34/201.11 [1587]~E(x15871,x15872)+E(f673(x15873,x15874,x15875,x15876,x15871),f673(x15873,x15874,x15875,x15876,x15872))
% 201.34/201.11 [1588]~E(x15881,x15882)+E(f419(x15881,x15883,x15884,x15885),f419(x15882,x15883,x15884,x15885))
% 201.34/201.11 [1589]~E(x15891,x15892)+E(f419(x15893,x15891,x15894,x15895),f419(x15893,x15892,x15894,x15895))
% 201.34/201.11 [1590]~E(x15901,x15902)+E(f419(x15903,x15904,x15901,x15905),f419(x15903,x15904,x15902,x15905))
% 201.34/201.11 [1591]~E(x15911,x15912)+E(f419(x15913,x15914,x15915,x15911),f419(x15913,x15914,x15915,x15912))
% 201.34/201.11 [1592]~E(x15921,x15922)+E(f860(x15921,x15923,x15924,x15925,x15926),f860(x15922,x15923,x15924,x15925,x15926))
% 201.34/201.11 [1593]~E(x15931,x15932)+E(f860(x15933,x15931,x15934,x15935,x15936),f860(x15933,x15932,x15934,x15935,x15936))
% 201.34/201.11 [1594]~E(x15941,x15942)+E(f860(x15943,x15944,x15941,x15945,x15946),f860(x15943,x15944,x15942,x15945,x15946))
% 201.34/201.11 [1595]~E(x15951,x15952)+E(f860(x15953,x15954,x15955,x15951,x15956),f860(x15953,x15954,x15955,x15952,x15956))
% 201.34/201.11 [1596]~E(x15961,x15962)+E(f860(x15963,x15964,x15965,x15966,x15961),f860(x15963,x15964,x15965,x15966,x15962))
% 201.34/201.11 [1597]~E(x15971,x15972)+E(f728(x15971,x15973,x15974),f728(x15972,x15973,x15974))
% 201.34/201.11 [1598]~E(x15981,x15982)+E(f728(x15983,x15981,x15984),f728(x15983,x15982,x15984))
% 201.34/201.11 [1599]~E(x15991,x15992)+E(f728(x15993,x15994,x15991),f728(x15993,x15994,x15992))
% 201.34/201.11 [1600]~E(x16001,x16002)+E(f614(x16001,x16003,x16004,x16005,x16006),f614(x16002,x16003,x16004,x16005,x16006))
% 201.34/201.11 [1601]~E(x16011,x16012)+E(f614(x16013,x16011,x16014,x16015,x16016),f614(x16013,x16012,x16014,x16015,x16016))
% 201.34/201.11 [1602]~E(x16021,x16022)+E(f614(x16023,x16024,x16021,x16025,x16026),f614(x16023,x16024,x16022,x16025,x16026))
% 201.34/201.11 [1603]~E(x16031,x16032)+E(f614(x16033,x16034,x16035,x16031,x16036),f614(x16033,x16034,x16035,x16032,x16036))
% 201.34/201.11 [1604]~E(x16041,x16042)+E(f614(x16043,x16044,x16045,x16046,x16041),f614(x16043,x16044,x16045,x16046,x16042))
% 201.34/201.11 [1605]~E(x16051,x16052)+E(f731(x16051,x16053,x16054),f731(x16052,x16053,x16054))
% 201.34/201.11 [1606]~E(x16061,x16062)+E(f731(x16063,x16061,x16064),f731(x16063,x16062,x16064))
% 201.34/201.11 [1607]~E(x16071,x16072)+E(f731(x16073,x16074,x16071),f731(x16073,x16074,x16072))
% 201.34/201.11 [1608]~E(x16081,x16082)+E(f524(x16081,x16083,x16084,x16085,x16086),f524(x16082,x16083,x16084,x16085,x16086))
% 201.34/201.11 [1609]~E(x16091,x16092)+E(f524(x16093,x16091,x16094,x16095,x16096),f524(x16093,x16092,x16094,x16095,x16096))
% 201.34/201.11 [1610]~E(x16101,x16102)+E(f524(x16103,x16104,x16101,x16105,x16106),f524(x16103,x16104,x16102,x16105,x16106))
% 201.34/201.11 [1611]~E(x16111,x16112)+E(f524(x16113,x16114,x16115,x16111,x16116),f524(x16113,x16114,x16115,x16112,x16116))
% 201.34/201.11 [1612]~E(x16121,x16122)+E(f524(x16123,x16124,x16125,x16126,x16121),f524(x16123,x16124,x16125,x16126,x16122))
% 201.34/201.11 [1613]~E(x16131,x16132)+E(f627(x16131,x16133,x16134,x16135,x16136),f627(x16132,x16133,x16134,x16135,x16136))
% 201.34/201.11 [1614]~E(x16141,x16142)+E(f627(x16143,x16141,x16144,x16145,x16146),f627(x16143,x16142,x16144,x16145,x16146))
% 201.34/201.11 [1615]~E(x16151,x16152)+E(f627(x16153,x16154,x16151,x16155,x16156),f627(x16153,x16154,x16152,x16155,x16156))
% 201.34/201.11 [1616]~E(x16161,x16162)+E(f627(x16163,x16164,x16165,x16161,x16166),f627(x16163,x16164,x16165,x16162,x16166))
% 201.34/201.11 [1617]~E(x16171,x16172)+E(f627(x16173,x16174,x16175,x16176,x16171),f627(x16173,x16174,x16175,x16176,x16172))
% 201.34/201.11 [1618]~E(x16181,x16182)+E(f429(x16181,x16183,x16184,x16185),f429(x16182,x16183,x16184,x16185))
% 201.34/201.11 [1619]~E(x16191,x16192)+E(f429(x16193,x16191,x16194,x16195),f429(x16193,x16192,x16194,x16195))
% 201.34/201.11 [1620]~E(x16201,x16202)+E(f429(x16203,x16204,x16201,x16205),f429(x16203,x16204,x16202,x16205))
% 201.34/201.11 [1621]~E(x16211,x16212)+E(f429(x16213,x16214,x16215,x16211),f429(x16213,x16214,x16215,x16212))
% 201.34/201.11 [1622]~E(x16221,x16222)+E(f534(x16221,x16223,x16224),f534(x16222,x16223,x16224))
% 201.34/201.11 [1623]~E(x16231,x16232)+E(f534(x16233,x16231,x16234),f534(x16233,x16232,x16234))
% 201.34/201.11 [1624]~E(x16241,x16242)+E(f534(x16243,x16244,x16241),f534(x16243,x16244,x16242))
% 201.34/201.11 [1625]~E(x16251,x16252)+E(f785(x16251,x16253,x16254),f785(x16252,x16253,x16254))
% 201.34/201.11 [1626]~E(x16261,x16262)+E(f785(x16263,x16261,x16264),f785(x16263,x16262,x16264))
% 201.34/201.11 [1627]~E(x16271,x16272)+E(f785(x16273,x16274,x16271),f785(x16273,x16274,x16272))
% 201.34/201.11 [1628]~E(x16281,x16282)+E(f565(x16281,x16283,x16284),f565(x16282,x16283,x16284))
% 201.34/201.11 [1629]~E(x16291,x16292)+E(f565(x16293,x16291,x16294),f565(x16293,x16292,x16294))
% 201.34/201.11 [1630]~E(x16301,x16302)+E(f565(x16303,x16304,x16301),f565(x16303,x16304,x16302))
% 201.34/201.11 [1631]~E(x16311,x16312)+E(f786(x16311),f786(x16312))
% 201.34/201.11 [1632]~E(x16321,x16322)+E(f570(x16321,x16323,x16324,x16325,x16326,x16327),f570(x16322,x16323,x16324,x16325,x16326,x16327))
% 201.34/201.11 [1633]~E(x16331,x16332)+E(f570(x16333,x16331,x16334,x16335,x16336,x16337),f570(x16333,x16332,x16334,x16335,x16336,x16337))
% 201.34/201.11 [1634]~E(x16341,x16342)+E(f570(x16343,x16344,x16341,x16345,x16346,x16347),f570(x16343,x16344,x16342,x16345,x16346,x16347))
% 201.34/201.11 [1635]~E(x16351,x16352)+E(f570(x16353,x16354,x16355,x16351,x16356,x16357),f570(x16353,x16354,x16355,x16352,x16356,x16357))
% 201.34/201.11 [1636]~E(x16361,x16362)+E(f570(x16363,x16364,x16365,x16366,x16361,x16367),f570(x16363,x16364,x16365,x16366,x16362,x16367))
% 201.34/201.11 [1637]~E(x16371,x16372)+E(f570(x16373,x16374,x16375,x16376,x16377,x16371),f570(x16373,x16374,x16375,x16376,x16377,x16372))
% 201.34/201.11 [1638]~E(x16381,x16382)+E(f405(x16381,x16383,x16384,x16385,x16386),f405(x16382,x16383,x16384,x16385,x16386))
% 201.34/201.11 [1639]~E(x16391,x16392)+E(f405(x16393,x16391,x16394,x16395,x16396),f405(x16393,x16392,x16394,x16395,x16396))
% 201.34/201.11 [1640]~E(x16401,x16402)+E(f405(x16403,x16404,x16401,x16405,x16406),f405(x16403,x16404,x16402,x16405,x16406))
% 201.34/201.11 [1641]~E(x16411,x16412)+E(f405(x16413,x16414,x16415,x16411,x16416),f405(x16413,x16414,x16415,x16412,x16416))
% 201.34/201.11 [1642]~E(x16421,x16422)+E(f405(x16423,x16424,x16425,x16426,x16421),f405(x16423,x16424,x16425,x16426,x16422))
% 201.34/201.11 [1643]~E(x16431,x16432)+E(f848(x16431,x16433),f848(x16432,x16433))
% 201.34/201.11 [1644]~E(x16441,x16442)+E(f848(x16443,x16441),f848(x16443,x16442))
% 201.34/201.11 [1645]~E(x16451,x16452)+E(f583(x16451,x16453,x16454,x16455,x16456,x16457),f583(x16452,x16453,x16454,x16455,x16456,x16457))
% 201.34/201.11 [1646]~E(x16461,x16462)+E(f583(x16463,x16461,x16464,x16465,x16466,x16467),f583(x16463,x16462,x16464,x16465,x16466,x16467))
% 201.34/201.11 [1647]~E(x16471,x16472)+E(f583(x16473,x16474,x16471,x16475,x16476,x16477),f583(x16473,x16474,x16472,x16475,x16476,x16477))
% 201.34/201.11 [1648]~E(x16481,x16482)+E(f583(x16483,x16484,x16485,x16481,x16486,x16487),f583(x16483,x16484,x16485,x16482,x16486,x16487))
% 201.34/201.11 [1649]~E(x16491,x16492)+E(f583(x16493,x16494,x16495,x16496,x16491,x16497),f583(x16493,x16494,x16495,x16496,x16492,x16497))
% 201.34/201.11 [1650]~E(x16501,x16502)+E(f583(x16503,x16504,x16505,x16506,x16507,x16501),f583(x16503,x16504,x16505,x16506,x16507,x16502))
% 201.34/201.11 [1651]~E(x16511,x16512)+E(f867(x16511,x16513,x16514,x16515,x16516),f867(x16512,x16513,x16514,x16515,x16516))
% 201.34/201.11 [1652]~E(x16521,x16522)+E(f867(x16523,x16521,x16524,x16525,x16526),f867(x16523,x16522,x16524,x16525,x16526))
% 201.34/201.11 [1653]~E(x16531,x16532)+E(f867(x16533,x16534,x16531,x16535,x16536),f867(x16533,x16534,x16532,x16535,x16536))
% 201.34/201.11 [1654]~E(x16541,x16542)+E(f867(x16543,x16544,x16545,x16541,x16546),f867(x16543,x16544,x16545,x16542,x16546))
% 201.34/201.11 [1655]~E(x16551,x16552)+E(f867(x16553,x16554,x16555,x16556,x16551),f867(x16553,x16554,x16555,x16556,x16552))
% 201.34/201.11 [1656]~E(x16561,x16562)+E(f261(x16561,x16563,x16564,x16565),f261(x16562,x16563,x16564,x16565))
% 201.34/201.11 [1657]~E(x16571,x16572)+E(f261(x16573,x16571,x16574,x16575),f261(x16573,x16572,x16574,x16575))
% 201.34/201.11 [1658]~E(x16581,x16582)+E(f261(x16583,x16584,x16581,x16585),f261(x16583,x16584,x16582,x16585))
% 201.34/201.11 [1659]~E(x16591,x16592)+E(f261(x16593,x16594,x16595,x16591),f261(x16593,x16594,x16595,x16592))
% 201.34/201.11 [1660]~E(x16601,x16602)+E(f470(x16601,x16603,x16604),f470(x16602,x16603,x16604))
% 201.34/201.11 [1661]~E(x16611,x16612)+E(f470(x16613,x16611,x16614),f470(x16613,x16612,x16614))
% 201.34/201.11 [1662]~E(x16621,x16622)+E(f470(x16623,x16624,x16621),f470(x16623,x16624,x16622))
% 201.34/201.11 [1663]~E(x16631,x16632)+E(f775(x16631,x16633,x16634,x16635,x16636),f775(x16632,x16633,x16634,x16635,x16636))
% 201.34/201.11 [1664]~E(x16641,x16642)+E(f775(x16643,x16641,x16644,x16645,x16646),f775(x16643,x16642,x16644,x16645,x16646))
% 201.34/201.11 [1665]~E(x16651,x16652)+E(f775(x16653,x16654,x16651,x16655,x16656),f775(x16653,x16654,x16652,x16655,x16656))
% 201.34/201.11 [1666]~E(x16661,x16662)+E(f775(x16663,x16664,x16665,x16661,x16666),f775(x16663,x16664,x16665,x16662,x16666))
% 201.34/201.11 [1667]~E(x16671,x16672)+E(f775(x16673,x16674,x16675,x16676,x16671),f775(x16673,x16674,x16675,x16676,x16672))
% 201.34/201.11 [1668]~E(x16681,x16682)+E(f596(x16681,x16683,x16684),f596(x16682,x16683,x16684))
% 201.34/201.11 [1669]~E(x16691,x16692)+E(f596(x16693,x16691,x16694),f596(x16693,x16692,x16694))
% 201.34/201.11 [1670]~E(x16701,x16702)+E(f596(x16703,x16704,x16701),f596(x16703,x16704,x16702))
% 201.34/201.11 [1671]~E(x16711,x16712)+E(f358(x16711,x16713,x16714),f358(x16712,x16713,x16714))
% 201.34/201.11 [1672]~E(x16721,x16722)+E(f358(x16723,x16721,x16724),f358(x16723,x16722,x16724))
% 201.34/201.11 [1673]~E(x16731,x16732)+E(f358(x16733,x16734,x16731),f358(x16733,x16734,x16732))
% 201.34/201.11 [1674]~E(x16741,x16742)+E(f677(x16741,x16743),f677(x16742,x16743))
% 201.34/201.11 [1675]~E(x16751,x16752)+E(f677(x16753,x16751),f677(x16753,x16752))
% 201.34/201.11 [1676]~E(x16761,x16762)+E(f740(x16761,x16763,x16764),f740(x16762,x16763,x16764))
% 201.34/201.11 [1677]~E(x16771,x16772)+E(f740(x16773,x16771,x16774),f740(x16773,x16772,x16774))
% 201.34/201.11 [1678]~E(x16781,x16782)+E(f740(x16783,x16784,x16781),f740(x16783,x16784,x16782))
% 201.34/201.11 [1679]~E(x16791,x16792)+E(f876(x16791,x16793,x16794),f876(x16792,x16793,x16794))
% 201.34/201.11 [1680]~E(x16801,x16802)+E(f876(x16803,x16801,x16804),f876(x16803,x16802,x16804))
% 201.34/201.11 [1681]~E(x16811,x16812)+E(f876(x16813,x16814,x16811),f876(x16813,x16814,x16812))
% 201.34/201.11 [1682]~E(x16821,x16822)+E(f414(x16821,x16823,x16824,x16825),f414(x16822,x16823,x16824,x16825))
% 201.34/201.11 [1683]~E(x16831,x16832)+E(f414(x16833,x16831,x16834,x16835),f414(x16833,x16832,x16834,x16835))
% 201.34/201.11 [1684]~E(x16841,x16842)+E(f414(x16843,x16844,x16841,x16845),f414(x16843,x16844,x16842,x16845))
% 201.34/201.11 [1685]~E(x16851,x16852)+E(f414(x16853,x16854,x16855,x16851),f414(x16853,x16854,x16855,x16852))
% 201.34/201.11 [1686]~E(x16861,x16862)+E(f444(x16861,x16863,x16864,x16865),f444(x16862,x16863,x16864,x16865))
% 201.34/201.11 [1687]~E(x16871,x16872)+E(f444(x16873,x16871,x16874,x16875),f444(x16873,x16872,x16874,x16875))
% 201.34/201.11 [1688]~E(x16881,x16882)+E(f444(x16883,x16884,x16881,x16885),f444(x16883,x16884,x16882,x16885))
% 201.34/201.11 [1689]~E(x16891,x16892)+E(f444(x16893,x16894,x16895,x16891),f444(x16893,x16894,x16895,x16892))
% 201.34/201.11 [1690]~E(x16901,x16902)+E(f688(x16901,x16903,x16904),f688(x16902,x16903,x16904))
% 201.34/201.11 [1691]~E(x16911,x16912)+E(f688(x16913,x16911,x16914),f688(x16913,x16912,x16914))
% 201.34/201.11 [1692]~E(x16921,x16922)+E(f688(x16923,x16924,x16921),f688(x16923,x16924,x16922))
% 201.34/201.11 [1693]~E(x16931,x16932)+E(f670(x16931,x16933,x16934),f670(x16932,x16933,x16934))
% 201.34/201.11 [1694]~E(x16941,x16942)+E(f670(x16943,x16941,x16944),f670(x16943,x16942,x16944))
% 201.34/201.11 [1695]~E(x16951,x16952)+E(f670(x16953,x16954,x16951),f670(x16953,x16954,x16952))
% 201.34/201.11 [1696]~E(x16961,x16962)+E(f446(x16961,x16963,x16964,x16965,x16966),f446(x16962,x16963,x16964,x16965,x16966))
% 201.34/201.11 [1697]~E(x16971,x16972)+E(f446(x16973,x16971,x16974,x16975,x16976),f446(x16973,x16972,x16974,x16975,x16976))
% 201.34/201.11 [1698]~E(x16981,x16982)+E(f446(x16983,x16984,x16981,x16985,x16986),f446(x16983,x16984,x16982,x16985,x16986))
% 201.34/201.11 [1699]~E(x16991,x16992)+E(f446(x16993,x16994,x16995,x16991,x16996),f446(x16993,x16994,x16995,x16992,x16996))
% 201.34/201.11 [1700]~E(x17001,x17002)+E(f446(x17003,x17004,x17005,x17006,x17001),f446(x17003,x17004,x17005,x17006,x17002))
% 201.34/201.11 [1701]~E(x17011,x17012)+E(f382(x17011,x17013,x17014,x17015,x17016,x17017,x17018),f382(x17012,x17013,x17014,x17015,x17016,x17017,x17018))
% 201.34/201.11 [1702]~E(x17021,x17022)+E(f382(x17023,x17021,x17024,x17025,x17026,x17027,x17028),f382(x17023,x17022,x17024,x17025,x17026,x17027,x17028))
% 201.34/201.11 [1703]~E(x17031,x17032)+E(f382(x17033,x17034,x17031,x17035,x17036,x17037,x17038),f382(x17033,x17034,x17032,x17035,x17036,x17037,x17038))
% 201.34/201.11 [1704]~E(x17041,x17042)+E(f382(x17043,x17044,x17045,x17041,x17046,x17047,x17048),f382(x17043,x17044,x17045,x17042,x17046,x17047,x17048))
% 201.34/201.11 [1705]~E(x17051,x17052)+E(f382(x17053,x17054,x17055,x17056,x17051,x17057,x17058),f382(x17053,x17054,x17055,x17056,x17052,x17057,x17058))
% 201.34/201.11 [1706]~E(x17061,x17062)+E(f382(x17063,x17064,x17065,x17066,x17067,x17061,x17068),f382(x17063,x17064,x17065,x17066,x17067,x17062,x17068))
% 201.34/201.11 [1707]~E(x17071,x17072)+E(f382(x17073,x17074,x17075,x17076,x17077,x17078,x17071),f382(x17073,x17074,x17075,x17076,x17077,x17078,x17072))
% 201.34/201.11 [1708]~E(x17081,x17082)+E(f770(x17081,x17083,x17084),f770(x17082,x17083,x17084))
% 201.34/201.11 [1709]~E(x17091,x17092)+E(f770(x17093,x17091,x17094),f770(x17093,x17092,x17094))
% 201.34/201.11 [1710]~E(x17101,x17102)+E(f770(x17103,x17104,x17101),f770(x17103,x17104,x17102))
% 201.34/201.11 [1711]~E(x17111,x17112)+E(f654(x17111,x17113,x17114),f654(x17112,x17113,x17114))
% 201.34/201.11 [1712]~E(x17121,x17122)+E(f654(x17123,x17121,x17124),f654(x17123,x17122,x17124))
% 201.34/201.11 [1713]~E(x17131,x17132)+E(f654(x17133,x17134,x17131),f654(x17133,x17134,x17132))
% 201.34/201.11 [1714]~E(x17141,x17142)+E(f608(x17141,x17143,x17144,x17145,x17146),f608(x17142,x17143,x17144,x17145,x17146))
% 201.34/201.11 [1715]~E(x17151,x17152)+E(f608(x17153,x17151,x17154,x17155,x17156),f608(x17153,x17152,x17154,x17155,x17156))
% 201.34/201.11 [1716]~E(x17161,x17162)+E(f608(x17163,x17164,x17161,x17165,x17166),f608(x17163,x17164,x17162,x17165,x17166))
% 201.34/201.11 [1717]~E(x17171,x17172)+E(f608(x17173,x17174,x17175,x17171,x17176),f608(x17173,x17174,x17175,x17172,x17176))
% 201.34/201.11 [1718]~E(x17181,x17182)+E(f608(x17183,x17184,x17185,x17186,x17181),f608(x17183,x17184,x17185,x17186,x17182))
% 201.34/201.11 [1719]~E(x17191,x17192)+E(f868(x17191,x17193,x17194,x17195,x17196),f868(x17192,x17193,x17194,x17195,x17196))
% 201.34/201.11 [1720]~E(x17201,x17202)+E(f868(x17203,x17201,x17204,x17205,x17206),f868(x17203,x17202,x17204,x17205,x17206))
% 201.34/201.11 [1721]~E(x17211,x17212)+E(f868(x17213,x17214,x17211,x17215,x17216),f868(x17213,x17214,x17212,x17215,x17216))
% 201.34/201.11 [1722]~E(x17221,x17222)+E(f868(x17223,x17224,x17225,x17221,x17226),f868(x17223,x17224,x17225,x17222,x17226))
% 201.34/201.11 [1723]~E(x17231,x17232)+E(f868(x17233,x17234,x17235,x17236,x17231),f868(x17233,x17234,x17235,x17236,x17232))
% 201.34/201.11 [1724]~E(x17241,x17242)+E(f597(x17241,x17243,x17244),f597(x17242,x17243,x17244))
% 201.34/201.11 [1725]~E(x17251,x17252)+E(f597(x17253,x17251,x17254),f597(x17253,x17252,x17254))
% 201.34/201.11 [1726]~E(x17261,x17262)+E(f597(x17263,x17264,x17261),f597(x17263,x17264,x17262))
% 201.34/201.11 [1727]~E(x17271,x17272)+E(f778(x17271),f778(x17272))
% 201.34/201.11 [1728]~E(x17281,x17282)+E(f617(x17281,x17283,x17284,x17285),f617(x17282,x17283,x17284,x17285))
% 201.34/201.11 [1729]~E(x17291,x17292)+E(f617(x17293,x17291,x17294,x17295),f617(x17293,x17292,x17294,x17295))
% 201.34/201.11 [1730]~E(x17301,x17302)+E(f617(x17303,x17304,x17301,x17305),f617(x17303,x17304,x17302,x17305))
% 201.34/201.11 [1731]~E(x17311,x17312)+E(f617(x17313,x17314,x17315,x17311),f617(x17313,x17314,x17315,x17312))
% 201.34/201.11 [1732]~E(x17321,x17322)+E(f571(x17321,x17323,x17324,x17325,x17326,x17327),f571(x17322,x17323,x17324,x17325,x17326,x17327))
% 201.34/201.11 [1733]~E(x17331,x17332)+E(f571(x17333,x17331,x17334,x17335,x17336,x17337),f571(x17333,x17332,x17334,x17335,x17336,x17337))
% 201.34/201.11 [1734]~E(x17341,x17342)+E(f571(x17343,x17344,x17341,x17345,x17346,x17347),f571(x17343,x17344,x17342,x17345,x17346,x17347))
% 201.34/201.11 [1735]~E(x17351,x17352)+E(f571(x17353,x17354,x17355,x17351,x17356,x17357),f571(x17353,x17354,x17355,x17352,x17356,x17357))
% 201.34/201.11 [1736]~E(x17361,x17362)+E(f571(x17363,x17364,x17365,x17366,x17361,x17367),f571(x17363,x17364,x17365,x17366,x17362,x17367))
% 201.34/201.11 [1737]~E(x17371,x17372)+E(f571(x17373,x17374,x17375,x17376,x17377,x17371),f571(x17373,x17374,x17375,x17376,x17377,x17372))
% 201.34/201.11 [1738]~E(x17381,x17382)+E(f580(x17381,x17383,x17384),f580(x17382,x17383,x17384))
% 201.34/201.11 [1739]~E(x17391,x17392)+E(f580(x17393,x17391,x17394),f580(x17393,x17392,x17394))
% 201.34/201.11 [1740]~E(x17401,x17402)+E(f580(x17403,x17404,x17401),f580(x17403,x17404,x17402))
% 201.34/201.11 [1741]~E(x17411,x17412)+E(f568(x17411,x17413,x17414,x17415,x17416,x17417),f568(x17412,x17413,x17414,x17415,x17416,x17417))
% 201.34/201.11 [1742]~E(x17421,x17422)+E(f568(x17423,x17421,x17424,x17425,x17426,x17427),f568(x17423,x17422,x17424,x17425,x17426,x17427))
% 201.34/201.11 [1743]~E(x17431,x17432)+E(f568(x17433,x17434,x17431,x17435,x17436,x17437),f568(x17433,x17434,x17432,x17435,x17436,x17437))
% 201.34/201.11 [1744]~E(x17441,x17442)+E(f568(x17443,x17444,x17445,x17441,x17446,x17447),f568(x17443,x17444,x17445,x17442,x17446,x17447))
% 201.34/201.11 [1745]~E(x17451,x17452)+E(f568(x17453,x17454,x17455,x17456,x17451,x17457),f568(x17453,x17454,x17455,x17456,x17452,x17457))
% 201.34/201.11 [1746]~E(x17461,x17462)+E(f568(x17463,x17464,x17465,x17466,x17467,x17461),f568(x17463,x17464,x17465,x17466,x17467,x17462))
% 201.34/201.11 [1747]~E(x17471,x17472)+E(f327(x17471),f327(x17472))
% 201.34/201.11 [1748]~E(x17481,x17482)+E(f516(x17481,x17483,x17484),f516(x17482,x17483,x17484))
% 201.34/201.11 [1749]~E(x17491,x17492)+E(f516(x17493,x17491,x17494),f516(x17493,x17492,x17494))
% 201.34/201.11 [1750]~E(x17501,x17502)+E(f516(x17503,x17504,x17501),f516(x17503,x17504,x17502))
% 201.34/201.11 [1751]~E(x17511,x17512)+E(f220(x17511,x17513,x17514,x17515),f220(x17512,x17513,x17514,x17515))
% 201.34/201.11 [1752]~E(x17521,x17522)+E(f220(x17523,x17521,x17524,x17525),f220(x17523,x17522,x17524,x17525))
% 201.34/201.11 [1753]~E(x17531,x17532)+E(f220(x17533,x17534,x17531,x17535),f220(x17533,x17534,x17532,x17535))
% 201.34/201.11 [1754]~E(x17541,x17542)+E(f220(x17543,x17544,x17545,x17541),f220(x17543,x17544,x17545,x17542))
% 201.34/201.11 [1755]~E(x17551,x17552)+E(f21(x17551,x17553,x17554,x17555),f21(x17552,x17553,x17554,x17555))
% 201.34/201.11 [1756]~E(x17561,x17562)+E(f21(x17563,x17561,x17564,x17565),f21(x17563,x17562,x17564,x17565))
% 201.34/201.11 [1757]~E(x17571,x17572)+E(f21(x17573,x17574,x17571,x17575),f21(x17573,x17574,x17572,x17575))
% 201.34/201.11 [1758]~E(x17581,x17582)+E(f21(x17583,x17584,x17585,x17581),f21(x17583,x17584,x17585,x17582))
% 201.34/201.11 [1759]~E(x17591,x17592)+E(f428(x17591,x17593,x17594,x17595),f428(x17592,x17593,x17594,x17595))
% 201.34/201.11 [1760]~E(x17601,x17602)+E(f428(x17603,x17601,x17604,x17605),f428(x17603,x17602,x17604,x17605))
% 201.34/201.11 [1761]~E(x17611,x17612)+E(f428(x17613,x17614,x17611,x17615),f428(x17613,x17614,x17612,x17615))
% 201.34/201.11 [1762]~E(x17621,x17622)+E(f428(x17623,x17624,x17625,x17621),f428(x17623,x17624,x17625,x17622))
% 201.34/201.11 [1763]~E(x17631,x17632)+E(f716(x17631,x17633,x17634),f716(x17632,x17633,x17634))
% 201.34/201.11 [1764]~E(x17641,x17642)+E(f716(x17643,x17641,x17644),f716(x17643,x17642,x17644))
% 201.34/201.11 [1765]~E(x17651,x17652)+E(f716(x17653,x17654,x17651),f716(x17653,x17654,x17652))
% 201.34/201.11 [1766]~E(x17661,x17662)+E(f767(x17661,x17663,x17664,x17665,x17666,x17667,x17668),f767(x17662,x17663,x17664,x17665,x17666,x17667,x17668))
% 201.34/201.11 [1767]~E(x17671,x17672)+E(f767(x17673,x17671,x17674,x17675,x17676,x17677,x17678),f767(x17673,x17672,x17674,x17675,x17676,x17677,x17678))
% 201.34/201.11 [1768]~E(x17681,x17682)+E(f767(x17683,x17684,x17681,x17685,x17686,x17687,x17688),f767(x17683,x17684,x17682,x17685,x17686,x17687,x17688))
% 201.34/201.11 [1769]~E(x17691,x17692)+E(f767(x17693,x17694,x17695,x17691,x17696,x17697,x17698),f767(x17693,x17694,x17695,x17692,x17696,x17697,x17698))
% 201.34/201.11 [1770]~E(x17701,x17702)+E(f767(x17703,x17704,x17705,x17706,x17701,x17707,x17708),f767(x17703,x17704,x17705,x17706,x17702,x17707,x17708))
% 201.34/201.11 [1771]~E(x17711,x17712)+E(f767(x17713,x17714,x17715,x17716,x17717,x17711,x17718),f767(x17713,x17714,x17715,x17716,x17717,x17712,x17718))
% 201.34/201.11 [1772]~E(x17721,x17722)+E(f767(x17723,x17724,x17725,x17726,x17727,x17728,x17721),f767(x17723,x17724,x17725,x17726,x17727,x17728,x17722))
% 201.34/201.11 [1773]~E(x17731,x17732)+E(f549(x17731,x17733,x17734,x17735),f549(x17732,x17733,x17734,x17735))
% 201.34/201.11 [1774]~E(x17741,x17742)+E(f549(x17743,x17741,x17744,x17745),f549(x17743,x17742,x17744,x17745))
% 201.34/201.11 [1775]~E(x17751,x17752)+E(f549(x17753,x17754,x17751,x17755),f549(x17753,x17754,x17752,x17755))
% 201.34/201.11 [1776]~E(x17761,x17762)+E(f549(x17763,x17764,x17765,x17761),f549(x17763,x17764,x17765,x17762))
% 201.34/201.11 [1777]~E(x17771,x17772)+E(f735(x17771,x17773,x17774),f735(x17772,x17773,x17774))
% 201.34/201.11 [1778]~E(x17781,x17782)+E(f735(x17783,x17781,x17784),f735(x17783,x17782,x17784))
% 201.34/201.11 [1779]~E(x17791,x17792)+E(f735(x17793,x17794,x17791),f735(x17793,x17794,x17792))
% 201.34/201.11 [1780]~E(x17801,x17802)+E(f780(x17801,x17803),f780(x17802,x17803))
% 201.34/201.11 [1781]~E(x17811,x17812)+E(f780(x17813,x17811),f780(x17813,x17812))
% 201.34/201.11 [1782]~E(x17821,x17822)+E(f723(x17821,x17823,x17824,x17825,x17826),f723(x17822,x17823,x17824,x17825,x17826))
% 201.34/201.11 [1783]~E(x17831,x17832)+E(f723(x17833,x17831,x17834,x17835,x17836),f723(x17833,x17832,x17834,x17835,x17836))
% 201.34/201.11 [1784]~E(x17841,x17842)+E(f723(x17843,x17844,x17841,x17845,x17846),f723(x17843,x17844,x17842,x17845,x17846))
% 201.34/201.11 [1785]~E(x17851,x17852)+E(f723(x17853,x17854,x17855,x17851,x17856),f723(x17853,x17854,x17855,x17852,x17856))
% 201.34/201.11 [1786]~E(x17861,x17862)+E(f723(x17863,x17864,x17865,x17866,x17861),f723(x17863,x17864,x17865,x17866,x17862))
% 201.34/201.11 [1787]~E(x17871,x17872)+E(f588(x17871,x17873),f588(x17872,x17873))
% 201.34/201.11 [1788]~E(x17881,x17882)+E(f588(x17883,x17881),f588(x17883,x17882))
% 201.34/201.11 [1789]~E(x17891,x17892)+E(f722(x17891,x17893,x17894,x17895,x17896),f722(x17892,x17893,x17894,x17895,x17896))
% 201.34/201.11 [1790]~E(x17901,x17902)+E(f722(x17903,x17901,x17904,x17905,x17906),f722(x17903,x17902,x17904,x17905,x17906))
% 201.34/201.11 [1791]~E(x17911,x17912)+E(f722(x17913,x17914,x17911,x17915,x17916),f722(x17913,x17914,x17912,x17915,x17916))
% 201.34/201.11 [1792]~E(x17921,x17922)+E(f722(x17923,x17924,x17925,x17921,x17926),f722(x17923,x17924,x17925,x17922,x17926))
% 201.34/201.11 [1793]~E(x17931,x17932)+E(f722(x17933,x17934,x17935,x17936,x17931),f722(x17933,x17934,x17935,x17936,x17932))
% 201.34/201.11 [1794]~E(x17941,x17942)+E(f508(x17941,x17943,x17944,x17945,x17946,x17947,x17948,x17949),f508(x17942,x17943,x17944,x17945,x17946,x17947,x17948,x17949))
% 201.34/201.11 [1795]~E(x17951,x17952)+E(f508(x17953,x17951,x17954,x17955,x17956,x17957,x17958,x17959),f508(x17953,x17952,x17954,x17955,x17956,x17957,x17958,x17959))
% 201.34/201.11 [1796]~E(x17961,x17962)+E(f508(x17963,x17964,x17961,x17965,x17966,x17967,x17968,x17969),f508(x17963,x17964,x17962,x17965,x17966,x17967,x17968,x17969))
% 201.34/201.11 [1797]~E(x17971,x17972)+E(f508(x17973,x17974,x17975,x17971,x17976,x17977,x17978,x17979),f508(x17973,x17974,x17975,x17972,x17976,x17977,x17978,x17979))
% 201.34/201.11 [1798]~E(x17981,x17982)+E(f508(x17983,x17984,x17985,x17986,x17981,x17987,x17988,x17989),f508(x17983,x17984,x17985,x17986,x17982,x17987,x17988,x17989))
% 201.34/201.11 [1799]~E(x17991,x17992)+E(f508(x17993,x17994,x17995,x17996,x17997,x17991,x17998,x17999),f508(x17993,x17994,x17995,x17996,x17997,x17992,x17998,x17999))
% 201.34/201.11 [1800]~E(x18001,x18002)+E(f508(x18003,x18004,x18005,x18006,x18007,x18008,x18001,x18009),f508(x18003,x18004,x18005,x18006,x18007,x18008,x18002,x18009))
% 201.34/201.11 [1801]~E(x18011,x18012)+E(f508(x18013,x18014,x18015,x18016,x18017,x18018,x18019,x18011),f508(x18013,x18014,x18015,x18016,x18017,x18018,x18019,x18012))
% 201.34/201.11 [1802]~E(x18021,x18022)+E(f548(x18021,x18023,x18024,x18025),f548(x18022,x18023,x18024,x18025))
% 201.34/201.11 [1803]~E(x18031,x18032)+E(f548(x18033,x18031,x18034,x18035),f548(x18033,x18032,x18034,x18035))
% 201.34/201.11 [1804]~E(x18041,x18042)+E(f548(x18043,x18044,x18041,x18045),f548(x18043,x18044,x18042,x18045))
% 201.34/201.11 [1805]~E(x18051,x18052)+E(f548(x18053,x18054,x18055,x18051),f548(x18053,x18054,x18055,x18052))
% 201.34/201.11 [1806]~E(x18061,x18062)+E(f320(x18061),f320(x18062))
% 201.34/201.11 [1807]~E(x18071,x18072)+E(f633(x18071,x18073,x18074,x18075),f633(x18072,x18073,x18074,x18075))
% 201.34/201.11 [1808]~E(x18081,x18082)+E(f633(x18083,x18081,x18084,x18085),f633(x18083,x18082,x18084,x18085))
% 201.34/201.11 [1809]~E(x18091,x18092)+E(f633(x18093,x18094,x18091,x18095),f633(x18093,x18094,x18092,x18095))
% 201.34/201.11 [1810]~E(x18101,x18102)+E(f633(x18103,x18104,x18105,x18101),f633(x18103,x18104,x18105,x18102))
% 201.34/201.11 [1811]~E(x18111,x18112)+E(f635(x18111,x18113,x18114,x18115),f635(x18112,x18113,x18114,x18115))
% 201.34/201.11 [1812]~E(x18121,x18122)+E(f635(x18123,x18121,x18124,x18125),f635(x18123,x18122,x18124,x18125))
% 201.34/201.11 [1813]~E(x18131,x18132)+E(f635(x18133,x18134,x18131,x18135),f635(x18133,x18134,x18132,x18135))
% 201.34/201.11 [1814]~E(x18141,x18142)+E(f635(x18143,x18144,x18145,x18141),f635(x18143,x18144,x18145,x18142))
% 201.34/201.11 [1815]~E(x18151,x18152)+E(f813(x18151,x18153,x18154),f813(x18152,x18153,x18154))
% 201.34/201.11 [1816]~E(x18161,x18162)+E(f813(x18163,x18161,x18164),f813(x18163,x18162,x18164))
% 201.34/201.11 [1817]~E(x18171,x18172)+E(f813(x18173,x18174,x18171),f813(x18173,x18174,x18172))
% 201.34/201.11 [1818]~E(x18181,x18182)+E(f469(x18181,x18183,x18184),f469(x18182,x18183,x18184))
% 201.34/201.11 [1819]~E(x18191,x18192)+E(f469(x18193,x18191,x18194),f469(x18193,x18192,x18194))
% 201.34/201.11 [1820]~E(x18201,x18202)+E(f469(x18203,x18204,x18201),f469(x18203,x18204,x18202))
% 201.34/201.11 [1821]~E(x18211,x18212)+E(f648(x18211,x18213),f648(x18212,x18213))
% 201.34/201.11 [1822]~E(x18221,x18222)+E(f648(x18223,x18221),f648(x18223,x18222))
% 201.34/201.11 [1823]~E(x18231,x18232)+E(f737(x18231,x18233,x18234),f737(x18232,x18233,x18234))
% 201.34/201.11 [1824]~E(x18241,x18242)+E(f737(x18243,x18241,x18244),f737(x18243,x18242,x18244))
% 201.34/201.11 [1825]~E(x18251,x18252)+E(f737(x18253,x18254,x18251),f737(x18253,x18254,x18252))
% 201.34/201.11 [1826]~E(x18261,x18262)+E(f474(x18261,x18263,x18264),f474(x18262,x18263,x18264))
% 201.34/201.11 [1827]~E(x18271,x18272)+E(f474(x18273,x18271,x18274),f474(x18273,x18272,x18274))
% 201.34/201.11 [1828]~E(x18281,x18282)+E(f474(x18283,x18284,x18281),f474(x18283,x18284,x18282))
% 201.34/201.11 [1829]~E(x18291,x18292)+E(f388(x18291,x18293),f388(x18292,x18293))
% 201.34/201.11 [1830]~E(x18301,x18302)+E(f388(x18303,x18301),f388(x18303,x18302))
% 201.34/201.11 [1831]~E(x18311,x18312)+E(f678(x18311,x18313,x18314,x18315),f678(x18312,x18313,x18314,x18315))
% 201.34/201.11 [1832]~E(x18321,x18322)+E(f678(x18323,x18321,x18324,x18325),f678(x18323,x18322,x18324,x18325))
% 201.34/201.11 [1833]~E(x18331,x18332)+E(f678(x18333,x18334,x18331,x18335),f678(x18333,x18334,x18332,x18335))
% 201.34/201.11 [1834]~E(x18341,x18342)+E(f678(x18343,x18344,x18345,x18341),f678(x18343,x18344,x18345,x18342))
% 201.34/201.11 [1835]~E(x18351,x18352)+E(f791(x18351,x18353,x18354,x18355,x18356,x18357),f791(x18352,x18353,x18354,x18355,x18356,x18357))
% 201.34/201.11 [1836]~E(x18361,x18362)+E(f791(x18363,x18361,x18364,x18365,x18366,x18367),f791(x18363,x18362,x18364,x18365,x18366,x18367))
% 201.34/201.11 [1837]~E(x18371,x18372)+E(f791(x18373,x18374,x18371,x18375,x18376,x18377),f791(x18373,x18374,x18372,x18375,x18376,x18377))
% 201.34/201.11 [1838]~E(x18381,x18382)+E(f791(x18383,x18384,x18385,x18381,x18386,x18387),f791(x18383,x18384,x18385,x18382,x18386,x18387))
% 201.34/201.11 [1839]~E(x18391,x18392)+E(f791(x18393,x18394,x18395,x18396,x18391,x18397),f791(x18393,x18394,x18395,x18396,x18392,x18397))
% 201.34/201.11 [1840]~E(x18401,x18402)+E(f791(x18403,x18404,x18405,x18406,x18407,x18401),f791(x18403,x18404,x18405,x18406,x18407,x18402))
% 201.34/201.11 [1841]~E(x18411,x18412)+E(f618(x18411,x18413,x18414,x18415),f618(x18412,x18413,x18414,x18415))
% 201.34/201.11 [1842]~E(x18421,x18422)+E(f618(x18423,x18421,x18424,x18425),f618(x18423,x18422,x18424,x18425))
% 201.34/201.11 [1843]~E(x18431,x18432)+E(f618(x18433,x18434,x18431,x18435),f618(x18433,x18434,x18432,x18435))
% 201.34/201.11 [1844]~E(x18441,x18442)+E(f618(x18443,x18444,x18445,x18441),f618(x18443,x18444,x18445,x18442))
% 201.34/201.11 [1845]~E(x18451,x18452)+E(f679(x18451,x18453,x18454,x18455,x18456),f679(x18452,x18453,x18454,x18455,x18456))
% 201.34/201.11 [1846]~E(x18461,x18462)+E(f679(x18463,x18461,x18464,x18465,x18466),f679(x18463,x18462,x18464,x18465,x18466))
% 201.34/201.11 [1847]~E(x18471,x18472)+E(f679(x18473,x18474,x18471,x18475,x18476),f679(x18473,x18474,x18472,x18475,x18476))
% 201.34/201.11 [1848]~E(x18481,x18482)+E(f679(x18483,x18484,x18485,x18481,x18486),f679(x18483,x18484,x18485,x18482,x18486))
% 201.34/201.11 [1849]~E(x18491,x18492)+E(f679(x18493,x18494,x18495,x18496,x18491),f679(x18493,x18494,x18495,x18496,x18492))
% 201.34/201.11 [1850]~E(x18501,x18502)+E(f173(x18501,x18503,x18504),f173(x18502,x18503,x18504))
% 201.34/201.11 [1851]~E(x18511,x18512)+E(f173(x18513,x18511,x18514),f173(x18513,x18512,x18514))
% 201.34/201.11 [1852]~E(x18521,x18522)+E(f173(x18523,x18524,x18521),f173(x18523,x18524,x18522))
% 201.34/201.11 [1853]~E(x18531,x18532)+E(f283(x18531,x18533,x18534),f283(x18532,x18533,x18534))
% 201.34/201.11 [1854]~E(x18541,x18542)+E(f283(x18543,x18541,x18544),f283(x18543,x18542,x18544))
% 201.34/201.11 [1855]~E(x18551,x18552)+E(f283(x18553,x18554,x18551),f283(x18553,x18554,x18552))
% 201.34/201.11 [1856]~E(x18561,x18562)+E(f795(x18561),f795(x18562))
% 201.34/201.11 [1857]~E(x18571,x18572)+E(f802(x18571,x18573),f802(x18572,x18573))
% 201.34/201.11 [1858]~E(x18581,x18582)+E(f802(x18583,x18581),f802(x18583,x18582))
% 201.34/201.11 [1859]~E(x18591,x18592)+E(f152(x18591,x18593,x18594,x18595),f152(x18592,x18593,x18594,x18595))
% 201.34/201.11 [1860]~E(x18601,x18602)+E(f152(x18603,x18601,x18604,x18605),f152(x18603,x18602,x18604,x18605))
% 201.34/201.11 [1861]~E(x18611,x18612)+E(f152(x18613,x18614,x18611,x18615),f152(x18613,x18614,x18612,x18615))
% 201.34/201.11 [1862]~E(x18621,x18622)+E(f152(x18623,x18624,x18625,x18621),f152(x18623,x18624,x18625,x18622))
% 201.34/201.11 [1863]~E(x18631,x18632)+E(f715(x18631,x18633),f715(x18632,x18633))
% 201.34/201.11 [1864]~E(x18641,x18642)+E(f715(x18643,x18641),f715(x18643,x18642))
% 201.34/201.11 [1865]~E(x18651,x18652)+E(f540(x18651,x18653,x18654,x18655),f540(x18652,x18653,x18654,x18655))
% 201.34/201.11 [1866]~E(x18661,x18662)+E(f540(x18663,x18661,x18664,x18665),f540(x18663,x18662,x18664,x18665))
% 201.34/201.11 [1867]~E(x18671,x18672)+E(f540(x18673,x18674,x18671,x18675),f540(x18673,x18674,x18672,x18675))
% 201.34/201.11 [1868]~E(x18681,x18682)+E(f540(x18683,x18684,x18685,x18681),f540(x18683,x18684,x18685,x18682))
% 201.34/201.11 [1869]~E(x18691,x18692)+E(f676(x18691,x18693,x18694,x18695,x18696),f676(x18692,x18693,x18694,x18695,x18696))
% 201.34/201.11 [1870]~E(x18701,x18702)+E(f676(x18703,x18701,x18704,x18705,x18706),f676(x18703,x18702,x18704,x18705,x18706))
% 201.34/201.11 [1871]~E(x18711,x18712)+E(f676(x18713,x18714,x18711,x18715,x18716),f676(x18713,x18714,x18712,x18715,x18716))
% 201.34/201.11 [1872]~E(x18721,x18722)+E(f676(x18723,x18724,x18725,x18721,x18726),f676(x18723,x18724,x18725,x18722,x18726))
% 201.34/201.11 [1873]~E(x18731,x18732)+E(f676(x18733,x18734,x18735,x18736,x18731),f676(x18733,x18734,x18735,x18736,x18732))
% 201.34/201.11 [1874]~E(x18741,x18742)+E(f829(x18741,x18743,x18744,x18745,x18746,x18747),f829(x18742,x18743,x18744,x18745,x18746,x18747))
% 201.34/201.11 [1875]~E(x18751,x18752)+E(f829(x18753,x18751,x18754,x18755,x18756,x18757),f829(x18753,x18752,x18754,x18755,x18756,x18757))
% 201.34/201.11 [1876]~E(x18761,x18762)+E(f829(x18763,x18764,x18761,x18765,x18766,x18767),f829(x18763,x18764,x18762,x18765,x18766,x18767))
% 201.34/201.11 [1877]~E(x18771,x18772)+E(f829(x18773,x18774,x18775,x18771,x18776,x18777),f829(x18773,x18774,x18775,x18772,x18776,x18777))
% 201.34/201.11 [1878]~E(x18781,x18782)+E(f829(x18783,x18784,x18785,x18786,x18781,x18787),f829(x18783,x18784,x18785,x18786,x18782,x18787))
% 201.34/201.11 [1879]~E(x18791,x18792)+E(f829(x18793,x18794,x18795,x18796,x18797,x18791),f829(x18793,x18794,x18795,x18796,x18797,x18792))
% 201.34/201.11 [1880]~E(x18801,x18802)+E(f373(x18801,x18803,x18804),f373(x18802,x18803,x18804))
% 201.34/201.11 [1881]~E(x18811,x18812)+E(f373(x18813,x18811,x18814),f373(x18813,x18812,x18814))
% 201.34/201.11 [1882]~E(x18821,x18822)+E(f373(x18823,x18824,x18821),f373(x18823,x18824,x18822))
% 201.34/201.11 [1883]~E(x18831,x18832)+E(f874(x18831),f874(x18832))
% 201.34/201.11 [1884]~E(x18841,x18842)+E(f192(x18841,x18843,x18844),f192(x18842,x18843,x18844))
% 201.34/201.11 [1885]~E(x18851,x18852)+E(f192(x18853,x18851,x18854),f192(x18853,x18852,x18854))
% 201.34/201.11 [1886]~E(x18861,x18862)+E(f192(x18863,x18864,x18861),f192(x18863,x18864,x18862))
% 201.34/201.11 [1887]~E(x18871,x18872)+E(f267(x18871,x18873,x18874,x18875),f267(x18872,x18873,x18874,x18875))
% 201.34/201.11 [1888]~E(x18881,x18882)+E(f267(x18883,x18881,x18884,x18885),f267(x18883,x18882,x18884,x18885))
% 201.34/201.11 [1889]~E(x18891,x18892)+E(f267(x18893,x18894,x18891,x18895),f267(x18893,x18894,x18892,x18895))
% 201.34/201.11 [1890]~E(x18901,x18902)+E(f267(x18903,x18904,x18905,x18901),f267(x18903,x18904,x18905,x18902))
% 201.34/201.11 [1891]~E(x18911,x18912)+E(f35(x18911),f35(x18912))
% 201.34/201.11 [1892]~E(x18921,x18922)+E(f558(x18921),f558(x18922))
% 201.34/201.11 [1893]~E(x18931,x18932)+E(f864(x18931,x18933),f864(x18932,x18933))
% 201.34/201.11 [1894]~E(x18941,x18942)+E(f864(x18943,x18941),f864(x18943,x18942))
% 201.34/201.11 [1895]~E(x18951,x18952)+E(f467(x18951,x18953,x18954,x18955,x18956),f467(x18952,x18953,x18954,x18955,x18956))
% 201.34/201.11 [1896]~E(x18961,x18962)+E(f467(x18963,x18961,x18964,x18965,x18966),f467(x18963,x18962,x18964,x18965,x18966))
% 201.34/201.11 [1897]~E(x18971,x18972)+E(f467(x18973,x18974,x18971,x18975,x18976),f467(x18973,x18974,x18972,x18975,x18976))
% 201.34/201.11 [1898]~E(x18981,x18982)+E(f467(x18983,x18984,x18985,x18981,x18986),f467(x18983,x18984,x18985,x18982,x18986))
% 201.34/201.11 [1899]~E(x18991,x18992)+E(f467(x18993,x18994,x18995,x18996,x18991),f467(x18993,x18994,x18995,x18996,x18992))
% 201.34/201.11 [1900]~E(x19001,x19002)+E(f190(x19001),f190(x19002))
% 201.34/201.11 [1901]~E(x19011,x19012)+E(f888(x19011,x19013),f888(x19012,x19013))
% 201.34/201.11 [1902]~E(x19021,x19022)+E(f888(x19023,x19021),f888(x19023,x19022))
% 201.34/201.11 [1903]~E(x19031,x19032)+E(f199(x19031,x19033,x19034,x19035),f199(x19032,x19033,x19034,x19035))
% 201.34/201.11 [1904]~E(x19041,x19042)+E(f199(x19043,x19041,x19044,x19045),f199(x19043,x19042,x19044,x19045))
% 201.34/201.11 [1905]~E(x19051,x19052)+E(f199(x19053,x19054,x19051,x19055),f199(x19053,x19054,x19052,x19055))
% 201.34/201.11 [1906]~E(x19061,x19062)+E(f199(x19063,x19064,x19065,x19061),f199(x19063,x19064,x19065,x19062))
% 201.34/201.11 [1907]~E(x19071,x19072)+E(f365(x19071,x19073,x19074),f365(x19072,x19073,x19074))
% 201.34/201.11 [1908]~E(x19081,x19082)+E(f365(x19083,x19081,x19084),f365(x19083,x19082,x19084))
% 201.34/201.11 [1909]~E(x19091,x19092)+E(f365(x19093,x19094,x19091),f365(x19093,x19094,x19092))
% 201.34/201.11 [1910]~E(x19101,x19102)+E(f191(x19101,x19103),f191(x19102,x19103))
% 201.34/201.11 [1911]~E(x19111,x19112)+E(f191(x19113,x19111),f191(x19113,x19112))
% 201.34/201.11 [1912]~E(x19121,x19122)+E(f441(x19121,x19123,x19124,x19125),f441(x19122,x19123,x19124,x19125))
% 201.34/201.11 [1913]~E(x19131,x19132)+E(f441(x19133,x19131,x19134,x19135),f441(x19133,x19132,x19134,x19135))
% 201.34/201.11 [1914]~E(x19141,x19142)+E(f441(x19143,x19144,x19141,x19145),f441(x19143,x19144,x19142,x19145))
% 201.34/201.11 [1915]~E(x19151,x19152)+E(f441(x19153,x19154,x19155,x19151),f441(x19153,x19154,x19155,x19152))
% 201.34/201.11 [1916]~E(x19161,x19162)+E(f822(x19161,x19163,x19164,x19165),f822(x19162,x19163,x19164,x19165))
% 201.34/201.11 [1917]~E(x19171,x19172)+E(f822(x19173,x19171,x19174,x19175),f822(x19173,x19172,x19174,x19175))
% 201.34/201.11 [1918]~E(x19181,x19182)+E(f822(x19183,x19184,x19181,x19185),f822(x19183,x19184,x19182,x19185))
% 201.34/201.11 [1919]~E(x19191,x19192)+E(f822(x19193,x19194,x19195,x19191),f822(x19193,x19194,x19195,x19192))
% 201.34/201.11 [1920]~E(x19201,x19202)+E(f550(x19201,x19203,x19204),f550(x19202,x19203,x19204))
% 201.34/201.11 [1921]~E(x19211,x19212)+E(f550(x19213,x19211,x19214),f550(x19213,x19212,x19214))
% 201.34/201.11 [1922]~E(x19221,x19222)+E(f550(x19223,x19224,x19221),f550(x19223,x19224,x19222))
% 201.34/201.11 [1923]~E(x19231,x19232)+E(f522(x19231,x19233,x19234,x19235,x19236,x19237),f522(x19232,x19233,x19234,x19235,x19236,x19237))
% 201.34/201.11 [1924]~E(x19241,x19242)+E(f522(x19243,x19241,x19244,x19245,x19246,x19247),f522(x19243,x19242,x19244,x19245,x19246,x19247))
% 201.34/201.11 [1925]~E(x19251,x19252)+E(f522(x19253,x19254,x19251,x19255,x19256,x19257),f522(x19253,x19254,x19252,x19255,x19256,x19257))
% 201.34/201.11 [1926]~E(x19261,x19262)+E(f522(x19263,x19264,x19265,x19261,x19266,x19267),f522(x19263,x19264,x19265,x19262,x19266,x19267))
% 201.34/201.11 [1927]~E(x19271,x19272)+E(f522(x19273,x19274,x19275,x19276,x19271,x19277),f522(x19273,x19274,x19275,x19276,x19272,x19277))
% 201.34/201.11 [1928]~E(x19281,x19282)+E(f522(x19283,x19284,x19285,x19286,x19287,x19281),f522(x19283,x19284,x19285,x19286,x19287,x19282))
% 201.34/201.11 [1929]~E(x19291,x19292)+E(f235(x19291,x19293,x19294),f235(x19292,x19293,x19294))
% 201.34/201.11 [1930]~E(x19301,x19302)+E(f235(x19303,x19301,x19304),f235(x19303,x19302,x19304))
% 201.34/201.11 [1931]~E(x19311,x19312)+E(f235(x19313,x19314,x19311),f235(x19313,x19314,x19312))
% 201.34/201.11 [1932]~E(x19321,x19322)+E(f879(x19321,x19323,x19324,x19325),f879(x19322,x19323,x19324,x19325))
% 201.34/201.11 [1933]~E(x19331,x19332)+E(f879(x19333,x19331,x19334,x19335),f879(x19333,x19332,x19334,x19335))
% 201.34/201.11 [1934]~E(x19341,x19342)+E(f879(x19343,x19344,x19341,x19345),f879(x19343,x19344,x19342,x19345))
% 201.34/201.11 [1935]~E(x19351,x19352)+E(f879(x19353,x19354,x19355,x19351),f879(x19353,x19354,x19355,x19352))
% 201.34/201.11 [1936]~E(x19361,x19362)+E(f781(x19361,x19363),f781(x19362,x19363))
% 201.34/201.11 [1937]~E(x19371,x19372)+E(f781(x19373,x19371),f781(x19373,x19372))
% 201.34/201.11 [1938]~E(x19381,x19382)+E(f218(x19381,x19383,x19384,x19385),f218(x19382,x19383,x19384,x19385))
% 201.34/201.11 [1939]~E(x19391,x19392)+E(f218(x19393,x19391,x19394,x19395),f218(x19393,x19392,x19394,x19395))
% 201.34/201.11 [1940]~E(x19401,x19402)+E(f218(x19403,x19404,x19401,x19405),f218(x19403,x19404,x19402,x19405))
% 201.34/201.11 [1941]~E(x19411,x19412)+E(f218(x19413,x19414,x19415,x19411),f218(x19413,x19414,x19415,x19412))
% 201.34/201.11 [1942]~E(x19421,x19422)+E(f704(x19421,x19423),f704(x19422,x19423))
% 201.34/201.11 [1943]~E(x19431,x19432)+E(f704(x19433,x19431),f704(x19433,x19432))
% 201.34/201.11 [1944]~E(x19441,x19442)+E(f652(x19441,x19443),f652(x19442,x19443))
% 201.34/201.11 [1945]~E(x19451,x19452)+E(f652(x19453,x19451),f652(x19453,x19452))
% 201.34/201.11 [1946]~E(x19461,x19462)+E(f705(x19461,x19463),f705(x19462,x19463))
% 201.34/201.11 [1947]~E(x19471,x19472)+E(f705(x19473,x19471),f705(x19473,x19472))
% 201.34/201.11 [1948]~E(x19481,x19482)+E(f790(x19481,x19483,x19484,x19485,x19486,x19487),f790(x19482,x19483,x19484,x19485,x19486,x19487))
% 201.34/201.11 [1949]~E(x19491,x19492)+E(f790(x19493,x19491,x19494,x19495,x19496,x19497),f790(x19493,x19492,x19494,x19495,x19496,x19497))
% 201.34/201.11 [1950]~E(x19501,x19502)+E(f790(x19503,x19504,x19501,x19505,x19506,x19507),f790(x19503,x19504,x19502,x19505,x19506,x19507))
% 201.34/201.11 [1951]~E(x19511,x19512)+E(f790(x19513,x19514,x19515,x19511,x19516,x19517),f790(x19513,x19514,x19515,x19512,x19516,x19517))
% 201.34/201.11 [1952]~E(x19521,x19522)+E(f790(x19523,x19524,x19525,x19526,x19521,x19527),f790(x19523,x19524,x19525,x19526,x19522,x19527))
% 201.34/201.11 [1953]~E(x19531,x19532)+E(f790(x19533,x19534,x19535,x19536,x19537,x19531),f790(x19533,x19534,x19535,x19536,x19537,x19532))
% 201.34/201.11 [1954]~E(x19541,x19542)+E(f685(x19541,x19543),f685(x19542,x19543))
% 201.34/201.11 [1955]~E(x19551,x19552)+E(f685(x19553,x19551),f685(x19553,x19552))
% 201.34/201.11 [1956]~E(x19561,x19562)+E(f545(x19561,x19563,x19564),f545(x19562,x19563,x19564))
% 201.34/201.11 [1957]~E(x19571,x19572)+E(f545(x19573,x19571,x19574),f545(x19573,x19572,x19574))
% 201.34/201.11 [1958]~E(x19581,x19582)+E(f545(x19583,x19584,x19581),f545(x19583,x19584,x19582))
% 201.34/201.11 [1959]~E(x19591,x19592)+E(f455(x19591,x19593),f455(x19592,x19593))
% 201.34/201.11 [1960]~E(x19601,x19602)+E(f455(x19603,x19601),f455(x19603,x19602))
% 201.34/201.11 [1961]~E(x19611,x19612)+E(f706(x19611,x19613,x19614,x19615),f706(x19612,x19613,x19614,x19615))
% 201.34/201.11 [1962]~E(x19621,x19622)+E(f706(x19623,x19621,x19624,x19625),f706(x19623,x19622,x19624,x19625))
% 201.34/201.11 [1963]~E(x19631,x19632)+E(f706(x19633,x19634,x19631,x19635),f706(x19633,x19634,x19632,x19635))
% 201.34/201.11 [1964]~E(x19641,x19642)+E(f706(x19643,x19644,x19645,x19641),f706(x19643,x19644,x19645,x19642))
% 201.34/201.11 [1965]~E(x19651,x19652)+E(f824(x19651,x19653,x19654,x19655,x19656,x19657,x19658,x19659),f824(x19652,x19653,x19654,x19655,x19656,x19657,x19658,x19659))
% 201.34/201.11 [1966]~E(x19661,x19662)+E(f824(x19663,x19661,x19664,x19665,x19666,x19667,x19668,x19669),f824(x19663,x19662,x19664,x19665,x19666,x19667,x19668,x19669))
% 201.34/201.11 [1967]~E(x19671,x19672)+E(f824(x19673,x19674,x19671,x19675,x19676,x19677,x19678,x19679),f824(x19673,x19674,x19672,x19675,x19676,x19677,x19678,x19679))
% 201.34/201.11 [1968]~E(x19681,x19682)+E(f824(x19683,x19684,x19685,x19681,x19686,x19687,x19688,x19689),f824(x19683,x19684,x19685,x19682,x19686,x19687,x19688,x19689))
% 201.34/201.11 [1969]~E(x19691,x19692)+E(f824(x19693,x19694,x19695,x19696,x19691,x19697,x19698,x19699),f824(x19693,x19694,x19695,x19696,x19692,x19697,x19698,x19699))
% 201.34/201.11 [1970]~E(x19701,x19702)+E(f824(x19703,x19704,x19705,x19706,x19707,x19701,x19708,x19709),f824(x19703,x19704,x19705,x19706,x19707,x19702,x19708,x19709))
% 201.34/201.11 [1971]~E(x19711,x19712)+E(f824(x19713,x19714,x19715,x19716,x19717,x19718,x19711,x19719),f824(x19713,x19714,x19715,x19716,x19717,x19718,x19712,x19719))
% 201.34/201.11 [1972]~E(x19721,x19722)+E(f824(x19723,x19724,x19725,x19726,x19727,x19728,x19729,x19721),f824(x19723,x19724,x19725,x19726,x19727,x19728,x19729,x19722))
% 201.34/201.11 [1973]~E(x19731,x19732)+E(f420(x19731,x19733,x19734,x19735),f420(x19732,x19733,x19734,x19735))
% 201.34/201.11 [1974]~E(x19741,x19742)+E(f420(x19743,x19741,x19744,x19745),f420(x19743,x19742,x19744,x19745))
% 201.34/201.11 [1975]~E(x19751,x19752)+E(f420(x19753,x19754,x19751,x19755),f420(x19753,x19754,x19752,x19755))
% 201.34/201.11 [1976]~E(x19761,x19762)+E(f420(x19763,x19764,x19765,x19761),f420(x19763,x19764,x19765,x19762))
% 201.34/201.11 [1977]~E(x19771,x19772)+E(f686(x19771,x19773),f686(x19772,x19773))
% 201.34/201.11 [1978]~E(x19781,x19782)+E(f686(x19783,x19781),f686(x19783,x19782))
% 201.34/201.11 [1979]~E(x19791,x19792)+E(f186(x19791,x19793,x19794,x19795),f186(x19792,x19793,x19794,x19795))
% 201.34/201.11 [1980]~E(x19801,x19802)+E(f186(x19803,x19801,x19804,x19805),f186(x19803,x19802,x19804,x19805))
% 201.34/201.11 [1981]~E(x19811,x19812)+E(f186(x19813,x19814,x19811,x19815),f186(x19813,x19814,x19812,x19815))
% 201.34/201.11 [1982]~E(x19821,x19822)+E(f186(x19823,x19824,x19825,x19821),f186(x19823,x19824,x19825,x19822))
% 201.34/201.11 [1983]~E(x19831,x19832)+E(f449(x19831,x19833,x19834,x19835,x19836),f449(x19832,x19833,x19834,x19835,x19836))
% 201.34/201.11 [1984]~E(x19841,x19842)+E(f449(x19843,x19841,x19844,x19845,x19846),f449(x19843,x19842,x19844,x19845,x19846))
% 201.34/201.11 [1985]~E(x19851,x19852)+E(f449(x19853,x19854,x19851,x19855,x19856),f449(x19853,x19854,x19852,x19855,x19856))
% 201.34/201.11 [1986]~E(x19861,x19862)+E(f449(x19863,x19864,x19865,x19861,x19866),f449(x19863,x19864,x19865,x19862,x19866))
% 201.34/201.11 [1987]~E(x19871,x19872)+E(f449(x19873,x19874,x19875,x19876,x19871),f449(x19873,x19874,x19875,x19876,x19872))
% 201.34/201.11 [1988]~E(x19881,x19882)+E(f501(x19881,x19883,x19884,x19885),f501(x19882,x19883,x19884,x19885))
% 201.34/201.11 [1989]~E(x19891,x19892)+E(f501(x19893,x19891,x19894,x19895),f501(x19893,x19892,x19894,x19895))
% 201.34/201.11 [1990]~E(x19901,x19902)+E(f501(x19903,x19904,x19901,x19905),f501(x19903,x19904,x19902,x19905))
% 201.34/201.11 [1991]~E(x19911,x19912)+E(f501(x19913,x19914,x19915,x19911),f501(x19913,x19914,x19915,x19912))
% 201.34/201.11 [1992]~E(x19921,x19922)+E(f392(x19921,x19923,x19924,x19925),f392(x19922,x19923,x19924,x19925))
% 201.34/201.11 [1993]~E(x19931,x19932)+E(f392(x19933,x19931,x19934,x19935),f392(x19933,x19932,x19934,x19935))
% 201.34/201.11 [1994]~E(x19941,x19942)+E(f392(x19943,x19944,x19941,x19945),f392(x19943,x19944,x19942,x19945))
% 201.34/201.11 [1995]~E(x19951,x19952)+E(f392(x19953,x19954,x19955,x19951),f392(x19953,x19954,x19955,x19952))
% 201.34/201.11 [1996]~E(x19961,x19962)+E(f751(x19961,x19963,x19964,x19965,x19966),f751(x19962,x19963,x19964,x19965,x19966))
% 201.34/201.11 [1997]~E(x19971,x19972)+E(f751(x19973,x19971,x19974,x19975,x19976),f751(x19973,x19972,x19974,x19975,x19976))
% 201.34/201.11 [1998]~E(x19981,x19982)+E(f751(x19983,x19984,x19981,x19985,x19986),f751(x19983,x19984,x19982,x19985,x19986))
% 201.34/201.11 [1999]~E(x19991,x19992)+E(f751(x19993,x19994,x19995,x19991,x19996),f751(x19993,x19994,x19995,x19992,x19996))
% 201.34/201.11 [2000]~E(x20001,x20002)+E(f751(x20003,x20004,x20005,x20006,x20001),f751(x20003,x20004,x20005,x20006,x20002))
% 201.34/201.11 [2001]~E(x20011,x20012)+E(f566(x20011,x20013,x20014,x20015,x20016,x20017),f566(x20012,x20013,x20014,x20015,x20016,x20017))
% 201.34/201.11 [2002]~E(x20021,x20022)+E(f566(x20023,x20021,x20024,x20025,x20026,x20027),f566(x20023,x20022,x20024,x20025,x20026,x20027))
% 201.34/201.11 [2003]~E(x20031,x20032)+E(f566(x20033,x20034,x20031,x20035,x20036,x20037),f566(x20033,x20034,x20032,x20035,x20036,x20037))
% 201.34/201.11 [2004]~E(x20041,x20042)+E(f566(x20043,x20044,x20045,x20041,x20046,x20047),f566(x20043,x20044,x20045,x20042,x20046,x20047))
% 201.34/201.11 [2005]~E(x20051,x20052)+E(f566(x20053,x20054,x20055,x20056,x20051,x20057),f566(x20053,x20054,x20055,x20056,x20052,x20057))
% 201.34/201.11 [2006]~E(x20061,x20062)+E(f566(x20063,x20064,x20065,x20066,x20067,x20061),f566(x20063,x20064,x20065,x20066,x20067,x20062))
% 201.34/201.11 [2007]~E(x20071,x20072)+E(f889(x20071,x20073),f889(x20072,x20073))
% 201.34/201.11 [2008]~E(x20081,x20082)+E(f889(x20083,x20081),f889(x20083,x20082))
% 201.34/201.11 [2009]~E(x20091,x20092)+E(f852(x20091,x20093,x20094),f852(x20092,x20093,x20094))
% 201.34/201.11 [2010]~E(x20101,x20102)+E(f852(x20103,x20101,x20104),f852(x20103,x20102,x20104))
% 201.34/201.11 [2011]~E(x20111,x20112)+E(f852(x20113,x20114,x20111),f852(x20113,x20114,x20112))
% 201.34/201.11 [2012]~E(x20121,x20122)+E(f503(x20121,x20123,x20124),f503(x20122,x20123,x20124))
% 201.34/201.11 [2013]~E(x20131,x20132)+E(f503(x20133,x20131,x20134),f503(x20133,x20132,x20134))
% 201.34/201.11 [2014]~E(x20141,x20142)+E(f503(x20143,x20144,x20141),f503(x20143,x20144,x20142))
% 201.34/201.11 [2015]~E(x20151,x20152)+E(f479(x20151,x20153,x20154),f479(x20152,x20153,x20154))
% 201.34/201.11 [2016]~E(x20161,x20162)+E(f479(x20163,x20161,x20164),f479(x20163,x20162,x20164))
% 201.34/201.11 [2017]~E(x20171,x20172)+E(f479(x20173,x20174,x20171),f479(x20173,x20174,x20172))
% 201.34/201.11 [2018]~E(x20181,x20182)+E(f471(x20181,x20183,x20184),f471(x20182,x20183,x20184))
% 201.34/201.11 [2019]~E(x20191,x20192)+E(f471(x20193,x20191,x20194),f471(x20193,x20192,x20194))
% 201.34/201.11 [2020]~E(x20201,x20202)+E(f471(x20203,x20204,x20201),f471(x20203,x20204,x20202))
% 201.34/201.11 [2021]~E(x20211,x20212)+E(f819(x20211,x20213,x20214,x20215,x20216,x20217,x20218,x20219),f819(x20212,x20213,x20214,x20215,x20216,x20217,x20218,x20219))
% 201.34/201.11 [2022]~E(x20221,x20222)+E(f819(x20223,x20221,x20224,x20225,x20226,x20227,x20228,x20229),f819(x20223,x20222,x20224,x20225,x20226,x20227,x20228,x20229))
% 201.34/201.11 [2023]~E(x20231,x20232)+E(f819(x20233,x20234,x20231,x20235,x20236,x20237,x20238,x20239),f819(x20233,x20234,x20232,x20235,x20236,x20237,x20238,x20239))
% 201.34/201.11 [2024]~E(x20241,x20242)+E(f819(x20243,x20244,x20245,x20241,x20246,x20247,x20248,x20249),f819(x20243,x20244,x20245,x20242,x20246,x20247,x20248,x20249))
% 201.34/201.11 [2025]~E(x20251,x20252)+E(f819(x20253,x20254,x20255,x20256,x20251,x20257,x20258,x20259),f819(x20253,x20254,x20255,x20256,x20252,x20257,x20258,x20259))
% 201.34/201.11 [2026]~E(x20261,x20262)+E(f819(x20263,x20264,x20265,x20266,x20267,x20261,x20268,x20269),f819(x20263,x20264,x20265,x20266,x20267,x20262,x20268,x20269))
% 201.34/201.11 [2027]~E(x20271,x20272)+E(f819(x20273,x20274,x20275,x20276,x20277,x20278,x20271,x20279),f819(x20273,x20274,x20275,x20276,x20277,x20278,x20272,x20279))
% 201.34/201.11 [2028]~E(x20281,x20282)+E(f819(x20283,x20284,x20285,x20286,x20287,x20288,x20289,x20281),f819(x20283,x20284,x20285,x20286,x20287,x20288,x20289,x20282))
% 201.34/201.11 [2029]~E(x20291,x20292)+E(f863(x20291,x20293,x20294,x20295,x20296),f863(x20292,x20293,x20294,x20295,x20296))
% 201.34/201.11 [2030]~E(x20301,x20302)+E(f863(x20303,x20301,x20304,x20305,x20306),f863(x20303,x20302,x20304,x20305,x20306))
% 201.34/201.11 [2031]~E(x20311,x20312)+E(f863(x20313,x20314,x20311,x20315,x20316),f863(x20313,x20314,x20312,x20315,x20316))
% 201.34/201.11 [2032]~E(x20321,x20322)+E(f863(x20323,x20324,x20325,x20321,x20326),f863(x20323,x20324,x20325,x20322,x20326))
% 201.34/201.11 [2033]~E(x20331,x20332)+E(f863(x20333,x20334,x20335,x20336,x20331),f863(x20333,x20334,x20335,x20336,x20332))
% 201.34/201.11 [2034]~E(x20341,x20342)+E(f881(x20341,x20343,x20344,x20345),f881(x20342,x20343,x20344,x20345))
% 201.34/201.11 [2035]~E(x20351,x20352)+E(f881(x20353,x20351,x20354,x20355),f881(x20353,x20352,x20354,x20355))
% 201.34/201.11 [2036]~E(x20361,x20362)+E(f881(x20363,x20364,x20361,x20365),f881(x20363,x20364,x20362,x20365))
% 201.34/201.11 [2037]~E(x20371,x20372)+E(f881(x20373,x20374,x20375,x20371),f881(x20373,x20374,x20375,x20372))
% 201.34/201.11 [2038]~E(x20381,x20382)+E(f347(x20381,x20383),f347(x20382,x20383))
% 201.34/201.11 [2039]~E(x20391,x20392)+E(f347(x20393,x20391),f347(x20393,x20392))
% 201.34/201.11 [2040]~E(x20401,x20402)+E(f684(x20401,x20403),f684(x20402,x20403))
% 201.34/201.11 [2041]~E(x20411,x20412)+E(f684(x20413,x20411),f684(x20413,x20412))
% 201.34/201.11 [2042]~E(x20421,x20422)+E(f578(x20421,x20423),f578(x20422,x20423))
% 201.34/201.11 [2043]~E(x20431,x20432)+E(f578(x20433,x20431),f578(x20433,x20432))
% 201.34/201.11 [2044]~E(x20441,x20442)+E(f836(x20441,x20443,x20444),f836(x20442,x20443,x20444))
% 201.34/201.11 [2045]~E(x20451,x20452)+E(f836(x20453,x20451,x20454),f836(x20453,x20452,x20454))
% 201.34/201.11 [2046]~E(x20461,x20462)+E(f836(x20463,x20464,x20461),f836(x20463,x20464,x20462))
% 201.34/201.11 [2047]~E(x20471,x20472)+E(f870(x20471,x20473,x20474,x20475,x20476),f870(x20472,x20473,x20474,x20475,x20476))
% 201.34/201.11 [2048]~E(x20481,x20482)+E(f870(x20483,x20481,x20484,x20485,x20486),f870(x20483,x20482,x20484,x20485,x20486))
% 201.34/201.11 [2049]~E(x20491,x20492)+E(f870(x20493,x20494,x20491,x20495,x20496),f870(x20493,x20494,x20492,x20495,x20496))
% 201.34/201.11 [2050]~E(x20501,x20502)+E(f870(x20503,x20504,x20505,x20501,x20506),f870(x20503,x20504,x20505,x20502,x20506))
% 201.34/201.11 [2051]~E(x20511,x20512)+E(f870(x20513,x20514,x20515,x20516,x20511),f870(x20513,x20514,x20515,x20516,x20512))
% 201.34/201.11 [2052]~E(x20521,x20522)+E(f233(x20521,x20523,x20524),f233(x20522,x20523,x20524))
% 201.34/201.11 [2053]~E(x20531,x20532)+E(f233(x20533,x20531,x20534),f233(x20533,x20532,x20534))
% 201.34/201.11 [2054]~E(x20541,x20542)+E(f233(x20543,x20544,x20541),f233(x20543,x20544,x20542))
% 201.34/201.11 [2055]~E(x20551,x20552)+E(f730(x20551,x20553,x20554,x20555),f730(x20552,x20553,x20554,x20555))
% 201.34/201.11 [2056]~E(x20561,x20562)+E(f730(x20563,x20561,x20564,x20565),f730(x20563,x20562,x20564,x20565))
% 201.34/201.11 [2057]~E(x20571,x20572)+E(f730(x20573,x20574,x20571,x20575),f730(x20573,x20574,x20572,x20575))
% 201.34/201.11 [2058]~E(x20581,x20582)+E(f730(x20583,x20584,x20585,x20581),f730(x20583,x20584,x20585,x20582))
% 201.34/201.11 [2059]~E(x20591,x20592)+E(f397(x20591,x20593,x20594,x20595),f397(x20592,x20593,x20594,x20595))
% 201.34/201.11 [2060]~E(x20601,x20602)+E(f397(x20603,x20601,x20604,x20605),f397(x20603,x20602,x20604,x20605))
% 201.34/201.11 [2061]~E(x20611,x20612)+E(f397(x20613,x20614,x20611,x20615),f397(x20613,x20614,x20612,x20615))
% 201.34/201.11 [2062]~E(x20621,x20622)+E(f397(x20623,x20624,x20625,x20621),f397(x20623,x20624,x20625,x20622))
% 201.34/201.11 [2063]~E(x20631,x20632)+E(f219(x20631,x20633,x20634),f219(x20632,x20633,x20634))
% 201.34/201.11 [2064]~E(x20641,x20642)+E(f219(x20643,x20641,x20644),f219(x20643,x20642,x20644))
% 201.34/201.11 [2065]~E(x20651,x20652)+E(f219(x20653,x20654,x20651),f219(x20653,x20654,x20652))
% 201.34/201.11 [2066]~E(x20661,x20662)+E(f877(x20661,x20663,x20664,x20665),f877(x20662,x20663,x20664,x20665))
% 201.34/201.11 [2067]~E(x20671,x20672)+E(f877(x20673,x20671,x20674,x20675),f877(x20673,x20672,x20674,x20675))
% 201.34/201.11 [2068]~E(x20681,x20682)+E(f877(x20683,x20684,x20681,x20685),f877(x20683,x20684,x20682,x20685))
% 201.34/201.11 [2069]~E(x20691,x20692)+E(f877(x20693,x20694,x20695,x20691),f877(x20693,x20694,x20695,x20692))
% 201.34/201.11 [2070]~E(x20701,x20702)+E(f556(x20701,x20703,x20704,x20705),f556(x20702,x20703,x20704,x20705))
% 201.34/201.11 [2071]~E(x20711,x20712)+E(f556(x20713,x20711,x20714,x20715),f556(x20713,x20712,x20714,x20715))
% 201.34/201.11 [2072]~E(x20721,x20722)+E(f556(x20723,x20724,x20721,x20725),f556(x20723,x20724,x20722,x20725))
% 201.34/201.11 [2073]~E(x20731,x20732)+E(f556(x20733,x20734,x20735,x20731),f556(x20733,x20734,x20735,x20732))
% 201.34/201.11 [2074]~E(x20741,x20742)+E(f253(x20741,x20743,x20744),f253(x20742,x20743,x20744))
% 201.34/201.11 [2075]~E(x20751,x20752)+E(f253(x20753,x20751,x20754),f253(x20753,x20752,x20754))
% 201.34/201.11 [2076]~E(x20761,x20762)+E(f253(x20763,x20764,x20761),f253(x20763,x20764,x20762))
% 201.34/201.11 [2077]~E(x20771,x20772)+E(f337(x20771,x20773,x20774),f337(x20772,x20773,x20774))
% 201.34/201.11 [2078]~E(x20781,x20782)+E(f337(x20783,x20781,x20784),f337(x20783,x20782,x20784))
% 201.34/201.11 [2079]~E(x20791,x20792)+E(f337(x20793,x20794,x20791),f337(x20793,x20794,x20792))
% 201.34/201.11 [2080]~E(x20801,x20802)+E(f687(x20801,x20803),f687(x20802,x20803))
% 201.34/201.11 [2081]~E(x20811,x20812)+E(f687(x20813,x20811),f687(x20813,x20812))
% 201.34/201.11 [2082]~E(x20821,x20822)+E(f257(x20821,x20823),f257(x20822,x20823))
% 201.34/201.11 [2083]~E(x20831,x20832)+E(f257(x20833,x20831),f257(x20833,x20832))
% 201.34/201.11 [2084]~E(x20841,x20842)+E(f720(x20841,x20843,x20844,x20845,x20846),f720(x20842,x20843,x20844,x20845,x20846))
% 201.34/201.11 [2085]~E(x20851,x20852)+E(f720(x20853,x20851,x20854,x20855,x20856),f720(x20853,x20852,x20854,x20855,x20856))
% 201.34/201.11 [2086]~E(x20861,x20862)+E(f720(x20863,x20864,x20861,x20865,x20866),f720(x20863,x20864,x20862,x20865,x20866))
% 201.34/201.11 [2087]~E(x20871,x20872)+E(f720(x20873,x20874,x20875,x20871,x20876),f720(x20873,x20874,x20875,x20872,x20876))
% 201.34/201.11 [2088]~E(x20881,x20882)+E(f720(x20883,x20884,x20885,x20886,x20881),f720(x20883,x20884,x20885,x20886,x20882))
% 201.34/201.11 [2089]~E(x20891,x20892)+E(f400(x20891,x20893),f400(x20892,x20893))
% 201.34/201.11 [2090]~E(x20901,x20902)+E(f400(x20903,x20901),f400(x20903,x20902))
% 201.34/201.11 [2091]~E(x20911,x20912)+E(f827(x20911,x20913,x20914,x20915,x20916,x20917,x20918,x20919),f827(x20912,x20913,x20914,x20915,x20916,x20917,x20918,x20919))
% 201.34/201.11 [2092]~E(x20921,x20922)+E(f827(x20923,x20921,x20924,x20925,x20926,x20927,x20928,x20929),f827(x20923,x20922,x20924,x20925,x20926,x20927,x20928,x20929))
% 201.34/201.11 [2093]~E(x20931,x20932)+E(f827(x20933,x20934,x20931,x20935,x20936,x20937,x20938,x20939),f827(x20933,x20934,x20932,x20935,x20936,x20937,x20938,x20939))
% 201.34/201.11 [2094]~E(x20941,x20942)+E(f827(x20943,x20944,x20945,x20941,x20946,x20947,x20948,x20949),f827(x20943,x20944,x20945,x20942,x20946,x20947,x20948,x20949))
% 201.34/201.11 [2095]~E(x20951,x20952)+E(f827(x20953,x20954,x20955,x20956,x20951,x20957,x20958,x20959),f827(x20953,x20954,x20955,x20956,x20952,x20957,x20958,x20959))
% 201.34/201.11 [2096]~E(x20961,x20962)+E(f827(x20963,x20964,x20965,x20966,x20967,x20961,x20968,x20969),f827(x20963,x20964,x20965,x20966,x20967,x20962,x20968,x20969))
% 201.34/201.11 [2097]~E(x20971,x20972)+E(f827(x20973,x20974,x20975,x20976,x20977,x20978,x20971,x20979),f827(x20973,x20974,x20975,x20976,x20977,x20978,x20972,x20979))
% 201.34/201.11 [2098]~E(x20981,x20982)+E(f827(x20983,x20984,x20985,x20986,x20987,x20988,x20989,x20981),f827(x20983,x20984,x20985,x20986,x20987,x20988,x20989,x20982))
% 201.34/201.11 [2099]~E(x20991,x20992)+E(f371(x20991,x20993,x20994),f371(x20992,x20993,x20994))
% 201.34/201.11 [2100]~E(x21001,x21002)+E(f371(x21003,x21001,x21004),f371(x21003,x21002,x21004))
% 201.34/201.11 [2101]~E(x21011,x21012)+E(f371(x21013,x21014,x21011),f371(x21013,x21014,x21012))
% 201.34/201.11 [2102]~E(x21021,x21022)+E(f562(x21021,x21023,x21024,x21025),f562(x21022,x21023,x21024,x21025))
% 201.34/201.11 [2103]~E(x21031,x21032)+E(f562(x21033,x21031,x21034,x21035),f562(x21033,x21032,x21034,x21035))
% 201.34/201.11 [2104]~E(x21041,x21042)+E(f562(x21043,x21044,x21041,x21045),f562(x21043,x21044,x21042,x21045))
% 201.34/201.11 [2105]~E(x21051,x21052)+E(f562(x21053,x21054,x21055,x21051),f562(x21053,x21054,x21055,x21052))
% 201.34/201.11 [2106]~E(x21061,x21062)+E(f650(x21061,x21063,x21064),f650(x21062,x21063,x21064))
% 201.34/201.11 [2107]~E(x21071,x21072)+E(f650(x21073,x21071,x21074),f650(x21073,x21072,x21074))
% 201.34/201.11 [2108]~E(x21081,x21082)+E(f650(x21083,x21084,x21081),f650(x21083,x21084,x21082))
% 201.34/201.11 [2109]~E(x21091,x21092)+E(f404(x21091,x21093,x21094,x21095),f404(x21092,x21093,x21094,x21095))
% 201.34/201.11 [2110]~E(x21101,x21102)+E(f404(x21103,x21101,x21104,x21105),f404(x21103,x21102,x21104,x21105))
% 201.34/201.11 [2111]~E(x21111,x21112)+E(f404(x21113,x21114,x21111,x21115),f404(x21113,x21114,x21112,x21115))
% 201.34/201.11 [2112]~E(x21121,x21122)+E(f404(x21123,x21124,x21125,x21121),f404(x21123,x21124,x21125,x21122))
% 201.34/201.11 [2113]~E(x21131,x21132)+E(f395(x21131,x21133,x21134),f395(x21132,x21133,x21134))
% 201.34/201.11 [2114]~E(x21141,x21142)+E(f395(x21143,x21141,x21144),f395(x21143,x21142,x21144))
% 201.34/201.11 [2115]~E(x21151,x21152)+E(f395(x21153,x21154,x21151),f395(x21153,x21154,x21152))
% 201.34/201.11 [2116]~E(x21161,x21162)+E(f376(x21161,x21163,x21164),f376(x21162,x21163,x21164))
% 201.34/201.11 [2117]~E(x21171,x21172)+E(f376(x21173,x21171,x21174),f376(x21173,x21172,x21174))
% 201.34/201.11 [2118]~E(x21181,x21182)+E(f376(x21183,x21184,x21181),f376(x21183,x21184,x21182))
% 201.34/201.11 [2119]~E(x21191,x21192)+E(f753(x21191,x21193,x21194,x21195),f753(x21192,x21193,x21194,x21195))
% 201.34/201.11 [2120]~E(x21201,x21202)+E(f753(x21203,x21201,x21204,x21205),f753(x21203,x21202,x21204,x21205))
% 201.34/201.11 [2121]~E(x21211,x21212)+E(f753(x21213,x21214,x21211,x21215),f753(x21213,x21214,x21212,x21215))
% 201.34/201.11 [2122]~E(x21221,x21222)+E(f753(x21223,x21224,x21225,x21221),f753(x21223,x21224,x21225,x21222))
% 201.34/201.11 [2123]~E(x21231,x21232)+E(f589(x21231,x21233,x21234),f589(x21232,x21233,x21234))
% 201.34/201.11 [2124]~E(x21241,x21242)+E(f589(x21243,x21241,x21244),f589(x21243,x21242,x21244))
% 201.34/201.11 [2125]~E(x21251,x21252)+E(f589(x21253,x21254,x21251),f589(x21253,x21254,x21252))
% 201.34/201.11 [2126]~E(x21261,x21262)+E(f332(x21261,x21263,x21264,x21265),f332(x21262,x21263,x21264,x21265))
% 201.34/201.11 [2127]~E(x21271,x21272)+E(f332(x21273,x21271,x21274,x21275),f332(x21273,x21272,x21274,x21275))
% 201.34/201.11 [2128]~E(x21281,x21282)+E(f332(x21283,x21284,x21281,x21285),f332(x21283,x21284,x21282,x21285))
% 201.34/201.11 [2129]~E(x21291,x21292)+E(f332(x21293,x21294,x21295,x21291),f332(x21293,x21294,x21295,x21292))
% 201.34/201.11 [2130]~E(x21301,x21302)+E(f861(x21301,x21303),f861(x21302,x21303))
% 201.34/201.11 [2131]~E(x21311,x21312)+E(f861(x21313,x21311),f861(x21313,x21312))
% 201.34/201.11 [2132]~E(x21321,x21322)+E(f856(x21321,x21323,x21324,x21325),f856(x21322,x21323,x21324,x21325))
% 201.34/201.11 [2133]~E(x21331,x21332)+E(f856(x21333,x21331,x21334,x21335),f856(x21333,x21332,x21334,x21335))
% 201.34/201.11 [2134]~E(x21341,x21342)+E(f856(x21343,x21344,x21341,x21345),f856(x21343,x21344,x21342,x21345))
% 201.34/201.11 [2135]~E(x21351,x21352)+E(f856(x21353,x21354,x21355,x21351),f856(x21353,x21354,x21355,x21352))
% 201.34/201.11 [2136]~E(x21361,x21362)+E(f772(x21361,x21363,x21364,x21365),f772(x21362,x21363,x21364,x21365))
% 201.34/201.11 [2137]~E(x21371,x21372)+E(f772(x21373,x21371,x21374,x21375),f772(x21373,x21372,x21374,x21375))
% 201.34/201.11 [2138]~E(x21381,x21382)+E(f772(x21383,x21384,x21381,x21385),f772(x21383,x21384,x21382,x21385))
% 201.34/201.11 [2139]~E(x21391,x21392)+E(f772(x21393,x21394,x21395,x21391),f772(x21393,x21394,x21395,x21392))
% 201.34/201.11 [2140]~E(x21401,x21402)+E(f700(x21401,x21403,x21404),f700(x21402,x21403,x21404))
% 201.34/201.11 [2141]~E(x21411,x21412)+E(f700(x21413,x21411,x21414),f700(x21413,x21412,x21414))
% 201.34/201.11 [2142]~E(x21421,x21422)+E(f700(x21423,x21424,x21421),f700(x21423,x21424,x21422))
% 201.34/201.11 [2143]~E(x21431,x21432)+E(f532(x21431,x21433),f532(x21432,x21433))
% 201.34/201.11 [2144]~E(x21441,x21442)+E(f532(x21443,x21441),f532(x21443,x21442))
% 201.34/201.11 [2145]~E(x21451,x21452)+E(f718(x21451,x21453,x21454,x21455),f718(x21452,x21453,x21454,x21455))
% 201.34/201.11 [2146]~E(x21461,x21462)+E(f718(x21463,x21461,x21464,x21465),f718(x21463,x21462,x21464,x21465))
% 201.34/201.11 [2147]~E(x21471,x21472)+E(f718(x21473,x21474,x21471,x21475),f718(x21473,x21474,x21472,x21475))
% 201.34/201.11 [2148]~E(x21481,x21482)+E(f718(x21483,x21484,x21485,x21481),f718(x21483,x21484,x21485,x21482))
% 201.34/201.11 [2149]~E(x21491,x21492)+E(f760(x21491,x21493,x21494),f760(x21492,x21493,x21494))
% 201.34/201.11 [2150]~E(x21501,x21502)+E(f760(x21503,x21501,x21504),f760(x21503,x21502,x21504))
% 201.34/201.11 [2151]~E(x21511,x21512)+E(f760(x21513,x21514,x21511),f760(x21513,x21514,x21512))
% 201.34/201.11 [2152]~E(x21521,x21522)+E(f478(x21521,x21523,x21524),f478(x21522,x21523,x21524))
% 201.34/201.11 [2153]~E(x21531,x21532)+E(f478(x21533,x21531,x21534),f478(x21533,x21532,x21534))
% 201.34/201.11 [2154]~E(x21541,x21542)+E(f478(x21543,x21544,x21541),f478(x21543,x21544,x21542))
% 201.34/201.11 [2155]~E(x21551,x21552)+E(f111(x21551,x21553,x21554,x21555),f111(x21552,x21553,x21554,x21555))
% 201.34/201.11 [2156]~E(x21561,x21562)+E(f111(x21563,x21561,x21564,x21565),f111(x21563,x21562,x21564,x21565))
% 201.34/201.11 [2157]~E(x21571,x21572)+E(f111(x21573,x21574,x21571,x21575),f111(x21573,x21574,x21572,x21575))
% 201.34/201.11 [2158]~E(x21581,x21582)+E(f111(x21583,x21584,x21585,x21581),f111(x21583,x21584,x21585,x21582))
% 201.34/201.11 [2159]~E(x21591,x21592)+E(f858(x21591,x21593,x21594,x21595,x21596),f858(x21592,x21593,x21594,x21595,x21596))
% 201.34/201.11 [2160]~E(x21601,x21602)+E(f858(x21603,x21601,x21604,x21605,x21606),f858(x21603,x21602,x21604,x21605,x21606))
% 201.34/201.11 [2161]~E(x21611,x21612)+E(f858(x21613,x21614,x21611,x21615,x21616),f858(x21613,x21614,x21612,x21615,x21616))
% 201.34/201.11 [2162]~E(x21621,x21622)+E(f858(x21623,x21624,x21625,x21621,x21626),f858(x21623,x21624,x21625,x21622,x21626))
% 201.34/201.11 [2163]~E(x21631,x21632)+E(f858(x21633,x21634,x21635,x21636,x21631),f858(x21633,x21634,x21635,x21636,x21632))
% 201.34/201.11 [2164]~E(x21641,x21642)+E(f612(x21641,x21643,x21644,x21645,x21646),f612(x21642,x21643,x21644,x21645,x21646))
% 201.34/201.11 [2165]~E(x21651,x21652)+E(f612(x21653,x21651,x21654,x21655,x21656),f612(x21653,x21652,x21654,x21655,x21656))
% 201.34/201.11 [2166]~E(x21661,x21662)+E(f612(x21663,x21664,x21661,x21665,x21666),f612(x21663,x21664,x21662,x21665,x21666))
% 201.34/201.11 [2167]~E(x21671,x21672)+E(f612(x21673,x21674,x21675,x21671,x21676),f612(x21673,x21674,x21675,x21672,x21676))
% 201.34/201.11 [2168]~E(x21681,x21682)+E(f612(x21683,x21684,x21685,x21686,x21681),f612(x21683,x21684,x21685,x21686,x21682))
% 201.34/201.11 [2169]~E(x21691,x21692)+E(f194(x21691,x21693,x21694,x21695),f194(x21692,x21693,x21694,x21695))
% 201.34/201.11 [2170]~E(x21701,x21702)+E(f194(x21703,x21701,x21704,x21705),f194(x21703,x21702,x21704,x21705))
% 201.34/201.11 [2171]~E(x21711,x21712)+E(f194(x21713,x21714,x21711,x21715),f194(x21713,x21714,x21712,x21715))
% 201.34/201.11 [2172]~E(x21721,x21722)+E(f194(x21723,x21724,x21725,x21721),f194(x21723,x21724,x21725,x21722))
% 201.34/201.11 [2173]~E(x21731,x21732)+E(f777(x21731,x21733),f777(x21732,x21733))
% 201.34/201.11 [2174]~E(x21741,x21742)+E(f777(x21743,x21741),f777(x21743,x21742))
% 201.34/201.11 [2175]~E(x21751,x21752)+E(f481(x21751,x21753,x21754,x21755,x21756),f481(x21752,x21753,x21754,x21755,x21756))
% 201.34/201.11 [2176]~E(x21761,x21762)+E(f481(x21763,x21761,x21764,x21765,x21766),f481(x21763,x21762,x21764,x21765,x21766))
% 201.34/201.11 [2177]~E(x21771,x21772)+E(f481(x21773,x21774,x21771,x21775,x21776),f481(x21773,x21774,x21772,x21775,x21776))
% 201.34/201.11 [2178]~E(x21781,x21782)+E(f481(x21783,x21784,x21785,x21781,x21786),f481(x21783,x21784,x21785,x21782,x21786))
% 201.34/201.11 [2179]~E(x21791,x21792)+E(f481(x21793,x21794,x21795,x21796,x21791),f481(x21793,x21794,x21795,x21796,x21792))
% 201.34/201.11 [2180]~E(x21801,x21802)+E(f331(x21801,x21803,x21804),f331(x21802,x21803,x21804))
% 201.34/201.11 [2181]~E(x21811,x21812)+E(f331(x21813,x21811,x21814),f331(x21813,x21812,x21814))
% 201.34/201.11 [2182]~E(x21821,x21822)+E(f331(x21823,x21824,x21821),f331(x21823,x21824,x21822))
% 201.34/201.11 [2183]~E(x21831,x21832)+E(f259(x21831,x21833,x21834,x21835),f259(x21832,x21833,x21834,x21835))
% 201.34/201.11 [2184]~E(x21841,x21842)+E(f259(x21843,x21841,x21844,x21845),f259(x21843,x21842,x21844,x21845))
% 201.34/201.11 [2185]~E(x21851,x21852)+E(f259(x21853,x21854,x21851,x21855),f259(x21853,x21854,x21852,x21855))
% 201.34/201.11 [2186]~E(x21861,x21862)+E(f259(x21863,x21864,x21865,x21861),f259(x21863,x21864,x21865,x21862))
% 201.34/201.11 [2187]~E(x21871,x21872)+E(f329(x21871),f329(x21872))
% 201.34/201.11 [2188]~E(x21881,x21882)+E(f362(x21881,x21883,x21884),f362(x21882,x21883,x21884))
% 201.34/201.11 [2189]~E(x21891,x21892)+E(f362(x21893,x21891,x21894),f362(x21893,x21892,x21894))
% 201.34/201.11 [2190]~E(x21901,x21902)+E(f362(x21903,x21904,x21901),f362(x21903,x21904,x21902))
% 201.34/201.11 [2191]~E(x21911,x21912)+E(f326(x21911),f326(x21912))
% 201.34/201.11 [2192]~E(x21921,x21922)+E(f830(x21921,x21923,x21924,x21925,x21926,x21927),f830(x21922,x21923,x21924,x21925,x21926,x21927))
% 201.34/201.11 [2193]~E(x21931,x21932)+E(f830(x21933,x21931,x21934,x21935,x21936,x21937),f830(x21933,x21932,x21934,x21935,x21936,x21937))
% 201.34/201.11 [2194]~E(x21941,x21942)+E(f830(x21943,x21944,x21941,x21945,x21946,x21947),f830(x21943,x21944,x21942,x21945,x21946,x21947))
% 201.34/201.11 [2195]~E(x21951,x21952)+E(f830(x21953,x21954,x21955,x21951,x21956,x21957),f830(x21953,x21954,x21955,x21952,x21956,x21957))
% 201.34/201.11 [2196]~E(x21961,x21962)+E(f830(x21963,x21964,x21965,x21966,x21961,x21967),f830(x21963,x21964,x21965,x21966,x21962,x21967))
% 201.34/201.11 [2197]~E(x21971,x21972)+E(f830(x21973,x21974,x21975,x21976,x21977,x21971),f830(x21973,x21974,x21975,x21976,x21977,x21972))
% 201.34/201.11 [2198]~E(x21981,x21982)+E(f417(x21981,x21983,x21984,x21985),f417(x21982,x21983,x21984,x21985))
% 201.34/201.11 [2199]~E(x21991,x21992)+E(f417(x21993,x21991,x21994,x21995),f417(x21993,x21992,x21994,x21995))
% 201.34/201.11 [2200]~E(x22001,x22002)+E(f417(x22003,x22004,x22001,x22005),f417(x22003,x22004,x22002,x22005))
% 201.34/201.11 [2201]~E(x22011,x22012)+E(f417(x22013,x22014,x22015,x22011),f417(x22013,x22014,x22015,x22012))
% 201.34/201.11 [2202]~E(x22021,x22022)+E(f197(x22021),f197(x22022))
% 201.34/201.11 [2203]~E(x22031,x22032)+E(f680(x22031,x22033),f680(x22032,x22033))
% 201.34/201.11 [2204]~E(x22041,x22042)+E(f680(x22043,x22041),f680(x22043,x22042))
% 201.34/201.11 [2205]~E(x22051,x22052)+E(f798(x22051,x22053,x22054),f798(x22052,x22053,x22054))
% 201.34/201.11 [2206]~E(x22061,x22062)+E(f798(x22063,x22061,x22064),f798(x22063,x22062,x22064))
% 201.34/201.11 [2207]~E(x22071,x22072)+E(f798(x22073,x22074,x22071),f798(x22073,x22074,x22072))
% 201.34/201.11 [2208]~E(x22081,x22082)+E(f464(x22081,x22083,x22084,x22085),f464(x22082,x22083,x22084,x22085))
% 201.34/201.11 [2209]~E(x22091,x22092)+E(f464(x22093,x22091,x22094,x22095),f464(x22093,x22092,x22094,x22095))
% 201.34/201.11 [2210]~E(x22101,x22102)+E(f464(x22103,x22104,x22101,x22105),f464(x22103,x22104,x22102,x22105))
% 201.34/201.11 [2211]~E(x22111,x22112)+E(f464(x22113,x22114,x22115,x22111),f464(x22113,x22114,x22115,x22112))
% 201.34/201.11 [2212]~E(x22121,x22122)+E(f838(x22121,x22123,x22124),f838(x22122,x22123,x22124))
% 201.34/201.11 [2213]~E(x22131,x22132)+E(f838(x22133,x22131,x22134),f838(x22133,x22132,x22134))
% 201.34/201.11 [2214]~E(x22141,x22142)+E(f838(x22143,x22144,x22141),f838(x22143,x22144,x22142))
% 201.34/201.11 [2215]~E(x22151,x22152)+E(f193(x22151),f193(x22152))
% 201.34/201.11 [2216]~E(x22161,x22162)+E(f814(x22161,x22163,x22164),f814(x22162,x22163,x22164))
% 201.34/201.11 [2217]~E(x22171,x22172)+E(f814(x22173,x22171,x22174),f814(x22173,x22172,x22174))
% 201.34/201.11 [2218]~E(x22181,x22182)+E(f814(x22183,x22184,x22181),f814(x22183,x22184,x22182))
% 201.34/201.11 [2219]~E(x22191,x22192)+E(f506(x22191,x22193,x22194,x22195),f506(x22192,x22193,x22194,x22195))
% 201.34/201.11 [2220]~E(x22201,x22202)+E(f506(x22203,x22201,x22204,x22205),f506(x22203,x22202,x22204,x22205))
% 201.34/201.11 [2221]~E(x22211,x22212)+E(f506(x22213,x22214,x22211,x22215),f506(x22213,x22214,x22212,x22215))
% 201.34/201.11 [2222]~E(x22221,x22222)+E(f506(x22223,x22224,x22225,x22221),f506(x22223,x22224,x22225,x22222))
% 201.34/201.11 [2223]~E(x22231,x22232)+E(f361(x22231,x22233,x22234),f361(x22232,x22233,x22234))
% 201.34/201.11 [2224]~E(x22241,x22242)+E(f361(x22243,x22241,x22244),f361(x22243,x22242,x22244))
% 201.34/201.11 [2225]~E(x22251,x22252)+E(f361(x22253,x22254,x22251),f361(x22253,x22254,x22252))
% 201.34/201.11 [2226]~E(x22261,x22262)+E(f871(x22261,x22263,x22264,x22265,x22266),f871(x22262,x22263,x22264,x22265,x22266))
% 201.34/201.11 [2227]~E(x22271,x22272)+E(f871(x22273,x22271,x22274,x22275,x22276),f871(x22273,x22272,x22274,x22275,x22276))
% 201.34/201.11 [2228]~E(x22281,x22282)+E(f871(x22283,x22284,x22281,x22285,x22286),f871(x22283,x22284,x22282,x22285,x22286))
% 201.34/201.11 [2229]~E(x22291,x22292)+E(f871(x22293,x22294,x22295,x22291,x22296),f871(x22293,x22294,x22295,x22292,x22296))
% 201.34/201.11 [2230]~E(x22301,x22302)+E(f871(x22303,x22304,x22305,x22306,x22301),f871(x22303,x22304,x22305,x22306,x22302))
% 201.34/201.11 [2231]~E(x22311,x22312)+E(f626(x22311,x22313),f626(x22312,x22313))
% 201.34/201.11 [2232]~E(x22321,x22322)+E(f626(x22323,x22321),f626(x22323,x22322))
% 201.34/201.11 [2233]~E(x22331,x22332)+E(f265(x22331,x22333,x22334,x22335),f265(x22332,x22333,x22334,x22335))
% 201.34/201.11 [2234]~E(x22341,x22342)+E(f265(x22343,x22341,x22344,x22345),f265(x22343,x22342,x22344,x22345))
% 201.34/201.11 [2235]~E(x22351,x22352)+E(f265(x22353,x22354,x22351,x22355),f265(x22353,x22354,x22352,x22355))
% 201.34/201.11 [2236]~E(x22361,x22362)+E(f265(x22363,x22364,x22365,x22361),f265(x22363,x22364,x22365,x22362))
% 201.34/201.11 [2237]~E(x22371,x22372)+E(f521(x22371,x22373,x22374,x22375,x22376,x22377),f521(x22372,x22373,x22374,x22375,x22376,x22377))
% 201.34/201.11 [2238]~E(x22381,x22382)+E(f521(x22383,x22381,x22384,x22385,x22386,x22387),f521(x22383,x22382,x22384,x22385,x22386,x22387))
% 201.34/201.11 [2239]~E(x22391,x22392)+E(f521(x22393,x22394,x22391,x22395,x22396,x22397),f521(x22393,x22394,x22392,x22395,x22396,x22397))
% 201.34/201.11 [2240]~E(x22401,x22402)+E(f521(x22403,x22404,x22405,x22401,x22406,x22407),f521(x22403,x22404,x22405,x22402,x22406,x22407))
% 201.34/201.11 [2241]~E(x22411,x22412)+E(f521(x22413,x22414,x22415,x22416,x22411,x22417),f521(x22413,x22414,x22415,x22416,x22412,x22417))
% 201.34/201.11 [2242]~E(x22421,x22422)+E(f521(x22423,x22424,x22425,x22426,x22427,x22421),f521(x22423,x22424,x22425,x22426,x22427,x22422))
% 201.34/201.11 [2243]~E(x22431,x22432)+E(f280(x22431,x22433),f280(x22432,x22433))
% 201.34/201.11 [2244]~E(x22441,x22442)+E(f280(x22443,x22441),f280(x22443,x22442))
% 201.34/201.11 [2245]~E(x22451,x22452)+E(f663(x22451,x22453,x22454,x22455),f663(x22452,x22453,x22454,x22455))
% 201.34/201.11 [2246]~E(x22461,x22462)+E(f663(x22463,x22461,x22464,x22465),f663(x22463,x22462,x22464,x22465))
% 201.34/201.11 [2247]~E(x22471,x22472)+E(f663(x22473,x22474,x22471,x22475),f663(x22473,x22474,x22472,x22475))
% 201.34/201.11 [2248]~E(x22481,x22482)+E(f663(x22483,x22484,x22485,x22481),f663(x22483,x22484,x22485,x22482))
% 201.34/201.11 [2249]~E(x22491,x22492)+E(f831(x22491,x22493,x22494,x22495,x22496,x22497),f831(x22492,x22493,x22494,x22495,x22496,x22497))
% 201.34/201.11 [2250]~E(x22501,x22502)+E(f831(x22503,x22501,x22504,x22505,x22506,x22507),f831(x22503,x22502,x22504,x22505,x22506,x22507))
% 201.34/201.11 [2251]~E(x22511,x22512)+E(f831(x22513,x22514,x22511,x22515,x22516,x22517),f831(x22513,x22514,x22512,x22515,x22516,x22517))
% 201.34/201.11 [2252]~E(x22521,x22522)+E(f831(x22523,x22524,x22525,x22521,x22526,x22527),f831(x22523,x22524,x22525,x22522,x22526,x22527))
% 201.34/201.11 [2253]~E(x22531,x22532)+E(f831(x22533,x22534,x22535,x22536,x22531,x22537),f831(x22533,x22534,x22535,x22536,x22532,x22537))
% 201.34/201.11 [2254]~E(x22541,x22542)+E(f831(x22543,x22544,x22545,x22546,x22547,x22541),f831(x22543,x22544,x22545,x22546,x22547,x22542))
% 201.34/201.11 [2255]~E(x22551,x22552)+E(f459(x22551,x22553,x22554,x22555),f459(x22552,x22553,x22554,x22555))
% 201.34/201.11 [2256]~E(x22561,x22562)+E(f459(x22563,x22561,x22564,x22565),f459(x22563,x22562,x22564,x22565))
% 201.34/201.11 [2257]~E(x22571,x22572)+E(f459(x22573,x22574,x22571,x22575),f459(x22573,x22574,x22572,x22575))
% 201.34/201.11 [2258]~E(x22581,x22582)+E(f459(x22583,x22584,x22585,x22581),f459(x22583,x22584,x22585,x22582))
% 201.34/201.11 [2259]~E(x22591,x22592)+E(f262(x22591,x22593,x22594),f262(x22592,x22593,x22594))
% 201.34/201.11 [2260]~E(x22601,x22602)+E(f262(x22603,x22601,x22604),f262(x22603,x22602,x22604))
% 201.34/201.11 [2261]~E(x22611,x22612)+E(f262(x22613,x22614,x22611),f262(x22613,x22614,x22612))
% 201.34/201.11 [2262]~E(x22621,x22622)+E(f808(x22621,x22623,x22624,x22625),f808(x22622,x22623,x22624,x22625))
% 201.34/201.11 [2263]~E(x22631,x22632)+E(f808(x22633,x22631,x22634,x22635),f808(x22633,x22632,x22634,x22635))
% 201.34/201.11 [2264]~E(x22641,x22642)+E(f808(x22643,x22644,x22641,x22645),f808(x22643,x22644,x22642,x22645))
% 201.34/201.11 [2265]~E(x22651,x22652)+E(f808(x22653,x22654,x22655,x22651),f808(x22653,x22654,x22655,x22652))
% 201.34/201.11 [2266]~E(x22661,x22662)+E(f734(x22661,x22663,x22664),f734(x22662,x22663,x22664))
% 201.34/201.11 [2267]~E(x22671,x22672)+E(f734(x22673,x22671,x22674),f734(x22673,x22672,x22674))
% 201.34/201.11 [2268]~E(x22681,x22682)+E(f734(x22683,x22684,x22681),f734(x22683,x22684,x22682))
% 201.34/201.11 [2269]~E(x22691,x22692)+E(f651(x22691,x22693,x22694),f651(x22692,x22693,x22694))
% 201.34/201.11 [2270]~E(x22701,x22702)+E(f651(x22703,x22701,x22704),f651(x22703,x22702,x22704))
% 201.34/201.11 [2271]~E(x22711,x22712)+E(f651(x22713,x22714,x22711),f651(x22713,x22714,x22712))
% 201.34/201.11 [2272]~E(x22721,x22722)+E(f567(x22721,x22723,x22724,x22725,x22726,x22727),f567(x22722,x22723,x22724,x22725,x22726,x22727))
% 201.34/201.11 [2273]~E(x22731,x22732)+E(f567(x22733,x22731,x22734,x22735,x22736,x22737),f567(x22733,x22732,x22734,x22735,x22736,x22737))
% 201.34/201.11 [2274]~E(x22741,x22742)+E(f567(x22743,x22744,x22741,x22745,x22746,x22747),f567(x22743,x22744,x22742,x22745,x22746,x22747))
% 201.34/201.11 [2275]~E(x22751,x22752)+E(f567(x22753,x22754,x22755,x22751,x22756,x22757),f567(x22753,x22754,x22755,x22752,x22756,x22757))
% 201.34/201.11 [2276]~E(x22761,x22762)+E(f567(x22763,x22764,x22765,x22766,x22761,x22767),f567(x22763,x22764,x22765,x22766,x22762,x22767))
% 201.34/201.11 [2277]~E(x22771,x22772)+E(f567(x22773,x22774,x22775,x22776,x22777,x22771),f567(x22773,x22774,x22775,x22776,x22777,x22772))
% 201.34/201.11 [2278]~E(x22781,x22782)+E(f425(x22781,x22783,x22784),f425(x22782,x22783,x22784))
% 201.34/201.11 [2279]~E(x22791,x22792)+E(f425(x22793,x22791,x22794),f425(x22793,x22792,x22794))
% 201.34/201.11 [2280]~E(x22801,x22802)+E(f425(x22803,x22804,x22801),f425(x22803,x22804,x22802))
% 201.34/201.11 [2281]~E(x22811,x22812)+E(f797(x22811,x22813,x22814,x22815),f797(x22812,x22813,x22814,x22815))
% 201.34/201.11 [2282]~E(x22821,x22822)+E(f797(x22823,x22821,x22824,x22825),f797(x22823,x22822,x22824,x22825))
% 201.34/201.11 [2283]~E(x22831,x22832)+E(f797(x22833,x22834,x22831,x22835),f797(x22833,x22834,x22832,x22835))
% 201.34/201.11 [2284]~E(x22841,x22842)+E(f797(x22843,x22844,x22845,x22841),f797(x22843,x22844,x22845,x22842))
% 201.34/201.11 [2285]~E(x22851,x22852)+E(f645(x22851,x22853,x22854,x22855),f645(x22852,x22853,x22854,x22855))
% 201.34/201.11 [2286]~E(x22861,x22862)+E(f645(x22863,x22861,x22864,x22865),f645(x22863,x22862,x22864,x22865))
% 201.34/201.11 [2287]~E(x22871,x22872)+E(f645(x22873,x22874,x22871,x22875),f645(x22873,x22874,x22872,x22875))
% 201.34/201.11 [2288]~E(x22881,x22882)+E(f645(x22883,x22884,x22885,x22881),f645(x22883,x22884,x22885,x22882))
% 201.34/201.11 [2289]~E(x22891,x22892)+E(f398(x22891,x22893,x22894,x22895,x22896,x22897),f398(x22892,x22893,x22894,x22895,x22896,x22897))
% 201.34/201.11 [2290]~E(x22901,x22902)+E(f398(x22903,x22901,x22904,x22905,x22906,x22907),f398(x22903,x22902,x22904,x22905,x22906,x22907))
% 201.34/201.11 [2291]~E(x22911,x22912)+E(f398(x22913,x22914,x22911,x22915,x22916,x22917),f398(x22913,x22914,x22912,x22915,x22916,x22917))
% 201.34/201.11 [2292]~E(x22921,x22922)+E(f398(x22923,x22924,x22925,x22921,x22926,x22927),f398(x22923,x22924,x22925,x22922,x22926,x22927))
% 201.34/201.11 [2293]~E(x22931,x22932)+E(f398(x22933,x22934,x22935,x22936,x22931,x22937),f398(x22933,x22934,x22935,x22936,x22932,x22937))
% 201.34/201.11 [2294]~E(x22941,x22942)+E(f398(x22943,x22944,x22945,x22946,x22947,x22941),f398(x22943,x22944,x22945,x22946,x22947,x22942))
% 201.34/201.11 [2295]~E(x22951,x22952)+E(f806(x22951,x22953,x22954),f806(x22952,x22953,x22954))
% 201.34/201.11 [2296]~E(x22961,x22962)+E(f806(x22963,x22961,x22964),f806(x22963,x22962,x22964))
% 201.34/201.11 [2297]~E(x22971,x22972)+E(f806(x22973,x22974,x22971),f806(x22973,x22974,x22972))
% 201.34/201.11 [2298]~E(x22981,x22982)+E(f488(x22981,x22983,x22984,x22985,x22986),f488(x22982,x22983,x22984,x22985,x22986))
% 201.34/201.11 [2299]~E(x22991,x22992)+E(f488(x22993,x22991,x22994,x22995,x22996),f488(x22993,x22992,x22994,x22995,x22996))
% 201.34/201.11 [2300]~E(x23001,x23002)+E(f488(x23003,x23004,x23001,x23005,x23006),f488(x23003,x23004,x23002,x23005,x23006))
% 201.34/201.11 [2301]~E(x23011,x23012)+E(f488(x23013,x23014,x23015,x23011,x23016),f488(x23013,x23014,x23015,x23012,x23016))
% 201.34/201.11 [2302]~E(x23021,x23022)+E(f488(x23023,x23024,x23025,x23026,x23021),f488(x23023,x23024,x23025,x23026,x23022))
% 201.34/201.11 [2303]~E(x23031,x23032)+E(f818(x23031,x23033,x23034,x23035,x23036,x23037,x23038,x23039),f818(x23032,x23033,x23034,x23035,x23036,x23037,x23038,x23039))
% 201.34/201.11 [2304]~E(x23041,x23042)+E(f818(x23043,x23041,x23044,x23045,x23046,x23047,x23048,x23049),f818(x23043,x23042,x23044,x23045,x23046,x23047,x23048,x23049))
% 201.34/201.11 [2305]~E(x23051,x23052)+E(f818(x23053,x23054,x23051,x23055,x23056,x23057,x23058,x23059),f818(x23053,x23054,x23052,x23055,x23056,x23057,x23058,x23059))
% 201.34/201.11 [2306]~E(x23061,x23062)+E(f818(x23063,x23064,x23065,x23061,x23066,x23067,x23068,x23069),f818(x23063,x23064,x23065,x23062,x23066,x23067,x23068,x23069))
% 201.34/201.11 [2307]~E(x23071,x23072)+E(f818(x23073,x23074,x23075,x23076,x23071,x23077,x23078,x23079),f818(x23073,x23074,x23075,x23076,x23072,x23077,x23078,x23079))
% 201.34/201.11 [2308]~E(x23081,x23082)+E(f818(x23083,x23084,x23085,x23086,x23087,x23081,x23088,x23089),f818(x23083,x23084,x23085,x23086,x23087,x23082,x23088,x23089))
% 201.34/201.11 [2309]~E(x23091,x23092)+E(f818(x23093,x23094,x23095,x23096,x23097,x23098,x23091,x23099),f818(x23093,x23094,x23095,x23096,x23097,x23098,x23092,x23099))
% 201.34/201.11 [2310]~E(x23101,x23102)+E(f818(x23103,x23104,x23105,x23106,x23107,x23108,x23109,x23101),f818(x23103,x23104,x23105,x23106,x23107,x23108,x23109,x23102))
% 201.34/201.11 [2311]~E(x23111,x23112)+E(f517(x23111,x23113,x23114,x23115),f517(x23112,x23113,x23114,x23115))
% 201.34/201.11 [2312]~E(x23121,x23122)+E(f517(x23123,x23121,x23124,x23125),f517(x23123,x23122,x23124,x23125))
% 201.34/201.11 [2313]~E(x23131,x23132)+E(f517(x23133,x23134,x23131,x23135),f517(x23133,x23134,x23132,x23135))
% 201.34/201.11 [2314]~E(x23141,x23142)+E(f517(x23143,x23144,x23145,x23141),f517(x23143,x23144,x23145,x23142))
% 201.34/201.11 [2315]~E(x23151,x23152)+E(f821(x23151,x23153,x23154),f821(x23152,x23153,x23154))
% 201.34/201.11 [2316]~E(x23161,x23162)+E(f821(x23163,x23161,x23164),f821(x23163,x23162,x23164))
% 201.34/201.11 [2317]~E(x23171,x23172)+E(f821(x23173,x23174,x23171),f821(x23173,x23174,x23172))
% 201.34/201.11 [2318]~E(x23181,x23182)+E(f729(x23181,x23183,x23184),f729(x23182,x23183,x23184))
% 201.34/201.11 [2319]~E(x23191,x23192)+E(f729(x23193,x23191,x23194),f729(x23193,x23192,x23194))
% 201.34/201.11 [2320]~E(x23201,x23202)+E(f729(x23203,x23204,x23201),f729(x23203,x23204,x23202))
% 201.34/201.11 [2321]~E(x23211,x23212)+E(f724(x23211,x23213,x23214,x23215,x23216,x23217,x23218),f724(x23212,x23213,x23214,x23215,x23216,x23217,x23218))
% 201.34/201.11 [2322]~E(x23221,x23222)+E(f724(x23223,x23221,x23224,x23225,x23226,x23227,x23228),f724(x23223,x23222,x23224,x23225,x23226,x23227,x23228))
% 201.34/201.11 [2323]~E(x23231,x23232)+E(f724(x23233,x23234,x23231,x23235,x23236,x23237,x23238),f724(x23233,x23234,x23232,x23235,x23236,x23237,x23238))
% 201.34/201.11 [2324]~E(x23241,x23242)+E(f724(x23243,x23244,x23245,x23241,x23246,x23247,x23248),f724(x23243,x23244,x23245,x23242,x23246,x23247,x23248))
% 201.34/201.11 [2325]~E(x23251,x23252)+E(f724(x23253,x23254,x23255,x23256,x23251,x23257,x23258),f724(x23253,x23254,x23255,x23256,x23252,x23257,x23258))
% 201.34/201.11 [2326]~E(x23261,x23262)+E(f724(x23263,x23264,x23265,x23266,x23267,x23261,x23268),f724(x23263,x23264,x23265,x23266,x23267,x23262,x23268))
% 201.34/201.11 [2327]~E(x23271,x23272)+E(f724(x23273,x23274,x23275,x23276,x23277,x23278,x23271),f724(x23273,x23274,x23275,x23276,x23277,x23278,x23272))
% 201.34/201.11 [2328]~E(x23281,x23282)+E(f67(x23281,x23283),f67(x23282,x23283))
% 201.34/201.11 [2329]~E(x23291,x23292)+E(f67(x23293,x23291),f67(x23293,x23292))
% 201.34/201.11 [2330]~E(x23301,x23302)+E(f807(x23301,x23303,x23304),f807(x23302,x23303,x23304))
% 201.34/201.12 [2331]~E(x23311,x23312)+E(f807(x23313,x23311,x23314),f807(x23313,x23312,x23314))
% 201.34/201.12 [2332]~E(x23321,x23322)+E(f807(x23323,x23324,x23321),f807(x23323,x23324,x23322))
% 201.34/201.12 [2333]~E(x23331,x23332)+E(f886(x23331,x23333),f886(x23332,x23333))
% 201.34/201.12 [2334]~E(x23341,x23342)+E(f886(x23343,x23341),f886(x23343,x23342))
% 201.34/201.12 [2335]~E(x23351,x23352)+E(f116(x23351,x23353,x23354,x23355,x23356),f116(x23352,x23353,x23354,x23355,x23356))
% 201.34/201.12 [2336]~E(x23361,x23362)+E(f116(x23363,x23361,x23364,x23365,x23366),f116(x23363,x23362,x23364,x23365,x23366))
% 201.34/201.12 [2337]~E(x23371,x23372)+E(f116(x23373,x23374,x23371,x23375,x23376),f116(x23373,x23374,x23372,x23375,x23376))
% 201.34/201.12 [2338]~E(x23381,x23382)+E(f116(x23383,x23384,x23385,x23381,x23386),f116(x23383,x23384,x23385,x23382,x23386))
% 201.34/201.12 [2339]~E(x23391,x23392)+E(f116(x23393,x23394,x23395,x23396,x23391),f116(x23393,x23394,x23395,x23396,x23392))
% 201.34/201.12 [2340]~E(x23401,x23402)+E(f539(x23401,x23403,x23404,x23405),f539(x23402,x23403,x23404,x23405))
% 201.34/201.12 [2341]~E(x23411,x23412)+E(f539(x23413,x23411,x23414,x23415),f539(x23413,x23412,x23414,x23415))
% 201.34/201.12 [2342]~E(x23421,x23422)+E(f539(x23423,x23424,x23421,x23425),f539(x23423,x23424,x23422,x23425))
% 201.34/201.12 [2343]~E(x23431,x23432)+E(f539(x23433,x23434,x23435,x23431),f539(x23433,x23434,x23435,x23432))
% 201.34/201.12 [2344]~E(x23441,x23442)+E(f512(x23441,x23443,x23444,x23445,x23446),f512(x23442,x23443,x23444,x23445,x23446))
% 201.34/201.12 [2345]~E(x23451,x23452)+E(f512(x23453,x23451,x23454,x23455,x23456),f512(x23453,x23452,x23454,x23455,x23456))
% 201.34/201.12 [2346]~E(x23461,x23462)+E(f512(x23463,x23464,x23461,x23465,x23466),f512(x23463,x23464,x23462,x23465,x23466))
% 201.34/201.12 [2347]~E(x23471,x23472)+E(f512(x23473,x23474,x23475,x23471,x23476),f512(x23473,x23474,x23475,x23472,x23476))
% 201.34/201.12 [2348]~E(x23481,x23482)+E(f512(x23483,x23484,x23485,x23486,x23481),f512(x23483,x23484,x23485,x23486,x23482))
% 201.34/201.12 [2349]~E(x23491,x23492)+E(f107(x23491,x23493,x23494),f107(x23492,x23493,x23494))
% 201.34/201.12 [2350]~E(x23501,x23502)+E(f107(x23503,x23501,x23504),f107(x23503,x23502,x23504))
% 201.34/201.12 [2351]~E(x23511,x23512)+E(f107(x23513,x23514,x23511),f107(x23513,x23514,x23512))
% 201.34/201.12 [2352]~E(x23521,x23522)+E(f338(x23521,x23523,x23524),f338(x23522,x23523,x23524))
% 201.34/201.12 [2353]~E(x23531,x23532)+E(f338(x23533,x23531,x23534),f338(x23533,x23532,x23534))
% 201.34/201.12 [2354]~E(x23541,x23542)+E(f338(x23543,x23544,x23541),f338(x23543,x23544,x23542))
% 201.34/201.12 [2355]~E(x23551,x23552)+E(f422(x23551,x23553,x23554),f422(x23552,x23553,x23554))
% 201.34/201.12 [2356]~E(x23561,x23562)+E(f422(x23563,x23561,x23564),f422(x23563,x23562,x23564))
% 201.34/201.12 [2357]~E(x23571,x23572)+E(f422(x23573,x23574,x23571),f422(x23573,x23574,x23572))
% 201.34/201.12 [2358]~E(x23581,x23582)+E(f106(x23581,x23583,x23584),f106(x23582,x23583,x23584))
% 201.34/201.12 [2359]~E(x23591,x23592)+E(f106(x23593,x23591,x23594),f106(x23593,x23592,x23594))
% 201.34/201.12 [2360]~E(x23601,x23602)+E(f106(x23603,x23604,x23601),f106(x23603,x23604,x23602))
% 201.34/201.12 [2361]~E(x23611,x23612)+E(f396(x23611,x23613,x23614,x23615,x23616),f396(x23612,x23613,x23614,x23615,x23616))
% 201.34/201.12 [2362]~E(x23621,x23622)+E(f396(x23623,x23621,x23624,x23625,x23626),f396(x23623,x23622,x23624,x23625,x23626))
% 201.34/201.12 [2363]~E(x23631,x23632)+E(f396(x23633,x23634,x23631,x23635,x23636),f396(x23633,x23634,x23632,x23635,x23636))
% 201.34/201.12 [2364]~E(x23641,x23642)+E(f396(x23643,x23644,x23645,x23641,x23646),f396(x23643,x23644,x23645,x23642,x23646))
% 201.34/201.12 [2365]~E(x23651,x23652)+E(f396(x23653,x23654,x23655,x23656,x23651),f396(x23653,x23654,x23655,x23656,x23652))
% 201.34/201.12 [2366]~E(x23661,x23662)+E(f226(x23661,x23663),f226(x23662,x23663))
% 201.34/201.12 [2367]~E(x23671,x23672)+E(f226(x23673,x23671),f226(x23673,x23672))
% 201.34/201.12 [2368]~E(x23681,x23682)+E(f364(x23681,x23683,x23684),f364(x23682,x23683,x23684))
% 201.34/201.12 [2369]~E(x23691,x23692)+E(f364(x23693,x23691,x23694),f364(x23693,x23692,x23694))
% 201.34/201.12 [2370]~E(x23701,x23702)+E(f364(x23703,x23704,x23701),f364(x23703,x23704,x23702))
% 201.34/201.12 [2371]~E(x23711,x23712)+E(f461(x23711,x23713,x23714,x23715,x23716),f461(x23712,x23713,x23714,x23715,x23716))
% 201.34/201.12 [2372]~E(x23721,x23722)+E(f461(x23723,x23721,x23724,x23725,x23726),f461(x23723,x23722,x23724,x23725,x23726))
% 201.34/201.12 [2373]~E(x23731,x23732)+E(f461(x23733,x23734,x23731,x23735,x23736),f461(x23733,x23734,x23732,x23735,x23736))
% 201.34/201.12 [2374]~E(x23741,x23742)+E(f461(x23743,x23744,x23745,x23741,x23746),f461(x23743,x23744,x23745,x23742,x23746))
% 201.34/201.12 [2375]~E(x23751,x23752)+E(f461(x23753,x23754,x23755,x23756,x23751),f461(x23753,x23754,x23755,x23756,x23752))
% 201.34/201.12 [2376]~E(x23761,x23762)+E(f865(x23761,x23763,x23764),f865(x23762,x23763,x23764))
% 201.34/201.12 [2377]~E(x23771,x23772)+E(f865(x23773,x23771,x23774),f865(x23773,x23772,x23774))
% 201.34/201.12 [2378]~E(x23781,x23782)+E(f865(x23783,x23784,x23781),f865(x23783,x23784,x23782))
% 201.34/201.12 [2379]~E(x23791,x23792)+E(f500(x23791,x23793,x23794,x23795,x23796),f500(x23792,x23793,x23794,x23795,x23796))
% 201.34/201.12 [2380]~E(x23801,x23802)+E(f500(x23803,x23801,x23804,x23805,x23806),f500(x23803,x23802,x23804,x23805,x23806))
% 201.34/201.12 [2381]~E(x23811,x23812)+E(f500(x23813,x23814,x23811,x23815,x23816),f500(x23813,x23814,x23812,x23815,x23816))
% 201.34/201.12 [2382]~E(x23821,x23822)+E(f500(x23823,x23824,x23825,x23821,x23826),f500(x23823,x23824,x23825,x23822,x23826))
% 201.34/201.12 [2383]~E(x23831,x23832)+E(f500(x23833,x23834,x23835,x23836,x23831),f500(x23833,x23834,x23835,x23836,x23832))
% 201.34/201.12 [2384]~E(x23841,x23842)+E(f555(x23841,x23843,x23844),f555(x23842,x23843,x23844))
% 201.34/201.12 [2385]~E(x23851,x23852)+E(f555(x23853,x23851,x23854),f555(x23853,x23852,x23854))
% 201.34/201.12 [2386]~E(x23861,x23862)+E(f555(x23863,x23864,x23861),f555(x23863,x23864,x23862))
% 201.34/201.12 [2387]~E(x23871,x23872)+E(f195(x23871,x23873,x23874,x23875),f195(x23872,x23873,x23874,x23875))
% 201.34/201.12 [2388]~E(x23881,x23882)+E(f195(x23883,x23881,x23884,x23885),f195(x23883,x23882,x23884,x23885))
% 201.34/201.12 [2389]~E(x23891,x23892)+E(f195(x23893,x23894,x23891,x23895),f195(x23893,x23894,x23892,x23895))
% 201.34/201.12 [2390]~E(x23901,x23902)+E(f195(x23903,x23904,x23905,x23901),f195(x23903,x23904,x23905,x23902))
% 201.34/201.12 [2391]~E(x23911,x23912)+E(f789(x23911,x23913,x23914,x23915,x23916),f789(x23912,x23913,x23914,x23915,x23916))
% 201.34/201.12 [2392]~E(x23921,x23922)+E(f789(x23923,x23921,x23924,x23925,x23926),f789(x23923,x23922,x23924,x23925,x23926))
% 201.34/201.12 [2393]~E(x23931,x23932)+E(f789(x23933,x23934,x23931,x23935,x23936),f789(x23933,x23934,x23932,x23935,x23936))
% 201.34/201.12 [2394]~E(x23941,x23942)+E(f789(x23943,x23944,x23945,x23941,x23946),f789(x23943,x23944,x23945,x23942,x23946))
% 201.34/201.12 [2395]~E(x23951,x23952)+E(f789(x23953,x23954,x23955,x23956,x23951),f789(x23953,x23954,x23955,x23956,x23952))
% 201.34/201.12 [2396]~E(x23961,x23962)+E(f535(x23961,x23963,x23964,x23965),f535(x23962,x23963,x23964,x23965))
% 201.34/201.12 [2397]~E(x23971,x23972)+E(f535(x23973,x23971,x23974,x23975),f535(x23973,x23972,x23974,x23975))
% 201.34/201.12 [2398]~E(x23981,x23982)+E(f535(x23983,x23984,x23981,x23985),f535(x23983,x23984,x23982,x23985))
% 201.34/201.12 [2399]~E(x23991,x23992)+E(f535(x23993,x23994,x23995,x23991),f535(x23993,x23994,x23995,x23992))
% 201.34/201.12 [2400]~E(x24001,x24002)+E(f324(x24001,x24003),f324(x24002,x24003))
% 201.34/201.12 [2401]~E(x24011,x24012)+E(f324(x24013,x24011),f324(x24013,x24012))
% 201.34/201.12 [2402]~E(x24021,x24022)+E(f853(x24021,x24023,x24024),f853(x24022,x24023,x24024))
% 201.34/201.12 [2403]~E(x24031,x24032)+E(f853(x24033,x24031,x24034),f853(x24033,x24032,x24034))
% 201.34/201.12 [2404]~E(x24041,x24042)+E(f853(x24043,x24044,x24041),f853(x24043,x24044,x24042))
% 201.34/201.12 [2405]~E(x24051,x24052)+E(f846(x24051,x24053,x24054,x24055),f846(x24052,x24053,x24054,x24055))
% 201.34/201.12 [2406]~E(x24061,x24062)+E(f846(x24063,x24061,x24064,x24065),f846(x24063,x24062,x24064,x24065))
% 201.34/201.12 [2407]~E(x24071,x24072)+E(f846(x24073,x24074,x24071,x24075),f846(x24073,x24074,x24072,x24075))
% 201.34/201.12 [2408]~E(x24081,x24082)+E(f846(x24083,x24084,x24085,x24081),f846(x24083,x24084,x24085,x24082))
% 201.34/201.12 [2409]~E(x24091,x24092)+E(f636(x24091,x24093,x24094,x24095),f636(x24092,x24093,x24094,x24095))
% 201.34/201.12 [2410]~E(x24101,x24102)+E(f636(x24103,x24101,x24104,x24105),f636(x24103,x24102,x24104,x24105))
% 201.34/201.12 [2411]~E(x24111,x24112)+E(f636(x24113,x24114,x24111,x24115),f636(x24113,x24114,x24112,x24115))
% 201.34/201.12 [2412]~E(x24121,x24122)+E(f636(x24123,x24124,x24125,x24121),f636(x24123,x24124,x24125,x24122))
% 201.34/201.12 [2413]~E(x24131,x24132)+E(f743(x24131,x24133,x24134),f743(x24132,x24133,x24134))
% 201.34/201.12 [2414]~E(x24141,x24142)+E(f743(x24143,x24141,x24144),f743(x24143,x24142,x24144))
% 201.34/201.12 [2415]~E(x24151,x24152)+E(f743(x24153,x24154,x24151),f743(x24153,x24154,x24152))
% 201.34/201.12 [2416]~E(x24161,x24162)+E(f328(x24161,x24163),f328(x24162,x24163))
% 201.34/201.12 [2417]~E(x24171,x24172)+E(f328(x24173,x24171),f328(x24173,x24172))
% 201.34/201.12 [2418]~E(x24181,x24182)+E(f472(x24181,x24183,x24184),f472(x24182,x24183,x24184))
% 201.34/201.12 [2419]~E(x24191,x24192)+E(f472(x24193,x24191,x24194),f472(x24193,x24192,x24194))
% 201.34/201.12 [2420]~E(x24201,x24202)+E(f472(x24203,x24204,x24201),f472(x24203,x24204,x24202))
% 201.34/201.12 [2421]~E(x24211,x24212)+E(f696(x24211,x24213,x24214),f696(x24212,x24213,x24214))
% 201.34/201.12 [2422]~E(x24221,x24222)+E(f696(x24223,x24221,x24224),f696(x24223,x24222,x24224))
% 201.34/201.12 [2423]~E(x24231,x24232)+E(f696(x24233,x24234,x24231),f696(x24233,x24234,x24232))
% 201.34/201.12 [2424]~E(x24241,x24242)+E(f776(x24241,x24243),f776(x24242,x24243))
% 201.34/201.12 [2425]~E(x24251,x24252)+E(f776(x24253,x24251),f776(x24253,x24252))
% 201.34/201.12 [2426]~E(x24261,x24262)+E(f573(x24261,x24263),f573(x24262,x24263))
% 201.34/201.12 [2427]~E(x24271,x24272)+E(f573(x24273,x24271),f573(x24273,x24272))
% 201.34/201.12 [2428]~E(x24281,x24282)+E(f799(x24281,x24283,x24284),f799(x24282,x24283,x24284))
% 201.34/201.12 [2429]~E(x24291,x24292)+E(f799(x24293,x24291,x24294),f799(x24293,x24292,x24294))
% 201.34/201.12 [2430]~E(x24301,x24302)+E(f799(x24303,x24304,x24301),f799(x24303,x24304,x24302))
% 201.34/201.12 [2431]~E(x24311,x24312)+E(f609(x24311,x24313,x24314,x24315,x24316),f609(x24312,x24313,x24314,x24315,x24316))
% 201.34/201.12 [2432]~E(x24321,x24322)+E(f609(x24323,x24321,x24324,x24325,x24326),f609(x24323,x24322,x24324,x24325,x24326))
% 201.34/201.12 [2433]~E(x24331,x24332)+E(f609(x24333,x24334,x24331,x24335,x24336),f609(x24333,x24334,x24332,x24335,x24336))
% 201.34/201.12 [2434]~E(x24341,x24342)+E(f609(x24343,x24344,x24345,x24341,x24346),f609(x24343,x24344,x24345,x24342,x24346))
% 201.34/201.12 [2435]~E(x24351,x24352)+E(f609(x24353,x24354,x24355,x24356,x24351),f609(x24353,x24354,x24355,x24356,x24352))
% 201.34/201.12 [2436]~E(x24361,x24362)+E(f812(x24361,x24363,x24364,x24365,x24366),f812(x24362,x24363,x24364,x24365,x24366))
% 201.34/201.12 [2437]~E(x24371,x24372)+E(f812(x24373,x24371,x24374,x24375,x24376),f812(x24373,x24372,x24374,x24375,x24376))
% 201.34/201.12 [2438]~E(x24381,x24382)+E(f812(x24383,x24384,x24381,x24385,x24386),f812(x24383,x24384,x24382,x24385,x24386))
% 201.34/201.12 [2439]~E(x24391,x24392)+E(f812(x24393,x24394,x24395,x24391,x24396),f812(x24393,x24394,x24395,x24392,x24396))
% 201.34/201.12 [2440]~E(x24401,x24402)+E(f812(x24403,x24404,x24405,x24406,x24401),f812(x24403,x24404,x24405,x24406,x24402))
% 201.34/201.12 [2441]~E(x24411,x24412)+E(f695(x24411,x24413,x24414),f695(x24412,x24413,x24414))
% 201.34/201.12 [2442]~E(x24421,x24422)+E(f695(x24423,x24421,x24424),f695(x24423,x24422,x24424))
% 201.34/201.12 [2443]~E(x24431,x24432)+E(f695(x24433,x24434,x24431),f695(x24433,x24434,x24432))
% 201.34/201.12 [2444]~E(x24441,x24442)+E(f574(x24441,x24443),f574(x24442,x24443))
% 201.34/201.12 [2445]~E(x24451,x24452)+E(f574(x24453,x24451),f574(x24453,x24452))
% 201.34/201.12 [2446]~E(x24461,x24462)+E(f424(x24461,x24463,x24464,x24465),f424(x24462,x24463,x24464,x24465))
% 201.34/201.12 [2447]~E(x24471,x24472)+E(f424(x24473,x24471,x24474,x24475),f424(x24473,x24472,x24474,x24475))
% 201.34/201.12 [2448]~E(x24481,x24482)+E(f424(x24483,x24484,x24481,x24485),f424(x24483,x24484,x24482,x24485))
% 201.34/201.12 [2449]~E(x24491,x24492)+E(f424(x24493,x24494,x24495,x24491),f424(x24493,x24494,x24495,x24492))
% 201.34/201.12 [2450]~E(x24501,x24502)+E(f436(x24501,x24503),f436(x24502,x24503))
% 201.34/201.12 [2451]~E(x24511,x24512)+E(f436(x24513,x24511),f436(x24513,x24512))
% 201.34/201.12 [2452]~E(x24521,x24522)+E(f854(x24521,x24523,x24524),f854(x24522,x24523,x24524))
% 201.34/201.12 [2453]~E(x24531,x24532)+E(f854(x24533,x24531,x24534),f854(x24533,x24532,x24534))
% 201.34/201.12 [2454]~E(x24541,x24542)+E(f854(x24543,x24544,x24541),f854(x24543,x24544,x24542))
% 201.34/201.12 [2455]~E(x24551,x24552)+E(f391(x24551,x24553,x24554,x24555),f391(x24552,x24553,x24554,x24555))
% 201.34/201.12 [2456]~E(x24561,x24562)+E(f391(x24563,x24561,x24564,x24565),f391(x24563,x24562,x24564,x24565))
% 201.34/201.12 [2457]~E(x24571,x24572)+E(f391(x24573,x24574,x24571,x24575),f391(x24573,x24574,x24572,x24575))
% 201.34/201.12 [2458]~E(x24581,x24582)+E(f391(x24583,x24584,x24585,x24581),f391(x24583,x24584,x24585,x24582))
% 201.34/201.12 [2459]~E(x24591,x24592)+E(f403(x24591,x24593,x24594,x24595,x24596),f403(x24592,x24593,x24594,x24595,x24596))
% 201.34/201.12 [2460]~E(x24601,x24602)+E(f403(x24603,x24601,x24604,x24605,x24606),f403(x24603,x24602,x24604,x24605,x24606))
% 201.34/201.12 [2461]~E(x24611,x24612)+E(f403(x24613,x24614,x24611,x24615,x24616),f403(x24613,x24614,x24612,x24615,x24616))
% 201.34/201.12 [2462]~E(x24621,x24622)+E(f403(x24623,x24624,x24625,x24621,x24626),f403(x24623,x24624,x24625,x24622,x24626))
% 201.34/201.12 [2463]~E(x24631,x24632)+E(f403(x24633,x24634,x24635,x24636,x24631),f403(x24633,x24634,x24635,x24636,x24632))
% 201.34/201.12 [2464]~E(x24641,x24642)+E(f875(x24641,x24643,x24644),f875(x24642,x24643,x24644))
% 201.34/201.12 [2465]~E(x24651,x24652)+E(f875(x24653,x24651,x24654),f875(x24653,x24652,x24654))
% 201.34/201.12 [2466]~E(x24661,x24662)+E(f875(x24663,x24664,x24661),f875(x24663,x24664,x24662))
% 201.34/201.12 [2467]~E(x24671,x24672)+E(f505(x24671,x24673,x24674,x24675),f505(x24672,x24673,x24674,x24675))
% 201.34/201.12 [2468]~E(x24681,x24682)+E(f505(x24683,x24681,x24684,x24685),f505(x24683,x24682,x24684,x24685))
% 201.34/201.12 [2469]~E(x24691,x24692)+E(f505(x24693,x24694,x24691,x24695),f505(x24693,x24694,x24692,x24695))
% 201.34/201.12 [2470]~E(x24701,x24702)+E(f505(x24703,x24704,x24705,x24701),f505(x24703,x24704,x24705,x24702))
% 201.34/201.12 [2471]~E(x24711,x24712)+E(f748(x24711,x24713,x24714,x24715),f748(x24712,x24713,x24714,x24715))
% 201.34/201.12 [2472]~E(x24721,x24722)+E(f748(x24723,x24721,x24724,x24725),f748(x24723,x24722,x24724,x24725))
% 201.34/201.12 [2473]~E(x24731,x24732)+E(f748(x24733,x24734,x24731,x24735),f748(x24733,x24734,x24732,x24735))
% 201.34/201.12 [2474]~E(x24741,x24742)+E(f748(x24743,x24744,x24745,x24741),f748(x24743,x24744,x24745,x24742))
% 201.34/201.12 [2475]~E(x24751,x24752)+E(f483(x24751,x24753,x24754,x24755,x24756),f483(x24752,x24753,x24754,x24755,x24756))
% 201.34/201.12 [2476]~E(x24761,x24762)+E(f483(x24763,x24761,x24764,x24765,x24766),f483(x24763,x24762,x24764,x24765,x24766))
% 201.34/201.12 [2477]~E(x24771,x24772)+E(f483(x24773,x24774,x24771,x24775,x24776),f483(x24773,x24774,x24772,x24775,x24776))
% 201.34/201.12 [2478]~E(x24781,x24782)+E(f483(x24783,x24784,x24785,x24781,x24786),f483(x24783,x24784,x24785,x24782,x24786))
% 201.34/201.12 [2479]~E(x24791,x24792)+E(f483(x24793,x24794,x24795,x24796,x24791),f483(x24793,x24794,x24795,x24796,x24792))
% 201.34/201.12 [2480]~E(x24801,x24802)+E(f613(x24801,x24803,x24804,x24805,x24806),f613(x24802,x24803,x24804,x24805,x24806))
% 201.34/201.12 [2481]~E(x24811,x24812)+E(f613(x24813,x24811,x24814,x24815,x24816),f613(x24813,x24812,x24814,x24815,x24816))
% 201.34/201.12 [2482]~E(x24821,x24822)+E(f613(x24823,x24824,x24821,x24825,x24826),f613(x24823,x24824,x24822,x24825,x24826))
% 201.34/201.12 [2483]~E(x24831,x24832)+E(f613(x24833,x24834,x24835,x24831,x24836),f613(x24833,x24834,x24835,x24832,x24836))
% 201.34/201.12 [2484]~E(x24841,x24842)+E(f613(x24843,x24844,x24845,x24846,x24841),f613(x24843,x24844,x24845,x24846,x24842))
% 201.34/201.12 [2485]~E(x24851,x24852)+E(f359(x24851,x24853,x24854),f359(x24852,x24853,x24854))
% 201.34/201.12 [2486]~E(x24861,x24862)+E(f359(x24863,x24861,x24864),f359(x24863,x24862,x24864))
% 201.34/201.12 [2487]~E(x24871,x24872)+E(f359(x24873,x24874,x24871),f359(x24873,x24874,x24872))
% 201.34/201.12 [2488]~E(x24881,x24882)+E(f624(x24881,x24883,x24884,x24885,x24886,x24887),f624(x24882,x24883,x24884,x24885,x24886,x24887))
% 201.34/201.12 [2489]~E(x24891,x24892)+E(f624(x24893,x24891,x24894,x24895,x24896,x24897),f624(x24893,x24892,x24894,x24895,x24896,x24897))
% 201.34/201.12 [2490]~E(x24901,x24902)+E(f624(x24903,x24904,x24901,x24905,x24906,x24907),f624(x24903,x24904,x24902,x24905,x24906,x24907))
% 201.34/201.12 [2491]~E(x24911,x24912)+E(f624(x24913,x24914,x24915,x24911,x24916,x24917),f624(x24913,x24914,x24915,x24912,x24916,x24917))
% 201.34/201.12 [2492]~E(x24921,x24922)+E(f624(x24923,x24924,x24925,x24926,x24921,x24927),f624(x24923,x24924,x24925,x24926,x24922,x24927))
% 201.34/201.12 [2493]~E(x24931,x24932)+E(f624(x24933,x24934,x24935,x24936,x24937,x24931),f624(x24933,x24934,x24935,x24936,x24937,x24932))
% 201.34/201.12 [2494]~E(x24941,x24942)+E(f402(x24941,x24943,x24944,x24945,x24946),f402(x24942,x24943,x24944,x24945,x24946))
% 201.34/201.12 [2495]~E(x24951,x24952)+E(f402(x24953,x24951,x24954,x24955,x24956),f402(x24953,x24952,x24954,x24955,x24956))
% 201.34/201.12 [2496]~E(x24961,x24962)+E(f402(x24963,x24964,x24961,x24965,x24966),f402(x24963,x24964,x24962,x24965,x24966))
% 201.34/201.12 [2497]~E(x24971,x24972)+E(f402(x24973,x24974,x24975,x24971,x24976),f402(x24973,x24974,x24975,x24972,x24976))
% 201.34/201.12 [2498]~E(x24981,x24982)+E(f402(x24983,x24984,x24985,x24986,x24981),f402(x24983,x24984,x24985,x24986,x24982))
% 201.34/201.12 [2499]~E(x24991,x24992)+E(f203(x24991,x24993),f203(x24992,x24993))
% 201.34/201.12 [2500]~E(x25001,x25002)+E(f203(x25003,x25001),f203(x25003,x25002))
% 201.34/201.12 [2501]~E(x25011,x25012)+E(f515(x25011),f515(x25012))
% 201.34/201.12 [2502]~E(x25021,x25022)+E(f577(x25021,x25023),f577(x25022,x25023))
% 201.34/201.12 [2503]~E(x25031,x25032)+E(f577(x25033,x25031),f577(x25033,x25032))
% 201.34/201.12 [2504]~E(x25041,x25042)+E(f185(x25041,x25043,x25044,x25045),f185(x25042,x25043,x25044,x25045))
% 201.34/201.12 [2505]~E(x25051,x25052)+E(f185(x25053,x25051,x25054,x25055),f185(x25053,x25052,x25054,x25055))
% 201.34/201.12 [2506]~E(x25061,x25062)+E(f185(x25063,x25064,x25061,x25065),f185(x25063,x25064,x25062,x25065))
% 201.34/201.12 [2507]~E(x25071,x25072)+E(f185(x25073,x25074,x25075,x25071),f185(x25073,x25074,x25075,x25072))
% 201.34/201.12 [2508]~E(x25081,x25082)+E(f536(x25081,x25083,x25084,x25085,x25086,x25087),f536(x25082,x25083,x25084,x25085,x25086,x25087))
% 201.34/201.12 [2509]~E(x25091,x25092)+E(f536(x25093,x25091,x25094,x25095,x25096,x25097),f536(x25093,x25092,x25094,x25095,x25096,x25097))
% 201.34/201.12 [2510]~E(x25101,x25102)+E(f536(x25103,x25104,x25101,x25105,x25106,x25107),f536(x25103,x25104,x25102,x25105,x25106,x25107))
% 201.34/201.12 [2511]~E(x25111,x25112)+E(f536(x25113,x25114,x25115,x25111,x25116,x25117),f536(x25113,x25114,x25115,x25112,x25116,x25117))
% 201.34/201.12 [2512]~E(x25121,x25122)+E(f536(x25123,x25124,x25125,x25126,x25121,x25127),f536(x25123,x25124,x25125,x25126,x25122,x25127))
% 201.34/201.12 [2513]~E(x25131,x25132)+E(f536(x25133,x25134,x25135,x25136,x25137,x25131),f536(x25133,x25134,x25135,x25136,x25137,x25132))
% 201.34/201.12 [2514]~E(x25141,x25142)+E(f322(x25141,x25143),f322(x25142,x25143))
% 201.34/201.12 [2515]~E(x25151,x25152)+E(f322(x25153,x25151),f322(x25153,x25152))
% 201.34/201.12 [2516]~E(x25161,x25162)+E(f885(x25161,x25163,x25164),f885(x25162,x25163,x25164))
% 201.34/201.12 [2517]~E(x25171,x25172)+E(f885(x25173,x25171,x25174),f885(x25173,x25172,x25174))
% 201.34/201.12 [2518]~E(x25181,x25182)+E(f885(x25183,x25184,x25181),f885(x25183,x25184,x25182))
% 201.34/201.12 [2519]~E(x25191,x25192)+E(f189(x25191),f189(x25192))
% 201.34/201.12 [2520]~E(x25201,x25202)+E(f611(x25201,x25203,x25204,x25205,x25206),f611(x25202,x25203,x25204,x25205,x25206))
% 201.34/201.12 [2521]~E(x25211,x25212)+E(f611(x25213,x25211,x25214,x25215,x25216),f611(x25213,x25212,x25214,x25215,x25216))
% 201.34/201.12 [2522]~E(x25221,x25222)+E(f611(x25223,x25224,x25221,x25225,x25226),f611(x25223,x25224,x25222,x25225,x25226))
% 201.34/201.12 [2523]~E(x25231,x25232)+E(f611(x25233,x25234,x25235,x25231,x25236),f611(x25233,x25234,x25235,x25232,x25236))
% 201.34/201.12 [2524]~E(x25241,x25242)+E(f611(x25243,x25244,x25245,x25246,x25241),f611(x25243,x25244,x25245,x25246,x25242))
% 201.34/201.12 [2525]~E(x25251,x25252)+E(f653(x25251,x25253,x25254),f653(x25252,x25253,x25254))
% 201.34/201.12 [2526]~E(x25261,x25262)+E(f653(x25263,x25261,x25264),f653(x25263,x25262,x25264))
% 201.34/201.12 [2527]~E(x25271,x25272)+E(f653(x25273,x25274,x25271),f653(x25273,x25274,x25272))
% 201.34/201.12 [2528]~E(x25281,x25282)+E(f855(x25281,x25283,x25284,x25285,x25286),f855(x25282,x25283,x25284,x25285,x25286))
% 201.34/201.12 [2529]~E(x25291,x25292)+E(f855(x25293,x25291,x25294,x25295,x25296),f855(x25293,x25292,x25294,x25295,x25296))
% 201.34/201.12 [2530]~E(x25301,x25302)+E(f855(x25303,x25304,x25301,x25305,x25306),f855(x25303,x25304,x25302,x25305,x25306))
% 201.34/201.12 [2531]~E(x25311,x25312)+E(f855(x25313,x25314,x25315,x25311,x25316),f855(x25313,x25314,x25315,x25312,x25316))
% 201.34/201.12 [2532]~E(x25321,x25322)+E(f855(x25323,x25324,x25325,x25326,x25321),f855(x25323,x25324,x25325,x25326,x25322))
% 201.34/201.12 [2533]~E(x25331,x25332)+E(f662(x25331,x25333,x25334,x25335,x25336),f662(x25332,x25333,x25334,x25335,x25336))
% 201.34/201.12 [2534]~E(x25341,x25342)+E(f662(x25343,x25341,x25344,x25345,x25346),f662(x25343,x25342,x25344,x25345,x25346))
% 201.34/201.12 [2535]~E(x25351,x25352)+E(f662(x25353,x25354,x25351,x25355,x25356),f662(x25353,x25354,x25352,x25355,x25356))
% 201.34/201.12 [2536]~E(x25361,x25362)+E(f662(x25363,x25364,x25365,x25361,x25366),f662(x25363,x25364,x25365,x25362,x25366))
% 201.34/201.12 [2537]~E(x25371,x25372)+E(f662(x25373,x25374,x25375,x25376,x25371),f662(x25373,x25374,x25375,x25376,x25372))
% 201.34/201.12 [2538]~E(x25381,x25382)+E(f732(x25381,x25383,x25384),f732(x25382,x25383,x25384))
% 201.34/201.12 [2539]~E(x25391,x25392)+E(f732(x25393,x25391,x25394),f732(x25393,x25392,x25394))
% 201.34/201.12 [2540]~E(x25401,x25402)+E(f732(x25403,x25404,x25401),f732(x25403,x25404,x25402))
% 201.34/201.12 [2541]~E(x25411,x25412)+E(f463(x25411,x25413,x25414,x25415),f463(x25412,x25413,x25414,x25415))
% 201.34/201.12 [2542]~E(x25421,x25422)+E(f463(x25423,x25421,x25424,x25425),f463(x25423,x25422,x25424,x25425))
% 201.34/201.12 [2543]~E(x25431,x25432)+E(f463(x25433,x25434,x25431,x25435),f463(x25433,x25434,x25432,x25435))
% 201.34/201.12 [2544]~E(x25441,x25442)+E(f463(x25443,x25444,x25445,x25441),f463(x25443,x25444,x25445,x25442))
% 201.34/201.12 [2545]~E(x25451,x25452)+E(f458(x25451,x25453,x25454),f458(x25452,x25453,x25454))
% 201.34/201.12 [2546]~E(x25461,x25462)+E(f458(x25463,x25461,x25464),f458(x25463,x25462,x25464))
% 201.34/201.12 [2547]~E(x25471,x25472)+E(f458(x25473,x25474,x25471),f458(x25473,x25474,x25472))
% 201.34/201.12 [2548]~E(x25481,x25482)+E(f375(x25481,x25483,x25484),f375(x25482,x25483,x25484))
% 201.34/201.12 [2549]~E(x25491,x25492)+E(f375(x25493,x25491,x25494),f375(x25493,x25492,x25494))
% 201.34/201.12 [2550]~E(x25501,x25502)+E(f375(x25503,x25504,x25501),f375(x25503,x25504,x25502))
% 201.34/201.12 [2551]~E(x25511,x25512)+E(f796(x25511,x25513),f796(x25512,x25513))
% 201.34/201.12 [2552]~E(x25521,x25522)+E(f796(x25523,x25521),f796(x25523,x25522))
% 201.34/201.12 [2553]~E(x25531,x25532)+E(f529(x25531,x25533,x25534),f529(x25532,x25533,x25534))
% 201.34/201.12 [2554]~E(x25541,x25542)+E(f529(x25543,x25541,x25544),f529(x25543,x25542,x25544))
% 201.34/201.12 [2555]~E(x25551,x25552)+E(f529(x25553,x25554,x25551),f529(x25553,x25554,x25552))
% 201.34/201.12 [2556]~E(x25561,x25562)+E(f200(x25561,x25563,x25564,x25565,x25566,x25567,x25568),f200(x25562,x25563,x25564,x25565,x25566,x25567,x25568))
% 201.34/201.12 [2557]~E(x25571,x25572)+E(f200(x25573,x25571,x25574,x25575,x25576,x25577,x25578),f200(x25573,x25572,x25574,x25575,x25576,x25577,x25578))
% 201.34/201.12 [2558]~E(x25581,x25582)+E(f200(x25583,x25584,x25581,x25585,x25586,x25587,x25588),f200(x25583,x25584,x25582,x25585,x25586,x25587,x25588))
% 201.34/201.12 [2559]~E(x25591,x25592)+E(f200(x25593,x25594,x25595,x25591,x25596,x25597,x25598),f200(x25593,x25594,x25595,x25592,x25596,x25597,x25598))
% 201.34/201.12 [2560]~E(x25601,x25602)+E(f200(x25603,x25604,x25605,x25606,x25601,x25607,x25608),f200(x25603,x25604,x25605,x25606,x25602,x25607,x25608))
% 201.34/201.12 [2561]~E(x25611,x25612)+E(f200(x25613,x25614,x25615,x25616,x25617,x25611,x25618),f200(x25613,x25614,x25615,x25616,x25617,x25612,x25618))
% 201.34/201.12 [2562]~E(x25621,x25622)+E(f200(x25623,x25624,x25625,x25626,x25627,x25628,x25621),f200(x25623,x25624,x25625,x25626,x25627,x25628,x25622))
% 201.34/201.12 [2563]~E(x25631,x25632)+E(f551(x25631,x25633,x25634,x25635),f551(x25632,x25633,x25634,x25635))
% 201.34/201.12 [2564]~E(x25641,x25642)+E(f551(x25643,x25641,x25644,x25645),f551(x25643,x25642,x25644,x25645))
% 201.34/201.12 [2565]~E(x25651,x25652)+E(f551(x25653,x25654,x25651,x25655),f551(x25653,x25654,x25652,x25655))
% 201.34/201.12 [2566]~E(x25661,x25662)+E(f551(x25663,x25664,x25665,x25661),f551(x25663,x25664,x25665,x25662))
% 201.34/201.12 [2567]~E(x25671,x25672)+E(f393(x25671,x25673),f393(x25672,x25673))
% 201.34/201.12 [2568]~E(x25681,x25682)+E(f393(x25683,x25681),f393(x25683,x25682))
% 201.34/201.12 [2569]~E(x25691,x25692)+E(f702(x25691,x25693,x25694,x25695),f702(x25692,x25693,x25694,x25695))
% 201.34/201.12 [2570]~E(x25701,x25702)+E(f702(x25703,x25701,x25704,x25705),f702(x25703,x25702,x25704,x25705))
% 201.34/201.12 [2571]~E(x25711,x25712)+E(f702(x25713,x25714,x25711,x25715),f702(x25713,x25714,x25712,x25715))
% 201.34/201.12 [2572]~E(x25721,x25722)+E(f702(x25723,x25724,x25725,x25721),f702(x25723,x25724,x25725,x25722))
% 201.34/201.12 [2573]~E(x25731,x25732)+E(f717(x25731,x25733),f717(x25732,x25733))
% 201.34/201.12 [2574]~E(x25741,x25742)+E(f717(x25743,x25741),f717(x25743,x25742))
% 201.34/201.12 [2575]~E(x25751,x25752)+E(f399(x25751,x25753),f399(x25752,x25753))
% 201.34/201.12 [2576]~E(x25761,x25762)+E(f399(x25763,x25761),f399(x25763,x25762))
% 201.34/201.12 [2577]~E(x25771,x25772)+E(f826(x25771,x25773,x25774,x25775,x25776,x25777,x25778),f826(x25772,x25773,x25774,x25775,x25776,x25777,x25778))
% 201.34/201.12 [2578]~E(x25781,x25782)+E(f826(x25783,x25781,x25784,x25785,x25786,x25787,x25788),f826(x25783,x25782,x25784,x25785,x25786,x25787,x25788))
% 201.34/201.12 [2579]~E(x25791,x25792)+E(f826(x25793,x25794,x25791,x25795,x25796,x25797,x25798),f826(x25793,x25794,x25792,x25795,x25796,x25797,x25798))
% 201.34/201.12 [2580]~E(x25801,x25802)+E(f826(x25803,x25804,x25805,x25801,x25806,x25807,x25808),f826(x25803,x25804,x25805,x25802,x25806,x25807,x25808))
% 201.34/201.12 [2581]~E(x25811,x25812)+E(f826(x25813,x25814,x25815,x25816,x25811,x25817,x25818),f826(x25813,x25814,x25815,x25816,x25812,x25817,x25818))
% 201.34/201.12 [2582]~E(x25821,x25822)+E(f826(x25823,x25824,x25825,x25826,x25827,x25821,x25828),f826(x25823,x25824,x25825,x25826,x25827,x25822,x25828))
% 201.34/201.12 [2583]~E(x25831,x25832)+E(f826(x25833,x25834,x25835,x25836,x25837,x25838,x25831),f826(x25833,x25834,x25835,x25836,x25837,x25838,x25832))
% 201.34/201.12 [2584]~E(x25841,x25842)+E(f747(x25841,x25843,x25844,x25845),f747(x25842,x25843,x25844,x25845))
% 201.34/201.12 [2585]~E(x25851,x25852)+E(f747(x25853,x25851,x25854,x25855),f747(x25853,x25852,x25854,x25855))
% 201.34/201.12 [2586]~E(x25861,x25862)+E(f747(x25863,x25864,x25861,x25865),f747(x25863,x25864,x25862,x25865))
% 201.34/201.12 [2587]~E(x25871,x25872)+E(f747(x25873,x25874,x25875,x25871),f747(x25873,x25874,x25875,x25872))
% 201.34/201.12 [2588]~E(x25881,x25882)+E(f599(x25881,x25883,x25884),f599(x25882,x25883,x25884))
% 201.34/201.12 [2589]~E(x25891,x25892)+E(f599(x25893,x25891,x25894),f599(x25893,x25892,x25894))
% 201.34/201.12 [2590]~E(x25901,x25902)+E(f599(x25903,x25904,x25901),f599(x25903,x25904,x25902))
% 201.34/201.12 [2591]~E(x25911,x25912)+E(f23(x25911,x25913),f23(x25912,x25913))
% 201.34/201.12 [2592]~E(x25921,x25922)+E(f23(x25923,x25921),f23(x25923,x25922))
% 201.34/201.12 [2593]~E(x25931,x25932)+E(f537(x25931,x25933,x25934,x25935,x25936,x25937),f537(x25932,x25933,x25934,x25935,x25936,x25937))
% 201.34/201.12 [2594]~E(x25941,x25942)+E(f537(x25943,x25941,x25944,x25945,x25946,x25947),f537(x25943,x25942,x25944,x25945,x25946,x25947))
% 201.34/201.12 [2595]~E(x25951,x25952)+E(f537(x25953,x25954,x25951,x25955,x25956,x25957),f537(x25953,x25954,x25952,x25955,x25956,x25957))
% 201.34/201.12 [2596]~E(x25961,x25962)+E(f537(x25963,x25964,x25965,x25961,x25966,x25967),f537(x25963,x25964,x25965,x25962,x25966,x25967))
% 201.34/201.12 [2597]~E(x25971,x25972)+E(f537(x25973,x25974,x25975,x25976,x25971,x25977),f537(x25973,x25974,x25975,x25976,x25972,x25977))
% 201.34/201.12 [2598]~E(x25981,x25982)+E(f537(x25983,x25984,x25985,x25986,x25987,x25981),f537(x25983,x25984,x25985,x25986,x25987,x25982))
% 201.34/201.12 [2599]~E(x25991,x25992)+E(f665(x25991,x25993,x25994,x25995),f665(x25992,x25993,x25994,x25995))
% 201.34/201.12 [2600]~E(x26001,x26002)+E(f665(x26003,x26001,x26004,x26005),f665(x26003,x26002,x26004,x26005))
% 201.34/201.12 [2601]~E(x26011,x26012)+E(f665(x26013,x26014,x26011,x26015),f665(x26013,x26014,x26012,x26015))
% 201.34/201.12 [2602]~E(x26021,x26022)+E(f665(x26023,x26024,x26025,x26021),f665(x26023,x26024,x26025,x26022))
% 201.34/201.12 [2603]~E(x26031,x26032)+E(f323(x26031),f323(x26032))
% 201.34/201.12 [2604]~E(x26041,x26042)+E(f616(x26041,x26043,x26044,x26045),f616(x26042,x26043,x26044,x26045))
% 201.34/201.12 [2605]~E(x26051,x26052)+E(f616(x26053,x26051,x26054,x26055),f616(x26053,x26052,x26054,x26055))
% 201.34/201.12 [2606]~E(x26061,x26062)+E(f616(x26063,x26064,x26061,x26065),f616(x26063,x26064,x26062,x26065))
% 201.34/201.12 [2607]~E(x26071,x26072)+E(f616(x26073,x26074,x26075,x26071),f616(x26073,x26074,x26075,x26072))
% 201.34/201.12 [2608]~E(x26081,x26082)+E(f333(x26081,x26083,x26084,x26085,x26086),f333(x26082,x26083,x26084,x26085,x26086))
% 201.34/201.12 [2609]~E(x26091,x26092)+E(f333(x26093,x26091,x26094,x26095,x26096),f333(x26093,x26092,x26094,x26095,x26096))
% 201.34/201.12 [2610]~E(x26101,x26102)+E(f333(x26103,x26104,x26101,x26105,x26106),f333(x26103,x26104,x26102,x26105,x26106))
% 201.34/201.12 [2611]~E(x26111,x26112)+E(f333(x26113,x26114,x26115,x26111,x26116),f333(x26113,x26114,x26115,x26112,x26116))
% 201.34/201.12 [2612]~E(x26121,x26122)+E(f333(x26123,x26124,x26125,x26126,x26121),f333(x26123,x26124,x26125,x26126,x26122))
% 201.34/201.12 [2613]~E(x26131,x26132)+E(f520(x26131,x26133,x26134,x26135),f520(x26132,x26133,x26134,x26135))
% 201.34/201.12 [2614]~E(x26141,x26142)+E(f520(x26143,x26141,x26144,x26145),f520(x26143,x26142,x26144,x26145))
% 201.34/201.12 [2615]~E(x26151,x26152)+E(f520(x26153,x26154,x26151,x26155),f520(x26153,x26154,x26152,x26155))
% 201.34/201.12 [2616]~E(x26161,x26162)+E(f520(x26163,x26164,x26165,x26161),f520(x26163,x26164,x26165,x26162))
% 201.34/201.12 [2617]~E(x26171,x26172)+E(f765(x26171,x26173,x26174,x26175,x26176,x26177,x26178),f765(x26172,x26173,x26174,x26175,x26176,x26177,x26178))
% 201.34/201.12 [2618]~E(x26181,x26182)+E(f765(x26183,x26181,x26184,x26185,x26186,x26187,x26188),f765(x26183,x26182,x26184,x26185,x26186,x26187,x26188))
% 201.34/201.12 [2619]~E(x26191,x26192)+E(f765(x26193,x26194,x26191,x26195,x26196,x26197,x26198),f765(x26193,x26194,x26192,x26195,x26196,x26197,x26198))
% 201.34/201.12 [2620]~E(x26201,x26202)+E(f765(x26203,x26204,x26205,x26201,x26206,x26207,x26208),f765(x26203,x26204,x26205,x26202,x26206,x26207,x26208))
% 201.34/201.12 [2621]~E(x26211,x26212)+E(f765(x26213,x26214,x26215,x26216,x26211,x26217,x26218),f765(x26213,x26214,x26215,x26216,x26212,x26217,x26218))
% 201.34/201.12 [2622]~E(x26221,x26222)+E(f765(x26223,x26224,x26225,x26226,x26227,x26221,x26228),f765(x26223,x26224,x26225,x26226,x26227,x26222,x26228))
% 201.34/201.12 [2623]~E(x26231,x26232)+E(f765(x26233,x26234,x26235,x26236,x26237,x26238,x26231),f765(x26233,x26234,x26235,x26236,x26237,x26238,x26232))
% 201.34/201.12 [2624]~E(x26241,x26242)+E(f207(x26241,x26243),f207(x26242,x26243))
% 201.34/201.12 [2625]~E(x26251,x26252)+E(f207(x26253,x26251),f207(x26253,x26252))
% 201.34/201.12 [2626]~E(x26261,x26262)+E(f647(x26261,x26263,x26264,x26265),f647(x26262,x26263,x26264,x26265))
% 201.34/201.12 [2627]~E(x26271,x26272)+E(f647(x26273,x26271,x26274,x26275),f647(x26273,x26272,x26274,x26275))
% 201.34/201.12 [2628]~E(x26281,x26282)+E(f647(x26283,x26284,x26281,x26285),f647(x26283,x26284,x26282,x26285))
% 201.34/201.12 [2629]~E(x26291,x26292)+E(f647(x26293,x26294,x26295,x26291),f647(x26293,x26294,x26295,x26292))
% 201.34/201.12 [2630]~E(x26301,x26302)+E(f248(x26301,x26303,x26304,x26305,x26306),f248(x26302,x26303,x26304,x26305,x26306))
% 201.34/201.12 [2631]~E(x26311,x26312)+E(f248(x26313,x26311,x26314,x26315,x26316),f248(x26313,x26312,x26314,x26315,x26316))
% 201.34/201.12 [2632]~E(x26321,x26322)+E(f248(x26323,x26324,x26321,x26325,x26326),f248(x26323,x26324,x26322,x26325,x26326))
% 201.34/201.12 [2633]~E(x26331,x26332)+E(f248(x26333,x26334,x26335,x26331,x26336),f248(x26333,x26334,x26335,x26332,x26336))
% 201.34/201.12 [2634]~E(x26341,x26342)+E(f248(x26343,x26344,x26345,x26346,x26341),f248(x26343,x26344,x26345,x26346,x26342))
% 201.34/201.12 [2635]~E(x26351,x26352)+E(f774(x26351,x26353,x26354,x26355),f774(x26352,x26353,x26354,x26355))
% 201.34/201.12 [2636]~E(x26361,x26362)+E(f774(x26363,x26361,x26364,x26365),f774(x26363,x26362,x26364,x26365))
% 201.34/201.12 [2637]~E(x26371,x26372)+E(f774(x26373,x26374,x26371,x26375),f774(x26373,x26374,x26372,x26375))
% 201.34/201.12 [2638]~E(x26381,x26382)+E(f774(x26383,x26384,x26385,x26381),f774(x26383,x26384,x26385,x26382))
% 201.34/201.12 [2639]~E(x26391,x26392)+E(f788(x26391,x26393),f788(x26392,x26393))
% 201.34/201.12 [2640]~E(x26401,x26402)+E(f788(x26403,x26401),f788(x26403,x26402))
% 201.34/201.12 [2641]~E(x26411,x26412)+E(f531(x26411,x26413),f531(x26412,x26413))
% 201.34/201.12 [2642]~E(x26421,x26422)+E(f531(x26423,x26421),f531(x26423,x26422))
% 201.34/201.12 [2643]~E(x26431,x26432)+E(f547(x26431,x26433,x26434,x26435),f547(x26432,x26433,x26434,x26435))
% 201.36/201.12 [2644]~E(x26441,x26442)+E(f547(x26443,x26441,x26444,x26445),f547(x26443,x26442,x26444,x26445))
% 201.36/201.12 [2645]~E(x26451,x26452)+E(f547(x26453,x26454,x26451,x26455),f547(x26453,x26454,x26452,x26455))
% 201.36/201.12 [2646]~E(x26461,x26462)+E(f547(x26463,x26464,x26465,x26461),f547(x26463,x26464,x26465,x26462))
% 201.36/201.12 [2647]~E(x26471,x26472)+E(f601(x26471,x26473),f601(x26472,x26473))
% 201.36/201.12 [2648]~E(x26481,x26482)+E(f601(x26483,x26481),f601(x26483,x26482))
% 201.36/201.12 [2649]~E(x26491,x26492)+E(f592(x26491,x26493,x26494),f592(x26492,x26493,x26494))
% 201.36/201.12 [2650]~E(x26501,x26502)+E(f592(x26503,x26501,x26504),f592(x26503,x26502,x26504))
% 201.36/201.12 [2651]~E(x26511,x26512)+E(f592(x26513,x26514,x26511),f592(x26513,x26514,x26512))
% 201.36/201.12 [2652]~E(x26521,x26522)+E(f387(x26521),f387(x26522))
% 201.36/201.12 [2653]~E(x26531,x26532)+E(f642(x26531,x26533,x26534,x26535),f642(x26532,x26533,x26534,x26535))
% 201.36/201.12 [2654]~E(x26541,x26542)+E(f642(x26543,x26541,x26544,x26545),f642(x26543,x26542,x26544,x26545))
% 201.36/201.12 [2655]~E(x26551,x26552)+E(f642(x26553,x26554,x26551,x26555),f642(x26553,x26554,x26552,x26555))
% 201.36/201.12 [2656]~E(x26561,x26562)+E(f642(x26563,x26564,x26565,x26561),f642(x26563,x26564,x26565,x26562))
% 201.36/201.12 [2657]~E(x26571,x26572)+E(f637(x26571,x26573,x26574),f637(x26572,x26573,x26574))
% 201.36/201.12 [2658]~E(x26581,x26582)+E(f637(x26583,x26581,x26584),f637(x26583,x26582,x26584))
% 201.36/201.12 [2659]~E(x26591,x26592)+E(f637(x26593,x26594,x26591),f637(x26593,x26594,x26592))
% 201.36/201.12 [2660]~E(x26601,x26602)+E(f234(x26601,x26603,x26604,x26605,x26606,x26607),f234(x26602,x26603,x26604,x26605,x26606,x26607))
% 201.36/201.12 [2661]~E(x26611,x26612)+E(f234(x26613,x26611,x26614,x26615,x26616,x26617),f234(x26613,x26612,x26614,x26615,x26616,x26617))
% 201.36/201.12 [2662]~E(x26621,x26622)+E(f234(x26623,x26624,x26621,x26625,x26626,x26627),f234(x26623,x26624,x26622,x26625,x26626,x26627))
% 201.36/201.12 [2663]~E(x26631,x26632)+E(f234(x26633,x26634,x26635,x26631,x26636,x26637),f234(x26633,x26634,x26635,x26632,x26636,x26637))
% 201.36/201.12 [2664]~E(x26641,x26642)+E(f234(x26643,x26644,x26645,x26646,x26641,x26647),f234(x26643,x26644,x26645,x26646,x26642,x26647))
% 201.36/201.12 [2665]~E(x26651,x26652)+E(f234(x26653,x26654,x26655,x26656,x26657,x26651),f234(x26653,x26654,x26655,x26656,x26657,x26652))
% 201.36/201.12 [2666]~E(x26661,x26662)+E(f484(x26661),f484(x26662))
% 201.36/201.12 [2667]~E(x26671,x26672)+E(f869(x26671,x26673,x26674,x26675,x26676),f869(x26672,x26673,x26674,x26675,x26676))
% 201.36/201.12 [2668]~E(x26681,x26682)+E(f869(x26683,x26681,x26684,x26685,x26686),f869(x26683,x26682,x26684,x26685,x26686))
% 201.36/201.12 [2669]~E(x26691,x26692)+E(f869(x26693,x26694,x26691,x26695,x26696),f869(x26693,x26694,x26692,x26695,x26696))
% 201.36/201.12 [2670]~E(x26701,x26702)+E(f869(x26703,x26704,x26705,x26701,x26706),f869(x26703,x26704,x26705,x26702,x26706))
% 201.36/201.12 [2671]~E(x26711,x26712)+E(f869(x26713,x26714,x26715,x26716,x26711),f869(x26713,x26714,x26715,x26716,x26712))
% 201.36/201.12 [2672]~E(x26721,x26722)+E(f462(x26721,x26723,x26724),f462(x26722,x26723,x26724))
% 201.36/201.12 [2673]~E(x26731,x26732)+E(f462(x26733,x26731,x26734),f462(x26733,x26732,x26734))
% 201.36/201.12 [2674]~E(x26741,x26742)+E(f462(x26743,x26744,x26741),f462(x26743,x26744,x26742))
% 201.36/201.12 [2675]~E(x26751,x26752)+E(f426(x26751,x26753,x26754),f426(x26752,x26753,x26754))
% 201.36/201.12 [2676]~E(x26761,x26762)+E(f426(x26763,x26761,x26764),f426(x26763,x26762,x26764))
% 201.36/201.12 [2677]~E(x26771,x26772)+E(f426(x26773,x26774,x26771),f426(x26773,x26774,x26772))
% 201.36/201.12 [2678]~E(x26781,x26782)+E(f552(x26781,x26783),f552(x26782,x26783))
% 201.36/201.12 [2679]~E(x26791,x26792)+E(f552(x26793,x26791),f552(x26793,x26792))
% 201.36/201.12 [2680]~E(x26801,x26802)+E(f330(x26801,x26803),f330(x26802,x26803))
% 201.36/201.12 [2681]~E(x26811,x26812)+E(f330(x26813,x26811),f330(x26813,x26812))
% 201.36/201.12 [2682]~E(x26821,x26822)+E(f738(x26821,x26823,x26824),f738(x26822,x26823,x26824))
% 201.36/201.12 [2683]~E(x26831,x26832)+E(f738(x26833,x26831,x26834),f738(x26833,x26832,x26834))
% 201.36/201.12 [2684]~E(x26841,x26842)+E(f738(x26843,x26844,x26841),f738(x26843,x26844,x26842))
% 201.36/201.12 [2685]~E(x26851,x26852)+E(f380(x26851,x26853,x26854),f380(x26852,x26853,x26854))
% 201.36/201.12 [2686]~E(x26861,x26862)+E(f380(x26863,x26861,x26864),f380(x26863,x26862,x26864))
% 201.36/201.12 [2687]~E(x26871,x26872)+E(f380(x26873,x26874,x26871),f380(x26873,x26874,x26872))
% 201.36/201.12 [2688]~E(x26881,x26882)+E(f475(x26881,x26883,x26884),f475(x26882,x26883,x26884))
% 201.36/201.12 [2689]~E(x26891,x26892)+E(f475(x26893,x26891,x26894),f475(x26893,x26892,x26894))
% 201.36/201.12 [2690]~E(x26901,x26902)+E(f475(x26903,x26904,x26901),f475(x26903,x26904,x26902))
% 201.36/201.12 [2691]~E(x26911,x26912)+E(f713(x26911,x26913,x26914,x26915),f713(x26912,x26913,x26914,x26915))
% 201.36/201.12 [2692]~E(x26921,x26922)+E(f713(x26923,x26921,x26924,x26925),f713(x26923,x26922,x26924,x26925))
% 201.36/201.12 [2693]~E(x26931,x26932)+E(f713(x26933,x26934,x26931,x26935),f713(x26933,x26934,x26932,x26935))
% 201.36/201.12 [2694]~E(x26941,x26942)+E(f713(x26943,x26944,x26945,x26941),f713(x26943,x26944,x26945,x26942))
% 201.36/201.12 [2695]~E(x26951,x26952)+E(f582(x26951,x26953),f582(x26952,x26953))
% 201.36/201.12 [2696]~E(x26961,x26962)+E(f582(x26963,x26961),f582(x26963,x26962))
% 201.36/201.12 [2697]~E(x26971,x26972)+E(f514(x26971,x26973,x26974,x26975,x26976,x26977),f514(x26972,x26973,x26974,x26975,x26976,x26977))
% 201.36/201.12 [2698]~E(x26981,x26982)+E(f514(x26983,x26981,x26984,x26985,x26986,x26987),f514(x26983,x26982,x26984,x26985,x26986,x26987))
% 201.36/201.12 [2699]~E(x26991,x26992)+E(f514(x26993,x26994,x26991,x26995,x26996,x26997),f514(x26993,x26994,x26992,x26995,x26996,x26997))
% 201.36/201.12 [2700]~E(x27001,x27002)+E(f514(x27003,x27004,x27005,x27001,x27006,x27007),f514(x27003,x27004,x27005,x27002,x27006,x27007))
% 201.36/201.12 [2701]~E(x27011,x27012)+E(f514(x27013,x27014,x27015,x27016,x27011,x27017),f514(x27013,x27014,x27015,x27016,x27012,x27017))
% 201.36/201.12 [2702]~E(x27021,x27022)+E(f514(x27023,x27024,x27025,x27026,x27027,x27021),f514(x27023,x27024,x27025,x27026,x27027,x27022))
% 201.36/201.12 [2703]~E(x27031,x27032)+E(f546(x27031,x27033,x27034,x27035),f546(x27032,x27033,x27034,x27035))
% 201.36/201.12 [2704]~E(x27041,x27042)+E(f546(x27043,x27041,x27044,x27045),f546(x27043,x27042,x27044,x27045))
% 201.36/201.12 [2705]~E(x27051,x27052)+E(f546(x27053,x27054,x27051,x27055),f546(x27053,x27054,x27052,x27055))
% 201.36/201.12 [2706]~E(x27061,x27062)+E(f546(x27063,x27064,x27065,x27061),f546(x27063,x27064,x27065,x27062))
% 201.36/201.12 [2707]~E(x27071,x27072)+E(f669(x27071,x27073,x27074),f669(x27072,x27073,x27074))
% 201.36/201.12 [2708]~E(x27081,x27082)+E(f669(x27083,x27081,x27084),f669(x27083,x27082,x27084))
% 201.36/201.12 [2709]~E(x27091,x27092)+E(f669(x27093,x27094,x27091),f669(x27093,x27094,x27092))
% 201.36/201.12 [2710]~E(x27101,x27102)+E(f712(x27101,x27103),f712(x27102,x27103))
% 201.36/201.12 [2711]~E(x27111,x27112)+E(f712(x27113,x27111),f712(x27113,x27112))
% 201.36/201.12 [2712]~E(x27121,x27122)+E(f217(x27121,x27123,x27124),f217(x27122,x27123,x27124))
% 201.36/201.12 [2713]~E(x27131,x27132)+E(f217(x27133,x27131,x27134),f217(x27133,x27132,x27134))
% 201.36/201.12 [2714]~E(x27141,x27142)+E(f217(x27143,x27144,x27141),f217(x27143,x27144,x27142))
% 201.36/201.12 [2715]~E(x27151,x27152)+E(f773(x27151,x27153,x27154,x27155),f773(x27152,x27153,x27154,x27155))
% 201.36/201.12 [2716]~E(x27161,x27162)+E(f773(x27163,x27161,x27164,x27165),f773(x27163,x27162,x27164,x27165))
% 201.36/201.12 [2717]~E(x27171,x27172)+E(f773(x27173,x27174,x27171,x27175),f773(x27173,x27174,x27172,x27175))
% 201.36/201.12 [2718]~E(x27181,x27182)+E(f773(x27183,x27184,x27185,x27181),f773(x27183,x27184,x27185,x27182))
% 201.36/201.12 [2719]~E(x27191,x27192)+E(f433(x27191,x27193),f433(x27192,x27193))
% 201.36/201.12 [2720]~E(x27201,x27202)+E(f433(x27203,x27201),f433(x27203,x27202))
% 201.36/201.12 [2721]~E(x27211,x27212)+E(f719(x27211,x27213,x27214,x27215,x27216),f719(x27212,x27213,x27214,x27215,x27216))
% 201.36/201.12 [2722]~E(x27221,x27222)+E(f719(x27223,x27221,x27224,x27225,x27226),f719(x27223,x27222,x27224,x27225,x27226))
% 201.36/201.12 [2723]~E(x27231,x27232)+E(f719(x27233,x27234,x27231,x27235,x27236),f719(x27233,x27234,x27232,x27235,x27236))
% 201.36/201.12 [2724]~E(x27241,x27242)+E(f719(x27243,x27244,x27245,x27241,x27246),f719(x27243,x27244,x27245,x27242,x27246))
% 201.36/201.12 [2725]~E(x27251,x27252)+E(f719(x27253,x27254,x27255,x27256,x27251),f719(x27253,x27254,x27255,x27256,x27252))
% 201.36/201.12 [2726]~E(x27261,x27262)+E(f739(x27261,x27263,x27264),f739(x27262,x27263,x27264))
% 201.36/201.12 [2727]~E(x27271,x27272)+E(f739(x27273,x27271,x27274),f739(x27273,x27272,x27274))
% 201.36/201.12 [2728]~E(x27281,x27282)+E(f739(x27283,x27284,x27281),f739(x27283,x27284,x27282))
% 201.36/201.12 [2729]~E(x27291,x27292)+E(f595(x27291,x27293,x27294,x27295,x27296),f595(x27292,x27293,x27294,x27295,x27296))
% 201.36/201.12 [2730]~E(x27301,x27302)+E(f595(x27303,x27301,x27304,x27305,x27306),f595(x27303,x27302,x27304,x27305,x27306))
% 201.36/201.12 [2731]~E(x27311,x27312)+E(f595(x27313,x27314,x27311,x27315,x27316),f595(x27313,x27314,x27312,x27315,x27316))
% 201.36/201.12 [2732]~E(x27321,x27322)+E(f595(x27323,x27324,x27325,x27321,x27326),f595(x27323,x27324,x27325,x27322,x27326))
% 201.36/201.12 [2733]~E(x27331,x27332)+E(f595(x27333,x27334,x27335,x27336,x27331),f595(x27333,x27334,x27335,x27336,x27332))
% 201.36/201.12 [2734]~E(x27341,x27342)+E(f372(x27341,x27343,x27344),f372(x27342,x27343,x27344))
% 201.36/201.12 [2735]~E(x27351,x27352)+E(f372(x27353,x27351,x27354),f372(x27353,x27352,x27354))
% 201.36/201.12 [2736]~E(x27361,x27362)+E(f372(x27363,x27364,x27361),f372(x27363,x27364,x27362))
% 201.36/201.12 [2737]~E(x27371,x27372)+E(f196(x27371,x27373,x27374,x27375,x27376,x27377,x27378),f196(x27372,x27373,x27374,x27375,x27376,x27377,x27378))
% 201.36/201.12 [2738]~E(x27381,x27382)+E(f196(x27383,x27381,x27384,x27385,x27386,x27387,x27388),f196(x27383,x27382,x27384,x27385,x27386,x27387,x27388))
% 201.36/201.12 [2739]~E(x27391,x27392)+E(f196(x27393,x27394,x27391,x27395,x27396,x27397,x27398),f196(x27393,x27394,x27392,x27395,x27396,x27397,x27398))
% 201.36/201.12 [2740]~E(x27401,x27402)+E(f196(x27403,x27404,x27405,x27401,x27406,x27407,x27408),f196(x27403,x27404,x27405,x27402,x27406,x27407,x27408))
% 201.36/201.12 [2741]~E(x27411,x27412)+E(f196(x27413,x27414,x27415,x27416,x27411,x27417,x27418),f196(x27413,x27414,x27415,x27416,x27412,x27417,x27418))
% 201.36/201.12 [2742]~E(x27421,x27422)+E(f196(x27423,x27424,x27425,x27426,x27427,x27421,x27428),f196(x27423,x27424,x27425,x27426,x27427,x27422,x27428))
% 201.36/201.12 [2743]~E(x27431,x27432)+E(f196(x27433,x27434,x27435,x27436,x27437,x27438,x27431),f196(x27433,x27434,x27435,x27436,x27437,x27438,x27432))
% 201.36/201.12 [2744]~E(x27441,x27442)+E(f692(x27441,x27443,x27444),f692(x27442,x27443,x27444))
% 201.36/201.12 [2745]~E(x27451,x27452)+E(f692(x27453,x27451,x27454),f692(x27453,x27452,x27454))
% 201.36/201.12 [2746]~E(x27461,x27462)+E(f692(x27463,x27464,x27461),f692(x27463,x27464,x27462))
% 201.36/201.12 [2747]~E(x27471,x27472)+E(f264(x27471,x27473,x27474,x27475),f264(x27472,x27473,x27474,x27475))
% 201.36/201.12 [2748]~E(x27481,x27482)+E(f264(x27483,x27481,x27484,x27485),f264(x27483,x27482,x27484,x27485))
% 201.36/201.12 [2749]~E(x27491,x27492)+E(f264(x27493,x27494,x27491,x27495),f264(x27493,x27494,x27492,x27495))
% 201.36/201.12 [2750]~E(x27501,x27502)+E(f264(x27503,x27504,x27505,x27501),f264(x27503,x27504,x27505,x27502))
% 201.36/201.12 [2751]~E(x27511,x27512)+E(f598(x27511,x27513,x27514),f598(x27512,x27513,x27514))
% 201.36/201.12 [2752]~E(x27521,x27522)+E(f598(x27523,x27521,x27524),f598(x27523,x27522,x27524))
% 201.36/201.12 [2753]~E(x27531,x27532)+E(f598(x27533,x27534,x27531),f598(x27533,x27534,x27532))
% 201.36/201.12 [2754]~E(x27541,x27542)+E(f527(x27541),f527(x27542))
% 201.36/201.12 [2755]~E(x27551,x27552)+E(f800(x27551,x27553),f800(x27552,x27553))
% 201.36/201.12 [2756]~E(x27561,x27562)+E(f800(x27563,x27561),f800(x27563,x27562))
% 201.36/201.12 [2757]~E(x27571,x27572)+E(f541(x27571,x27573),f541(x27572,x27573))
% 201.36/201.12 [2758]~E(x27581,x27582)+E(f541(x27583,x27581),f541(x27583,x27582))
% 201.36/201.12 [2759]~E(x27591,x27592)+E(f113(x27591),f113(x27592))
% 201.36/201.12 [2760]~P1(x27601)+P1(x27602)+~E(x27601,x27602)
% 201.36/201.12 [2761]~P107(x27611)+P107(x27612)+~E(x27611,x27612)
% 201.36/201.12 [2762]P12(x27622,x27623,x27624,x27625,x27626,x27627)+~E(x27621,x27622)+~P12(x27621,x27623,x27624,x27625,x27626,x27627)
% 201.36/201.12 [2763]P12(x27633,x27632,x27634,x27635,x27636,x27637)+~E(x27631,x27632)+~P12(x27633,x27631,x27634,x27635,x27636,x27637)
% 201.36/201.12 [2764]P12(x27643,x27644,x27642,x27645,x27646,x27647)+~E(x27641,x27642)+~P12(x27643,x27644,x27641,x27645,x27646,x27647)
% 201.36/201.12 [2765]P12(x27653,x27654,x27655,x27652,x27656,x27657)+~E(x27651,x27652)+~P12(x27653,x27654,x27655,x27651,x27656,x27657)
% 201.36/201.12 [2766]P12(x27663,x27664,x27665,x27666,x27662,x27667)+~E(x27661,x27662)+~P12(x27663,x27664,x27665,x27666,x27661,x27667)
% 201.36/201.12 [2767]P12(x27673,x27674,x27675,x27676,x27677,x27672)+~E(x27671,x27672)+~P12(x27673,x27674,x27675,x27676,x27677,x27671)
% 201.36/201.12 [2768]~P108(x27681)+P108(x27682)+~E(x27681,x27682)
% 201.36/201.12 [2769]~P103(x27691)+P103(x27692)+~E(x27691,x27692)
% 201.36/201.12 [2770]~P110(x27701)+P110(x27702)+~E(x27701,x27702)
% 201.36/201.12 [2771]~P101(x27711)+P101(x27712)+~E(x27711,x27712)
% 201.36/201.12 [2772]~P2(x27721)+P2(x27722)+~E(x27721,x27722)
% 201.36/201.12 [2773]P26(x27732,x27733,x27734,x27735)+~E(x27731,x27732)+~P26(x27731,x27733,x27734,x27735)
% 201.36/201.12 [2774]P26(x27743,x27742,x27744,x27745)+~E(x27741,x27742)+~P26(x27743,x27741,x27744,x27745)
% 201.36/201.12 [2775]P26(x27753,x27754,x27752,x27755)+~E(x27751,x27752)+~P26(x27753,x27754,x27751,x27755)
% 201.36/201.12 [2776]P26(x27763,x27764,x27765,x27762)+~E(x27761,x27762)+~P26(x27763,x27764,x27765,x27761)
% 201.36/201.12 [2777]P13(x27772,x27773)+~E(x27771,x27772)+~P13(x27771,x27773)
% 201.36/201.12 [2778]P13(x27783,x27782)+~E(x27781,x27782)+~P13(x27783,x27781)
% 201.36/201.12 [2779]~P109(x27791)+P109(x27792)+~E(x27791,x27792)
% 201.36/201.12 [2780]~P62(x27801)+P62(x27802)+~E(x27801,x27802)
% 201.36/201.12 [2781]P34(x27812,x27813,x27814,x27815)+~E(x27811,x27812)+~P34(x27811,x27813,x27814,x27815)
% 201.36/201.12 [2782]P34(x27823,x27822,x27824,x27825)+~E(x27821,x27822)+~P34(x27823,x27821,x27824,x27825)
% 201.36/201.12 [2783]P34(x27833,x27834,x27832,x27835)+~E(x27831,x27832)+~P34(x27833,x27834,x27831,x27835)
% 201.36/201.12 [2784]P34(x27843,x27844,x27845,x27842)+~E(x27841,x27842)+~P34(x27843,x27844,x27845,x27841)
% 201.36/201.12 [2785]~P67(x27851)+P67(x27852)+~E(x27851,x27852)
% 201.36/201.12 [2786]~P82(x27861)+P82(x27862)+~E(x27861,x27862)
% 201.36/201.12 [2787]~P112(x27871)+P112(x27872)+~E(x27871,x27872)
% 201.36/201.12 [2788]~P5(x27881)+P5(x27882)+~E(x27881,x27882)
% 201.36/201.12 [2789]~P111(x27891)+P111(x27892)+~E(x27891,x27892)
% 201.36/201.12 [2790]~P97(x27901)+P97(x27902)+~E(x27901,x27902)
% 201.36/201.12 [2791]P16(x27912,x27913,x27914)+~E(x27911,x27912)+~P16(x27911,x27913,x27914)
% 201.36/201.12 [2792]P16(x27923,x27922,x27924)+~E(x27921,x27922)+~P16(x27923,x27921,x27924)
% 201.36/201.12 [2793]P16(x27933,x27934,x27932)+~E(x27931,x27932)+~P16(x27933,x27934,x27931)
% 201.36/201.12 [2794]~P70(x27941)+P70(x27942)+~E(x27941,x27942)
% 201.36/201.12 [2795]~P3(x27951)+P3(x27952)+~E(x27951,x27952)
% 201.36/201.12 [2796]~P85(x27961)+P85(x27962)+~E(x27961,x27962)
% 201.36/201.12 [2797]~P113(x27971)+P113(x27972)+~E(x27971,x27972)
% 201.36/201.12 [2798]~P96(x27981)+P96(x27982)+~E(x27981,x27982)
% 201.36/201.12 [2799]~P80(x27991)+P80(x27992)+~E(x27991,x27992)
% 201.36/201.12 [2800]P27(x28002,x28003,x28004,x28005,x28006)+~E(x28001,x28002)+~P27(x28001,x28003,x28004,x28005,x28006)
% 201.36/201.12 [2801]P27(x28013,x28012,x28014,x28015,x28016)+~E(x28011,x28012)+~P27(x28013,x28011,x28014,x28015,x28016)
% 201.36/201.12 [2802]P27(x28023,x28024,x28022,x28025,x28026)+~E(x28021,x28022)+~P27(x28023,x28024,x28021,x28025,x28026)
% 201.36/201.12 [2803]P27(x28033,x28034,x28035,x28032,x28036)+~E(x28031,x28032)+~P27(x28033,x28034,x28035,x28031,x28036)
% 201.36/201.12 [2804]P27(x28043,x28044,x28045,x28046,x28042)+~E(x28041,x28042)+~P27(x28043,x28044,x28045,x28046,x28041)
% 201.36/201.12 [2805]P36(x28052,x28053,x28054,x28055,x28056)+~E(x28051,x28052)+~P36(x28051,x28053,x28054,x28055,x28056)
% 201.36/201.12 [2806]P36(x28063,x28062,x28064,x28065,x28066)+~E(x28061,x28062)+~P36(x28063,x28061,x28064,x28065,x28066)
% 201.36/201.12 [2807]P36(x28073,x28074,x28072,x28075,x28076)+~E(x28071,x28072)+~P36(x28073,x28074,x28071,x28075,x28076)
% 201.36/201.12 [2808]P36(x28083,x28084,x28085,x28082,x28086)+~E(x28081,x28082)+~P36(x28083,x28084,x28085,x28081,x28086)
% 201.36/201.12 [2809]P36(x28093,x28094,x28095,x28096,x28092)+~E(x28091,x28092)+~P36(x28093,x28094,x28095,x28096,x28091)
% 201.36/201.12 [2810]~P81(x28101)+P81(x28102)+~E(x28101,x28102)
% 201.36/201.12 [2811]~P69(x28111)+P69(x28112)+~E(x28111,x28112)
% 201.36/201.12 [2812]~P4(x28121)+P4(x28122)+~E(x28121,x28122)
% 201.36/201.12 [2813]~P72(x28131)+P72(x28132)+~E(x28131,x28132)
% 201.36/201.12 [2814]~P68(x28141)+P68(x28142)+~E(x28141,x28142)
% 201.36/201.12 [2815]P33(x28152,x28153,x28154)+~E(x28151,x28152)+~P33(x28151,x28153,x28154)
% 201.36/201.12 [2816]P33(x28163,x28162,x28164)+~E(x28161,x28162)+~P33(x28163,x28161,x28164)
% 201.36/201.12 [2817]P33(x28173,x28174,x28172)+~E(x28171,x28172)+~P33(x28173,x28174,x28171)
% 201.36/201.12 [2818]~P42(x28181)+P42(x28182)+~E(x28181,x28182)
% 201.36/201.12 [2819]~P65(x28191)+P65(x28192)+~E(x28191,x28192)
% 201.36/201.12 [2820]~P76(x28201)+P76(x28202)+~E(x28201,x28202)
% 201.36/201.12 [2821]~P123(x28211)+P123(x28212)+~E(x28211,x28212)
% 201.36/201.12 [2822]P17(x28222,x28223,x28224)+~E(x28221,x28222)+~P17(x28221,x28223,x28224)
% 201.36/201.12 [2823]P17(x28233,x28232,x28234)+~E(x28231,x28232)+~P17(x28233,x28231,x28234)
% 201.36/201.12 [2824]P17(x28243,x28244,x28242)+~E(x28241,x28242)+~P17(x28243,x28244,x28241)
% 201.36/201.12 [2825]P39(x28252,x28253)+~E(x28251,x28252)+~P39(x28251,x28253)
% 201.36/201.12 [2826]P39(x28263,x28262)+~E(x28261,x28262)+~P39(x28263,x28261)
% 201.36/201.12 [2827]P37(x28272,x28273,x28274)+~E(x28271,x28272)+~P37(x28271,x28273,x28274)
% 201.36/201.12 [2828]P37(x28283,x28282,x28284)+~E(x28281,x28282)+~P37(x28283,x28281,x28284)
% 201.36/201.12 [2829]P37(x28293,x28294,x28292)+~E(x28291,x28292)+~P37(x28293,x28294,x28291)
% 201.36/201.12 [2830]~P86(x28301)+P86(x28302)+~E(x28301,x28302)
% 201.36/201.12 [2831]~P83(x28311)+P83(x28312)+~E(x28311,x28312)
% 201.36/201.12 [2832]P54(x28322,x28323,x28324)+~E(x28321,x28322)+~P54(x28321,x28323,x28324)
% 201.36/201.12 [2833]P54(x28333,x28332,x28334)+~E(x28331,x28332)+~P54(x28333,x28331,x28334)
% 201.36/201.12 [2834]P54(x28343,x28344,x28342)+~E(x28341,x28342)+~P54(x28343,x28344,x28341)
% 201.36/201.12 [2835]P7(x28352,x28353)+~E(x28351,x28352)+~P7(x28351,x28353)
% 201.36/201.12 [2836]P7(x28363,x28362)+~E(x28361,x28362)+~P7(x28363,x28361)
% 201.36/201.12 [2837]~P136(x28371)+P136(x28372)+~E(x28371,x28372)
% 201.36/201.12 [2838]P8(x28382,x28383,x28384)+~E(x28381,x28382)+~P8(x28381,x28383,x28384)
% 201.36/201.12 [2839]P8(x28393,x28392,x28394)+~E(x28391,x28392)+~P8(x28393,x28391,x28394)
% 201.36/201.12 [2840]P8(x28403,x28404,x28402)+~E(x28401,x28402)+~P8(x28403,x28404,x28401)
% 201.36/201.12 [2841]~P139(x28411)+P139(x28412)+~E(x28411,x28412)
% 201.36/201.12 [2842]~P84(x28421)+P84(x28422)+~E(x28421,x28422)
% 201.36/201.12 [2843]~P92(x28431)+P92(x28432)+~E(x28431,x28432)
% 201.36/201.12 [2844]~P147(x28441)+P147(x28442)+~E(x28441,x28442)
% 201.36/201.12 [2845]P60(x28452,x28453,x28454,x28455)+~E(x28451,x28452)+~P60(x28451,x28453,x28454,x28455)
% 201.36/201.12 [2846]P60(x28463,x28462,x28464,x28465)+~E(x28461,x28462)+~P60(x28463,x28461,x28464,x28465)
% 201.36/201.12 [2847]P60(x28473,x28474,x28472,x28475)+~E(x28471,x28472)+~P60(x28473,x28474,x28471,x28475)
% 201.36/201.12 [2848]P60(x28483,x28484,x28485,x28482)+~E(x28481,x28482)+~P60(x28483,x28484,x28485,x28481)
% 201.36/201.12 [2849]P22(x28492,x28493,x28494,x28495,x28496)+~E(x28491,x28492)+~P22(x28491,x28493,x28494,x28495,x28496)
% 201.36/201.12 [2850]P22(x28503,x28502,x28504,x28505,x28506)+~E(x28501,x28502)+~P22(x28503,x28501,x28504,x28505,x28506)
% 201.36/201.12 [2851]P22(x28513,x28514,x28512,x28515,x28516)+~E(x28511,x28512)+~P22(x28513,x28514,x28511,x28515,x28516)
% 201.36/201.12 [2852]P22(x28523,x28524,x28525,x28522,x28526)+~E(x28521,x28522)+~P22(x28523,x28524,x28525,x28521,x28526)
% 201.36/201.12 [2853]P22(x28533,x28534,x28535,x28536,x28532)+~E(x28531,x28532)+~P22(x28533,x28534,x28535,x28536,x28531)
% 201.36/201.12 [2854]P19(x28542,x28543,x28544,x28545)+~E(x28541,x28542)+~P19(x28541,x28543,x28544,x28545)
% 201.36/201.12 [2855]P19(x28553,x28552,x28554,x28555)+~E(x28551,x28552)+~P19(x28553,x28551,x28554,x28555)
% 201.36/201.12 [2856]P19(x28563,x28564,x28562,x28565)+~E(x28561,x28562)+~P19(x28563,x28564,x28561,x28565)
% 201.36/201.12 [2857]P19(x28573,x28574,x28575,x28572)+~E(x28571,x28572)+~P19(x28573,x28574,x28575,x28571)
% 201.36/201.12 [2858]~P63(x28581)+P63(x28582)+~E(x28581,x28582)
% 201.36/201.12 [2859]~P144(x28591)+P144(x28592)+~E(x28591,x28592)
% 201.36/201.12 [2860]P149(x28602,x28603,x28604)+~E(x28601,x28602)+~P149(x28601,x28603,x28604)
% 201.36/201.12 [2861]P149(x28613,x28612,x28614)+~E(x28611,x28612)+~P149(x28613,x28611,x28614)
% 201.36/201.12 [2862]P149(x28623,x28624,x28622)+~E(x28621,x28622)+~P149(x28623,x28624,x28621)
% 201.36/201.12 [2863]P56(x28632,x28633,x28634)+~E(x28631,x28632)+~P56(x28631,x28633,x28634)
% 201.36/201.12 [2864]P56(x28643,x28642,x28644)+~E(x28641,x28642)+~P56(x28643,x28641,x28644)
% 201.36/201.12 [2865]P56(x28653,x28654,x28652)+~E(x28651,x28652)+~P56(x28653,x28654,x28651)
% 201.36/201.12 [2866]~P73(x28661)+P73(x28662)+~E(x28661,x28662)
% 201.36/201.12 [2867]~P145(x28671)+P145(x28672)+~E(x28671,x28672)
% 201.36/201.12 [2868]~P127(x28681)+P127(x28682)+~E(x28681,x28682)
% 201.36/201.12 [2869]~P74(x28691)+P74(x28692)+~E(x28691,x28692)
% 201.36/201.12 [2870]P24(x28702,x28703,x28704,x28705,x28706,x28707)+~E(x28701,x28702)+~P24(x28701,x28703,x28704,x28705,x28706,x28707)
% 201.36/201.12 [2871]P24(x28713,x28712,x28714,x28715,x28716,x28717)+~E(x28711,x28712)+~P24(x28713,x28711,x28714,x28715,x28716,x28717)
% 201.36/201.12 [2872]P24(x28723,x28724,x28722,x28725,x28726,x28727)+~E(x28721,x28722)+~P24(x28723,x28724,x28721,x28725,x28726,x28727)
% 201.36/201.12 [2873]P24(x28733,x28734,x28735,x28732,x28736,x28737)+~E(x28731,x28732)+~P24(x28733,x28734,x28735,x28731,x28736,x28737)
% 201.36/201.12 [2874]P24(x28743,x28744,x28745,x28746,x28742,x28747)+~E(x28741,x28742)+~P24(x28743,x28744,x28745,x28746,x28741,x28747)
% 201.36/201.12 [2875]P24(x28753,x28754,x28755,x28756,x28757,x28752)+~E(x28751,x28752)+~P24(x28753,x28754,x28755,x28756,x28757,x28751)
% 201.36/201.12 [2876]P28(x28762,x28763)+~E(x28761,x28762)+~P28(x28761,x28763)
% 201.36/201.12 [2877]P28(x28773,x28772)+~E(x28771,x28772)+~P28(x28773,x28771)
% 201.36/201.12 [2878]~P71(x28781)+P71(x28782)+~E(x28781,x28782)
% 201.36/201.12 [2879]~P120(x28791)+P120(x28792)+~E(x28791,x28792)
% 201.36/201.12 [2880]P25(x28802,x28803,x28804)+~E(x28801,x28802)+~P25(x28801,x28803,x28804)
% 201.36/201.12 [2881]P25(x28813,x28812,x28814)+~E(x28811,x28812)+~P25(x28813,x28811,x28814)
% 201.36/201.12 [2882]P25(x28823,x28824,x28822)+~E(x28821,x28822)+~P25(x28823,x28824,x28821)
% 201.36/201.12 [2883]~P129(x28831)+P129(x28832)+~E(x28831,x28832)
% 201.36/201.12 [2884]P57(x28842,x28843,x28844)+~E(x28841,x28842)+~P57(x28841,x28843,x28844)
% 201.36/201.12 [2885]P57(x28853,x28852,x28854)+~E(x28851,x28852)+~P57(x28853,x28851,x28854)
% 201.36/201.12 [2886]P57(x28863,x28864,x28862)+~E(x28861,x28862)+~P57(x28863,x28864,x28861)
% 201.36/201.12 [2887]~P114(x28871)+P114(x28872)+~E(x28871,x28872)
% 201.36/201.12 [2888]P11(x28882,x28883,x28884,x28885)+~E(x28881,x28882)+~P11(x28881,x28883,x28884,x28885)
% 201.36/201.12 [2889]P11(x28893,x28892,x28894,x28895)+~E(x28891,x28892)+~P11(x28893,x28891,x28894,x28895)
% 201.36/201.12 [2890]P11(x28903,x28904,x28902,x28905)+~E(x28901,x28902)+~P11(x28903,x28904,x28901,x28905)
% 201.36/201.12 [2891]P11(x28913,x28914,x28915,x28912)+~E(x28911,x28912)+~P11(x28913,x28914,x28915,x28911)
% 201.36/201.12 [2892]P29(x28922,x28923)+~E(x28921,x28922)+~P29(x28921,x28923)
% 201.36/201.12 [2893]P29(x28933,x28932)+~E(x28931,x28932)+~P29(x28933,x28931)
% 201.36/201.12 [2894]~P130(x28941)+P130(x28942)+~E(x28941,x28942)
% 201.36/201.12 [2895]~P91(x28951)+P91(x28952)+~E(x28951,x28952)
% 201.36/201.12 [2896]~P131(x28961)+P131(x28962)+~E(x28961,x28962)
% 201.36/201.12 [2897]~P132(x28971)+P132(x28972)+~E(x28971,x28972)
% 201.36/201.12 [2898]P150(x28982,x28983,x28984)+~E(x28981,x28982)+~P150(x28981,x28983,x28984)
% 201.36/201.12 [2899]P150(x28993,x28992,x28994)+~E(x28991,x28992)+~P150(x28993,x28991,x28994)
% 201.36/201.12 [2900]P150(x29003,x29004,x29002)+~E(x29001,x29002)+~P150(x29003,x29004,x29001)
% 201.36/201.12 [2901]P40(x29012,x29013)+~E(x29011,x29012)+~P40(x29011,x29013)
% 201.36/201.12 [2902]P40(x29023,x29022)+~E(x29021,x29022)+~P40(x29023,x29021)
% 201.36/201.12 [2903]~P87(x29031)+P87(x29032)+~E(x29031,x29032)
% 201.36/201.12 [2904]~P88(x29041)+P88(x29042)+~E(x29041,x29042)
% 201.36/201.12 [2905]~P142(x29051)+P142(x29052)+~E(x29051,x29052)
% 201.36/201.12 [2906]~P89(x29061)+P89(x29062)+~E(x29061,x29062)
% 201.36/201.12 [2907]~P6(x29071)+P6(x29072)+~E(x29071,x29072)
% 201.36/201.12 [2908]~P117(x29081)+P117(x29082)+~E(x29081,x29082)
% 201.36/201.12 [2909]~P77(x29091)+P77(x29092)+~E(x29091,x29092)
% 201.36/201.12 [2910]P58(x29102,x29103,x29104,x29105,x29106)+~E(x29101,x29102)+~P58(x29101,x29103,x29104,x29105,x29106)
% 201.36/201.12 [2911]P58(x29113,x29112,x29114,x29115,x29116)+~E(x29111,x29112)+~P58(x29113,x29111,x29114,x29115,x29116)
% 201.36/201.12 [2912]P58(x29123,x29124,x29122,x29125,x29126)+~E(x29121,x29122)+~P58(x29123,x29124,x29121,x29125,x29126)
% 201.36/201.12 [2913]P58(x29133,x29134,x29135,x29132,x29136)+~E(x29131,x29132)+~P58(x29133,x29134,x29135,x29131,x29136)
% 201.36/201.12 [2914]P58(x29143,x29144,x29145,x29146,x29142)+~E(x29141,x29142)+~P58(x29143,x29144,x29145,x29146,x29141)
% 201.36/201.12 [2915]~P116(x29151)+P116(x29152)+~E(x29151,x29152)
% 201.36/201.12 [2916]~P64(x29161)+P64(x29162)+~E(x29161,x29162)
% 201.36/201.12 [2917]P52(x29172,x29173)+~E(x29171,x29172)+~P52(x29171,x29173)
% 201.36/201.12 [2918]P52(x29183,x29182)+~E(x29181,x29182)+~P52(x29183,x29181)
% 201.36/201.12 [2919]P31(x29192,x29193,x29194)+~E(x29191,x29192)+~P31(x29191,x29193,x29194)
% 201.36/201.12 [2920]P31(x29203,x29202,x29204)+~E(x29201,x29202)+~P31(x29203,x29201,x29204)
% 201.36/201.12 [2921]P31(x29213,x29214,x29212)+~E(x29211,x29212)+~P31(x29213,x29214,x29211)
% 201.36/201.12 [2922]~P78(x29221)+P78(x29222)+~E(x29221,x29222)
% 201.36/201.12 [2923]~P133(x29231)+P133(x29232)+~E(x29231,x29232)
% 201.36/201.12 [2924]~P90(x29241)+P90(x29242)+~E(x29241,x29242)
% 201.36/201.12 [2925]~P104(x29251)+P104(x29252)+~E(x29251,x29252)
% 201.36/201.12 [2926]~P94(x29261)+P94(x29262)+~E(x29261,x29262)
% 201.36/201.12 [2927]~P66(x29271)+P66(x29272)+~E(x29271,x29272)
% 201.36/201.12 [2928]P35(x29282,x29283,x29284)+~E(x29281,x29282)+~P35(x29281,x29283,x29284)
% 201.36/201.12 [2929]P35(x29293,x29292,x29294)+~E(x29291,x29292)+~P35(x29293,x29291,x29294)
% 201.36/201.12 [2930]P35(x29303,x29304,x29302)+~E(x29301,x29302)+~P35(x29303,x29304,x29301)
% 201.36/201.12 [2931]~P122(x29311)+P122(x29312)+~E(x29311,x29312)
% 201.36/201.12 [2932]~P99(x29321)+P99(x29322)+~E(x29321,x29322)
% 201.36/201.12 [2933]P51(x29332,x29333)+~E(x29331,x29332)+~P51(x29331,x29333)
% 201.36/201.12 [2934]P51(x29343,x29342)+~E(x29341,x29342)+~P51(x29343,x29341)
% 201.36/201.12 [2935]P53(x29352,x29353)+~E(x29351,x29352)+~P53(x29351,x29353)
% 201.36/201.12 [2936]P53(x29363,x29362)+~E(x29361,x29362)+~P53(x29363,x29361)
% 201.36/201.12 [2937]~P141(x29371)+P141(x29372)+~E(x29371,x29372)
% 201.36/201.12 [2938]~P143(x29381)+P143(x29382)+~E(x29381,x29382)
% 201.36/201.12 [2939]~P137(x29391)+P137(x29392)+~E(x29391,x29392)
% 201.36/201.12 [2940]~P98(x29401)+P98(x29402)+~E(x29401,x29402)
% 201.36/201.12 [2941]~P93(x29411)+P93(x29412)+~E(x29411,x29412)
% 201.36/201.12 [2942]~P146(x29421)+P146(x29422)+~E(x29421,x29422)
% 201.36/201.12 [2943]P14(x29432,x29433,x29434)+~E(x29431,x29432)+~P14(x29431,x29433,x29434)
% 201.36/201.12 [2944]P14(x29443,x29442,x29444)+~E(x29441,x29442)+~P14(x29443,x29441,x29444)
% 201.36/201.12 [2945]P14(x29453,x29454,x29452)+~E(x29451,x29452)+~P14(x29453,x29454,x29451)
% 201.36/201.12 [2946]P59(x29462,x29463)+~E(x29461,x29462)+~P59(x29461,x29463)
% 201.36/201.12 [2947]P59(x29473,x29472)+~E(x29471,x29472)+~P59(x29473,x29471)
% 201.36/201.12 [2948]~P124(x29481)+P124(x29482)+~E(x29481,x29482)
% 201.36/201.12 [2949]~P95(x29491)+P95(x29492)+~E(x29491,x29492)
% 201.36/201.12 [2950]~P105(x29501)+P105(x29502)+~E(x29501,x29502)
% 201.36/201.12 [2951]P20(x29512,x29513,x29514,x29515)+~E(x29511,x29512)+~P20(x29511,x29513,x29514,x29515)
% 201.36/201.12 [2952]P20(x29523,x29522,x29524,x29525)+~E(x29521,x29522)+~P20(x29523,x29521,x29524,x29525)
% 201.36/201.12 [2953]P20(x29533,x29534,x29532,x29535)+~E(x29531,x29532)+~P20(x29533,x29534,x29531,x29535)
% 201.36/201.12 [2954]P20(x29543,x29544,x29545,x29542)+~E(x29541,x29542)+~P20(x29543,x29544,x29545,x29541)
% 201.36/201.12 [2955]P9(x29552,x29553,x29554)+~E(x29551,x29552)+~P9(x29551,x29553,x29554)
% 201.36/201.12 [2956]P9(x29563,x29562,x29564)+~E(x29561,x29562)+~P9(x29563,x29561,x29564)
% 201.36/201.12 [2957]P9(x29573,x29574,x29572)+~E(x29571,x29572)+~P9(x29573,x29574,x29571)
% 201.36/201.12 [2958]~P115(x29581)+P115(x29582)+~E(x29581,x29582)
% 201.36/201.12 [2959]P48(x29592,x29593)+~E(x29591,x29592)+~P48(x29591,x29593)
% 201.36/201.12 [2960]P48(x29603,x29602)+~E(x29601,x29602)+~P48(x29603,x29601)
% 201.36/201.12 [2961]P45(x29612,x29613)+~E(x29611,x29612)+~P45(x29611,x29613)
% 201.36/201.12 [2962]P45(x29623,x29622)+~E(x29621,x29622)+~P45(x29623,x29621)
% 201.36/201.12 [2963]P46(x29632,x29633)+~E(x29631,x29632)+~P46(x29631,x29633)
% 201.36/201.12 [2964]P46(x29643,x29642)+~E(x29641,x29642)+~P46(x29643,x29641)
% 201.36/201.12 [2965]~P140(x29651)+P140(x29652)+~E(x29651,x29652)
% 201.36/201.12 [2966]~P134(x29661)+P134(x29662)+~E(x29661,x29662)
% 201.36/201.12 [2967]~P138(x29671)+P138(x29672)+~E(x29671,x29672)
% 201.36/201.12 [2968]~P102(x29681)+P102(x29682)+~E(x29681,x29682)
% 201.36/201.12 [2969]~P128(x29691)+P128(x29692)+~E(x29691,x29692)
% 201.36/201.12 [2970]P15(x29702,x29703)+~E(x29701,x29702)+~P15(x29701,x29703)
% 201.36/201.12 [2971]P15(x29713,x29712)+~E(x29711,x29712)+~P15(x29713,x29711)
% 201.36/201.12 [2972]P55(x29722,x29723)+~E(x29721,x29722)+~P55(x29721,x29723)
% 201.36/201.12 [2973]P55(x29733,x29732)+~E(x29731,x29732)+~P55(x29733,x29731)
% 201.36/201.12 [2974]~P38(x29741)+P38(x29742)+~E(x29741,x29742)
% 201.36/201.12 [2975]~P121(x29751)+P121(x29752)+~E(x29751,x29752)
% 201.36/201.12 [2976]P44(x29762,x29763,x29764,x29765,x29766,x29767)+~E(x29761,x29762)+~P44(x29761,x29763,x29764,x29765,x29766,x29767)
% 201.36/201.12 [2977]P44(x29773,x29772,x29774,x29775,x29776,x29777)+~E(x29771,x29772)+~P44(x29773,x29771,x29774,x29775,x29776,x29777)
% 201.36/201.12 [2978]P44(x29783,x29784,x29782,x29785,x29786,x29787)+~E(x29781,x29782)+~P44(x29783,x29784,x29781,x29785,x29786,x29787)
% 201.36/201.12 [2979]P44(x29793,x29794,x29795,x29792,x29796,x29797)+~E(x29791,x29792)+~P44(x29793,x29794,x29795,x29791,x29796,x29797)
% 201.36/201.12 [2980]P44(x29803,x29804,x29805,x29806,x29802,x29807)+~E(x29801,x29802)+~P44(x29803,x29804,x29805,x29806,x29801,x29807)
% 201.36/201.12 [2981]P44(x29813,x29814,x29815,x29816,x29817,x29812)+~E(x29811,x29812)+~P44(x29813,x29814,x29815,x29816,x29817,x29811)
% 201.36/201.12 [2982]P41(x29822,x29823)+~E(x29821,x29822)+~P41(x29821,x29823)
% 201.36/201.12 [2983]P41(x29833,x29832)+~E(x29831,x29832)+~P41(x29833,x29831)
% 201.36/201.12 [2984]P61(x29842,x29843)+~E(x29841,x29842)+~P61(x29841,x29843)
% 201.36/201.12 [2985]P61(x29853,x29852)+~E(x29851,x29852)+~P61(x29853,x29851)
% 201.36/201.12 [2986]P18(x29862,x29863,x29864)+~E(x29861,x29862)+~P18(x29861,x29863,x29864)
% 201.36/201.12 [2987]P18(x29873,x29872,x29874)+~E(x29871,x29872)+~P18(x29873,x29871,x29874)
% 201.36/201.12 [2988]P18(x29883,x29884,x29882)+~E(x29881,x29882)+~P18(x29883,x29884,x29881)
% 201.36/201.12 [2989]P32(x29892,x29893,x29894)+~E(x29891,x29892)+~P32(x29891,x29893,x29894)
% 201.36/201.12 [2990]P32(x29903,x29902,x29904)+~E(x29901,x29902)+~P32(x29903,x29901,x29904)
% 201.36/201.12 [2991]P32(x29913,x29914,x29912)+~E(x29911,x29912)+~P32(x29913,x29914,x29911)
% 201.36/201.12 [2992]~P135(x29921)+P135(x29922)+~E(x29921,x29922)
% 201.36/201.12 [2993]P49(x29932,x29933,x29934)+~E(x29931,x29932)+~P49(x29931,x29933,x29934)
% 201.36/201.12 [2994]P49(x29943,x29942,x29944)+~E(x29941,x29942)+~P49(x29943,x29941,x29944)
% 201.36/201.12 [2995]P49(x29953,x29954,x29952)+~E(x29951,x29952)+~P49(x29953,x29954,x29951)
% 201.36/201.12 [2996]~P148(x29961)+P148(x29962)+~E(x29961,x29962)
% 201.36/201.12 [2997]~P100(x29971)+P100(x29972)+~E(x29971,x29972)
% 201.36/201.12 [2998]~P106(x29981)+P106(x29982)+~E(x29981,x29982)
% 201.36/201.12 [2999]P50(x29992,x29993,x29994)+~E(x29991,x29992)+~P50(x29991,x29993,x29994)
% 201.36/201.12 [3000]P50(x30003,x30002,x30004)+~E(x30001,x30002)+~P50(x30003,x30001,x30004)
% 201.36/201.12 [3001]P50(x30013,x30014,x30012)+~E(x30011,x30012)+~P50(x30013,x30014,x30011)
% 201.36/201.12 [3002]~P75(x30021)+P75(x30022)+~E(x30021,x30022)
% 201.36/201.12 [3003]P10(x30032,x30033,x30034,x30035,x30036)+~E(x30031,x30032)+~P10(x30031,x30033,x30034,x30035,x30036)
% 201.36/201.12 [3004]P10(x30043,x30042,x30044,x30045,x30046)+~E(x30041,x30042)+~P10(x30043,x30041,x30044,x30045,x30046)
% 201.36/201.12 [3005]P10(x30053,x30054,x30052,x30055,x30056)+~E(x30051,x30052)+~P10(x30053,x30054,x30051,x30055,x30056)
% 201.36/201.12 [3006]P10(x30063,x30064,x30065,x30062,x30066)+~E(x30061,x30062)+~P10(x30063,x30064,x30065,x30061,x30066)
% 201.36/201.12 [3007]P10(x30073,x30074,x30075,x30076,x30072)+~E(x30071,x30072)+~P10(x30073,x30074,x30075,x30076,x30071)
% 201.36/201.12 [3008]P23(x30082,x30083,x30084,x30085,x30086,x30087)+~E(x30081,x30082)+~P23(x30081,x30083,x30084,x30085,x30086,x30087)
% 201.36/201.12 [3009]P23(x30093,x30092,x30094,x30095,x30096,x30097)+~E(x30091,x30092)+~P23(x30093,x30091,x30094,x30095,x30096,x30097)
% 201.36/201.12 [3010]P23(x30103,x30104,x30102,x30105,x30106,x30107)+~E(x30101,x30102)+~P23(x30103,x30104,x30101,x30105,x30106,x30107)
% 201.36/201.12 [3011]P23(x30113,x30114,x30115,x30112,x30116,x30117)+~E(x30111,x30112)+~P23(x30113,x30114,x30115,x30111,x30116,x30117)
% 201.36/201.12 [3012]P23(x30123,x30124,x30125,x30126,x30122,x30127)+~E(x30121,x30122)+~P23(x30123,x30124,x30125,x30126,x30121,x30127)
% 201.36/201.12 [3013]P23(x30133,x30134,x30135,x30136,x30137,x30132)+~E(x30131,x30132)+~P23(x30133,x30134,x30135,x30136,x30137,x30131)
% 201.36/201.12 [3014]~P119(x30141)+P119(x30142)+~E(x30141,x30142)
% 201.36/201.12 [3015]~P125(x30151)+P125(x30152)+~E(x30151,x30152)
% 201.36/201.12 [3016]P21(x30162,x30163,x30164,x30165,x30166)+~E(x30161,x30162)+~P21(x30161,x30163,x30164,x30165,x30166)
% 201.36/201.12 [3017]P21(x30173,x30172,x30174,x30175,x30176)+~E(x30171,x30172)+~P21(x30173,x30171,x30174,x30175,x30176)
% 201.36/201.12 [3018]P21(x30183,x30184,x30182,x30185,x30186)+~E(x30181,x30182)+~P21(x30183,x30184,x30181,x30185,x30186)
% 201.36/201.12 [3019]P21(x30193,x30194,x30195,x30192,x30196)+~E(x30191,x30192)+~P21(x30193,x30194,x30195,x30191,x30196)
% 201.36/201.12 [3020]P21(x30203,x30204,x30205,x30206,x30202)+~E(x30201,x30202)+~P21(x30203,x30204,x30205,x30206,x30201)
% 201.36/201.12 [3021]P43(x30212,x30213,x30214,x30215)+~E(x30211,x30212)+~P43(x30211,x30213,x30214,x30215)
% 201.36/201.12 [3022]P43(x30223,x30222,x30224,x30225)+~E(x30221,x30222)+~P43(x30223,x30221,x30224,x30225)
% 201.36/201.12 [3023]P43(x30233,x30234,x30232,x30235)+~E(x30231,x30232)+~P43(x30233,x30234,x30231,x30235)
% 201.36/201.12 [3024]P43(x30243,x30244,x30245,x30242)+~E(x30241,x30242)+~P43(x30243,x30244,x30245,x30241)
% 201.36/201.12 [3025]~P47(x30251)+P47(x30252)+~E(x30251,x30252)
% 201.36/201.12 [3026]~P79(x30261)+P79(x30262)+~E(x30261,x30262)
% 201.36/201.12 [3027]~P126(x30271)+P126(x30272)+~E(x30271,x30272)
% 201.36/201.12 [3028]~P118(x30281)+P118(x30282)+~E(x30281,x30282)
% 201.36/201.12 [3029]P30(x30292,x30293,x30294)+~E(x30291,x30292)+~P30(x30291,x30293,x30294)
% 201.36/201.12 [3030]P30(x30303,x30302,x30304)+~E(x30301,x30302)+~P30(x30303,x30301,x30304)
% 201.36/201.12 [3031]P30(x30313,x30314,x30312)+~E(x30311,x30312)+~P30(x30313,x30314,x30311)
% 201.36/201.12
% 201.36/201.12 %-------------------------------------------
% 201.36/201.17 cnf(10387,plain,
% 201.36/201.17 (~E(f315(a101,x103871),x103871)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10397,plain,
% 201.36/201.17 (~E(f315(a101,x103971),x103971)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10410,plain,
% 201.36/201.17 (~E(f315(a101,x104101),x104101)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10415,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x104151),f102(x104151)),x104152))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10418,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x104181),f102(x104181)),x104182))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10421,plain,
% 201.36/201.17 (~E(f315(a101,x104211),x104211)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10424,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x104241),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10427,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x104271),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10444,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x104441)),x104441))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(10447,plain,
% 201.36/201.17 (~E(f315(f315(f140(x104471),x104472),x104473),x104473)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(10453,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x104531),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10456,plain,
% 201.36/201.17 (E(f315(f272(x104561,x104561),f251(x104561,x104562)),x104562)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(10459,plain,
% 201.36/201.17 (E(f315(f272(x104591,x104591),f251(x104591,x104592)),x104592)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(10464,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x104641),x104641))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(10469,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x104691),x104692)),x104692))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(10472,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x104721),x104722)),x104722))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(10479,plain,
% 201.36/201.17 (~E(x104791,f315(a101,x104791))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,3223,3387,10456,3263,3324,3259,3286,3270,4580,3493,3410,4604,10424,10427,4601,4575,4607,10415,4600,4608,4233,4605,3403,4593,4624,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241])).
% 201.36/201.17 cnf(10493,plain,
% 201.36/201.17 (~E(f315(a101,x104931),x104931)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10496,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x104961),x104961))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(10499,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f38(a893,x104991,x104992)),x104991))),
% 201.36/201.17 inference(rename_variables,[],[3875])).
% 201.36/201.17 cnf(10520,plain,
% 201.36/201.17 (E(f315(f28(a893),f315(f270(a893),x105201)),x105201)),
% 201.36/201.17 inference(rename_variables,[],[3321])).
% 201.36/201.17 cnf(10528,plain,
% 201.36/201.17 (~E(f315(a101,x105281),x105281)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10531,plain,
% 201.36/201.17 (~E(f315(a101,x105311),x105311)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10534,plain,
% 201.36/201.17 (~E(f315(a101,x105341),x105341)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10536,plain,
% 201.36/201.17 (P107(f315(a182,a86))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,3223,3387,10456,3263,3324,3259,3286,3270,3357,4580,3321,4628,3342,3493,3410,4604,10424,10427,4000,3429,4601,4575,4607,10415,4600,10464,10496,3518,3936,3875,4608,10444,4233,4605,4592,3403,4593,4624,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381])).
% 201.36/201.17 cnf(10539,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x105391),f315(a101,x105391)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10548,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x105481),x105481))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10555,plain,
% 201.36/201.17 (E(f315(f272(x105551,x105551),f251(x105551,x105552)),x105552)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(10558,plain,
% 201.36/201.17 (E(f315(f272(x105581,x105581),f251(x105581,x105582)),x105582)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(10575,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x105751),x105751))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(10580,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x105801),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10583,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x105831,a891)),x105832),f230(f901(x105831,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(10588,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x105881),f102(x105881)),x105882))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10594,plain,
% 201.36/201.17 (E(f315(f315(f73(a893),x105941),f574(x105941,x105941)),x105941)),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,3223,3387,10456,10459,10555,3263,3324,3259,3286,3270,3357,4580,3321,4192,4628,3342,3493,10539,3410,4604,10424,10427,10453,3857,4000,3455,3429,4601,4575,4607,10415,10418,4142,3801,3426,10548,3427,4600,10464,10496,3518,3936,3875,10499,4608,10444,4233,4605,4592,3403,4593,4624,3898,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528])).
% 201.36/201.17 cnf(10617,plain,
% 201.36/201.17 (~E(f315(f315(f140(x106171),x106172),x106173),x106173)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(10620,plain,
% 201.36/201.17 (~E(f315(a101,x106201),f2(a893))),
% 201.36/201.17 inference(rename_variables,[],[4573])).
% 201.36/201.17 cnf(10631,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x106311),x106311))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(10636,plain,
% 201.36/201.17 (~E(f315(a101,x106361),x106361)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10639,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x106391,f901(x106392,a891))),x106393),x106394))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(10646,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x106461),x106461))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10659,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x106591),f315(a101,x106591)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10680,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x106801,a891)),x106802),f230(f901(x106801,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(10683,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x106831),f102(x106831)),x106832))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10702,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107021),f102(x107021)),x107022))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10709,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107091),f102(x107091)),x107092))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10717,plain,
% 201.36/201.17 (E(f315(f315(f232(a893),f315(f92(a893),a86)),x107171),f315(f315(f232(a893),f2(a893)),x107171))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,4573,3223,3387,10456,10459,10555,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,4192,4628,3342,3783,3493,10539,10659,3410,4604,10424,10427,10453,10580,4615,3857,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,4142,3801,10583,3426,10548,10646,3427,10575,4600,10464,10496,3518,3936,3875,10499,4608,10444,4233,4605,4592,3403,3407,4594,4593,4624,4626,3898,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911])).
% 201.36/201.17 cnf(10720,plain,
% 201.36/201.17 (~E(f315(a101,x107201),f2(a893))),
% 201.36/201.17 inference(rename_variables,[],[4573])).
% 201.36/201.17 cnf(10725,plain,
% 201.36/201.17 (P107(f315(f315(f317(x107251),x107252),f230(f901(x107251,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(10729,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),f2(a893)),f315(a93,f71(a1))))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,4573,10620,3223,3387,10456,10459,10555,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,4192,4628,3342,3783,3493,10539,10659,3410,4604,10424,10427,10453,10580,4615,3857,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,4142,3801,10583,3426,10548,10646,3427,10575,4600,10464,10496,3576,3518,3936,3875,10499,4608,10444,4233,4605,4592,3403,3407,4594,4593,4624,4626,3898,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979])).
% 201.36/201.17 cnf(10732,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107321),f102(x107321)),x107322))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10737,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x107371),f315(a101,x107371)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10740,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107401),f102(x107401)),x107402))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10743,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107431),f102(x107431)),x107432))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10746,plain,
% 201.36/201.17 (~P107(f315(f55(x107461,x107462,f177(f901(x107461,a891))),x107463))),
% 201.36/201.17 inference(rename_variables,[],[4621])).
% 201.36/201.17 cnf(10749,plain,
% 201.36/201.17 (~P107(f315(f55(x107491,x107492,f177(f901(x107491,a891))),x107493))),
% 201.36/201.17 inference(rename_variables,[],[4621])).
% 201.36/201.17 cnf(10752,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x107521,f901(x107522,a891))),x107523),x107524))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(10755,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x107551),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10760,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x107601),f102(x107601)),x107602))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10770,plain,
% 201.36/201.17 (~E(f315(f157(x107701),f315(a101,f315(f315(f123(x107701),f315(f157(x107701),x107702)),f315(f315(f140(x107701),x107703),f102(x107701))))),f315(f315(f140(x107701),x107703),x107702))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,4192,4628,3342,3783,3493,10539,10659,10737,3410,4604,10424,10427,10453,10580,4615,3857,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,3427,10575,4600,10464,10496,3576,3518,3936,3875,10499,4608,10444,4233,4605,4592,3403,3407,4594,4593,4621,10746,4624,4626,10639,3898,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094])).
% 201.36/201.17 cnf(10771,plain,
% 201.36/201.17 (~E(f315(a101,x107711),x107711)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(10789,plain,
% 201.36/201.17 (P107(f315(f315(f224(a88),f315(a5,x107891)),f315(a5,f315(a101,x107891))))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,4192,4628,3342,3783,3493,10539,10659,10737,3870,3410,4604,10424,10427,10453,10580,4615,3857,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,3427,10575,4600,10464,10496,3576,3518,3936,3875,10499,4608,10444,4233,4605,4592,3403,3407,4594,4593,4621,10746,4624,4626,10639,3898,4622,10469,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178])).
% 201.36/201.17 cnf(10796,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x107961),x107961))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10799,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x107991),f315(f315(f74(a893),x107991),x107991)))),
% 201.36/201.17 inference(rename_variables,[],[3683])).
% 201.36/201.17 cnf(10802,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x108021),f315(f315(f74(a893),x108021),x108021)))),
% 201.36/201.17 inference(rename_variables,[],[3683])).
% 201.36/201.17 cnf(10805,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x108051),f315(a101,f315(f315(f73(a893),x108052),x108051))))),
% 201.36/201.17 inference(rename_variables,[],[3868])).
% 201.36/201.17 cnf(10810,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x108101),f315(a101,x108101)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10813,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x108131),f315(a101,x108131)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10816,plain,
% 201.36/201.17 (P107(f315(f315(f317(x108161),x108162),f230(f901(x108161,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(10835,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x108351)),x108351))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(10838,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x108381)),x108381))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(10841,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x108411),x108412)),x108412))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(10844,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x108441),x108442)),x108442))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(10847,plain,
% 201.36/201.17 (P107(f315(f230(f901(x108471,a891)),x108472))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(10850,plain,
% 201.36/201.17 (E(f315(f28(a893),f315(f270(a893),x108501)),x108501)),
% 201.36/201.17 inference(rename_variables,[],[3321])).
% 201.36/201.17 cnf(10853,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x108531),f315(a101,x108531)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10860,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x108601),x108601))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10865,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x108651),x108651))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(10874,plain,
% 201.36/201.17 (E(f315(f272(x108741,x108741),f251(x108741,x108742)),x108742)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(10877,plain,
% 201.36/201.17 (P107(f315(f230(f901(x108771,a891)),x108772))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(10880,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x108801))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(10883,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x108831,a891)),f177(f901(x108831,a891))),x108832))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(10886,plain,
% 201.36/201.17 (P107(f315(f230(f901(x108861,a891)),x108862))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(10889,plain,
% 201.36/201.17 (P107(f315(f230(f901(x108891,a891)),x108892))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(10892,plain,
% 201.36/201.17 (P107(f315(f230(f901(x108921,a891)),x108922))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(10894,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(f315(f74(a893),f315(a101,x108941)),f315(a101,x108941))),x108941))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,3870,3410,4604,10424,10427,10453,10580,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,10796,3427,10575,10631,4600,10464,10496,3576,10725,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,3447,4233,4605,4592,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424])).
% 201.36/201.17 cnf(10895,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x108951),f315(f315(f74(a893),x108951),x108951)))),
% 201.36/201.17 inference(rename_variables,[],[3683])).
% 201.36/201.17 cnf(10899,plain,
% 201.36/201.17 (E(f315(f157(x108991),f162(x108992,f315(f315(f123(x108991),f315(f157(x108991),x108993)),f315(f315(f140(x108991),x108994),f102(x108991))),f102(x108992))),f315(f315(f140(x108991),x108994),x108993))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,3870,3410,4604,10424,10427,10453,10580,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,10796,3427,10575,10631,4600,10464,10496,3576,10725,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,3447,4233,4605,4592,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463])).
% 201.36/201.17 cnf(10904,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,f315(a101,f315(f315(f73(a893),x109041),x109042)))),f315(a101,x109042)))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,10853,3870,3410,4604,10424,10427,10453,10580,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,10796,3427,10575,10631,4600,10464,10496,3576,10725,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,3447,4233,4605,4592,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467])).
% 201.36/201.17 cnf(10912,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a88),f315(a5,x109121)),f315(a5,f2(a893))))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,10853,3870,3410,4604,10424,10427,10453,10580,10755,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,4142,3801,10583,3426,10548,10646,10796,3427,10575,10631,4600,10464,10496,3576,10725,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,4233,4605,4592,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472])).
% 201.36/201.17 cnf(10935,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x109351),x109351))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10946,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x109461),f102(x109461)),x109462))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(10953,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x109531),f315(a101,x109531)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(10955,plain,
% 201.36/201.17 (P107(f315(f315(f224(a1),f315(f315(f3(a1),x109551),f71(a1))),x109551))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4052,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,10853,3870,3410,4604,10424,10427,10453,10580,10755,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4142,3801,10583,3426,10548,10646,10796,10860,10935,3427,10575,10631,10865,4600,10464,10496,3576,10725,4611,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,4233,4605,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740])).
% 201.36/201.17 cnf(10956,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x109561),x109561))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(10961,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x109611),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10976,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x109761),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(10979,plain,
% 201.36/201.17 (~P107(f315(f315(f224(f901(x109791,a891)),x109792),f177(f901(x109791,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4619])).
% 201.36/201.17 cnf(10982,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x109821),x109821))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10985,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x109851),x109851))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(10999,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x109991),f315(f315(f3(a893),x109991),x109992)))),
% 201.36/201.17 inference(scs_inference,[],[4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3357,4580,10447,3321,10520,4192,4052,4628,3342,3783,3720,3493,10539,10659,10737,10810,10813,10853,3870,3410,4604,10424,10427,10453,10580,10755,10961,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,3427,10575,10631,10865,3428,4600,10464,10496,3576,10725,4611,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,4233,4605,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,4624,4626,10639,3898,4622,10469,10472,10841,3868,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906])).
% 201.36/201.17 cnf(11000,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x110001),x110001))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(11009,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x110091),x110092),f177(f901(x110091,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11016,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x110161),x110161))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11019,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x110191,a891)),f315(f298(x110192,x110191,x110193),f315(f299(x110192,x110191,x110193),x110194))),x110194))),
% 201.36/201.17 inference(rename_variables,[],[4288])).
% 201.36/201.17 cnf(11028,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x110281,a891)),f315(f161(x110281),f315(f125(x110281,x110282),x110283))),f315(f161(x110281),x110283)))),
% 201.36/201.17 inference(rename_variables,[],[4061])).
% 201.36/201.17 cnf(11031,plain,
% 201.36/201.17 (E(f315(f298(x110311,x110311,f7(x110311)),x110312),x110312)),
% 201.36/201.17 inference(rename_variables,[],[3482])).
% 201.36/201.17 cnf(11038,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x110381))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(11041,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x110411),x110411))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11044,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x110441),x110441))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(11053,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x110531),x110531))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(11064,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x110641),f315(f315(f74(a893),x110641),x110641)))),
% 201.36/201.17 inference(rename_variables,[],[3683])).
% 201.36/201.17 cnf(11070,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x110701),f315(a101,f315(f315(f73(a893),x110702),x110701))))),
% 201.36/201.17 inference(rename_variables,[],[3868])).
% 201.36/201.17 cnf(11077,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x110771),x110771))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11080,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x110801),x110801))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(11083,plain,
% 201.36/201.17 (~E(f315(a101,x110831),x110831)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11087,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x110871,x110871)),x110872),f295(x110871,f230(f901(f900(x110871,x110871),a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,4611,11009,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,4233,4605,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568])).
% 201.36/201.17 cnf(11088,plain,
% 201.36/201.17 (P107(f315(f315(f317(x110881),x110882),f230(f901(x110881,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11093,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x110931),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(11095,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x110951,a891)),x110952),f30(f901(x110951,a891),f315(f296(x110951),x110952))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,4611,11009,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,4233,4605,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620])).
% 201.36/201.17 cnf(11108,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x111081))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(11115,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x111151),x111151))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11124,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x111241),x111242),f177(f901(x111241,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11126,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x111261,a891)),f31(f901(x111261,a891),f315(f296(x111261),x111262))),x111262))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896])).
% 201.36/201.17 cnf(11128,plain,
% 201.36/201.17 (E(f315(f315(f90(f901(x111281,a891)),f315(f315(f90(f901(x111281,a891)),x111282),f315(f72(f901(x111281,a891)),x111283))),x111283),f177(f901(x111281,a891)))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898])).
% 201.36/201.17 cnf(11131,plain,
% 201.36/201.17 (P107(f315(f315(f317(f894(x111311)),x111312),f150(x111311,f230(f901(x111311,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908])).
% 201.36/201.17 cnf(11132,plain,
% 201.36/201.17 (P107(f315(f315(f317(x111321),x111322),f230(f901(x111321,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11135,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x111351),f894(x111351))),f315(f315(f240(f894(x111351),f894(x111351)),x111352),f102(x111351))),f134(x111351,x111353)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11141,plain,
% 201.36/201.17 (P33(x111411,f315(f275(a893),f315(a101,f2(a893))),x111412)),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,11124,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009])).
% 201.36/201.17 cnf(11144,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x111441,x111441)),x111442),f251(x111441,f177(f901(x111441,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,11124,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042])).
% 201.36/201.17 cnf(11145,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x111451),x111452),f177(f901(x111451,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11147,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x111471),x111472),f315(f299(x111471,x111473,x111474),f177(f901(x111473,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,11124,11145,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3867,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073])).
% 201.36/201.17 cnf(11148,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x111481),x111482),f177(f901(x111481,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11151,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x111511,a891)),x111512),f315(f315(f297(x111511),x111513),x111512)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(11154,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x111541),x111541))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11157,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x111571,a891)),x111572),f315(f315(f297(x111571),x111573),x111572)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(11160,plain,
% 201.36/201.17 (E(f315(f298(x111601,x111601,f7(x111601)),x111602),x111602)),
% 201.36/201.17 inference(rename_variables,[],[3482])).
% 201.36/201.17 cnf(11162,plain,
% 201.36/201.17 (P36(x111621,x111622,x111623,f103(x111621,f102(x111621)),f102(x111622))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,3223,3273,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,11031,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,4611,11009,11124,11145,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,3865,11151,3867,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179])).
% 201.36/201.17 cnf(11175,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x111751,a891)),x111752),f315(f315(f297(x111751),x111753),x111752)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(11186,plain,
% 201.36/201.17 (~E(f315(a101,x111861),f2(a893))),
% 201.36/201.17 inference(rename_variables,[],[4573])).
% 201.36/201.17 cnf(11189,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x111891),f102(x111891)),x111892))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(11193,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),f315(a101,x111931)),x111931)),f295(a893,a305)))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,4573,10620,10720,3223,3273,3387,10456,10459,10555,10558,3364,3263,3324,3259,3286,3270,3889,3482,11031,3357,4580,10447,3321,10520,4192,4052,4628,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,3784,4142,3801,10583,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,4018,3865,11151,11157,3867,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500])).
% 201.36/201.17 cnf(11202,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x112021),f315(a101,x112021)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(11212,plain,
% 201.36/201.17 (~E(f315(f298(x112121,f901(x112121,a891),x112122),x112123),f315(f296(x112121),x112123))),
% 201.36/201.17 inference(rename_variables,[],[4609])).
% 201.36/201.17 cnf(11215,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x112151),x112152),f177(f901(x112151,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11218,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x112181),x112182),f177(f901(x112181,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11221,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x112211,x112211)),f315(f315(f240(x112211,x112211),x112212),x112213)),f142(x112211,f102(f901(x112211,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11224,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x112241,x112241)),f315(f315(f240(x112241,x112241),x112242),x112243)),f142(x112241,f102(f901(x112241,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11229,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x112291),x112292),f177(f901(x112291,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11232,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x112321,x112321)),f315(f315(f240(x112321,x112321),x112322),x112322)),f295(x112321,x112323)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(11235,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x112351,a891)),x112352),f230(f901(x112351,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(11238,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x112381,a891)),f315(f161(x112381),f165(x112381,x112382,x112383))),f315(f161(x112381),x112382)))),
% 201.36/201.17 inference(rename_variables,[],[4108])).
% 201.36/201.17 cnf(11254,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x112541,a891)),f177(f901(x112541,a891))),x112542))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(11265,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x112651),f894(x112651))),f315(f315(f240(f894(x112651),f894(x112651)),x112652),f102(x112651))),f136(x112651,x112653)))),
% 201.36/201.17 inference(rename_variables,[],[4629])).
% 201.36/201.17 cnf(11276,plain,
% 201.36/201.17 (~E(f315(a101,x112761),x112761)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11279,plain,
% 201.36/201.17 (~E(f315(a101,x112791),x112791)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11283,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x112831),f894(x112831))),f315(f315(f240(f894(x112831),f894(x112831)),f102(x112831)),f102(x112831))),f315(f315(f277(f894(x112831),f894(x112831),f894(x112831)),f147(x112831,x112832)),f295(f894(x112831),f147(x112831,x112832)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,4573,10620,10720,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,4609,3321,10520,4192,4052,11232,4628,11135,4629,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,11148,11215,11218,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728])).
% 201.36/201.17 cnf(11286,plain,
% 201.36/201.17 (~E(f315(a101,x112861),f2(a893))),
% 201.36/201.17 inference(rename_variables,[],[4573])).
% 201.36/201.17 cnf(11289,plain,
% 201.36/201.17 (~E(f315(f315(f140(x112891),x112892),x112893),x112893)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(11291,plain,
% 201.36/201.17 (E(f315(x112911,f315(f84(x112912,x112913,f230(f901(x112912,a891)),x112911),f315(x112911,x112914))),f315(x112911,x112914))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,3321,10520,4192,4052,11232,4628,11135,4629,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,11148,11215,11218,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743])).
% 201.36/201.17 cnf(11294,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x112941,a891)),x112942),x112942))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(11301,plain,
% 201.36/201.17 (~E(f315(a101,x113011),x113011)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11304,plain,
% 201.36/201.17 (~E(f315(a101,x113041),x113041)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11306,plain,
% 201.36/201.17 (~P27(x113061,f901(x113061,a891),x113062,x113063,f315(f296(x113061),x113063))),
% 201.36/201.17 inference(scs_inference,[],[4625,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3321,10520,4192,4052,11232,4628,11135,4629,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,11148,11215,11218,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782])).
% 201.36/201.17 cnf(11309,plain,
% 201.36/201.17 (P26(x113091,x113091,f7(x113091),x113092)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(11314,plain,
% 201.36/201.17 (~E(f315(f298(x113141,f901(x113141,a891),x113142),x113143),f315(f296(x113141),x113143))),
% 201.36/201.17 inference(rename_variables,[],[4609])).
% 201.36/201.17 cnf(11319,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x113191,a891)),x113192),f230(f901(x113191,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(11335,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x113351),x113352),f177(f901(x113351,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11338,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x113381)),x113381))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11343,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x113431),x113432),f177(f901(x113431,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11353,plain,
% 201.36/201.17 (~P107(f315(f315(f317(a893),f315(a101,f315(f131(a893,a893,f73(a893),f2(a893)),x113531))),f315(f161(a893),x113531)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,4629,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,11148,11215,11218,11229,11335,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966])).
% 201.36/201.17 cnf(11354,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x113541)),x113541))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11357,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x113571),x113572),f177(f901(x113571,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11363,plain,
% 201.36/201.17 (E(f315(f125(x113631,f230(f901(x113632,a891))),f719(x113633,x113634,f315(f315(f140(x113631),x113634),x113633),f230(f901(x113632,a891)),x113631)),x113633)),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,4629,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,4619,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043])).
% 201.36/201.17 cnf(11366,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x113661,x113661)),f315(f315(f240(x113661,x113661),x113662),x113662)),f295(x113661,x113663)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(11369,plain,
% 201.36/201.17 (P107(f315(f315(f317(x113691),x113692),f230(f901(x113691,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11372,plain,
% 201.36/201.17 (P107(f315(f315(f317(x113721),x113722),f230(f901(x113721,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11379,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x113791),f894(x113791))),f315(f315(f240(f894(x113791),f894(x113791)),x113792),f102(x113791))),f134(x113791,x113793)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11382,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x113821),f894(x113821))),f315(f315(f240(f894(x113821),f894(x113821)),x113822),f102(x113821))),f136(x113821,x113823)))),
% 201.36/201.17 inference(rename_variables,[],[4629])).
% 201.36/201.17 cnf(11385,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x113851),f894(x113851))),f315(f315(f240(f894(x113851),f894(x113851)),x113852),f102(x113851))),f146(x113851,x113853)))),
% 201.36/201.17 inference(rename_variables,[],[4630])).
% 201.36/201.17 cnf(11390,plain,
% 201.36/201.17 (~P107(f315(f315(f224(f901(x113901,a891)),x113902),f177(f901(x113901,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4619])).
% 201.36/201.17 cnf(11392,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x113921),x113922),f315(f298(x113923,x113921,x113924),f177(f901(x113923,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205])).
% 201.36/201.17 cnf(11393,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x113931),x113932),f177(f901(x113931,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11397,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x113971,a891)),x113972),f315(f315(f99(f901(x113971,a891)),x113973),f230(f901(x113971,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234])).
% 201.36/201.17 cnf(11398,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x113981,a891)),x113982),f230(f901(x113981,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(11404,plain,
% 201.36/201.17 (~P107(f315(f315(f243(x114041,x114042,a891,f315(f161(x114043),f102(x114043))),x114044),x114045))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,4018,3865,11151,11157,3716,3867,10883,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344])).
% 201.36/201.17 cnf(11405,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x114051),f102(x114051)),x114052))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(11410,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x114101),x114102),f177(f901(x114101,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11413,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x114131,x114131)),f315(f315(f240(x114131,x114131),x114132),x114133)),f142(x114131,f102(f901(x114131,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11416,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114161,a891)),x114162),x114162))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(11419,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x114191),x114192),f177(f901(x114191,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11421,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114211,a891)),f315(f273(x114212,x114211,f177(f901(f900(x114212,x114211),a891))),x114213)),x114214))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411])).
% 201.36/201.17 cnf(11422,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114221,a891)),f177(f901(x114221,a891))),x114222))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(11425,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x114251,x114251)),f315(f315(f240(x114251,x114251),x114252),x114252)),f295(x114251,x114253)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(11427,plain,
% 201.36/201.17 (~P36(x114271,x114272,x114273,f315(f315(f143(x114274,x114271),x114275),f315(a101,f102(x114274))),f102(x114272))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419])).
% 201.36/201.17 cnf(11431,plain,
% 201.36/201.17 (P36(x114311,x114312,x114313,f315(f315(f143(x114314,x114311),x114315),f103(x114314,f102(x114314))),f102(x114312))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,4630,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442])).
% 201.36/201.17 cnf(11436,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x114361),f894(x114361))),f315(f315(f240(f894(x114361),f894(x114361)),x114362),f102(x114361))),f146(x114361,x114363)))),
% 201.36/201.17 inference(rename_variables,[],[4630])).
% 201.36/201.17 cnf(11443,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x114431),f894(x114431))),f315(f315(f240(f894(x114431),f894(x114431)),f102(x114431)),x114432)),f134(x114431,x114433)))),
% 201.36/201.17 inference(rename_variables,[],[4631])).
% 201.36/201.17 cnf(11448,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f901(x114481,a891),f901(x114481,a891))),f315(f315(f240(f901(x114481,a891),f901(x114481,a891)),x114482),f177(f901(x114481,a891)))),f302(x114481)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,4630,11385,4631,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580])).
% 201.36/201.17 cnf(11451,plain,
% 201.36/201.17 (P107(f315(f315(f317(x114511),x114512),f230(f901(x114511,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11456,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114561,a891)),f177(f901(x114561,a891))),x114562))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(11459,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x114591),x114592),f177(f901(x114591,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11462,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114621,a891)),x114622),f230(f901(x114621,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(11466,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114661,a891)),f315(f273(x114662,x114661,x114663),f177(f901(x114662,a891)))),x114664))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,4630,11385,4631,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689])).
% 201.36/201.17 cnf(11467,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x114671,a891)),f177(f901(x114671,a891))),x114672))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(11469,plain,
% 201.36/201.17 (~P107(f315(f59(a893,x114691,x114692,x114693,f230(f901(a893,a891))),x114694))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,4630,11385,4631,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,3486,10847,10877,10886,10889,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710])).
% 201.36/201.17 cnf(11480,plain,
% 201.36/201.17 (P107(f315(f230(f901(x114801,a891)),x114802))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(11488,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x114881),f894(x114881))),f315(f315(f240(f894(x114881),f894(x114881)),x114882),f102(x114881))),f134(x114881,x114883)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11491,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x114911),f894(x114911))),f315(f315(f240(f894(x114911),f894(x114911)),x114912),f102(x114911))),f136(x114911,x114913)))),
% 201.36/201.17 inference(rename_variables,[],[4629])).
% 201.36/201.17 cnf(11494,plain,
% 201.36/201.17 (~E(f315(f315(f140(x114941),x114942),x114943),x114943)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(11497,plain,
% 201.36/201.17 (~E(f315(a101,x114971),x114971)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11499,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x114991),x114992),f315(f273(x114993,x114991,x114994),f177(f901(x114993,a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,4629,11265,11382,4630,11385,4631,11443,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826])).
% 201.36/201.17 cnf(11500,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115001),x115002),f177(f901(x115001,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11505,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115051),x115052),f177(f901(x115051,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11508,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115081),x115082),f177(f901(x115081,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11511,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x115111),f894(x115111))),f315(f315(f240(f894(x115111),f894(x115111)),x115112),x115112)),f147(x115111,f295(x115111,x115113))))),
% 201.36/201.17 inference(rename_variables,[],[4185])).
% 201.36/201.17 cnf(11514,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x115141),f894(x115141))),f315(f315(f240(f894(x115141),f894(x115141)),x115142),f102(x115141))),f134(x115141,x115143)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11518,plain,
% 201.36/201.17 (E(f315(f315(f140(x115181),f629(f295(x115181,x115182),f315(f315(f140(x115181),x115183),x115184),x115184,x115183,x115181)),f634(f295(x115181,x115182),f315(f315(f140(x115181),x115183),x115184),x115184,x115183,x115181)),f315(f315(f140(x115181),x115183),x115184))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,11488,4629,11265,11382,4630,11385,4631,11443,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4185,11511,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884])).
% 201.36/201.17 cnf(11524,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x115241,x115241)),f315(f315(f240(x115241,x115241),x115242),x115243)),f142(x115241,f102(f901(x115241,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11527,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115271),x115272),f177(f901(x115271,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11530,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115301),x115302),f177(f901(x115301,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11533,plain,
% 201.36/201.17 (P107(f315(f315(f317(x115331),x115332),f230(f901(x115331,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11536,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x115361),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(11541,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x115411,x115411)),f315(f315(f240(x115411,x115411),x115412),x115413)),f142(x115411,f102(f901(x115411,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11550,plain,
% 201.36/201.17 (~E(f315(f298(x115501,f901(x115501,a891),x115502),x115503),f315(f296(x115501),x115503))),
% 201.36/201.17 inference(rename_variables,[],[4609])).
% 201.36/201.17 cnf(11553,plain,
% 201.36/201.17 (~E(f315(f298(x115531,f901(x115531,a891),x115532),x115533),f315(f296(x115531),x115533))),
% 201.36/201.17 inference(rename_variables,[],[4609])).
% 201.36/201.17 cnf(11555,plain,
% 201.36/201.17 (E(f315(f315(f240(a893,a893),f622(f295(a893,a305),a305,a893,f315(f315(f240(a893,a893),x115551),f315(a101,x115551)),a893,a893)),f623(f295(a893,a305),a305,a893,f315(f315(f240(a893,a893),x115551),f315(a101,x115551)),a893,a893)),f315(f315(f240(a893,a893),x115551),f315(a101,x115551)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,3529,3321,10520,4192,4052,11232,11366,4628,11135,11379,11488,4629,11265,11382,4630,11385,4631,11443,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4185,11511,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,11451,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,11413,11524,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071])).
% 201.36/201.17 cnf(11558,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x115581),f894(x115581))),f315(f315(f240(f894(x115581),f894(x115581)),x115582),f102(x115581))),f134(x115581,x115583)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11564,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x115641),f894(x115641))),f315(f315(f240(f894(x115641),f894(x115641)),x115642),f102(x115641))),f134(x115641,x115643)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(11567,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115671),x115672),f177(f901(x115671,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11569,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x115691,x115692)),f315(f315(f240(x115691,x115692),f315(x115693,x115694)),f315(x115695,x115694))),f315(f298(f900(x115696,x115696),f900(x115691,x115692),f246(x115696,x115691,x115696,x115692,x115693,x115695)),f295(x115696,x115697))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,3529,3321,10520,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4185,11511,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,11451,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,11413,11524,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199])).
% 201.36/201.17 cnf(11572,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115721),x115722),f177(f901(x115721,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11575,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115751),x115752),f177(f901(x115751,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11578,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115781),x115782),f177(f901(x115781,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11581,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x115811),x115812),f177(f901(x115811,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11584,plain,
% 201.36/201.17 (P107(f315(f315(f317(x115841),f315(x115842,x115843)),f315(f298(x115844,x115841,x115842),f230(f901(x115844,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(11586,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x115861,x115862)),x115863),f315(f298(f900(x115864,x115864),f900(x115861,x115862),f246(x115864,x115861,x115864,x115862,x115865,x115866)),f142(x115864,f102(f901(x115864,a893))))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,4573,10620,10720,11186,3223,3273,3387,10456,10459,10555,10558,3364,3877,3263,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,3529,3321,10520,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,4604,10424,10427,10453,10580,10755,10961,10976,11093,4615,3857,3629,4000,3453,3455,3429,4601,4575,4185,11511,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,11451,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4621,10746,4627,11221,11224,11413,11524,11541,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371])).
% 201.36/201.17 cnf(11587,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(x115871,x115871)),f315(f315(f240(x115871,x115871),x115872),x115873)),f142(x115871,f102(f901(x115871,a893)))))),
% 201.36/201.17 inference(rename_variables,[],[4627])).
% 201.36/201.17 cnf(11595,plain,
% 201.36/201.17 (E(f103(x115951,f102(x115951)),f102(x115951))),
% 201.36/201.17 inference(rename_variables,[],[3273])).
% 201.36/201.17 cnf(11598,plain,
% 201.36/201.17 (~E(f315(a101,x115981),x115981)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11605,plain,
% 201.36/201.17 (~E(f315(a101,x116051),x116051)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11610,plain,
% 201.36/201.17 (E(f315(f272(x116101,x116101),f251(x116101,x116102)),x116102)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11613,plain,
% 201.36/201.17 (E(f315(f272(x116131,x116131),f251(x116131,x116132)),x116132)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11619,plain,
% 201.36/201.17 (~E(f315(a101,x116191),x116191)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11624,plain,
% 201.36/201.17 (~E(f315(f315(f73(a1),x116241),x116241),a86)),
% 201.36/201.17 inference(rename_variables,[],[4578])).
% 201.36/201.17 cnf(11631,plain,
% 201.36/201.17 (E(f315(f315(f3(a893),f2(a893)),x116311),f2(a893))),
% 201.36/201.17 inference(rename_variables,[],[3343])).
% 201.36/201.17 cnf(11634,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x116341),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(11641,plain,
% 201.36/201.17 (E(f315(f315(f73(a1),f315(f315(f74(a1),x116411),f315(f315(f29(a1),x116412),x116411))),f38(a1,x116412,x116411)),x116412)),
% 201.36/201.17 inference(rename_variables,[],[3968])).
% 201.36/201.17 cnf(11665,plain,
% 201.36/201.17 (~E(f315(a101,x116651),x116651)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11668,plain,
% 201.36/201.17 (~E(f315(a101,x116681),x116681)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11694,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x116941),f102(x116941)),x116942))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(11700,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),f2(a893)),f315(a101,x117001)))),
% 201.36/201.17 inference(rename_variables,[],[3505])).
% 201.36/201.17 cnf(11701,plain,
% 201.36/201.17 (~E(f315(a101,x117011),x117011)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11704,plain,
% 201.36/201.17 (P107(f315(f315(f317(x117041),x117042),f230(f901(x117041,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11716,plain,
% 201.36/201.17 (~E(f315(a101,x117161),x117161)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11719,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x117191),x117191))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(11726,plain,
% 201.36/201.17 (P107(f315(f59(x117261,x117262,x117263,x117264,f177(f901(x117261,a891))),x117264))),
% 201.36/201.17 inference(rename_variables,[],[4327])).
% 201.36/201.17 cnf(11727,plain,
% 201.36/201.17 (E(f315(f272(x117271,x117271),f251(x117271,x117272)),x117272)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11740,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x117401),x117402)),x117402))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(11743,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f89(a1),x117431)),f2(a1)))),
% 201.36/201.17 inference(rename_variables,[],[4615])).
% 201.36/201.17 cnf(11759,plain,
% 201.36/201.17 (~E(f315(f315(f90(a893),f315(a101,x117591)),x117591),f315(a101,x117591))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,3347,4573,10620,10720,11186,3040,3043,3049,3053,3054,3061,3072,3080,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3188,3209,3223,4565,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,3364,3877,3263,3968,11641,3324,3259,3286,3270,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,3505,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,4615,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,11080,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,11451,11533,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,3486,10847,10877,10886,10889,10892,3518,3936,3875,10499,4608,10444,10835,10838,11338,11354,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,10844,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429])).
% 201.36/201.17 cnf(11766,plain,
% 201.36/201.17 (E(f315(f272(x117661,x117661),f251(x117661,x117662)),x117662)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11771,plain,
% 201.36/201.17 (E(f315(f272(x117711,x117711),f251(x117711,x117712)),x117712)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11774,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f89(a1),x117741)),f2(a1)))),
% 201.36/201.17 inference(rename_variables,[],[4615])).
% 201.36/201.17 cnf(11779,plain,
% 201.36/201.17 (~E(f315(a101,x117791),x117791)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11788,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x117881),f102(x117881)),x117882))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(11808,plain,
% 201.36/201.17 (E(f38(a893,x118081,x118081),f2(a893))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,3347,4573,10620,10720,11186,3040,3043,3044,3049,3050,3053,3054,3061,3072,3073,3080,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3188,3189,3209,3223,4565,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,3364,3877,3263,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,3870,3410,3505,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,4615,11743,11774,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,11080,3428,4600,10464,10496,11000,11044,3576,10725,10816,11088,11132,11369,11372,11451,11533,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,4608,10444,10835,10838,11338,11354,3447,10880,11038,4233,4605,3944,4592,4595,3403,3407,4594,4593,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,10844,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587])).
% 201.36/201.17 cnf(11811,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f89(a1),x118111)),f2(a1)))),
% 201.36/201.17 inference(rename_variables,[],[4615])).
% 201.36/201.17 cnf(11814,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x118141),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(11815,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x118151),f315(a101,x118151)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(11818,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f89(a1),x118181)),f2(a1)))),
% 201.36/201.17 inference(rename_variables,[],[4615])).
% 201.36/201.17 cnf(11821,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x118211),x118212),f177(f901(x118211,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11822,plain,
% 201.36/201.17 (P107(f315(f315(f317(f901(x118221,a891)),x118222),f315(f296(x118221),x118222)))),
% 201.36/201.17 inference(rename_variables,[],[3784])).
% 201.36/201.17 cnf(11837,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x118371)),x118371))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11838,plain,
% 201.36/201.17 (~E(f315(a101,x118381),x118381)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11841,plain,
% 201.36/201.17 (E(f315(f272(x118411,x118411),f251(x118411,x118412)),x118412)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11851,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x118511),x118512)),x118511))),
% 201.36/201.17 inference(rename_variables,[],[4623])).
% 201.36/201.17 cnf(11854,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f89(a1),x118541)),f2(a1)))),
% 201.36/201.17 inference(rename_variables,[],[4615])).
% 201.36/201.17 cnf(11857,plain,
% 201.36/201.17 (~E(f315(a101,x118571),x118571)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(11870,plain,
% 201.36/201.17 (P107(f315(f315(f317(x118701),x118702),f315(f315(f297(x118701),x118702),x118703)))),
% 201.36/201.17 inference(rename_variables,[],[3732])).
% 201.36/201.17 cnf(11871,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a1),f2(a1)),f315(f72(a1),f315(f89(a1),f315(a101,x118711)))))),
% 201.36/201.17 inference(rename_variables,[],[4624])).
% 201.36/201.17 cnf(11874,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),f315(f315(f3(a893),x118741),x118742)),f315(a101,x118741)))),
% 201.36/201.17 inference(rename_variables,[],[3870])).
% 201.36/201.17 cnf(11877,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f38(a893,x118771,x118772)),x118771))),
% 201.36/201.17 inference(rename_variables,[],[3875])).
% 201.36/201.17 cnf(11883,plain,
% 201.36/201.17 (E(f315(f272(x118831,x118831),f251(x118831,x118832)),x118832)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(11888,plain,
% 201.36/201.17 (E(f315(f315(f123(x118881),f158(x118881,x118882,x118883)),f158(x118881,x118884,x118883)),f315(f315(f123(x118881),f158(x118881,x118884,x118883)),f158(x118881,x118882,x118883)))),
% 201.36/201.17 inference(rename_variables,[],[3982])).
% 201.36/201.17 cnf(11893,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x118931)),x118931))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11902,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x119021),x119021))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(11905,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f38(a893,x119051,x119052)),x119051))),
% 201.36/201.17 inference(rename_variables,[],[3875])).
% 201.36/201.17 cnf(11906,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x119061))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(11908,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a1),f71(a1)),f2(a1)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3049,3050,3053,3054,3061,3072,3073,3080,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,3870,3410,3505,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,4615,11743,11774,11811,11818,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,3427,10575,10631,10865,10956,11080,3428,4600,10464,10496,11000,11044,11053,3576,10725,10816,11088,11132,11369,11372,11451,11533,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,4608,10444,10835,10838,11338,11354,11837,3447,10880,11038,11108,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,4626,10639,4288,4196,3898,4622,10469,10472,10841,10844,4623,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878])).
% 201.36/201.17 cnf(11923,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x119231),x119231))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(11926,plain,
% 201.36/201.17 (P107(f315(f315(f317(x119261),f315(x119262,x119263)),f315(f298(x119264,x119261,x119262),f230(f901(x119264,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(11927,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x119271)),x119271))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11930,plain,
% 201.36/201.17 (P107(f315(f315(f317(x119301),f315(x119302,x119303)),f315(f298(x119304,x119301,x119302),f230(f901(x119304,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(11931,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x119311),x119312)),x119312))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(11936,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x119361),x119362)),x119361))),
% 201.36/201.17 inference(rename_variables,[],[4623])).
% 201.36/201.17 cnf(11939,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x119391),f102(x119391)),x119392))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(11942,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x119421),x119421))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11950,plain,
% 201.36/201.17 (~P37(x119501,x119502,f102(x119501))),
% 201.36/201.17 inference(rename_variables,[],[4587])).
% 201.36/201.17 cnf(11953,plain,
% 201.36/201.17 (P107(f315(f315(f317(x119531),x119532),f230(f901(x119531,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(11954,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x119541)),x119541))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(11967,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x119671),x119672),f177(f901(x119671,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(11970,plain,
% 201.36/201.17 (E(f315(f315(f18(x119701,x119702),x119703),x119704),x119703)),
% 201.36/201.17 inference(rename_variables,[],[3417])).
% 201.36/201.17 cnf(11973,plain,
% 201.36/201.17 (E(f315(f315(f18(x119731,x119732),x119733),x119734),x119733)),
% 201.36/201.17 inference(rename_variables,[],[3417])).
% 201.36/201.17 cnf(11985,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),f2(a893)),f315(a101,x119851)))),
% 201.36/201.17 inference(rename_variables,[],[3505])).
% 201.36/201.17 cnf(11988,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x119881),x119881))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(11991,plain,
% 201.36/201.17 (P107(f315(f54(x119911),f315(f161(x119911),x119912)))),
% 201.36/201.17 inference(rename_variables,[],[3465])).
% 201.36/201.17 cnf(11994,plain,
% 201.36/201.17 (P107(f315(f54(x119941),f315(f161(x119941),x119942)))),
% 201.36/201.17 inference(rename_variables,[],[3465])).
% 201.36/201.17 cnf(11997,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),f315(f72(a1),f315(f89(a1),x119971))),f315(f89(a1),x119972)))),
% 201.36/201.17 inference(rename_variables,[],[3899])).
% 201.36/201.17 cnf(12000,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x120001),x120002),f177(f901(x120001,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12016,plain,
% 201.36/201.17 (~P107(f315(f315(f317(a893),f2(a893)),f315(f292(a893),x120161)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3072,3073,3080,3092,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,4615,11743,11774,11811,11818,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,3427,10575,10631,10865,10956,11080,3428,3501,4600,10464,10496,11000,11044,11053,11902,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,3447,10880,11038,11108,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241])).
% 201.36/201.17 cnf(12018,plain,
% 201.36/201.17 (~P107(f315(f315(f317(a893),x120181),f315(f270(a893),f2(a893))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3072,3073,3080,3092,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,4615,11743,11774,11811,11818,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,3427,10575,10631,10865,10956,11080,3428,3501,4600,10464,10496,11000,11044,11053,11902,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,3447,10880,11038,11108,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242])).
% 201.36/201.17 cnf(12020,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),f38(a893,x120201,f177(a893))),x120201))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3072,3073,3080,3092,3093,3102,3103,3119,3122,3123,3136,3168,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,4615,11743,11774,11811,11818,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,3427,10575,10631,10865,10956,11080,11719,3428,3501,4600,10464,10496,11000,11044,11053,11902,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,3447,10880,11038,11108,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274])).
% 201.36/201.17 cnf(12021,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x120211),x120211))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12024,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x120241),f315(a101,x120241)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12027,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x120271),x120271))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12038,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x120381),x120381))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12041,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x120411),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12046,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x120461),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12055,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x120551))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(12056,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x120561)),x120561))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12059,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x120591),f102(x120591)),x120592))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(12062,plain,
% 201.36/201.17 (~P107(f315(f315(f161(x120621),f102(x120621)),x120622))),
% 201.36/201.17 inference(rename_variables,[],[4607])).
% 201.36/201.17 cnf(12068,plain,
% 201.36/201.17 (~P107(f315(f315(f275(a893),f315(a101,f315(f315(f73(a893),f315(a101,f2(a893))),x120681))),f315(a101,f2(a893))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,4615,11743,11774,11811,11818,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,3427,10575,10631,10865,10956,11080,11719,12021,12027,3428,3501,4600,10464,10496,11000,11044,11053,11902,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,3447,10880,11038,11108,11906,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496])).
% 201.36/201.17 cnf(12070,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x120701),f315(a101,x120701)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12082,plain,
% 201.36/201.17 (P107(f315(f315(f224(a1),f315(f72(a1),f71(a1))),f2(a1)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,3427,10575,10631,10865,10956,11080,11719,12021,12027,3428,3501,4600,10464,10496,11000,11044,11053,11902,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,3447,10880,11038,11108,11906,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553])).
% 201.36/201.17 cnf(12085,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x120851)),x120851))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12088,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x120881)),x120881))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12091,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x120911)),x120911))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12094,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x120941)),x120941))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12097,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x120971),x120971))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12100,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x121001),x121001))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12103,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x121031),x121031))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12106,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x121061),x121061))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12122,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f315(f315(f3(a893),x121221),f315(a101,x121221))),f2(a893)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,3427,10575,10631,10865,10956,11080,11719,12021,12027,3428,3501,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,3447,10880,11038,11108,11906,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633])).
% 201.36/201.17 cnf(12123,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x121231),x121231))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12126,plain,
% 201.36/201.17 (P26(a893,a893,a101,x121261)),
% 201.36/201.17 inference(rename_variables,[],[3628])).
% 201.36/201.17 cnf(12128,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x121281),f315(f69(a1),x121281)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3877,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4061,11028,4108,3784,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,3428,3501,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,3447,10880,11038,11108,11906,3899,4233,4605,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654])).
% 201.36/201.17 cnf(12129,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x121291),x121291))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12140,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x121401),x121401))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12143,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(f900(f894(x121431),f894(x121431)),a891)),f147(x121431,x121432)),f295(f894(x121431),f146(x121431,x121432))))),
% 201.36/201.17 inference(rename_variables,[],[4113])).
% 201.36/201.17 cnf(12150,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x121501),f315(a101,x121501)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12153,plain,
% 201.36/201.17 (P107(f315(f315(f317(f901(x121531,a891)),x121532),f315(f296(x121531),x121532)))),
% 201.36/201.17 inference(rename_variables,[],[3784])).
% 201.36/201.17 cnf(12154,plain,
% 201.36/201.17 (~E(f315(a101,x121541),x121541)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12159,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x121591),x121591))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12164,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x121641),x121641))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12175,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x121751,a891)),x121752),f315(f315(f297(x121751),x121753),x121752)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(12178,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x121781),x121781))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12179,plain,
% 201.36/201.17 (~E(f315(a101,x121791),x121791)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12192,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x121921),x121921))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12193,plain,
% 201.36/201.17 (~E(f315(a101,x121931),x121931)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12196,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x121961),x121961))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12199,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x121991),x121991))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12202,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x122021),x122021))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12205,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x122051),x122051))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12208,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x122081),x122081))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12211,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122111),x122111))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12214,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122141),x122141))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12215,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x122151),f315(a101,x122151)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12222,plain,
% 201.36/201.17 (~E(f315(a101,x122221),x122221)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12227,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122271),x122271))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12228,plain,
% 201.36/201.17 (~E(f315(a101,x122281),x122281)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12231,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x122311),x122311))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12248,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),x122481),x122481))),
% 201.36/201.17 inference(rename_variables,[],[3427])).
% 201.36/201.17 cnf(12253,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x122531))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(12269,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122691),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12272,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122721),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12275,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x122751),x122752),f177(f901(x122751,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12278,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x122781),x122782),f177(f901(x122781,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12280,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122801),f315(f315(f90(a893),x122802),x122801)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,3784,11822,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,3501,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,3447,10880,11038,11108,11906,12055,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146])).
% 201.36/201.17 cnf(12281,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122811),x122811))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12283,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122831),f315(f315(f90(a893),x122831),x122832)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,3784,11822,4142,3801,10583,10680,11235,11319,11398,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,3501,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,3447,10880,11038,11108,11906,12055,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147])).
% 201.36/201.17 cnf(12284,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122841),x122841))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12287,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122871),x122871))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12290,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x122901),x122901))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12293,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x122931),f315(a101,x122931)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12300,plain,
% 201.36/201.17 (P107(f315(f315(f317(f901(x123001,a891)),x123002),f315(f296(x123001),x123002)))),
% 201.36/201.17 inference(rename_variables,[],[3784])).
% 201.36/201.17 cnf(12305,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123051,a891)),x123052),f315(f315(f297(x123051),x123053),x123052)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(12312,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x123121),x123122),f177(f901(x123121,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12321,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123211,a891)),x123212),f230(f901(x123211,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12322,plain,
% 201.36/201.17 (~E(f315(a101,x123221),x123221)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12324,plain,
% 201.36/201.17 (~P25(a890,f177(f901(f892(a890),a891)),f315(f315(f297(f892(a890)),a902),f177(f901(f892(a890),a891))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3046,3049,3050,3053,3054,3061,3064,3072,3073,3080,3086,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,3870,11874,3410,3505,11700,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,3784,11822,12153,4142,3801,10583,10680,11235,11319,11398,11462,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,3501,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,3447,10880,11038,11108,11906,12055,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,12175,12305,3716,11294,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300])).
% 201.36/201.17 cnf(12325,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123251,a891)),x123252),f315(f315(f297(x123251),x123253),x123252)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(12328,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123281,a891)),f315(f161(x123281),f315(f125(x123281,x123282),x123283))),f315(f161(x123281),x123283)))),
% 201.36/201.17 inference(rename_variables,[],[4061])).
% 201.36/201.17 cnf(12334,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x123341),f315(a101,x123341)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12343,plain,
% 201.36/201.17 (E(f315(f272(x123431,x123431),f251(x123431,x123432)),x123432)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(12354,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a893),f315(a101,x123541)),x123541))),
% 201.36/201.17 inference(rename_variables,[],[4608])).
% 201.36/201.17 cnf(12355,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x123551),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12360,plain,
% 201.36/201.17 (P107(f315(f54(x123601),f177(f901(x123601,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3501])).
% 201.36/201.17 cnf(12361,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x123611),x123612),f177(f901(x123611,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12368,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123681,a891)),f315(f161(x123681),f165(x123681,x123682,x123683))),f315(f161(x123681),x123682)))),
% 201.36/201.17 inference(rename_variables,[],[4108])).
% 201.36/201.17 cnf(12371,plain,
% 201.36/201.17 (P26(x123711,x123711,f7(x123711),x123712)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12376,plain,
% 201.36/201.17 (P107(f315(f315(f317(f901(x123761,a891)),x123762),f315(f296(x123761),x123762)))),
% 201.36/201.17 inference(rename_variables,[],[3784])).
% 201.36/201.17 cnf(12383,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x123831),x123831))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12386,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x123861),x123862),f177(f901(x123861,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12389,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123891,a891)),x123892),f315(f315(f297(x123891),x123893),x123892)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(12390,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x123901,a891)),x123902),f230(f901(x123901,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12397,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x123971),x123971))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12400,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x124001),x124001))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12403,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x124031),x124031))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12406,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x124061),x124061))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12409,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x124091),f315(a101,x124091)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12412,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x124121),f315(a101,x124121)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12415,plain,
% 201.36/201.17 (P107(f315(f315(f275(a893),x124151),x124151))),
% 201.36/201.17 inference(rename_variables,[],[3428])).
% 201.36/201.17 cnf(12418,plain,
% 201.36/201.17 (P107(f315(f315(f275(a893),x124181),x124181))),
% 201.36/201.17 inference(rename_variables,[],[3428])).
% 201.36/201.17 cnf(12421,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x124211,a891)),x124212),x124212))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12423,plain,
% 201.36/201.17 (~P107(f315(f315(f223(a1),f315(f315(f3(a1),a76),a86)),f2(a1)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,11309,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,11994,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,11238,3784,11822,12153,12300,4142,3801,10583,10680,11235,11319,11398,11462,12321,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,3447,10880,11038,11108,11906,12055,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,12175,12305,12325,3716,11294,11416,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761])).
% 201.36/201.17 cnf(12428,plain,
% 201.36/201.17 (P107(f315(f315(f317(f901(x124281,a891)),x124282),f315(f296(x124281),x124282)))),
% 201.36/201.17 inference(rename_variables,[],[3784])).
% 201.36/201.17 cnf(12434,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a1),f315(f315(f73(a1),a76),a76)),f2(a1)))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,11309,4586,4587,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3482,11031,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,11994,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,11238,3784,11822,12153,12300,12376,4142,3801,10583,10680,11235,11319,11398,11462,12321,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,3447,10880,11038,11108,11906,12055,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,12175,12305,12325,3716,11294,11416,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798])).
% 201.36/201.17 cnf(12437,plain,
% 201.36/201.17 (~E(f315(a101,x124371),x124371)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12438,plain,
% 201.36/201.17 (E(f315(f298(x124381,x124381,f7(x124381)),x124382),x124382)),
% 201.36/201.17 inference(rename_variables,[],[3482])).
% 201.36/201.17 cnf(12441,plain,
% 201.36/201.17 (P34(x124411,x124412,f102(x124411),f102(x124411))),
% 201.36/201.17 inference(rename_variables,[],[3669])).
% 201.36/201.17 cnf(12444,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x124441,a891)),f315(f161(x124441),f165(x124441,x124442,x124443))),f315(f161(x124441),x124442)))),
% 201.36/201.17 inference(rename_variables,[],[4108])).
% 201.36/201.17 cnf(12445,plain,
% 201.36/201.17 (P107(f315(f54(x124451),f315(f161(x124451),x124452)))),
% 201.36/201.17 inference(rename_variables,[],[3465])).
% 201.36/201.17 cnf(12456,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x124561),x124561))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12459,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x124591),x124591))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12464,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x124641))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(12471,plain,
% 201.36/201.17 (P13(a893,f315(f157(a893),f315(f315(f143(f894(x124711),a893),f178(f894(x124711))),f168(x124711,x124712))))),
% 201.36/201.17 inference(rename_variables,[],[3978])).
% 201.36/201.17 cnf(12474,plain,
% 201.36/201.17 (P26(x124741,x124741,f7(x124741),x124742)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12477,plain,
% 201.36/201.17 (P26(x124771,x124771,f7(x124771),x124772)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12480,plain,
% 201.36/201.17 (P107(f315(f315(f317(f894(x124801)),f102(x124801)),f150(x124801,x124802)))),
% 201.36/201.17 inference(rename_variables,[],[3620])).
% 201.36/201.17 cnf(12483,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x124831,f901(x124832,a891))),x124833),x124834))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(12488,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x124881),x124881))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12489,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),f2(a893)),x124891))),
% 201.36/201.17 inference(rename_variables,[],[3447])).
% 201.36/201.17 cnf(12491,plain,
% 201.36/201.17 (P107(f315(f315(f223(a1),f2(a1)),f339(x124911,f177(f901(x124912,f901(x124913,a891))),f71(a1))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,11309,12371,12474,3669,4586,4587,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3306,3482,11031,11160,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,3783,4463,4464,4578,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,11994,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,4061,11028,4108,11238,12368,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,12175,12305,12325,3716,11294,11416,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,4288,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076])).
% 201.36/201.17 cnf(12492,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x124921,f901(x124922,a891))),x124923),x124924))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(12495,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(f900(f894(x124951),f894(x124951)),a891)),f147(x124951,x124952)),f295(f894(x124951),f146(x124951,x124952))))),
% 201.36/201.17 inference(rename_variables,[],[4113])).
% 201.36/201.17 cnf(12501,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125011,a891)),f315(f298(x125012,x125011,x125013),f315(f299(x125012,x125011,x125013),x125014))),x125014))),
% 201.36/201.17 inference(rename_variables,[],[4288])).
% 201.36/201.17 cnf(12504,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125041,a891)),f315(f161(x125041),f165(x125041,x125042,x125043))),f315(f161(x125041),x125042)))),
% 201.36/201.17 inference(rename_variables,[],[4108])).
% 201.36/201.17 cnf(12505,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125051,a891)),f315(f161(x125051),f315(f125(x125051,x125052),x125053))),f315(f161(x125051),x125053)))),
% 201.36/201.17 inference(rename_variables,[],[4061])).
% 201.36/201.17 cnf(12508,plain,
% 201.36/201.17 (~P107(f315(f315(f224(f901(x125081,a891)),x125082),f177(f901(x125081,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4619])).
% 201.36/201.17 cnf(12516,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125161,a891)),f315(f298(x125162,x125161,x125163),f315(f299(x125162,x125161,x125163),x125164))),x125164))),
% 201.36/201.17 inference(rename_variables,[],[4288])).
% 201.36/201.17 cnf(12521,plain,
% 201.36/201.17 (P107(f315(f315(f317(f894(x125211)),f102(x125211)),f150(x125211,x125212)))),
% 201.36/201.17 inference(rename_variables,[],[3620])).
% 201.36/201.17 cnf(12524,plain,
% 201.36/201.17 (~P107(f315(f315(f317(f900(f894(x125241),f894(x125241))),f315(f315(f240(f894(x125241),f894(x125241)),x125242),f102(x125241))),f134(x125241,x125243)))),
% 201.36/201.17 inference(rename_variables,[],[4628])).
% 201.36/201.17 cnf(12527,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x125271),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12529,plain,
% 201.36/201.17 (~P107(f315(f54(x125291),f230(f901(x125291,a891))))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,11309,12371,12474,3669,3676,3397,4586,4587,3296,3299,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,3628,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3282,3270,3271,3889,3306,3482,11031,11160,3357,4050,4580,10447,10617,11289,3417,11970,4609,11212,11314,11550,11553,3529,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,4628,11135,11379,11488,11514,11558,11564,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,3783,4463,4464,4578,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,11994,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,12143,12495,4061,11028,12328,4108,11238,12368,12444,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,4018,11584,11926,3865,11151,11157,11175,12175,12305,12325,3716,11294,11416,12421,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,4288,11019,12501,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289])).
% 201.36/201.17 cnf(12530,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125301,a891)),x125302),x125302))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12533,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x125331),x125332),f177(f901(x125331,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12536,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x125361,f901(x125362,a891))),x125363),x125364))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(12539,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125391,a891)),f315(f298(x125392,x125391,x125393),f315(f299(x125392,x125391,x125393),x125394))),x125394))),
% 201.36/201.17 inference(rename_variables,[],[4288])).
% 201.36/201.17 cnf(12540,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125401,a891)),x125402),x125402))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12545,plain,
% 201.36/201.17 (E(f315(f272(x125451,x125451),f251(x125451,x125452)),x125452)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(12548,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x125481,a891)),f315(f161(x125481),f165(x125481,x125482,x125483))),f315(f161(x125481),x125482)))),
% 201.36/201.17 inference(rename_variables,[],[4108])).
% 201.36/201.17 cnf(12549,plain,
% 201.36/201.17 (P107(f315(f54(x125491),f315(f161(x125491),x125492)))),
% 201.36/201.17 inference(rename_variables,[],[3465])).
% 201.36/201.17 cnf(12552,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x125521),x125521))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12555,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x125551),x125551))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12558,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x125581),x125581))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12569,plain,
% 201.36/201.17 (P26(x125691,x125691,f7(x125691),x125692)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12577,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x125771),x125772),f177(f901(x125771,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12580,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x125801,x125801)),f315(f315(f240(x125801,x125801),x125802),x125802)),f295(x125801,x125803)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(12583,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x125831),x125832),f177(f901(x125831,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12586,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x125861,x125861)),f315(f315(f240(x125861,x125861),x125862),x125862)),f295(x125861,x125863)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(12596,plain,
% 201.36/201.17 (~E(f315(f315(f140(x125961),x125962),x125963),x125963)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(12598,plain,
% 201.36/201.17 (~P27(a893,a893,x125981,f230(f901(a893,a891)),f291(a893,x125982,x125983))),
% 201.36/201.17 inference(scs_inference,[],[4625,3660,11309,12371,12474,12477,3669,3676,3397,4586,4587,3296,3299,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,3364,3373,3877,4178,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,3357,4050,4580,10447,10617,11289,11494,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,4052,11232,11366,11425,12580,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3613,4616,4185,11511,3742,3465,11991,11994,12445,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,4154,4113,12143,12495,4061,11028,12328,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,3486,10847,10877,10886,10889,10892,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,3865,11151,11157,11175,12175,12305,12325,3716,11294,11416,12421,12530,3867,10883,11254,11422,11456,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775])).
% 201.36/201.17 cnf(12603,plain,
% 201.36/201.17 (P107(f315(f315(f317(x126031),x126032),f230(f901(x126031,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(12604,plain,
% 201.36/201.17 (~E(f315(a101,x126041),x126041)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12607,plain,
% 201.36/201.17 (P107(f315(f315(f317(f894(x126071)),f102(x126071)),f150(x126071,x126072)))),
% 201.36/201.17 inference(rename_variables,[],[3620])).
% 201.36/201.17 cnf(12608,plain,
% 201.36/201.17 (~E(f315(f315(f140(x126081),x126082),x126083),f102(x126081))),
% 201.36/201.17 inference(rename_variables,[],[4583])).
% 201.36/201.17 cnf(12611,plain,
% 201.36/201.17 (P26(x126111,x126111,f7(x126111),x126112)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12614,plain,
% 201.36/201.17 (P107(f315(f315(f317(x126141),f315(x126142,x126143)),f315(f298(x126144,x126141,x126142),f230(f901(x126144,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(12615,plain,
% 201.36/201.17 (P26(x126151,x126151,f7(x126151),x126152)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12618,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126181,a891)),f177(f901(x126181,a891))),x126182))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(12619,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126191,a891)),x126192),x126192))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12622,plain,
% 201.36/201.17 (P107(f315(f315(f317(x126221),f315(x126222,x126223)),f315(f298(x126224,x126221,x126222),f230(f901(x126224,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(12623,plain,
% 201.36/201.17 (P26(x126231,x126231,f7(x126231),x126232)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12626,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x126261),f894(x126261))),f315(f315(f240(f894(x126261),f894(x126261)),f102(x126261)),f102(x126261))),f147(x126261,x126262)))),
% 201.36/201.17 inference(rename_variables,[],[4192])).
% 201.36/201.17 cnf(12630,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x126301),f2(a893)))),
% 201.36/201.17 inference(rename_variables,[],[4604])).
% 201.36/201.17 cnf(12636,plain,
% 201.36/201.17 (E(f315(f315(f123(x126361),x126362),f102(x126361)),x126362)),
% 201.36/201.17 inference(rename_variables,[],[3358])).
% 201.36/201.17 cnf(12637,plain,
% 201.36/201.17 (~E(f315(f315(f140(x126371),x126372),x126373),x126373)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(12640,plain,
% 201.36/201.17 (E(f315(f315(f123(x126401),x126402),f102(x126401)),x126402)),
% 201.36/201.17 inference(rename_variables,[],[3358])).
% 201.36/201.17 cnf(12641,plain,
% 201.36/201.17 (~E(f315(f315(f140(x126411),x126412),x126413),x126413)),
% 201.36/201.17 inference(rename_variables,[],[4580])).
% 201.36/201.17 cnf(12644,plain,
% 201.36/201.17 (E(f315(f315(f123(x126441),x126442),f102(x126441)),x126442)),
% 201.36/201.17 inference(rename_variables,[],[3358])).
% 201.36/201.17 cnf(12651,plain,
% 201.36/201.17 (P53(x126511,f251(x126511,x126512))),
% 201.36/201.17 inference(rename_variables,[],[3300])).
% 201.36/201.17 cnf(12654,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126541,a891)),f315(f161(x126541),f315(f125(x126541,x126542),x126543))),f315(f161(x126541),x126543)))),
% 201.36/201.17 inference(rename_variables,[],[4061])).
% 201.36/201.17 cnf(12655,plain,
% 201.36/201.17 (E(f315(f298(x126551,x126551,f7(x126551)),x126552),x126552)),
% 201.36/201.17 inference(rename_variables,[],[3482])).
% 201.36/201.17 cnf(12660,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126601,a891)),x126602),f230(f901(x126601,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12664,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x126641),x126641))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12665,plain,
% 201.36/201.17 (~E(f315(a101,x126651),x126651)),
% 201.36/201.17 inference(rename_variables,[],[4567])).
% 201.36/201.17 cnf(12668,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126681,a891)),f177(f901(x126681,a891))),x126682))),
% 201.36/201.17 inference(rename_variables,[],[3867])).
% 201.36/201.17 cnf(12671,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x126711),x126711))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12674,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126741,a891)),x126742),x126742))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12679,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126791,a891)),x126792),f315(f315(f297(x126791),x126793),x126792)))),
% 201.36/201.17 inference(rename_variables,[],[3865])).
% 201.36/201.17 cnf(12682,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x126821,a891)),x126822),x126822))),
% 201.36/201.17 inference(rename_variables,[],[3716])).
% 201.36/201.17 cnf(12683,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x126831),x126832),f177(f901(x126831,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12686,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x126861),x126862),f177(f901(x126861,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12695,plain,
% 201.36/201.17 (P26(x126951,x126951,f7(x126951),x126952)),
% 201.36/201.17 inference(rename_variables,[],[3660])).
% 201.36/201.17 cnf(12698,plain,
% 201.36/201.17 (E(f315(f178(f894(x126981)),f158(x126981,x126982,x126983)),x126982)),
% 201.36/201.17 inference(rename_variables,[],[3492])).
% 201.36/201.17 cnf(12701,plain,
% 201.36/201.17 (P27(x127011,x127011,f25(x127011),x127012,x127012)),
% 201.36/201.17 inference(rename_variables,[],[4076])).
% 201.36/201.17 cnf(12704,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x127041),x127041))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12705,plain,
% 201.36/201.17 (P107(f315(f230(f901(x127051,a891)),x127052))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(12708,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x127081),x127082),f177(f901(x127081,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12711,plain,
% 201.36/201.17 (P107(f315(f315(f317(x127111),f315(x127112,x127113)),f315(f298(x127114,x127111,x127112),f230(f901(x127114,a891)))))),
% 201.36/201.17 inference(rename_variables,[],[4018])).
% 201.36/201.17 cnf(12712,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x127121,x127121)),f315(f315(f240(x127121,x127121),x127122),x127122)),f295(x127121,x127123)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(12715,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x127151,x127151)),f315(f315(f240(x127151,x127151),x127152),x127152)),f295(x127151,x127153)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(12718,plain,
% 201.36/201.17 (P107(f315(f315(f223(a893),x127181),x127181))),
% 201.36/201.17 inference(rename_variables,[],[3426])).
% 201.36/201.17 cnf(12719,plain,
% 201.36/201.17 (P107(f315(f230(f901(x127191,a891)),x127192))),
% 201.36/201.17 inference(rename_variables,[],[3486])).
% 201.36/201.17 cnf(12722,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x127221,a891)),x127222),f230(f901(x127221,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12723,plain,
% 201.36/201.17 (P27(x127231,x127231,f25(x127231),x127232,x127232)),
% 201.36/201.17 inference(rename_variables,[],[4076])).
% 201.36/201.17 cnf(12726,plain,
% 201.36/201.17 (P107(f315(f54(x127261),f315(f161(x127261),x127262)))),
% 201.36/201.17 inference(rename_variables,[],[3465])).
% 201.36/201.17 cnf(12731,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x127311),f894(x127311))),f315(f315(f240(f894(x127311),f894(x127311)),f102(x127311)),f102(x127311))),f315(f315(f277(f894(x127311),f894(x127311),f894(x127311)),f147(x127311,x127312)),f147(x127311,x127312))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4076,12701,3660,11309,12371,12474,12477,12569,12611,12615,12623,3669,3676,3397,4586,4587,3296,3299,3300,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,3481,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,3358,12636,12640,12644,3364,3373,3877,4178,3492,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,4583,12608,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,12626,4052,11232,11366,11425,12580,12586,12712,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570])).
% 201.36/201.17 cnf(12733,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x127331,x127331)),f315(f315(f240(x127331,x127331),x127332),x127332)),f315(f315(f277(x127331,x127331,x127331),f295(x127331,x127333)),f295(x127331,f295(x127331,x127333)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4076,12701,3660,11309,12371,12474,12477,12569,12611,12615,12623,3669,3676,3397,4586,4587,3296,3299,3300,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,3481,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,3358,12636,12640,12644,3364,3373,3877,4178,3492,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,4583,12608,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,12626,4052,11232,11366,11425,12580,12586,12712,12715,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584])).
% 201.36/201.17 cnf(12736,plain,
% 201.36/201.17 (~P107(f315(f315(f177(f901(x127361,f901(x127362,a891))),x127363),x127364))),
% 201.36/201.17 inference(rename_variables,[],[4626])).
% 201.36/201.17 cnf(12742,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x127421,a891)),x127422),f230(f901(x127421,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12745,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(x127451,x127451)),f315(f315(f240(x127451,x127451),x127452),x127452)),f295(x127451,x127453)))),
% 201.36/201.17 inference(rename_variables,[],[4052])).
% 201.36/201.17 cnf(12748,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x127481),x127482)),x127482))),
% 201.36/201.17 inference(rename_variables,[],[4622])).
% 201.36/201.17 cnf(12749,plain,
% 201.36/201.17 (P107(f315(f315(f224(a893),x127491),f315(a101,x127491)))),
% 201.36/201.17 inference(rename_variables,[],[3493])).
% 201.36/201.17 cnf(12752,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x127521,a891)),x127522),f230(f901(x127521,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3801])).
% 201.36/201.17 cnf(12755,plain,
% 201.36/201.17 (E(f315(f272(x127551,x127551),f251(x127551,x127552)),x127552)),
% 201.36/201.17 inference(rename_variables,[],[3387])).
% 201.36/201.17 cnf(12762,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f900(f894(x127621),f894(x127621)),f900(f894(x127621),f894(x127621)))),f555(f295(f900(f894(x127621),f894(x127621)),x127622),f134(x127621,x127623),f900(f894(x127621),f894(x127621)))),f295(f900(f894(x127621),f894(x127621)),x127622)))),
% 201.36/201.17 inference(scs_inference,[],[4625,4076,12701,3660,11309,12371,12474,12477,12569,12611,12615,12623,3669,3676,3397,4586,4587,3296,3299,3300,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,3481,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3757,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,3358,12636,12640,12644,3364,3373,3877,4178,3492,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,4583,12608,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,12626,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657])).
% 201.36/201.17 cnf(12766,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x127661),x127662),f177(f901(x127661,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12767,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x127671),f894(x127671))),f315(f315(f240(f894(x127671),f894(x127671)),f102(x127671)),f102(x127671))),f147(x127671,x127672)))),
% 201.36/201.17 inference(rename_variables,[],[4192])).
% 201.36/201.17 cnf(12769,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(a893,a893)),f315(f315(f240(a893,a893),f2(a893)),f315(a101,f2(a893)))),f315(f315(f277(a893,a893,a893),f295(a893,a305)),f295(a893,f295(a893,a305)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4076,12701,3660,11309,12371,12474,12477,12569,12611,12615,12623,3669,3676,3397,4586,4587,3296,3299,3300,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,3481,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3757,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,3358,12636,12640,12644,3364,3373,3877,4178,3492,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,4583,12608,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,12626,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688])).
% 201.36/201.17 cnf(12772,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x127721),x127722),f177(f901(x127721,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12777,plain,
% 201.36/201.17 (P33(x127771,x127772,f102(x127771))),
% 201.36/201.17 inference(rename_variables,[],[3363])).
% 201.36/201.17 cnf(12780,plain,
% 201.36/201.17 (E(f315(f178(f894(x127801)),f158(x127801,x127802,x127803)),x127802)),
% 201.36/201.17 inference(rename_variables,[],[3492])).
% 201.36/201.17 cnf(12783,plain,
% 201.36/201.17 (~P107(f315(f315(f317(x127831),x127832),f177(f901(x127831,a891))))),
% 201.36/201.17 inference(rename_variables,[],[4611])).
% 201.36/201.17 cnf(12789,plain,
% 201.36/201.17 (~P107(f315(f315(f224(a893),x127891),x127891))),
% 201.36/201.17 inference(rename_variables,[],[4600])).
% 201.36/201.17 cnf(12791,plain,
% 201.36/201.17 (P107(f315(f315(f317(f900(f894(x127911),f894(x127911))),f315(f315(f240(f894(x127911),f894(x127911)),f158(x127911,f315(f178(f894(x127911)),x127912),x127913)),x127912)),f147(x127911,f230(f901(f900(x127911,x127911),a891)))))),
% 201.36/201.17 inference(scs_inference,[],[4625,4076,12701,3660,11309,12371,12474,12477,12569,12611,12615,12623,3669,3676,3397,3363,4586,4587,3296,3299,3300,4585,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,3481,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,3223,4565,3757,3982,11888,3273,11595,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,3358,12636,12640,12644,3364,3373,3877,4178,3492,12698,12780,3263,3622,3968,11641,3324,3259,3286,3737,3282,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,4583,12608,3417,11970,4609,11212,11314,11550,11553,3529,4589,3321,10520,10850,3322,3581,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,4578,11624,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110])).
% 201.36/201.17 cnf(12792,plain,
% 201.36/201.17 (P107(f315(f315(f317(x127921),x127922),f230(f901(x127921,a891))))),
% 201.36/201.17 inference(rename_variables,[],[3576])).
% 201.36/201.17 cnf(12796,plain,
% 201.36/201.17 (P107(f315(f315(f223(f901(x127961,a891)),x127962),x127962))),
% 201.36/201.18 inference(rename_variables,[],[3716])).
% 201.36/201.18 cnf(12799,plain,
% 201.36/201.18 (~P107(f315(f315(f317(x127991),x127992),f177(f901(x127991,a891))))),
% 201.36/201.18 inference(rename_variables,[],[4611])).
% 201.36/201.18 cnf(12802,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),f2(a1)),f315(f315(f232(a1),f315(f69(a1),x128021)),x128022)))),
% 201.36/201.18 inference(rename_variables,[],[3898])).
% 201.36/201.18 cnf(12805,plain,
% 201.36/201.18 (~E(f315(a101,x128051),x128051)),
% 201.36/201.18 inference(rename_variables,[],[4567])).
% 201.36/201.18 cnf(12807,plain,
% 201.36/201.18 (E(f315(f272(x128071,x128071),f251(x128071,x128072)),x128072)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12811,plain,
% 201.36/201.18 (E(f177(f901(f900(x128111,x128111),a891)),f251(x128111,f177(f901(x128111,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3496])).
% 201.36/201.18 cnf(12813,plain,
% 201.36/201.18 (E(f177(f901(f900(x128131,x128131),a891)),f251(x128131,f177(f901(x128131,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3496])).
% 201.36/201.18 cnf(12815,plain,
% 201.36/201.18 (P26(x128151,x128151,f7(x128151),x128152)),
% 201.36/201.18 inference(rename_variables,[],[3660])).
% 201.36/201.18 cnf(12817,plain,
% 201.36/201.18 (P26(x128171,x128171,f7(x128171),x128172)),
% 201.36/201.18 inference(rename_variables,[],[3660])).
% 201.36/201.18 cnf(12826,plain,
% 201.36/201.18 (P34(x128261,x128262,f102(x128261),f102(x128261))),
% 201.36/201.18 inference(rename_variables,[],[3669])).
% 201.36/201.18 cnf(12828,plain,
% 201.36/201.18 (P34(x128281,x128282,f102(x128281),f102(x128281))),
% 201.36/201.18 inference(rename_variables,[],[3669])).
% 201.36/201.18 cnf(12832,plain,
% 201.36/201.18 (E(f315(f272(x128321,x128321),f251(x128321,x128322)),x128322)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12834,plain,
% 201.36/201.18 (E(f315(f272(x128341,x128341),f251(x128341,x128342)),x128342)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12836,plain,
% 201.36/201.18 (P27(x128361,x128361,f25(x128361),x128362,x128362)),
% 201.36/201.18 inference(rename_variables,[],[4076])).
% 201.36/201.18 cnf(12838,plain,
% 201.36/201.18 (P27(x128381,x128381,f25(x128381),x128382,x128382)),
% 201.36/201.18 inference(rename_variables,[],[4076])).
% 201.36/201.18 cnf(12840,plain,
% 201.36/201.18 (P27(x128401,x128401,f25(x128401),x128402,x128402)),
% 201.36/201.18 inference(rename_variables,[],[4076])).
% 201.36/201.18 cnf(12848,plain,
% 201.36/201.18 (E(f315(f272(x128481,x128481),f251(x128481,x128482)),x128482)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12850,plain,
% 201.36/201.18 (E(f315(f272(x128501,x128501),f251(x128501,x128502)),x128502)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12856,plain,
% 201.36/201.18 (E(f315(f272(x128561,x128561),f251(x128561,x128562)),x128562)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12858,plain,
% 201.36/201.18 (P39(x128581,f142(x128581,x128582))),
% 201.36/201.18 inference(rename_variables,[],[3296])).
% 201.36/201.18 cnf(12866,plain,
% 201.36/201.18 (P54(x128661,x128662,f251(x128661,x128662))),
% 201.36/201.18 inference(rename_variables,[],[3396])).
% 201.36/201.18 cnf(12868,plain,
% 201.36/201.18 (P54(x128681,x128682,f251(x128681,x128682))),
% 201.36/201.18 inference(rename_variables,[],[3396])).
% 201.36/201.18 cnf(12870,plain,
% 201.36/201.18 (P54(x128701,x128702,f251(x128701,x128702))),
% 201.36/201.18 inference(rename_variables,[],[3396])).
% 201.36/201.18 cnf(12876,plain,
% 201.36/201.18 (E(f177(f901(f900(x128761,x128761),a891)),f251(x128761,f177(f901(x128761,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3496])).
% 201.36/201.18 cnf(12881,plain,
% 201.36/201.18 (P56(x128811,x128811,f251(x128811,x128812))),
% 201.36/201.18 inference(rename_variables,[],[3397])).
% 201.36/201.18 cnf(12887,plain,
% 201.36/201.18 (E(f315(f272(x128871,x128871),f251(x128871,x128872)),x128872)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12889,plain,
% 201.36/201.18 (P25(x128891,x128892,f177(f901(f892(x128891),a891)))),
% 201.36/201.18 inference(rename_variables,[],[3480])).
% 201.36/201.18 cnf(12895,plain,
% 201.36/201.18 (P57(x128951,f177(f901(x128951,a891)),x128952)),
% 201.36/201.18 inference(rename_variables,[],[3445])).
% 201.36/201.18 cnf(12905,plain,
% 201.36/201.18 (P40(x129051,f251(x129051,x129052))),
% 201.36/201.18 inference(rename_variables,[],[3297])).
% 201.36/201.18 cnf(12909,plain,
% 201.36/201.18 (E(f315(f272(x129091,x129091),f251(x129091,x129092)),x129092)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12911,plain,
% 201.36/201.18 (E(f315(f272(x129111,x129111),f251(x129111,x129112)),x129112)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12913,plain,
% 201.36/201.18 (E(f315(f272(x129131,x129131),f251(x129131,x129132)),x129132)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(12917,plain,
% 201.36/201.18 (P53(x129171,f251(x129171,x129172))),
% 201.36/201.18 inference(rename_variables,[],[3300])).
% 201.36/201.18 cnf(12922,plain,
% 201.36/201.18 (P14(x129221,f901(x129221,a891),f297(x129221))),
% 201.36/201.18 inference(rename_variables,[],[3400])).
% 201.36/201.18 cnf(12930,plain,
% 201.36/201.18 (P44(x129301,x129302,x129303,x129304,f177(f901(x129301,a891)),x129304)),
% 201.36/201.18 inference(rename_variables,[],[4349])).
% 201.36/201.18 cnf(12952,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x129521),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(12954,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),a76),f2(a1)))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3067,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3209,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,3358,12636,12640,12644,3364,3373,3877,4178,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,4615,11743,11774,11811,11818,11854,3857,3629,4000,3453,3455,3429,4601,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,4233,4605,3910,3944,4592,4595,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,4624,11871,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537])).
% 201.36/201.18 cnf(12961,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a1),f315(f89(a1),x129611)),f315(f72(a1),f315(f89(a1),x129612))))),
% 201.36/201.18 inference(rename_variables,[],[4620])).
% 201.36/201.18 cnf(12971,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x129711),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(12974,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x129741),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(12977,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x129771,x129772)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(12980,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x129801,x129802)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(12983,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x129831,x129832)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(12986,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x129861,x129862)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(12993,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),f315(f72(a1),f315(f89(a1),x129931))),f315(f89(a1),x129932)))),
% 201.36/201.18 inference(rename_variables,[],[3899])).
% 201.36/201.18 cnf(12995,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),f2(a1)),f315(f92(a1),f2(a1))))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3067,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3199,3209,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,3358,12636,12640,12644,3364,3373,3877,4178,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,4615,11743,11774,11811,11818,11854,3857,3629,3631,12977,12980,12983,4000,3453,3455,3429,4601,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,11997,4233,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,3844,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101])).
% 201.36/201.18 cnf(12998,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x129981),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(12999,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x129991),x129991))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13006,plain,
% 201.36/201.18 (P107(f315(f315(f224(a893),x130061),f315(a101,x130061)))),
% 201.36/201.18 inference(rename_variables,[],[3493])).
% 201.36/201.18 cnf(13008,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),f2(a1)),a76))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3067,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3199,3209,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,3358,12636,12640,12644,3364,3373,3877,4178,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,4615,11743,11774,11811,11818,11854,3857,3629,3631,12977,12980,12983,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,11997,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,3844,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208])).
% 201.36/201.18 cnf(13010,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a1),f2(a1)),f315(f92(a1),f2(a1))))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3061,3064,3067,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3119,3120,3122,3123,3136,3168,3173,3177,3178,3180,3188,3189,3199,3209,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,3358,12636,12640,12644,3364,3373,3877,4178,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3978,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,4615,11743,11774,11811,11818,11854,3857,3629,3631,12977,12980,12983,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,3428,12415,3501,12360,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,3486,10847,10877,10886,10889,10892,11480,12705,3525,3518,3936,3875,10499,11877,11905,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,3899,11997,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,3843,3844,4622,10469,10472,10841,10844,11740,11931,4623,11851,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361])).
% 201.36/201.18 cnf(13013,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x130131),x130131))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13016,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x130161,x130162)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(13019,plain,
% 201.36/201.18 (P107(f315(f54(a893),f293(a893,x130191,x130192)))),
% 201.36/201.18 inference(rename_variables,[],[3631])).
% 201.36/201.18 cnf(13022,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x130221),x130221))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13039,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),f38(a893,x130391,x130392)),x130391))),
% 201.36/201.18 inference(rename_variables,[],[3875])).
% 201.36/201.18 cnf(13044,plain,
% 201.36/201.18 (P107(f315(f315(f224(a893),x130441),f315(a101,x130441)))),
% 201.36/201.18 inference(rename_variables,[],[3493])).
% 201.36/201.18 cnf(13047,plain,
% 201.36/201.18 (P107(f315(f315(f224(a893),x130471),f315(a101,x130471)))),
% 201.36/201.18 inference(rename_variables,[],[3493])).
% 201.36/201.18 cnf(13048,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x130481),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(13057,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a1),f315(f89(a1),x130571)),f2(a1)))),
% 201.36/201.18 inference(rename_variables,[],[4615])).
% 201.36/201.18 cnf(13058,plain,
% 201.36/201.18 (P107(f315(f230(f901(x130581,a891)),x130582))),
% 201.36/201.18 inference(rename_variables,[],[3486])).
% 201.36/201.18 cnf(13061,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a1),f315(f89(a1),x130611)),f2(a1)))),
% 201.36/201.18 inference(rename_variables,[],[4615])).
% 201.36/201.18 cnf(13062,plain,
% 201.36/201.18 (P107(f315(f230(f901(x130621,a891)),x130622))),
% 201.36/201.18 inference(rename_variables,[],[3486])).
% 201.36/201.18 cnf(13065,plain,
% 201.36/201.18 (P107(f315(f230(f901(x130651,a891)),x130652))),
% 201.36/201.18 inference(rename_variables,[],[3486])).
% 201.36/201.18 cnf(13068,plain,
% 201.36/201.18 (P107(f315(f230(f901(x130681,a891)),x130682))),
% 201.36/201.18 inference(rename_variables,[],[3486])).
% 201.36/201.18 cnf(13076,plain,
% 201.36/201.18 (~P107(f315(f315(f317(x130761),x130762),f177(f901(x130761,a891))))),
% 201.36/201.18 inference(rename_variables,[],[4611])).
% 201.36/201.18 cnf(13077,plain,
% 201.36/201.18 (P107(f315(f54(x130771),f177(f901(x130771,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13080,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x130801),x130801))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13089,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),f2(a893)),x130891))),
% 201.36/201.18 inference(rename_variables,[],[3447])).
% 201.36/201.18 cnf(13092,plain,
% 201.36/201.18 (~P107(f315(f315(f317(x130921),x130922),f177(f901(x130921,a891))))),
% 201.36/201.18 inference(rename_variables,[],[4611])).
% 201.36/201.18 cnf(13095,plain,
% 201.36/201.18 (~P107(f315(f315(f317(x130951),x130952),f177(f901(x130951,a891))))),
% 201.36/201.18 inference(rename_variables,[],[4611])).
% 201.36/201.18 cnf(13100,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131001),x131001))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13108,plain,
% 201.36/201.18 (P107(f315(f315(f224(a893),x131081),f315(a101,x131081)))),
% 201.36/201.18 inference(rename_variables,[],[3493])).
% 201.36/201.18 cnf(13111,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131111),x131111))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13116,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131161),x131161))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13119,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131191),x131191))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13122,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131221),x131221))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13125,plain,
% 201.36/201.18 (E(f315(f315(f3(f901(x131251,a891)),f177(f901(x131251,a891))),x131252),f177(f901(x131251,a891)))),
% 201.36/201.18 inference(rename_variables,[],[3688])).
% 201.36/201.18 cnf(13126,plain,
% 201.36/201.18 (P107(f315(f54(x131261),f177(f901(x131261,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13129,plain,
% 201.36/201.18 (E(f315(f315(f3(f901(x131291,a891)),f177(f901(x131291,a891))),x131292),f177(f901(x131291,a891)))),
% 201.36/201.18 inference(rename_variables,[],[3688])).
% 201.36/201.18 cnf(13130,plain,
% 201.36/201.18 (P107(f315(f54(x131301),f177(f901(x131301,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13133,plain,
% 201.36/201.18 (E(f315(f315(f3(f901(x131331,a891)),f177(f901(x131331,a891))),x131332),f177(f901(x131331,a891)))),
% 201.36/201.18 inference(rename_variables,[],[3688])).
% 201.36/201.18 cnf(13134,plain,
% 201.36/201.18 (P107(f315(f54(x131341),f177(f901(x131341,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13137,plain,
% 201.36/201.18 (E(f315(f315(f3(f901(x131371,a891)),f177(f901(x131371,a891))),x131372),f177(f901(x131371,a891)))),
% 201.36/201.18 inference(rename_variables,[],[3688])).
% 201.36/201.18 cnf(13138,plain,
% 201.36/201.18 (P107(f315(f54(x131381),f177(f901(x131381,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13142,plain,
% 201.36/201.18 (E(f315(f272(x131421,x131421),f251(x131421,x131422)),x131422)),
% 201.36/201.18 inference(rename_variables,[],[3387])).
% 201.36/201.18 cnf(13147,plain,
% 201.36/201.18 (E(f315(f315(f3(f901(x131471,a891)),f177(f901(x131471,a891))),x131472),f177(f901(x131471,a891)))),
% 201.36/201.18 inference(rename_variables,[],[3688])).
% 201.36/201.18 cnf(13148,plain,
% 201.36/201.18 (P107(f315(f54(x131481),f177(f901(x131481,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13152,plain,
% 201.36/201.18 (P107(f315(f54(x131521),f177(f901(x131521,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3501])).
% 201.36/201.18 cnf(13155,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131551),x131551))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13159,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x131591),x131591))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13168,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x131681),x131681))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13179,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x131791),x131791))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13192,plain,
% 201.36/201.18 (~P107(f315(f315(f317(x131921),x131922),f177(f901(x131921,a891))))),
% 201.36/201.18 inference(rename_variables,[],[4611])).
% 201.36/201.18 cnf(13203,plain,
% 201.36/201.18 (P107(f315(f315(f317(x132031),x132032),f230(f901(x132031,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3576])).
% 201.36/201.18 cnf(13204,plain,
% 201.36/201.18 (E(f315(f181(x132041,x132042),x132043),f110(x132041,x132042))),
% 201.36/201.18 inference(rename_variables,[],[3341])).
% 201.36/201.18 cnf(13207,plain,
% 201.36/201.18 (P107(f315(f315(f317(x132071),f315(x132072,x132073)),f315(f298(x132074,x132071,x132072),f230(f901(x132074,a891)))))),
% 201.36/201.18 inference(rename_variables,[],[4018])).
% 201.36/201.18 cnf(13211,plain,
% 201.36/201.18 (P107(f315(f315(f223(f901(x132111,a891)),x132112),f230(f901(x132111,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3801])).
% 201.36/201.18 cnf(13214,plain,
% 201.36/201.18 (P107(f315(f315(f223(f901(x132141,a891)),x132142),x132142))),
% 201.36/201.18 inference(rename_variables,[],[3716])).
% 201.36/201.18 cnf(13220,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x132201),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(13221,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x132211),x132211))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13225,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x132251),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(13226,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x132261),x132261))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13231,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x132311),x132311))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13232,plain,
% 201.36/201.18 (P107(f315(f54(a893),f291(a893,x132321,x132322)))),
% 201.36/201.18 inference(rename_variables,[],[3629])).
% 201.36/201.18 cnf(13239,plain,
% 201.36/201.18 (E(f315(f315(f18(x132391,x132392),x132393),x132394),x132393)),
% 201.36/201.18 inference(rename_variables,[],[3417])).
% 201.36/201.18 cnf(13242,plain,
% 201.36/201.18 (P107(f315(f315(f223(f901(x132421,a891)),f315(f161(x132421),f165(x132421,x132422,x132423))),f315(f161(x132421),x132422)))),
% 201.36/201.18 inference(rename_variables,[],[4108])).
% 201.36/201.18 cnf(13249,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x132491),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(13250,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x132501),x132501))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13254,plain,
% 201.36/201.18 (~P107(f315(f315(f224(a893),x132541),f2(a893)))),
% 201.36/201.18 inference(rename_variables,[],[4604])).
% 201.36/201.18 cnf(13255,plain,
% 201.36/201.18 (P107(f315(f315(f223(a1),x132551),x132551))),
% 201.36/201.18 inference(rename_variables,[],[3427])).
% 201.36/201.18 cnf(13259,plain,
% 201.36/201.18 (~P107(f315(f315(f223(f901(a893,a891)),f291(a893,f315(a101,x132591),f315(a101,x132591))),f291(a893,x132592,x132591)))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3116,3119,3120,3122,3123,3136,3144,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,12489,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617])).
% 201.36/201.18 cnf(13260,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x132601),x132601))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13262,plain,
% 201.36/201.18 (~P107(f315(f315(f224(f901(a893,a891)),f291(a893,f315(a101,x132621),f315(a101,x132621))),f291(a893,x132622,x132621)))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3116,3119,3120,3122,3123,3136,3144,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,3447,10880,11038,11108,11906,12055,12253,12464,12489,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618])).
% 201.36/201.18 cnf(13263,plain,
% 201.36/201.18 (P107(f315(f315(f223(a893),x132631),x132631))),
% 201.36/201.18 inference(rename_variables,[],[3426])).
% 201.36/201.18 cnf(13266,plain,
% 201.36/201.18 (~P107(f315(f315(f223(a893),f315(a101,x132661)),x132661))),
% 201.36/201.18 inference(rename_variables,[],[4608])).
% 201.36/201.18 cnf(13271,plain,
% 201.36/201.18 (E(x132711,f499(f315(f7(x132712),f315(f7(x132712),x132711)),f7(x132712),x132712,x132712))),
% 201.36/201.18 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3116,3119,3120,3122,3123,3136,3144,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,4008,4609,11212,11314,11550,11553,3818,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,4619,10979,11390,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,3865,11151,11157,11175,12175,12305,12325,12389,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,4190,3867,10883,11254,11422,11456,11467,12618,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771])).
% 201.36/201.18 cnf(13272,plain,
% 201.36/201.18 (P107(f315(f315(f317(x132721),f315(x132722,x132723)),f315(f298(x132724,x132721,x132722),f230(f901(x132724,a891)))))),
% 201.36/201.18 inference(rename_variables,[],[4018])).
% 201.36/201.18 cnf(13273,plain,
% 201.36/201.18 (P26(x132731,x132731,f7(x132731),x132732)),
% 201.36/201.18 inference(rename_variables,[],[3660])).
% 201.36/201.18 cnf(13278,plain,
% 201.36/201.18 (P107(f315(f315(f223(f901(x132781,a891)),x132782),f230(f901(x132781,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3801])).
% 201.36/201.18 cnf(13279,plain,
% 201.36/201.18 (P26(x132791,x132791,f7(x132791),x132792)),
% 201.36/201.18 inference(rename_variables,[],[3660])).
% 201.36/201.18 cnf(13283,plain,
% 201.36/201.18 (P107(f315(f315(f223(f901(x132831,a891)),x132832),f230(f901(x132831,a891))))),
% 201.36/201.18 inference(rename_variables,[],[3801])).
% 201.36/201.18 cnf(13284,plain,
% 201.36/201.18 (P26(x132841,x132841,f7(x132841),x132842)),
% 201.36/201.18 inference(rename_variables,[],[3660])).
% 201.36/201.18 cnf(13288,plain,
% 201.36/201.18 (P26(x132881,x132881,f7(x132881),x132882)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13291,plain,
% 201.36/201.19 (~P107(f315(f315(f224(f901(x132911,a891)),x132912),f177(f901(x132911,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4619])).
% 201.36/201.19 cnf(13294,plain,
% 201.36/201.19 (P26(x132941,x132941,f7(x132941),x132942)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13297,plain,
% 201.36/201.19 (P26(x132971,x132971,f7(x132971),x132972)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13303,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x133031,a891)),x133032),f230(f901(x133031,a891))))),
% 201.36/201.19 inference(rename_variables,[],[3801])).
% 201.36/201.19 cnf(13308,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x133081,a891)),f177(f901(x133081,a891))),x133082))),
% 201.36/201.19 inference(rename_variables,[],[3867])).
% 201.36/201.19 cnf(13312,plain,
% 201.36/201.19 (E(f315(f272(x133121,x133121),f251(x133121,x133122)),x133122)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13316,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x133161),x133162),f177(f901(x133161,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13321,plain,
% 201.36/201.19 (P26(x133211,x133211,f7(x133211),x133212)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13324,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x133241,a891)),x133242),f230(f901(x133241,a891))))),
% 201.36/201.19 inference(rename_variables,[],[3801])).
% 201.36/201.19 cnf(13332,plain,
% 201.36/201.19 (E(f315(f315(f18(x133321,x133322),x133323),x133324),x133323)),
% 201.36/201.19 inference(rename_variables,[],[3417])).
% 201.36/201.19 cnf(13335,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x133351),x133352),f177(f901(x133351,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13338,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x133381),x133382),f177(f901(x133381,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13343,plain,
% 201.36/201.19 (~E(f315(a101,x133431),x133431)),
% 201.36/201.19 inference(rename_variables,[],[4567])).
% 201.36/201.19 cnf(13346,plain,
% 201.36/201.19 (P107(f315(f315(f224(a893),x133461),f315(a101,x133461)))),
% 201.36/201.19 inference(rename_variables,[],[3493])).
% 201.36/201.19 cnf(13347,plain,
% 201.36/201.19 (~E(f315(a101,x133471),x133471)),
% 201.36/201.19 inference(rename_variables,[],[4567])).
% 201.36/201.19 cnf(13350,plain,
% 201.36/201.19 (P107(f315(f315(f224(a893),x133501),f315(a101,f315(f315(f73(a893),x133502),x133501))))),
% 201.36/201.19 inference(rename_variables,[],[3868])).
% 201.36/201.19 cnf(13351,plain,
% 201.36/201.19 (P107(f315(f315(f224(a893),x133511),f315(a101,x133511)))),
% 201.36/201.19 inference(rename_variables,[],[3493])).
% 201.36/201.19 cnf(13353,plain,
% 201.36/201.19 (~E(f315(f315(f74(a893),f315(a101,f2(a893))),f108(x133531)),f315(f315(f74(a893),f315(a101,f2(a893))),f115(x133531,x133532,x133533)))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3116,3119,3120,3122,3123,3136,3144,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,3870,11874,3410,3505,11700,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,4000,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,4108,11238,12368,12444,12504,12548,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,4190,3867,10883,11254,11422,11456,11467,12618,12668,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606])).
% 201.36/201.19 cnf(13360,plain,
% 201.36/201.19 (P107(f315(f315(f223(a1),f2(a1)),f315(f89(a1),x133601)))),
% 201.36/201.19 inference(rename_variables,[],[3525])).
% 201.36/201.19 cnf(13363,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f2(a893)),x133631))),
% 201.36/201.19 inference(rename_variables,[],[3447])).
% 201.36/201.19 cnf(13367,plain,
% 201.36/201.19 (~E(f315(a101,x133671),f2(a893))),
% 201.36/201.19 inference(rename_variables,[],[4573])).
% 201.36/201.19 cnf(13370,plain,
% 201.36/201.19 (P107(f315(f315(f223(a1),x133701),x133701))),
% 201.36/201.19 inference(rename_variables,[],[3427])).
% 201.36/201.19 cnf(13374,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x133741,a891)),f315(f161(x133741),f165(x133741,x133742,x133743))),f315(f161(x133741),x133742)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(13379,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x133791),x133792),f177(f901(x133791,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13382,plain,
% 201.36/201.19 (P107(f315(f54(a893),f293(a893,x133821,x133822)))),
% 201.36/201.19 inference(rename_variables,[],[3631])).
% 201.36/201.19 cnf(13383,plain,
% 201.36/201.19 (E(f315(f315(f221(a893),f315(a101,x133831)),f315(a101,x133832)),f315(a101,f315(f315(f221(a893),x133831),x133832)))),
% 201.36/201.19 inference(rename_variables,[],[3594])).
% 201.36/201.19 cnf(13386,plain,
% 201.36/201.19 (P107(f315(f54(a893),f293(a893,x133861,x133862)))),
% 201.36/201.19 inference(rename_variables,[],[3631])).
% 201.36/201.19 cnf(13387,plain,
% 201.36/201.19 (E(f315(f315(f222(a893),f315(a101,x133871)),f315(a101,x133872)),f315(a101,f315(f315(f222(a893),x133871),x133872)))),
% 201.36/201.19 inference(rename_variables,[],[3595])).
% 201.36/201.19 cnf(13390,plain,
% 201.36/201.19 (P107(f315(f54(a893),f293(a893,x133901,x133902)))),
% 201.36/201.19 inference(rename_variables,[],[3631])).
% 201.36/201.19 cnf(13399,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x133991),x133992),f177(f901(x133991,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13400,plain,
% 201.36/201.19 (E(f315(f315(f18(x134001,x134002),x134003),x134004),x134003)),
% 201.36/201.19 inference(rename_variables,[],[3417])).
% 201.36/201.19 cnf(13403,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x134031,a891)),f315(f161(x134031),f315(f125(x134031,x134032),x134033))),f315(f161(x134031),x134033)))),
% 201.36/201.19 inference(rename_variables,[],[4061])).
% 201.36/201.19 cnf(13404,plain,
% 201.36/201.19 (E(f315(f315(f18(x134041,x134042),x134043),x134044),x134043)),
% 201.36/201.19 inference(rename_variables,[],[3417])).
% 201.36/201.19 cnf(13407,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x134071,a891)),f315(f161(x134071),f315(f315(f164(x134071),x134072),x134073))),f315(f161(x134071),x134073)))),
% 201.36/201.19 inference(rename_variables,[],[4103])).
% 201.36/201.19 cnf(13408,plain,
% 201.36/201.19 (E(f315(f315(f18(x134081,x134082),x134083),x134084),x134083)),
% 201.36/201.19 inference(rename_variables,[],[3417])).
% 201.36/201.19 cnf(13412,plain,
% 201.36/201.19 (E(f315(f315(f18(x134121,x134122),x134123),x134124),x134123)),
% 201.36/201.19 inference(rename_variables,[],[3417])).
% 201.36/201.19 cnf(13425,plain,
% 201.36/201.19 (P107(f315(f315(f223(a1),f2(a1)),f315(f89(a1),x134251)))),
% 201.36/201.19 inference(rename_variables,[],[3525])).
% 201.36/201.19 cnf(13430,plain,
% 201.36/201.19 (P26(x134301,x134301,f7(x134301),x134302)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13433,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x134331),x134332),f177(f901(x134331,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13434,plain,
% 201.36/201.19 (E(f315(f272(x134341,x134341),f251(x134341,x134342)),x134342)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13435,plain,
% 201.36/201.19 (P26(x134351,x134351,f7(x134351),x134352)),
% 201.36/201.19 inference(rename_variables,[],[3660])).
% 201.36/201.19 cnf(13439,plain,
% 201.36/201.19 (E(f315(f272(x134391,x134391),f251(x134391,x134392)),x134392)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13453,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f2(a893)),x134531))),
% 201.36/201.19 inference(rename_variables,[],[3447])).
% 201.36/201.19 cnf(13454,plain,
% 201.36/201.19 (P107(f315(f315(f224(a893),f2(a893)),f315(a101,x134541)))),
% 201.36/201.19 inference(rename_variables,[],[3505])).
% 201.36/201.19 cnf(13455,plain,
% 201.36/201.19 (E(f315(f272(x134551,x134551),f251(x134551,x134552)),x134552)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13458,plain,
% 201.36/201.19 (P107(f315(f41(f315(f272(x134581,x134581),f251(x134581,f315(f315(f73(a893),f315(f315(f74(a893),f315(f239(a893,a893),f315(f315(f240(a893,a893),f2(a893)),x134582))),f315(a101,f315(f315(f73(a893),x134583),f315(f244(a893,a893),f315(f315(f240(a893,a893),f2(a893)),x134582)))))),f315(f244(a893,a893),f315(f315(f240(a893,a893),f2(a893)),x134582))))),f315(a101,f315(f315(f73(a893),x134583),f315(f244(a893,a893),f315(f315(f240(a893,a893),f2(a893)),x134582))))),f315(f315(f240(a893,a893),f2(a893)),x134582)))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3116,3119,3120,3122,3123,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013])).
% 201.36/201.19 cnf(13474,plain,
% 201.36/201.19 (E(f315(f315(f73(a893),f2(a893)),f630(f315(a101,f2(a893)),f2(a893))),f2(a893))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718])).
% 201.36/201.19 cnf(13536,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a1),f2(a1)),f2(a1)))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718,4719,4722,4764,4768,4773,4814,4911,4928,4958,4959,4990,4994,5053,5056,5116,5249,5289,5290,5292,5299,5300,5324,5363,5394,5416,5551,5626,5627,5628,5689,5746])).
% 201.36/201.19 cnf(13538,plain,
% 201.36/201.19 (P107(f315(f315(f224(a1),f2(a1)),f315(f69(a1),f71(a1))))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718,4719,4722,4764,4768,4773,4814,4911,4928,4958,4959,4990,4994,5053,5056,5116,5249,5289,5290,5292,5299,5300,5324,5363,5394,5416,5551,5626,5627,5628,5689,5746,5747])).
% 201.36/201.19 cnf(13562,plain,
% 201.36/201.19 (~P107(f315(f54(x135621),f30(f901(x135621,a891),f230(f901(f901(x135621,a891),a891)))))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718,4719,4722,4764,4768,4773,4814,4911,4928,4958,4959,4990,4994,5053,5056,5116,5249,5289,5290,5292,5299,5300,5324,5363,5394,5416,5551,5626,5627,5628,5689,5746,5747,5773,5777,5836,5838,5847,5853,5941,6026,6133,6177,6235,6348])).
% 201.36/201.19 cnf(13572,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),f2(a893)),f177(a893)))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718,4719,4722,4764,4768,4773,4814,4911,4928,4958,4959,4990,4994,5053,5056,5116,5249,5289,5290,5292,5299,5300,5324,5363,5394,5416,5551,5626,5627,5628,5689,5746,5747,5773,5777,5836,5838,5847,5853,5941,6026,6133,6177,6235,6348,6475,6637,6675,6850,7110])).
% 201.36/201.19 cnf(13590,plain,
% 201.36/201.19 (~P26(x135901,x135902,f315(f66(x135903,x135902,x135901,f181(x135904,x135905)),f315(f140(x135906),x135907)),f230(f901(x135901,a891)))),
% 201.36/201.19 inference(scs_inference,[],[4625,4076,12701,12723,12836,12838,12840,3660,11309,12371,12474,12477,12569,12611,12615,12623,12695,12815,12817,13273,13279,13284,13288,13294,13297,13321,13430,13435,3669,12441,12826,12828,3676,3396,12866,12868,12870,3397,12881,3363,12777,4586,4587,11950,4349,12930,3400,12922,3240,3296,12858,3297,12905,3298,3299,3300,12651,12917,4585,3718,4567,10387,10397,10410,10421,10493,10528,10531,10534,10636,10771,11083,11276,11279,11301,11304,11497,11598,11605,11619,11665,11668,11701,11716,11779,11838,11857,12154,12179,12193,12222,12228,12322,12437,12604,12665,12805,13343,13347,3481,3445,12895,3628,12126,3347,4573,10620,10720,11186,11286,13367,3039,3040,3043,3044,3045,3046,3049,3050,3052,3053,3054,3060,3061,3064,3067,3068,3072,3073,3080,3086,3089,3092,3093,3102,3103,3110,3114,3116,3119,3120,3122,3123,3124,3130,3136,3144,3145,3148,3156,3159,3168,3170,3173,3177,3178,3180,3181,3188,3189,3196,3199,3209,3219,4564,3223,3295,4565,3757,3982,11888,3273,11595,3408,3384,3387,10456,10459,10555,10558,10874,11610,11613,11727,11766,11771,11841,11883,12343,12545,12755,12807,12832,12834,12848,12850,12856,12887,12909,12911,12913,13142,13312,13434,13439,13455,3358,12636,12640,12644,3364,3373,3877,4178,3341,13204,3492,12698,12780,3262,3263,3622,3968,11641,3480,12889,3324,3259,3286,3737,3282,3389,4085,3976,3799,3270,3271,3250,3889,3306,3482,11031,11160,12438,12655,3357,4050,4580,10447,10617,11289,11494,12596,12637,12641,4583,12608,3417,11970,11973,13239,13332,13400,13404,13408,13412,4008,4609,11212,11314,11550,11553,3392,3818,3414,3529,3743,3521,4589,3496,12811,12813,12876,3321,10520,10850,3322,4598,3581,3314,3241,3343,11631,4192,12626,12767,4052,11232,11366,11425,12580,12586,12712,12715,12745,4628,11135,11379,11488,11514,11558,11564,12524,4629,11265,11382,11491,4630,11385,11436,4631,11443,4632,3342,3620,12480,12521,12607,3783,3569,4463,4464,3604,3641,4578,11624,3761,3720,3763,3932,3688,13125,13129,13133,13137,13147,3978,12471,3606,3860,3493,10539,10659,10737,10810,10813,10853,10953,11202,11815,12024,12070,12150,12215,12293,12334,12409,12412,12749,13006,13044,13047,13108,13346,13351,3870,11874,3410,3505,11700,11985,13454,3682,4604,10424,10427,10453,10580,10755,10961,10976,11093,11536,11634,11814,12041,12046,12269,12272,12355,12527,12630,12952,12971,12974,12998,13048,13220,13225,13249,13254,4615,11743,11774,11811,11818,11854,13057,13061,3857,3629,13232,3631,12977,12980,12983,12986,13016,13019,13382,13386,13390,3632,4000,3594,13383,3595,13387,3453,3455,3429,4601,3320,4575,3809,4114,3613,4616,4185,11511,3742,3465,11991,11994,12445,12549,12726,4607,10415,10418,10588,10683,10702,10709,10732,10740,10743,10760,10946,11189,11405,11694,11788,11939,12059,12062,4154,4113,12143,12495,4061,11028,12328,12505,12654,13403,4103,13407,4108,11238,12368,12444,12504,12548,13242,13374,4109,3784,11822,12153,12300,12376,12428,4142,3801,10583,10680,11235,11319,11398,11462,12321,12390,12660,12722,12742,12752,13211,13278,13283,13303,13324,4619,10979,11390,12508,13291,3426,10548,10646,10796,10860,10935,10982,10985,11016,11041,11077,11115,11154,11942,11988,12123,12178,12196,12199,12202,12205,12383,12397,12400,12403,12406,12488,12552,12671,12718,12999,13022,13080,13100,13111,13116,13119,13122,13155,13168,13231,13260,13263,3427,10575,10631,10865,10956,11080,11719,12021,12027,12038,12129,12140,12159,12164,12208,12231,12248,13013,13159,13179,13221,13226,13250,13255,13370,3428,12415,12418,3501,12360,13077,13126,13130,13134,13138,13148,13152,4600,10464,10496,11000,11044,11053,11902,11923,12097,12100,12103,12106,12192,12211,12214,12227,12281,12284,12287,12290,12456,12459,12555,12558,12664,12704,12789,3576,10725,10816,11088,11132,11369,11372,11451,11533,11704,11953,12603,12792,13203,4611,11009,11124,11145,11148,11215,11218,11229,11335,11343,11357,11393,11410,11419,11459,11500,11505,11508,11527,11530,11567,11572,11575,11578,11581,11821,11967,12000,12275,12278,12312,12361,12386,12533,12577,12583,12683,12686,12708,12766,12772,12783,12799,13076,13092,13095,13192,13316,13335,13338,13379,13399,13433,3486,10847,10877,10886,10889,10892,11480,12705,12719,13058,13062,13065,13068,3525,13360,13425,3518,3936,3875,10499,11877,11905,13039,4608,10444,10835,10838,11338,11354,11837,11893,11927,11954,12056,12085,12088,12091,12094,12354,13266,3447,10880,11038,11108,11906,12055,12253,12464,12489,13089,13363,13453,3899,11997,12993,4233,3635,4605,3910,3944,4592,4595,4596,3403,3407,4594,4593,4400,3732,11870,4327,11726,4621,10746,10749,4627,11221,11224,11413,11524,11541,11587,4018,11584,11926,11930,12614,12622,12711,13207,13272,3865,11151,11157,11175,12175,12305,12325,12389,12679,3716,11294,11416,12421,12530,12540,12619,12674,12682,12796,13214,4190,3867,10883,11254,11422,11456,11467,12618,12668,13308,3577,3683,10799,10802,10895,11064,3685,4624,11871,4620,12961,4626,10639,10752,12483,12492,12536,12736,4288,11019,12501,12516,12539,4196,3898,12802,3843,3844,4622,10469,10472,10841,10844,11740,11931,12748,4623,11851,11936,3868,10805,11070,13350,3869,4128,4639,4665,4720,4724,4748,4763,4770,4772,4808,4813,4842,4848,4934,4960,4961,4976,5030,5031,5054,5055,5069,5073,5098,5104,5120,5124,5125,5126,5131,5132,5155,5181,5183,5184,5194,5199,5205,5241,5242,5250,5258,5262,5264,5267,5279,5282,5288,5293,5294,5307,5313,5316,5317,5321,5349,5364,5373,5375,5376,5379,5380,5381,5391,5393,5399,5400,5401,5407,5411,5412,5413,5421,5425,5426,5432,5445,5453,5466,5468,5476,5478,5479,5482,5486,5513,5527,5528,5543,5555,5577,5583,5607,5608,5612,5631,5639,5640,5645,5646,5656,5658,5671,5675,5684,5685,5687,5688,5704,5709,5718,5719,5730,5737,5751,5755,5758,5764,5765,5766,5769,5774,5810,5811,5814,5816,5818,5820,5821,5822,5824,5826,5828,5833,5840,5855,5869,5875,5876,5888,5899,5900,5907,5911,5913,5918,5926,5964,5979,5988,5991,6000,6004,6005,6006,6007,6008,6013,6018,6028,6034,6052,6056,6065,6094,6110,6136,6153,6154,6157,6172,6174,6176,6178,6193,6194,6197,6199,6202,6203,6220,6228,6229,6230,6232,6234,6271,6272,6278,6281,6287,6291,6325,6327,6329,6331,6341,6343,6346,6352,6354,6359,6362,6370,6378,6380,6381,6388,6411,6412,6413,6414,6415,6417,6424,6429,6463,6464,6467,6468,6469,6471,6472,6473,6474,6481,6516,6517,6526,6547,6548,6572,6574,6586,6587,6593,6623,6625,6640,6680,6683,6684,6740,6763,6806,6821,6829,6838,6839,6840,6841,6861,6862,6869,6881,6884,6886,6888,6889,6890,6892,6906,6917,6918,6919,6932,6987,6998,7000,7023,7024,7060,7067,7074,7104,7124,7135,7191,7220,7277,7298,7307,7310,7370,7380,7443,7445,7459,7468,7469,7470,7487,7491,7493,7540,7550,7553,7568,7615,7617,7620,7664,7665,7683,7753,7771,7795,7819,7831,7845,7856,7867,7868,7894,7896,7898,7908,7946,7957,7982,8009,8042,8073,8106,8145,8161,8163,8179,8180,8247,8258,8323,8347,8366,8393,8432,8433,8450,8490,8492,8494,8500,8516,8520,8535,8556,8564,8566,8576,8581,8585,8586,8587,8588,8589,8590,8609,8624,8625,8643,8645,8649,8650,8651,8652,8653,8671,8672,8673,8683,8696,8699,8710,8715,8717,8719,8720,8721,8728,8734,8735,8743,8746,8763,8764,8773,8774,8782,8801,8814,8818,8839,8861,8862,8865,8866,8872,8881,8882,8905,8916,8926,8927,8928,8931,8954,8955,8966,9015,9025,9027,9043,9055,9056,9057,9068,9132,9163,9164,9165,9180,9197,9205,9233,9234,9303,9338,9344,9354,9355,9356,9365,9395,9411,9415,9419,9441,9442,9469,9533,9538,9541,9578,9579,9580,9608,9609,9625,9646,9652,9664,9689,9710,9719,9720,9721,9722,9737,9739,9744,9774,9775,9781,9782,9826,9827,9838,9839,9863,9881,9883,9884,9892,9897,9904,9928,9962,9964,9968,10018,10052,10062,10064,10068,10069,10071,10080,10081,10101,10106,10199,10291,10292,10293,10294,10353,10371,2,8,9,4652,4653,4671,4713,4715,4716,4739,4741,4742,4752,4797,4799,4847,4977,4978,4995,5019,5076,5077,5083,5084,5086,5088,5097,5100,5101,5109,5122,5123,5129,5150,5151,5169,5174,5175,5176,5177,5182,5190,5193,5200,5255,5260,5261,5266,5273,5304,5314,5319,5329,5346,5348,5355,5356,5358,5369,5387,5389,5390,5397,5404,5405,5417,5418,5419,5420,5422,5423,5428,5429,5430,5431,5462,5463,5464,5472,5473,5474,5475,5519,5524,5526,5562,5564,5565,5567,5568,5570,5571,5573,5582,5587,5589,5590,5591,5593,5595,5596,5597,5598,5599,5600,5609,5610,5620,5623,5634,5650,5651,5654,5664,5667,5668,5669,5696,5706,5721,5722,5731,5732,5734,5736,5741,5776,5781,5783,5842,5877,5878,5892,5898,5901,5902,5903,5904,5923,5927,5928,5937,5959,5992,6011,6012,6016,6017,6019,6042,6046,6049,6050,6051,6067,6078,6079,6112,6113,6117,6138,6141,6144,6166,6167,6195,6198,6207,6216,6218,6227,6231,6239,6240,6241,6242,6274,6275,6292,6345,6382,6384,6385,6408,6409,6416,6420,6421,6425,6439,6455,6476,6477,6482,6493,6496,6509,6529,6535,6537,6552,6553,6556,6557,6559,6561,6562,6563,6565,6567,6573,6579,6580,6582,6583,6589,6591,6633,6639,6654,6658,6659,6660,6694,6699,6701,6706,6707,6717,6721,6735,6758,6759,6761,6762,6773,6779,6798,6801,6822,6842,6855,6856,6857,6863,6877,6896,6898,6900,6902,6907,6913,6915,6929,6934,6935,6972,6973,6974,6989,6990,6992,6993,7013,7015,7030,7058,7082,7093,7095,7097,7099,7100,7132,7133,7134,7138,7139,7146,7147,7149,7151,7173,7182,7183,7194,7204,7244,7254,7260,7267,7278,7283,7285,7292,7300,7301,7314,7331,7352,7354,7373,7428,7429,7430,7432,7434,7438,7439,7444,7508,7536,7551,7567,7598,7602,7623,7648,7666,7669,7670,7680,7700,7702,7704,7706,7707,7708,7709,7710,7735,7761,7762,7794,7796,7797,7798,7804,7825,7842,7847,7853,7855,7863,7875,7876,7878,7899,7906,7927,7995,7996,7997,8045,8051,8052,8075,8076,8093,8094,8095,8152,8153,8182,8212,8221,8235,8250,8279,8283,8289,8301,8319,8324,8346,8391,8420,8434,8454,8457,8483,8509,8567,8568,8571,8572,8641,8675,8676,8677,8678,8705,8738,8767,8775,8776,8817,8838,8883,8899,8945,8948,8963,8970,9012,9051,9052,9070,9071,9085,9202,9207,9211,9231,9242,9265,9267,9270,9276,9278,9279,9290,9291,9310,9318,9329,9337,9381,9399,9454,9455,9461,9500,9525,9530,9570,9584,9588,9589,9593,9594,9607,9630,9645,9654,9655,9657,9659,9688,9808,9809,9858,9859,9898,9933,10043,10110,10265,10283,10288,3,2761,2762,2763,2765,2766,2773,2774,2775,2776,2778,2781,2783,2784,2786,2788,2800,2801,2802,2803,2804,2805,2806,2808,2809,2811,2812,2815,2816,2817,2818,2825,2826,2827,2828,2829,2832,2833,2834,2836,2838,2839,2840,2860,2861,2862,2863,2864,2865,2879,2880,2881,2882,2884,2885,2888,2890,2893,2898,2899,2900,2901,2902,2907,2908,2909,2912,2913,2935,2936,2943,2945,2959,2972,2973,2976,2979,2980,2981,2982,2983,2984,5345,5386,5535,5536,5537,5621,5720,5750,5784,5800,5802,5808,5870,5871,5872,5873,5890,5925,6062,6101,6111,6135,6170,6208,6361,6366,6406,6407,6430,6432,6434,6441,6442,6443,6444,6445,6446,6447,6448,6530,6603,6604,6693,6730,6731,6770,6771,6914,6928,6984,7002,7003,7009,7031,7064,7066,7070,7115,7136,7137,7155,7156,7193,7238,7239,7338,7407,7408,7409,7410,7427,7460,7513,7514,7522,7527,7528,7539,7570,7571,7572,7573,7717,7719,7720,7721,7727,7728,7802,7933,7936,7942,7943,7954,7992,7993,8071,8111,8165,8187,8188,8265,8359,8430,8431,8435,8469,8505,8531,8532,8599,8617,8618,8619,8620,8771,9029,9030,9099,9113,9166,9167,9287,9322,9349,9383,9424,9628,9751,9893,10079,10135,10137,5960,6514,6515,6606,6626,6627,7055,7276,8415,8612,8691,8939,9124,9125,9193,9194,9378,9472,9473,9474,9475,9691,9956,9970,10339,10340,6588,8523,8524,8995,9013,9957,10338,4686,4718,4719,4722,4764,4768,4773,4814,4911,4928,4958,4959,4990,4994,5053,5056,5116,5249,5289,5290,5292,5299,5300,5324,5363,5394,5416,5551,5626,5627,5628,5689,5746,5747,5773,5777,5836,5838,5847,5853,5941,6026,6133,6177,6235,6348,6475,6637,6675,6850,7110,7281,7515,7577,7913,7914,8162,8168,8864,8993])).
% 201.36/201.19 cnf(13708,plain,
% 201.36/201.19 (~P36(x137081,x137082,x137083,f315(f315(f143(x137084,x137081),x137085),f315(a101,f102(x137084))),f102(x137082))),
% 201.36/201.19 inference(rename_variables,[],[11427])).
% 201.36/201.19 cnf(13711,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x137111),x137112),f177(f901(x137111,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13720,plain,
% 201.36/201.19 (~P36(x137201,x137202,x137203,f315(f315(f143(x137204,x137201),x137205),f315(a101,f102(x137204))),f102(x137202))),
% 201.36/201.19 inference(rename_variables,[],[11427])).
% 201.36/201.19 cnf(13725,plain,
% 201.36/201.19 (E(f315(f272(x137251,x137251),f251(x137251,x137252)),x137252)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13730,plain,
% 201.36/201.19 (P107(f315(f315(f275(a893),x137301),x137301))),
% 201.36/201.19 inference(rename_variables,[],[3428])).
% 201.36/201.19 cnf(13742,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x137421),f315(f315(f74(a893),x137421),x137421)))),
% 201.36/201.19 inference(rename_variables,[],[3683])).
% 201.36/201.19 cnf(13747,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x137471,a891)),x137472),x137472))),
% 201.36/201.19 inference(rename_variables,[],[3716])).
% 201.36/201.19 cnf(13750,plain,
% 201.36/201.19 (P107(f315(f315(f317(x137501),f315(x137502,x137503)),f315(f298(x137504,x137501,x137502),f230(f901(x137504,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[4018])).
% 201.36/201.19 cnf(13756,plain,
% 201.36/201.19 (~P107(f315(f315(f223(a893),f315(a101,x137561)),x137561))),
% 201.36/201.19 inference(rename_variables,[],[4608])).
% 201.36/201.19 cnf(13761,plain,
% 201.36/201.19 (~E(f315(f315(f140(x137611),x137612),x137613),x137613)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(13766,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x137661),x137662),f315(f299(x137661,x137663,x137664),f177(f901(x137663,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11147])).
% 201.36/201.19 cnf(13769,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x137691),x137692),f177(f901(x137691,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13774,plain,
% 201.36/201.19 (P107(f315(f315(f275(a893),x137741),x137741))),
% 201.36/201.19 inference(rename_variables,[],[3428])).
% 201.36/201.19 cnf(13781,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x137811),x137812),f177(f901(x137811,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13786,plain,
% 201.36/201.19 (E(f315(f315(f123(x137861),f102(x137861)),x137862),x137862)),
% 201.36/201.19 inference(rename_variables,[],[3382])).
% 201.36/201.19 cnf(13795,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x137951),x137952),f177(f901(x137951,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13798,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x137981),x137982)),x137981))),
% 201.36/201.19 inference(rename_variables,[],[4623])).
% 201.36/201.19 cnf(13803,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x138031,x138031)),x138032),f251(x138031,f177(f901(x138031,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(13806,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x138061),x138062),f177(f901(x138061,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(13809,plain,
% 201.36/201.19 (P107(f315(f315(f224(a893),x138091),f315(a101,f315(f315(f73(a893),x138092),x138091))))),
% 201.36/201.19 inference(rename_variables,[],[3868])).
% 201.36/201.19 cnf(13820,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x138201,a891)),f315(f161(x138201),f165(x138201,x138202,x138203))),f315(f161(x138201),x138202)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(13823,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x138231),f315(f315(f73(a893),x138231),x138232)))),
% 201.36/201.19 inference(rename_variables,[],[3685])).
% 201.36/201.19 cnf(13826,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x138261),x138262)),x138261))),
% 201.36/201.19 inference(rename_variables,[],[4623])).
% 201.36/201.19 cnf(13829,plain,
% 201.36/201.19 (P107(f315(f315(f224(a1),f315(f315(f3(a1),x138291),f71(a1))),x138291))),
% 201.36/201.19 inference(rename_variables,[],[10955])).
% 201.36/201.19 cnf(13836,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f2(a893)),x138361))),
% 201.36/201.19 inference(rename_variables,[],[3447])).
% 201.36/201.19 cnf(13839,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x138391,x138391)),x138392),f251(x138391,f177(f901(x138391,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(13860,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x138601),x138602)),x138602))),
% 201.36/201.19 inference(rename_variables,[],[4622])).
% 201.36/201.19 cnf(13869,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x138691,a891)),f315(f161(x138691),f165(x138691,x138692,x138693))),f315(f161(x138691),x138692)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(13872,plain,
% 201.36/201.19 (E(f315(x138721,f315(f84(x138722,x138723,f230(f901(x138722,a891)),x138721),f315(x138721,x138724))),f315(x138721,x138724))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(13877,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),x138771),x138771))),
% 201.36/201.19 inference(rename_variables,[],[4600])).
% 201.36/201.19 cnf(13884,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x138841,x138841)),x138842),f251(x138841,f177(f901(x138841,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(13887,plain,
% 201.36/201.19 (~E(x138871,f315(a101,x138871))),
% 201.36/201.19 inference(rename_variables,[],[10479])).
% 201.36/201.19 cnf(13890,plain,
% 201.36/201.19 (~P107(f315(f315(f317(a893),x138901),f315(f270(a893),f2(a893))))),
% 201.36/201.19 inference(rename_variables,[],[12018])).
% 201.36/201.19 cnf(13893,plain,
% 201.36/201.19 (E(f315(x138931,f315(f84(x138932,x138933,f230(f901(x138932,a891)),x138931),f315(x138931,x138934))),f315(x138931,x138934))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(13905,plain,
% 201.36/201.19 (~E(f315(f315(f140(x139051),x139052),x139053),x139053)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(13908,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x139081,a891)),f315(f161(x139081),f165(x139081,x139082,x139083))),f315(f161(x139081),x139082)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(13911,plain,
% 201.36/201.19 (P107(f315(f315(f317(x139111),f315(x139112,x139113)),f315(f298(x139114,x139111,x139112),f230(f901(x139114,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[4018])).
% 201.36/201.19 cnf(13914,plain,
% 201.36/201.19 (~E(f315(f315(f90(a893),f315(a101,x139141)),x139141),f315(a101,x139141))),
% 201.36/201.19 inference(rename_variables,[],[11759])).
% 201.36/201.19 cnf(13923,plain,
% 201.36/201.19 (~P107(f315(f315(f317(a893),x139231),f315(f270(a893),f2(a893))))),
% 201.36/201.19 inference(rename_variables,[],[12018])).
% 201.36/201.19 cnf(13926,plain,
% 201.36/201.19 (E(f315(x139261,f315(f84(x139262,x139263,f230(f901(x139262,a891)),x139261),f315(x139261,x139264))),f315(x139261,x139264))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(13929,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),x139291),x139291))),
% 201.36/201.19 inference(rename_variables,[],[4600])).
% 201.36/201.19 cnf(13932,plain,
% 201.36/201.19 (~E(f315(f315(f140(x139321),x139322),x139323),x139323)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(13935,plain,
% 201.36/201.19 (E(f315(f272(x139351,x139351),f251(x139351,x139352)),x139352)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13942,plain,
% 201.36/201.19 (E(f315(f272(x139421,x139421),f251(x139421,x139422)),x139422)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(13955,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x139551),f315(f315(f74(a893),x139551),x139551)))),
% 201.36/201.19 inference(rename_variables,[],[3683])).
% 201.36/201.19 cnf(13960,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x139601,a891)),f177(f901(x139601,a891))),x139602))),
% 201.36/201.19 inference(rename_variables,[],[3867])).
% 201.36/201.19 cnf(13982,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x139821),f315(f315(f73(a893),x139821),x139822)))),
% 201.36/201.19 inference(rename_variables,[],[3685])).
% 201.36/201.19 cnf(13987,plain,
% 201.36/201.19 (P107(f315(f315(f224(a1),f315(f315(f3(a1),x139871),f71(a1))),x139871))),
% 201.36/201.19 inference(rename_variables,[],[10955])).
% 201.36/201.19 cnf(13990,plain,
% 201.36/201.19 (E(f315(f298(x139901,x139901,f25(x139901)),x139902),x139902)),
% 201.36/201.19 inference(rename_variables,[],[3483])).
% 201.36/201.19 cnf(13998,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x139981,x139981)),x139982),f251(x139981,f177(f901(x139981,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14001,plain,
% 201.36/201.19 (P33(x140011,f315(f275(a893),f315(a101,f2(a893))),x140012)),
% 201.36/201.19 inference(rename_variables,[],[11141])).
% 201.36/201.19 cnf(14006,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),x140061),x140061))),
% 201.36/201.19 inference(rename_variables,[],[4600])).
% 201.36/201.19 cnf(14009,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x140091,a891)),f315(f298(x140092,x140091,x140093),f315(f299(x140092,x140091,x140093),x140094))),x140094))),
% 201.36/201.19 inference(rename_variables,[],[4288])).
% 201.36/201.19 cnf(14015,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x140151,x140151)),x140152),f251(x140151,f177(f901(x140151,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14020,plain,
% 201.36/201.19 (~P107(f315(f315(f317(a893),x140201),f315(f270(a893),f2(a893))))),
% 201.36/201.19 inference(rename_variables,[],[12018])).
% 201.36/201.19 cnf(14026,plain,
% 201.36/201.19 (E(f315(f272(x140261,x140261),f251(x140261,x140262)),x140262)),
% 201.36/201.19 inference(rename_variables,[],[3387])).
% 201.36/201.19 cnf(14031,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x140311),x140312),f177(f901(x140311,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(14046,plain,
% 201.36/201.19 (P107(f315(f315(f275(a893),x140461),x140461))),
% 201.36/201.19 inference(rename_variables,[],[3428])).
% 201.36/201.19 cnf(14049,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x140491),x140492),f315(f298(x140493,x140491,x140494),f177(f901(x140493,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11392])).
% 201.36/201.19 cnf(14052,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x140521,a891)),f315(f161(x140521),f165(x140521,x140522,x140523))),f315(f161(x140521),x140522)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(14057,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x140571),x140572),f315(f299(x140571,x140573,x140574),f177(f901(x140573,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11147])).
% 201.36/201.19 cnf(14060,plain,
% 201.36/201.19 (~P107(f315(f315(f317(a893),x140601),f315(f270(a893),f2(a893))))),
% 201.36/201.19 inference(rename_variables,[],[12018])).
% 201.36/201.19 cnf(14067,plain,
% 201.36/201.19 (~P107(f315(f55(x140671,x140672,f177(f901(x140671,a891))),x140673))),
% 201.36/201.19 inference(rename_variables,[],[4621])).
% 201.36/201.19 cnf(14070,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),x140701),x140701))),
% 201.36/201.19 inference(rename_variables,[],[4600])).
% 201.36/201.19 cnf(14073,plain,
% 201.36/201.19 (~E(f315(f315(f90(a893),f315(a101,x140731)),x140731),f315(a101,x140731))),
% 201.36/201.19 inference(rename_variables,[],[11759])).
% 201.36/201.19 cnf(14076,plain,
% 201.36/201.19 (~P107(f315(f315(f223(a893),f315(f315(f74(a893),f315(a101,x140761)),f315(a101,x140761))),x140761))),
% 201.36/201.19 inference(rename_variables,[],[10894])).
% 201.36/201.19 cnf(14079,plain,
% 201.36/201.19 (~E(f315(f315(f140(x140791),x140792),x140793),f102(x140791))),
% 201.36/201.19 inference(rename_variables,[],[4583])).
% 201.36/201.19 cnf(14082,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(f894(x140821),f894(x140821))),f315(f315(f240(f894(x140821),f894(x140821)),x140822),f102(x140821))),f136(x140821,x140823)))),
% 201.36/201.19 inference(rename_variables,[],[4629])).
% 201.36/201.19 cnf(14096,plain,
% 201.36/201.19 (~E(f315(f315(f140(x140961),x140962),x140963),f102(x140961))),
% 201.36/201.19 inference(rename_variables,[],[4583])).
% 201.36/201.19 cnf(14099,plain,
% 201.36/201.19 (~E(x140991,f315(a101,x140991))),
% 201.36/201.19 inference(rename_variables,[],[10479])).
% 201.36/201.19 cnf(14102,plain,
% 201.36/201.19 (P36(x141021,x141022,x141023,f315(f315(f143(x141024,x141021),x141025),f103(x141024,f102(x141024))),f102(x141022))),
% 201.36/201.19 inference(rename_variables,[],[11431])).
% 201.36/201.19 cnf(14108,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x141081),x141082),f177(f901(x141081,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(14121,plain,
% 201.36/201.19 (~P107(f315(f315(f224(a893),f315(f315(f73(a893),x141211),x141212)),x141211))),
% 201.36/201.19 inference(rename_variables,[],[4623])).
% 201.36/201.19 cnf(14124,plain,
% 201.36/201.19 (~E(f315(f315(f140(x141241),x141242),x141243),x141243)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14135,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x141351,a891)),x141352),x141352))),
% 201.36/201.19 inference(rename_variables,[],[3716])).
% 201.36/201.19 cnf(14144,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x141441,x141441)),x141442),f251(x141441,f177(f901(x141441,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14149,plain,
% 201.36/201.19 (E(f315(f315(f123(x141491),x141492),f102(x141491)),x141492)),
% 201.36/201.19 inference(rename_variables,[],[3358])).
% 201.36/201.19 cnf(14156,plain,
% 201.36/201.19 (~P107(f315(f55(x141561,x141562,f177(f901(x141561,a891))),x141563))),
% 201.36/201.19 inference(rename_variables,[],[4621])).
% 201.36/201.19 cnf(14163,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x141631,a891)),x141632),x141632))),
% 201.36/201.19 inference(rename_variables,[],[3716])).
% 201.36/201.19 cnf(14173,plain,
% 201.36/201.19 (~P107(f315(f315(f177(f901(x141731,f901(x141732,a891))),x141733),x141734))),
% 201.36/201.19 inference(rename_variables,[],[4626])).
% 201.36/201.19 cnf(14178,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x141781),f315(f315(f74(a893),x141781),x141781)))),
% 201.36/201.19 inference(rename_variables,[],[3683])).
% 201.36/201.19 cnf(14202,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x142021),x142022),f315(f299(x142021,x142023,x142024),f177(f901(x142023,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11147])).
% 201.36/201.19 cnf(14219,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x142191,a891)),f315(f161(x142191),f165(x142191,x142192,x142193))),f315(f161(x142191),x142192)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(14222,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(f894(x142221),f894(x142221))),f315(f315(f240(f894(x142221),f894(x142221)),f102(x142221)),x142222)),f146(x142221,x142223)))),
% 201.36/201.19 inference(rename_variables,[],[4632])).
% 201.36/201.19 cnf(14241,plain,
% 201.36/201.19 (P107(f315(f315(f224(a1),f315(f315(f3(a1),x142411),f71(a1))),x142411))),
% 201.36/201.19 inference(rename_variables,[],[10955])).
% 201.36/201.19 cnf(14248,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x142481,a891)),f315(f161(x142481),f165(x142481,x142482,x142483))),f315(f161(x142481),x142482)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(14260,plain,
% 201.36/201.19 (~E(f315(f315(f140(x142601),x142602),x142603),x142603)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14275,plain,
% 201.36/201.19 (E(f315(f315(f123(x142751),x142752),f102(x142751)),x142752)),
% 201.36/201.19 inference(rename_variables,[],[3358])).
% 201.36/201.19 cnf(14283,plain,
% 201.36/201.19 (~E(f315(f315(f140(x142831),x142832),x142833),x142833)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14300,plain,
% 201.36/201.19 (~E(f315(f315(f140(x143001),x143002),x143003),x143003)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14305,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x143051,a891)),x143052),f315(f315(f99(f901(x143051,a891)),x143053),f230(f901(x143051,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11397])).
% 201.36/201.19 cnf(14322,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f2(a893)),x143221))),
% 201.36/201.19 inference(rename_variables,[],[3447])).
% 201.36/201.19 cnf(14327,plain,
% 201.36/201.19 (E(f315(f315(f123(x143271),x143272),f102(x143271)),x143272)),
% 201.36/201.19 inference(rename_variables,[],[3358])).
% 201.36/201.19 cnf(14346,plain,
% 201.36/201.19 (P107(f315(f315(f223(a1),x143461),x143461))),
% 201.36/201.19 inference(rename_variables,[],[3427])).
% 201.36/201.19 cnf(14349,plain,
% 201.36/201.19 (P107(f315(f315(f275(a893),x143491),x143491))),
% 201.36/201.19 inference(rename_variables,[],[3428])).
% 201.36/201.19 cnf(14354,plain,
% 201.36/201.19 (P107(f315(f315(f224(a1),f315(f315(f3(a1),x143541),f71(a1))),x143541))),
% 201.36/201.19 inference(rename_variables,[],[10955])).
% 201.36/201.19 cnf(14379,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x143791),f315(f315(f74(a893),x143791),x143791)))),
% 201.36/201.19 inference(rename_variables,[],[3683])).
% 201.36/201.19 cnf(14398,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x143981),f315(f315(f73(a893),x143981),x143982)))),
% 201.36/201.19 inference(rename_variables,[],[3685])).
% 201.36/201.19 cnf(14403,plain,
% 201.36/201.19 (E(f315(x144031,f315(f84(x144032,x144033,f230(f901(x144032,a891)),x144031),f315(x144031,x144034))),f315(x144031,x144034))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(14412,plain,
% 201.36/201.19 (E(f315(x144121,f315(f84(x144122,x144123,f230(f901(x144122,a891)),x144121),f315(x144121,x144124))),f315(x144121,x144124))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(14417,plain,
% 201.36/201.19 (~E(f315(f315(f140(x144171),x144172),x144173),x144173)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14427,plain,
% 201.36/201.19 (~P107(f315(f315(f223(a893),f315(f315(f74(a893),f315(a101,x144271)),f315(a101,x144271))),x144271))),
% 201.36/201.19 inference(rename_variables,[],[10894])).
% 201.36/201.19 cnf(14434,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x144341),x144342),f177(f901(x144341,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(14445,plain,
% 201.36/201.19 (P107(f315(f315(f223(f901(x144451,a891)),f315(f161(x144451),f165(x144451,x144452,x144453))),f315(f161(x144451),x144452)))),
% 201.36/201.19 inference(rename_variables,[],[4108])).
% 201.36/201.19 cnf(14461,plain,
% 201.36/201.19 (P107(f315(f315(f317(x144611),f315(x144612,x144613)),f315(f298(x144614,x144611,x144612),f230(f901(x144614,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[4018])).
% 201.36/201.19 cnf(14466,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),x144661),f315(f315(f74(a893),x144661),x144661)))),
% 201.36/201.19 inference(rename_variables,[],[3683])).
% 201.36/201.19 cnf(14469,plain,
% 201.36/201.19 (~E(f315(f315(f140(x144691),x144692),x144693),x144693)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14472,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x144721,x144721)),x144722),f251(x144721,f177(f901(x144721,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14491,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f2(a893)),x144911))),
% 201.36/201.19 inference(rename_variables,[],[3447])).
% 201.36/201.19 cnf(14494,plain,
% 201.36/201.19 (P107(f315(f315(f223(a893),f38(a893,x144941,x144942)),x144941))),
% 201.36/201.19 inference(rename_variables,[],[3875])).
% 201.36/201.19 cnf(14513,plain,
% 201.36/201.19 (~P107(f315(f55(x145131,x145132,f177(f901(x145131,a891))),x145133))),
% 201.36/201.19 inference(rename_variables,[],[4621])).
% 201.36/201.19 cnf(14528,plain,
% 201.36/201.19 (~E(f315(f315(f140(x145281),x145282),x145283),x145283)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14531,plain,
% 201.36/201.19 (~P107(f315(f315(f177(f901(x145311,f901(x145312,a891))),x145313),x145314))),
% 201.36/201.19 inference(rename_variables,[],[4626])).
% 201.36/201.19 cnf(14534,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x145341,x145341)),x145342),f251(x145341,f177(f901(x145341,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14542,plain,
% 201.36/201.19 (~P107(f315(f315(f223(a893),f315(f315(f74(a893),f315(a101,x145421)),f315(a101,x145421))),x145421))),
% 201.36/201.19 inference(rename_variables,[],[10894])).
% 201.36/201.19 cnf(14558,plain,
% 201.36/201.19 (~E(f315(f315(f297(x145581),x145582),x145583),f177(f901(x145581,a891)))),
% 201.36/201.19 inference(rename_variables,[],[4589])).
% 201.36/201.19 cnf(14582,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x145821,x145821)),x145822),f251(x145821,f177(f901(x145821,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14622,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(x146221,x146221)),x146222),f251(x146221,f177(f901(x146221,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[11144])).
% 201.36/201.19 cnf(14642,plain,
% 201.36/201.19 (~P107(f315(f315(f317(f900(f894(x146421),f894(x146421))),f315(f315(f240(f894(x146421),f894(x146421)),x146422),f102(x146421))),f134(x146421,x146423)))),
% 201.36/201.19 inference(rename_variables,[],[4628])).
% 201.36/201.19 cnf(14649,plain,
% 201.36/201.19 (~E(f315(f315(f140(x146491),x146492),x146493),x146493)),
% 201.36/201.19 inference(rename_variables,[],[4580])).
% 201.36/201.19 cnf(14664,plain,
% 201.36/201.19 (~P107(f315(f315(f317(x146641),x146642),f177(f901(x146641,a891))))),
% 201.36/201.19 inference(rename_variables,[],[4611])).
% 201.36/201.19 cnf(14669,plain,
% 201.36/201.19 (P107(f315(f315(f317(x146691),f315(x146692,x146693)),f315(f298(x146694,x146691,x146692),f230(f901(x146694,a891)))))),
% 201.36/201.19 inference(rename_variables,[],[4018])).
% 201.36/201.19 cnf(14695,plain,
% 201.36/201.19 (~E(f315(f315(f297(x146951),x146952),x146953),f177(f901(x146951,a891)))),
% 201.36/201.19 inference(rename_variables,[],[4589])).
% 201.36/201.19 cnf(14714,plain,
% 201.36/201.19 (E(f315(x147141,f315(f84(x147142,x147143,f230(f901(x147142,a891)),x147141),f315(x147141,x147144))),f315(x147141,x147144))),
% 201.36/201.19 inference(rename_variables,[],[11291])).
% 201.36/201.19 cnf(14774,plain,
% 201.36/201.19 ($false),
% 201.36/201.19 inference(scs_inference,[],[3453,3857,3455,4154,4192,4000,3223,3428,13730,13774,14046,14349,4624,4592,3429,4601,4052,3501,4594,3518,3870,4628,14642,3525,4018,13750,13911,14461,14669,4611,13711,13769,13781,13795,13806,14031,14108,14434,14664,4108,13820,13869,13908,14052,14219,14248,14445,3898,4573,4580,13761,13905,13932,14124,14260,14283,14300,14417,14469,14528,14649,4583,14079,14096,4589,14558,14695,3410,3505,4185,3426,3427,14346,3875,14494,3447,13836,14322,14491,3732,3865,3716,13747,14135,14163,3867,13960,3577,3683,13742,13955,14178,14379,14466,3685,13823,13982,14398,4288,14009,3868,13809,3869,3387,13725,13935,13942,14026,3358,14149,14275,14327,3271,3382,13786,4629,14082,4630,4632,14222,4600,13877,13929,14006,14070,4608,13756,4621,14067,14156,14513,4620,4626,14173,14531,4622,13860,4623,13798,13826,14121,3628,11759,13914,14073,10479,13887,14099,13353,10770,10536,12954,12082,12122,12731,11569,13538,10729,12491,12128,12995,10789,13008,11283,12733,12762,12769,11131,13458,11397,14305,11095,10955,13829,13987,14241,14354,12020,4405,3786,12791,11087,11126,11466,11421,11291,13872,13893,13926,14403,14412,14714,13474,11808,13271,11128,10594,11555,11518,10899,10717,3483,13990,3458,3372,11363,11448,11193,13259,13262,10904,13536,13572,11908,12434,12423,12529,13010,12016,12018,13890,13923,14020,14060,12068,10912,11353,11144,13803,13839,13884,13998,14015,14144,14472,14534,14582,14622,11147,13766,14057,14202,11392,14049,11499,11469,10894,14076,14427,14542,10999,12280,12283,11586,11404,13562,13590,11427,13708,13720,11162,11431,14102,12598,11306,11141,14001,12324,3065,9,6278,9892,10101,9469,5811,7124,8162,5755,8179,5055,6197,6593,7771,5394,6348,6869,5425,9689,7620,8926,7370,8882,5379,5528,7894,9964,4934,6359,5551,5847,9164,5054,5765,7023,9968,9579,6331,5241,10291,10081,8556,5555,5769,6472,7060,8763,6199,6329,5900,7459,7867,6415,9354,8814,5289,6178,8865,8931,5316,5125,5766,7277,9441,10199,7868,8954,8576,6172,5988,6637,8650,9646,4764,6850,4720,5375,6683,7443,8651,8720,7074,7896,10069,5411,5840,6889,8927,4718,5486,8774,4808,6193,6378,6463,6468,5098,5853,5777,6065,6881,7135,6414,9883,6623,8432,8672,10080,5242,6271,8652,9303,7468,6354,6526,8163,7908,6362,9904,6235,5250,5869,8746,9043,9897,5290,9826,9338,8643,9233,9775,5393,8168,8801,5292,6174,5718,8589,8699,8721,9355,9838,5639,5828,5888,7617,8581,8966,8490,9881,7540,5293,5479,5855,8564,8734,8782,8710,7298,6806,8258,6740,6412,8073,5194,4763,5300,5313,5816,6154,8106,6013,6157,6481,8585,5612,6388,10071,6467,4960,6056,9538,9664,8500,7665,5279,6640,4911,8145,10353,5416,6230,6918,6919,9625,8649,5445,6194,8,8587,9015,7493,2,5941,4813,5294,6763,8535,9739,7982,5964,6548,7307,5183,6917,9720,5640,5822,8347,5373,8494,6133,9719,5053,4990,4848,5317,6517,7664,9395,5818,5131,9057,6838,6094,6232,5826,6026,6287,7553,9721,6473,5687,8671,8861,10057,5543,6229,6587,6684,7104,6341,7491,5132,5407,6886,9608,9839,9863,5282,6110,6234,5401,5814,5685,8609,5249,6380,6892,9782,6987,5583,6572,6884,8520,7845,5838,5478,6516,10062,9027,8645,9132,9541,6424,4724,5299,9419,5184,4722,5656,5376,6176,6906,5399,6325,7445,9025,6862,5324,6018,7615,6272,8624,5758,7753,9068,6136,5979,5391,8728,6840,7220,8773,10294,5321,9163,9710,6052,6547,5466,5577,6417,6586,8588,6203,5875,7191,9737,5608,8492,9196,9533,9580,6007,4842,5380,6005,9928,7831,8818,8916,9356,5675,5833,5991,6861,8735,4961,6153,6574,4928,5126,5426,5719,5876,8180,5627,9055,10068,9234,6000,6890,6998,10058,7067,5773,6343,8450,6429,7898,5364,5413,9197,10371,8161,6469,7487,9180,9442,5363,5104,10106,5031,7683,4665,8764,8881,9827,7469,4770,5030,5751,8566,9415,6464,8683,9344,5432,7000,9722,6411,6841,5124,5913,6228,9365,6370,5476,8393,6839,5836,8009,5671,8366,6281,5264,7310,5628,8673,8955,9609,8717,5267,5810,8864,5468,6327,5626,5658,7024,7577,7957,8433,9781,5730,4719,4748]),
% 201.36/201.19 ['proof']).
% 201.36/201.19 % SZS output end Proof
% 201.36/201.19 % Total time :172.820000s
%------------------------------------------------------------------------------