TSTP Solution File: SWW319+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:07:20 EDT 2024
% Result : Theorem 225.11s 225.09s
% Output : CNFRefutation 225.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 06:11:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.60/0.65 start to proof:theBenchmark
% 224.67/224.94 %-------------------------------------------
% 224.67/224.94 % File :CSE---1.7
% 224.67/224.94 % Problem :theBenchmark
% 224.67/224.94 % Transform :cnf
% 224.67/224.94 % Format :tptp:raw
% 224.67/224.94 % Command :java -jar mcs_scs.jar %d %s
% 224.67/224.94
% 224.67/224.94 % Result :Theorem 184.850000s
% 224.67/224.94 % Output :CNFRefutation 184.850000s
% 224.67/224.94 %-------------------------------------------
% 224.67/224.94 %------------------------------------------------------------------------------
% 224.67/224.94 % File : SWW319+1 : TPTP v8.2.0. Released v5.2.0.
% 224.67/224.94 % Domain : Software Verification
% 224.67/224.94 % Problem : Hoare's Logic with Procedures 435026, 5000 axioms selected
% 224.67/224.94 % Version : Especial.
% 224.67/224.94 % English :
% 224.67/224.94
% 224.67/224.94 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 224.67/224.94 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 224.67/224.94 % Source : [Bla11]
% 224.67/224.94 % Names : hoare_435026.5000.p [Bla11]
% 224.67/224.95
% 224.67/224.95 % Status : ContradictoryAxioms
% 224.67/224.95 % Rating : 0.67 v8.2.0, 0.64 v8.1.0, 0.72 v7.5.0, 0.75 v7.4.0, 0.77 v7.3.0, 0.79 v7.1.0, 0.78 v7.0.0, 0.80 v6.4.0, 0.77 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.93 v5.4.0, 0.96 v5.3.0, 1.00 v5.2.0
% 224.67/224.95 % Syntax : Number of formulae : 5227 (1675 unt; 0 def)
% 224.67/224.95 % Number of atoms : 12728 (4454 equ)
% 224.67/224.95 % Maximal formula atoms : 13 ( 2 avg)
% 224.67/224.95 % Number of connectives : 8494 ( 993 ~; 152 |; 719 &)
% 224.67/224.95 % ( 904 <=>;5726 =>; 0 <=; 0 <~>)
% 224.67/224.95 % Maximal formula depth : 22 ( 6 avg)
% 224.67/224.95 % Maximal term depth : 19 ( 2 avg)
% 224.67/224.95 % Number of predicates : 148 ( 147 usr; 0 prp; 1-6 aty)
% 224.67/224.95 % Number of functors : 385 ( 385 usr; 50 con; 0-7 aty)
% 224.67/224.95 % Number of variables : 16628 (16473 !; 155 ?)
% 224.67/224.95 % SPC : FOF_THM_RFO_SEQ
% 224.67/224.95
% 224.67/224.95 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 224.67/224.95 % 2011-03-01 11:47:21
% 224.67/224.95 %------------------------------------------------------------------------------
% 224.67/224.95 %----Relevant facts (4983)
% 224.67/224.95 fof(fact_ext,axiom,
% 224.67/224.95 ! [V_g_2,V_f_2] :
% 224.67/224.95 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 224.67/224.95 => V_f_2 = V_g_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_empty,axiom,
% 224.67/224.95 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 224.67/224.95 ! [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))) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_cut,axiom,
% 224.67/224.95 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 224.67/224.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_hoare__derivs_Oinsert,axiom,
% 224.67/224.95 ! [V_tsa_2,V_ta_2,V_Ga_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_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))))
% 224.67/224.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2)
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_ta_2),V_tsa_2)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_empty__not__insert,axiom,
% 224.67/224.95 ! [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) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insert__not__empty,axiom,
% 224.67/224.95 ! [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)) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_doubleton__eq__iff,axiom,
% 224.67/224.95 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.67/224.95 ( 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))))
% 224.67/224.95 <=> ( ( V_a_2 = V_c_2
% 224.67/224.95 & V_b_2 = V_d_2 )
% 224.67/224.95 | ( V_a_2 = V_d_2
% 224.67/224.95 & V_b_2 = V_c_2 ) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_singleton__inject,axiom,
% 224.67/224.95 ! [V_b_2,V_a_2,T_b] :
% 224.67/224.95 ( 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)))
% 224.67/224.95 => V_a_2 = V_b_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_bot__apply,axiom,
% 224.67/224.95 ! [V_x_2,T_c,T_b] :
% 224.67/224.95 ( class_Orderings_Obot(T_b)
% 224.67/224.95 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_the__elem__eq,axiom,
% 224.67/224.95 ! [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 ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insert__absorb2,axiom,
% 224.67/224.95 ! [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) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insert__commute,axiom,
% 224.67/224.95 ! [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)) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insert__code,axiom,
% 224.67/224.95 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 224.67/224.95 <=> ( V_y_2 = V_x_2
% 224.67/224.95 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_fold1Set__sing,axiom,
% 224.67/224.95 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 224.67/224.95 ( 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))
% 224.67/224.95 <=> V_a_2 = V_b_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_folding__one_Osingleton,axiom,
% 224.67/224.95 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 224.67/224.95 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.95 => 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 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_hoare__derivs_OSkip,axiom,
% 224.67/224.95 ! [V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_triple_Oinject,axiom,
% 224.67/224.95 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2) = c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_H_2,V_com_H_2,V_fun2_H_2)
% 224.67/224.95 <=> ( V_fun1_2 = V_fun1_H_2
% 224.67/224.95 & V_com_2 = V_com_H_2
% 224.67/224.95 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_fold1Set__nonempty,axiom,
% 224.67/224.95 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 224.67/224.95 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_empty__fold1SetE,axiom,
% 224.67/224.95 ! [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)) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 224.67/224.95 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_a2_2,c_Com_Ocom_OSKIP,V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_triple_Orecs,axiom,
% 224.67/224.95 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_triple_Osimps_I2_J,axiom,
% 224.67/224.95 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,c_Hoare__Mirabelle_Otriple_Otriple(T_c,V_fun1_2,V_com_2,V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_conseq1,axiom,
% 224.67/224.95 ! [V_P_2,V_Q_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.67/224.95 => ( ! [B_Z,B_s] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 224.67/224.95 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_conseq2,axiom,
% 224.67/224.95 ! [V_Q_2,V_Q_H_2,V_c_2,V_P_2,V_Ga_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.67/224.95 => ( ! [B_Z,B_s] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 224.67/224.95 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_Comp,axiom,
% 224.67/224.95 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_Ga_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.67/224.95 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Q_2,V_d_2,V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSemi(V_c_2,V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_conseq12,axiom,
% 224.67/224.95 ! [V_Q_2,V_P_2,V_Q_H_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 224.67/224.95 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_H_2,V_c_2,V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.67/224.95 => ( ! [B_Z,B_s] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 224.67/224.95 => ! [B_s_H] :
% 224.67/224.95 ( ! [B_Z_H] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 224.67/224.95 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 224.67/224.95 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) )
% 224.67/224.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_fold1__singleton__def,axiom,
% 224.67/224.95 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 224.67/224.95 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 224.67/224.95 => 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 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_fold1__singleton,axiom,
% 224.67/224.95 ! [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 ).
% 224.67/224.95
% 224.67/224.95 fof(fact_subset__singletonD,axiom,
% 224.67/224.95 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.95 ( 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)))))
% 224.67/224.95 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.95 | 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))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_singletonE,axiom,
% 224.67/224.95 ! [V_a_2,V_b_2,T_b] :
% 224.67/224.95 ( 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)))))
% 224.67/224.95 => V_b_2 = V_a_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_singleton__iff,axiom,
% 224.67/224.95 ! [V_a_2,V_b_2,T_b] :
% 224.67/224.95 ( 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)))))
% 224.67/224.95 <=> V_b_2 = V_a_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_folding__image__simple_Oempty,axiom,
% 224.67/224.95 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.95 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.95 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_order__refl,axiom,
% 224.67/224.95 ! [V_x,T_a] :
% 224.67/224.95 ( class_Orderings_Opreorder(T_a)
% 224.67/224.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_equalityCE,axiom,
% 224.67/224.95 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 224.67/224.95 ( V_A_2 = V_B_2
% 224.67/224.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.95 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 224.67/224.95 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_equalityI,axiom,
% 224.67/224.95 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.95 => V_A_2 = V_B_2 ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_emptyE,axiom,
% 224.67/224.95 ! [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)))) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insertE,axiom,
% 224.67/224.95 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 224.67/224.95 => ( V_a_2 != V_b_2
% 224.67/224.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_insertCI,axiom,
% 224.67/224.95 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 224.67/224.95 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 224.67/224.95 => V_a_2 = V_b_2 )
% 224.67/224.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_subsetD,axiom,
% 224.67/224.95 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_empty__subsetI,axiom,
% 224.67/224.95 ! [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)) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_subset__refl,axiom,
% 224.67/224.95 ! [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)) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_le__fun__def,axiom,
% 224.67/224.95 ! [V_g_2,V_f_2,T_b,T_c] :
% 224.67/224.95 ( class_Orderings_Oord(T_c)
% 224.67/224.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.67/224.95 <=> ! [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))) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_mem__def,axiom,
% 224.67/224.95 ! [V_A_2,V_x_2,T_b] :
% 224.67/224.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.95 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_linorder__linear,axiom,
% 224.67/224.95 ! [V_y,V_x,T_a] :
% 224.67/224.95 ( class_Orderings_Olinorder(T_a)
% 224.67/224.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_set__eq__subset,axiom,
% 224.67/224.95 ! [T_b,V_B_2,V_A_2] :
% 224.67/224.95 ( V_A_2 = V_B_2
% 224.67/224.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_order__eq__iff,axiom,
% 224.67/224.95 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.95 ( class_Orderings_Oorder(T_b)
% 224.67/224.95 => ( V_x_2 = V_y_2
% 224.67/224.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 224.67/224.95
% 224.67/224.95 fof(fact_equalityD1,axiom,
% 224.67/224.95 ! [T_b,V_B_2,V_A_2] :
% 224.67/224.96 ( V_A_2 = V_B_2
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_equalityD2,axiom,
% 224.67/224.96 ! [T_b,V_B_2,V_A_2] :
% 224.67/224.96 ( V_A_2 = V_B_2
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_order__eq__refl,axiom,
% 224.67/224.96 ! [V_y,V_x,T_a] :
% 224.67/224.96 ( class_Orderings_Opreorder(T_a)
% 224.67/224.96 => ( V_x = V_y
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_le__funD,axiom,
% 224.67/224.96 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 224.67/224.96 ( class_Orderings_Oord(T_c)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.67/224.96 => 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))) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_eqset__imp__iff,axiom,
% 224.67/224.96 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 224.67/224.96 ( V_A_2 = V_B_2
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_eqelem__imp__iff,axiom,
% 224.67/224.96 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 224.67/224.96 ( V_x_2 = V_y_2
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_in__mono,axiom,
% 224.67/224.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_order__antisym__conv,axiom,
% 224.67/224.96 ! [V_x_2,V_y_2,T_b] :
% 224.67/224.96 ( class_Orderings_Oorder(T_b)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.96 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_eq__mem__trans,axiom,
% 224.67/224.96 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 224.67/224.96 ( V_a_2 = V_b_2
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_ord__eq__le__trans,axiom,
% 224.67/224.96 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.96 ( class_Orderings_Oord(T_a)
% 224.67/224.96 => ( V_a = V_b
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_xt1_I3_J,axiom,
% 224.67/224.96 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.96 ( class_Orderings_Oorder(T_a)
% 224.67/224.96 => ( V_a = V_b
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_set__rev__mp,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_set__mp,axiom,
% 224.67/224.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__trans,axiom,
% 224.67/224.96 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_ord__le__eq__trans,axiom,
% 224.67/224.96 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.96 ( class_Orderings_Oord(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.96 => ( V_b = V_c
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_xt1_I4_J,axiom,
% 224.67/224.96 ! [V_c,V_a,V_b,T_a] :
% 224.67/224.96 ( class_Orderings_Oorder(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.67/224.96 => ( V_b = V_c
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_order__antisym,axiom,
% 224.67/224.96 ! [V_y,V_x,T_a] :
% 224.67/224.96 ( class_Orderings_Oorder(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.96 => V_x = V_y ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_order__trans,axiom,
% 224.67/224.96 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.96 ( class_Orderings_Opreorder(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_xt1_I5_J,axiom,
% 224.67/224.96 ! [V_x,V_y,T_a] :
% 224.67/224.96 ( class_Orderings_Oorder(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.96 => V_x = V_y ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_xt1_I6_J,axiom,
% 224.67/224.96 ! [V_z,V_x,V_y,T_a] :
% 224.67/224.96 ( class_Orderings_Oorder(T_a)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_equalityE,axiom,
% 224.67/224.96 ! [T_b,V_B_2,V_A_2] :
% 224.67/224.96 ( V_A_2 = V_B_2
% 224.67/224.96 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_le__funE,axiom,
% 224.67/224.96 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 224.67/224.96 ( class_Orderings_Oord(T_c)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.67/224.96 => 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))) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_linorder__le__cases,axiom,
% 224.67/224.96 ! [V_y,V_x,T_a] :
% 224.67/224.96 ( class_Orderings_Olinorder(T_a)
% 224.67/224.96 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__insert,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 224.67/224.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => ( 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)))
% 224.67/224.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insert__subset,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 224.67/224.96 ( 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))
% 224.67/224.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_bot__least,axiom,
% 224.67/224.96 ! [V_x,T_a] :
% 224.67/224.96 ( class_Orderings_Obot(T_a)
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_all__not__in__conv,axiom,
% 224.67/224.96 ! [V_A_2,T_b] :
% 224.67/224.96 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.96 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_ex__in__conv,axiom,
% 224.67/224.96 ! [V_A_2,T_b] :
% 224.67/224.96 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.96 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_empty__iff,axiom,
% 224.67/224.96 ! [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)))) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_equals0D,axiom,
% 224.67/224.96 ! [V_a_2,T_b,V_A_2] :
% 224.67/224.96 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.96 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__empty,axiom,
% 224.67/224.96 ! [V_A_2,T_b] :
% 224.67/224.96 ( 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))))
% 224.67/224.96 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insertI1,axiom,
% 224.67/224.96 ! [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))) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insert__iff,axiom,
% 224.67/224.96 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 224.67/224.96 <=> ( V_a_2 = V_b_2
% 224.67/224.96 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insert__ident,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 224.67/224.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.96 => ( 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)
% 224.67/224.96 <=> V_A_2 = V_B_2 ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insertI2,axiom,
% 224.67/224.96 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insert__absorb,axiom,
% 224.67/224.96 ! [V_A_2,V_a_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.96 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__insertI,axiom,
% 224.67/224.96 ! [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_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__insertI2,axiom,
% 224.67/224.96 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.96 => 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_b_2),V_B_2))) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_insert__mono,axiom,
% 224.67/224.96 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_asm,axiom,
% 224.67/224.96 ! [V_Ga_2,V_tsa_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_Ga_2))
% 224.67/224.96 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_weaken,axiom,
% 224.67/224.96 ! [V_tsa_2,V_ts_H_2,V_Ga_2,T_b] :
% 224.67/224.96 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2))
% 224.67/224.96 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_thin,axiom,
% 224.67/224.96 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 224.67/224.96 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 224.67/224.96 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_com_Osimps_I13_J,axiom,
% 224.67/224.96 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 224.67/224.96
% 224.67/224.96 fof(fact_com_Osimps_I12_J,axiom,
% 224.67/224.96 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_fold1Set_Ointros,axiom,
% 224.67/224.96 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 224.67/224.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.96 => 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)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_folding__one_Oinsert,axiom,
% 224.67/224.96 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.96 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.96 => 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)) ) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_com_Osimps_I3_J,axiom,
% 224.67/224.96 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 224.67/224.96 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 224.67/224.96 <=> ( V_com1_2 = V_com1_H_2
% 224.67/224.96 & V_com2_2 = V_com2_H_2 ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subset__insert__iff,axiom,
% 224.67/224.96 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 224.67/224.96 ( 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)))
% 224.67/224.96 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => 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),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)) )
% 224.67/224.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_diff__single__insert,axiom,
% 224.67/224.96 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 224.67/224.96 ( 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),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))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.96 => 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))) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_nonempty__iff,axiom,
% 224.67/224.96 ! [T_b,V_A_2] :
% 224.67/224.96 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.96 <=> ? [B_x,B_B] :
% 224.67/224.96 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 224.67/224.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_folding__image__simple_Oinsert,axiom,
% 224.67/224.96 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.96 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 224.67/224.96 => 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)) ) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_predicate1D,axiom,
% 224.67/224.96 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 224.67/224.96 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.67/224.96 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_rev__predicate1D,axiom,
% 224.67/224.96 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 224.67/224.96 ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.67/224.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 224.67/224.96 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_subsetI,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.96 ( ! [B_x] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) )
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_finite_OemptyI,axiom,
% 224.67/224.96 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_finite_OinsertI,axiom,
% 224.67/224.96 ! [V_a_2,V_A_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_DiffE,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.67/224.96 ( 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)))
% 224.67/224.96 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.67/224.96
% 224.67/224.96 fof(fact_DiffI,axiom,
% 224.67/224.96 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.67/224.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 224.67/224.97 => 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))) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__Diff,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => 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))) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph__imp__finite,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 224.67/224.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__Diff2,axiom,
% 224.67/224.97 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.97 => ( 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)))
% 224.67/224.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__idemp,axiom,
% 224.67/224.97 ! [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) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__code,axiom,
% 224.67/224.97 ! [V_A_2,T_b] :
% 224.67/224.97 ( class_Finite__Set_Ofinite(T_b)
% 224.67/224.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite,axiom,
% 224.67/224.97 ! [V_A_2,T_b] :
% 224.67/224.97 ( class_Finite__Set_Ofinite(T_b)
% 224.67/224.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__Diff__insert,axiom,
% 224.67/224.97 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 224.67/224.97 ( 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),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 224.67/224.97 <=> 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))) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_DiffD2,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.67/224.97 ( 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)))
% 224.67/224.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_DiffD1,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.67/224.97 ( 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)))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__iff,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.67/224.97 ( 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)))
% 224.67/224.97 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.97 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__cancel,axiom,
% 224.67/224.97 ! [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)) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__empty,axiom,
% 224.67/224.97 ! [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 ).
% 224.67/224.97
% 224.67/224.97 fof(fact_empty__Diff,axiom,
% 224.67/224.97 ! [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)) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_double__diff,axiom,
% 224.67/224.97 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.67/224.97 => 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 ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__mono,axiom,
% 224.67/224.97 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 224.67/224.97 => 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),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__subset,axiom,
% 224.67/224.97 ! [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)) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite_Oequations_I1_J,axiom,
% 224.67/224.97 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__insert,axiom,
% 224.67/224.97 ! [V_A_2,V_a_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 224.67/224.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__subset,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_rev__finite__subset,axiom,
% 224.67/224.97 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_empty__fold__graphE,axiom,
% 224.67/224.97 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( 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))
% 224.67/224.97 => V_x_2 = V_z_2 ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph_OemptyI,axiom,
% 224.67/224.97 ! [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)) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 224.67/224.97 ! [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)) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff1__fold__graph,axiom,
% 224.67/224.97 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( 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))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => 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))) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one_Oinsert__remove,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( ( 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))
% 224.67/224.97 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 224.67/224.97 & ( 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))
% 224.67/224.97 => 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)))))) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.97 => 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)))))) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_insert__Diff__if,axiom,
% 224.67/224.97 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 224.67/224.97 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.97 => 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)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 224.67/224.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.97 => 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)),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)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_insert__Diff1,axiom,
% 224.67/224.97 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.97 => 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)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_insert__Diff__single,axiom,
% 224.67/224.97 ! [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) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__insert2,axiom,
% 224.67/224.97 ! [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) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__insert,axiom,
% 224.67/224.97 ! [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)))) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one_Oremove,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => ( ( 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))
% 224.67/224.97 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 224.67/224.97 & ( 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))
% 224.67/224.97 => 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)))))) ) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__image__simple_Oremove,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 224.67/224.97 => 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)))))) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph_OinsertI,axiom,
% 224.67/224.97 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 224.67/224.97 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 224.67/224.97 => 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))) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one_Oeq__fold,axiom,
% 224.67/224.97 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_insert__Diff,axiom,
% 224.67/224.97 ! [V_A_2,V_a_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.97 => 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 ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_Diff__insert__absorb,axiom,
% 224.67/224.97 ! [V_A_2,V_x_2,T_b] :
% 224.67/224.97 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => 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 ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_eq__mem,axiom,
% 224.67/224.97 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 224.67/224.97 <=> V_x_2 = V_y_2 ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_minus__apply,axiom,
% 224.67/224.97 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.67/224.97 ( class_Groups_Ominus(T_b)
% 224.67/224.97 => 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)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_diff__eq__diff__less__eq,axiom,
% 224.67/224.97 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.67/224.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.67/224.97 => ( 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)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 224.67/224.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one_Oclosed,axiom,
% 224.67/224.97 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ( ! [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))))))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__empty__induct,axiom,
% 224.67/224.97 ! [V_P_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 224.67/224.97 => ( ! [B_a,B_A] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,B_A))
% 224.67/224.97 => 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)))))) ) ) )
% 224.67/224.97 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__subset__induct,axiom,
% 224.67/224.97 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 224.67/224.97 => ( ! [B_a,B_F] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,B_F))
% 224.67/224.97 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 224.67/224.97 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.97 => 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) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => 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)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold1Set_Oequations,axiom,
% 224.67/224.97 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 224.67/224.97 ( 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))
% 224.67/224.97 <=> ? [B_a,B_A] :
% 224.67/224.97 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 224.67/224.97 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 224.67/224.97 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_insert__fold1SetE,axiom,
% 224.67/224.97 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 224.67/224.97 ( 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))
% 224.67/224.97 => ~ ! [B_a,B_A] :
% 224.67/224.97 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph__permute__diff,axiom,
% 224.67/224.97 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.97 => ( 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))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 224.67/224.97 => 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)) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold1__insert,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => 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)) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 224.67/224.97 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_a)
% 224.67/224.97 => 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)) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_mult__left__idem,axiom,
% 224.67/224.97 ! [V_b,V_a,T_a] :
% 224.67/224.97 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 224.67/224.97 => 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) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_mult__idem,axiom,
% 224.67/224.97 ! [V_x,T_a] :
% 224.67/224.97 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 224.67/224.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_times_Oidem,axiom,
% 224.67/224.97 ! [V_a,T_a] :
% 224.67/224.97 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 224.67/224.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one__idem_Oidem,axiom,
% 224.67/224.97 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.67/224.97 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph__insert__swap,axiom,
% 224.67/224.97 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.97 => ( 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))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 224.67/224.97 => 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))) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_diff__eq__diff__eq,axiom,
% 224.67/224.97 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__group__add(T_b)
% 224.67/224.97 => ( 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)
% 224.67/224.97 => ( V_a_2 = V_b_2
% 224.67/224.97 <=> V_c_2 = V_d_2 ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__one__idem_Oin__idem,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold1__insert__idem,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.97 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => 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)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold1__in,axiom,
% 224.67/224.97 ! [V_A_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ( ! [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))))))
% 224.67/224.97 => 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)) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_psubset__insert__iff,axiom,
% 224.67/224.97 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 224.67/224.97 ( 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)))
% 224.67/224.97 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 224.67/224.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 224.67/224.97 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => 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)) )
% 224.67/224.97 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 224.67/224.97 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.97 => 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) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold1__eq__fold,axiom,
% 224.67/224.97 ! [V_a_2,V_A_2,T_b] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.97 => 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) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.97 => 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,V_A_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__induct,axiom,
% 224.67/224.97 ! [V_P_2,V_F_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 224.67/224.97 => ( ! [B_x,B_F] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 224.67/224.97 => ( hBOOL(hAPP(V_P_2,B_F))
% 224.67/224.97 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 224.67/224.97 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 224.67/224.97 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.97 => ( 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)
% 224.67/224.97 => 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)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 224.67/224.97 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.97 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 224.67/224.97 => 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) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_semilattice__big_OF__eq,axiom,
% 224.67/224.97 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.97 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_fold__image__insert,axiom,
% 224.67/224.97 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 224.67/224.97 ( class_Groups_Oab__semigroup__mult(T_c)
% 224.67/224.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.97 => 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)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_finite__nonempty__imp__fold1Set,axiom,
% 224.67/224.97 ! [V_f_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.97 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),B_x1)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_linorder__cases,axiom,
% 224.67/224.97 ! [V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Olinorder(T_a)
% 224.67/224.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.97 => ( V_x != V_y
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__asym,axiom,
% 224.67/224.97 ! [V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Opreorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_xt1_I10_J,axiom,
% 224.67/224.97 ! [V_z,V_x,V_y,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__trans,axiom,
% 224.67/224.97 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Opreorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_xt1_I2_J,axiom,
% 224.67/224.97 ! [V_c,V_a,V_b,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.67/224.97 => ( V_b = V_c
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_ord__less__eq__trans,axiom,
% 224.67/224.97 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.97 ( class_Orderings_Oord(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.97 => ( V_b = V_c
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_psubset__trans,axiom,
% 224.67/224.97 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.67/224.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_xt1_I1_J,axiom,
% 224.67/224.97 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( V_a = V_b
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_ord__eq__less__trans,axiom,
% 224.67/224.97 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.97 ( class_Orderings_Oord(T_a)
% 224.67/224.97 => ( V_a = V_b
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 224.67/224.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_xt1_I9_J,axiom,
% 224.67/224.97 ! [V_a,V_b,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.67/224.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__asym_H,axiom,
% 224.67/224.97 ! [V_b,V_a,T_a] :
% 224.67/224.97 ( class_Orderings_Opreorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__imp__not__eq2,axiom,
% 224.67/224.97 ! [V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.97 => V_y != V_x ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__imp__not__eq,axiom,
% 224.67/224.97 ! [V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Oorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.97 => V_x != V_y ) ) ).
% 224.67/224.97
% 224.67/224.97 fof(fact_order__less__imp__not__less,axiom,
% 224.67/224.97 ! [V_y,V_x,T_a] :
% 224.67/224.97 ( class_Orderings_Opreorder(T_a)
% 224.67/224.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__less__not__sym,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_less__imp__neq,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => V_x != V_y ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__neqE,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( V_x != V_y
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__antisym__conv3,axiom,
% 224.67/224.98 ! [V_x_2,V_y_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__less__linear,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 | V_x = V_y
% 224.67/224.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_not__less__iff__gr__or__eq,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 224.67/224.98 | V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__neq__iff,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( V_x_2 != V_y_2
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__less__irrefl,axiom,
% 224.67/224.98 ! [V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_a)
% 224.67/224.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 224.67/224.98 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.98 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 224.67/224.98 ! [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) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 224.67/224.98 ! [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) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__empty,axiom,
% 224.67/224.98 ! [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 ).
% 224.67/224.98
% 224.67/224.98 fof(fact_less__fun__def,axiom,
% 224.67/224.98 ! [V_g_2,V_f_2,T_b,T_c] :
% 224.67/224.98 ( class_Orderings_Oord(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.67/224.98 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_xt1_I8_J,axiom,
% 224.67/224.98 ! [V_z,V_x,V_y,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__le__less__trans,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_xt1_I7_J,axiom,
% 224.67/224.98 ! [V_z,V_x,V_y,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__less__le__trans,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_xt1_I11_J,axiom,
% 224.67/224.98 ! [V_a,V_b,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.67/224.98 => ( V_a != V_b
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__le__neq__trans,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => ( V_a != V_b
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__le__imp__less__or__eq,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 | V_x = V_y ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__antisym__conv2,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__less__imp__le,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_leD,axiom,
% 224.67/224.98 ! [V_x,V_y,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_xt1_I12_J,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( V_a != V_b
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__neq__le__trans,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Oorder(T_a)
% 224.67/224.98 => ( V_a != V_b
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__antisym__conv1,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_not__leE,axiom,
% 224.67/224.98 ! [V_x,V_y,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_leI,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__le__less,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Oorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 | V_x_2 = V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_less__le__not__le,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Opreorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_order__less__le,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Oorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 & V_x_2 != V_y_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__le__less__linear,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__not__le,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_linorder__not__less,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_psubsetD,axiom,
% 224.67/224.98 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_not__psubset__empty,axiom,
% 224.67/224.98 ! [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)))) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_diff__eq__diff__less,axiom,
% 224.67/224.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.67/224.98 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.67/224.98 => ( 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)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_subset__psubset__trans,axiom,
% 224.67/224.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_psubset__subset__trans,axiom,
% 224.67/224.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_psubset__imp__subset,axiom,
% 224.67/224.98 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_subset__iff__psubset__eq,axiom,
% 224.67/224.98 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 | V_A_2 = V_B_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_psubset__eq,axiom,
% 224.67/224.98 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 & V_A_2 != V_B_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__image__empty,axiom,
% 224.67/224.98 ! [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 ).
% 224.67/224.98
% 224.67/224.98 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 224.67/224.98 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 224.67/224.98 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold1__eq__fold__idem,axiom,
% 224.67/224.98 ! [V_a_2,V_A_2,T_b] :
% 224.67/224.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_folding__one_Oeq__fold_H,axiom,
% 224.67/224.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 224.67/224.98 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_comm__monoid__big_OF__eq,axiom,
% 224.67/224.98 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 224.67/224.98 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.98 => 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) )
% 224.67/224.98 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.98 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 224.67/224.98 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 224.67/224.98 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 224.67/224.98 ( 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))
% 224.67/224.98 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.98 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 224.67/224.98 | ? [B_x,B_y] :
% 224.67/224.98 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 224.67/224.98 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 224.67/224.98 & 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) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 224.67/224.98 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 224.67/224.98 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 224.67/224.98 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 224.67/224.98 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff1__ring,axiom,
% 224.67/224.98 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Rings_Oring(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff1,axiom,
% 224.67/224.98 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Oab__group__add(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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)) )
% 224.67/224.98 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setprod_Oremove,axiom,
% 224.67/224.98 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 224.67/224.98 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.67/224.98 => 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) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 224.67/224.98 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm,axiom,
% 224.67/224.98 ! [T_b] :
% 224.67/224.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.67/224.98 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm__idem__insert,axiom,
% 224.67/224.98 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm__idem,axiom,
% 224.67/224.98 ! [T_b] :
% 224.67/224.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.67/224.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 224.67/224.98 => V_y_2 = V_x_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff__nat,axiom,
% 224.67/224.98 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 224.67/224.98 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setprod__insert,axiom,
% 224.67/224.98 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setprod_Oinsert,axiom,
% 224.67/224.98 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff1__nat,axiom,
% 224.67/224.98 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 224.67/224.98 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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)) )
% 224.67/224.98 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff,axiom,
% 224.67/224.98 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Oab__group__add(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 224.67/224.98 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 224.67/224.98 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setprod_Oinsert__remove,axiom,
% 224.67/224.98 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 224.67/224.98 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 224.67/224.98 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.67/224.98 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 224.67/224.98 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 224.67/224.98 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => ? [B_y_H] :
% 224.67/224.98 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 224.67/224.98 & 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)) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__strict__mono,axiom,
% 224.67/224.98 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.98 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.98 => ( ! [B_x] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 224.67/224.98 => 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))) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum__diff1_H,axiom,
% 224.67/224.98 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum_Oremove,axiom,
% 224.67/224.98 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 224.67/224.98 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 224.67/224.98 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.67/224.98 => ( 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)),V_v_2))
% 224.67/224.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => ~ ! [B_y] :
% 224.67/224.98 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 224.67/224.98 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold__image__cong,axiom,
% 224.67/224.98 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Oab__semigroup__mult(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( ! [B_x] :
% 224.67/224.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.98 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 224.67/224.98 => 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) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_setsum_Oinsert__remove,axiom,
% 224.67/224.98 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 224.67/224.98 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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)))))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_fold1__antimono,axiom,
% 224.67/224.98 ! [V_B_2,V_A_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => 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))) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__Diff1__less,axiom,
% 224.67/224.98 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__Diff2__less,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_Max__mono,axiom,
% 224.67/224.98 ! [V_N_2,V_M_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 224.67/224.98 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.67/224.98 => 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))) ) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__right__imp__eq,axiom,
% 224.67/224.98 ! [V_c,V_a,V_b,T_a] :
% 224.67/224.98 ( class_Groups_Ocancel__semigroup__add(T_a)
% 224.67/224.98 => ( 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)
% 224.67/224.98 => V_b = V_c ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__imp__eq,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( 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)
% 224.67/224.98 => V_b = V_c ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__left__imp__eq,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Ocancel__semigroup__add(T_a)
% 224.67/224.98 => ( 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)
% 224.67/224.98 => V_b = V_c ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__right__cancel,axiom,
% 224.67/224.98 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 224.67/224.98 ( class_Groups_Ocancel__semigroup__add(T_b)
% 224.67/224.98 => ( 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)
% 224.67/224.98 <=> V_b_2 = V_c_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__left__cancel,axiom,
% 224.67/224.98 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.67/224.98 ( class_Groups_Ocancel__semigroup__add(T_b)
% 224.67/224.98 => ( 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)
% 224.67/224.98 <=> V_b_2 = V_c_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__add__distrib__left,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__assoc,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf_Oassoc,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oab__semigroup__add(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__left__commute,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 224.67/224.98 ! [V_c,V_a,V_b,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__left__idem,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__commute,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf_Ocommute,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf_Oidem,axiom,
% 224.67/224.98 ! [V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_Min_Oidem,axiom,
% 224.67/224.98 ! [V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__le__iff__disj,axiom,
% 224.67/224.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( 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))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 224.67/224.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__le1,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__le2,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__iff__inf,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__inf__iff,axiom,
% 224.67/224.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.67/224.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__infI1,axiom,
% 224.67/224.98 ! [V_b,V_x,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__infI2,axiom,
% 224.67/224.98 ! [V_a,V_x,V_b,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__absorb1,axiom,
% 224.67/224.98 ! [V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__absorb2,axiom,
% 224.67/224.98 ! [V_x,V_y,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.67/224.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__infI,axiom,
% 224.67/224.98 ! [V_b,V_a,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__greatest,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oinf__mono,axiom,
% 224.67/224.98 ! [V_d,V_b,V_c,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ole__infE,axiom,
% 224.67/224.98 ! [V_b,V_a,V_x,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.67/224.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oless__infI2,axiom,
% 224.67/224.98 ! [V_a,V_x,V_b,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Oless__infI1,axiom,
% 224.67/224.98 ! [V_b,V_x,V_a,T_a] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__less__iff__disj,axiom,
% 224.67/224.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( 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))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 224.67/224.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__less__iff__conj,axiom,
% 224.67/224.98 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 224.67/224.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__diff__distrib__left,axiom,
% 224.67/224.98 ! [V_z,V_y,V_x,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__group__add(T_a)
% 224.67/224.98 => 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)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__le__cancel__right,axiom,
% 224.67/224.98 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__le__cancel__left,axiom,
% 224.67/224.98 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__right__mono,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__left__mono,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__mono,axiom,
% 224.67/224.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__le__imp__le__right,axiom,
% 224.67/224.98 ! [V_b,V_c,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__le__imp__le__left,axiom,
% 224.67/224.98 ! [V_b,V_a,V_c,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__less__imp__less__left,axiom,
% 224.67/224.98 ! [V_b,V_a,V_c,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__less__imp__less__right,axiom,
% 224.67/224.98 ! [V_b,V_c,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__strict__mono,axiom,
% 224.67/224.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__strict__left__mono,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__strict__right__mono,axiom,
% 224.67/224.98 ! [V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__less__cancel__left,axiom,
% 224.67/224.98 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__less__cancel__right,axiom,
% 224.67/224.98 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 224.67/224.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 224.67/224.98 => ( 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)))
% 224.67/224.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_diff__add__cancel,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Ogroup__add(T_a)
% 224.67/224.98 => 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 ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__diff__cancel,axiom,
% 224.67/224.98 ! [V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Ogroup__add(T_a)
% 224.67/224.98 => 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 ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 224.67/224.98 ! [T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__insert__le,axiom,
% 224.67/224.98 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.98 => 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)))) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__mono,axiom,
% 224.67/224.98 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__seteq,axiom,
% 224.67/224.98 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => ( 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)))
% 224.67/224.98 => V_A_2 = V_B_2 ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_diff__card__le__card__Diff,axiom,
% 224.67/224.98 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => 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)))) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__less__le__mono,axiom,
% 224.67/224.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_add__le__less__mono,axiom,
% 224.67/224.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.67/224.98 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 224.67/224.98 => 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))) ) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_psubset__card__mono,axiom,
% 224.67/224.98 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.98 => 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))) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_Max_Osingleton,axiom,
% 224.67/224.98 ! [V_x_2,T_b] :
% 224.67/224.98 ( class_Orderings_Olinorder(T_b)
% 224.67/224.98 => 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 ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_card__Diff__subset,axiom,
% 224.67/224.98 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.67/224.98 => 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)) ) ) ).
% 224.67/224.98
% 224.67/224.98 fof(fact_min__max_Ofold__inf__insert,axiom,
% 224.67/224.99 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => 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)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_card__psubset,axiom,
% 224.67/224.99 ! [V_A_2,V_B_2,T_b] :
% 224.67/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.67/224.99 => ( 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)))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_Max__ge,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.99 => 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))) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_Max__in,axiom,
% 224.67/224.99 ! [V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_card__Diff1__le,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => 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))) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 224.67/224.99 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.99 => 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))) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_min__max_Ofold1__belowI,axiom,
% 224.67/224.99 ! [V_a_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.67/224.99 => 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)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_fold1__below__iff,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.99 => ( 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))
% 224.67/224.99 <=> ? [B_x] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> ! [B_x] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_fold1__strict__below__iff,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.99 => ( 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))
% 224.67/224.99 <=> ? [B_x] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_strict__below__fold1__iff,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( class_Orderings_Olinorder(T_b)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> ! [B_x] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_setsum__insert,axiom,
% 224.67/224.99 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 224.67/224.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.67/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 224.67/224.99 => 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)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_setsum_Oinsert,axiom,
% 224.67/224.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 224.67/224.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.67/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.99 => 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)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_less__add__iff1,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oordered__ring(T_b)
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> 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)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_less__add__iff2,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oordered__ring(T_b)
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> 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))) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__add__iff1,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oordered__ring(T_b)
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> 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)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__add__iff2,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oordered__ring(T_b)
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> 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))) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_eq__add__iff1,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oring(T_b)
% 224.67/224.99 => ( 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)
% 224.67/224.99 <=> 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 ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_eq__add__iff2,axiom,
% 224.67/224.99 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 224.67/224.99 ( class_Rings_Oring(T_b)
% 224.67/224.99 => ( 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)
% 224.67/224.99 <=> 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) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_min__ord__min,axiom,
% 224.67/224.99 ! [T_b] :
% 224.67/224.99 ( class_Orderings_Oord(T_b)
% 224.67/224.99 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_card__Diff__singleton,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.99 => 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)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_card__Diff__singleton__if,axiom,
% 224.67/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.67/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.67/224.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.99 => 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)) )
% 224.67/224.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.67/224.99 => 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) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_less__diff__iff,axiom,
% 224.67/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 224.67/224.99 => ( 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)))
% 224.67/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_diff__less__mono,axiom,
% 224.67/224.99 ! [V_c,V_b,V_a] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 224.67/224.99 => 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))) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__add2,axiom,
% 224.67/224.99 ! [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))) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__add1,axiom,
% 224.67/224.99 ! [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))) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__iff__add,axiom,
% 224.67/224.99 ! [V_n_2,V_m_2] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.67/224.99 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__add__left__cancel__le,axiom,
% 224.67/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.67/224.99 ( 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)))
% 224.67/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_trans__le__add1,axiom,
% 224.67/224.99 ! [V_m,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => 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))) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_trans__le__add2,axiom,
% 224.67/224.99 ! [V_m,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => 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))) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_add__le__mono1,axiom,
% 224.67/224.99 ! [V_k,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => 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))) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_add__le__mono,axiom,
% 224.67/224.99 ! [V_l,V_k,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 224.67/224.99 => 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))) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_add__leD2,axiom,
% 224.67/224.99 ! [V_n,V_k,V_m] :
% 224.67/224.99 ( 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))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_add__leD1,axiom,
% 224.67/224.99 ! [V_n,V_k,V_m] :
% 224.67/224.99 ( 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))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_add__leE,axiom,
% 224.67/224.99 ! [V_n,V_k,V_m] :
% 224.67/224.99 ( 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))
% 224.67/224.99 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.67/224.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__antisym,axiom,
% 224.67/224.99 ! [V_n,V_m] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.67/224.99 => V_m = V_n ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__trans,axiom,
% 224.67/224.99 ! [V_k,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_eq__imp__le,axiom,
% 224.67/224.99 ! [V_n,V_m] :
% 224.67/224.99 ( V_m = V_n
% 224.67/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__le__linear,axiom,
% 224.67/224.99 ! [V_n,V_m] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.67/224.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__refl,axiom,
% 224.67/224.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__mult__1,axiom,
% 224.67/224.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 224.67/224.99
% 224.67/224.99 fof(fact_one__reorient,axiom,
% 224.67/224.99 ! [V_x_2,T_b] :
% 224.67/224.99 ( class_Groups_Oone(T_b)
% 224.67/224.99 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 224.67/224.99 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__1__eq__mult__iff,axiom,
% 224.67/224.99 ! [V_n_2,V_m_2] :
% 224.67/224.99 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 224.67/224.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 224.67/224.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__mult__1__right,axiom,
% 224.67/224.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 224.67/224.99
% 224.67/224.99 fof(fact_nat__mult__eq__1__iff,axiom,
% 224.67/224.99 ! [V_n_2,V_m_2] :
% 224.67/224.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 224.67/224.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 224.67/224.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__square,axiom,
% 224.67/224.99 ! [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))) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_le__cube,axiom,
% 224.67/224.99 ! [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)))) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_mult__le__mono1,axiom,
% 224.67/224.99 ! [V_k,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.67/224.99 => 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))) ) ).
% 224.67/224.99
% 224.67/224.99 fof(fact_mult__le__mono2,axiom,
% 224.67/224.99 ! [V_k,V_j,V_i] :
% 224.67/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__le__mono,axiom,
% 224.83/224.99 ! [V_l,V_k,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult_Ocomm__neutral,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__1__right,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Groups_Omonoid__mult(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__1,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__1__left,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Groups_Omonoid__mult(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod__eq__1__iff,axiom,
% 224.83/224.99 ! [V_f_2,V_F_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/224.99 => ( 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)
% 224.83/224.99 <=> ! [B_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 224.83/224.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__add__one,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/224.99 => 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)))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__1__mult,axiom,
% 224.83/224.99 ! [V_n,V_m,T_a] :
% 224.83/224.99 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 224.83/224.99 => 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))) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod__empty,axiom,
% 224.83/224.99 ! [V_f_2,T_c,T_b] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod_Oempty,axiom,
% 224.83/224.99 ! [V_g_2,T_c,T_b] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod__infinite,axiom,
% 224.83/224.99 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod_Oinfinite,axiom,
% 224.83/224.99 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_linorder__neqE__linordered__idom,axiom,
% 224.83/224.99 ! [V_y,V_x,T_a] :
% 224.83/224.99 ( class_Rings_Olinordered__idom(T_a)
% 224.83/224.99 => ( V_x != V_y
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__or__eq__imp__le,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 | V_m = V_n )
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__neq__implies__less,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => ( V_m != V_n
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__imp__le__nat,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__eq__less__or__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 | V_m_2 = V_n_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__less__le,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 & V_m_2 != V_n_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__less__cases,axiom,
% 224.83/224.99 ! [V_P_2,V_n_2,V_m_2] :
% 224.83/224.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 224.83/224.99 => ( ( V_m_2 = V_n_2
% 224.83/224.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 224.83/224.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/224.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 224.83/224.99 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__lessD1,axiom,
% 224.83/224.99 ! [V_k,V_j,V_i] :
% 224.83/224.99 ( 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))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__add__eq__less,axiom,
% 224.83/224.99 ! [V_n,V_m,V_l,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 224.83/224.99 => ( 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)
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__less__mono,axiom,
% 224.83/224.99 ! [V_l,V_k,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__less__mono1,axiom,
% 224.83/224.99 ! [V_k,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_trans__less__add2,axiom,
% 224.83/224.99 ! [V_m,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_trans__less__add1,axiom,
% 224.83/224.99 ! [V_m,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__not__refl3,axiom,
% 224.83/224.99 ! [V_t,V_s] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 224.83/224.99 => V_s != V_t ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__not__refl2,axiom,
% 224.83/224.99 ! [V_m,V_n] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 224.83/224.99 => V_m != V_n ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__irrefl__nat,axiom,
% 224.83/224.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_linorder__neqE__nat,axiom,
% 224.83/224.99 ! [V_y,V_x] :
% 224.83/224.99 ( V_x != V_y
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__left__cancel__less,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__neq__iff,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( V_m_2 != V_n_2
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_not__add__less2,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_not__add__less1,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__not__refl,axiom,
% 224.83/224.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__diff,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__cancel2,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__cancel,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__mult__distrib,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__commute,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__diff__left,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__add__inverse,axiom,
% 224.83/224.99 ! [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 ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__add__inverse2,axiom,
% 224.83/224.99 ! [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 ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__mult__distrib2,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__le__self,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__diff__right,axiom,
% 224.83/224.99 ! [V_i,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__diff__conv,axiom,
% 224.83/224.99 ! [V_i_2,V_k_2,V_j_2] :
% 224.83/224.99 ( 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))
% 224.83/224.99 <=> 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__add__diff,axiom,
% 224.83/224.99 ! [V_m,V_n,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__le__mono2,axiom,
% 224.83/224.99 ! [V_l,V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__le__mono,axiom,
% 224.83/224.99 ! [V_l,V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__diff__cancel,axiom,
% 224.83/224.99 ! [V_n,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__add__diff__inverse,axiom,
% 224.83/224.99 ! [V_m,V_n] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__diff__assoc,axiom,
% 224.83/224.99 ! [V_i,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__diff__conv2,axiom,
% 224.83/224.99 ! [V_i_2,V_j_2,V_k_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__add__diff__inverse2,axiom,
% 224.83/224.99 ! [V_m,V_n] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__imp__diff__is__add,axiom,
% 224.83/224.99 ! [V_k_2,V_j_2,V_i_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/224.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 224.83/224.99 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__add__assoc,axiom,
% 224.83/224.99 ! [V_i,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__diff__assoc2,axiom,
% 224.83/224.99 ! [V_i,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__add__assoc2,axiom,
% 224.83/224.99 ! [V_i,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_eq__diff__iff,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 224.83/224.99 => ( 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)
% 224.83/224.99 <=> V_m_2 = V_n_2 ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Nat_Odiff__diff__eq,axiom,
% 224.83/224.99 ! [V_n,V_m,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__diff__iff,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card_Oinsert,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod_Oeq__fold,axiom,
% 224.83/224.99 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod_OF__eq,axiom,
% 224.83/224.99 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) )
% 224.83/224.99 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card_Oinsert__remove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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)))))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card_Oremove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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)))))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card__Diff__insert,axiom,
% 224.83/224.99 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_combine__common__factor,axiom,
% 224.83/224.99 ! [V_c,V_b,V_e,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Osemiring(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__class_Odistrib,axiom,
% 224.83/224.99 ! [V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__less__mono2,axiom,
% 224.83/224.99 ! [V_l,V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__imp__diff__less,axiom,
% 224.83/224.99 ! [V_n,V_k,V_j] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__diff__inverse,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__diff__conv,axiom,
% 224.83/224.99 ! [V_k_2,V_j_2,V_i_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__less__add__iff2,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__less__add__iff1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 224.83/224.99 ! [V_m,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 224.83/224.99 ! [V_a,V_m,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 224.83/224.99 ! [V_m,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__eq__add__iff2,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/224.99 => ( 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)
% 224.83/224.99 <=> 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__diff__add__eq2,axiom,
% 224.83/224.99 ! [V_n,V_m,V_u,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__le__add__iff2,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__eq__add__iff1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 224.83/224.99 => ( 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)
% 224.83/224.99 <=> 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 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__diff__add__eq1,axiom,
% 224.83/224.99 ! [V_n,V_m,V_u,V_i,V_j] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__mult__distrib,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__mult__distrib2,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__commute,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__left__commute,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__assoc,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__left__cancel,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( 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)
% 224.83/224.99 <=> V_m_2 = V_n_2 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__add__right__cancel,axiom,
% 224.83/224.99 ! [V_n_2,V_k_2,V_m_2] :
% 224.83/224.99 ( 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)
% 224.83/224.99 <=> V_m_2 = V_n_2 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__mult__commute,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__mult__assoc,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_left__add__mult__distrib,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 224.83/224.99 ! [V_c,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 224.83/224.99 ! [V_d,V_c,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 224.83/224.99 ! [V_d,V_c,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 224.83/224.99 ! [V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 224.83/224.99 ! [V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 224.83/224.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 224.83/224.99 ! [V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 224.83/224.99 ! [V_ry,V_rx,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 224.83/224.99 ! [V_ry,V_rx,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 224.83/224.99 ! [V_rx,V_ly,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 224.83/224.99 ! [V_rx,V_ly,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 224.83/224.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 224.83/224.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 224.83/224.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 224.83/224.99 ! [V_z,V_y,V_x,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_crossproduct__noteq,axiom,
% 224.83/224.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/224.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 224.83/224.99 => ( ( V_a_2 != V_b_2
% 224.83/224.99 & V_c_2 != V_d_2 )
% 224.83/224.99 <=> 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 224.83/224.99 ! [V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 224.83/224.99 ! [V_b,V_m,V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_crossproduct__eq,axiom,
% 224.83/224.99 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 224.83/224.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 224.83/224.99 => ( 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))
% 224.83/224.99 <=> ( V_w_2 = V_x_2
% 224.83/224.99 | V_y_2 = V_z_2 ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat__le__add__iff1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_termination__basic__simps_I4_J,axiom,
% 224.83/224.99 ! [V_y,V_z,V_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_termination__basic__simps_I3_J,axiom,
% 224.83/224.99 ! [V_z,V_y,V_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_termination__basic__simps_I5_J,axiom,
% 224.83/224.99 ! [V_y,V_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_termination__basic__simps_I1_J,axiom,
% 224.83/224.99 ! [V_z,V_y,V_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_termination__basic__simps_I2_J,axiom,
% 224.83/224.99 ! [V_y,V_z,V_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oremove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => ( ( 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))
% 224.83/224.99 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 224.83/224.99 & ( 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))
% 224.83/224.99 => 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)))))) ) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => ( ( 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))
% 224.83/224.99 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 224.83/224.99 & ( 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))
% 224.83/224.99 => 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)))))) ) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod__mono__one__right,axiom,
% 224.83/224.99 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 224.83/224.99 => ( ! [B_x] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/224.99 => 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) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_setprod__mono__one__left,axiom,
% 224.83/224.99 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 224.83/224.99 => ( ! [B_x] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/224.99 => 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) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card__Suc__Diff1,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__mono,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_lessI,axiom,
% 224.83/224.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_n__not__Suc__n,axiom,
% 224.83/224.99 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__n__not__n,axiom,
% 224.83/224.99 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 224.83/224.99
% 224.83/224.99 fof(fact_nat_Oinject,axiom,
% 224.83/224.99 ! [V_nat_H_2,V_nat_2] :
% 224.83/224.99 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 224.83/224.99 <=> V_nat_2 = V_nat_H_2 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__inject,axiom,
% 224.83/224.99 ! [V_y,V_x] :
% 224.83/224.99 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 224.83/224.99 => V_x = V_y ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__less__SucD,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__lessD,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__SucE,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => V_m = V_n ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__trans__Suc,axiom,
% 224.83/224.99 ! [V_k,V_j,V_i] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__lessI,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__SucI,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__antisym,axiom,
% 224.83/224.99 ! [V_m,V_n] :
% 224.83/224.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 224.83/224.99 => V_m = V_n ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_not__less__less__Suc__eq,axiom,
% 224.83/224.99 ! [V_m_2,V_n_2] :
% 224.83/224.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 224.83/224.99 <=> V_n_2 = V_m_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__less__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__Suc__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 | V_m_2 = V_n_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_not__less__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__Suc__shift,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__Suc,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_add__Suc__right,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__leD,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__SucE,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__SucI,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__le__mono,axiom,
% 224.83/224.99 ! [V_m_2,V_n_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__Suc__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_not__less__eq__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__n__not__le__n,axiom,
% 224.83/224.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__diff__diff,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__Suc__Suc,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__mult__cancel1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( 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)
% 224.83/224.99 <=> V_m_2 = V_n_2 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__Suc__Suc,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__iff__Suc__add,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__add__Suc2,axiom,
% 224.83/224.99 ! [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)))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__add__Suc1,axiom,
% 224.83/224.99 ! [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)))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__le__lessD,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__less__Suc__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 224.83/224.99 <=> V_n_2 = V_m_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__leI,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__imp__less__Suc,axiom,
% 224.83/224.99 ! [V_n,V_m] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__le__eq,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__Suc__eq__le,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__eq__Suc__le,axiom,
% 224.83/224.99 ! [V_m_2,V_n_2] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__less__Suc,axiom,
% 224.83/224.99 ! [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))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__mult__less__cancel1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__Suc__right,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_mult__Suc,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__diff__le,axiom,
% 224.83/224.99 ! [V_m,V_n] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__mult__le__cancel1,axiom,
% 224.83/224.99 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/224.99 ( 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)))
% 224.83/224.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__Suc__1,axiom,
% 224.83/224.99 ! [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 ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Osingleton,axiom,
% 224.83/224.99 ! [V_x_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__Suc__diff__eq1,axiom,
% 224.83/224.99 ! [V_m,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__Suc__diff__eq2,axiom,
% 224.83/224.99 ! [V_m,V_j,V_k] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min__le,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 224.83/224.99 ! [V_x_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => 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 ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min__in,axiom,
% 224.83/224.99 ! [V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oin__idem,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 224.83/224.99 ! [V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_OF__eq,axiom,
% 224.83/224.99 ! [V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card__insert__if,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) )
% 224.83/224.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card__insert__disjoint,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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)) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 224.83/224.99 ! [V_B_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min__antimono,axiom,
% 224.83/224.99 ! [V_N_2,V_M_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 224.83/224.99 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/224.99 => 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))) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 224.83/224.99 ! [V_a_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min__insert,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Osubset__idem,axiom,
% 224.83/224.99 ! [V_B_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 224.83/224.99 ! [V_a_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_card__insert,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => 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)))))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => 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)) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ( 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))
% 224.83/224.99 => 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 )
% 224.83/224.99 & ( 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))
% 224.83/224.99 => 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)))))) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oinsert,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => 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)) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oinsert__remove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ( 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))
% 224.83/224.99 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 224.83/224.99 & ( 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))
% 224.83/224.99 => 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)))))) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oeq__fold_H,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__eq__plus1__left,axiom,
% 224.83/224.99 ! [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) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Suc__eq__plus1,axiom,
% 224.83/224.99 ! [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)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 224.83/224.99 ! [V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => ( ! [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))))))
% 224.83/224.99 => 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)) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Min_Oclosed,axiom,
% 224.83/224.99 ! [V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/224.99 => ( ! [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))))))
% 224.83/224.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Max_Oremove,axiom,
% 224.83/224.99 ! [V_x_2,V_A_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/224.99 => ( ( 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))
% 224.83/224.99 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 224.83/224.99 & ( 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))
% 224.83/224.99 => 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)))))) ) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_convex__bound__lt,axiom,
% 224.83/224.99 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 224.83/224.99 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 224.83/224.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 224.83/224.99 => 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)) ) ) ) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_fold__image__1,axiom,
% 224.83/224.99 ! [V_f_2,V_S_2,T_b,T_c] :
% 224.83/224.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/224.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/224.99 => ( ! [B_x] :
% 224.83/224.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/224.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/224.99 => 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) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_less__zeroE,axiom,
% 224.83/224.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le0,axiom,
% 224.83/224.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_zero__less__Suc,axiom,
% 224.83/224.99 ! [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))) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__assoc,axiom,
% 224.83/224.99 ! [V_z,V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup_Oassoc,axiom,
% 224.83/224.99 ! [V_c,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__left__commute,axiom,
% 224.83/224.99 ! [V_z,V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 224.83/224.99 ! [V_c,V_a,V_b,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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)) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__left__idem,axiom,
% 224.83/224.99 ! [V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 224.83/224.99 ! [V_b,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__commute,axiom,
% 224.83/224.99 ! [V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup_Ocommute,axiom,
% 224.83/224.99 ! [V_b,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup_Oidem,axiom,
% 224.83/224.99 ! [V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_zero__reorient,axiom,
% 224.83/224.99 ! [V_x_2,T_b] :
% 224.83/224.99 ( class_Groups_Ozero(T_b)
% 224.83/224.99 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 224.83/224.99 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_Max_Oidem,axiom,
% 224.83/224.99 ! [V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__max__iff__disj,axiom,
% 224.83/224.99 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( 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)))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 224.83/224.99 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__maxI1,axiom,
% 224.83/224.99 ! [V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_le__maxI2,axiom,
% 224.83/224.99 ! [V_x,V_y,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => 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))) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__iff__sup,axiom,
% 224.83/224.99 ! [V_y_2,V_x_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.83/224.99 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__sup__iff,axiom,
% 224.83/224.99 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_b)
% 224.83/224.99 => ( 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))
% 224.83/224.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 224.83/224.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__supI1,axiom,
% 224.83/224.99 ! [V_b,V_a,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__supI2,axiom,
% 224.83/224.99 ! [V_a,V_b,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__absorb2,axiom,
% 224.83/224.99 ! [V_y,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/224.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__absorb1,axiom,
% 224.83/224.99 ! [V_x,V_y,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.83/224.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__supI,axiom,
% 224.83/224.99 ! [V_b,V_x,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__least,axiom,
% 224.83/224.99 ! [V_z,V_x,V_y,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 224.83/224.99 => 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)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Osup__mono,axiom,
% 224.83/224.99 ! [V_d,V_b,V_c,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 224.83/224.99 => 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))) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Ole__supE,axiom,
% 224.83/224.99 ! [V_x,V_b,V_a,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( 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))
% 224.83/224.99 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.83/224.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Oless__supI2,axiom,
% 224.83/224.99 ! [V_a,V_b,V_x,T_a] :
% 224.83/224.99 ( class_Orderings_Olinorder(T_a)
% 224.83/224.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 224.83/224.99 => 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))) ) ) ).
% 224.83/224.99
% 224.83/224.99 fof(fact_min__max_Oless__supI1,axiom,
% 224.83/225.00 ! [V_b,V_a,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__less__iff__conj,axiom,
% 224.83/225.00 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( 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))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__max__iff__disj,axiom,
% 224.83/225.00 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 224.83/225.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__add__distrib__left,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__diff__distrib__left,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__ab__group__add(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__Suc__Suc,axiom,
% 224.83/225.00 ! [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)) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 224.83/225.00 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 224.83/225.00 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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 ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Osup__inf__absorb,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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 ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__0__iff,axiom,
% 224.83/225.00 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 224.83/225.00 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 224.83/225.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add_Ocomm__neutral,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__0__right,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Omonoid__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_double__zero__sym,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 224.83/225.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__0,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__0__left,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Omonoid__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__zero__left,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Omult__zero(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__zero__right,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Omult__zero(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__eq__0__iff,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Oring__no__zero__divisors(T_b)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_no__zero__divisors,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ono__zero__divisors(T_a)
% 224.83/225.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divisors__zero,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Ono__zero__divisors(T_a)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__0__right,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__self,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_eq__iff__diff__eq__0,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.00 => ( V_a_2 = V_b_2
% 224.83/225.00 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_right__minus__eq,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 <=> V_a_2 = V_b_2 ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_one__neq__zero,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Ozero__neq__one(T_a)
% 224.83/225.00 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__neq__one,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Ozero__neq__one(T_a)
% 224.83/225.00 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Suc__neq__Zero,axiom,
% 224.83/225.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Zero__neq__Suc,axiom,
% 224.83/225.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat_Osimps_I3_J,axiom,
% 224.83/225.00 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Suc__not__Zero,axiom,
% 224.83/225.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat_Osimps_I2_J,axiom,
% 224.83/225.00 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Zero__not__Suc,axiom,
% 224.83/225.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_not__less0,axiom,
% 224.83/225.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_neq0__conv,axiom,
% 224.83/225.00 ! [V_n_2] :
% 224.83/225.00 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__nat__zero__code,axiom,
% 224.83/225.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_gr__implies__not0,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.00 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_gr0I,axiom,
% 224.83/225.00 ! [V_n] :
% 224.83/225.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_plus__nat_Oadd__0,axiom,
% 224.83/225.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Nat_Oadd__0__right,axiom,
% 224.83/225.00 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__is__0,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__eq__self__zero,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 224.83/225.00 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 224.83/225.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_le__0__eq,axiom,
% 224.83/225.00 ! [V_n_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 224.83/225.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__0__eq__0,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_minus__nat_Odiff__0,axiom,
% 224.83/225.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__self__eq__0,axiom,
% 224.83/225.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diffs0__imp__equal,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => V_m = V_n ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__0,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__0__right,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__is__0,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( 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)
% 224.83/225.00 <=> ( V_m_2 = V_n_2
% 224.83/225.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__cancel2,axiom,
% 224.83/225.00 ! [V_n_2,V_k_2,V_m_2] :
% 224.83/225.00 ( 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)
% 224.83/225.00 <=> ( V_m_2 = V_n_2
% 224.83/225.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( 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)
% 224.83/225.00 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 | V_m_2 = V_n_2 ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_sum__squares__eq__zero__iff,axiom,
% 224.83/225.00 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)
% 224.83/225.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 224.83/225.00 ! [T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__0L,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__0R,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Odistrib__inf__le,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Odistrib__sup__le,axiom,
% 224.83/225.00 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_a)
% 224.83/225.00 => 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)))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__minus__add__max,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_sum__squares__ge__zero,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring(T_a)
% 224.83/225.00 => 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)))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_sum__squares__le__zero__iff,axiom,
% 224.83/225.00 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_sum__squares__gt__zero__iff,axiom,
% 224.83/225.00 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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))))
% 224.83/225.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_not__sum__squares__lt__zero,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring(T_a)
% 224.83/225.00 => ~ 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__nonneg__nonneg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__nonneg__eq__0__iff,axiom,
% 224.83/225.00 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__increasing,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__increasing2,axiom,
% 224.83/225.00 ! [V_a,V_b,V_c,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__nonpos__nonpos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__le__square,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring(T_a)
% 224.83/225.00 => 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__le__mult__iff,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__0__iff,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__nonneg__nonneg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__nonneg__nonpos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__nonneg__nonpos2,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__nonpos__nonneg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__nonpos__nonpos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__ring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__right__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__left__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__mult__left__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__comm__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__right__mono__neg,axiom,
% 224.83/225.00 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__ring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__left__mono__neg,axiom,
% 224.83/225.00 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__ring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__mono_H,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__mono,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__semiring(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_split__mult__pos__le,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__ring(T_a)
% 224.83/225.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_split__mult__neg__le,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 224.83/225.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__neg__neg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__pos__pos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_pos__add__strict,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__left__mono__neg,axiom,
% 224.83/225.00 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__right__mono__neg,axiom,
% 224.83/225.00 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_comm__mult__strict__left__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__left__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__right__mono,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__neg__neg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__neg__pos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel__left__neg,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__mult__pos2,axiom,
% 224.83/225.00 ! [V_a,V_b,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__mult__pos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__pos__neg2,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__pos__neg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__pos__pos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel__left__pos,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel__left__disj,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel__right__disj,axiom,
% 224.83/225.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 224.83/225.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_not__square__less__zero,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__ring(T_a)
% 224.83/225.00 => ~ 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_le__iff__diff__le__0,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 224.83/225.00 <=> 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__iff__diff__less__0,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.83/225.00 <=> 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__scale__eq__noteq,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 224.83/225.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 224.83/225.00 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => ( ( V_a = V_b
% 224.83/225.00 & V_c != V_d )
% 224.83/225.00 => 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)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_not__one__le__zero,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => ~ 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__le__one,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__one,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_not__one__less__zero,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum_Oempty,axiom,
% 224.83/225.00 ! [V_g_2,T_c,T_b] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__empty,axiom,
% 224.83/225.00 ! [V_f_2,T_c,T_b] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum_Oinfinite,axiom,
% 224.83/225.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__infinite,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setprod__zero,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Rings_Ocomm__semiring__1(T_c)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ? [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.00 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setprod__zero__iff,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 224.83/225.00 & class_Rings_Ono__zero__divisors(T_c) )
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( 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)
% 224.83/225.00 <=> ? [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.00 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_gr0__conv__Suc,axiom,
% 224.83/225.00 ! [V_n_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 224.83/225.00 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__Suc0,axiom,
% 224.83/225.00 ! [V_n_2] :
% 224.83/225.00 ( 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))))
% 224.83/225.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_less__Suc__eq__0__disj,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 224.83/225.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 | ? [B_j] :
% 224.83/225.00 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__is__1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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))
% 224.83/225.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_one__is__add,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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)
% 224.83/225.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__gr__0,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 224.83/225.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card_Oempty,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__infinite,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__eq__1__iff,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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))
% 224.83/225.00 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__diff,axiom,
% 224.83/225.00 ! [V_m_2,V_n_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__less,axiom,
% 224.83/225.00 ! [V_m,V_n] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 224.83/225.00 => 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__mult__less__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__mult__eq__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 => ( 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)
% 224.83/225.00 <=> V_m_2 = V_n_2 ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__mono2,axiom,
% 224.83/225.00 ! [V_k,V_j,V_i] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__mono1,axiom,
% 224.83/225.00 ! [V_k,V_j,V_i] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel2,axiom,
% 224.83/225.00 ! [V_n_2,V_k_2,V_m_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__0__less__mult__iff,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 224.83/225.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__add__0,axiom,
% 224.83/225.00 ! [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) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__is__0__eq_H,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/225.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__is__0__eq,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_One__nat__def,axiom,
% 224.83/225.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__eq__self__implies__10,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 224.83/225.00 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 224.83/225.00 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__eq__0__iff,axiom,
% 224.83/225.00 ! [V_f_2,V_F_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.00 => ( 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)
% 224.83/225.00 <=> ! [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 224.83/225.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Ofold__sup__insert,axiom,
% 224.83/225.00 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oin__idem,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Suc__pred_H,axiom,
% 224.83/225.00 ! [V_n] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.00 => 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))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__eq__if,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 224.83/225.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__nonpos__neg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__neg__nonpos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__strict__increasing2,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__strict__increasing,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__nonneg__pos,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__pos__nonneg,axiom,
% 224.83/225.00 ! [V_b,V_a,T_a] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__cancel__left__pos,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__cancel__left__neg,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__mono,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__strict__mono_H,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__le__imp__less,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__less__imp__less,axiom,
% 224.83/225.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => 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))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__right__less__imp__less,axiom,
% 224.83/225.00 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__imp__less__right,axiom,
% 224.83/225.00 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__left__less__imp__less,axiom,
% 224.83/225.00 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__less__imp__less__left,axiom,
% 224.83/225.00 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__right__le__imp__le,axiom,
% 224.83/225.00 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__left__le__imp__le,axiom,
% 224.83/225.00 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__eq__if,axiom,
% 224.83/225.00 ! [V_n,V_m] :
% 224.83/225.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__right__le__one__le,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.00 => 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)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__left__le__one__le,axiom,
% 224.83/225.00 ! [V_y,V_x,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.00 => 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)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_zero__less__two,axiom,
% 224.83/225.00 ! [T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.00 => 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)))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_OF__eq,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__eq__0__iff,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__ge__0__finite,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Suc__pred,axiom,
% 224.83/225.00 ! [V_n] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.00 => 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 ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__Suc__less,axiom,
% 224.83/225.00 ! [V_i,V_n] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_n__less__m__mult__n,axiom,
% 224.83/225.00 ! [V_m,V_n] :
% 224.83/225.00 ( 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))
% 224.83/225.00 => ( 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))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_n__less__n__mult__m,axiom,
% 224.83/225.00 ! [V_m,V_n] :
% 224.83/225.00 ( 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))
% 224.83/225.00 => ( 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))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_one__less__mult,axiom,
% 224.83/225.00 ! [V_m,V_n] :
% 224.83/225.00 ( 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))
% 224.83/225.00 => ( 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))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__diff__split__asm,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_P_2] :
% 224.83/225.00 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 224.83/225.00 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.00 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 224.83/225.00 | ? [B_d] :
% 224.83/225.00 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 224.83/225.00 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__diff__split,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_P_2] :
% 224.83/225.00 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 224.83/225.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.00 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 224.83/225.00 & ! [B_d] :
% 224.83/225.00 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 224.83/225.00 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_one__le__mult__iff,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( 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))
% 224.83/225.00 & 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nat__mult__le__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__cancel2,axiom,
% 224.83/225.00 ! [V_n_2,V_k_2,V_m_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_mult__le__cancel1,axiom,
% 224.83/225.00 ! [V_n_2,V_m_2,V_k_2] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__eq__Suc0__iff,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( 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))
% 224.83/225.00 <=> ? [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.00 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.00 & ! [B_xa] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 224.83/225.00 => ( B_x != B_xa
% 224.83/225.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__eq__1__iff,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( 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)
% 224.83/225.00 <=> ? [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.00 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 224.83/225.00 & ! [B_xa] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 224.83/225.00 => ( B_x != B_xa
% 224.83/225.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setprod__pos__nat__iff,axiom,
% 224.83/225.00 ! [V_f_2,V_S_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> ! [B_x] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max__insert,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => 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)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Osubset__idem,axiom,
% 224.83/225.00 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 224.83/225.00 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.00 => 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 ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 224.83/225.00 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_convex__bound__le,axiom,
% 224.83/225.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 224.83/225.00 ( class_Rings_Olinordered__semiring__1(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 224.83/225.00 => 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)) ) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__gt__0__iff,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum_Oeq__fold,axiom,
% 224.83/225.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum_OF__eq,axiom,
% 224.83/225.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.00 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) )
% 224.83/225.00 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Suc__diff__1,axiom,
% 224.83/225.00 ! [V_n] :
% 224.83/225.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.00 => 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 ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oinsert,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => 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)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oinsert__remove,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 224.83/225.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => 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)))))) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oeq__fold_H,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_even__less__0__iff,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__mono2,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 224.83/225.00 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.00 => ( ! [B_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 224.83/225.00 => 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))) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_triple_Osize_I1_J,axiom,
% 224.83/225.00 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__ord__max,axiom,
% 224.83/225.00 ! [T_b] :
% 224.83/225.00 ( class_Orderings_Oord(T_b)
% 224.83/225.00 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Max_Oclosed,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => ( ! [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))))))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setsum__mono3,axiom,
% 224.83/225.00 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 224.83/225.00 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.00 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.00 => ( ! [B_x] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 224.83/225.00 => 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))) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OInf__le__Sup,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_double__eq__0__iff,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 224.83/225.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => 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)))))) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_bot__nat__def,axiom,
% 224.83/225.00 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__0R,axiom,
% 224.83/225.00 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 224.83/225.00
% 224.83/225.00 fof(fact_max__0L,axiom,
% 224.83/225.00 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 224.83/225.00 ! [V_x_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => 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 ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => 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)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 224.83/225.00 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 224.83/225.00 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.00 => 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 ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 224.83/225.00 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => 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)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => 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 )
% 224.83/225.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.00 => 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)))))) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 224.83/225.00 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_triple_Osize_I2_J,axiom,
% 224.83/225.00 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 224.83/225.00 ! [V_A_2,T_b] :
% 224.83/225.00 ( class_Orderings_Olinorder(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.00 => ( ! [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))))))
% 224.83/225.00 => 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)) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__Suc__eq,axiom,
% 224.83/225.00 ! [V_k_2,V_A_2,T_b] :
% 224.83/225.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 224.83/225.00 <=> ? [B_b,B_B] :
% 224.83/225.00 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 224.83/225.00 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 224.83/225.00 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 224.83/225.00 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.00 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__odd__less__0,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => ( 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)))
% 224.83/225.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_com_Osize_I4_J,axiom,
% 224.83/225.00 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__Plus__conv__if,axiom,
% 224.83/225.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.00 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 224.83/225.00 => 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)) )
% 224.83/225.00 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_com_Osize_I12_J,axiom,
% 224.83/225.00 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_setprod__diff1,axiom,
% 224.83/225.00 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.00 ( class_Fields_Ofield(T_c)
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 224.83/225.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.00 => 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)) )
% 224.83/225.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.00 => 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) ) ) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__zero,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__zero__left,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_add__divide__distrib,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_times__divide__eq__right,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => 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) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_diff__divide__distrib,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => 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)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__1,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_eq__divide__imp,axiom,
% 224.83/225.00 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 224.83/225.00 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__eq__imp,axiom,
% 224.83/225.00 ! [V_a,V_b,V_c,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 224.83/225.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nonzero__divide__eq__eq,axiom,
% 224.83/225.00 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_b)
% 224.83/225.00 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 224.83/225.00 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_nonzero__eq__divide__eq,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_b)
% 224.83/225.00 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 224.83/225.00 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_finite__PlusD_I2_J,axiom,
% 224.83/225.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_finite__PlusD_I1_J,axiom,
% 224.83/225.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_finite__Plus,axiom,
% 224.83/225.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.00 => 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))) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_finite__Plus__iff,axiom,
% 224.83/225.00 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.00 ( 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)))
% 224.83/225.00 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__self__if,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 224.83/225.00 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 224.83/225.00 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__self,axiom,
% 224.83/225.00 ! [V_a,T_a] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_right__inverse__eq,axiom,
% 224.83/225.00 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.00 ( class_Rings_Odivision__ring(T_b)
% 224.83/225.00 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.00 <=> V_a_2 = V_b_2 ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__0,axiom,
% 224.83/225.00 ! [T_b] :
% 224.83/225.00 ( class_Rings_Oring__1(T_b)
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__add,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Oring__1(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__mult,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Oring__1(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__diff,axiom,
% 224.83/225.00 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.00 ( class_Rings_Oring__1(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => 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))) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__1,axiom,
% 224.83/225.00 ! [T_b] :
% 224.83/225.00 ( class_Rings_Oring__1(T_b)
% 224.83/225.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_com_Osize_I9_J,axiom,
% 224.83/225.00 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_com_Osize_I1_J,axiom,
% 224.83/225.00 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__double__eq__0__iff,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Int_Oring__char__0(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_card__Plus,axiom,
% 224.83/225.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.00 => 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)) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_Ints__odd__nonzero,axiom,
% 224.83/225.00 ! [V_a_2,T_b] :
% 224.83/225.00 ( class_Int_Oring__char__0(T_b)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.00 => 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) ) ) ).
% 224.83/225.00
% 224.83/225.00 fof(fact_divide__left__mono__neg,axiom,
% 224.83/225.00 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.00 => ( 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)))
% 224.83/225.01 => 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))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__left__mono,axiom,
% 224.83/225.01 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => 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))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__divide__le__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__le__divide__eq,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> 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),V_c_2))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__imp__le__div__pos,axiom,
% 224.83/225.01 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => ( 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))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__imp__div__pos__le,axiom,
% 224.83/225.01 ! [V_z,V_x,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pos__divide__le__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> 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),V_c_2))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pos__le__divide__eq,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_times__divide__times__eq,axiom,
% 224.83/225.01 ! [V_w,V_z,V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__le__divide__iff,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 224.83/225.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__le__0__iff,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 224.83/225.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__right__mono,axiom,
% 224.83/225.01 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__right__mono__neg,axiom,
% 224.83/225.01 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__less__divide__iff,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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_a_2),V_b_2)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 224.83/225.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__less__0__iff,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 224.83/225.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__pos__pos,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => 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_x),V_y))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__pos__neg,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__neg__pos,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__neg__neg,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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_x),V_y))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__strict__right__mono,axiom,
% 224.83/225.01 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__strict__right__mono__neg,axiom,
% 224.83/225.01 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_frac__eq__eq,axiom,
% 224.83/225.01 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 224.83/225.01 ( class_Fields_Ofield(T_b)
% 224.83/225.01 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => ( 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)
% 224.83/225.01 <=> 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) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__divide__mult__cancel__left,axiom,
% 224.83/225.01 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__divide__mult__cancel__right,axiom,
% 224.83/225.01 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__eq__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 224.83/225.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 224.83/225.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__divide__eq,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 224.83/225.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 224.83/225.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__nonpos__neg,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__nonpos__pos,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_frac__le,axiom,
% 224.83/225.01 ! [V_z,V_w,V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 224.83/225.01 => 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))) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_frac__less,axiom,
% 224.83/225.01 ! [V_z,V_w,V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 224.83/225.01 => 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))) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_frac__less2,axiom,
% 224.83/225.01 ! [V_z,V_w,V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 224.83/225.01 => 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))) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__nonneg__neg,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__nonneg__pos,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__divide__eq,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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),V_c_2))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__less__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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),V_c_2))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pos__less__divide__eq,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pos__divide__less__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> 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),V_c_2))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__imp__div__pos__less,axiom,
% 224.83/225.01 ! [V_z,V_x,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__imp__less__div__pos,axiom,
% 224.83/225.01 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.01 => ( 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))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__less__divide__eq,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> 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),V_c_2))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__divide__less__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__strict__left__mono,axiom,
% 224.83/225.01 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => 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))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__strict__left__mono__neg,axiom,
% 224.83/225.01 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => 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))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__num__frac,axiom,
% 224.83/225.01 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__divide__eq__iff,axiom,
% 224.83/225.01 ! [V_y,V_x,V_z,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__frac__num,axiom,
% 224.83/225.01 ! [V_z,V_x,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__add__eq__iff,axiom,
% 224.83/225.01 ! [V_y,V_x,V_z,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__frac__eq,axiom,
% 224.83/225.01 ! [V_w,V_x,V_z,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_diff__divide__eq__iff,axiom,
% 224.83/225.01 ! [V_y,V_x,V_z,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__diff__eq__iff,axiom,
% 224.83/225.01 ! [V_y,V_x,V_z,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_diff__frac__eq,axiom,
% 224.83/225.01 ! [V_w,V_x,V_z,V_y,T_a] :
% 224.83/225.01 ( class_Fields_Ofield(T_a)
% 224.83/225.01 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.01 => 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)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_gt__half__sum,axiom,
% 224.83/225.01 ! [V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__half__sum,axiom,
% 224.83/225.01 ! [V_b,V_a,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.01 => 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))))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__divide__eq,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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),V_c_2)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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),V_c_2))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__le__eq,axiom,
% 224.83/225.01 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 => ( 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)),V_a_2))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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),V_c_2))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Plus__eq__empty__conv,axiom,
% 224.83/225.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.01 ( 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))
% 224.83/225.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.01 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_ex__least__nat__less,axiom,
% 224.83/225.01 ! [V_n_2,V_P_2] :
% 224.83/225.01 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 224.83/225.01 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 224.83/225.01 => ? [B_k] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 224.83/225.01 & ! [B_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 224.83/225.01 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 224.83/225.01 & 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)))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setsum__mono__zero__left,axiom,
% 224.83/225.01 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 224.83/225.01 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.01 => 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) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setsum__mono__zero__right,axiom,
% 224.83/225.01 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 224.83/225.01 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.01 => 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) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_field__le__mult__one__interval,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.01 => ( ! [B_z] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.01 => 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)) ) )
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setprod__pos__nat,axiom,
% 224.83/225.01 ! [V_f_2,V_S_2,T_b] :
% 224.83/225.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.01 => 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))) )
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setsum__SucD,axiom,
% 224.83/225.01 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 224.83/225.01 ( 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)
% 224.83/225.01 => ? [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 & 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I5_J,axiom,
% 224.83/225.01 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I4_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 224.83/225.01 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2)
% 224.83/225.01 <=> ( V_fun_2 = V_fun_H_2
% 224.83/225.01 & V_com1_2 = V_com1_H_2
% 224.83/225.01 & V_com2_2 = V_com2_H_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I44_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I45_J,axiom,
% 224.83/225.01 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I14_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I15_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I13_J,axiom,
% 224.83/225.01 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_card_Oneutral,axiom,
% 224.83/225.01 ! [V_A_2,T_b] :
% 224.83/225.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.01 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.01 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 224.83/225.01 ( class_Orderings_Olinorder(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 224.83/225.01 => 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_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 224.83/225.01 ( class_Orderings_Olinorder(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Max__eqI,axiom,
% 224.83/225.01 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.01 ( class_Orderings_Olinorder(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.01 => ( ! [B_y] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.01 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Min__eqI,axiom,
% 224.83/225.01 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.01 ( class_Orderings_Olinorder(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.01 => ( ! [B_y] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.01 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_expand__Suc,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I11_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I3_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I2_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 224.83/225.01 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2)
% 224.83/225.01 <=> ( V_loc_2 = V_loc_H_2
% 224.83/225.01 & V_fun_2 = V_fun_H_2
% 224.83/225.01 & V_com_2 = V_com_H_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__reorient,axiom,
% 224.83/225.01 ! [V_x_2,V_w_2,T_b] :
% 224.83/225.01 ( class_Int_Onumber(T_b)
% 224.83/225.01 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 224.83/225.01 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__number__of,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Int_Oring__char__0(T_b) )
% 224.83/225.01 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 224.83/225.01 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__number__of,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__number__of,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__add,axiom,
% 224.83/225.01 ! [V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__number__of__eq,axiom,
% 224.83/225.01 ! [V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__number__of__left,axiom,
% 224.83/225.01 ! [V_z,V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__mult,axiom,
% 224.83/225.01 ! [V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_arith__simps_I32_J,axiom,
% 224.83/225.01 ! [V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__number__of__left,axiom,
% 224.83/225.01 ! [V_z,V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__diff,axiom,
% 224.83/225.01 ! [V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I37_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I36_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I34_J,axiom,
% 224.83/225.01 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I35_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I11_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I10_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__number__of__eq__not__less,axiom,
% 224.83/225.01 ! [V_w_2,V_v_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Orderings_Olinorder(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ~ 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_right__distrib__number__of,axiom,
% 224.83/225.01 ! [V_c,V_b,V_v,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Rings_Osemiring(T_b) )
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_left__distrib__number__of,axiom,
% 224.83/225.01 ! [V_v,V_b,V_a,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Rings_Osemiring(T_b) )
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__number__of__diff1,axiom,
% 224.83/225.01 ! [V_c,V_w,V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_right__diff__distrib__number__of,axiom,
% 224.83/225.01 ! [V_c,V_b,V_v,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Rings_Oring(T_b) )
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_left__diff__distrib__number__of,axiom,
% 224.83/225.01 ! [V_v,V_b,V_a,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Rings_Oring(T_b) )
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_min__number__of,axiom,
% 224.83/225.01 ! [V_v,V_u,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Orderings_Oord(T_b) )
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => 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) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_max__number__of,axiom,
% 224.83/225.01 ! [V_v,V_u,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber(T_b)
% 224.83/225.01 & class_Orderings_Oord(T_b) )
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => 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) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Ints__number__of,axiom,
% 224.83/225.01 ! [V_w_2,T_b] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__eq__eq__number__of1,axiom,
% 224.83/225.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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
% 224.83/225.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__eq__eq__number__of,axiom,
% 224.83/225.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)
% 224.83/225.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__divide__eq__number__of,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)
% 224.83/225.01 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => 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 )
% 224.83/225.01 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__divide__eq__number__of1,axiom,
% 224.83/225.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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))
% 224.83/225.01 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => 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 )
% 224.83/225.01 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__divide__eq__number__of1,axiom,
% 224.83/225.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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))))
% 224.83/225.01 <=> ( ( 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)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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)))) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__divide__eq__number__of,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__less__eq__number__of,axiom,
% 224.83/225.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__less__eq__number__of1,axiom,
% 224.83/225.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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))
% 224.83/225.01 <=> ( ( 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)))
% 224.83/225.01 => 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)))) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__divide__eq__number__of1,axiom,
% 224.83/225.01 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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))))
% 224.83/225.01 <=> ( ( 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)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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)))) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__divide__eq__number__of,axiom,
% 224.83/225.01 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__le__eq__number__of,axiom,
% 224.83/225.01 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => 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))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 224.83/225.01 => 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))) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__le__eq__number__of1,axiom,
% 224.83/225.01 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 224.83/225.01 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.01 & class_Int_Onumber(T_b) )
% 224.83/225.01 => ( 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))
% 224.83/225.01 <=> ( ( 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)))
% 224.83/225.01 => 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)))) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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)) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setprod__pos,axiom,
% 224.83/225.01 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_c)
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setprod__nonneg,axiom,
% 224.83/225.01 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_c)
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__succ,axiom,
% 224.83/225.01 ! [V_k,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I6_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osize_I14_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_field__le__epsilon,axiom,
% 224.83/225.01 ! [V_y,V_x,T_a] :
% 224.83/225.01 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.01 => ( ! [B_e] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 224.83/225.01 => 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))) )
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pair__box_Osize_I1_J,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat_Osize_I2_J,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__eq__number__of__int__code,axiom,
% 224.83/225.01 ! [V_l_2,V_k_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__number__of__int__code,axiom,
% 224.83/225.01 ! [V_l_2,V_k_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_plus__numeral__code_I9_J,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_times__numeral__code_I5_J,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__bin__lemma,axiom,
% 224.83/225.01 ! [V_l_2,V_k_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 224.83/225.01 <=> 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__zless__mono2,axiom,
% 224.83/225.01 ! [V_k,V_j,V_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__0,axiom,
% 224.83/225.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__0__right,axiom,
% 224.83/225.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 224.83/225.01
% 224.83/225.01 fof(fact_odd__nonzero,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__imp__0__less,axiom,
% 224.83/225.01 ! [V_z] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__one__le__iff__zero__less,axiom,
% 224.83/225.01 ! [V_z_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_odd__less__0,axiom,
% 224.83/225.01 ! [V_z_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__0__less__1,axiom,
% 224.83/225.01 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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pos__zmult__eq__1__iff,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 224.83/225.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.01 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.01 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__diff1__eq,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( 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))))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__add1__eq,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( 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))))
% 224.83/225.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 224.83/225.01 | V_w_2 = V_z_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__add1__eq__le,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( 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))))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add1__zle__eq,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( 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))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__imp__add1__zle,axiom,
% 224.83/225.01 ! [V_z,V_w] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__zless__mono,axiom,
% 224.83/225.01 ! [V_z,V_z_H,V_w,V_w_H] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_succ__def,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__left__mono,axiom,
% 224.83/225.01 ! [V_k,V_j,V_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__1,axiom,
% 224.83/225.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__1__right,axiom,
% 224.83/225.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__assoc,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__commute,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__assoc,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__left__commute,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__commute,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__zmult__distrib2,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__zmult__distrib,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiff__zmult__distrib,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiff__zmult__distrib2,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__strict__right__mono,axiom,
% 224.83/225.01 ! [V_k,V_j,V_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__linear,axiom,
% 224.83/225.01 ! [V_y,V_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 224.83/225.01 | V_x = V_y
% 224.83/225.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__refl,axiom,
% 224.83/225.01 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__linear,axiom,
% 224.83/225.01 ! [V_w,V_z] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 224.83/225.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__trans,axiom,
% 224.83/225.01 ! [V_k,V_j,V_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__antisym,axiom,
% 224.83/225.01 ! [V_w,V_z] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 224.83/225.01 => V_z = V_w ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__le,axiom,
% 224.83/225.01 ! [V_w_2,V_z_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 224.83/225.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 224.83/225.01 & V_z_2 != V_w_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I5_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 224.83/225.01 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 224.83/225.01 <=> ( V_fun_2 = V_fun_H_2
% 224.83/225.01 & V_com_2 = V_com_H_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pair__box_Oinject,axiom,
% 224.83/225.01 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.01 ( 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)
% 224.83/225.01 <=> ( V_a_2 = V_a_H_2
% 224.83/225.01 & V_b_2 = V_b_H_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat_Osize_I1_J,axiom,
% 224.83/225.01 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I52_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I53_J,axiom,
% 224.83/225.01 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I46_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I47_J,axiom,
% 224.83/225.01 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I38_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I39_J,axiom,
% 224.83/225.01 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I16_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_com_Osimps_I17_J,axiom,
% 224.83/225.01 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 224.83/225.01
% 224.83/225.01 fof(fact_self__quotient__aux2,axiom,
% 224.83/225.01 ! [V_q,V_r,V_a] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.01 => ( 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))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_self__quotient__aux1,axiom,
% 224.83/225.01 ! [V_q,V_r,V_a] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.01 => ( 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))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_q__pos__lemma,axiom,
% 224.83/225.01 ! [V_r_H,V_q_H,V_b_H] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_q__neg__lemma,axiom,
% 224.83/225.01 ! [V_r_H,V_q_H,V_b_H] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_unique__quotient__lemma,axiom,
% 224.83/225.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiv__mono2__lemma,axiom,
% 224.83/225.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 224.83/225.01 ( 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)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_unique__quotient__lemma__neg,axiom,
% 224.83/225.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__is__id,axiom,
% 224.83/225.01 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__0__neq__1,axiom,
% 224.83/225.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 224.83/225.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 224.83/225.01 ( 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)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 224.83/225.01 ! [V_y,V_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 224.83/225.01 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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 224.83/225.01 ! [V_y,V_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pair__box_Osize_I2_J,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pair__box_Orecs,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pair__box_Osimps_I2_J,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat_Osize_I4_J,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__size,axiom,
% 224.83/225.01 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat_Osize_I3_J,axiom,
% 224.83/225.01 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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 224.83/225.01 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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Suc__nat__number__of__add,axiom,
% 224.83/225.01 ! [V_n,V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_tsub__def,axiom,
% 224.83/225.01 ! [V_x,V_y] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 224.83/225.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 224.83/225.01 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Suc__nat__number__of,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__number__of__lemma,axiom,
% 224.83/225.01 ! [V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => ( ( 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)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ 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)))
% 224.83/225.01 => 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) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__number__of__add__1,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__1__add__number__of,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__nat__number__of,axiom,
% 224.83/225.01 ! [V_v_H,V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_not__neg__int,axiom,
% 224.83/225.01 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__eq__iff,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2,T_b] :
% 224.83/225.01 ( class_Nat_Osemiring__char__0(T_b)
% 224.83/225.01 => ( 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)
% 224.83/225.01 <=> V_m_2 = V_n_2 ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_not__neg__number__of__Pls,axiom,
% 224.83/225.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Pls__def,axiom,
% 224.83/225.01 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_rel__simps_I19_J,axiom,
% 224.83/225.01 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_rel__simps_I2_J,axiom,
% 224.83/225.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__Pls,axiom,
% 224.83/225.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__Pls__right,axiom,
% 224.83/225.01 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 224.83/225.01
% 224.83/225.01 fof(fact_mult__Pls,axiom,
% 224.83/225.01 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 224.83/225.01
% 224.83/225.01 fof(fact_diff__bin__simps_I1_J,axiom,
% 224.83/225.01 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 224.83/225.01
% 224.83/225.01 fof(fact_not__neg__0,axiom,
% 224.83/225.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_not__neg__1,axiom,
% 224.83/225.01 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__nat__number__of,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__0,axiom,
% 224.83/225.01 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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__eq__0__conv,axiom,
% 224.83/225.01 ! [V_n_2] :
% 224.83/225.01 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 224.83/225.01 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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__zle__int,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 224.83/225.01 ! [V_P_2] :
% 224.83/225.01 ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.01 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.01 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 224.83/225.01 ! [V_P_2] :
% 224.83/225.01 ( ? [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.01 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.01 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__less__0__conv,axiom,
% 224.83/225.01 ! [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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__int,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__int,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__int__left,axiom,
% 224.83/225.01 ! [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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zadd__int,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zle__iff__zadd,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 224.83/225.01 <=> ? [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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__le__imp__of__nat,axiom,
% 224.83/225.01 ! [V_m,T_a] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__0__le__iff,axiom,
% 224.83/225.01 ! [V_n,T_a] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__less__0__iff,axiom,
% 224.83/225.01 ! [V_m,T_a] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.01 => ~ 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of__Pls,axiom,
% 224.83/225.01 ! [T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_semiring__norm_I112_J,axiom,
% 224.83/225.01 ! [T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__number__of__eq,axiom,
% 224.83/225.01 ! [V_v,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__mult,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__int,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__numeral__0__right,axiom,
% 224.83/225.01 ! [V_a,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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 ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__numeral__0,axiom,
% 224.83/225.01 ! [V_a,T_a] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_a)
% 224.83/225.01 => 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 ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__0,axiom,
% 224.83/225.01 ! [T_a] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__less__imp__less,axiom,
% 224.83/225.01 ! [V_n,V_m,T_a] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__imp__of__nat__less,axiom,
% 224.83/225.01 ! [V_n,V_m,T_a] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__less__iff,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2,T_b] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__1,axiom,
% 224.83/225.01 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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 224.83/225.01 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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__le__iff,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2,T_b] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__add,axiom,
% 224.83/225.01 ! [V_n,V_m,T_a] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_bin__less__0__simps_I1_J,axiom,
% 224.83/225.01 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__number__of__Pls,axiom,
% 224.83/225.01 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_semiring__norm_I113_J,axiom,
% 224.83/225.01 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__mult,axiom,
% 224.83/225.01 ! [V_n,V_m,T_a] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__is__num__zero,axiom,
% 224.83/225.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__1,axiom,
% 224.83/225.01 ! [T_a] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Ints__of__nat,axiom,
% 224.83/225.01 ! [V_n_2,T_b] :
% 224.83/225.01 ( class_Rings_Oring__1(T_b)
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_not__neg__eq__ge__0,axiom,
% 224.83/225.01 ! [V_x_2] :
% 224.83/225.01 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__def,axiom,
% 224.83/225.01 ! [V_Z_2] :
% 224.83/225.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__le__0__conv,axiom,
% 224.83/225.01 ! [V_n_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__Suc0__eq__1,axiom,
% 224.83/225.01 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) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zless__iff__Suc__zadd,axiom,
% 224.83/225.01 ! [V_z_2,V_w_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 224.83/225.01 <=> ? [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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__Suc,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiff__int,axiom,
% 224.83/225.01 ! [V_m,V_n] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__Suc,axiom,
% 224.83/225.01 ! [V_m,T_a] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_divide__Numeral0,axiom,
% 224.83/225.01 ! [V_x,T_a] :
% 224.83/225.01 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.01 & class_Int_Onumber__ring(T_a) )
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__0__number__of,axiom,
% 224.83/225.01 ! [V_v_2] :
% 224.83/225.01 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__number__of__0,axiom,
% 224.83/225.01 ! [V_v_2] :
% 224.83/225.01 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__nat__number__of,axiom,
% 224.83/225.01 ! [V_v_H_2,V_v_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 224.83/225.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__diff,axiom,
% 224.83/225.01 ! [V_m,V_n,T_a] :
% 224.83/225.01 ( class_Rings_Oring__1(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__nat__number__of,axiom,
% 224.83/225.01 ! [V_v_H_2,V_v_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__imp__number__of__eq__0,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__less__int__conv,axiom,
% 224.83/225.01 ! [V_n_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zmult__zless__mono2__lemma,axiom,
% 224.83/225.01 ! [V_k,V_j,V_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__special_I1_J,axiom,
% 224.83/225.01 ! [V_y_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__special_I3_J,axiom,
% 224.83/225.01 ! [V_x_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__special_I1_J,axiom,
% 224.83/225.01 ! [V_y_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__special_I3_J,axiom,
% 224.83/225.01 ! [V_x_2,T_b] :
% 224.83/225.01 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__0__less__iff,axiom,
% 224.83/225.01 ! [V_n_2,T_b] :
% 224.83/225.01 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.01 => ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_less__0__number__of,axiom,
% 224.83/225.01 ! [V_v_2] :
% 224.83/225.01 ( 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)))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_add__nat__number__of,axiom,
% 224.83/225.01 ! [V_v_H,V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 224.83/225.01 => 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)) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_eq__nat__number__of,axiom,
% 224.83/225.01 ! [V_v_H_2,V_v_2] :
% 224.83/225.01 ( 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)
% 224.83/225.01 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 224.83/225.01 => 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))) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 224.83/225.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 224.83/225.01 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 224.83/225.01 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__number__of__add__left,axiom,
% 224.83/225.01 ! [V_k,V_v_H,V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.01 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.01 => 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) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 224.83/225.01 ! [V_y,V_x] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_tsub__eq,axiom,
% 224.83/225.01 ! [V_x,V_y] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 224.83/225.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__number__of__mult__left,axiom,
% 224.83/225.01 ! [V_k,V_v_H,V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zdiff__int__split,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2,V_P_2] :
% 224.83/225.01 ( 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))))
% 224.83/225.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 224.83/225.01 => 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)))) )
% 224.83/225.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 224.83/225.01 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_number__of2,axiom,
% 224.83/225.01 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))) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_nat__number__of__diff__1,axiom,
% 224.83/225.01 ! [V_v] :
% 224.83/225.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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) )
% 224.83/225.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 224.83/225.01 => 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)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_setsum__bounded,axiom,
% 224.83/225.01 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.01 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 224.83/225.01 & class_Rings_Osemiring__1(T_c) )
% 224.83/225.01 => ( ! [B_i] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nats__number__of,axiom,
% 224.83/225.01 ! [V_w_2,T_b] :
% 224.83/225.01 ( class_Int_Onumber__ring(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 224.83/225.01 => 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))) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Suc__diff__number__of,axiom,
% 224.83/225.01 ! [V_m,V_v] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_neg__number__of__pred__iff__0,axiom,
% 224.83/225.01 ! [V_v_2] :
% 224.83/225.01 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 224.83/225.01 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 224.83/225.01 ! [V_y_2,V_x_2] :
% 224.83/225.01 ( 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)
% 224.83/225.01 <=> V_x_2 = V_y_2 ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_int__int__eq,axiom,
% 224.83/225.01 ! [V_n_2,V_m_2] :
% 224.83/225.01 ( 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)
% 224.83/225.01 <=> V_m_2 = V_n_2 ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_succ__pred,axiom,
% 224.83/225.01 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 224.83/225.01
% 224.83/225.01 fof(fact_le__iff__pred__less,axiom,
% 224.83/225.01 ! [V_l_2,V_k_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 224.83/225.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_pred__def,axiom,
% 224.83/225.01 ! [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)) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nats__0,axiom,
% 224.83/225.01 ! [T_b] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nats__add,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nats__mult,axiom,
% 224.83/225.01 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 224.83/225.01 => 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))) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Nats__1,axiom,
% 224.83/225.01 ! [T_b] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_of__nat__in__Nats,axiom,
% 224.83/225.01 ! [V_n_2,T_b] :
% 224.83/225.01 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.01 => 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))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_decr__mult__lemma,axiom,
% 224.83/225.01 ! [V_k_2,V_P_2,V_d_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.01 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.01 => ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.01 => 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)))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_incr__mult__lemma,axiom,
% 224.83/225.01 ! [V_k_2,V_P_2,V_d_2] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 224.83/225.01 => ( ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.01 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.01 => ! [B_x] :
% 224.83/225.01 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.01 => 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)))) ) ) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_zero__less__imp__eq__int,axiom,
% 224.83/225.01 ! [V_k] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 224.83/225.01 => ? [B_n] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 224.83/225.01 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_decr__lemma,axiom,
% 224.83/225.01 ! [V_z,V_x,V_d] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 224.83/225.01 => 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)) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_incr__lemma,axiom,
% 224.83/225.01 ! [V_x,V_z,V_d] :
% 224.83/225.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 224.83/225.01 => 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)))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 224.83/225.01 ! [V_m,V_n] :
% 224.83/225.01 ( 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))
% 224.83/225.01 => 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)))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_bool_Osize_I2_J,axiom,
% 224.83/225.01 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__idempotent,axiom,
% 224.83/225.01 ! [V_a,T_a] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.01 => 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) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_rel__simps_I51_J,axiom,
% 224.83/225.01 ! [V_l_2,V_k_2] :
% 224.83/225.01 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 224.83/225.01 <=> V_k_2 = V_l_2 ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__le__D1,axiom,
% 224.83/225.01 ! [V_b,V_a,T_a] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__ge__self,axiom,
% 224.83/225.01 ! [V_a,T_a] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__zero,axiom,
% 224.83/225.01 ! [T_a] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.01 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__eq__0,axiom,
% 224.83/225.01 ! [V_a_2,T_b] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.01 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.01
% 224.83/225.01 fof(fact_abs__add__abs,axiom,
% 224.83/225.01 ! [V_b,V_a,T_a] :
% 224.83/225.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__mult__self,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__mult,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__minus__commute,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__one,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__of__nat,axiom,
% 224.83/225.02 ! [V_n,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__divide,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__int__eq,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__eq__int__code_I16_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I34_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__int__code_I16_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I17_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I39_J,axiom,
% 224.83/225.02 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I46_J,axiom,
% 224.83/225.02 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__of__nonneg,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__le__zero__iff,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__ge__zero,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__of__pos,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zero__less__abs__iff,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__not__less__zero,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ~ 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__triangle__ineq,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__mult__less,axiom,
% 224.83/225.02 ! [V_d,V_b,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__triangle__ineq3,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__triangle__ineq2,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__triangle__ineq2__sym,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nonzero__abs__divide,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Fields_Olinordered__field(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_bin__less__0__simps_I4_J,axiom,
% 224.83/225.02 ! [V_w_2] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__zmult__eq__1,axiom,
% 224.83/225.02 ! [V_n,V_m] :
% 224.83/225.02 ( 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)
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I22_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I12_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Bit1__def,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__number__of__Bit1,axiom,
% 224.83/225.02 ! [V_w_2] :
% 224.83/225.02 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 224.83/225.02 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_succ__Pls,axiom,
% 224.83/225.02 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__eq__mult,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Oordered__ring__abs(T_a)
% 224.83/225.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 224.83/225.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__mult__pos,axiom,
% 224.83/225.02 ! [V_y,V_x,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__triangle__ineq4,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__diff__triangle__ineq,axiom,
% 224.83/225.02 ! [V_d,V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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))))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__div__pos,axiom,
% 224.83/225.02 ! [V_x,V_y,T_a] :
% 224.83/225.02 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_number__of__Bit1,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zabs__less__one__iff,axiom,
% 224.83/225.02 ! [V_z_2] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__numeral__1__right,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__numeral__1,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_semiring__norm_I110_J,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_numeral__1__eq__1,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I5_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I29_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_divide__Numeral1,axiom,
% 224.83/225.02 ! [V_x,T_a] :
% 224.83/225.02 ( ( class_Fields_Ofield(T_a)
% 224.83/225.02 & class_Int_Onumber__ring(T_a) )
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_divide__numeral__1,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( ( class_Fields_Ofield(T_a)
% 224.83/225.02 & class_Int_Onumber__ring(T_a) )
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_one__is__num__one,axiom,
% 224.83/225.02 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Numeral1__eq1__nat,axiom,
% 224.83/225.02 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__numeral__1__eq__1,axiom,
% 224.83/225.02 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_numeral__1__eq__Suc__0,axiom,
% 224.83/225.02 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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_numeral__3__eq__3,axiom,
% 224.83/225.02 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)))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 224.83/225.02 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_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Suc3__eq__add__3,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 224.83/225.02 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)))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_le__special_I2_J,axiom,
% 224.83/225.02 ! [V_y_2,T_b] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_le__special_I4_J,axiom,
% 224.83/225.02 ! [V_x_2,T_b] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__special_I4_J,axiom,
% 224.83/225.02 ! [V_x_2,T_b] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__special_I2_J,axiom,
% 224.83/225.02 ! [V_y_2,T_b] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 & class_Rings_Olinordered__idom(T_b) )
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__special_I3_J,axiom,
% 224.83/225.02 ! [V_v,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__special_I2_J,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_bool_Osize_I1_J,axiom,
% 224.83/225.02 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_one__code__numeral__code,axiom,
% 224.83/225.02 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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__special_I2_J,axiom,
% 224.83/225.02 ! [V_v,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__special_I1_J,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__2__cases,axiom,
% 224.83/225.02 ! [V_n] :
% 224.83/225.02 ( 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)))))
% 224.83/225.02 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.02 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_half__gt__zero,axiom,
% 224.83/225.02 ! [V_r,T_a] :
% 224.83/225.02 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 224.83/225.02 & class_Int_Onumber__ring(T_a) )
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 224.83/225.02 => 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)))))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_half__gt__zero__iff,axiom,
% 224.83/225.02 ! [V_r_2,T_b] :
% 224.83/225.02 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 224.83/225.02 & class_Int_Onumber__ring(T_b) )
% 224.83/225.02 => ( 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))))))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_int__val__lemma,axiom,
% 224.83/225.02 ! [V_k_2,V_f_2,V_n_2] :
% 224.83/225.02 ( ! [B_i] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.02 => 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))) )
% 224.83/225.02 => ( 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))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 224.83/225.02 => ? [B_i] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.02 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_negative__zle,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_negative__zless,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_arith__simps_I30_J,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_number__of__minus,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_code__numeral__zero__minus__one,axiom,
% 224.83/225.02 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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I48_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 224.83/225.02 <=> V_k_2 = V_l_2 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__Bit0,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zminus__zminus,axiom,
% 224.83/225.02 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 224.83/225.02
% 224.83/225.02 fof(fact_compl__eq__compl__iff,axiom,
% 224.83/225.02 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.02 ( class_Lattices_Oboolean__algebra(T_b)
% 224.83/225.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 224.83/225.02 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__equal__iff__equal,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 224.83/225.02 <=> V_a_2 = V_b_2 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__equation__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 224.83/225.02 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_equation__minus__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 224.83/225.02 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_uminus__apply,axiom,
% 224.83/225.02 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.02 ( class_Groups_Ouminus(T_b)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_double__compl,axiom,
% 224.83/225.02 ! [V_x,T_a] :
% 224.83/225.02 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__minus,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__number__of__mult,axiom,
% 224.83/225.02 ! [V_z,V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_le__minus__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__le__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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))
% 224.83/225.02 <=> 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__le__iff__le,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_compl__le__compl__iff,axiom,
% 224.83/225.02 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.02 ( class_Lattices_Oboolean__algebra(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_le__imp__neg__le,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_compl__mono,axiom,
% 224.83/225.02 ! [V_y,V_x,T_a] :
% 224.83/225.02 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__equal__zero,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 224.83/225.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__equal__0__iff__equal,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_equal__neg__zero,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 224.83/225.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__0__equal__iff__equal,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 224.83/225.02 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__zero,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__less__iff__less,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__less__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__minus__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__add__cancel,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__minus__cancel,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__add,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__add__distrib,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oab__group__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__mult__right,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Oring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__mult__left,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Oring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__mult__commute,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Oring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__mult__minus,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Oring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_square__eq__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Rings_Oidom(T_b)
% 224.83/225.02 => ( 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)
% 224.83/225.02 <=> ( V_a_2 = V_b_2
% 224.83/225.02 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__diff__eq,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oab__group__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I31_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__eq__int__code_I13_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I14_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__int__code_I13_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zminus__0,axiom,
% 224.83/225.02 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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I44_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 224.83/225.02 <=> V_k_2 = c_Int_OPls ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I38_J,axiom,
% 224.83/225.02 ! [V_l_2] :
% 224.83/225.02 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 224.83/225.02 <=> c_Int_OPls = V_l_2 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Bit0__Pls,axiom,
% 224.83/225.02 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I50_J,axiom,
% 224.83/225.02 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I49_J,axiom,
% 224.83/225.02 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__Bit0__Bit0,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Bit0__def,axiom,
% 224.83/225.02 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__divide__left,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__divide__divide,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__divide__right,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__Bit0,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__minus__cancel,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__Pls,axiom,
% 224.83/225.02 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zminus__zadd__distrib,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__numeral__code_I5_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__bin__simps_I7_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult__zminus,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__le__self__iff,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__le__0__iff__le,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_le__minus__self__iff,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__0__le__iff__le,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__minus__self__iff,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__0__less__iff__less,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__less__0__iff__less,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__less__nonneg,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__unique,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_ab__left__minus,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oab__group__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_left__minus,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_b)
% 224.83/225.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 224.83/225.02 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_right__minus,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__0,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 224.83/225.02 ! [V_y,V_x,T_a] :
% 224.83/225.02 ( class_Rings_Ocomm__ring__1(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__minus__eq__add,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_ab__diff__minus,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oab__group__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__def,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Ogroup__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 224.83/225.02 ! [V_x,T_a] :
% 224.83/225.02 ( class_Rings_Ocomm__ring__1(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_square__eq__1__iff,axiom,
% 224.83/225.02 ! [V_x_2,T_b] :
% 224.83/225.02 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 224.83/225.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.02 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.02 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nonzero__minus__divide__divide,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nonzero__minus__divide__right,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Rings_Odivision__ring(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__le__D2,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 224.83/225.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__leI,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 224.83/225.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__le__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.02 => ( 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))
% 224.83/225.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 224.83/225.02 & 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)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__ge__minus__self,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__less__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 224.83/225.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_bin__less__0__simps_I3_J,axiom,
% 224.83/225.02 ! [V_w_2] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I27_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I21_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__eq__int__code_I14_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I32_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I10_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I4_J,axiom,
% 224.83/225.02 ! [V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__int__code_I15_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I16_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__Bit0__Bit1,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__Bit1__Bit0,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__min__eq__max,axiom,
% 224.83/225.02 ! [V_y,V_x,T_a] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__max__eq__min,axiom,
% 224.83/225.02 ! [V_y,V_x,T_a] :
% 224.83/225.02 ( class_Groups_Olinordered__ab__group__add(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zadd__zminus__inverse2,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_negative__eq__positive,axiom,
% 224.83/225.02 ! [V_m_2,V_n_2] :
% 224.83/225.02 ( 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)
% 224.83/225.02 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.02 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__bin__simps_I3_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__bin__simps_I10_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__bin__simps_I9_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_not__int__zless__negative,axiom,
% 224.83/225.02 ! [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)))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__int__def__symmetric,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__int__def,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Ints__minus,axiom,
% 224.83/225.02 ! [V_a_2,T_b] :
% 224.83/225.02 ( class_Rings_Oring__1(T_b)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__number__of__Bit0,axiom,
% 224.83/225.02 ! [V_w_2] :
% 224.83/225.02 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 224.83/225.02 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pred__Bit1,axiom,
% 224.83/225.02 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pred__Bit0,axiom,
% 224.83/225.02 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__Bit1,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_succ__Bit0,axiom,
% 224.83/225.02 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_succ__Bit1,axiom,
% 224.83/225.02 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_number__of__Bit0,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__minus__le__zero,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__of__nonpos,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__if,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oabs__if(T_a)
% 224.83/225.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__of__neg,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__eq__int__code_I15_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I33_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_less__int__code_I14_J,axiom,
% 224.83/225.02 ! [V_k2_2,V_k1_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_rel__simps_I15_J,axiom,
% 224.83/225.02 ! [V_l_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__number__of__eq,axiom,
% 224.83/225.02 ! [V_w,V_v,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__Bit1,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_int__zle__neg,axiom,
% 224.83/225.02 ! [V_m_2,V_n_2] :
% 224.83/225.02 ( 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))))
% 224.83/225.02 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.02 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_negative__zle__0,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_minus__numeral__code_I6_J,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zabs__def,axiom,
% 224.83/225.02 ! [V_i] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__zminus__int,axiom,
% 224.83/225.02 ! [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))))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_diff__bin__simps_I8_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__Bit1__Bit1,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zero__code__numeral__code,axiom,
% 224.83/225.02 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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_double__number__of__Bit0,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_abs__number__of,axiom,
% 224.83/225.02 ! [V_x,T_a] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 & class_Rings_Olinordered__idom(T_a) )
% 224.83/225.02 => ( ( 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)))
% 224.83/225.02 => 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)) )
% 224.83/225.02 & ( ~ 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)))
% 224.83/225.02 => 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) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__number__of__diff2,axiom,
% 224.83/225.02 ! [V_w,V_c,V_v,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_number__of1,axiom,
% 224.83/225.02 ! [V_n] :
% 224.83/225.02 ( 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_n)))
% 224.83/225.02 => ( 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(V_n))))
% 224.83/225.02 & 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_OBit1(V_n)))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_number__of__pred,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_not__zle__0__negative,axiom,
% 224.83/225.02 ! [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))))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_negative__zless__0,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__2__right,axiom,
% 224.83/225.02 ! [V_z,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__2,axiom,
% 224.83/225.02 ! [V_z,T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_one__add__one__is__two,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_numeral__2__eq__2,axiom,
% 224.83/225.02 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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_semiring__norm_I115_J,axiom,
% 224.83/225.02 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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 224.83/225.02 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))))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__2__eq__Suc_H,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_add__2__eq__Suc,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__mult__2__right,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__mult__2,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 224.83/225.02 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)))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__1__add__1,axiom,
% 224.83/225.02 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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__special_I4_J,axiom,
% 224.83/225.02 ! [V_x_2,T_b] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.02 <=> 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))))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__special_I2_J,axiom,
% 224.83/225.02 ! [V_y_2,T_b] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 224.83/225.02 <=> 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)))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__zmod__mult__2,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__number__of__Bit1,axiom,
% 224.83/225.02 ! [V_v,V_w] :
% 224.83/225.02 ( ( 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)))
% 224.83/225.02 => 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)) )
% 224.83/225.02 & ( ~ 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)))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__zmod__mult__2,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__zdiv__mult__2,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__zdiv__mult__2,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_ComplI,axiom,
% 224.83/225.02 ! [V_A_2,V_c_2,T_b] :
% 224.83/225.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_DIVISION__BY__ZERO,axiom,
% 224.83/225.02 ! [V_a] :
% 224.83/225.02 ( 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)
% 224.83/225.02 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__div__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zdiv__trivial,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mod__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zadd1__eq,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__div__equality2,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__div__equality,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mod__equality2,axiom,
% 224.83/225.02 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mod__equality,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zmod__equality2,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zmod__equality,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zmult1__eq,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zdiv__equality,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zdiv__equality_H,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult__div__cancel,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__self,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__by__0,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__0,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__cong,axiom,
% 224.83/225.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 224.83/225.02 => 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) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__simps_I1_J,axiom,
% 224.83/225.02 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__simps_I2_J,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__left__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__right__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__self1,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__add__self2,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__cong,axiom,
% 224.83/225.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 224.83/225.02 => 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) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__simps_I4_J,axiom,
% 224.83/225.02 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__mult2,axiom,
% 224.83/225.02 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__mult1,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__left__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__right__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__diff__cong,axiom,
% 224.83/225.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 224.83/225.02 => 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) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__diff__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__diff__left__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__diff__right__eq,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__minus__eq,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__minus__cong,axiom,
% 224.83/225.02 ! [V_a_H,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Oring__div(T_a)
% 224.83/225.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Compl__iff,axiom,
% 224.83/225.02 ! [V_A_2,V_c_2,T_b] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_ComplD,axiom,
% 224.83/225.02 ! [V_A_2,V_c_2,T_b] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_ComplE,axiom,
% 224.83/225.02 ! [V_A_2,V_c_2,T_b] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zero,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__self,axiom,
% 224.83/225.02 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zero,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Compl__subset__Compl__iff,axiom,
% 224.83/225.02 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Compl__anti__mono,axiom,
% 224.83/225.02 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zminus2,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zminus__zminus,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zmult1__eq,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__simps_I3_J,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiff__zmod__left,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiff__zmod__right,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus2,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus__zminus,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zminus__zmod,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__0,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__by__0,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__by__1,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__self1__is__0,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__self2__is__0,axiom,
% 224.83/225.02 ! [V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zmult2__eq,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__self2,axiom,
% 224.83/225.02 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult__self1,axiom,
% 224.83/225.02 ! [V_b,V_c,V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__by__1,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zminus1__eq__if,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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)) )
% 224.83/225.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zminus2__eq__if,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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)) )
% 224.83/225.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_iszero__def,axiom,
% 224.83/225.02 ! [V_z_2,T_b] :
% 224.83/225.02 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.02 => ( c_Int_Oiszero(T_b,V_z_2)
% 224.83/225.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_iszero__0,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.02 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 224.83/225.02 ! [V_y,V_x] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_not__iszero__1,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.02 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__neg__pos__less0,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__self,axiom,
% 224.83/225.02 ! [V_a] :
% 224.83/225.02 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_subset__Compl__self__eq,axiom,
% 224.83/225.02 ! [V_A_2,T_b] :
% 224.83/225.02 ( 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)))
% 224.83/225.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 224.83/225.02 ! [V_y,V_x] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__le__nonneg__dividend,axiom,
% 224.83/225.02 ! [V_k,V_m] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__mod__bound,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__mod__bound,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__number__of__Bit0,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__eq__0__iff,axiom,
% 224.83/225.02 ! [V_d_2,V_m_2] :
% 224.83/225.02 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus2__not__zero,axiom,
% 224.83/225.02 ! [V_l,V_k] :
% 224.83/225.02 ( 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)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus1__not__zero,axiom,
% 224.83/225.02 ! [V_l,V_k] :
% 224.83/225.02 ( 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)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__mult1,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__mult2,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__self1__is__id,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__self2__is__id,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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 ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__mult1__if,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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) )
% 224.83/225.02 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__self,axiom,
% 224.83/225.02 ! [V_a,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_split__neg__lemma,axiom,
% 224.83/225.02 ! [V_n_2,V_P_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> ! [B_i,B_j] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_split__pos__lemma,axiom,
% 224.83/225.02 ! [V_n_2,V_P_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> ! [B_i,B_j] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__mono1__neg,axiom,
% 224.83/225.02 ! [V_b,V_a_H,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__mono1,axiom,
% 224.83/225.02 ! [V_b,V_a_H,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__neg__neg__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__mono2__neg,axiom,
% 224.83/225.02 ! [V_b,V_b_H,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__nonpos__pos__le0,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__pos__pos__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__nonneg__neg__le0,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__mono2,axiom,
% 224.83/225.02 ! [V_b,V_b_H,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 224.83/225.02 ! [V_b_2,V_a_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 224.83/225.02 ! [V_i_2,V_k_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 224.83/225.02 ! [V_a_2,V_b_2] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__eq__0__iff,axiom,
% 224.83/225.02 ! [V_k_2,V_i_2] :
% 224.83/225.02 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 224.83/225.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_int__div__less__self,axiom,
% 224.83/225.02 ! [V_k,V_x] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__zmult2__eq,axiom,
% 224.83/225.02 ! [V_b,V_a,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__neg__neg__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 224.83/225.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__mod__conj,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 & 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_neg__mod__sign,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__pos__pos__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__mod__conj,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 & 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_pos__mod__sign,axiom,
% 224.83/225.02 ! [V_a,V_b] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.02 => 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))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus1__eq__if,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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) )
% 224.83/225.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__zminus2__eq__if,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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) )
% 224.83/225.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__self2,axiom,
% 224.83/225.02 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult__self1,axiom,
% 224.83/225.02 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__add__self2,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__add__self1,axiom,
% 224.83/225.02 ! [V_a,V_b,T_a] :
% 224.83/225.02 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_iszero__Numeral0,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_iszero__number__of__Bit1,axiom,
% 224.83/225.02 ! [V_w,T_a] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 & class_Int_Oring__char__0(T_a) )
% 224.83/225.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_iszero__number__of__Bit0,axiom,
% 224.83/225.02 ! [V_w_2,T_b] :
% 224.83/225.02 ( ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 & class_Int_Oring__char__0(T_b) )
% 224.83/225.02 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 224.83/225.02 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__pos__neg__trivial,axiom,
% 224.83/225.02 ! [V_b,V_a] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.02 => ( 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)))
% 224.83/225.02 => 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) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_divmod__int__rel__div__eq,axiom,
% 224.83/225.02 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 224.83/225.02 ( 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)
% 224.83/225.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 224.83/225.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_split__zdiv,axiom,
% 224.83/225.02 ! [V_k_2,V_n_2,V_P_2] :
% 224.83/225.02 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 224.83/225.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.02 => ! [B_i] :
% 224.83/225.02 ( ? [B_j] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 224.83/225.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ! [B_i] :
% 224.83/225.02 ( ? [B_j] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_divmod__int__rel__mod__eq,axiom,
% 224.83/225.02 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 224.83/225.02 ( 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)
% 224.83/225.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 224.83/225.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult2__lemma__aux2,axiom,
% 224.83/225.02 ! [V_q,V_r,V_b,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult2__lemma__aux1,axiom,
% 224.83/225.02 ! [V_q,V_r,V_b,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult2__lemma__aux4,axiom,
% 224.83/225.02 ! [V_q,V_b,V_r,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmult2__lemma__aux3,axiom,
% 224.83/225.02 ! [V_q,V_b,V_r,V_c] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 224.83/225.02 => 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))) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_split__zmod,axiom,
% 224.83/225.02 ! [V_k_2,V_n_2,V_P_2] :
% 224.83/225.02 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 224.83/225.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.02 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 224.83/225.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 224.83/225.02 => ! [B_i,B_j] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 224.83/225.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 => ! [B_i,B_j] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 224.83/225.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.02 & 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) )
% 224.83/225.02 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zmod__number__of__Bit0,axiom,
% 224.83/225.02 ! [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))) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_not__iszero__Numeral1,axiom,
% 224.83/225.02 ! [T_a] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_a)
% 224.83/225.02 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__number__of__eq,axiom,
% 224.83/225.02 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 224.83/225.02 <=> 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)))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zdiv__number__of__Bit1,axiom,
% 224.83/225.02 ! [V_v,V_w] :
% 224.83/225.02 ( ( 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)))
% 224.83/225.02 => 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)) )
% 224.83/225.02 & ( ~ 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)))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__special_I1_J,axiom,
% 224.83/225.02 ! [V_y_2,T_b] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 224.83/225.02 <=> 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)))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_eq__special_I3_J,axiom,
% 224.83/225.02 ! [V_x_2,T_b] :
% 224.83/225.02 ( class_Int_Onumber__ring(T_b)
% 224.83/225.02 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.02 <=> 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)))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__of__aux__code,axiom,
% 224.83/225.02 ! [V_n,V_i] :
% 224.83/225.02 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.02 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 224.83/225.02 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_z3div__def,axiom,
% 224.83/225.02 ! [V_k,V_l] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.02 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_z3mod__def,axiom,
% 224.83/225.02 ! [V_k,V_l] :
% 224.83/225.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.02 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 224.83/225.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.02 => 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)) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_of__nat__double,axiom,
% 224.83/225.02 ! [V_x,T_a] :
% 224.83/225.02 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_power__minus1__odd,axiom,
% 224.83/225.02 ! [V_n,T_a] :
% 224.83/225.02 ( class_Rings_Oring__1(T_a)
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_odd__power__less__zero,axiom,
% 224.83/225.02 ! [V_n,V_a,T_a] :
% 224.83/225.02 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.02 => 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))) ) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Compl__eq__Compl__iff,axiom,
% 224.83/225.02 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.02 ( 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)
% 224.83/225.02 <=> V_A_2 = V_B_2 ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_double__complement,axiom,
% 224.83/225.02 ! [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 ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 224.83/225.02 ! [V_n,V_x] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.02 => 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)) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__add1__eq,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_nat__power__eq,axiom,
% 224.83/225.02 ! [V_n,V_z] :
% 224.83/225.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.02 => 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) ) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mult1__eq,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mod__mult2__eq,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_zpower__int,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_int__power,axiom,
% 224.83/225.02 ! [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) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_div__mod__equality_H,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_mult__div__cancel,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_Divides_Omod__div__equality_H,axiom,
% 224.83/225.02 ! [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)) ).
% 224.83/225.02
% 224.83/225.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 224.83/225.02 ! [V_q,V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__le__dividend,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__le__mono,axiom,
% 224.83/225.03 ! [V_k,V_n,V_m] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__mult2__eq,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__less,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__less__eq__dividend,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__mult__distrib,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__mult__distrib2,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__int,axiom,
% 224.83/225.03 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 224.83/225.03 ! [V_q,V_p,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zpower__zpower,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zpower__zmod,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__nat__number__of__number__of,axiom,
% 224.83/225.03 ! [V_w,V_v] :
% 224.83/225.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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)) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__nat__number__of,axiom,
% 224.83/225.03 ! [V_n,V_v] :
% 224.83/225.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__div__distrib,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mod__distrib,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__1,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__less,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mult__div__cancel__disj,axiom,
% 224.83/225.03 ! [V_n,V_m,V_k] :
% 224.83/225.03 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 224.83/225.03 ! [V_q,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 224.83/225.03 ! [V_q,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 224.83/225.03 ! [V_q,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 224.83/225.03 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__0,axiom,
% 224.83/225.03 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__1,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__Suc,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 224.83/225.03 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.03 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__less__divisor,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 224.83/225.03 ! [V_q,V_p,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_ex__nat,axiom,
% 224.83/225.03 ! [V_P_2] :
% 224.83/225.03 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.03 <=> ? [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.03 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_all__nat,axiom,
% 224.83/225.03 ! [V_P_2] :
% 224.83/225.03 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.03 <=> ! [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.03 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 224.83/225.03 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 224.83/225.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_eq__nat__nat__iff,axiom,
% 224.83/225.03 ! [V_z_H_2,V_z_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 224.83/225.03 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 224.83/225.03 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__eq__0__iff,axiom,
% 224.83/225.03 ! [V_d_2,V_m_2] :
% 224.83/225.03 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 224.83/225.03 ! [V_n,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__if,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__geq,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__mult__self3,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_le__mod__geq,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zdiv__int,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__number__of__def,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__number__of,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zpower__zadd__distrib,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 224.83/225.03 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zmod__int,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_neg__nat,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 224.83/225.03 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_not__neg__nat,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 224.83/225.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Ints__power,axiom,
% 224.83/225.03 ! [V_n_2,V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Oring__1(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__nat__number__of,axiom,
% 224.83/225.03 ! [V_v_H,V_v] :
% 224.83/225.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__nat__number__of,axiom,
% 224.83/225.03 ! [V_v_H,V_v] :
% 224.83/225.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 224.83/225.03 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.03 => 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))) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__div__nat__number__of,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__le__mono2,axiom,
% 224.83/225.03 ! [V_k,V_n,V_m] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mult__div__cancel1,axiom,
% 224.83/225.03 ! [V_n,V_m,V_k] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__mult__self__is__m,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__mult__self1__is__m,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__less__dividend,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__0__iff,axiom,
% 224.83/225.03 ! [V_i_2] :
% 224.83/225.03 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__le__0,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zless__nat__conj,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 224.83/225.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mono__iff,axiom,
% 224.83/225.03 ! [V_w_2,V_z_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__le__divisor,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__1,axiom,
% 224.83/225.03 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__mult__self4,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__nat__eq,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__eq__iff,axiom,
% 224.83/225.03 ! [V_z_2,V_m_2] :
% 224.83/225.03 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 224.83/225.03 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 224.83/225.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__0__le,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zless__nat__eq__int__zless,axiom,
% 224.83/225.03 ! [V_z_2,V_m_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 224.83/225.03 <=> 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__zminus__int,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__le__zpower__abs,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__abs__mult__distrib,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__mod__nat__number__of,axiom,
% 224.83/225.03 ! [V_v_H] :
% 224.83/225.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.03 => 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)) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__geq,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__if,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.03 => 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)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_split__div,axiom,
% 224.83/225.03 ! [V_k_2,V_n_2,V_P_2] :
% 224.83/225.03 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 224.83/225.03 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 224.83/225.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => ! [B_i,B_j] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 224.83/225.03 => ( 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)
% 224.83/225.03 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__less__nat__eq,axiom,
% 224.83/225.03 ! [V_z_2] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__less__eq__zless,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__eq__iff,axiom,
% 224.83/225.03 ! [V_m_2,V_w_2] :
% 224.83/225.03 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 224.83/225.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__eq__iff2,axiom,
% 224.83/225.03 ! [V_w_2,V_m_2] :
% 224.83/225.03 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 224.83/225.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__le__eq__zle,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2] :
% 224.83/225.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_split__nat,axiom,
% 224.83/225.03 ! [V_i_2,V_P_2] :
% 224.83/225.03 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 224.83/225.03 <=> ( ! [B_n] :
% 224.83/225.03 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 224.83/225.03 => hBOOL(hAPP(V_P_2,B_n)) )
% 224.83/225.03 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_split__mod,axiom,
% 224.83/225.03 ! [V_k_2,V_n_2,V_P_2] :
% 224.83/225.03 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 224.83/225.03 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 224.83/225.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => ! [B_i,B_j] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 224.83/225.03 => ( 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)
% 224.83/225.03 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__lemma,axiom,
% 224.83/225.03 ! [V_q,V_b,V_r,V_c] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__add__distrib,axiom,
% 224.83/225.03 ! [V_z_H,V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power3__eq__cube,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__eq__iff__number__of,axiom,
% 224.83/225.03 ! [V_v_2,V_m_2] :
% 224.83/225.03 ( 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)
% 224.83/225.03 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 224.83/225.03 & 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_v_2))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mult__distrib,axiom,
% 224.83/225.03 ! [V_z_H,V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__diff__distrib,axiom,
% 224.83/225.03 ! [V_z,V_z_H] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__times__mod__eq,axiom,
% 224.83/225.03 ! [V_m,V_k] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 224.83/225.03 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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__eq__if,axiom,
% 224.83/225.03 ! [V_p,V_m] :
% 224.83/225.03 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 224.83/225.03 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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)))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__less__zpower__abs__iff,axiom,
% 224.83/225.03 ! [V_n_2,V_x_2] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.03 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_le__div__geq,axiom,
% 224.83/225.03 ! [V_m,V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_split__div__lemma,axiom,
% 224.83/225.03 ! [V_m_2,V_q_2,V_n_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 224.83/225.03 => ( ( 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))
% 224.83/225.03 & 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)))) )
% 224.83/225.03 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_split__div_H,axiom,
% 224.83/225.03 ! [V_n_2,V_m_2,V_P_2] :
% 224.83/225.03 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 224.83/225.03 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 224.83/225.03 | ? [B_q] :
% 224.83/225.03 ( 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))
% 224.83/225.03 & 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))))
% 224.83/225.03 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__div__eq__add3__div,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__Suc__eq__div__add3,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div2__Suc__Suc,axiom,
% 224.83/225.03 ! [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))))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_add__self__div__2,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__less__nat__eq,axiom,
% 224.83/225.03 ! [V_z_2] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__less__iff,axiom,
% 224.83/225.03 ! [V_m_2,V_w_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 224.83/225.03 <=> 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 224.83/225.03 ! [V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__eq__power2,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 224.83/225.03 => ( 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)
% 224.83/225.03 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__power2,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__eq__square,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod2__Suc__Suc,axiom,
% 224.83/225.03 ! [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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__power2,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 224.83/225.03 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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__minus,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mult__distrib__neg,axiom,
% 224.83/225.03 ! [V_z_H,V_z] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__even__eq,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__abs,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_abs__power2,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__le__power2,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)))))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__le__imp__le,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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))))))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__eq__imp__eq,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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))))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.03 => V_x = V_y ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__less__0,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => ~ 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__less__power2,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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))))))
% 224.83/225.03 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sum__power2__eq__zero__iff,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)
% 224.83/225.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__2,axiom,
% 224.83/225.03 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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__eq__square__number__of,axiom,
% 224.83/225.03 ! [V_w,T_b] :
% 224.83/225.03 ( ( class_Groups_Omonoid__mult(T_b)
% 224.83/225.03 & class_Int_Onumber(T_b) )
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__eq__1__iff,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 224.83/225.03 => ( 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)
% 224.83/225.03 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.03 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 224.83/225.03 ! [V_n,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__minus__even,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__2__gt__zero,axiom,
% 224.83/225.03 ! [V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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)))))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__less__imp__less,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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))))))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sum__power2__le__zero__iff,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sum__power2__ge__zero,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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))))))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_not__sum__power2__lt__zero,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => ~ 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sum__power2__gt__zero__iff,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))))))
% 224.83/225.03 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__sum,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__le__even__power_H,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 224.83/225.03 ! [V_n,V_x,T_a] :
% 224.83/225.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__odd__eq,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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))))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod2__gr__0,axiom,
% 224.83/225.03 ! [V_m_2] :
% 224.83/225.03 ( 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))))))
% 224.83/225.03 <=> 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__minus1__even,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__power__div__base,axiom,
% 224.83/225.03 ! [V_k,V_m] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 224.83/225.03 => 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)))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 224.83/225.03 ! [V_n] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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)))))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power2__diff,axiom,
% 224.83/225.03 ! [V_y,V_x,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => ( 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)))))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__of__code,axiom,
% 224.83/225.03 ! [V_k] :
% 224.83/225.03 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.03 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.03 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.03 => ( ( 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)
% 224.83/225.03 => 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)))))) )
% 224.83/225.03 & ( 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)
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__strict__mono,axiom,
% 224.83/225.03 ! [V_n,V_b,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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))) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__diff,axiom,
% 224.83/225.03 ! [V_m,V_n,V_a,T_a] :
% 224.83/225.03 ( class_Fields_Ofield(T_a)
% 224.83/225.03 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.03 => 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)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__less__power,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__increasing__iff,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__le__imp__le__exp,axiom,
% 224.83/225.03 ! [V_n,V_m,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_field__power__not__zero,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 224.83/225.03 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 224.83/225.03 ! [V_m_2,V_x_2] :
% 224.83/225.03 ( 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))
% 224.83/225.03 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__Suc__0,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__power__less__imp__less,axiom,
% 224.83/225.03 ! [V_n,V_m,V_i] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__zero__less__power__iff,axiom,
% 224.83/225.03 ! [V_n_2,V_x_2] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 224.83/225.03 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__mult__distrib,axiom,
% 224.83/225.03 ! [V_n,V_b,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Ocomm__monoid__mult(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__commutes,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__one,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__nat__power,axiom,
% 224.83/225.03 ! [V_n,V_m,T_a] :
% 224.83/225.03 ( class_Rings_Osemiring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__mult,axiom,
% 224.83/225.03 ! [V_n,V_m,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__divide,axiom,
% 224.83/225.03 ! [V_n,V_b,V_a,T_a] :
% 224.83/225.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__abs,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__one__right,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__le__power,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__mono,axiom,
% 224.83/225.03 ! [V_n,V_b,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__less__power,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__eq__0__iff,axiom,
% 224.83/225.03 ! [V_n_2,V_a_2,T_b] :
% 224.83/225.03 ( ( class_Power_Opower(T_b)
% 224.83/225.03 & class_Rings_Omult__zero(T_b)
% 224.83/225.03 & class_Rings_Ono__zero__divisors(T_b)
% 224.83/225.03 & class_Rings_Ozero__neq__one(T_b) )
% 224.83/225.03 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_one__le__power,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__0__Suc,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( ( class_Power_Opower(T_a)
% 224.83/225.03 & class_Rings_Osemiring__0(T_a) )
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__inject__exp,axiom,
% 224.83/225.03 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 224.83/225.03 => ( 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)
% 224.83/225.03 <=> V_m_2 = V_n_2 ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__Suc2,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__Suc,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Power_Opower(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__one__le__power,axiom,
% 224.83/225.03 ! [V_n,V_i] :
% 224.83/225.03 ( 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))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__0,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Power_Opower(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__add,axiom,
% 224.83/225.03 ! [V_n,V_m,V_a,T_a] :
% 224.83/225.03 ( class_Groups_Omonoid__mult(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nonzero__power__divide,axiom,
% 224.83/225.03 ! [V_n,V_a,V_b,T_a] :
% 224.83/225.03 ( class_Fields_Ofield(T_a)
% 224.83/225.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__one__over,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_abs__power__minus,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__less__imp__less__base,axiom,
% 224.83/225.03 ! [V_b,V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__le__imp__le__base,axiom,
% 224.83/225.03 ! [V_b,V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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))))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__inject__base,axiom,
% 224.83/225.03 ! [V_b,V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.03 => V_a = V_b ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__gt1__lemma,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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)))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__less__power__Suc,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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)))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__0__left,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( ( class_Power_Opower(T_a)
% 224.83/225.03 & class_Rings_Osemiring__0(T_a) )
% 224.83/225.03 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__gt1,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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)))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__strict__increasing,axiom,
% 224.83/225.03 ! [V_a,V_N,V_n,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__less__imp__less__exp,axiom,
% 224.83/225.03 ! [V_n,V_m,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__strict__increasing__iff,axiom,
% 224.83/225.03 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zero__le__power__abs,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__increasing,axiom,
% 224.83/225.03 ! [V_a,V_N,V_n,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__minus,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__Suc__less,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__eq__imp__eq__base,axiom,
% 224.83/225.03 ! [V_b,V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( 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)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.03 => V_a = V_b ) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__Suc__less__one,axiom,
% 224.83/225.03 ! [V_n,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.03 => 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__strict__decreasing,axiom,
% 224.83/225.03 ! [V_a,V_N,V_n,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.03 => 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))) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__decreasing,axiom,
% 224.83/225.03 ! [V_a,V_N,V_n,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__semidom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 224.83/225.03 => 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))) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__aux__def,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__morphism__nat__int,axiom,
% 224.83/225.03 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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__power__power,axiom,
% 224.83/225.03 ! [T_b] :
% 224.83/225.03 ( class_Power_Opower(T_b)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__m1__odd,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power__m1__even,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I24_J,axiom,
% 224.83/225.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I7_J,axiom,
% 224.83/225.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I37_J,axiom,
% 224.83/225.03 c_Int_OPls != c_Int_OMin ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I40_J,axiom,
% 224.83/225.03 c_Int_OMin != c_Int_OPls ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I47_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 224.83/225.03 <=> V_k_2 = c_Int_OMin ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I43_J,axiom,
% 224.83/225.03 ! [V_l_2] :
% 224.83/225.03 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 224.83/225.03 <=> c_Int_OMin = V_l_2 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Bit1__Min,axiom,
% 224.83/225.03 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I45_J,axiom,
% 224.83/225.03 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I42_J,axiom,
% 224.83/225.03 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_bin__less__0__simps_I2_J,axiom,
% 224.83/225.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I20_J,axiom,
% 224.83/225.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I23_J,axiom,
% 224.83/225.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I30_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I26_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I3_J,axiom,
% 224.83/225.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I6_J,axiom,
% 224.83/225.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I13_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I9_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I28_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I8_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_eq__number__of__Pls__Min,axiom,
% 224.83/225.03 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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Int_OMin__def,axiom,
% 224.83/225.03 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mult__Min,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_neg__number__of__Min,axiom,
% 224.83/225.03 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_pred__Pls,axiom,
% 224.83/225.03 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 224.83/225.03
% 224.83/225.03 fof(fact_add__Min,axiom,
% 224.83/225.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_add__Min__right,axiom,
% 224.83/225.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_pred__Min,axiom,
% 224.83/225.03 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nonzero__number__of__Min,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_succ__Min,axiom,
% 224.83/225.03 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 224.83/225.03
% 224.83/225.03 fof(fact_diff__bin__simps_I2_J,axiom,
% 224.83/225.03 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mult__minus1,axiom,
% 224.83/225.03 ! [V_z,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mult__minus1__right,axiom,
% 224.83/225.03 ! [V_z,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_number__of__Min,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_arith__simps_I31_J,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_abs__minus__one,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 & class_Rings_Olinordered__idom(T_a) )
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_divide__minus1,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.03 & class_Int_Onumber__ring(T_a) )
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I11_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rel__simps_I25_J,axiom,
% 224.83/225.03 ! [V_k_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zmod__minus1__right,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_diff__bin__simps_I4_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_minus__Min,axiom,
% 224.83/225.03 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 224.83/225.03 ! [V_n,V_m] :
% 224.83/225.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.03 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.03 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zmult__eq__1__iff,axiom,
% 224.83/225.03 ! [V_n_2,V_m_2] :
% 224.83/225.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.03 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 224.83/225.03 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 224.83/225.03 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 224.83/225.03 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_diff__bin__simps_I6_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_diff__bin__simps_I5_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power_Opower_Opower__0,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_power_Opower_Opower__Suc,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zdiv__minus1__right,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_minus1__divide,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 224.83/225.03 & class_Int_Onumber__ring(T_a) )
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_abs__power__minus__one,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 & class_Rings_Olinordered__idom(T_a) )
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__eq__minus1,axiom,
% 224.83/225.03 ! [V_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_div__pos__neg__trivial,axiom,
% 224.83/225.03 ! [V_b,V_a] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zmod__minus1,axiom,
% 224.83/225.03 ! [V_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osize_I1_J,axiom,
% 224.83/225.03 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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__of__nat,axiom,
% 224.83/225.03 ! [V_k,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => 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)))) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => 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)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 224.83/225.03 ! [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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_negD,axiom,
% 224.83/225.03 ! [V_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.03 => ? [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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osize_I3_J,axiom,
% 224.83/225.03 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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__eq__iff,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2,T_b] :
% 224.83/225.03 ( class_Int_Oring__char__0(T_b)
% 224.83/225.03 => ( 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)
% 224.83/225.03 <=> V_w_2 = V_z_2 ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_number__of__eq,axiom,
% 224.83/225.03 ! [V_k,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_int__number__of__def,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__int__eq,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__eq__0__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Int_Oring__char__0(T_b)
% 224.83/225.03 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__0__eq__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Int_Oring__char__0(T_b)
% 224.83/225.03 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 224.83/225.03 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__0,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__le__iff,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__less__iff,axiom,
% 224.83/225.03 ! [V_z_2,V_w_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__add,axiom,
% 224.83/225.03 ! [V_z,V_w,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__number__of__eq,axiom,
% 224.83/225.03 ! [V_v,T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__mult,axiom,
% 224.83/225.03 ! [V_z,V_w,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__1,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__diff,axiom,
% 224.83/225.03 ! [V_z,V_w,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__of__nat__eq,axiom,
% 224.83/225.03 ! [V_n,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__minus,axiom,
% 224.83/225.03 ! [V_z,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Ints__of__int,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Rings_Oring__1(T_b)
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__power,axiom,
% 224.83/225.03 ! [V_n,V_z,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__m1,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Int_Onumber__ring(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__0__le__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__le__0__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__0__less__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__int__less__0__iff,axiom,
% 224.83/225.03 ! [V_z_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_of__nat__nat,axiom,
% 224.83/225.03 ! [V_z,T_a] :
% 224.83/225.03 ( class_Rings_Oring__1(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osize_I4_J,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osize_I2_J,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_card__Pow,axiom,
% 224.83/225.03 ! [V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__if,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( class_Groups_Osgn__if(T_a)
% 224.83/225.03 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 224.83/225.03 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 224.83/225.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_PowI,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__sgn,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__top,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__not__empty,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Oinject,axiom,
% 224.83/225.03 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 224.83/225.03 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 224.83/225.03 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__empty,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__bottom,axiom,
% 224.83/225.03 ! [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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_finite__Pow__iff,axiom,
% 224.83/225.03 ! [V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 224.83/225.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_PowD,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__mono,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Pow__iff,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__0__0,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.03 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn0,axiom,
% 224.83/225.03 ! [T_a] :
% 224.83/225.03 ( class_Groups_Osgn__if(T_a)
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__times,axiom,
% 224.83/225.03 ! [V_b,V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 224.83/225.03 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__less,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__greater,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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)))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mult__sgn__abs,axiom,
% 224.83/225.03 ! [V_x,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_abs__sgn,axiom,
% 224.83/225.03 ! [V_k,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Suc__code__numeral__minus__one,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__pos,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__1__pos,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__gcd_Osimps,axiom,
% 224.83/225.03 ! [V_x,V_y] :
% 224.83/225.03 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 224.83/225.03 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_zsgn__def,axiom,
% 224.83/225.03 ! [V_i] :
% 224.83/225.03 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.03 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__neg,axiom,
% 224.83/225.03 ! [V_a,T_a] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_a)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 224.83/225.03 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_sgn__1__neg,axiom,
% 224.83/225.03 ! [V_a_2,T_b] :
% 224.83/225.03 ( class_Rings_Olinordered__idom(T_b)
% 224.83/225.03 => ( 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))
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 224.83/225.03 ! [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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 224.83/225.03 ! [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat0__intermed__int__val,axiom,
% 224.83/225.03 ! [V_k_2,V_f_2,V_n_2] :
% 224.83/225.03 ( ! [B_i] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.03 => 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))) )
% 224.83/225.03 => ( 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))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 224.83/225.03 => ? [B_i] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.03 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 224.83/225.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 224.83/225.03 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 224.83/225.03 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 224.83/225.03 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 224.83/225.03 ! [V_n,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 224.83/225.03 ! [V_y,V_x] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x)
% 224.83/225.03 => ( c_Nat__Transfer_Ois__nat(V_y)
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_is__nat__def,axiom,
% 224.83/225.03 ! [V_x_2] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 224.83/225.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 224.83/225.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Powp__mono,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__mod__eq__lemma,axiom,
% 224.83/225.03 ! [V_y,V_n,V_x] :
% 224.83/225.03 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 224.83/225.03 => ? [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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__induct__0,axiom,
% 224.83/225.03 ! [V_i_2,V_P_2,V_p_2] :
% 224.83/225.03 ( ! [B_i] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 224.83/225.03 => ( hBOOL(hAPP(V_P_2,B_i))
% 224.83/225.03 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 224.83/225.03 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 224.83/225.03 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__intermed__int__val,axiom,
% 224.83/225.03 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 224.83/225.03 ( ! [B_i] :
% 224.83/225.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 224.83/225.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 224.83/225.03 => 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))) )
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 224.83/225.03 => ? [B_i] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 224.83/225.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.03 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_log_Osimps,axiom,
% 224.83/225.03 ! [V_i,V_b] :
% 224.83/225.03 ( ( ( 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)))
% 224.83/225.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 224.83/225.03 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 224.83/225.03 & ( ~ ( 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)))
% 224.83/225.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 224.83/225.03 => 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_minus__shift__def,axiom,
% 224.83/225.03 ! [V_r,V_l,V_k] :
% 224.83/225.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 224.83/225.03 => 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) )
% 224.83/225.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 224.83/225.03 => 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) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_inc__shift__def,axiom,
% 224.83/225.03 ! [V_k,V_v] :
% 224.83/225.03 ( ( V_v = V_k
% 224.83/225.03 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 224.83/225.03 & ( V_v != V_k
% 224.83/225.03 => 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)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_mod__div__decomp,axiom,
% 224.83/225.03 ! [V_b,V_a,T_a] :
% 224.83/225.03 ( class_Divides_Osemiring__div(T_a)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_minus__Min__eq__Max,axiom,
% 224.83/225.03 ! [V_S_2,T_b] :
% 224.83/225.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_minus__Max__eq__Min,axiom,
% 224.83/225.03 ! [V_S_2,T_b] :
% 224.83/225.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.03 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__eqI,axiom,
% 224.83/225.03 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 224.83/225.03 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_finite__imageI,axiom,
% 224.83/225.03 ! [V_h_2,T_c,V_F_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 <=> 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__mono,axiom,
% 224.83/225.03 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_subset__image__iff,axiom,
% 224.83/225.03 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ? [B_AA] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 224.83/225.03 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 <=> 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__Pow__surj,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.03 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( V_A_2 = V_B_2
% 224.83/225.03 <=> 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 224.83/225.03 ! [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 ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__iff,axiom,
% 224.83/225.03 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 224.83/225.03 <=> ? [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.03 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_imageI,axiom,
% 224.83/225.03 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_rev__image__eqI,axiom,
% 224.83/225.03 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.03 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_empty__is__image,axiom,
% 224.83/225.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.03 ( 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)
% 224.83/225.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__empty,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__is__empty,axiom,
% 224.83/225.03 ! [V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.03 ( 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))
% 224.83/225.03 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__insert,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 224.83/225.03 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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 224.83/225.03 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))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 224.83/225.03 ! [V_A_2,V_x_2] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 224.83/225.03 <=> 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 224.83/225.03 ! [V_A_2] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 224.83/225.03 <=> 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__Pow__mono,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.03 ( 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))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_insert__image,axiom,
% 224.83/225.03 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.03 => 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) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_finite__surj,axiom,
% 224.83/225.03 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.03 => ( 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)))
% 224.83/225.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_image__diff__subset,axiom,
% 224.83/225.03 ! [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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_card__image__le,axiom,
% 224.83/225.03 ! [V_f_2,T_c,V_A_2,T_b] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.03 => 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))) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 224.83/225.03 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.03 ( class_Orderings_Olinorder(T_b)
% 224.83/225.03 => ( ! [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))
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 224.83/225.03 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.03 ( class_Orderings_Olinorder(T_b)
% 224.83/225.03 => ( ! [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))
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Max_Ohom__commute,axiom,
% 224.83/225.03 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.03 ( class_Orderings_Olinorder(T_b)
% 224.83/225.03 => ( ! [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))
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Min_Ohom__commute,axiom,
% 224.83/225.03 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.03 ( class_Orderings_Olinorder(T_b)
% 224.83/225.03 => ( ! [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))
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_hom__fold1__commute,axiom,
% 224.83/225.03 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.03 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.83/225.03 => ( ! [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))
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.03 => 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)) ) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Cantors__paradox,axiom,
% 224.83/225.03 ! [V_A_2,T_b] :
% 224.83/225.03 ~ ? [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) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 224.83/225.03 ! [V_N_2] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 224.83/225.03 <=> ? [B_m] :
% 224.83/225.03 ! [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_finite__nat__set__iff__bounded,axiom,
% 224.83/225.03 ! [V_N_2] :
% 224.83/225.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 224.83/225.03 <=> ? [B_m] :
% 224.83/225.03 ! [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 <=> 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.03 <=> 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 224.83/225.03 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_nat__set__def,axiom,
% 224.83/225.03 ! [V_S_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_S_2)
% 224.83/225.03 <=> ! [B_x] :
% 224.83/225.03 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 224.83/225.03 ! [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)) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 224.83/225.03 ! [V_B_2,V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.03 => ( V_A_2 = V_B_2
% 224.83/225.03 <=> 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) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 224.83/225.03 ! [V_x_2,V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 224.83/225.03 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 224.83/225.03 ! [V_x_2,V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 224.83/225.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 224.83/225.03 ! [V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => 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 ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 224.83/225.03 ! [V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 224.83/225.03 <=> 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))) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 224.83/225.03 ! [V_A_2] :
% 224.83/225.03 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => 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)) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 224.83/225.03 ! [V_A_2,V_x_2] :
% 224.83/225.03 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 224.83/225.03 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 224.83/225.03 <=> 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))) ) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_card__greaterThanLessThan__int,axiom,
% 224.83/225.03 ! [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)))) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 224.83/225.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 224.83/225.03 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 224.83/225.03 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 224.83/225.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 224.83/225.03
% 224.83/225.03 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 224.83/225.03 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 224.83/225.03 ( 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)))
% 224.83/225.03 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 224.83/225.03 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 224.83/225.04 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__greaterThanLessThan__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_greaterThanLessThan__empty,axiom,
% 224.83/225.04 ! [V_k_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ord_OatMost__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ord_OatLeast__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ord_OlessThan__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ord_OgreaterThan__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__image,axiom,
% 224.83/225.04 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 224.83/225.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => 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)))))) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__triv,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__greaterThanLessThan,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__idem__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.04 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 224.83/225.04 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__upd,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__same,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__apply,axiom,
% 224.83/225.04 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 224.83/225.04 ( ( V_z_2 = V_x_2
% 224.83/225.04 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 224.83/225.04 & ( V_z_2 != V_x_2
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__twist,axiom,
% 224.83/225.04 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 224.83/225.04 ( V_a_2 != V_c_2
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__other,axiom,
% 224.83/225.04 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 224.83/225.04 ( V_z_2 != V_x_2
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__upd__idem,axiom,
% 224.83/225.04 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 224.83/225.04 ( hAPP(V_f_2,V_x_2) = V_y_2
% 224.83/225.04 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__greaterThanLessThan,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 224.83/225.04 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 224.83/225.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.83/225.04 => ( ! [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))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__atLeastAtMost__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_minus__code__numeral__code,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_subtract__code__numeral__def,axiom,
% 224.83/225.04 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( 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))))
% 224.83/225.04 => 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))) )
% 224.83/225.04 & ( ~ 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))))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atLeastAtMost__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2] :
% 224.83/225.04 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 224.83/225.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__div__mod,axiom,
% 224.83/225.04 ! [V_l,V_k] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastatMost__empty__iff,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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))
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastatMost__empty__iff2,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastatMost__empty,axiom,
% 224.83/225.04 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__minus1,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastatMost__subset__iff,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 224.83/225.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastAtMost__singleton_H,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( V_a_2 = V_b_2
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 224.83/225.04 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> ( V_a_2 = V_b_2
% 224.83/225.04 & V_b_2 = V_c_2 ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastAtMost__singleton,axiom,
% 224.83/225.04 ! [V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__uminus__atLeastAtMost,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 224.83/225.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastatMost__psubset__iff,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 224.83/225.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 224.83/225.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg_Osimps,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( ( ( 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)))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ ( 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)))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__eqn,axiom,
% 224.83/225.04 ! [V_a,V_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => ( ( 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)))
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ 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)))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__eqn__number__of,axiom,
% 224.83/225.04 ! [V_w,V_v] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( 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))))
% 224.83/225.04 => 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))) )
% 224.83/225.04 & ( ~ 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))))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_simp__from__to,axiom,
% 224.83/225.04 ! [V_i_2,V_j_2] :
% 224.83/225.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( 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)))
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ 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)))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg_Osimps,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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) )
% 224.83/225.04 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_in__rel__def,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 224.83/225.04 <=> 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__eqn,axiom,
% 224.83/225.04 ! [V_a,V_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.04 => 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) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__eqn__number__of,axiom,
% 224.83/225.04 ! [V_w,V_v] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( 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)))
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ 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)))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atLeastAtMost,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__Suc__atLeastAtMost,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 224.83/225.04 ! [V_k_2,V_f_2] :
% 224.83/225.04 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastAtMostSuc__conv,axiom,
% 224.83/225.04 ! [V_n_2,V_m_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__head__Suc,axiom,
% 224.83/225.04 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 224.83/225.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__0,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__atLeastAtMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__cl__ivl__Suc,axiom,
% 224.83/225.04 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 224.83/225.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 224.83/225.04 => 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) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__ub__add__nat,axiom,
% 224.83/225.04 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 224.83/225.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.04 => ( 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))))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 224.83/225.04 ! [V_n_2,V_m_2] :
% 224.83/225.04 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 224.83/225.04 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__div__mod,axiom,
% 224.83/225.04 ! [V_l,V_k] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__mod__code__numeral__def,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nitpick_Orefl_H__def,axiom,
% 224.83/225.04 ! [V_r_2,T_b] :
% 224.83/225.04 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 224.83/225.04 <=> ! [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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__step,axiom,
% 224.83/225.04 ! [V_m,V_n] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I6_J,axiom,
% 224.83/225.04 ! [V_A_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 224.83/225.04 => 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)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I8_J,axiom,
% 224.83/225.04 ! [V_B_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 224.83/225.04 => 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))) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__zero,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__base,axiom,
% 224.83/225.04 ! [V_n,V_m] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__div__mod,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_all__nat__less,axiom,
% 224.83/225.04 ! [V_P_2,V_n_2] :
% 224.83/225.04 ( ! [B_m] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_m)) )
% 224.83/225.04 <=> ! [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ex__nat__less,axiom,
% 224.83/225.04 ! [V_P_2,V_n_2] :
% 224.83/225.04 ( ? [B_m] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_m)) )
% 224.83/225.04 <=> ? [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 224.83/225.04 ! [V_a,V_r,V_q,V_c,V_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 224.83/225.04 ! [V_c,V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg_Opsimps,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( ( 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)))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( ~ ( 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)))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_accp_Osimps,axiom,
% 224.83/225.04 ! [V_a_2,V_r_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 224.83/225.04 <=> ! [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 224.83/225.04 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_accp_Oequations,axiom,
% 224.83/225.04 ! [V_a_2,V_r_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 224.83/225.04 <=> ! [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 224.83/225.04 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_accp__downward,axiom,
% 224.83/225.04 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 224.83/225.04 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__unique,axiom,
% 224.83/225.04 ! [V_qr_H,V_qr,V_n,V_m] :
% 224.83/225.04 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 224.83/225.04 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 224.83/225.04 => V_qr = V_qr_H ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_accp__subset,axiom,
% 224.83/225.04 ! [V_R2_2,V_R1_2,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 224.83/225.04 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__eq,axiom,
% 224.83/225.04 ! [V_qr,V_n,V_m] :
% 224.83/225.04 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 224.83/225.04 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__eq,axiom,
% 224.83/225.04 ! [V_r,V_q,V_n,V_m] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__eq,axiom,
% 224.83/225.04 ! [V_r,V_q,V_n,V_m] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel,axiom,
% 224.83/225.04 ! [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)))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 224.83/225.04 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg_Opsimps,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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) )
% 224.83/225.04 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg_Opinduct,axiom,
% 224.83/225.04 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ! [B_a,B_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( ~ ( 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)))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pdivmod__posDivAlg,axiom,
% 224.83/225.04 ! [V_k,V_l] :
% 224.83/225.04 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pdivmod__def,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_zmult2__lemma,axiom,
% 224.83/225.04 ! [V_c,V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_rev__predicate2D,axiom,
% 224.83/225.04 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_predicate2D,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__rel__0,axiom,
% 224.83/225.04 ! [V_b] :
% 224.83/225.04 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_self__remainder,axiom,
% 224.83/225.04 ! [V_r,V_q,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_unique__quotient,axiom,
% 224.83/225.04 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => V_q = V_q_H ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_unique__remainder,axiom,
% 224.83/225.04 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => V_r = V_r_H ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_self__quotient,axiom,
% 224.83/225.04 ! [V_r,V_q,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__rel__mod,axiom,
% 224.83/225.04 ! [V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__rel__div,axiom,
% 224.83/225.04 ! [V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negDivAlg__correct,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__rel__div__mod,axiom,
% 224.83/225.04 ! [V_a,V_b] :
% 224.83/225.04 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg__correct,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_zadd1__lemma,axiom,
% 224.83/225.04 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_zminus1__lemma,axiom,
% 224.83/225.04 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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))))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__relI,axiom,
% 224.83/225.04 ! [V_r,V_q,V_b,V_a] :
% 224.83/225.04 ( 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)
% 224.83/225.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_zmult1__lemma,axiom,
% 224.83/225.04 ! [V_a,V_r,V_q,V_c,V_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_posDivAlg_Opinduct,axiom,
% 224.83/225.04 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ! [B_a,B_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 224.83/225.04 => 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))) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_nat__gcd_Opsimps,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 224.83/225.04 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I4_J,axiom,
% 224.83/225.04 ! [V_A_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( B_x != V_ta_2
% 224.83/225.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I4_J,axiom,
% 224.83/225.04 ! [V_B_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( B_x != V_ta_2
% 224.83/225.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_ta_2 ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I7_J,axiom,
% 224.83/225.04 ! [V_B_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_B_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 224.83/225.04 => 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))) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I3_J,axiom,
% 224.83/225.04 ! [V_B_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => ( ! [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xa] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 224.83/225.04 => V_ta_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 224.83/225.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I3_J,axiom,
% 224.83/225.04 ! [V_A_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => ( ! [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xa] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 224.83/225.04 => V_ta_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 224.83/225.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ta_2),V_D_2) = V_ta_2 ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I5_J,axiom,
% 224.83/225.04 ! [V_A_2,V_ta_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_ta_2),V_A_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 224.83/225.04 => 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)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_in__measure,axiom,
% 224.83/225.04 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( 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(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 224.83/225.04 <=> 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I6_J,axiom,
% 224.83/225.04 ! [V_ta_2,V_B_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_ta_2))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I8_J,axiom,
% 224.83/225.04 ! [V_ta_2,V_A_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ta_2),B_x))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_nat__gcd_Opinduct,axiom,
% 224.83/225.04 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ! [B_x,B_y] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 224.83/225.04 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mlex__leq,axiom,
% 224.83/225.04 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => 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_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mlex__less,axiom,
% 224.83/225.04 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_periodic__finite__ex,axiom,
% 224.83/225.04 ! [V_P_2,V_d_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 224.83/225.04 => ( ! [B_x,B_k] :
% 224.83/225.04 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.04 <=> 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)))) )
% 224.83/225.04 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.04 <=> ? [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_aset_I7_J,axiom,
% 224.83/225.04 ! [V_ta_2,V_A_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ta_2),B_x))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bset_I5_J,axiom,
% 224.83/225.04 ! [V_ta_2,V_B_2,V_D_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 224.83/225.04 => ! [B_x] :
% 224.83/225.04 ( ! [B_xa] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ! [B_xb] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 224.83/225.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_ta_2))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__def,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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)) )
% 224.83/225.04 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => 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))) ) ) ) ) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => 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))) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__pos__pos__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_in__lex__prod,axiom,
% 224.83/225.04 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 <=> ( 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_a_H_2)),V_r_2))
% 224.83/225.04 | ( V_a_2 = V_a_H_2
% 224.83/225.04 & 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__int__def,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__pos__neg,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_negateSnd__eq,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__neg__neg,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__rel__neg,axiom,
% 224.83/225.04 ! [V_qr,V_b,V_a] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__neg__pos,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__correct,axiom,
% 224.83/225.04 ! [V_a,V_b] :
% 224.83/225.04 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.04 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__pos__neg__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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))))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__pos__pos,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__int__mod__div,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_same__fstI,axiom,
% 224.83/225.04 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 224.83/225.04 ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__pos__neg__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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))))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__neg__neg,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_snd__eqD,axiom,
% 224.83/225.04 ! [V_a,V_y,V_x,T_a,T_b] :
% 224.83/225.04 ( 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
% 224.83/225.04 => V_y = V_a ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_snd__conv,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Pair__fst__snd__eq,axiom,
% 224.83/225.04 ! [T_c,T_b,V_ta_2,V_s_2] :
% 224.83/225.04 ( V_s_2 = V_ta_2
% 224.83/225.04 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_ta_2)
% 224.83/225.04 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_ta_2) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_prod__eqI,axiom,
% 224.83/225.04 ! [V_q,V_p,T_b,T_a] :
% 224.83/225.04 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 224.83/225.04 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 224.83/225.04 => V_p = V_q ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fst__eqD,axiom,
% 224.83/225.04 ! [V_a,V_y,V_x,T_b,T_a] :
% 224.83/225.04 ( 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
% 224.83/225.04 => V_x = V_a ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fst__conv,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_surjective__pairing,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__collapse,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__int__def,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mod__nat__def,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Pair__inject,axiom,
% 224.83/225.04 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 224.83/225.04 ( 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)
% 224.83/225.04 => ~ ( V_a = V_a_H
% 224.83/225.04 => V_b != V_b_H ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Pair__eq,axiom,
% 224.83/225.04 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.04 ( 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)
% 224.83/225.04 <=> ( V_a_2 = V_a_H_2
% 224.83/225.04 & V_b_2 = V_b_H_2 ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_split__paired__All,axiom,
% 224.83/225.04 ! [T_c,T_b,V_P_2] :
% 224.83/225.04 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.04 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__neg__pos,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__pos__pos,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__pos__pos__1__number__of,axiom,
% 224.83/225.04 ! [V_w] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__pos__neg,axiom,
% 224.83/225.04 ! [V_b,V_a] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.04 => 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)))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_prod__size__simp,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_conjI__realizer,axiom,
% 224.83/225.04 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 224.83/225.04 ( hBOOL(hAPP(V_P_2,V_p_2))
% 224.83/225.04 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 224.83/225.04 => ( 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))))
% 224.83/225.04 & 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)))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_exI__realizer,axiom,
% 224.83/225.04 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 224.83/225.04 => 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)))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_prod_Orecs,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_in__finite__psubset,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( 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_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 224.83/225.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_div__nat__def,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_divmod__nat__rel__def,axiom,
% 224.83/225.04 ! [V_qr_2,V_n_2,V_m_2] :
% 224.83/225.04 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 224.83/225.04 <=> ( 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))
% 224.83/225.04 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.04 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 & 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)) ) )
% 224.83/225.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 224.83/225.04 => ( 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)))
% 224.83/225.04 & 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))) ) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_range,axiom,
% 224.83/225.04 ! [V_s,V_k] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__lessI2,axiom,
% 224.83/225.04 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_ta_2))
% 224.83/225.04 => 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_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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atMost,axiom,
% 224.83/225.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atMost__eq__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 224.83/225.04 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeast0AtMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__atMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atMost__Suc,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atMost__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_i_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oord(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atMost__subset__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atMost__0,axiom,
% 224.83/225.04 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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__lessI1,axiom,
% 224.83/225.04 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.04 => 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_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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nitpick_Oone__frac__def,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__leqI2,axiom,
% 224.83/225.04 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_ta_2))
% 224.83/225.04 => 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_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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_smax__insertI,axiom,
% 224.83/225.04 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 224.83/225.04 => ( 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_FunDef_Opair__less))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_smax__emptyI,axiom,
% 224.83/225.04 ! [V_Y_2] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 224.83/225.04 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__leqI1,axiom,
% 224.83/225.04 ! [V_ta_2,V_s_2,V_b_2,V_a_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 224.83/225.04 => 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_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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_wmin__insertI,axiom,
% 224.83/225.04 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 224.83/225.04 => ( 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_FunDef_Opair__leq))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_wmax__insertI,axiom,
% 224.83/225.04 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 224.83/225.04 => ( 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_FunDef_Opair__leq))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_smin__insertI,axiom,
% 224.83/225.04 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 224.83/225.04 => ( 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_FunDef_Opair__less))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_smin__emptyI,axiom,
% 224.83/225.04 ! [V_X_2] :
% 224.83/225.04 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_less__by__empty,axiom,
% 224.83/225.04 ! [V_B_2,T_b,V_A_2] :
% 224.83/225.04 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_wmax__emptyI,axiom,
% 224.83/225.04 ! [V_X_2] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_wmin__emptyI,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_min__rpair__set,axiom,
% 224.83/225.04 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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_max__rpair__set,axiom,
% 224.83/225.04 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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_min__strict__def,axiom,
% 224.83/225.04 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_less__than__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2] :
% 224.83/225.04 ( 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))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_pair__less__def,axiom,
% 224.83/225.04 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_min__weak__def,axiom,
% 224.83/225.04 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)))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_intrel__iff,axiom,
% 224.83/225.04 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 224.83/225.04 ( 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))
% 224.83/225.04 <=> 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_rp__inv__image__rp,axiom,
% 224.83/225.04 ! [V_f_2,T_c,V_P_2,T_b] :
% 224.83/225.04 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 224.83/225.04 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_measure__def,axiom,
% 224.83/225.04 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup1E,axiom,
% 224.83/225.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 224.83/225.04 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup1CI,axiom,
% 224.83/225.04 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 224.83/225.04 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 224.83/225.04 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_UnE,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_UnCI,axiom,
% 224.83/225.04 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 224.83/225.04 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 224.83/225.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__eq__bot__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Lattices_Obounded__lattice__bot(T_b)
% 224.83/225.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 224.83/225.04 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 224.83/225.04 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__bot__right,axiom,
% 224.83/225.04 ! [V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__bot__left,axiom,
% 224.83/225.04 ! [V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Obounded__lattice__bot(T_a)
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__empty,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__empty__right,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__empty__left,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__supE,axiom,
% 224.83/225.04 ! [V_x,V_b,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( 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))
% 224.83/225.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.83/225.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__mono,axiom,
% 224.83/225.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__least,axiom,
% 224.83/225.04 ! [V_z,V_x,V_y,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__supI,axiom,
% 224.83/225.04 ! [V_b,V_x,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__absorb1,axiom,
% 224.83/225.04 ! [V_x,V_y,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__absorb2,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__supI2,axiom,
% 224.83/225.04 ! [V_a,V_b,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__supI1,axiom,
% 224.83/225.04 ! [V_b,V_a,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__sup__iff,axiom,
% 224.83/225.04 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 => ( 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))
% 224.83/225.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_le__iff__sup,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.83/225.04 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__ge2,axiom,
% 224.83/225.04 ! [V_x,V_y,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__ord_I4_J,axiom,
% 224.83/225.04 ! [V_x,V_y,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__ge1,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__ord_I3_J,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__upper1,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__upper2,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_subset__Un__eq,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.04 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__absorb1,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__absorb2,axiom,
% 224.83/225.04 ! [V_A_2,V_B_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__least,axiom,
% 224.83/225.04 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__mono,axiom,
% 224.83/225.04 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__Pow__subset,axiom,
% 224.83/225.04 ! [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)))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__iff,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.04 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_UnI1,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_UnI2,axiom,
% 224.83/225.04 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__insert__left,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__insert__right,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__Un,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_less__supI2,axiom,
% 224.83/225.04 ! [V_a,V_b,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_less__supI1,axiom,
% 224.83/225.04 ! [V_b,V_a,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__Diff,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__Diff__cancel2,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__Diff__cancel,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oidem,axiom,
% 224.83/225.04 ! [V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup1I1,axiom,
% 224.83/225.04 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 224.83/225.04 ( hBOOL(hAPP(V_A_2,V_x_2))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup1I2,axiom,
% 224.83/225.04 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 224.83/225.04 ( hBOOL(hAPP(V_B_2,V_x_2))
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__absorb,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__commute,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__left__absorb,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__left__commute,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__assoc,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_bex__Un,axiom,
% 224.83/225.04 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( ? [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.04 <=> ( ? [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.04 | ? [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ball__Un,axiom,
% 224.83/225.04 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( ! [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.04 <=> ( ! [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.04 & ! [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup_Oidem,axiom,
% 224.83/225.04 ! [V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__idem,axiom,
% 224.83/225.04 ! [V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup_Ocommute,axiom,
% 224.83/225.04 ! [V_b,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__aci_I5_J,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__commute,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup_Oleft__idem,axiom,
% 224.83/225.04 ! [V_b,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__aci_I8_J,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__left__idem,axiom,
% 224.83/225.04 ! [V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup_Oleft__commute,axiom,
% 224.83/225.04 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__aci_I7_J,axiom,
% 224.83/225.04 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__left__commute,axiom,
% 224.83/225.04 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup_Oassoc,axiom,
% 224.83/225.04 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_inf__sup__aci_I6_J,axiom,
% 224.83/225.04 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Olattice(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__assoc,axiom,
% 224.83/225.04 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_a)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__apply,axiom,
% 224.83/225.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__max,axiom,
% 224.83/225.04 ! [T_b] :
% 224.83/225.04 ( ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 & class_Orderings_Olinorder(T_b) )
% 224.83/225.04 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__Un,axiom,
% 224.83/225.04 ! [V_Ga_2,V_F_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 224.83/225.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__UnI,axiom,
% 224.83/225.04 ! [V_Ga_2,V_F_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 224.83/225.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fun__left__comm__idem__sup,axiom,
% 224.83/225.04 ! [T_b] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_insert__is__Un,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_union__fold__insert,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Diff__subset__conv,axiom,
% 224.83/225.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 <=> 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Diff__partition,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.04 => 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 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Compl__Diff__eq,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.04 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fold__sup__insert,axiom,
% 224.83/225.04 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.83/225.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__le__fold__sup,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.04 => 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))) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_fold1__Un2,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Min__Un,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Max__Un,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_max__weak__def,axiom,
% 224.83/225.04 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)))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_in__inv__image,axiom,
% 224.83/225.04 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 <=> 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I19_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I4_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__greaterThanAtMost,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__greaterThanAtMost__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2] :
% 224.83/225.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_sup__nat__def,axiom,
% 224.83/225.04 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2] :
% 224.83/225.04 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_greaterThanAtMost__empty,axiom,
% 224.83/225.04 ! [V_k_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 224.83/225.04 ! [V_l_2,V_k_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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))
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 224.83/225.04 ! [V_l_2,V_k_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I20_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__greaterThanAtMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Pow__insert,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I22_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I9_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__greaterThanAtMost__int,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_max__strict__def,axiom,
% 224.83/225.04 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I16_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_max__ext__additive,axiom,
% 224.83/225.04 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( 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_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 224.83/225.04 => ( 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_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 224.83/225.04 => 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)),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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I5_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_irrefl__def,axiom,
% 224.83/225.04 ! [V_r_2,T_b] :
% 224.83/225.04 ( c_Relation_Oirrefl(T_b,V_r_2)
% 224.83/225.04 <=> ! [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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Field__insert,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oremove,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.04 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 224.83/225.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.04 => 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)))))) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I7_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__lessThan,axiom,
% 224.83/225.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__eq__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 224.83/225.04 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__lessThan,axiom,
% 224.83/225.04 ! [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 ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Osingleton,axiom,
% 224.83/225.04 ! [V_x_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => 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 ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__0,axiom,
% 224.83/225.04 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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__Suc__atMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__Suc,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__iff,axiom,
% 224.83/225.04 ! [V_k_2,V_i_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oord(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__subset__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__strict__subset__iff,axiom,
% 224.83/225.04 ! [V_n_2,V_m_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Field__empty,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_mono__Field,axiom,
% 224.83/225.04 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Field__Un,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oin__idem,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__Field,axiom,
% 224.83/225.04 ! [V_r_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 224.83/225.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_OF__eq,axiom,
% 224.83/225.04 ! [V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_single__Diff__lessThan,axiom,
% 224.83/225.04 ! [V_k_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Osubset__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.04 => 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) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Ounion__idem,axiom,
% 224.83/225.04 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.04 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 224.83/225.04 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oinsert,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.04 => 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 )
% 224.83/225.04 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.04 => 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)))))) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 224.83/225.04 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I2_J,axiom,
% 224.83/225.04 ! [V_u_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => 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) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I10_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Oclosed,axiom,
% 224.83/225.04 ! [V_A_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => ( ! [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))))))
% 224.83/225.04 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Sup__fin_Ohom__commute,axiom,
% 224.83/225.04 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.04 ( class_Lattices_Olattice(T_b)
% 224.83/225.04 => ( ! [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))
% 224.83/225.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.04 => 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)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I18_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_equiv__intrel__iff,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2] :
% 224.83/225.04 ( 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))))
% 224.83/225.04 <=> 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atLeastLessThan,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atLeastLessThan__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Image__Un,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeast0LessThan,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( 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)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 224.83/225.04 => V_b_2 = V_d_2 ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( 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)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 224.83/225.04 => V_a_2 = V_c_2 ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__eq__iff,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 224.83/225.04 => ( 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)
% 224.83/225.04 <=> ( V_a_2 = V_c_2
% 224.83/225.04 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Image__empty,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ex__nat__less__eq,axiom,
% 224.83/225.04 ! [V_P_2,V_n_2] :
% 224.83/225.04 ( ? [B_m] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_m)) )
% 224.83/225.04 <=> ? [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_all__nat__less__eq,axiom,
% 224.83/225.04 ! [V_P_2,V_n_2] :
% 224.83/225.04 ( ! [B_m] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_m)) )
% 224.83/225.04 <=> ! [B_x] :
% 224.83/225.04 ( 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)))
% 224.83/225.04 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan0,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_card__atLeastLessThan,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Image__mono,axiom,
% 224.83/225.04 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 224.83/225.04 ( 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))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 224.83/225.04 => 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))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Un__Image,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__Suc__atLeastLessThan,axiom,
% 224.83/225.04 ! [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)) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__empty,axiom,
% 224.83/225.04 ! [V_a_2,V_b_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 224.83/225.04 => 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__empty__iff,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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))
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 224.83/225.04 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Oorder(T_b)
% 224.83/225.04 => ( 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)
% 224.83/225.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__subset__iff,axiom,
% 224.83/225.04 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( 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)))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 224.83/225.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 224.83/225.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I17_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__diff,axiom,
% 224.83/225.04 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__add__nat__ivl,axiom,
% 224.83/225.04 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 224.83/225.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__diff__nat__ivl,axiom,
% 224.83/225.04 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 224.83/225.04 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 224.83/225.04 => 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)) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_rev__ImageI,axiom,
% 224.83/225.04 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.04 => ( 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))
% 224.83/225.04 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_Image__iff,axiom,
% 224.83/225.04 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 224.83/225.04 <=> ? [B_x] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.04 & 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)) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__singleton,axiom,
% 224.83/225.04 ! [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))) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 224.83/225.04 ! [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) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I21_J,axiom,
% 224.83/225.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.04 => 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) ) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_atLeastLessThan__add__Un,axiom,
% 224.83/225.04 ! [V_k_2,V_j_2,V_i_2] :
% 224.83/225.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_ivl__disj__un_I8_J,axiom,
% 224.83/225.04 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.04 ( class_Orderings_Olinorder(T_b)
% 224.83/225.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.04 => 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) ) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_subset__card__intvl__is__intvl,axiom,
% 224.83/225.04 ! [V_k_2,V_A_2] :
% 224.83/225.04 ( 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)))))
% 224.83/225.04 => 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))) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__uminus__atLeastLessThan,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 224.83/225.04 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.04 => 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)) ) ).
% 224.83/225.04
% 224.83/225.04 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 224.83/225.04 ! [V_k_2,V_f_2,T_b] :
% 224.83/225.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.04 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__head__upt__Suc,axiom,
% 224.83/225.05 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__atLeastLessThan__int,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeastLessThanSuc,axiom,
% 224.83/225.05 ! [V_n_2,V_m_2] :
% 224.83/225.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.05 => 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)) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__op__ivl__Suc,axiom,
% 224.83/225.05 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/225.05 => 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) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I15_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 224.83/225.05 => 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) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Image__singleton__iff,axiom,
% 224.83/225.05 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 224.83/225.05 ( 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))))))
% 224.83/225.05 <=> 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 224.83/225.05 ! [V_u_2] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I6_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I3_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_of__int,axiom,
% 224.83/225.05 ! [V_j_2,V_i_2,T_b] :
% 224.83/225.05 ( class_Rings_Oring__1(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_One__int__def,axiom,
% 224.83/225.05 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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_mult,axiom,
% 224.83/225.05 ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le,axiom,
% 224.83/225.05 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 224.83/225.05 ( 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)))))))
% 224.83/225.05 <=> 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_minus,axiom,
% 224.83/225.05 ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Zero__int__def,axiom,
% 224.83/225.05 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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_int__def,axiom,
% 224.83/225.05 ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_add,axiom,
% 224.83/225.05 ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_nat,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_less,axiom,
% 224.83/225.05 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 224.83/225.05 ( 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)))))))
% 224.83/225.05 <=> 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_eq__Abs__Integ,axiom,
% 224.83/225.05 ! [V_z_2] :
% 224.83/225.05 ~ ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ImageE,axiom,
% 224.83/225.05 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 224.83/225.05 => ~ ! [B_x] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__Un__disjoint,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_subset__equiv__class,axiom,
% 224.83/225.05 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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),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))))))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf1E,axiom,
% 224.83/225.05 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 224.83/225.05 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf1I,axiom,
% 224.83/225.05 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 224.83/225.05 ( hBOOL(hAPP(V_A_2,V_x_2))
% 224.83/225.05 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_IntI,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_IntE,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__Int,axiom,
% 224.83/225.05 ! [V_Ga_2,V_F_2,T_b] :
% 224.83/225.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.05 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_insert__inter__insert,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__bot__right,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__bot__left,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__bot(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_disjoint__iff__not__equal,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.05 => ! [B_xa] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 224.83/225.05 => B_x != B_xa ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__empty__right,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__empty__left,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2] :
% 224.83/225.05 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.05 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__min,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 & class_Orderings_Olinorder(T_b) )
% 224.83/225.05 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__apply,axiom,
% 224.83/225.05 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__assoc,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__aci_I2_J,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf_Oassoc,axiom,
% 224.83/225.05 ! [V_c,V_b,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__left__commute,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__aci_I3_J,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf_Oleft__commute,axiom,
% 224.83/225.05 ! [V_c,V_a,V_b,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__left__idem,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__aci_I4_J,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf_Oleft__idem,axiom,
% 224.83/225.05 ! [V_b,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__commute,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__aci_I1_J,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf_Ocommute,axiom,
% 224.83/225.05 ! [V_b,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__idem,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf_Oidem,axiom,
% 224.83/225.05 ! [V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__assoc,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__left__commute,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__left__absorb,axiom,
% 224.83/225.05 ! [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),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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__commute,axiom,
% 224.83/225.05 ! [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(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__absorb,axiom,
% 224.83/225.05 ! [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 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf1D2,axiom,
% 224.83/225.05 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf1D1,axiom,
% 224.83/225.05 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oidem,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Pow__Int__eq,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Int__distrib,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__Diff,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Int__distrib2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Int2,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_less__infI1,axiom,
% 224.83/225.05 ! [V_b,V_x,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_less__infI2,axiom,
% 224.83/225.05 ! [V_a,V_x,V_b,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_IntD2,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_IntD1,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__iff,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__mono,axiom,
% 224.83/225.05 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 224.83/225.05 => 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),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__greatest,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__absorb1,axiom,
% 224.83/225.05 ! [V_A_2,V_B_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__absorb2,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__lower2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__lower1,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__ord_I1_J,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__le1,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__ord_I2_J,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__le2,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__iff__inf,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.83/225.05 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__inf__iff,axiom,
% 224.83/225.05 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__infI1,axiom,
% 224.83/225.05 ! [V_b,V_x,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__infI2,axiom,
% 224.83/225.05 ! [V_a,V_x,V_b,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__absorb1,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__absorb2,axiom,
% 224.83/225.05 ! [V_x,V_y,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__infI,axiom,
% 224.83/225.05 ! [V_b,V_a,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__greatest,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__mono,axiom,
% 224.83/225.05 ! [V_d,V_b,V_c,V_a,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__infE,axiom,
% 224.83/225.05 ! [V_b,V_a,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_a)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 224.83/225.05 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__left__comm__idem__inf,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__inf__distrib2,axiom,
% 224.83/225.05 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.05 ( class_Lattices_Odistrib__lattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__distrib2,axiom,
% 224.83/225.05 ! [V_x,V_z,V_y,T_a] :
% 224.83/225.05 ( class_Lattices_Odistrib__lattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__inf__distrib1,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Odistrib__lattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__distrib1,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Odistrib__lattice(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__inf__absorb,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__sup__absorb,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__Int__crazy,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__Int__distrib2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__Un__distrib2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__Int__distrib,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__Un__distrib,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_distrib__sup__le,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_distrib__inf__le,axiom,
% 224.83/225.05 ! [V_z,V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Olattice(T_a)
% 224.83/225.05 => 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)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__compl__bot,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__inf__bot,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_diff__eq,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__inf,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__sup,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__right,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 224.83/225.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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)) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__left,axiom,
% 224.83/225.05 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 224.83/225.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 224.83/225.05 => 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)) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__right__if0,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 224.83/225.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__left__if0,axiom,
% 224.83/225.05 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 224.83/225.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__right__if1,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__insert__left__if1,axiom,
% 224.83/225.05 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__Int__subset,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__disjoint,axiom,
% 224.83/225.05 ! [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),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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__triv,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__Int__assoc__eq,axiom,
% 224.83/225.05 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Int,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Un,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__Diff__Int,axiom,
% 224.83/225.05 ! [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 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I11_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 224.83/225.05 ! [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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__disjoint,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__disjoint2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Image__Int__subset,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__Int,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__Un,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__eq,axiom,
% 224.83/225.05 ! [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(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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__Compl,axiom,
% 224.83/225.05 ! [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),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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I14_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__class__nondisjoint,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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)),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)))))))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2] :
% 224.83/225.05 ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.05 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__inf__insert,axiom,
% 224.83/225.05 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__Sup__absorb,axiom,
% 224.83/225.05 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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 ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_disjoint__eq__subset__Compl,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I15_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastAtMost,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastLessThan,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I4_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I2_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I16_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I12_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I13_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__class__self,axiom,
% 224.83/225.05 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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)))))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__greaterThanAtMost,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I9_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__greaterThanLessThan,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastAtMostL1,axiom,
% 224.83/225.05 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastAtMostR1,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I3_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I10_J,axiom,
% 224.83/225.05 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I1_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__inf__le__inf,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold1__belowI,axiom,
% 224.83/225.05 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_below__fold1__iff,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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)))
% 224.83/225.05 <=> ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__Un__Int,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__Un__Int,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod_Ounion__inter,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__Un__Int,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__Diff__subset__Int,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__class__eq,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_folding__one_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_folding__one_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__Un__disjoint,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__Un,axiom,
% 224.83/225.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Oab__group__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__Un__disjoint,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__class__eq__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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))
% 224.83/225.05 <=> ( 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))))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_eq__equiv__class__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.83/225.05 => ( 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))))
% 224.83/225.05 <=> 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_eq__equiv__class,axiom,
% 224.83/225.05 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__Un__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__class__subset,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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),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)))))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__image__Un__Int,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold1__Un,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__fin_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Min_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Min_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Max_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Max_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__Un__nat,axiom,
% 224.83/225.05 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card_Ounion__inter__neutral,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( ( ? [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)))
% 224.83/225.05 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__Un,axiom,
% 224.83/225.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Fields_Ofield(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.05 => 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))) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__image__Un__one,axiom,
% 224.83/225.05 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_eq__equiv__class__iff2,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.83/225.05 => ( 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)
% 224.83/225.05 <=> 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__nat__def,axiom,
% 224.83/225.05 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__is__empty,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__is__empty2,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( 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)
% 224.83/225.05 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__empty,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__disj,axiom,
% 224.83/225.05 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( V_X_2 = V_Y_2
% 224.83/225.05 | 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotientI,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__eq__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 224.83/225.05 => ( V_X_2 = V_Y_2
% 224.83/225.05 <=> 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotient__eqI,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_singleton__quotient,axiom,
% 224.83/225.05 ! [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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_quotientE,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ~ ! [B_x] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__Un__one,axiom,
% 224.83/225.05 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 224.83/225.05 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__Un__zero,axiom,
% 224.83/225.05 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oremove,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.05 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 224.83/225.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.05 => 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)))))) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atMost__Int__atLeast,axiom,
% 224.83/225.05 ! [V_n_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__eq__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 224.83/225.05 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Osingleton,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__iff,axiom,
% 224.83/225.05 ! [V_k_2,V_i_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oord(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__subset__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__lessThan,axiom,
% 224.83/225.05 ! [V_k_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__atLeast,axiom,
% 224.83/225.05 ! [V_k_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__Inf__absorb,axiom,
% 224.83/225.05 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => 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 ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oin__idem,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_OF__eq,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I14_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I8_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastAtMostR2,axiom,
% 224.83/225.05 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__atLeastAtMostL2,axiom,
% 224.83/225.05 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Osubset__idem,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.05 => 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) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Ounion__idem,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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)) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I6_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__uminus__atMost,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__uminus__atLeast,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__le__Sup,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__Suc,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 224.83/225.05 ! [V_a_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oinsert,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.05 => 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 )
% 224.83/225.05 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 224.83/225.05 => 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)))))) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Ounion__inter,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Oclosed,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( ! [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))))))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I12_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I13_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I1_J,axiom,
% 224.83/225.05 ! [V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_greaterThan__eq__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 224.83/225.05 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__Suc__greaterThan,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_greaterThan__iff,axiom,
% 224.83/225.05 ! [V_k_2,V_i_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oord(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_greaterThan__subset__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__atMost,axiom,
% 224.83/225.05 ! [V_k_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__greaterThan,axiom,
% 224.83/225.05 ! [V_k_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I7_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__un_I11_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__uminus__greaterThan,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__uminus__lessThan,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_ivl__disj__int_I5_J,axiom,
% 224.83/225.05 ! [V_u_2,V_l_2,T_b] :
% 224.83/225.05 ( class_Orderings_Oorder(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_greaterThan__Suc,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin_Ohom__commute,axiom,
% 224.83/225.05 ! [V_N_2,V_h_2,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => ( ! [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))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.05 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__unique,axiom,
% 224.83/225.05 ! [V_y,V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 224.83/225.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 224.83/225.05 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_congruentD,axiom,
% 224.83/225.05 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 224.83/225.05 => ( 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))
% 224.83/225.05 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__fold__sup,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_UNIV__I,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__UNIV__right,axiom,
% 224.83/225.05 ! [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 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__UNIV__left,axiom,
% 224.83/225.05 ! [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 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_equiv__intrel,axiom,
% 224.83/225.05 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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__UNIV__left,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__UNIV__right,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__UNIV,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Finite__Set_Ofinite(T_b)
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__fun__UNIVD2,axiom,
% 224.83/225.05 ! [T_c,T_b] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__Prod__UNIV,axiom,
% 224.83/225.05 ! [T_c,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 224.83/225.05 => 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)))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__option__UNIV,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__Plus__UNIV__iff,axiom,
% 224.83/225.05 ! [T_c,T_b] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_subset__UNIV,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__UNIV__unit,axiom,
% 224.83/225.05 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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Pow__UNIV,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_UNIV__Plus__UNIV,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_top__apply,axiom,
% 224.83/225.05 ! [V_x_2,T_c,T_b] :
% 224.83/225.05 ( class_Orderings_Otop(T_b)
% 224.83/225.05 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_UNIV__not__empty,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Field__Union,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_infinite__UNIV__nat,axiom,
% 224.83/225.05 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_infinite__UNIV__int,axiom,
% 224.83/225.05 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_top__greatest,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Orderings_Otop(T_a)
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__top__left,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__top__right,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__top__left,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__top__right,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__top(T_a)
% 224.83/225.05 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__eq__top__iff,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Lattices_Obounded__lattice__top(T_b)
% 224.83/225.05 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 224.83/225.05 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 224.83/225.05 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_rangeI,axiom,
% 224.83/225.05 ! [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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_range__eqI,axiom,
% 224.83/225.05 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 224.83/225.05 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 224.83/225.05 => 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))))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Diff__UNIV,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.05 => ( 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)))
% 224.83/225.05 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__UNIV__eq,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__empty__eq,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__compl,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 224.83/225.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__partition2,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__partition,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__quotient,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__UnionD,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_atLeast__0,axiom,
% 224.83/225.05 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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__top__eq,axiom,
% 224.83/225.05 ! [T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__bot__eq,axiom,
% 224.83/225.05 ! [T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_compl__sup__top,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__compl__top,axiom,
% 224.83/225.05 ! [V_x,T_a] :
% 224.83/225.05 ( class_Lattices_Oboolean__algebra(T_a)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_surj__Compl__image__subset,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => 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)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_greaterThan__0,axiom,
% 224.83/225.05 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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__UNIV__card__ge__0,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.05 => 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))))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__UNIV__bool,axiom,
% 224.83/225.05 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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__Sup__fold__sup,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__fin__Sup,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__fun__UNIVD1,axiom,
% 224.83/225.05 ! [T_c,T_b] :
% 224.83/225.05 ( 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))))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_UnionI,axiom,
% 224.83/225.05 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__binary,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__Int__subset,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_top1I,axiom,
% 224.83/225.05 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__UNIV,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__Pow__eq,axiom,
% 224.83/225.05 ! [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 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__disjoint,axiom,
% 224.83/225.05 ! [V_A_2,V_C_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__upper,axiom,
% 224.83/225.05 ! [V_A_2,V_B_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__le__iff,axiom,
% 224.83/225.05 ! [V_b_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( 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))
% 224.83/225.05 <=> ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_less__Sup__iff,axiom,
% 224.83/225.05 ! [V_S_2,V_a_2,T_b] :
% 224.83/225.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 & class_Orderings_Olinorder(T_b) )
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 224.83/225.05 <=> ? [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__UNIV,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__empty,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__mono,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__insert,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_subset__Pow__Union,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Union__Un__distrib,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__upper,axiom,
% 224.83/225.05 ! [V_A_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__empty,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__singleton,axiom,
% 224.83/225.05 ! [V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Sup__insert,axiom,
% 224.83/225.05 ! [V_A_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Un__eq__Union,axiom,
% 224.83/225.05 ! [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) = 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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_congruent2__implies__congruent,axiom,
% 224.83/225.05 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 224.83/225.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 224.83/225.05 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.05 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Integ__def,axiom,
% 224.83/225.05 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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__Union,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 224.83/225.05 => ( ! [B_M] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_iso__tuple__UNIV__I,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_congruent2D,axiom,
% 224.83/225.05 ! [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] :
% 224.83/225.05 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 224.83/225.05 => ( 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))
% 224.83/225.05 => ( 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))
% 224.83/225.05 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_insert__partition,axiom,
% 224.83/225.05 ! [V_F_2,V_x_2,T_b] :
% 224.83/225.05 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ! [B_xa] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ( B_x != B_xa
% 224.83/225.05 => 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)) ) ) )
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__partition,axiom,
% 224.83/225.05 ! [V_k_2,V_C_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 224.83/225.05 => ( ! [B_c] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 224.83/225.05 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 224.83/225.05 => ( ! [B_c1] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 224.83/225.05 => ! [B_c2] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 224.83/225.05 => ( B_c1 != B_c2
% 224.83/225.05 => 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)) ) ) )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fold__inf,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_max__ext_Ointros,axiom,
% 224.83/225.05 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 224.83/225.05 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 224.83/225.05 => ? [B_xa] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 224.83/225.05 & 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)) ) )
% 224.83/225.05 => 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_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__Inter,axiom,
% 224.83/225.05 ! [V_M_2,T_b] :
% 224.83/225.05 ( ? [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 224.83/225.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 224.83/225.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_InterE,axiom,
% 224.83/225.05 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_InterD,axiom,
% 224.83/225.05 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_le__Inf__iff,axiom,
% 224.83/225.05 ! [V_A_2,V_b_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( 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)))
% 224.83/225.05 <=> ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__less__iff,axiom,
% 224.83/225.05 ! [V_a_2,V_S_2,T_b] :
% 224.83/225.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 & class_Orderings_Olinorder(T_b) )
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 224.83/225.05 <=> ? [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__lower,axiom,
% 224.83/225.05 ! [V_A_2,V_B_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__anti__mono,axiom,
% 224.83/225.05 ! [V_A_2,V_B_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__empty,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__insert,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__UNIV,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__lower,axiom,
% 224.83/225.05 ! [V_A_2,V_x_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__Un__distrib,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__singleton,axiom,
% 224.83/225.05 ! [V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__empty,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__UNIV,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__insert,axiom,
% 224.83/225.05 ! [V_A_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Int__eq__Inter,axiom,
% 224.83/225.05 ! [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) = 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))))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inter__Un__subset,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__binary,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__Inf__fold__inf,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_Inf__fin__Inf,axiom,
% 224.83/225.05 ! [V_A_2,T_b] :
% 224.83/225.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_adjust__eq,axiom,
% 224.83/225.05 ! [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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 224.83/225.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 => hAPP(V_g_2,B_x) = V_z_2 )
% 224.83/225.05 => 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_max__ext_Osimps,axiom,
% 224.83/225.05 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 224.83/225.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 224.83/225.05 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 & ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 224.83/225.05 => ? [B_xa] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 224.83/225.05 & 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)) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__le__fold__inf,axiom,
% 224.83/225.05 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 224.83/225.05 ( class_Lattices_Osemilattice__inf(T_b)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => ( ! [B_x] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 224.83/225.05 => 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))) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__abs,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__abs__ge__zero,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_finite__range__imageI,axiom,
% 224.83/225.05 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 224.83/225.05 ( 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)))))
% 224.83/225.05 => 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))))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_range__composition,axiom,
% 224.83/225.05 ! [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)))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_card__eq__setsum,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_b] :
% 224.83/225.05 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__constant__conv,axiom,
% 224.83/225.05 ! [V_c_2,T_c,T_b,V_A_2] :
% 224.83/225.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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)) )
% 224.83/225.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.05 => 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))) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__ident,axiom,
% 224.83/225.05 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__image,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum_Odistrib,axiom,
% 224.83/225.05 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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_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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod_Odistrib,axiom,
% 224.83/225.05 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__dividef,axiom,
% 224.83/225.05 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Fields_Ofield__inverse__zero(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_of__nat__setprod,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/225.05 & class_Rings_Osemiring__1(T_b) )
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__add__atLeastLessThan,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__diff__def,axiom,
% 224.83/225.05 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ominus(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__subtractf,axiom,
% 224.83/225.05 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__fun__def,axiom,
% 224.83/225.05 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__Int__eq,axiom,
% 224.83/225.05 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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_R_2),V_S_2))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_inf__Int__eq2,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__Un__eq,axiom,
% 224.83/225.05 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__fun__def,axiom,
% 224.83/225.05 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Lattices_Olattice(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_sup__Un__eq2,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__image__def,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_less__eq__Suc__le__raw,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_bot__empty__eq2,axiom,
% 224.83/225.05 ! [V_y_2,V_x_2,T_c,T_b] :
% 224.83/225.05 ( 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))
% 224.83/225.05 <=> 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)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_nat__number__of__Bit0,axiom,
% 224.83/225.05 ! [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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_pred__equals__eq2,axiom,
% 224.83/225.05 ! [V_S_2,V_R_2,T_c,T_b] :
% 224.83/225.05 ( 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)
% 224.83/225.05 <=> V_R_2 = V_S_2 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_pred__subset__eq,axiom,
% 224.83/225.05 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_pred__equals__eq,axiom,
% 224.83/225.05 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.05 ( 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)
% 224.83/225.05 <=> V_R_2 = V_S_2 ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__0,axiom,
% 224.83/225.05 ! [V_A_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__product,axiom,
% 224.83/225.05 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Rings_Osemiring__0(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__left__distrib,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Rings_Osemiring__0(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__right__distrib,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 224.83/225.05 ( class_Rings_Osemiring__0(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__divide__distrib,axiom,
% 224.83/225.05 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Fields_Ofield(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_abs__setsum__abs,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__commute,axiom,
% 224.83/225.05 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_int__setsum,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__negf,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_of__int__setsum,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Rings_Oring__1(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__addf,axiom,
% 224.83/225.05 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_of__int__setprod,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/225.05 & class_Rings_Oring__1(T_b) )
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_abs__setprod,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Fields_Olinordered__field(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__Compl__def,axiom,
% 224.83/225.05 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ouminus(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 224.83/225.05 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 224.83/225.05 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__1,axiom,
% 224.83/225.05 ! [V_A_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__timesf,axiom,
% 224.83/225.05 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_int__setprod,axiom,
% 224.83/225.05 ! [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) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fun__upd__def,axiom,
% 224.83/225.05 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 224.83/225.05 ( ( V_x_2 = V_a_2
% 224.83/225.05 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 224.83/225.05 & ( V_x_2 != V_a_2
% 224.83/225.05 => 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) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_bot__fun__def,axiom,
% 224.83/225.05 ! [V_x_2,T_c,T_b] :
% 224.83/225.05 ( class_Orderings_Obot(T_b)
% 224.83/225.05 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_bot__empty__eq,axiom,
% 224.83/225.05 ! [V_x_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 224.83/225.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 224.83/225.05 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 224.83/225.05 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 224.83/225.05 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 224.83/225.05 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_of__nat__setsum,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.05 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__add__atLeastAtMost,axiom,
% 224.83/225.05 ! [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)) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__delta_H,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__delta,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_image__constant,axiom,
% 224.83/225.05 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 224.83/225.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__delta_H,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__delta,axiom,
% 224.83/225.05 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.05 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) )
% 224.83/225.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.05 => 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) ) ) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__constant,axiom,
% 224.83/225.05 ! [V_A_2,V_y_2,T_c,T_b] :
% 224.83/225.05 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_power__number__of__even,axiom,
% 224.83/225.05 ! [V_w_2,V_z_2,T_b] :
% 224.83/225.05 ( class_Int_Onumber__ring(T_b)
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_fold__image__distrib,axiom,
% 224.83/225.05 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_dual__max,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_dual__min,axiom,
% 224.83/225.05 ! [T_b] :
% 224.83/225.05 ( class_Orderings_Olinorder(T_b)
% 224.83/225.05 => 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) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setprod__constant,axiom,
% 224.83/225.05 ! [V_y_2,V_A_2,T_b,T_c] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.05 => 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)) ) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_zpower__number__of__even,axiom,
% 224.83/225.05 ! [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))) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__lessThan__Suc,axiom,
% 224.83/225.05 ! [V_n_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_setsum__atMost__Suc,axiom,
% 224.83/225.05 ! [V_n_2,V_f_2,T_b] :
% 224.83/225.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.05 => 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))) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_pred__subset__eq2,axiom,
% 224.83/225.05 ! [V_S_2,V_R_2,T_c,T_b] :
% 224.83/225.05 ( 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)))
% 224.83/225.05 <=> 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)) ) ).
% 224.83/225.05
% 224.83/225.05 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 224.83/225.05 ! [V_A_2,V_f_2,T_b] :
% 224.83/225.05 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__add__int__atLeastLessThan,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.06 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Powp__Pow__eq,axiom,
% 224.83/225.06 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__restrict__set,axiom,
% 224.83/225.06 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__eq__fold__image,axiom,
% 224.83/225.06 ! [V_f_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_power__number__of__even__number__of,axiom,
% 224.83/225.06 ! [V_w_2,V_v_2,T_b] :
% 224.83/225.06 ( class_Int_Onumber__ring(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card_Oeq__fold__g,axiom,
% 224.83/225.06 ! [V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__def,axiom,
% 224.83/225.06 ! [V_A_2,T_b] :
% 224.83/225.06 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fun__left__comm__idem__remove,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_diff__nat__eq__if,axiom,
% 224.83/225.06 ! [V_z_2,V_z_H_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.06 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_LoopF,axiom,
% 224.83/225.06 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2)),c_Com_Ocom_OWhile(V_b_2,V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__head,axiom,
% 224.83/225.06 ! [V_P_2,V_n_2,V_m_2,T_b] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_mlex__prod__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_minus__fold__remove,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Suc__eq__number__of,axiom,
% 224.83/225.06 ! [V_v_2,V_n_2] :
% 224.83/225.06 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 224.83/225.06 <=> 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_eq__number__of__Suc,axiom,
% 224.83/225.06 ! [V_n_2,V_v_2] :
% 224.83/225.06 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 224.83/225.06 <=> 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__number__of__Bit1,axiom,
% 224.83/225.06 ! [V_w_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 224.83/225.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 224.83/225.06 => 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)))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_geometric__sum,axiom,
% 224.83/225.06 ! [V_n_2,V_x_2,T_b] :
% 224.83/225.06 ( class_Fields_Ofield(T_b)
% 224.83/225.06 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_gauss__sum,axiom,
% 224.83/225.06 ! [V_n_2,T_b] :
% 224.83/225.06 ( class_Rings_Ocomm__semiring__1(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__natinterval__difff,axiom,
% 224.83/225.06 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 224.83/225.06 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.06 => 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)))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.06 => 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) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_less__number__of__Suc,axiom,
% 224.83/225.06 ! [V_n_2,V_v_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_less__Suc__number__of,axiom,
% 224.83/225.06 ! [V_v_2,V_n_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_le__number__of__Suc,axiom,
% 224.83/225.06 ! [V_n_2,V_v_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_le__Suc__number__of,axiom,
% 224.83/225.06 ! [V_v_2,V_n_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__Suc__number__of,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__number__of__Suc,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_power__number__of__odd,axiom,
% 224.83/225.06 ! [V_z_2,V_w_2,T_b] :
% 224.83/225.06 ( class_Int_Onumber__ring(T_b)
% 224.83/225.06 => ( ( 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)))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ 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)))
% 224.83/225.06 => 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) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setprod__gen__delta,axiom,
% 224.83/225.06 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.06 => 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)))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 224.83/225.06 => 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)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 224.83/225.06 ! [V_x_2,V_y_2,V_c_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 224.83/225.06 => 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)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_zpower__number__of__odd,axiom,
% 224.83/225.06 ! [V_z_2,V_w_2] :
% 224.83/225.06 ( ( 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)))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ 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)))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_arith__series__general,axiom,
% 224.83/225.06 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 224.83/225.06 ( class_Rings_Ocomm__semiring__1(T_b)
% 224.83/225.06 => 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_min__number__of__Suc,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_min__Suc__number__of,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_arith__series__nat,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_power__number__of__odd__number__of,axiom,
% 224.83/225.06 ! [V_v_2,V_w_2,T_b] :
% 224.83/225.06 ( class_Int_Onumber__ring(T_b)
% 224.83/225.06 => ( ( 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)))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ 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)))
% 224.83/225.06 => 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) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_diff__nat__number__of,axiom,
% 224.83/225.06 ! [V_v_2,V_v_H_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_arith__series__int,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_norm__frac_Osimps,axiom,
% 224.83/225.06 ! [V_a_2,V_b_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.06 => 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))) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_of__int__num,axiom,
% 224.83/225.06 ! [V_k_2,T_b] :
% 224.83/225.06 ( class_Rings_Oring__1(T_b)
% 224.83/225.06 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 224.83/225.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => 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))))) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__extp__max__ext__eq,axiom,
% 224.83/225.06 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 224.83/225.06 ( 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)
% 224.83/225.06 <=> 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__case__add__eq__if,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sup2CI,axiom,
% 224.83/225.06 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 224.83/225.06 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sup2E,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inf2I,axiom,
% 224.83/225.06 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inf2E,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 224.83/225.06 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_bot2E,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_pair__imageI,axiom,
% 224.83/225.06 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__twice,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__weak__cong,axiom,
% 224.83/225.06 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 224.83/225.06 ( V_p_2 = V_q_2
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__conv,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_prod_Osimps_I2_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sup2I2,axiom,
% 224.83/225.06 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sup2I1,axiom,
% 224.83/225.06 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inf2D1,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inf2D2,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__eta,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fst__def,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_snd__def,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__case__0,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__case__Suc,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_prod__case__beta,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__comp__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__beta,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__Suc2,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__Suc1,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 224.83/225.06 ! [V_n_2,V_m_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 224.83/225.06 <=> 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_diff__Suc,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_min__Suc1,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_min__Suc2,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_divmod__int__rel__def,axiom,
% 224.83/225.06 ! [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))))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__case__number__of,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_adjust__def,axiom,
% 224.83/225.06 ! [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))))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_norm__frac_Opsimps,axiom,
% 224.83/225.06 ! [V_b_2,V_a_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 224.83/225.06 => 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))) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Nitpick_OFrac__def,axiom,
% 224.83/225.06 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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_divmod__int__pdivmod,axiom,
% 224.83/225.06 ! [V_l_2,V_k_2] :
% 224.83/225.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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)))) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_mem__splitI,axiom,
% 224.83/225.06 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 224.83/225.06 => 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_prod__caseI,axiom,
% 224.83/225.06 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_splitI,axiom,
% 224.83/225.06 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_splitD_H,axiom,
% 224.83/225.06 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_splitD,axiom,
% 224.83/225.06 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apsnd__conv,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fst__apsnd,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_snd__apsnd,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apsnd__eq__conv,axiom,
% 224.83/225.06 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 224.83/225.06 ( 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)
% 224.83/225.06 <=> 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_negateSnd__def,axiom,
% 224.83/225.06 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_rp__inv__image__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_divmod__nat__if,axiom,
% 224.83/225.06 ! [V_m_2,V_n_2] :
% 224.83/225.06 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_divmod__int__code,axiom,
% 224.83/225.06 ! [V_l_2,V_k_2] :
% 224.83/225.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 224.83/225.06 => 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)))) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__rec__add__eq__if,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 224.83/225.06 ! [V_n_2,T_b] :
% 224.83/225.06 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__rec__number__of,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__rec__0,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__rec__Suc,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 224.83/225.06 ! [V_i_2,V_inc_2,T_b] :
% 224.83/225.06 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 224.83/225.06 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 224.83/225.06 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_norm__frac_Opinduct,axiom,
% 224.83/225.06 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ( ! [B_a,B_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 224.83/225.06 => 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))) )
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Nitpick_Ofrac__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equivp__equiv,axiom,
% 224.83/225.06 ! [V_A_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 224.83/225.06 <=> 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__quotient__disjoint,axiom,
% 224.83/225.06 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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)
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__empty,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__uminus,axiom,
% 224.83/225.06 ! [V_A_2,T_b] :
% 224.83/225.06 ( class_Groups_Oordered__ab__group__add(T_b)
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__id2,axiom,
% 224.83/225.06 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__fun,axiom,
% 224.83/225.06 ! [T_d,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__def,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => ! [B_xa] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 224.83/225.06 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 224.83/225.06 => B_x = B_xa ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__onD,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.83/225.06 => V_x_2 = V_y_2 ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__iff,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.83/225.06 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 224.83/225.06 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__contraD,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( V_x_2 != V_y_2
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 224.83/225.06 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_subset__inj__on,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equivp__transp,axiom,
% 224.83/225.06 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equivp__symp,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equivp__reflp,axiom,
% 224.83/225.06 ! [V_x_2,V_R_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equivp__def,axiom,
% 224.83/225.06 ! [V_R_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.06 <=> ! [B_x,B_y] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 224.83/225.06 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_identity__equivp,axiom,
% 224.83/225.06 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__diff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_injD,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 224.83/225.06 => V_x_2 = V_y_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__eq,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 224.83/225.06 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__Int,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__imageD,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__image__eq__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( 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)
% 224.83/225.06 <=> V_A_2 = V_B_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( 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)),V_A_2),V_B_2))
% 224.83/225.06 => ( 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)
% 224.83/225.06 <=> V_A_2 = V_B_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__image,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__strict__subset,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__image__mem__iff,axiom,
% 224.83/225.06 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_range__ex1__eq,axiom,
% 224.83/225.06 ! [V_b_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( 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)))))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( V_b_2 = hAPP(V_f_2,B_x)
% 224.83/225.06 & ! [B_y] :
% 224.83/225.06 ( V_b_2 = hAPP(V_f_2,B_y)
% 224.83/225.06 => B_y = B_x ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__iff__surj,axiom,
% 224.83/225.06 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 224.83/225.06 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => ( ? [B_f] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 224.83/225.06 & 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)) )
% 224.83/225.06 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_endo__inj__surj,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 224.83/225.06 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__surj__inj,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__UNIV__inj__surj,axiom,
% 224.83/225.06 ! [V_f_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__UNIV__surj__inj,axiom,
% 224.83/225.06 ! [V_f_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__image__subset__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__image__Int,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__Int,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_eq__card__imp__inj__on,axiom,
% 224.83/225.06 ! [V_f_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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)
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__iff__eq__card,axiom,
% 224.83/225.06 ! [V_f_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 <=> 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__image__set__diff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__set__diff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_pigeonhole,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__fun__updI,axiom,
% 224.83/225.06 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__singleton,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__bij__eq,axiom,
% 224.83/225.06 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( 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))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 224.83/225.06 => ( 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))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.06 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__image__Compl__subset,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__insert,axiom,
% 224.83/225.06 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 224.83/225.06 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 & ~ 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))))))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__Un,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( 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)),V_A_2),V_B_2))
% 224.83/225.06 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.06 & 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__inj__on__le,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( 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))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.06 => 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))) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__iff__card__le,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.06 => ( ? [B_f] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 224.83/225.06 & 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)) )
% 224.83/225.06 <=> 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))) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_quotient__diff1,axiom,
% 224.83/225.06 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 224.83/225.06 ( 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)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__into__into,axiom,
% 224.83/225.06 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__nonneg__0,axiom,
% 224.83/225.06 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 224.83/225.06 ( class_Groups_Oordered__ab__group__add(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 224.83/225.06 => ( ! [B_i] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 224.83/225.06 => ( 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)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 224.83/225.06 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__nonneg__leq__bound,axiom,
% 224.83/225.06 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 224.83/225.06 ( class_Groups_Oordered__ab__group__add(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 224.83/225.06 => ( ! [B_i] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 224.83/225.06 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__add__nat,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__Suc,axiom,
% 224.83/225.06 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__of__nat,axiom,
% 224.83/225.06 ! [T_b] :
% 224.83/225.06 ( class_Nat_Osemiring__char__0(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__int,axiom,
% 224.83/225.06 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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_swap__inj__on,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__into__f__f,axiom,
% 224.83/225.06 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__into__f__eq,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__f__f,axiom,
% 224.83/225.06 ! [V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__the__inv__into,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__into__onto,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_f__the__inv__into__f,axiom,
% 224.83/225.06 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_quotient__def,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sum__diff__distrib,axiom,
% 224.83/225.06 ! [V_n_2,V_P_2,V_Q_2] :
% 224.83/225.06 ( ! [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)))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apsnd__apfst,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP1__I,axiom,
% 224.83/225.06 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__I,axiom,
% 224.83/225.06 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I6_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I6_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UNION__empty__conv_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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)
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__empty2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__constant,axiom,
% 224.83/225.06 ! [V_c_2,T_c,T_b,V_A_2] :
% 224.83/225.06 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UNION__empty__conv_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I10_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__UN,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I10_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__Un__distrib,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__Un,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__UN__distrib2,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I4_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__UN__distrib,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I5_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I4_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I5_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Image__UN,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP1__iff,axiom,
% 224.83/225.06 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__subset__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__Pow__subset,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUPR__apply,axiom,
% 224.83/225.06 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__UN__flatten,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I9_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I9_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__commute,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I8_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I8_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__UN,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_ball__UN,axiom,
% 224.83/225.06 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( ! [B_x] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => ! [B_xa] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 224.83/225.06 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apfst__conv,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fst__apfst,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apfst__eq__conv,axiom,
% 224.83/225.06 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.06 ( 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)
% 224.83/225.06 <=> 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_snd__apfst,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apsnd__apfst__commute,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__le__iff,axiom,
% 224.83/225.06 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_less__SUP__iff,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 224.83/225.06 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 & class_Orderings_Olinorder(T_b) )
% 224.83/225.06 => ( 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)))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__const,axiom,
% 224.83/225.06 ! [V_M_2,T_b,V_A_2,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__insert__distrib,axiom,
% 224.83/225.06 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__upper,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__UN__eq,axiom,
% 224.83/225.06 ! [V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__absorb,axiom,
% 224.83/225.06 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__singleton,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I3_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I3_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__insert,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Union__image__eq,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UNION__eq__Union__image,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__subset,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__eq__UN,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Image__eq__UN,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_le__SUPI,axiom,
% 224.83/225.06 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Un__Union__image,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_congruent2__implies__congruent__UN,axiom,
% 224.83/225.06 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 224.83/225.06 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 224.83/225.06 => 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)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__equiv__class2,axiom,
% 224.83/225.06 ! [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] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 224.83/225.06 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 224.83/225.06 => 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) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__equiv__class,axiom,
% 224.83/225.06 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => 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) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_sup__SUPR__fold__sup,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUPR__fold__sup,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_apfst__apsnd,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__equiv__class__inject,axiom,
% 224.83/225.06 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 224.83/225.06 => ( 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)
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => ! [B_y] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 224.83/225.06 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 224.83/225.06 => 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)) ) ) )
% 224.83/225.06 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__equiv__class__type,axiom,
% 224.83/225.06 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 224.83/225.06 => 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)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__equiv__class__type2,axiom,
% 224.83/225.06 ! [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] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 224.83/225.06 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 224.83/225.06 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => ( ! [B_x1] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 224.83/225.06 => ! [B_x2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 224.83/225.06 => 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)) ) ) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP2__I,axiom,
% 224.83/225.06 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Union__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP__UN__eq2,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__Union,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__Union,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__Union2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__lessThan__UNIV,axiom,
% 224.83/225.06 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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__atMost__UNIV,axiom,
% 224.83/225.06 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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__atLeast__UNIV,axiom,
% 224.83/225.06 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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__UN__finite__eq,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__le__add__shift,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__le__eq__Un0,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_minus__int__def,axiom,
% 224.83/225.06 ! [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))))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__def,axiom,
% 224.83/225.06 ! [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)))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__finite2__subset,axiom,
% 224.83/225.06 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [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)))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SUP2__iff,axiom,
% 224.83/225.06 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Rep__Integ__inject,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2] :
% 224.83/225.06 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 224.83/225.06 <=> V_x_2 = V_y_2 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Rep__Integ__inverse,axiom,
% 224.83/225.06 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Rep__Integ,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__finite2__eq,axiom,
% 224.83/225.06 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [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)
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__finite__subset,axiom,
% 224.83/225.06 ! [V_C_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [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))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__def,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__def_H,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__empty,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Image__Id__on,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__eqI,axiom,
% 224.83/225.06 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 224.83/225.06 ( V_a_2 = V_b_2
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => 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)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__iff,axiom,
% 224.83/225.06 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 224.83/225.06 ( 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_Relation_OId__on(T_b,V_A_2)))
% 224.83/225.06 <=> ( V_x_2 = V_y_2
% 224.83/225.06 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__onE,axiom,
% 224.83/225.06 ! [V_A_2,V_c_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 224.83/225.06 => ~ ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition__Integ,axiom,
% 224.83/225.06 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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INFI__fold__inf,axiom,
% 224.83/225.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__D,axiom,
% 224.83/225.06 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__E,axiom,
% 224.83/225.06 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 224.83/225.06 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF1__D,axiom,
% 224.83/225.06 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF1__E,axiom,
% 224.83/225.06 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 224.83/225.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF2__E,axiom,
% 224.83/225.06 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 224.83/225.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF2__D,axiom,
% 224.83/225.06 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__INT,axiom,
% 224.83/225.06 ! [V_A_2,T_c,V_I_2,T_b] :
% 224.83/225.06 ( ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 224.83/225.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__INT__eq2,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I10_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I10_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I7_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I6_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I7_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Un__INT__distrib,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I6_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Un__INT__distrib2,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__Int__distrib,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__subset__iff,axiom,
% 224.83/225.06 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Pow__INT__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INFI__apply,axiom,
% 224.83/225.06 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__commute,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I5_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I5_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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)
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I8_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I8_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Inter__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I9_J,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I9_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_le__INF__iff,axiom,
% 224.83/225.06 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 => ( 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)))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__less__iff,axiom,
% 224.83/225.06 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.06 & class_Orderings_Olinorder(T_b) )
% 224.83/225.06 => ( 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))
% 224.83/225.06 <=> ? [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__insert__distrib,axiom,
% 224.83/225.06 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__lower,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__INT__eq,axiom,
% 224.83/225.06 ! [V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__absorb,axiom,
% 224.83/225.06 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 224.83/225.06 => 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) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__const,axiom,
% 224.83/225.06 ! [V_M_2,T_b,V_A_2,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__empty,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__constant,axiom,
% 224.83/225.06 ! [V_c_2,T_c,T_b,V_A_2] :
% 224.83/225.06 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__insert,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__Un,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__simps_I7_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__extend__simps_I7_J,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Image__INT__subset,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Compl__INT,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Compl__UN,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Un__Inter,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Inter__image__eq,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INTER__eq__Inter__image,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__subset,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I1_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I2_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I3_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I3_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__extend__simps_I4_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF__leI,axiom,
% 224.83/225.06 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__Inter__image,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__greaterThan__UNIV,axiom,
% 224.83/225.06 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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INT__simps_I4_J,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 224.83/225.06 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inf__INFI__fold__inf,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 224.83/225.06 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_OAbs__image,axiom,
% 224.83/225.06 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_ORep__range,axiom,
% 224.83/225.06 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_OAbs__inject,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 224.83/225.06 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 224.83/225.06 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF2__iff,axiom,
% 224.83/225.06 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_INF1__iff,axiom,
% 224.83/225.06 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_ORep__inject,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 224.83/225.06 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_ORep__inverse,axiom,
% 224.83/225.06 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_ORep,axiom,
% 224.83/225.06 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_type__definition_OAbs__inverse,axiom,
% 224.83/225.06 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 224.83/225.06 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 224.83/225.06 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__INT,axiom,
% 224.83/225.06 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 224.83/225.06 => 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)) )
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_escape,axiom,
% 224.83/225.06 ! [V_Q_2,V_c_2,V_Ga_2,T_b,V_P_2] :
% 224.83/225.06 ( ! [B_Z,B_s] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 224.83/225.06 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s)),V_c_2,hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 224.83/225.06 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 224.83/225.06 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 224.83/225.06 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.06 => ( V_A_2 = V_B_2
% 224.83/225.06 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 224.83/225.06 => 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) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 224.83/225.06 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 224.83/225.06 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 & class_Groups_Ocomm__monoid__mult(T_b) )
% 224.83/225.06 => ( V_A_2 = V_B_2
% 224.83/225.06 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 224.83/225.06 => 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) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_accp__acc__eq,axiom,
% 224.83/225.06 ! [V_x_2,V_r_2,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_max__extp_Oequations,axiom,
% 224.83/225.06 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 224.83/225.06 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 224.83/225.06 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 224.83/225.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 224.83/225.06 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 & ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 224.83/225.06 => ? [B_xa] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_acc__subset,axiom,
% 224.83/225.06 ! [V_R2_2,V_R1_2,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_acc__downward,axiom,
% 224.83/225.06 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_acc_Osimps,axiom,
% 224.83/225.06 ! [V_r_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 224.83/225.06 <=> ! [B_x] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__Inter,axiom,
% 224.83/225.06 ! [V_f_2,T_c,T_b,V_S_2] :
% 224.83/225.06 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 224.83/225.06 => ( ! [B_A] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 224.83/225.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Inter__subset,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.06 ( ! [B_X] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 224.83/225.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__elem__def,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_The__split__eq,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_split__paired__The,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_the__inv__into__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fold__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_divmod__nat__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fold1__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_The__split,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_flat__lub__def,axiom,
% 224.83/225.06 ! [V_b_2,V_A_2,T_b] :
% 224.83/225.06 ( ( 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)))))
% 224.83/225.06 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 224.83/225.06 & ( ~ 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)))))
% 224.83/225.06 => 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)))))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__vimage__singleton,axiom,
% 224.83/225.06 ! [V_a_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Rep__Integ__induct,axiom,
% 224.83/225.06 ! [V_P_2,V_y_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 224.83/225.06 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 224.83/225.06 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimageI,axiom,
% 224.83/225.06 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 224.83/225.06 ( hAPP(V_f_2,V_a_2) = V_b_2
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__UN,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__empty,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Un,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Int,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__UNIV,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__mono,axiom,
% 224.83/225.06 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Compl,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__code,axiom,
% 224.83/225.06 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 224.83/225.06 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__ident,axiom,
% 224.83/225.06 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Diff,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimageI2,axiom,
% 224.83/225.06 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimageD,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__eq,axiom,
% 224.83/225.06 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__INT,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__vimage__subset,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_surj__image__vimage__eq,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Union,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__singleton__eq,axiom,
% 224.83/225.06 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 224.83/225.06 ( 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))))))
% 224.83/225.06 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__insert,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__vimageD,axiom,
% 224.83/225.06 ! [V_F_2,V_h_2,T_c,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__subsetD,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__vimage__eq,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__vimageI,axiom,
% 224.83/225.06 ! [V_h_2,T_c,V_F_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 224.83/225.06 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__vimage__image__eq,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => 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 ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__const,axiom,
% 224.83/225.06 ! [T_c,V_A_2,V_c_2,T_b] :
% 224.83/225.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__eq__UN,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__subsetI,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__if,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 224.83/225.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 224.83/225.06 => 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 ) ) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 224.83/225.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 224.83/225.06 => 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) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 224.83/225.06 => 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)) ) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_image__split__eq__Sigma,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Rep__Integ__cases,axiom,
% 224.83/225.06 ! [V_y_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 224.83/225.06 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_inj__on__INTER,axiom,
% 224.83/225.06 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 224.83/225.06 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => ( ! [B_i] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 224.83/225.06 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SigmaI,axiom,
% 224.83/225.06 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__empty1,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__eq__cancel2,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 224.83/225.06 => ( 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))
% 224.83/225.06 <=> V_A_2 = V_B_2 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Diff__distrib2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__Diff__distrib1,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Diff__distrib1,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Union,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__cartesian__product,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__cartesian__product,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__empty,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__empty2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Compl__Times__UNIV1,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Compl__Times__UNIV2,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setprod__cartesian__product,axiom,
% 224.83/225.06 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__mult(T_b)
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Un__distrib1,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__Un__distrib1,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Un__distrib2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_swap__product,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__cartesian__product,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 224.83/225.06 => 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)))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_equiv__type,axiom,
% 224.83/225.06 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.06 => 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Int__distrib1,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__Int__distrib1,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__Int__distrib2,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Id__on__subset__Times,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UNIV__Times__UNIV,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_mem__Sigma__iff,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SigmaD1,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SigmaD2,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SigmaE2,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.06 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__cartesian__product__singleton,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Times__subset__cancel2,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 224.83/225.06 => ( 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))))
% 224.83/225.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Image__subset,axiom,
% 224.83/225.06 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 224.83/225.06 ( 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))))
% 224.83/225.06 => 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)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__cartesian__productD2,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))))
% 224.83/225.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__cartesian__productD1,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,T_c,T_b] :
% 224.83/225.06 ( 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))))
% 224.83/225.06 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fst__image__times,axiom,
% 224.83/225.06 ! [V_A_2,T_c,T_b,V_B_2] :
% 224.83/225.06 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_snd__image__times,axiom,
% 224.83/225.06 ! [V_B_2,T_c,T_b,V_A_2] :
% 224.83/225.06 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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)) )
% 224.83/225.06 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 => 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 ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_insert__times__insert,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__equiv__class,axiom,
% 224.83/225.06 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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))))
% 224.83/225.06 => ( 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)))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UN__Times__distrib,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Sigma__def,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__quotient,axiom,
% 224.83/225.06 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( 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))))
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 224.83/225.06 ! [V_A_2,V_I_2,T_c,T_b] :
% 224.83/225.06 ? [B_f] :
% 224.83/225.06 ( 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))
% 224.83/225.06 & 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fold__image__Sigma,axiom,
% 224.83/225.06 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__SigmaI,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( ! [B_a] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setprod__Sigma,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__Sigma,axiom,
% 224.83/225.06 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__add(T_d)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 224.83/225.06 => 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)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__SigmaI,axiom,
% 224.83/225.06 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.06 => ( ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 224.83/225.06 => 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) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SigmaE,axiom,
% 224.83/225.06 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ~ ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => ! [B_y] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 224.83/225.06 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__surj,axiom,
% 224.83/225.06 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ( 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))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__inj__on,axiom,
% 224.83/225.06 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.06 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 224.83/225.06 => 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))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__imageI,axiom,
% 224.83/225.06 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => 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))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__simp,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_snd__prod__fun,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_fst__map__pair,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__ident,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_map__pair__surj__on,axiom,
% 224.83/225.06 ! [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] :
% 224.83/225.06 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 224.83/225.06 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_prod__fun__imageE,axiom,
% 224.83/225.06 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => ~ ! [B_x,B_y] :
% 224.83/225.06 ( 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))
% 224.83/225.06 => ~ 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__on__def,axiom,
% 224.83/225.06 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.06 <=> ( 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))))
% 224.83/225.06 & ! [B_x] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_card__less__Suc,axiom,
% 224.83/225.06 ! [V_i_2,V_M_2] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 224.83/225.06 => 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))))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_CollectI,axiom,
% 224.83/225.06 ! [T_b,V_a_2,V_P_2] :
% 224.83/225.06 ( hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__Collect__conjI,axiom,
% 224.83/225.06 ! [V_Q_2,V_P_2,T_b] :
% 224.83/225.06 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 224.83/225.06 => 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)))) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__Collect__less__nat,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__Collect__le__nat,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__split,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_SetCompr__Sigma__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__neg__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__Collect__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__on__Id__on,axiom,
% 224.83/225.06 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__mem__eq,axiom,
% 224.83/225.06 ! [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 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_mem__Collect__eq,axiom,
% 224.83/225.06 ! [V_P_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_CollectD,axiom,
% 224.83/225.06 ! [V_P_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_CollectE,axiom,
% 224.83/225.06 ! [V_P_2,V_a_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__conj__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__disj__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_empty__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_insert__Collect,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__Collect__disjI,axiom,
% 224.83/225.06 ! [V_Q_2,V_P_2,T_b] :
% 224.83/225.06 ( 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))))
% 224.83/225.06 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_UNIV__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__def,axiom,
% 224.83/225.06 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 224.83/225.06
% 224.83/225.06 fof(fact_empty__Collect__eq,axiom,
% 224.83/225.06 ! [V_P_2,T_b] :
% 224.83/225.06 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 224.83/225.06 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__empty__eq,axiom,
% 224.83/225.06 ! [V_P_2,T_b] :
% 224.83/225.06 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.06 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_insert__compr,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_insert__compr__raw,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Un__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__def,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Int__Collect,axiom,
% 224.83/225.06 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 224.83/225.06 ( 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))))
% 224.83/225.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.06 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_singleton__conv2,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_singleton__conv,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__conv__if2,axiom,
% 224.83/225.06 ! [T_b,V_a_2,V_P_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__conv__if,axiom,
% 224.83/225.06 ! [T_b,V_a_2,V_P_2] :
% 224.83/225.06 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.06 => 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))) )
% 224.83/225.06 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_set__diff__eq,axiom,
% 224.83/225.06 ! [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)))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__Collect__not,axiom,
% 224.83/225.06 ! [V_P_2,T_b] :
% 224.83/225.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.06 => ( 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))))
% 224.83/225.06 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_insert__def,axiom,
% 224.83/225.06 ! [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) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Compl__eq,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_vimage__def,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_Collect__imp__eq,axiom,
% 224.83/225.06 ! [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)) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_finite__M__bounded__by__nat,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__on__empty,axiom,
% 224.83/225.06 ! [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))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__on__Un,axiom,
% 224.83/225.06 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__on__Int,axiom,
% 224.83/225.06 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 224.83/225.06 => 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)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_setsum__setsum__restrict,axiom,
% 224.83/225.06 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 224.83/225.06 ( class_Groups_Ocomm__monoid__add(T_d)
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 224.83/225.06 => 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) ) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_if__image__distrib,axiom,
% 224.83/225.06 ! [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))))) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_nat__seg__image__imp__finite,axiom,
% 224.83/225.06 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 224.83/225.06 ( 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)))
% 224.83/225.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__onD2,axiom,
% 224.83/225.06 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.06 => ( 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))
% 224.83/225.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 224.83/225.06
% 224.83/225.06 fof(fact_refl__onD1,axiom,
% 224.83/225.07 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__onD,axiom,
% 224.83/225.07 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 224.83/225.07 => 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_a_2)),V_r_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__restrict__set_H,axiom,
% 224.83/225.07 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__image__gen,axiom,
% 224.83/225.07 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__singleton,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__cases,axiom,
% 224.83/225.07 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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))))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_card__less__Suc2,axiom,
% 224.83/225.07 ! [V_i_2,V_M_2] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_card__less,axiom,
% 224.83/225.07 ! [V_i_2,V_M_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__onI,axiom,
% 224.83/225.07 ! [V_A_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 224.83/225.07 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__multicount,axiom,
% 224.83/225.07 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 224.83/225.07 => 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 )
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__Collect__subsets,axiom,
% 224.83/225.07 ! [V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Pow__Compl,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Pow__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__Collect__bounded__ex,axiom,
% 224.83/225.07 ! [V_Q_2,T_c,V_P_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.07 => ( 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),V_P_2))),V_Q_2)))))
% 224.83/225.07 <=> ! [B_y] :
% 224.83/225.07 ( hBOOL(hAPP(V_P_2,B_y))
% 224.83/225.07 => 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_y)))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__image__set,axiom,
% 224.83/225.07 ! [V_f_2,T_c,V_P_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 224.83/225.07 => 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_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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__graph,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__psubset__def,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inv__image__def,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_add__Min__commute,axiom,
% 224.83/225.07 ! [V_k_2,V_N_2,T_b] :
% 224.83/225.07 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_add__Max__commute,axiom,
% 224.83/225.07 ! [V_k_2,V_N_2,T_b] :
% 224.83/225.07 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 224.83/225.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sup__Inf2__distrib,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Lattices_Odistrib__lattice(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))))) ) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sup__Inf1__distrib,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Lattices_Odistrib__lattice(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inf__Sup1__distrib,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Lattices_Odistrib__lattice(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inf__Sup2__distrib,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Lattices_Odistrib__lattice(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))))) ) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))))) ) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 => 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))))))) ) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oprod__def,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_int__ge__less__than2__def,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_int__ge__less__than__def,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reflp__def,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Predicate_Oreflp(T_b,V_r_2)
% 224.83/225.07 <=> 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Rings_Osemiring__0(T_d)
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => 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))))))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__multicount__gen,axiom,
% 224.83/225.07 ! [V_k_2,V_R_2,V_ta_2,T_c,V_s_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_ta_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_ta_2))
% 224.83/225.07 => 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) )
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__on__id,axiom,
% 224.83/225.07 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apfst__id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apsnd__id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reflpE,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Predicate_Oreflp(T_b,V_r_2)
% 224.83/225.07 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_id__apply,axiom,
% 224.83/225.07 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 224.83/225.07
% 224.83/225.07 fof(fact_id__def,axiom,
% 224.83/225.07 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_vimage__id,axiom,
% 224.83/225.07 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_map__pair_Oidentity,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_map__pair_Oid,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_image__id,axiom,
% 224.83/225.07 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_of__int__eq__id,axiom,
% 224.83/225.07 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_surj__id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apfst__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apsnd__def,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_split__Pair,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__reindex__id,axiom,
% 224.83/225.07 ! [V_B_2,V_f_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setprod__reindex__id,axiom,
% 224.83/225.07 ! [V_B_2,V_f_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__conv__nat__seg__image,axiom,
% 224.83/225.07 ! [V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 <=> ? [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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__def,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Collect__split,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__compI,axiom,
% 224.83/225.07 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_RangeI,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__UNION__distrib2,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__UNION__distrib,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Id__on,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_O__assoc,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__distrib2,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__distrib,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__empty1,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__empty2,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_union__comp__emptyR,axiom,
% 224.83/225.07 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_union__comp__emptyL,axiom,
% 224.83/225.07 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Union,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__empty__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_b,T_c] :
% 224.83/225.07 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__empty,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__comp__subset__Sigma,axiom,
% 224.83/225.07 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => ( 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))))
% 224.83/225.07 => 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)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Un__eq,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__Range,axiom,
% 224.83/225.07 ! [V_r_2,T_c,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 224.83/225.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_snd__eq__Range,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_c,V_a_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 224.83/225.07 <=> ? [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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__insert,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Int__subset,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Diff__subset,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_max__ext__compat,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( 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_S_2)),V_R_2))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__ext__compat,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( 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_S_2)),V_R_2))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_RangeP__Range__eq,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_RangeE,axiom,
% 224.83/225.07 ! [V_r_2,T_c,V_b_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 224.83/225.07 => ~ ! [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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pred__comp__rel__comp__eq,axiom,
% 224.83/225.07 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pred__comp_Ointros,axiom,
% 224.83/225.07 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_RangeP_Ointros,axiom,
% 224.83/225.07 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 224.83/225.07 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pred__comp_Oequations,axiom,
% 224.83/225.07 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> ? [B_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 224.83/225.07 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_RangeP_Oequations,axiom,
% 224.83/225.07 ! [V_a2_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 224.83/225.07 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reduction__pairI,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 => ( 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_S_2)),V_R_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Collect__split,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_the__eq__trivial,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__less__than,axiom,
% 224.83/225.07 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__empty,axiom,
% 224.83/225.07 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__inv__image,axiom,
% 224.83/225.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__lex__prod,axiom,
% 224.83/225.07 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 224.83/225.07 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__measure,axiom,
% 224.83/225.07 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_DomainI,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__comp__self,axiom,
% 224.83/225.07 ! [V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_min__ext__wf,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__subset,axiom,
% 224.83/225.07 ! [V_p_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Id__on,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__mlex,axiom,
% 224.83/225.07 ! [V_f_2,V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__pair__less,axiom,
% 224.83/225.07 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_max__ext__wf,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__Int2,axiom,
% 224.83/225.07 ! [V_r_H_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__Int1,axiom,
% 224.83/225.07 ! [V_r_H_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__finite__psubset,axiom,
% 224.83/225.07 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__less,axiom,
% 224.83/225.07 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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__not__refl,axiom,
% 224.83/225.07 ! [V_a_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ~ 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_a_2)),V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__not__sym,axiom,
% 224.83/225.07 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ( 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_x_2)),V_r_2))
% 224.83/225.07 => ~ 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__asym,axiom,
% 224.83/225.07 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ( 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_x_2)),V_r_2))
% 224.83/225.07 => ~ 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__irrefl,axiom,
% 224.83/225.07 ! [V_a_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ~ 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_a_2)),V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__int__ge__less__than2,axiom,
% 224.83/225.07 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__int__ge__less__than,axiom,
% 224.83/225.07 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__Un,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__acc__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acc__wfD,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__no__loop,axiom,
% 224.83/225.07 ! [V_R_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__union__merge,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__empty,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__empty__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_c,T_b] :
% 224.83/225.07 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Un__eq,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__Domain,axiom,
% 224.83/225.07 ! [V_r_2,T_c,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 224.83/225.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fst__eq__Domain,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 <=> ~ ? [B_f] :
% 224.83/225.07 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfE__pf,axiom,
% 224.83/225.07 ! [V_A_2,V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__union__compatible,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 224.83/225.07 => ( 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_S_2)),V_R_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_c,V_a_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 224.83/225.07 <=> ? [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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf,axiom,
% 224.83/225.07 ! [T_b] :
% 224.83/225.07 ( class_Orderings_Owellorder(T_b)
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__insert,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reduction__pair__def,axiom,
% 224.83/225.07 ! [V_P_2,T_b] :
% 224.83/225.07 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 224.83/225.07 <=> ( 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))
% 224.83/225.07 & 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_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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reduction__pair__lemma,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 224.83/225.07 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 224.83/225.07 => 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)) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Int__subset,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Diff__subset,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Field__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__map__pair__image,axiom,
% 224.83/225.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Union,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_the__sym__eq__trivial,axiom,
% 224.83/225.07 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_DomainP__Domain__eq,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__lenlex,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_DomainE,axiom,
% 224.83/225.07 ! [V_r_2,T_c,V_a_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 224.83/225.07 => ~ ! [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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_DomainP_Ointros,axiom,
% 224.83/225.07 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 224.83/225.07 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_DomainP_Oequations,axiom,
% 224.83/225.07 ! [V_a1_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 224.83/225.07 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pred__nat__def,axiom,
% 224.83/225.07 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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__lex,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__lexn,axiom,
% 224.83/225.07 ! [V_n_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lex__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexn_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__pred__nat,axiom,
% 224.83/225.07 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__same__fst,axiom,
% 224.83/225.07 ! [T_b,V_R_2,T_c,V_P_2] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.07 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 224.83/225.07 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__if__measure,axiom,
% 224.83/225.07 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.07 => 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))) )
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__def,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 224.83/225.07 <=> 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__empty,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_accp__wfPD,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 224.83/225.07 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__accp__iff,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 224.83/225.07 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__subset,axiom,
% 224.83/225.07 ! [V_p_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__in__rel,axiom,
% 224.83/225.07 ! [V_R_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_R_2)
% 224.83/225.07 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__wf__eq,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__acyclicP,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pigeonhole__infinite,axiom,
% 224.83/225.07 ! [V_f_2,T_c,V_A_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.07 => ? [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 & ~ 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)))))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__on__def_H,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 <=> ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 224.83/225.07 => 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)) )
% 224.83/225.07 & ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_ball__empty,axiom,
% 224.83/225.07 ! [V_P_2,T_b,B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__acyclic,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acyclic__subset,axiom,
% 224.83/225.07 ! [V_r_2,V_s_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Powp__def,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 224.83/225.07 <=> ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 224.83/225.07 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_INFI__bool__eq,axiom,
% 224.83/225.07 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Collect__ball__eq,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_congruent__def,axiom,
% 224.83/225.07 ! [V_f_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 224.83/225.07 <=> ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_INTER__def,axiom,
% 224.83/225.07 ! [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) = 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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 224.83/225.07 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__acyclic__wf,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 224.83/225.07 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Inf__Sup,axiom,
% 224.83/225.07 ! [V_A_2,T_b] :
% 224.83/225.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Sup__Inf,axiom,
% 224.83/225.07 ! [V_A_2,T_b] :
% 224.83/225.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.07 => 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)))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Owf_H__def,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 224.83/225.07 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.07 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 224.83/225.07 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Abs__Integ__cases,axiom,
% 224.83/225.07 ! [V_x_2] :
% 224.83/225.07 ~ ! [B_y] :
% 224.83/225.07 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 224.83/225.07 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Abs__Integ__induct,axiom,
% 224.83/225.07 ! [V_x_2,V_P_2] :
% 224.83/225.07 ( ! [B_y] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 224.83/225.07 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Inter__eq,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__UN__I,axiom,
% 224.83/225.07 ! [V_B_2,T_c,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( ! [B_a] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 224.83/225.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__on__diff__nat,axiom,
% 224.83/225.07 ! [V_k_2,V_N_2] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfP__SUP,axiom,
% 224.83/225.07 ! [T_b,V_r_2,T_c] :
% 224.83/225.07 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 224.83/225.07 => ( ! [B_i,B_j] :
% 224.83/225.07 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 224.83/225.07 => 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)) )
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_mem__splitE,axiom,
% 224.83/225.07 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_x,B_y] :
% 224.83/225.07 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 224.83/225.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_mem__splitI2,axiom,
% 224.83/225.07 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 224.83/225.07 ( ! [B_a,B_b] :
% 224.83/225.07 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_vimage__Times,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_id__o,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__id,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__eq__id__dest,axiom,
% 224.83/225.07 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apfst__compose,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_apsnd__compose,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__cong,axiom,
% 224.83/225.07 ! [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] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__assoc,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__apply,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__eq__dest,axiom,
% 224.83/225.07 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__eq__elim,axiom,
% 224.83/225.07 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fun__upd__comp,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 224.83/225.07 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 224.83/225.07 ! [V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__eq__dest__lhs,axiom,
% 224.83/225.07 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 224.83/225.07 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 224.83/225.07 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_o__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_K__record__comp,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_vimage__compose,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_map__pair_Ocompositionality,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_map__pair__compose,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_map__pair_Ocomp,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_image__compose,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__surj,axiom,
% 224.83/225.07 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__on__imageI2,axiom,
% 224.83/225.07 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__comp,axiom,
% 224.83/225.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_inj__on__imageI,axiom,
% 224.83/225.07 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__inj__on,axiom,
% 224.83/225.07 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__inj__on__iff,axiom,
% 224.83/225.07 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 <=> 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__reindex,axiom,
% 224.83/225.07 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_d)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setprod__reindex__cong,axiom,
% 224.83/225.07 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.07 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 224.83/225.07 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 224.83/225.07 => 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) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setprod__reindex,axiom,
% 224.83/225.07 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum_Oreindex,axiom,
% 224.83/225.07 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setprod_Oreindex,axiom,
% 224.83/225.07 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__mult(T_c)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_the__inv__into__comp,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 224.83/225.07 => ( 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))))
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fold__image__reindex,axiom,
% 224.83/225.07 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Oab__semigroup__mult(T_d)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Oremove,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__image_Oreindex,axiom,
% 224.83/225.07 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.07 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ounion,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 224.83/225.07 ! [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] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__comp,axiom,
% 224.83/225.07 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__left__comp,axiom,
% 224.83/225.07 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fst__comp__map__pair,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_UN__o,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_snd__comp__map__pair,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__image_Odistrib,axiom,
% 224.83/225.07 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_split__comp,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__comp_H,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 224.83/225.07 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 224.83/225.07 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Oempty,axiom,
% 224.83/225.07 ! [V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Oeq__fold,axiom,
% 224.83/225.07 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__image_Oeq__fold,axiom,
% 224.83/225.07 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Oinsert,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Ounion__inter,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding_Oinsert__remove,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_hoare__derivs_OIf,axiom,
% 224.83/225.07 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] :
% 224.83/225.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2),V_c_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.83/225.07 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)),V_d_2,V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.83/225.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Loop,axiom,
% 224.83/225.07 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] :
% 224.83/225.07 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2),V_c_2,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 224.83/225.07 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OWhile(V_b_2,V_c_2),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__reindex__nonzero,axiom,
% 224.83/225.07 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_d)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.07 => ! [B_y] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 224.83/225.07 => ( B_x != B_y
% 224.83/225.07 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 224.83/225.07 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_peek__and__def,axiom,
% 224.83/225.07 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2),V_Z_2),V_s_2))
% 224.83/225.07 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 224.83/225.07 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Ounion__idem,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Oinsert__idem,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 224.83/225.07 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Oidem__comp,axiom,
% 224.83/225.07 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 224.83/225.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_strong__setprod__reindex__cong,axiom,
% 224.83/225.07 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.07 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => 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) )
% 224.83/225.07 => 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) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Eps__split,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wfI__pf,axiom,
% 224.83/225.07 ! [V_R_2,T_b] :
% 224.83/225.07 ( ! [B_A] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 224.83/225.07 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_exE__some,axiom,
% 224.83/225.07 ! [T_b,V_c_2,V_P_2] :
% 224.83/225.07 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.07 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 224.83/225.07 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_tfl__some,axiom,
% 224.83/225.07 ! [T_b,B_P] :
% 224.83/225.07 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 224.83/225.07 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_someI,axiom,
% 224.83/225.07 ! [T_b,V_x_2,V_P_2] :
% 224.83/225.07 ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_some__sym__eq__trivial,axiom,
% 224.83/225.07 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_some__eq__trivial,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_some__eq__ex,axiom,
% 224.83/225.07 ! [T_b,V_P_2] :
% 224.83/225.07 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 224.83/225.07 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_someI__ex,axiom,
% 224.83/225.07 ! [T_b,V_P_2] :
% 224.83/225.07 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_split__paired__Eps,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Eps__split__eq,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Sigma__mono,axiom,
% 224.83/225.07 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => 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))) )
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_not__acc__down,axiom,
% 224.83/225.07 ! [V_R_2,V_x_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 224.83/225.07 => ~ ! [B_z] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acc_OaccI,axiom,
% 224.83/225.07 ! [V_r_2,V_x_2,T_b] :
% 224.83/225.07 ( ! [B_y] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_InterI,axiom,
% 224.83/225.07 ! [V_A_2,V_C_2,T_b] :
% 224.83/225.07 ( ! [B_X] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_fold__sup__le__sup,axiom,
% 224.83/225.07 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Lattices_Osemilattice__sup(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 224.83/225.07 => 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))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__no__infinite__down__chainE,axiom,
% 224.83/225.07 ! [V_f_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => ~ ! [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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_iterate_Osimps,axiom,
% 224.83/225.07 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 224.83/225.07 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_scomp__apply,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Pair__scomp,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_scomp__Pair,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_scomp__scomp,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_scomp__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_scomp__unfold,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__reindex__cong,axiom,
% 224.83/225.07 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_d)
% 224.83/225.07 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.07 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 224.83/225.07 => ( ! [B_a] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 224.83/225.07 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 224.83/225.07 => 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) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_setsum__ivl__cong,axiom,
% 224.83/225.07 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 224.83/225.07 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.07 & class_Orderings_Oord(T_b) )
% 224.83/225.07 => ( V_a_2 = V_c_2
% 224.83/225.07 => ( V_b_2 = V_d_2
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 224.83/225.07 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 224.83/225.07 => 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)) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_less__eq,axiom,
% 224.83/225.07 ! [V_n_2,V_m_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__eq__minimal,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 <=> ! [B_Q] :
% 224.83/225.07 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 224.83/225.07 => ? [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 224.83/225.07 & ! [B_y] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__trancl,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_less__than__def,axiom,
% 224.83/225.07 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acyclic__def,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.07 <=> ! [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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl_Or__into__trancl,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__subset__Field2,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_r__into__trancl_H,axiom,
% 224.83/225.07 ! [V_r_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__empty,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__domain,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__range,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__trancl,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__trans,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__into__trancl2,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_r__r__into__trancl,axiom,
% 224.83/225.07 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__unfold,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__subset__Sigma,axiom,
% 224.83/225.07 ! [V_A_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__Int__subset,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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(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))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__insert,axiom,
% 224.83/225.07 ! [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)))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reflcl__set__eq,axiom,
% 224.83/225.07 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_r__into__rtrancl,axiom,
% 224.83/225.07 ! [V_r_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_IdI,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__into__rtrancl,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__unfold__left,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__unfold__right,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__reflcl,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_reflcl__trancl,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__trancl__absorb,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__rtrancl__absorb,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__rtrancl,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__rtrancl,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__rtrancl,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__idemp,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__trans,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__r__diff__Id,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__rtrancl__UnI,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 224.83/225.07 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 224.83/225.07 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__closed__trancl,axiom,
% 224.83/225.07 ! [V_X_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__subset__rtrancl,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__subset,axiom,
% 224.83/225.07 ! [V_S_2,V_R_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__Un__subset,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__reflcl__absorb,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__Un__rtrancl,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__reflcl,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__unfold,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__Int__subset,axiom,
% 224.83/225.07 ! [V_r_2,V_s_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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(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))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__idemp__self__comp,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_r__comp__rtrancl__eq,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__empty,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_R__O__Id,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Id__O__R,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__Id,axiom,
% 224.83/225.07 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pair__in__Id__conv,axiom,
% 224.83/225.07 ! [V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Relation_OId(T_b)))
% 224.83/225.07 <=> V_a_2 = V_b_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__trancl__trancl,axiom,
% 224.83/225.07 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__rtrancl__trancl,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__into__trancl1,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtranclD,axiom,
% 224.83/225.07 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 224.83/225.07 => ( V_a_2 = V_b_2
% 224.83/225.07 | ( V_a_2 != V_b_2
% 224.83/225.07 & 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)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__into__trancl2,axiom,
% 224.83/225.07 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => 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)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__eq__or__trancl,axiom,
% 224.83/225.07 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> ( V_x_2 = V_y_2
% 224.83/225.07 | ( V_x_2 != V_y_2
% 224.83/225.07 & 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))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__Id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__Id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__Id,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pair__leq__def,axiom,
% 224.83/225.07 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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Not__Domain__rtrancl,axiom,
% 224.83/225.07 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 <=> V_x_2 = V_y_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acc__downwards__aux,axiom,
% 224.83/225.07 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acc__downwards,axiom,
% 224.83/225.07 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 224.83/225.07 => ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__insert,axiom,
% 224.83/225.07 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 224.83/225.07 & ~ 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acyclic__insert,axiom,
% 224.83/225.07 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.07 & ~ 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__reflcl,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Id__def,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_irrefl__diff__Id,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pred__nat__trancl__eq__le,axiom,
% 224.83/225.07 ! [V_n_2,V_m_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__subset__Sigma__aux,axiom,
% 224.83/225.07 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 224.83/225.07 => ( 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))))
% 224.83/225.07 => ( V_a_2 = V_b_2
% 224.83/225.07 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_irrefl__tranclI,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ~ 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sequence__trans,axiom,
% 224.83/225.07 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 224.83/225.07 ( ! [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)))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__converse,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__Id,axiom,
% 224.83/225.07 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acyclic__converse,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.07 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__on__converse,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.07 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__inv__image,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__Int,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__converse,axiom,
% 224.83/225.07 ! [V_r_2,T_c,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 224.83/225.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__converse,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Field__converse,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__Id__on,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__Un,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__rel__comp,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__iff,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converseI,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converseD,axiom,
% 224.83/225.07 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__UNION,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__INTER,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__converse,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__converse__trancl,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.07 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_equiv__comp__eq,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.07 => 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 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Domain__converse,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Range__converse,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__converseI,axiom,
% 224.83/225.07 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__converseD,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__converseI,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__converseD,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__subset__eq,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_refl__on__comp__subset,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__equivI,axiom,
% 224.83/225.07 ! [V_A_2,V_r_2,T_b] :
% 224.83/225.07 ( 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
% 224.83/225.07 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 224.83/225.07 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__acyclic__wf__converse,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 224.83/225.07 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.07 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converse__def,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__INT__eq,axiom,
% 224.83/225.07 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 224.83/225.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_total__on__diff__Id,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__Id,axiom,
% 224.83/225.07 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__rel__comp,axiom,
% 224.83/225.07 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 224.83/225.07 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__subset,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 224.83/225.07 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__Id__on,axiom,
% 224.83/225.07 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_total__on__empty,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_total__on__converse,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.07 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__def,axiom,
% 224.83/225.07 ! [V_r_2,T_c,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 224.83/225.07 <=> ! [B_x,B_y] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ! [B_z] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => B_y = B_z ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valuedD,axiom,
% 224.83/225.07 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => V_y_2 = V_z_2 ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_total__on__def,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 <=> ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => ! [B_xa] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 224.83/225.07 => ( B_x != B_xa
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 224.83/225.07 | 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)) ) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__confluent,axiom,
% 224.83/225.07 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 | 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))) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Image__Int__eq,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 224.83/225.07 ! [V_R_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_acyclicI,axiom,
% 224.83/225.07 ! [V_r_2,T_b] :
% 224.83/225.07 ( ! [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)))
% 224.83/225.07 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_single__valued__rel__pow,axiom,
% 224.83/225.07 ! [V_n_2,V_R_2,T_b] :
% 224.83/225.07 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow__swap1,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow__mult,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_wf__exp,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_comp__funpow,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__commute,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__1,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__imp__rtrancl,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__power,axiom,
% 224.83/225.07 ! [V_R_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 224.83/225.07 <=> ? [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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_relpow_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__add,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_relpow_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__0__E,axiom,
% 224.83/225.07 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => V_x_2 = V_y_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__0__I,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__Suc__I2,axiom,
% 224.83/225.07 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__Suc__I,axiom,
% 224.83/225.07 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( 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))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow__add,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_trancl__power,axiom,
% 224.83/225.07 ! [V_R_2,V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 224.83/225.07 <=> ? [B_n] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 224.83/225.07 & 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_funpow__code__def,axiom,
% 224.83/225.07 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__E,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => V_x_2 != V_z_2 )
% 224.83/225.07 => ~ ! [B_y,B_m] :
% 224.83/225.07 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ~ 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)) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__E2,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => V_x_2 != V_z_2 )
% 224.83/225.07 => ~ ! [B_y,B_m] :
% 224.83/225.07 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => ~ 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))) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__Un__separatorE,axiom,
% 224.83/225.07 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),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))))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 224.83/225.07 => ! [B_y] :
% 224.83/225.07 ( 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_Q_2))
% 224.83/225.07 => B_x = B_y ) )
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 224.83/225.07 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),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))))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ! [B_y] :
% 224.83/225.07 ( 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_Q_2))
% 224.83/225.07 => B_y = B_x ) )
% 224.83/225.07 => 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)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__Suc__D2,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ? [B_y] :
% 224.83/225.07 ( 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))
% 224.83/225.07 & 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__Suc__E,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_y] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__pow__Suc__E2,axiom,
% 224.83/225.07 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_y] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ~ 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_tranclD2,axiom,
% 224.83/225.07 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ? [B_z] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 & 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_tranclD,axiom,
% 224.83/225.07 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ? [B_z] :
% 224.83/225.07 ( 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))
% 224.83/225.07 & 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_IdE,axiom,
% 224.83/225.07 ! [V_p_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 224.83/225.07 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_transfer__nat__int__set__cong,axiom,
% 224.83/225.07 ! [V_P_H_2,V_P_2] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 224.83/225.07 => ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.07 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Int__Collect__mono,axiom,
% 224.83/225.07 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.07 => ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.07 => ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.07 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 224.83/225.07 => 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)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_UnionE,axiom,
% 224.83/225.07 ! [V_C_2,V_A_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_X] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 224.83/225.07 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rel__compE,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_x,B_y,B_z] :
% 224.83/225.07 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => ~ 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_converseE,axiom,
% 224.83/225.07 ! [V_r_2,V_yx_2,T_c,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ~ ! [B_x,B_y] :
% 224.83/225.07 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 224.83/225.07 => ~ 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_internal__split__def,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_internal__split__conv,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oof__frac__def,axiom,
% 224.83/225.07 ! [V_q,T_a,T_b] :
% 224.83/225.07 ( ( class_Rings_Oinverse(T_b)
% 224.83/225.07 & class_Rings_Oring__1(T_b) )
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oless__frac__def,axiom,
% 224.83/225.07 ! [V_r_2,V_q_2,T_b] :
% 224.83/225.07 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 224.83/225.07 <=> 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 224.83/225.07 ! [V_r_2,V_q_2,T_b] :
% 224.83/225.07 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 224.83/225.07 <=> 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Odenom__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Onum__def,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__less__ub,axiom,
% 224.83/225.07 ! [V_u_2,V_f_2] :
% 224.83/225.07 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lenlex__def,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexn__length,axiom,
% 224.83/225.07 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 224.83/225.07 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 224.83/225.07 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_neq__if__length__neq,axiom,
% 224.83/225.07 ! [V_ys,V_xs,T_a] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => V_xs != V_ys ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lenlex__conv,axiom,
% 224.83/225.07 ! [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)))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__sublist,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexn_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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)))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_impossible__Cons,axiom,
% 224.83/225.07 ! [V_x,V_ys,V_xs,T_a] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Oinject,axiom,
% 224.83/225.07 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> ( V_a_2 = V_a_H_2
% 224.83/225.07 & V_list_2 = V_list_H_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_not__Cons__self2,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 224.83/225.07
% 224.83/225.07 fof(fact_not__Cons__self,axiom,
% 224.83/225.07 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osize_I4_J,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__in__lex,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)),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)))
% 224.83/225.07 <=> ( ( 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))
% 224.83/225.07 & 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) )
% 224.83/225.07 | ( V_x_2 = V_y_2
% 224.83/225.07 & 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_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__Cons__def,axiom,
% 224.83/225.07 ! [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)))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_pick_Osimps,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a,V_i] :
% 224.83/225.07 ( ( 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)))
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( ~ 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)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_select__weight__cons__zero,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__cons__cons,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),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)))
% 224.83/225.07 <=> ( 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))
% 224.83/225.07 | ( V_a_2 = V_b_2
% 224.83/225.07 & 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))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__lex,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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_Olex(T_b,V_r_2)))
% 224.83/225.07 <=> ( 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)))
% 224.83/225.07 & 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( 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_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 224.83/225.07 => 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)),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)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osize_I2_J,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__acc__listrel1I,axiom,
% 224.83/225.07 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 224.83/225.07 => ( 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))))
% 224.83/225.07 => 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)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__converse,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 224.83/225.07 => 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)),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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1I2,axiom,
% 224.83/225.07 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 224.83/225.07 => 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)),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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__eq__len,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__listrel1__converse,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 224.83/225.07 <=> 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)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1I1,axiom,
% 224.83/225.07 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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)),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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__listrel1__Cons,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)),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)))
% 224.83/225.07 <=> ( ( 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))
% 224.83/225.07 & V_xs_2 = V_ys_2 )
% 224.83/225.07 | ( V_x_2 = V_y_2
% 224.83/225.07 & 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_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Cons,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__linear,axiom,
% 224.83/225.07 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( ! [B_a,B_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 | B_a = B_b
% 224.83/225.07 | 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)) )
% 224.83/225.07 => ( 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)))
% 224.83/225.07 | V_x_2 = V_y_2
% 224.83/225.07 | 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_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__rtrancl__refl,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__mono,axiom,
% 224.83/225.07 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__eq__len,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__rtrancl__trans,axiom,
% 224.83/225.07 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 224.83/225.07 => ( 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_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 224.83/225.07 => 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_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 224.83/225.07 => 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__subset__listrel,axiom,
% 224.83/225.07 ! [V_r_H_2,V_r_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 224.83/225.07 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => 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_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel_OCons,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => 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)),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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrelp__listrel__eq,axiom,
% 224.83/225.07 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> 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_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Cons2,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => ~ ! [B_x,B_xs] :
% 224.83/225.07 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => ~ 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)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrelp_Oequations_I2_J,axiom,
% 224.83/225.07 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 224.83/225.07 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrelp_OCons,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 224.83/225.07 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Cons1,axiom,
% 224.83/225.07 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 224.83/225.07 ( 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)),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)))
% 224.83/225.07 => ~ ! [B_y,B_ys] :
% 224.83/225.07 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 224.83/225.07 => ( 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))
% 224.83/225.07 => ~ 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_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__subset,axiom,
% 224.83/225.07 ! [V_A_2,V_r_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__UNIV,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__mono,axiom,
% 224.83/225.07 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_equiv__listrel,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__refl__on,axiom,
% 224.83/225.07 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.07 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__in__lists__iff,axiom,
% 224.83/225.07 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.07 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__accI,axiom,
% 224.83/225.07 ! [V_r_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__accD,axiom,
% 224.83/225.07 ! [V_r_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__iff__nth,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 <=> ( 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)
% 224.83/225.07 & ! [B_n] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__irreflexive,axiom,
% 224.83/225.07 ! [V_y_2,V_r_2,T_b] :
% 224.83/225.07 ( ! [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))
% 224.83/225.07 => ~ 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_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_infinite__UNIV__listI,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__eq__iff__nth__eq,axiom,
% 224.83/225.07 ! [T_b,V_ys_2,V_xs_2] :
% 224.83/225.07 ( V_xs_2 = V_ys_2
% 224.83/225.07 <=> ( 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)
% 224.83/225.07 & ! [B_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__Cons__0,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__Cons__Suc,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth_Osimps,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__Cons_H,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a,V_n] :
% 224.83/225.07 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 224.83/225.07 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__Cons__number__of,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a,V_v] :
% 224.83/225.07 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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 )
% 224.83/225.07 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__take__index__conv,axiom,
% 224.83/225.07 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> ( ( 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)))
% 224.83/225.07 & 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 )
% 224.83/225.07 | ? [B_i] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 224.83/225.07 & 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__sublist,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__set,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__subset__Cons,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__all,axiom,
% 224.83/225.07 ! [V_n,V_xs,T_a] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__take__subset__set__take,axiom,
% 224.83/225.07 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__take__subset,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__sublist__subset,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__take,axiom,
% 224.83/225.07 ! [V_xs,T_a,V_n,V_i] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_notin__set__sublistI,axiom,
% 224.83/225.07 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => ~ 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__takeD,axiom,
% 224.83/225.07 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__sublistD,axiom,
% 224.83/225.07 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__ConsD,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => ( V_y_2 = V_x_2
% 224.83/225.07 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__Suc__Cons,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__take,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__take,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sublist__upt__eq__take,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_card__length,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_all__set__conv__all__nth,axiom,
% 224.83/225.07 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.07 <=> ! [B_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__size__estimation,axiom,
% 224.83/225.07 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__size__estimation_H,axiom,
% 224.83/225.07 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 224.83/225.07 => 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))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__lists__conv__set,axiom,
% 224.83/225.07 ! [V_A_2,V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 224.83/225.07 <=> ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__pos__if__in__set,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__mem,axiom,
% 224.83/225.07 ! [V_xs_2,T_b,V_n_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__conv__nth,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 <=> ? [B_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__eq__set,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__conv__nth,axiom,
% 224.83/225.07 ! [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))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__lists__length__eq,axiom,
% 224.83/225.07 ! [V_n_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_finite__lists__length__le,axiom,
% 224.83/225.07 ! [V_n_2,V_A_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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))))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__iff__zip,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 <=> ( 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)
% 224.83/225.07 & ! [B_x] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => 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)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__zip,axiom,
% 224.83/225.07 ! [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)))))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__zip,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__zip,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__Cons__Cons,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__eq__iff__zip__eq,axiom,
% 224.83/225.07 ! [T_b,V_ys_2,V_xs_2] :
% 224.83/225.07 ( V_xs_2 = V_ys_2
% 224.83/225.07 <=> ( 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)
% 224.83/225.07 & ! [B_x] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__same,axiom,
% 224.83/225.07 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 224.83/225.07 ( 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)),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))))
% 224.83/225.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 & V_a_2 = V_b_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__zip__leftD,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__zip__rightD,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__zipE,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 224.83/225.07 ( 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))))
% 224.83/225.07 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__zip,axiom,
% 224.83/225.07 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_greaterThanLessThan__upto,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__setsum__nth,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__upto,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_atLeastAtMost__upto,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 224.83/225.07 ! [V_ns_2] :
% 224.83/225.07 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 <=> ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 224.83/225.07 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_elem__le__listsum__nat,axiom,
% 224.83/225.07 ! [V_ns,V_k] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__simps_I2_J,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a] :
% 224.83/225.07 ( class_Groups_Omonoid__add(T_a)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_atLeastLessThan__upto,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_greaterThanAtMost__upto,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nat__list__def,axiom,
% 224.83/225.07 ! [V_l_2] :
% 224.83/225.07 ( c_List_Onat__list(V_l_2)
% 224.83/225.07 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__size__pointwise,axiom,
% 224.83/225.07 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 224.83/225.07 ( ! [B_x] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__update__nat,axiom,
% 224.83/225.07 ! [V_n,V_ns,V_k] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast__take,axiom,
% 224.83/225.07 ! [V_xs,T_a,V_n] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__beyond,axiom,
% 224.83/225.07 ! [V_x,V_i,V_xs,T_a] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__id,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__list__update__neq,axiom,
% 224.83/225.07 ! [V_x,V_xs,T_a,V_j,V_i] :
% 224.83/225.07 ( V_i != V_j
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__list__update,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast__list__update,axiom,
% 224.83/225.07 ! [V_x,V_xs,T_a,V_k] :
% 224.83/225.07 ( ( 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))
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( 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))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__update,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_update__zip,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__swap,axiom,
% 224.83/225.07 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 224.83/225.07 ( V_i != V_i_H
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__overwrite,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__code_I2_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__code_I3_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__butlastD,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 224.83/225.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__update__subsetI,axiom,
% 224.83/225.07 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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))
% 224.83/225.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__update__subset__insert,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__list__update,axiom,
% 224.83/225.07 ! [V_x,V_j,V_xs,T_a,V_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ( V_i = V_j
% 224.83/225.07 => 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 )
% 224.83/225.07 & ( V_i != V_j
% 224.83/225.07 => 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) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__same__conv,axiom,
% 224.83/225.07 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 224.83/225.07 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__list__update__eq,axiom,
% 224.83/225.07 ! [V_x,V_xs,T_a,V_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__butlast,axiom,
% 224.83/225.07 ! [V_xs,T_a,V_n] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__butlast,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__update__memI,axiom,
% 224.83/225.07 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast__conv__take,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel1__iff__update,axiom,
% 224.83/225.07 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 224.83/225.07 <=> ? [B_y,B_n] :
% 224.83/225.07 ( 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))
% 224.83/225.07 & 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)))
% 224.83/225.07 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__list__update,axiom,
% 224.83/225.07 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => ( ~ 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))))))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__upto,axiom,
% 224.83/225.07 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__take,axiom,
% 224.83/225.07 ! [V_i,V_xs,T_a] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__sublistI,axiom,
% 224.83/225.07 ! [V_I_2,V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__zipI2,axiom,
% 224.83/225.07 ! [V_xs,T_b,V_ys,T_a] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__zipI1,axiom,
% 224.83/225.07 ! [V_ys,T_b,V_xs,T_a] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct_Osimps_I2_J,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 224.83/225.07 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_card__distinct,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__card,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__conv__nth,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 <=> ! [B_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ! [B_j] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( B_i != B_j
% 224.83/225.07 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__eq__iff__index__eq,axiom,
% 224.83/225.07 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( 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)
% 224.83/225.07 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nitpick_Ocard_H__def,axiom,
% 224.83/225.07 ! [V_A_2,T_b] :
% 224.83/225.07 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)))) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__take__lemma,axiom,
% 224.83/225.07 ! [V_ys,V_xs,T_a,V_k] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( 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)))
% 224.83/225.07 => ( ! [B_i] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 224.83/225.07 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 224.83/225.07 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__remove1__eq,axiom,
% 224.83/225.07 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.07 => 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__Cons__number__of,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a,V_v] :
% 224.83/225.07 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists_ONil,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Nil1,axiom,
% 224.83/225.07 ! [V_r_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Nil2,axiom,
% 224.83/225.07 ! [V_r_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 224.83/225.07 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__butlast,axiom,
% 224.83/225.07 ! [T_a,V_xs] :
% 224.83/225.07 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.07 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct_Osimps_I1_J,axiom,
% 224.83/225.07 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_distinct__remove1,axiom,
% 224.83/225.07 ! [V_x,V_xs,T_a] :
% 224.83/225.07 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.07 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast_Osimps_I1_J,axiom,
% 224.83/225.07 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast_Osimps_I2_J,axiom,
% 224.83/225.07 ! [V_x,T_a,V_xs] :
% 224.83/225.07 ( ( V_xs = c_List_Olist_ONil(T_a)
% 224.83/225.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 224.83/225.07 & ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_remove1_Osimps_I2_J,axiom,
% 224.83/225.07 ! [V_xs,T_a,V_y,V_x] :
% 224.83/225.07 ( ( V_x = V_y
% 224.83/225.07 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 224.83/225.07 & ( V_x != V_y
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osimps_I3_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_upto__empty,axiom,
% 224.83/225.07 ! [V_i,V_j] :
% 224.83/225.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 224.83/225.07 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__0,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__eq__Nil,axiom,
% 224.83/225.07 ! [V_xs_2,V_n_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.07 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__Nil,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sublist__nil,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_remove1_Osimps_I1_J,axiom,
% 224.83/225.07 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_remove1__commute,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrelp_ONil,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrelp_Oequations_I1_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__Nil,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osize_I1_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__simps_I1_J,axiom,
% 224.83/225.07 ! [T_a] :
% 224.83/225.07 ( class_Groups_Omonoid__add(T_a)
% 224.83/225.07 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osize_I3_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__0__conv,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__empty2,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__empty,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__nonempty,axiom,
% 224.83/225.07 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__code_I1_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_remove1__idem,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_notin__set__remove1,axiom,
% 224.83/225.07 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => ~ 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)))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_in__set__remove1,axiom,
% 224.83/225.07 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 224.83/225.07 ( V_a_2 != V_b_2
% 224.83/225.07 => ( 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))))
% 224.83/225.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sublist__empty,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__remove1__subset,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__greater__0__conv,axiom,
% 224.83/225.07 ! [V_xs_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__1__Cons,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_not__Nil__listrel1,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_not__listrel1__Nil,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel_ONil,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lexord__Nil__right,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nil__notin__lex,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nil2__notin__lex,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__Cons,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_upto_Osimps,axiom,
% 224.83/225.07 ! [V_j,V_i] :
% 224.83/225.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 224.83/225.07 => 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)) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 224.83/225.07 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sublist__singleton,axiom,
% 224.83/225.07 ! [V_x_2,T_b,V_A_2] :
% 224.83/225.07 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 224.83/225.07 => 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)) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_lists__empty,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__Cons_H,axiom,
% 224.83/225.07 ! [V_xs,V_x,T_a,V_n] :
% 224.83/225.07 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_upto__rec__number__of,axiom,
% 224.83/225.07 ! [V_n,V_m] :
% 224.83/225.07 ( ( 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)))
% 224.83/225.07 => 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))) )
% 224.83/225.07 & ( ~ 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)))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listrel__Nil,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__Cons__sing__Nil,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__remove1,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => 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)) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => 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) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_upto_Opsimps,axiom,
% 224.83/225.07 ! [V_j_2,V_i_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 224.83/225.07 => 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)) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 224.83/225.07 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_select,axiom,
% 224.83/225.07 ! [V_s_2,T_b,V_xs_2] :
% 224.83/225.07 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.07 => 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))) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listset_Osimps_I1_J,axiom,
% 224.83/225.07 ! [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))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__Cons1,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osimps_I5_J,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list_Osimps_I4_J,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listset_Osimps_I2_J,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__Cons,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sorted__list__of__set__remove,axiom,
% 224.83/225.07 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_upto_Opinduct,axiom,
% 224.83/225.07 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ! [B_i,B_j] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 224.83/225.07 => 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)) )
% 224.83/225.07 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 224.83/225.07 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sorted__list__of__set__empty,axiom,
% 224.83/225.07 ! [T_b] :
% 224.83/225.07 ( class_Orderings_Olinorder(T_b)
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_anamorph_Osimps,axiom,
% 224.83/225.07 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 224.83/225.07 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_sublist__Cons,axiom,
% 224.83/225.07 ! [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)))) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append1__eq__conv,axiom,
% 224.83/225.07 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> ( V_xs_2 = V_ys_2
% 224.83/225.07 & V_x_2 = V_y_2 ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__eq__append__conv,axiom,
% 224.83/225.07 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 224.83/225.07 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 224.83/225.07 | ? [B_ys_H] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 224.83/225.07 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__eq__Cons__conv,axiom,
% 224.83/225.07 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 224.83/225.07 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 224.83/225.07 | ? [B_ys_H] :
% 224.83/225.07 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 224.83/225.07 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Cons__eq__appendI,axiom,
% 224.83/225.07 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 224.83/225.07 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 224.83/225.07 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__Cons,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__in__lists__conv,axiom,
% 224.83/225.07 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 224.83/225.07 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__assoc,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__eq__append__conv2,axiom,
% 224.83/225.07 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2)
% 224.83/225.07 <=> ? [B_us] :
% 224.83/225.07 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 224.83/225.07 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 )
% 224.83/225.07 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 224.83/225.07 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_same__append__eq,axiom,
% 224.83/225.07 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> V_ys_2 = V_zs_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__same__eq,axiom,
% 224.83/225.07 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 224.83/225.07 ( 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)
% 224.83/225.07 <=> V_ys_2 = V_zs_2 ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__eq__appendI,axiom,
% 224.83/225.07 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 224.83/225.07 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 224.83/225.07 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_listsum__append,axiom,
% 224.83/225.07 ! [V_ys,V_xs,T_a] :
% 224.83/225.07 ( class_Groups_Omonoid__add(T_a)
% 224.83/225.07 => 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)) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_length__append,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_zip__append,axiom,
% 224.83/225.07 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 224.83/225.07 ( 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)
% 224.83/225.07 => ( 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)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_set__append,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_eq__Nil__appendI,axiom,
% 224.83/225.07 ! [T_a,V_ys,V_xs] :
% 224.83/225.07 ( V_xs = V_ys
% 224.83/225.07 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__self__conv2,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__self__conv,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 224.83/225.07 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__is__Nil__conv,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 224.83/225.07 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 224.83/225.07 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_self__append__conv2,axiom,
% 224.83/225.07 ! [V_xs_2,T_b,V_ys_2] :
% 224.83/225.07 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 224.83/225.07 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_self__append__conv,axiom,
% 224.83/225.07 ! [V_ys_2,T_b,V_xs_2] :
% 224.83/225.07 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 224.83/225.07 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__Nil2,axiom,
% 224.83/225.07 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 224.83/225.07
% 224.83/225.07 fof(fact_Nil__is__append__conv,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.07 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 224.83/225.07 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 224.83/225.07 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_append__Nil,axiom,
% 224.83/225.07 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 224.83/225.07
% 224.83/225.07 fof(fact_butlast__append,axiom,
% 224.83/225.07 ! [V_xs,T_a,V_ys] :
% 224.83/225.07 ( ( V_ys = c_List_Olist_ONil(T_a)
% 224.83/225.07 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 224.83/225.07 & ( V_ys != c_List_Olist_ONil(T_a)
% 224.83/225.07 => 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)) ) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__append__length,axiom,
% 224.83/225.07 ! [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 ).
% 224.83/225.07
% 224.83/225.07 fof(fact_nth__append__length__plus,axiom,
% 224.83/225.07 ! [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) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_take__append,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__append1,axiom,
% 224.83/225.07 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 224.83/225.07 ( 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)))
% 224.83/225.07 => 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) ) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_list__update__length,axiom,
% 224.83/225.07 ! [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)) ).
% 224.83/225.07
% 224.83/225.07 fof(fact_remove1__append,axiom,
% 224.83/225.07 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.07 => 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) )
% 224.83/225.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__butlast__appendI,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 224.83/225.08 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 224.83/225.08 => 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))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_butlast__snoc,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__listrel1I,axiom,
% 224.83/225.08 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 & V_us_2 = V_vs_2 )
% 224.83/225.08 | ( V_xs_2 = V_ys_2
% 224.83/225.08 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__append__leftI,axiom,
% 224.83/225.08 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__append,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 224.83/225.08 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 224.83/225.08 & 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__append,axiom,
% 224.83/225.08 ! [V_ys,V_xs,T_a,V_n] :
% 224.83/225.08 ( ( 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)))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__update__append,axiom,
% 224.83/225.08 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 224.83/225.08 ( ( 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)))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublist__append,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listrel1I,axiom,
% 224.83/225.08 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => ( 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))
% 224.83/225.08 => ( 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))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__append__left__rightI,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__Suc__conv__app__nth,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 224.83/225.08 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 & V_x_2 = V_y_2 )
% 224.83/225.08 | ( V_xs_2 = V_ys_2
% 224.83/225.08 & 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listrel1E,axiom,
% 224.83/225.08 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 => ~ ! [B_x,B_y] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => ! [B_us,B_vs] :
% 224.83/225.08 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 224.83/225.08 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__append__leftD,axiom,
% 224.83/225.08 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 => ( ! [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))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate1__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upd__conv__take__nth__drop,axiom,
% 224.83/225.08 ! [V_a,V_xs,T_a,V_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__take__drop__id,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__1__Cons,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Suc__Cons,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__via__drop,axiom,
% 224.83/225.08 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 224.83/225.08 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 224.83/225.08 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct1__rotate,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 224.83/225.08 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__drop,axiom,
% 224.83/225.08 ! [V_i,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__butlast,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_butlast__drop,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__drop,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__take,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__0,axiom,
% 224.83/225.08 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__drop,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__zip,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__drop,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__rotate1,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__rotate1,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__dropD,axiom,
% 224.83/225.08 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__drop__subset,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate1__is__Nil__conv,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Nil,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__drop__subset__set__drop,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__eq__Nil,axiom,
% 224.83/225.08 ! [V_xs_2,V_n_2,T_b] :
% 224.83/225.08 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__all,axiom,
% 224.83/225.08 ! [V_n,V_xs,T_a] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__eq__conv__conj,axiom,
% 224.83/225.08 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 224.83/225.08 <=> ( 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)
% 224.83/225.08 & 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Cons,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Cons_H,axiom,
% 224.83/225.08 ! [V_xs,V_x,T_a,V_n] :
% 224.83/225.08 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__drop,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_i,V_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__eq__append__conv__if,axiom,
% 224.83/225.08 ! [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] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ( ( 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)))
% 224.83/225.08 => ( 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)
% 224.83/225.08 & 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) ) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => ( 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
% 224.83/225.08 & 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 ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__drop_H,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__simps,axiom,
% 224.83/225.08 ! [V_xs,V_x,T_b,T_a] :
% 224.83/225.08 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 224.83/225.08 & 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Cons__number__of,axiom,
% 224.83/225.08 ! [V_xs,V_x,T_a,V_v] :
% 224.83/225.08 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__add,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_j,V_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate1__length01,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__append2,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__append1,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_id__take__nth__drop,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__hd__drop,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__drop__conv__nth,axiom,
% 224.83/225.08 ! [V_n,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd_Osimps,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__append,axiom,
% 224.83/225.08 ! [V_ys,T_a,V_xs] :
% 224.83/225.08 ( ( V_xs = c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__append2,axiom,
% 224.83/225.08 ! [V_ys,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__in__set,axiom,
% 224.83/225.08 ! [T_b,V_xs_2] :
% 224.83/225.08 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__conv__nth,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate1__hd__tl,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__rotate__conv__nth,axiom,
% 224.83/225.08 ! [V_n,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl__drop,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__tl,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__rotate,axiom,
% 224.83/225.08 ! [V_xs_2,V_n_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 224.83/225.08 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__tl,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__add,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate0,axiom,
% 224.83/225.08 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__rotate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__rotate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__rotate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__is__Nil__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_n_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl_Osimps_I1_J,axiom,
% 224.83/225.08 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate1__rotate__swap,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl__append2,axiom,
% 224.83/225.08 ! [V_ys,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__tl,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__conv__mod,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__Suc,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__Suc,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl__append,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__id,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_n] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__length01,axiom,
% 224.83/225.08 ! [V_n,V_xs,T_a] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__tl,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl__take,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__Suc,axiom,
% 224.83/225.08 ! [V_n,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__drop__take,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_fold1__set,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 224.83/225.08 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__append__rightI,axiom,
% 224.83/225.08 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 224.83/225.08 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__Nil,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_start__le__sum,axiom,
% 224.83/225.08 ! [V_ns_2,V_n_2,V_m_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__absorb0,axiom,
% 224.83/225.08 ! [V_zs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__assoc,axiom,
% 224.83/225.08 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Groups_Osemigroup__add(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__Cons,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__append,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__foldl,axiom,
% 224.83/225.08 ! [T_b] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sum__eq__0__conv,axiom,
% 224.83/225.08 ! [V_ns_2,V_m_2] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 224.83/225.08 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 224.83/225.08 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Sup__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Inf__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Sup__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Lattices_Olattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Inf__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Lattices_Olattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Min__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Max__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_SUPR__set__fold,axiom,
% 224.83/225.08 ! [V_f_2,V_xs_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_INFI__set__fold,axiom,
% 224.83/225.08 ! [V_f_2,V_xs_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_elem__le__sum,axiom,
% 224.83/225.08 ! [V_ns_2,V_n_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__list__of__set__insert,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => 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)))))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__Nil__left,axiom,
% 224.83/225.08 ! [V_r_2,V_y_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__key_Osimps_I1_J,axiom,
% 224.83/225.08 ! [V_x_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__key_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( ( 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)))
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__key__left__comm,axiom,
% 224.83/225.08 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_fun__left__comm__insort,axiom,
% 224.83/225.08 ! [T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__left__comm,axiom,
% 224.83/225.08 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remove1__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__not__Nil,axiom,
% 224.83/225.08 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__insert__insort__key,axiom,
% 224.83/225.08 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( ~ 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))))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__insert__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__insort__insert,axiom,
% 224.83/225.08 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__insert__triv,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__insort__insert,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__insert__key__triv,axiom,
% 224.83/225.08 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( 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))))
% 224.83/225.08 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__list__update,axiom,
% 224.83/225.08 ! [V_x,V_k,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => ( ( 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))
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 224.83/225.08 & ( 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))
% 224.83/225.08 => 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) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__conv__nth,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__ConsL,axiom,
% 224.83/225.08 ! [V_x,T_a,V_xs] :
% 224.83/225.08 ( V_xs = c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__ConsR,axiom,
% 224.83/225.08 ! [V_x,T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last_Osimps,axiom,
% 224.83/225.08 ! [V_x,T_a,V_xs] :
% 224.83/225.08 ( ( V_xs = c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 224.83/225.08 & ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__appendL,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_ys] :
% 224.83/225.08 ( V_ys = c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__appendR,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_ys] :
% 224.83/225.08 ( V_ys != c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__append,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_ys] :
% 224.83/225.08 ( ( V_ys = c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 224.83/225.08 & ( V_ys != c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__in__set,axiom,
% 224.83/225.08 ! [T_b,V_as_2] :
% 224.83/225.08 ( V_as_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__snoc,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__drop,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_snoc__eq__iff__butlast,axiom,
% 224.83/225.08 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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
% 224.83/225.08 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 224.83/225.08 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__butlast__last__id,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => 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 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lists_Osimps,axiom,
% 224.83/225.08 ! [V_A_2,V_a_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 224.83/225.08 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 224.83/225.08 | ? [B_a,B_l] :
% 224.83/225.08 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 224.83/225.08 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 224.83/225.08 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_select__weigth__select,axiom,
% 224.83/225.08 ! [T_b,V_xs_2] :
% 224.83/225.08 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__mapI,axiom,
% 224.83/225.08 ! [V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__map,axiom,
% 224.83/225.08 ! [V_f_2,T_c,T_b,V_xs_2] :
% 224.83/225.08 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__tl,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__same__conv__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__map2,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__zip__map2,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__zip__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__map1,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__map__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Nil__is__map__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__is__Nil__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__update,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__eq__conv,axiom,
% 224.83/225.08 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 224.83/225.08 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__eq__imp__length__eq,axiom,
% 224.83/225.08 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__subtractf,axiom,
% 224.83/225.08 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__addf,axiom,
% 224.83/225.08 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__const__mult,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 224.83/225.08 ( class_Rings_Osemiring__0(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__mult__const,axiom,
% 224.83/225.08 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Rings_Osemiring__0(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__0,axiom,
% 224.83/225.08 ! [V_xs_2,T_c,T_b] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__map__eq__map,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.08 => ( 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)
% 224.83/225.08 <=> V_xs_2 = V_ys_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__injective,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 224.83/225.08 => V_xs_2 = V_ys_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__ident,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__butlast,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__map,axiom,
% 224.83/225.08 ! [V_f_2,T_c,T_b,V_xs_2] :
% 224.83/225.08 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Omap_Ocompositionality,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__comp__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Omap_Ocomp,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Omap_Oid,axiom,
% 224.83/225.08 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Omap_Oidentity,axiom,
% 224.83/225.08 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__size__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__on__map__eq__map,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( 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)
% 224.83/225.08 <=> V_xs_2 = V_ys_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__inj__on,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => V_xs_2 = V_ys_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__map,axiom,
% 224.83/225.08 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__fun__upd,axiom,
% 224.83/225.08 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 224.83/225.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__map,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 224.83/225.08 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 224.83/225.08 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__abs,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_uminus__listsum__map,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Groups_Oab__group__add(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__on__mapI,axiom,
% 224.83/225.08 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__mapD,axiom,
% 224.83/225.08 ! [V_f_2,T_c,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__map,axiom,
% 224.83/225.08 ! [V_f_2,T_c,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 224.83/225.08 ! [V_f_2,V_xs_2,T_b,T_c] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__triv,axiom,
% 224.83/225.08 ! [V_xs_2,V_r_2,T_c,T_b] :
% 224.83/225.08 ( class_Rings_Osemiring__1(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__map__remove1,axiom,
% 224.83/225.08 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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)))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 224.83/225.08 ! [V_f_2,V_A_2,T_b,T_c] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.08 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => 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))))) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pick__same,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_l_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zero__code__numeral__def,axiom,
% 224.83/225.08 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 224.83/225.08 ! [V_m_2,V_n_2] :
% 224.83/225.08 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 224.83/225.08 <=> V_n_2 = V_m_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 224.83/225.08 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_times__code__numeral__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_one__code__numeral__def,axiom,
% 224.83/225.08 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_less__code__numeral__code,axiom,
% 224.83/225.08 ! [V_m_2,V_n_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.08 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 224.83/225.08 <=> V_x_2 = V_y_2 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__fst__zip,axiom,
% 224.83/225.08 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => 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 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__snd__zip,axiom,
% 224.83/225.08 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => 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 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_number__of__code__numeral__def,axiom,
% 224.83/225.08 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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__map__fst__snd,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_plus__code__numeral__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_less__eq__code__numeral__code,axiom,
% 224.83/225.08 ! [V_m_2,V_n_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_subtract__code__numeral__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pick__member,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_i_2] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__eq__conv,axiom,
% 224.83/225.08 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 224.83/225.08 <=> ( 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
% 224.83/225.08 & 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 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__size__conv__listsum,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral__not__eq__zero,axiom,
% 224.83/225.08 ! [V_i_2] :
% 224.83/225.08 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.08 <=> 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 224.83/225.08 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_select__weight__member,axiom,
% 224.83/225.08 ! [V_s_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_select__weight__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_select__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__mono,axiom,
% 224.83/225.08 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 224.83/225.08 ( ( class_Groups_Omonoid__add(T_c)
% 224.83/225.08 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 224.83/225.08 => 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)))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of__of__nat,axiom,
% 224.83/225.08 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 224.83/225.08
% 224.83/225.08 fof(fact_of__nat__nat__of,axiom,
% 224.83/225.08 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of__inverse,axiom,
% 224.83/225.08 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 224.83/225.08
% 224.83/225.08 fof(fact_times__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral_Onat__of__inject,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2] :
% 224.83/225.08 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 224.83/225.08 <=> V_x_2 = V_y_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 224.83/225.08 ! [V_l_2,V_k_2] :
% 224.83/225.08 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 224.83/225.08 <=> V_k_2 = V_l_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_type__definition__code__numeral,axiom,
% 224.83/225.08 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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_less__code__numeral__def,axiom,
% 224.83/225.08 ! [V_m_2,V_n_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of__number,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_int__of__def,axiom,
% 224.83/225.08 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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_less__eq__code__numeral__def,axiom,
% 224.83/225.08 ! [V_m_2,V_n_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nat__of__aux__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Suc__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_minus__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_of__nat__inverse,axiom,
% 224.83/225.08 ! [V_y_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.08 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_plus__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_div__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_mod__code__numeral__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral__decr,axiom,
% 224.83/225.08 ! [V_k] :
% 224.83/225.08 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition__set,axiom,
% 224.83/225.08 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition__P,axiom,
% 224.83/225.08 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lists__IntI,axiom,
% 224.83/225.08 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lists__Int__eq,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp_ONil,axiom,
% 224.83/225.08 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp_Oequations_I1_J,axiom,
% 224.83/225.08 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__listsp__conv__set,axiom,
% 224.83/225.08 ! [V_xs_2,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp__conj__eq,axiom,
% 224.83/225.08 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 224.83/225.08 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp__inf__eq,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp__infI,axiom,
% 224.83/225.08 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp_Oequations_I2_J,axiom,
% 224.83/225.08 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 224.83/225.08 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 224.83/225.08 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__in__listsp__conv,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 224.83/225.08 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 224.83/225.08 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp__mono,axiom,
% 224.83/225.08 ! [V_B_2,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsp__lists__eq,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_product_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__def,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 <=> ( 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)
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__map1,axiom,
% 224.83/225.08 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__map2,axiom,
% 224.83/225.08 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__dropI,axiom,
% 224.83/225.08 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__appendI,axiom,
% 224.83/225.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 224.83/225.08 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__append,axiom,
% 224.83/225.08 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( 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))
% 224.83/225.08 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__Cons,axiom,
% 224.83/225.08 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 224.83/225.08 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__takeI,axiom,
% 224.83/225.08 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__eq,axiom,
% 224.83/225.08 ! [T_b,V_ys_2,V_xs_2] :
% 224.83/225.08 ( V_xs_2 = V_ys_2
% 224.83/225.08 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__lengthD,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__Nil2,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__Nil,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 224.83/225.08 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_product_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__conv__all__nth,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 <=> ( 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)
% 224.83/225.08 & ! [B_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__nthD,axiom,
% 224.83/225.08 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__nthD2,axiom,
% 224.83/225.08 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__update__cong,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__update__cong2,axiom,
% 224.83/225.08 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__product,axiom,
% 224.83/225.08 ! [V_ys,T_b,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_product__list__set,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublists__powset,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__sublists,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublists_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublists_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__set__sublists,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__n__lists,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_enum__the__def,axiom,
% 224.83/225.08 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__n__lists,axiom,
% 224.83/225.08 ! [V_n,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_n__lists_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_n__lists__Nil,axiom,
% 224.83/225.08 ! [T_a,V_n] :
% 224.83/225.08 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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))) )
% 224.83/225.08 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__n__lists,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__n__lists__elem,axiom,
% 224.83/225.08 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2I,axiom,
% 224.83/225.08 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 224.83/225.08 => ( 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)
% 224.83/225.08 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_all__nth__imp__all__set,axiom,
% 224.83/225.08 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 224.83/225.08 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__removeAll__inj__on,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__remdups,axiom,
% 224.83/225.08 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__remdups__leq,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__id__iff__distinct,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 224.83/225.08 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__removeAll,axiom,
% 224.83/225.08 ! [V_x,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__remdups__id,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__remdups,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__remdups__eq,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__remdups,axiom,
% 224.83/225.08 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups_Osimps_I1_J,axiom,
% 224.83/225.08 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__eq__nil__right__iff,axiom,
% 224.83/225.08 ! [V_x_2,T_b] :
% 224.83/225.08 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 224.83/225.08 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll_Osimps_I1_J,axiom,
% 224.83/225.08 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__eq__nil__iff,axiom,
% 224.83/225.08 ! [V_x_2,T_b] :
% 224.83/225.08 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_y,V_x] :
% 224.83/225.08 ( ( V_x = V_y
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_x != V_y
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__map__remdups,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remove1__remdups,axiom,
% 224.83/225.08 ! [V_x,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll__id,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__remove1__removeAll,axiom,
% 224.83/225.08 ! [V_x,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__remdups__card__conv,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__removeAll__inj,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__removeAll,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__remdups__concat,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sort__key__simps_I1_J,axiom,
% 224.83/225.08 ! [V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__conv__concat,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__conv__foldl,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__sort,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__sort,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__sort,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 224.83/225.08 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat_Osimps_I1_J,axiom,
% 224.83/225.08 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Nil__eq__concat__conv,axiom,
% 224.83/225.08 ! [V_xss_2,T_b] :
% 224.83/225.08 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 224.83/225.08 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__eq__Nil__conv,axiom,
% 224.83/225.08 ! [V_xss_2,T_b] :
% 224.83/225.08 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 224.83/225.08 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__concat,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__concat,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__concat,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sort__key__simps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sort__foldl__insort,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__injective,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 224.83/225.08 => ( 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)
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)) )
% 224.83/225.08 => V_xs_2 = V_ys_2 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__eq__concat__iff,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)) )
% 224.83/225.08 => ( 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)
% 224.83/225.08 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 224.83/225.08 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__map__singleton,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_n__lists_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Osimps_I3_J,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__aux__filter__head,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__concat,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__sort,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__filter,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__is__subset,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__id__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sum__length__filter__compl,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__filter__le,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__filter,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remove1__filter__not,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__remove1,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__insort__triv,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition__filter1,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__empty__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll__filter__not__eq,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_removeAll__filter__not,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_remdups__filter,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition__filter2,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__transpose,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_i_2] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__map__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__filter,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__filter__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__filter__less,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_partition__filter__conv,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__minus__filter__out,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__in__sublist,axiom,
% 224.83/225.08 ! [V_s_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__empty,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 224.83/225.08 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__filter__conv__card,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__aux__filter__tail,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Opsimps_I3_J,axiom,
% 224.83/225.08 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Opsimps_I2_J,axiom,
% 224.83/225.08 ! [V_xss_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublist__shift__lemma__Suc,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_select__weigth__drop__zero,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pick__drop__zero,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose_Opsimps_I1_J,axiom,
% 224.83/225.08 ! [T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__max__length,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__aux__max,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr__conv__foldl,axiom,
% 224.83/225.08 ! [V_a_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Groups_Oab__semigroup__add(T_b)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr__map,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__foldr1__lemma,axiom,
% 224.83/225.08 ! [V_xs_2,V_a_2,T_b] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__foldr1,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__transpose,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublist__def,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sublist__shift__lemma,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_atLeastLessThan__upt,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__upt,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__Suc,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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))) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__Suc__append,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__add__eq__append,axiom,
% 224.83/225.08 ! [V_k,V_j,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__rec,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__conv__Cons,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__conv__Nil,axiom,
% 224.83/225.08 ! [V_i,V_j] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 224.83/225.08 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__eq__Nil__conv,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2] :
% 224.83/225.08 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 224.83/225.08 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__0,axiom,
% 224.83/225.08 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__upt,axiom,
% 224.83/225.08 ! [V_n,V_m,V_i] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__list__of__set__range,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__upt,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__upt,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__upt,axiom,
% 224.83/225.08 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__upt,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__rec__number__of,axiom,
% 224.83/225.08 ! [V_n,V_m] :
% 224.83/225.08 ( ( 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)))
% 224.83/225.08 => 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))) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_upt__eq__Cons__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 224.83/225.08 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 224.83/225.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 224.83/225.08 & V_i_2 = V_x_2
% 224.83/225.08 & 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 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__upt,axiom,
% 224.83/225.08 ! [V_j,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__Suc__upt,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_atLeastAtMost__upt,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_atLeast__upt,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__upt,axiom,
% 224.83/225.08 ! [V_j,V_k,V_i] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_greaterThanAtMost__upt,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_greaterThanLessThan__upt,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_atMost__upto,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__nth,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 224.83/225.08 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 224.83/225.08 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__map__upt,axiom,
% 224.83/225.08 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__rectangle,axiom,
% 224.83/225.08 ! [V_n_2,T_b,V_xs_2] :
% 224.83/225.08 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 224.83/225.08 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 224.83/225.08 => ( ! [B_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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 )
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__key__remove1,axiom,
% 224.83/225.08 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 224.83/225.08 => ( 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
% 224.83/225.08 => 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 ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted_ONil,axiom,
% 224.83/225.08 ! [T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__single,axiom,
% 224.83/225.08 ! [V_x,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__upt,axiom,
% 224.83/225.08 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__sort,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__insort__insert,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__drop,axiom,
% 224.83/225.08 ! [V_n,V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__upto,axiom,
% 224.83/225.08 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__take,axiom,
% 224.83/225.08 ! [V_n,V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__remove1,axiom,
% 224.83/225.08 ! [V_a,V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__tl,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__insort,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( 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))
% 224.83/225.08 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__butlast,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted_Oequations_I1_J,axiom,
% 224.83/225.08 ! [T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__many__eq,axiom,
% 224.83/225.08 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__many,axiom,
% 224.83/225.08 ! [V_zs,V_y,V_x,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 224.83/225.08 => 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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__remdups,axiom,
% 224.83/225.08 ! [V_l,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__distinct__set__unique,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 224.83/225.08 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 224.83/225.08 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__sort__key,axiom,
% 224.83/225.08 ! [V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__insort__insert__key,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__map__remove1,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__insort__key,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__map__same,axiom,
% 224.83/225.08 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__filter,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__same,axiom,
% 224.83/225.08 ! [V_xs_2,V_g_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__Cons,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 224.83/225.08 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__append,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 224.83/225.08 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ! [B_xa] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__insort,axiom,
% 224.83/225.08 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 224.83/225.08 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted_Oequations_I2_J,axiom,
% 224.83/225.08 ! [V_a1_2,V_a2_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 224.83/225.08 <=> ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__list__of__set,axiom,
% 224.83/225.08 ! [V_A_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 224.83/225.08 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__remove1,axiom,
% 224.83/225.08 ! [V_xs_2,V_a_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => 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 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__nth__mono,axiom,
% 224.83/225.08 ! [V_j,V_i,V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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))) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__equals__nth__mono,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 <=> ! [B_j] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ! [B_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 224.83/225.08 => 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))) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__sorted__distinct__set__unique,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 224.83/225.08 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 224.83/225.08 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__column,axiom,
% 224.83/225.08 ! [V_i_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__nth__transpose__sorted,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( 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))))
% 224.83/225.08 => ( 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))))
% 224.83/225.08 => 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) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_inj__on__rev,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__rev,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 224.83/225.08 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev_Osimps_I1_J,axiom,
% 224.83/225.08 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Nil__is__rev__conv,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__is__Nil__conv,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__singleton__conv,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_singleton__rev__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__append,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__concat,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__filter,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__rev,axiom,
% 224.83/225.08 ! [V_ys,T_b,V_xs,T_a] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__rev,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__rev1,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 224.83/225.08 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__rev,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__is__rev__conv,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 224.83/225.08 <=> V_xs_2 = V_ys_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__swap,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 224.83/225.08 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__rev__ident,axiom,
% 224.83/225.08 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__rev,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_a)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__rev,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr__foldl,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__foldr,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__eq__Cons__iff,axiom,
% 224.83/225.08 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 224.83/225.08 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__rev,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__rev,axiom,
% 224.83/225.08 ! [T_a,V_xs] :
% 224.83/225.08 ( V_xs != c_List_Olist_ONil(T_a)
% 224.83/225.08 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__transpose,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__foldl__cons,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__drop,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__take,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rotate__rev,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__nth,axiom,
% 224.83/225.08 ! [V_xs,T_a,V_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__update,axiom,
% 224.83/225.08 ! [V_y,V_xs,T_a,V_k] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__rev__nth__mono,axiom,
% 224.83/225.08 ! [V_j,V_i,V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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))) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldr__max__sorted,axiom,
% 224.83/225.08 ! [V_y_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 224.83/225.08 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 224.83/225.08 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 224.83/225.08 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => 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) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__transpose__sorted,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 224.83/225.08 => 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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__column__length,axiom,
% 224.83/225.08 ! [V_i_2,V_xs_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpose__transpose,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 224.83/225.08 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__takeWhile,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__takeWhile__le,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__takeWhileD,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__eq__all__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__takeWhile__snd,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__takeWhile__fst,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__tail,axiom,
% 224.83/225.08 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__eq__take,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__takeWhile,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_return__list__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__append1,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__nth,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__length__takeWhile,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ~ 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))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__not__last,axiom,
% 224.83/225.08 ! [T_b,V_xs_2] :
% 224.83/225.08 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 224.83/225.08 ! [V_ta_2,V_xs_2,V_f_2,T_c,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 224.83/225.08 ! [V_l] :
% 224.83/225.08 ( c_List_Onat__list(V_l)
% 224.83/225.08 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_embed__list__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__neq__rev,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__neq__rev,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__dropWhile__id,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__dropWhile,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__dropWhile,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__dropWhile__le,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__dropWhile,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__map,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__append1,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 224.83/225.08 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ( 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))
% 224.83/225.08 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__eq__drop,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__nth,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listsum__map__filter,axiom,
% 224.83/225.08 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 224.83/225.08 ( class_Groups_Omonoid__add(T_c)
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.08 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted__nth__monoI,axiom,
% 224.83/225.08 ! [V_xs,T_a] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_a)
% 224.83/225.08 => ( ! [B_i,B_j] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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))) ) )
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__eq__filter,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 224.83/225.08 ( ! [B_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 224.83/225.08 => ( ( 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)))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 224.83/225.08 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__takeWhile__less__P__nth,axiom,
% 224.83/225.08 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 224.83/225.08 ( ! [B_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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)))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted_Osimps,axiom,
% 224.83/225.08 ! [V_a_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 224.83/225.08 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 224.83/225.08 | ? [B_xs,B_x] :
% 224.83/225.08 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 224.83/225.08 & ! [B_xa] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Oinsert__def,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_not__in__set__insert,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insert__remdups,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__insert,axiom,
% 224.83/225.08 ! [V_x,V_xs,T_a] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__insert,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Oset__insert,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insert__Nil,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__map__maps,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_maps__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_maps__simps_I2_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_maps__simps_I1_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_distinct__concat,axiom,
% 224.83/225.08 ! [V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 224.83/225.08 => ( ! [B_ys] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 224.83/225.08 => ( ! [B_ys] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 224.83/225.08 => ! [B_zs] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 224.83/225.08 => ( B_ys != B_zs
% 224.83/225.08 => 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)) ) ) )
% 224.83/225.08 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measures__lesseq,axiom,
% 224.83/225.08 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( 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)))
% 224.83/225.08 => 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)))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_wf__measures,axiom,
% 224.83/225.08 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__measures_I1_J,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measures__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measures__less,axiom,
% 224.83/225.08 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__measures_I2_J,axiom,
% 224.83/225.08 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 <=> ( 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)))
% 224.83/225.08 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 224.83/225.08 & 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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_foldl__apply,axiom,
% 224.83/225.08 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => 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)) )
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_order__fun_I2_J,axiom,
% 224.83/225.08 ! [V_g_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( ( class_Orderings_Oorder(T_c)
% 224.83/225.08 & class_Enum_Oenum(T_b) )
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.83/225.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.83/225.08 & 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)))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_enum__ex__prod__def,axiom,
% 224.83/225.08 ! [V_P_2,T_b,T_c] :
% 224.83/225.08 ( ( class_Enum_Oenum(T_c)
% 224.83/225.08 & class_Enum_Oenum(T_b) )
% 224.83/225.08 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 224.83/225.08 <=> 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))))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_exists__code,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ( class_Enum_Oenum(T_b)
% 224.83/225.08 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.08 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_enum__ex,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ( class_Enum_Oenum(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 224.83/225.08 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__obtain__same__length,axiom,
% 224.83/225.08 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 224.83/225.08 ( ( 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))
% 224.83/225.08 => 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)))) )
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__not__random__dseq__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_dropWhile__append2,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all2__all__nthI,axiom,
% 224.83/225.08 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 => ( ! [B_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => 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))) )
% 224.83/225.08 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_finite__sorted__distinct__unique,axiom,
% 224.83/225.08 ! [V_A_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => ? [B_x] :
% 224.83/225.08 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 224.83/225.08 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 224.83/225.08 & ! [B_y] :
% 224.83/225.08 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 224.83/225.08 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 224.83/225.08 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 224.83/225.08 => B_y = B_x ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_takeWhile__append2,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_insort__is__Cons,axiom,
% 224.83/225.08 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_c)
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__eq__Cons__iff,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ? [B_us,B_vs] :
% 224.83/225.08 ( 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))
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 & hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Cons__eq__filter__iff,axiom,
% 224.83/225.08 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ? [B_us,B_vs] :
% 224.83/225.08 ( 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))
% 224.83/225.08 & ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 224.83/225.08 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 & hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_order__fun_I1_J,axiom,
% 224.83/225.08 ! [V_g_2,V_f_2,T_b,T_c] :
% 224.83/225.08 ( ( class_Orderings_Oorder(T_c)
% 224.83/225.08 & class_Enum_Oenum(T_b) )
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 224.83/225.08 <=> 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_enum__all,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ( class_Enum_Oenum(T_b)
% 224.83/225.08 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 224.83/225.08 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_all__code,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ( class_Enum_Oenum(T_b)
% 224.83/225.08 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 224.83/225.08 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_enum__all__prod__def,axiom,
% 224.83/225.08 ! [V_P_2,T_b,T_c] :
% 224.83/225.08 ( ( class_Enum_Oenum(T_c)
% 224.83/225.08 & class_Enum_Oenum(T_b) )
% 224.83/225.08 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 224.83/225.08 <=> 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))))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ball__nth,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_sorted_OCons,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( class_Orderings_Olinorder(T_b)
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 224.83/225.08 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 224.83/225.08 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__length,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ? [B_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__conv__decomp,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 <=> ? [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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__simps_I2_J,axiom,
% 224.83/225.08 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__append,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 224.83/225.08 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 224.83/225.08 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__iff,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__rev,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 224.83/225.08 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__simps_I1_J,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 224.83/225.08 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__conv__decomp__first,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 <=> ? [B_ys] :
% 224.83/225.08 ( ? [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))
% 224.83/225.08 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__conv__decomp__last,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 <=> ? [B_ys,B_zs] :
% 224.83/225.08 ( 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))
% 224.83/225.08 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__length,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ! [B_n] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measure__function__int,axiom,
% 224.83/225.08 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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__simps_I2_J,axiom,
% 224.83/225.08 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__append,axiom,
% 224.83/225.08 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 224.83/225.08 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 224.83/225.08 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measure__size,axiom,
% 224.83/225.08 ! [T_b] :
% 224.83/225.08 ( class_Nat_Osize(T_b)
% 224.83/225.08 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_is__measure_Ointros,axiom,
% 224.83/225.08 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_is__measure_Oequations,axiom,
% 224.83/225.08 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_is__measure_Osimps,axiom,
% 224.83/225.08 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__iff,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measure__fst,axiom,
% 224.83/225.08 ! [T_c,V_f_2,T_b] :
% 224.83/225.08 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_measure__snd,axiom,
% 224.83/225.08 ! [T_c,V_f_2,T_b] :
% 224.83/225.08 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__rev,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 224.83/225.08 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__simps_I1_J,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 224.83/225.08 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Ball__set__list__all,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__iff__raw,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex1__simps_I2_J,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 224.83/225.08 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transfer__morphism__int__nat,axiom,
% 224.83/225.08 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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex1__simps_I1_J,axiom,
% 224.83/225.08 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_bool_Osize_I4_J,axiom,
% 224.83/225.08 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_bool_Osize_I3_J,axiom,
% 224.83/225.08 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex1__iff,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.08 & ! [B_y] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_y)) )
% 224.83/225.08 => B_y = B_x ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 224.83/225.08 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 224.83/225.08 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 224.83/225.08 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 224.83/225.08 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 224.83/225.08 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__empty__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_neg__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_neg__map__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_neg__single__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__bind__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__map__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__single__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__splice,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_splice_Osimps_I3_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_splice__Nil2,axiom,
% 224.83/225.08 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 224.83/225.08
% 224.83/225.08 fof(fact_splice_Osimps_I1_J,axiom,
% 224.83/225.08 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 224.83/225.08
% 224.83/225.08 fof(fact_splice_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__single__def,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_acyclicP__converse,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_converse__meet,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep__eq,axiom,
% 224.83/225.08 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep__conversep,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep__iff,axiom,
% 224.83/225.08 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep_Oequations,axiom,
% 224.83/225.08 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep_Ointros,axiom,
% 224.83/225.08 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversepD,axiom,
% 224.83/225.08 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 224.83/225.08 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep__noteq,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> V_x_2 != V_y_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_converse__pred__comp,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_converse__join,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_conversep__converse__eq,axiom,
% 224.83/225.08 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_tl__replicate,axiom,
% 224.83/225.08 ! [V_x,T_a,V_n] :
% 224.83/225.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__length__filter,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_length__replicate,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__replicate__const,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__app__Cons__same,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__Suc,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_rev__replicate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_drop__replicate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_hd__replicate,axiom,
% 224.83/225.08 ! [V_x,T_a,V_n] :
% 224.83/225.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_take__replicate,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_last__replicate,axiom,
% 224.83/225.08 ! [V_x,T_a,V_n] :
% 224.83/225.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_zip__replicate,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Ball__set__replicate,axiom,
% 224.83/225.08 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.08 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Bex__set__replicate,axiom,
% 224.83/225.08 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 224.83/225.08 ( ? [B_x] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 224.83/225.08 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__eq__replicate,axiom,
% 224.83/225.08 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 224.83/225.08 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 224.83/225.08 <=> ( V_m_2 = V_n_2
% 224.83/225.08 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => V_x_2 = V_y_2 ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_nth__replicate,axiom,
% 224.83/225.08 ! [V_x,T_a,V_n,V_i] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 224.83/225.08 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_append__replicate__commute,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__add,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_filter__replicate,axiom,
% 224.83/225.08 ! [V_n_2,T_b,V_x_2,V_P_2] :
% 224.83/225.08 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 224.83/225.08 => 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) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_concat__replicate__trivial,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__empty,axiom,
% 224.83/225.08 ! [V_x_2,V_n_2,T_b] :
% 224.83/225.08 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 224.83/225.08 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_empty__replicate,axiom,
% 224.83/225.08 ! [V_x_2,V_n_2,T_b] :
% 224.83/225.08 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 224.83/225.08 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__0,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__replicate,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__replicate,axiom,
% 224.83/225.08 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))))
% 224.83/225.08 <=> ( V_x_2 = V_y_2
% 224.83/225.08 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_replicate__append__same,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_map__replicate__trivial,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__replicate__conv__if,axiom,
% 224.83/225.08 ! [V_x_2,T_b,V_n_2] :
% 224.83/225.08 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__replicate,axiom,
% 224.83/225.08 ! [V_x_2,T_b,V_n_2] :
% 224.83/225.08 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_set__replicate__Suc,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy__list_Osimps,axiom,
% 224.83/225.08 ! [V_d_2,T_b] :
% 224.83/225.08 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 224.83/225.08 => 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)))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_eq__comp__r,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy__prod__def,axiom,
% 224.83/225.08 ! [V_d,T_b,T_a] :
% 224.83/225.08 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 224.83/225.08 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_New__DSequence_Opos__union__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact__01,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Oinject,axiom,
% 224.83/225.08 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 224.83/225.08 ( 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)
% 224.83/225.08 <=> ( V_a_2 = V_a_H_2
% 224.83/225.08 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_pos__union__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 224.83/225.08 ! [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))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy_H_Osimps,axiom,
% 224.83/225.08 ! [V_i,V_d] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 224.83/225.08 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 224.83/225.08 => 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)))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy_H_Opsimps,axiom,
% 224.83/225.08 ! [V_i_2,V_d_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 224.83/225.08 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 224.83/225.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 224.83/225.08 => 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)))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy__int__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_small__lazy_H_Opinduct,axiom,
% 224.83/225.08 ! [V_P_2,V_a1_2,V_a0_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ! [B_d,B_i] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 224.83/225.08 => 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)))) )
% 224.83/225.08 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 224.83/225.08 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_size__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence__size__code,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_seq__case,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_yieldn__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_refl__on__INTER,axiom,
% 224.83/225.08 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 224.83/225.08 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_List_Omember__def,axiom,
% 224.83/225.08 ! [V_x_2,V_xs_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_member__rec_I2_J,axiom,
% 224.83/225.08 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_member__set,axiom,
% 224.83/225.08 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_member__rec_I1_J,axiom,
% 224.83/225.08 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 <=> ( V_x_2 = V_y_2
% 224.83/225.08 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_in__set__member,axiom,
% 224.83/225.08 ! [V_xs_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex1__iff__raw,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.08 & ! [B_y] :
% 224.83/225.08 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_y)) )
% 224.83/225.08 => B_y = B_x ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_setsum__UNION__zero,axiom,
% 224.83/225.08 ! [V_f_2,V_S_2,T_b,T_c] :
% 224.83/225.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 224.83/225.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 224.83/225.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 224.83/225.08 => ( ! [B_T1] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 224.83/225.08 => ! [B_T2] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 224.83/225.08 => ( B_T1 != B_T2
% 224.83/225.08 => ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 224.83/225.08 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 224.83/225.08 => 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) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_THE__default__def,axiom,
% 224.83/225.08 ! [V_d_2,T_b,V_P_2] :
% 224.83/225.08 ( ( ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.08 & ! [B_y] :
% 224.83/225.08 ( hBOOL(hAPP(V_P_2,B_y))
% 224.83/225.08 => B_y = B_x ) )
% 224.83/225.08 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 224.83/225.08 & ( ~ ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(V_P_2,B_x))
% 224.83/225.08 & ! [B_y] :
% 224.83/225.08 ( hBOOL(hAPP(V_P_2,B_y))
% 224.83/225.08 => B_y = B_x ) )
% 224.83/225.08 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_SUP2__E,axiom,
% 224.83/225.08 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => ~ ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.08 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_INF2__I,axiom,
% 224.83/225.08 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 224.83/225.08 ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.08 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_finite__maxlen,axiom,
% 224.83/225.08 ! [V_M_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 224.83/225.08 => ? [B_n] :
% 224.83/225.08 ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact__02,axiom,
% 224.83/225.08 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 224.83/225.08 ! [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) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__all__iff__all__interval__int,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2,V_P_2] :
% 224.83/225.08 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 224.83/225.08 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2,V_P_2] :
% 224.83/225.08 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 224.83/225.08 <=> ~ 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) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_all__interval__int__def,axiom,
% 224.83/225.08 ! [V_j_2,V_i_2,V_P_2] :
% 224.83/225.08 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 224.83/225.08 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Random_Osimps,axiom,
% 224.83/225.08 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 224.83/225.08 ( ( 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)))
% 224.83/225.08 => 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)) )
% 224.83/225.08 & ( ~ 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)))
% 224.83/225.08 => 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))))))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 224.83/225.08 ! [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 ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Random__Sequence_Oempty__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Random__Sequence_Osingle__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Random__Sequence_Omap__def,axiom,
% 224.83/225.08 ! [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)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_exE__realizer,axiom,
% 224.83/225.08 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 224.83/225.08 ( 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)))
% 224.83/225.08 => ( ! [B_x,B_y] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 224.83/225.08 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 224.83/225.08 => 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))) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Image__Collect__split,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__trans,axiom,
% 224.83/225.08 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 224.83/225.08 => ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__less__than,axiom,
% 224.83/225.08 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__lex__prod,axiom,
% 224.83/225.08 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_R1_2)
% 224.83/225.08 => ( c_Relation_Otrans(T_c,V_R2_2)
% 224.83/225.08 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transD,axiom,
% 224.83/225.08 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => ( 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))
% 224.83/225.08 => ( 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))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__def,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 <=> ! [B_x,B_y] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => ! [B_z] :
% 224.83/225.08 ( 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))
% 224.83/225.08 => 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)) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__O__subset,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => 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)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__rtrancl,axiom,
% 224.83/225.08 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__Id,axiom,
% 224.83/225.08 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__trancl,axiom,
% 224.83/225.08 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trancl__id,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__Id__on,axiom,
% 224.83/225.08 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__finite__psubset,axiom,
% 224.83/225.08 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_lexord__transI,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_listrel__trans,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_bex__empty,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ~ ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__converse,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.08 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_finite__Collect__bex,axiom,
% 224.83/225.08 ! [V_Q_2,T_c,V_A_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 224.83/225.08 => ( 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)))))
% 224.83/225.08 <=> ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 224.83/225.08 => 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)))) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_bex__UNIV,axiom,
% 224.83/225.08 ! [V_P_2,T_b] :
% 224.83/225.08 ( ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__Int,axiom,
% 224.83/225.08 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => ( c_Relation_Otrans(T_b,V_s_2)
% 224.83/225.08 => 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)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_SUPR__bool__eq,axiom,
% 224.83/225.08 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__reflclI,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_trans__inv__image,axiom,
% 224.83/225.08 ! [V_f_2,T_c,V_r_2,T_b] :
% 224.83/225.08 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.08 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Union__eq,axiom,
% 224.83/225.08 ! [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)))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_list__ex__iff__raw,axiom,
% 224.83/225.08 ! [V_xs_2,V_P_2,T_b] :
% 224.83/225.08 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 224.83/225.08 <=> ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Bex__set__list__ex,axiom,
% 224.83/225.08 ! [V_P_2,V_xs_2,T_b] :
% 224.83/225.08 ( ? [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 224.83/225.08 & hBOOL(hAPP(V_P_2,B_x)) )
% 224.83/225.08 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_UN__eq,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_INT__eq,axiom,
% 224.83/225.08 ! [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))))) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Sup__fun__def,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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)))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Sup__apply,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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)))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Inf__fun__def,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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)))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_Inf__apply,axiom,
% 224.83/225.08 ! [V_x_2,V_A_2,T_c,T_b] :
% 224.83/225.08 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 224.83/225.08 => 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)))))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_max__extp_Ointros,axiom,
% 224.83/225.08 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 224.83/225.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 224.83/225.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 224.83/225.08 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.08 => ( ! [B_x] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 224.83/225.08 => ? [B_xa] :
% 224.83/225.08 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 224.83/225.08 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 224.83/225.08 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transp__def,axiom,
% 224.83/225.08 ! [V_r_2,T_b] :
% 224.83/225.08 ( c_Predicate_Otransp(T_b,V_r_2)
% 224.83/225.08 <=> 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))) ) ).
% 224.83/225.08
% 224.83/225.08 fof(fact_transpE,axiom,
% 224.83/225.08 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Predicate_Otransp(T_b,V_r_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 224.83/225.09 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivp__reflp__symp__transp,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.09 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 224.83/225.09 & c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivpI,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Predicate_Oreflp(T_b,V_R_2)
% 224.83/225.09 => ( c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 => ( c_Predicate_Otransp(T_b,V_R_2)
% 224.83/225.09 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sympE,axiom,
% 224.83/225.09 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Predicate_Osymp(T_b,V_r_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 224.83/225.09 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivpE,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.09 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 224.83/225.09 => ( c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_max__extp_Osimps,axiom,
% 224.83/225.09 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 224.83/225.09 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 224.83/225.09 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 224.83/225.09 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 224.83/225.09 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 224.83/225.09 & ! [B_x] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 224.83/225.09 => ? [B_xa] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 224.83/225.09 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_trans__diff__Id,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.09 => ( c_Relation_Oantisym(T_b,V_r_2)
% 224.83/225.09 => 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))) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__converse,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.09 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__empty,axiom,
% 224.83/225.09 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__Id,axiom,
% 224.83/225.09 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__Id__on,axiom,
% 224.83/225.09 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__subset,axiom,
% 224.83/225.09 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => ( c_Relation_Oantisym(T_b,V_s_2)
% 224.83/225.09 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisymD,axiom,
% 224.83/225.09 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Oantisym(T_b,V_r_2)
% 224.83/225.09 => ( 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))
% 224.83/225.09 => ( 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))
% 224.83/225.09 => V_a_2 = V_b_2 ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__def,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Oantisym(T_b,V_r_2)
% 224.83/225.09 <=> ! [B_x,B_y] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => ( 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))
% 224.83/225.09 => B_x = B_y ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_antisym__reflcl,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( 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)))
% 224.83/225.09 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 224.83/225.09 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_fun__lub__def,axiom,
% 224.83/225.09 ! [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)))))) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__trans__comp__subset,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.09 => 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)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_symD,axiom,
% 224.83/225.09 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ( 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))
% 224.83/225.09 => 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)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__def,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 <=> ! [B_x,B_y] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => 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)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__rtrancl,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Id,axiom,
% 224.83/225.09 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Un,axiom,
% 224.83/225.09 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ( c_Relation_Osym(T_b,V_s_2)
% 224.83/225.09 => 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)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__trancl,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Id__on,axiom,
% 224.83/225.09 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_listrel__sym,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__converse,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 224.83/225.09 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__conv__converse__eq,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Int,axiom,
% 224.83/225.09 ! [V_s_2,V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ( c_Relation_Osym(T_b,V_s_2)
% 224.83/225.09 => 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)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Un__converse,axiom,
% 224.83/225.09 ! [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))) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__inv__image,axiom,
% 224.83/225.09 ! [V_f_2,T_c,V_r_2,T_b] :
% 224.83/225.09 ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_sym__Int__converse,axiom,
% 224.83/225.09 ! [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))) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equiv__def,axiom,
% 224.83/225.09 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.09 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.09 & c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivI,axiom,
% 224.83/225.09 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.09 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.09 => ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ( c_Relation_Otrans(T_b,V_r_2)
% 224.83/225.09 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivE,axiom,
% 224.83/225.09 ! [V_r_2,V_A_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 224.83/225.09 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 224.83/225.09 => ( c_Relation_Osym(T_b,V_r_2)
% 224.83/225.09 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_symp__def,axiom,
% 224.83/225.09 ! [V_r_2,T_b] :
% 224.83/225.09 ( c_Predicate_Osymp(T_b,V_r_2)
% 224.83/225.09 <=> 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))) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivp__refl__symp__transp,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 224.83/225.09 & c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivpI,axiom,
% 224.83/225.09 ! [T_b,V_R_2] :
% 224.83/225.09 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 224.83/225.09 => ( c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 => ( c_Predicate_Otransp(T_b,V_R_2)
% 224.83/225.09 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_equivp__implies__part__equivp,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 224.83/225.09 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivp__def,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 224.83/225.09 & ! [B_x,B_y] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 224.83/225.09 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 224.83/225.09 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 224.83/225.09 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivp__symp,axiom,
% 224.83/225.09 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 224.83/225.09 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivp__transp,axiom,
% 224.83/225.09 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 224.83/225.09 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivpE,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 224.83/225.09 => ( c_Predicate_Osymp(T_b,V_R_2)
% 224.83/225.09 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_part__equivp__typedef,axiom,
% 224.83/225.09 ! [V_R_2,T_b] :
% 224.83/225.09 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 224.83/225.09 => ? [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))))) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__o__cancel,axiom,
% 224.83/225.09 ! [V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inj__iff,axiom,
% 224.83/225.09 ! [V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 <=> 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) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__def,axiom,
% 224.83/225.09 ! [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)) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__id,axiom,
% 224.83/225.09 ! [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) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__f__f,axiom,
% 224.83/225.09 ! [V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__f__eq,axiom,
% 224.83/225.09 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 224.83/225.09 => 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 ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__f__f,axiom,
% 224.83/225.09 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.09 => 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 ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__f__eq,axiom,
% 224.83/225.09 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 224.83/225.09 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 224.83/225.09 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__injective,axiom,
% 224.83/225.09 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 224.83/225.09 ( 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)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 224.83/225.09 => V_x_2 = V_y_2 ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__into,axiom,
% 224.83/225.09 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 224.83/225.09 => 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)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_f__inv__into__f,axiom,
% 224.83/225.09 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_image__surj__f__inv__f,axiom,
% 224.83/225.09 ! [V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_surj__f__inv__f,axiom,
% 224.83/225.09 ! [V_y_2,V_f_2,T_b,T_c] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_surj__iff__all,axiom,
% 224.83/225.09 ! [V_f_2,T_b,T_c] :
% 224.83/225.09 ( 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))
% 224.83/225.09 <=> ! [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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_image__inv__into__cancel,axiom,
% 224.83/225.09 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 224.83/225.09 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 224.83/225.09 => 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 ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__def,axiom,
% 224.83/225.09 ! [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))) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_o__inv__o__cancel,axiom,
% 224.83/225.09 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inj__imp__surj__inv,axiom,
% 224.83/225.09 ! [V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_image__inv__f__f,axiom,
% 224.83/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__image__comp,axiom,
% 224.83/225.09 ! [V_X_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => 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 ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_surj__imp__inj__inv,axiom,
% 224.83/225.09 ! [V_f_2,T_b,T_c] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => 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))) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inj__on__inv__into,axiom,
% 224.83/225.09 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 224.83/225.09 ( 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)))
% 224.83/225.09 => 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) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__image__cancel,axiom,
% 224.83/225.09 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 224.83/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 224.83/225.09 => 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 ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inv__into__comp,axiom,
% 224.83/225.09 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 224.83/225.09 ( 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))
% 224.83/225.09 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 224.83/225.09 => ( 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))))
% 224.83/225.09 => 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) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_surj__iff,axiom,
% 224.83/225.09 ! [V_f_2,T_b,T_c] :
% 224.83/225.09 ( 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))
% 224.83/225.09 <=> 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) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_inj__transfer,axiom,
% 224.83/225.09 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] :
% 224.83/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 224.83/225.09 => ( ! [B_y] :
% 224.83/225.09 ( 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)))))
% 224.83/225.09 => 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))) )
% 224.83/225.09 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_fold__image__UN__disjoint,axiom,
% 224.83/225.09 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 224.83/225.09 ( class_Groups_Ocomm__monoid__mult(T_d)
% 224.83/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 224.83/225.09 => ( ! [B_x] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 224.83/225.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 224.83/225.09 => ( ! [B_x] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 224.83/225.09 => ! [B_xa] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 224.83/225.09 => ( B_x != B_xa
% 224.83/225.09 => 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)) ) ) )
% 224.83/225.09 => 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) ) ) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_nat__of__cases,axiom,
% 224.83/225.09 ! [V_y_2] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.09 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_nat__of__induct,axiom,
% 224.83/225.09 ! [V_P_2,V_y_2] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.09 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 224.83/225.09 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_of__nat__cases,axiom,
% 224.83/225.09 ! [V_x_2] :
% 224.83/225.09 ~ ! [B_y] :
% 224.83/225.09 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 224.83/225.09 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_of__nat__induct,axiom,
% 224.83/225.09 ! [V_x_2,V_P_2] :
% 224.83/225.09 ( ! [B_y] :
% 224.83/225.09 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 224.83/225.09 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 224.83/225.09 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 224.83/225.09
% 224.83/225.09 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 224.83/225.09 ! [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 ).
% 225.11/225.09
% 225.11/225.09 fof(fact_beyond__def,axiom,
% 225.11/225.09 ! [V_l,V_k] :
% 225.11/225.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 225.11/225.09 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 225.11/225.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 225.11/225.09 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_beyond__zero,axiom,
% 225.11/225.09 ! [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) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__image__Collect__eq,axiom,
% 225.11/225.09 ! [V_P_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curry__def,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curryI,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 225.11/225.09 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__id,axiom,
% 225.11/225.09 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__inv__into,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => 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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_inv__into__inv__into__eq,axiom,
% 225.11/225.09 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 225.11/225.09 => 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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_inv__inv__eq,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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 ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__imp__bij__inv,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_o__inv__distrib,axiom,
% 225.11/225.09 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( 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)))
% 225.11/225.09 => 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)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__image__INT,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__comp__iff2,axiom,
% 225.11/225.09 ! [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] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 225.11/225.09 <=> 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) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__comp__iff,axiom,
% 225.11/225.09 ! [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] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 225.11/225.09 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 225.11/225.09 <=> 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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__trans,axiom,
% 225.11/225.09 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 225.11/225.09 => 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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__comp,axiom,
% 225.11/225.09 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( 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)))
% 225.11/225.09 => 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curryE,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 225.11/225.09 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curryD,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 225.11/225.09 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curry__conv,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_finite__vimage__iff,axiom,
% 225.11/225.09 ! [V_F_2,V_h_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 225.11/225.09 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__image__Compl__eq,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__subset,axiom,
% 225.11/225.09 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 225.11/225.09 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 225.11/225.09 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__is__surj,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__imp__surj,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_inj__on__imp__bij__betw,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__def,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 225.11/225.09 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__imp__inj__on,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__is__inj,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__same__card,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__the__inv__into,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => 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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__empty1,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)
% 225.11/225.09 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__empty2,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_BIJ,axiom,
% 225.11/225.09 ! [V_B_2,T_c,V_A_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 225.11/225.09 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 225.11/225.09 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__finite,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 225.11/225.09 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__id__iff,axiom,
% 225.11/225.09 ! [V_B_2,V_A_2,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 225.11/225.09 <=> V_A_2 = V_B_2 ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__id,axiom,
% 225.11/225.09 ! [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))) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__combine,axiom,
% 225.11/225.09 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 225.11/225.09 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => 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)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__betw__Disj__Un,axiom,
% 225.11/225.09 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => ( 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))
% 225.11/225.09 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 225.11/225.09 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 225.11/225.09 => 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)) ) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bijI,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 225.11/225.09 => ( 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))
% 225.11/225.09 => 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__def,axiom,
% 225.11/225.09 ! [V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 225.11/225.09 & 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)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_curry__split,axiom,
% 225.11/225.09 ! [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 ).
% 225.11/225.09
% 225.11/225.09 fof(fact_split__curry,axiom,
% 225.11/225.09 ! [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 ).
% 225.11/225.09
% 225.11/225.09 fof(fact_vimage__subset__eq,axiom,
% 225.11/225.09 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( 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))
% 225.11/225.09 <=> 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bij__vimage__eq__inv__image,axiom,
% 225.11/225.09 ! [V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => 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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 225.11/225.09 ! [V_M_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 225.11/225.09 => ? [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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_Cantor__Bernstein,axiom,
% 225.11/225.09 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_ex__bij__betw__nat__finite,axiom,
% 225.11/225.09 ! [V_M_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 225.11/225.09 => ? [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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_ex__bij__betw__finite__nat,axiom,
% 225.11/225.09 ! [V_M_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 225.11/225.09 => ? [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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_refl__on__UNION,axiom,
% 225.11/225.09 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 225.11/225.09 ( ! [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 225.11/225.09 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bex__reg__eqv,axiom,
% 225.11/225.09 ! [V_P_2,V_R_2,T_b] :
% 225.11/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 225.11/225.09 => ( ? [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 225.11/225.09 & hBOOL(hAPP(V_P_2,B_x)) )
% 225.11/225.09 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_in__respects,axiom,
% 225.11/225.09 ! [V_R_2,V_x_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_Respects__def,axiom,
% 225.11/225.09 ! [V_x_2,V_R_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_bex__reg__right,axiom,
% 225.11/225.09 ! [V_P_2,V_Q_2,V_R_2,T_b] :
% 225.11/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 225.11/225.09 => ( ! [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(V_Q_2,B_x))
% 225.11/225.09 => hBOOL(hAPP(V_P_2,B_x)) )
% 225.11/225.09 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 225.11/225.09 => ? [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 225.11/225.09 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_babs__reg__eqv,axiom,
% 225.11/225.09 ! [V_P_2,T_c,V_R_2,T_b] :
% 225.11/225.09 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 225.11/225.09 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_Babs__def,axiom,
% 225.11/225.09 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 225.11/225.09 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_wf__weak__decr__stable,axiom,
% 225.11/225.09 ! [V_r_2,V_f_2,T_b] :
% 225.11/225.09 ( ! [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)))
% 225.11/225.09 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 225.11/225.09 => ? [B_i] :
% 225.11/225.09 ! [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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_INT__greatest,axiom,
% 225.11/225.09 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 225.11/225.09 ( ! [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 225.11/225.09 => 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))) )
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_INT__anti__mono,axiom,
% 225.11/225.09 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 225.11/225.09 => ( ! [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 225.11/225.09 => 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))) )
% 225.11/225.09 => 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_rtrancl__induct2,axiom,
% 225.11/225.09 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))
% 225.11/225.09 => ( ! [B_a,B_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ! [B_aa,B_ba] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))
% 225.11/225.09 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) )
% 225.11/225.09 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_converse__rtranclE2,axiom,
% 225.11/225.09 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( 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)
% 225.11/225.09 => ~ ! [B_a,B_b] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => ~ 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_converse__rtrancl__induct2,axiom,
% 225.11/225.09 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))
% 225.11/225.09 => ( ! [B_a,B_b,B_aa,B_ba] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))
% 225.11/225.09 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) )
% 225.11/225.09 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_congruent2I_H,axiom,
% 225.11/225.09 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 225.11/225.09 ( ! [B_y1,B_z1] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => ! [B_y2,B_z2] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 225.11/225.09 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_congruentI,axiom,
% 225.11/225.09 ! [T_c,V_f_2,V_r_2,T_b] :
% 225.11/225.09 ( ! [B_y,B_z] :
% 225.11/225.09 ( 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))
% 225.11/225.09 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 225.11/225.09 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact__03,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_all__interval__nat__def,axiom,
% 225.11/225.09 ! [V_j_2,V_i_2,V_P_2] :
% 225.11/225.09 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2)
% 225.11/225.09 <=> ! [B_x] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact__04,axiom,
% 225.11/225.09 ! [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) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_list__all__iff__all__interval__nat,axiom,
% 225.11/225.09 ! [V_j_2,V_i_2,V_P_2] :
% 225.11/225.09 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 225.11/225.09 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 225.11/225.09 ! [V_j_2,V_i_2,V_P_2] :
% 225.11/225.09 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 225.11/225.09 <=> ~ 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) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact__05,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_folding__image_Ocong,axiom,
% 225.11/225.09 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 225.11/225.09 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 225.11/225.09 => ( ! [B_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 225.11/225.09 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 225.11/225.09 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact__06,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact__07,axiom,
% 225.11/225.09 ! [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) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_New__DSequence_Opos__map__def,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_power__dvd__imp__le,axiom,
% 225.11/225.09 ! [V_n,V_m,V_i] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oorder__refl,axiom,
% 225.11/225.09 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__0__right,axiom,
% 225.11/225.09 ! [V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__1__left,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__imp__le,axiom,
% 225.11/225.09 ! [V_n,V_k] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_nat__mult__dvd__cancel1,axiom,
% 225.11/225.09 ! [V_n_2,V_m_2,V_k_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 225.11/225.09 => ( 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)))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__cancel,axiom,
% 225.11/225.09 ! [V_n,V_m,V_k] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_setprod__dvd__setprod__subset,axiom,
% 225.11/225.09 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 225.11/225.09 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 225.11/225.09 & class_Rings_Odvd(T_c) )
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 225.11/225.09 => 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_inf__period_I4_J,axiom,
% 225.11/225.09 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 225.11/225.09 ( ( class_Rings_Ocomm__ring(T_b)
% 225.11/225.09 & class_Rings_Odvd(T_b) )
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 225.11/225.09 => ! [B_x,B_k] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_inf__period_I3_J,axiom,
% 225.11/225.09 ! [V_ta_2,V_D_2,V_d_2,T_b] :
% 225.11/225.09 ( ( class_Rings_Ocomm__ring(T_b)
% 225.11/225.09 & class_Rings_Odvd(T_b) )
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 225.11/225.09 => ! [B_x,B_k] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__div__eq__mult,axiom,
% 225.11/225.09 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_b)
% 225.11/225.09 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 225.11/225.09 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 225.11/225.09 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__div__div__eq__mult,axiom,
% 225.11/225.09 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_b)
% 225.11/225.09 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 225.11/225.09 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 225.11/225.09 => ( 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)
% 225.11/225.09 <=> 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) ) ) ) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 225.11/225.09 ! [V_n_2,V_m_2,V_k_2] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__cancel__right,axiom,
% 225.11/225.09 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 225.11/225.09 ( class_Rings_Oidom(T_b)
% 225.11/225.09 => ( 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)))
% 225.11/225.09 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__cancel__left,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 225.11/225.09 ( class_Rings_Oidom(T_b)
% 225.11/225.09 => ( 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)))
% 225.11/225.09 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__right,axiom,
% 225.11/225.09 ! [V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__left,axiom,
% 225.11/225.09 ! [V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( 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))
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvdI,axiom,
% 225.11/225.09 ! [V_k,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Odvd(T_a)
% 225.11/225.09 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_mult__dvd__mono,axiom,
% 225.11/225.09 ! [V_d,V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 225.11/225.09 => 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult,axiom,
% 225.11/225.09 ! [V_b,V_c,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 225.11/225.09 => 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult2,axiom,
% 225.11/225.09 ! [V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => 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))) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__triv__right,axiom,
% 225.11/225.09 ! [V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__triv__left,axiom,
% 225.11/225.09 ! [V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_div__mult__div__if__dvd,axiom,
% 225.11/225.09 ! [V_w,V_z,V_x,V_y,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 225.11/225.09 => 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)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__div__mult,axiom,
% 225.11/225.09 ! [V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => 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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__div__mult__self,axiom,
% 225.11/225.09 ! [V_b,V_a,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => 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 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_div__mult__swap,axiom,
% 225.11/225.09 ! [V_a,V_b,V_c,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 225.11/225.09 => 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) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__mult__div__cancel,axiom,
% 225.11/225.09 ! [V_b,V_a,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => 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 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_unity__coeff__ex,axiom,
% 225.11/225.09 ! [V_l_2,V_P_2,T_b] :
% 225.11/225.09 ( ( class_Rings_Odvd(T_b)
% 225.11/225.09 & class_Rings_Osemiring__0(T_b) )
% 225.11/225.09 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 225.11/225.09 <=> ? [B_x] :
% 225.11/225.09 ( 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))))
% 225.11/225.09 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__setprod,axiom,
% 225.11/225.09 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_c)
% 225.11/225.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 225.11/225.09 => 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 225.11/225.09 ! [V_c_2,V_b_2,V_a_2] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> ( V_a_2 = V_b_2
% 225.11/225.09 & V_b_2 = V_c_2 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 225.11/225.09 ! [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))) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2] :
% 225.11/225.09 ( V_a_2 = V_b_2
% 225.11/225.09 => 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))) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2] :
% 225.11/225.09 ( 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)
% 225.11/225.09 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 225.11/225.09 ! [V_l_2,V_k_2] :
% 225.11/225.09 ( 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)
% 225.11/225.09 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2] :
% 225.11/225.09 ( 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))
% 225.11/225.09 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 225.11/225.09 ! [V_l_2,V_k_2] :
% 225.11/225.09 ( 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))
% 225.11/225.09 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 225.11/225.09 ! [V_k_2,V_l_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 225.11/225.09 ! [V_a_2,V_b_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 225.11/225.09 ! [V_k_2,V_l_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2] :
% 225.11/225.09 ( 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)
% 225.11/225.09 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 225.11/225.09 ! [V_b_2,V_a_2] :
% 225.11/225.09 ( 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))
% 225.11/225.09 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 225.11/225.09 ! [V_a_2,V_b_2] :
% 225.11/225.09 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 225.11/225.09 => 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)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__1__iff__1,axiom,
% 225.11/225.09 ! [V_m_2] :
% 225.11/225.09 ( 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))))
% 225.11/225.09 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_div__power,axiom,
% 225.11/225.09 ! [V_n,V_x,V_y,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 225.11/225.09 => 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)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_div__add,axiom,
% 225.11/225.09 ! [V_y,V_x,V_z,T_a] :
% 225.11/225.09 ( class_Divides_Osemiring__div(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 225.11/225.09 => 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)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 225.11/225.09 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 225.11/225.09 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 225.11/225.09 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 225.11/225.09 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 225.11/225.09 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 225.11/225.09 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__add,axiom,
% 225.11/225.09 ! [V_c,V_b,V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 225.11/225.09 => 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))) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__reduce,axiom,
% 225.11/225.09 ! [V_n_2,V_k_2] :
% 225.11/225.09 ( 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)))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__if__abs__eq,axiom,
% 225.11/225.09 ! [V_k,V_l,T_a] :
% 225.11/225.09 ( class_Rings_Olinordered__idom(T_a)
% 225.11/225.09 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_abs__dvd__iff,axiom,
% 225.11/225.09 ! [V_k_2,V_m_2,T_b] :
% 225.11/225.09 ( class_Rings_Olinordered__idom(T_b)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__abs__iff,axiom,
% 225.11/225.09 ! [V_k_2,V_m_2,T_b] :
% 225.11/225.09 ( class_Rings_Olinordered__idom(T_b)
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 225.11/225.09 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd__refl,axiom,
% 225.11/225.09 ! [V_a,T_a] :
% 225.11/225.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oeq__iff,axiom,
% 225.11/225.09 ! [V_y_2,V_x_2] :
% 225.11/225.09 ( V_x_2 = V_y_2
% 225.11/225.09 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Ole__less,axiom,
% 225.11/225.09 ! [V_y_2,V_x_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 225.11/225.09 | V_x_2 = V_y_2 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oless__le,axiom,
% 225.11/225.09 ! [V_y_2,V_x_2] :
% 225.11/225.09 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 225.11/225.09 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 & V_x_2 != V_y_2 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oneq__le__trans,axiom,
% 225.11/225.09 ! [V_b,V_a] :
% 225.11/225.09 ( V_a != V_b
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oeq__refl,axiom,
% 225.11/225.09 ! [V_y,V_x] :
% 225.11/225.09 ( V_x = V_y
% 225.11/225.09 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Oantisym__conv,axiom,
% 225.11/225.09 ! [V_x_2,V_y_2] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 225.11/225.09 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 225.11/225.09 <=> V_x_2 = V_y_2 ) ) ).
% 225.11/225.09
% 225.11/225.09 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 225.11/225.09 ! [V_y,V_x] :
% 225.11/225.09 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 225.11/225.09 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 225.11/225.09 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 225.11/225.09 | V_x = V_y ) ) ).
% 225.11/225.09
% 225.11/225.09 %----Arity declarations (222)
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 225.11/225.09 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Obounded__lattice(T_1)
% 225.11/225.09 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 225.11/225.09 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Obounded__lattice(T_1)
% 225.11/225.09 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Obounded__lattice(T_1)
% 225.11/225.09 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Olattice(T_1)
% 225.11/225.09 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Olattice(T_1)
% 225.11/225.09 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Odistrib__lattice(T_1)
% 225.11/225.09 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Oboolean__algebra(T_1)
% 225.11/225.09 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Orderings_Opreorder,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Orderings_Opreorder(T_1)
% 225.11/225.09 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Finite__Set_Ofinite(T_2)
% 225.11/225.09 & class_Finite__Set_Ofinite(T_1) )
% 225.11/225.09 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Lattices_Olattice,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Lattices_Olattice(T_1)
% 225.11/225.09 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Orderings_Oorder,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Orderings_Oorder(T_1)
% 225.11/225.09 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Orderings_Otop,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Orderings_Otop(T_1)
% 225.11/225.09 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Orderings_Oord,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Orderings_Oord(T_1)
% 225.11/225.09 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Orderings_Obot,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Orderings_Obot(T_1)
% 225.11/225.09 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Groups_Ouminus,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Groups_Ouminus(T_1)
% 225.11/225.09 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Groups_Ominus,axiom,
% 225.11/225.09 ! [T_2,T_1] :
% 225.11/225.09 ( class_Groups_Ominus(T_1)
% 225.11/225.09 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_fun__Enum_Oenum,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Enum_Oenum(T_2)
% 225.11/225.09 & class_Enum_Oenum(T_1) )
% 225.11/225.09 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Com_Ocom) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 225.11/225.09 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 225.11/225.09 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 225.11/225.09 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 225.11/225.09 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 225.11/225.09 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 225.11/225.09 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 225.11/225.09 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 225.11/225.09 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 225.11/225.09 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 225.11/225.09 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 225.11/225.09 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 225.11/225.09 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 225.11/225.09 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 225.11/225.09 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 225.11/225.09 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 225.11/225.09 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 225.11/225.09 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 225.11/225.09 class_Orderings_Opreorder(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 225.11/225.09 class_Orderings_Olinorder(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 225.11/225.09 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 225.11/225.09 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 225.11/225.09 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 225.11/225.09 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 225.11/225.09 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 225.11/225.09 class_Lattices_Olattice(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 225.11/225.09 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 225.11/225.09 class_Divides_Oring__div(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 225.11/225.09 class_Rings_Omult__zero(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 225.11/225.09 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 225.11/225.09 class_Orderings_Oorder(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 225.11/225.09 class_Int_Oring__char__0(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 225.11/225.09 class_Int_Onumber__ring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 225.11/225.09 class_Rings_Osemiring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 225.11/225.09 class_Orderings_Oord(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 225.11/225.09 class_Groups_Ouminus(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 225.11/225.09 class_Groups_Osgn__if(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 225.11/225.09 class_Groups_Oabs__if(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 225.11/225.09 class_Rings_Oring__1(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 225.11/225.09 class_Groups_Ominus(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Power_Opower,axiom,
% 225.11/225.09 class_Power_Opower(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 225.11/225.09 class_Groups_Ozero(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oring,axiom,
% 225.11/225.09 class_Rings_Oring(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 225.11/225.09 class_Rings_Oidom(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Int_Onumber,axiom,
% 225.11/225.09 class_Int_Onumber(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Groups_Oone,axiom,
% 225.11/225.09 class_Groups_Oone(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 225.11/225.09 class_Rings_Odvd(tc_Int_Oint) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 225.11/225.09 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 225.11/225.09 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 225.11/225.09 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 225.11/225.09 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 225.11/225.09 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 225.11/225.09 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 225.11/225.09 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 225.11/225.09 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 225.11/225.09 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 225.11/225.09 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 225.11/225.09 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 225.11/225.09 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 225.11/225.09 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 225.11/225.09 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 225.11/225.09 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 225.11/225.09 class_Lattices_Olattice(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 225.11/225.09 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 225.11/225.09 class_Orderings_Oorder(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 225.11/225.09 class_Rings_Osemiring(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 225.11/225.09 class_Orderings_Oord(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 225.11/225.09 class_Orderings_Obot(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 225.11/225.09 class_Groups_Ominus(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Power_Opower,axiom,
% 225.11/225.09 class_Power_Opower(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 225.11/225.09 class_Groups_Ozero(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 225.11/225.09 class_Int_Onumber(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 225.11/225.09 class_Groups_Oone(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 225.11/225.09 class_Rings_Odvd(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Nat_Onat) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 225.11/225.09 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 225.11/225.09 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 225.11/225.09 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 225.11/225.09 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 225.11/225.09 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 225.11/225.09 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 225.11/225.09 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 225.11/225.09 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 225.11/225.09 class_Lattices_Olattice(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 225.11/225.09 class_Orderings_Oorder(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 225.11/225.09 class_Orderings_Otop(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 225.11/225.09 class_Orderings_Oord(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 225.11/225.09 class_Orderings_Obot(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 225.11/225.09 class_Groups_Ouminus(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 225.11/225.09 class_Groups_Ominus(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 225.11/225.09 class_Enum_Oenum(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_HOL_Obool) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Com_Ostate) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 225.11/225.09 ! [T_1] :
% 225.11/225.09 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 225.11/225.09 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_List__Olist__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Finite__Set_Ofinite(T_2)
% 225.11/225.09 & class_Finite__Set_Ofinite(T_1) )
% 225.11/225.09 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_sum__Enum_Oenum,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Enum_Oenum(T_2)
% 225.11/225.09 & class_Enum_Oenum(T_1) )
% 225.11/225.09 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_sum__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 225.11/225.09 ! [T_1] :
% 225.11/225.09 ( class_Finite__Set_Ofinite(T_1)
% 225.11/225.09 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 225.11/225.09 ! [T_1] :
% 225.11/225.09 ( class_Enum_Oenum(T_1)
% 225.11/225.09 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 225.11/225.09 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 225.11/225.09 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Finite__Set_Ofinite(T_2)
% 225.11/225.09 & class_Finite__Set_Ofinite(T_1) )
% 225.11/225.09 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_prod__Enum_Oenum,axiom,
% 225.11/225.09 ! [T_1,T_2] :
% 225.11/225.09 ( ( class_Enum_Oenum(T_2)
% 225.11/225.09 & class_Enum_Oenum(T_1) )
% 225.11/225.09 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_prod__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 225.11/225.09 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 225.11/225.09 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 225.11/225.09 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 225.11/225.09 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 225.11/225.09 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 225.11/225.09 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 225.11/225.09 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 225.11/225.09 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 225.11/225.09 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 225.11/225.09 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 225.11/225.09 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 225.11/225.09 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 225.11/225.09 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 225.11/225.09 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 225.11/225.09 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 225.11/225.09 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 225.11/225.09 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 225.11/225.09 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 225.11/225.09 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 225.11/225.09 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 225.11/225.09 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 225.11/225.09 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 225.11/225.09 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 225.11/225.09 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 225.11/225.09 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 225.11/225.09 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 225.11/225.09 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 225.11/225.09 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 225.11/225.09 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 225.11/225.09 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 225.11/225.09 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 225.11/225.09
% 225.11/225.09 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 225.11/225.09 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 225.11/225.09
% 225.11/225.09 %----Helper facts (20)
% 225.11/225.09 fof(help_c__COMBI__1,axiom,
% 225.11/225.09 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__COMBK__1,axiom,
% 225.11/225.09 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__COMBB__1,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__COMBC__1,axiom,
% 225.11/225.09 ! [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) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__COMBS__1,axiom,
% 225.11/225.09 ! [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)) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fequal__1,axiom,
% 225.11/225.09 ! [V_y_2,V_x_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 225.11/225.09 | V_x_2 = V_y_2 ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fequal__2,axiom,
% 225.11/225.09 ! [V_y_2,V_x_2] :
% 225.11/225.09 ( V_x_2 != V_y_2
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fFalse__1,axiom,
% 225.11/225.09 ~ hBOOL(c_fFalse) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fTrue__1,axiom,
% 225.11/225.09 hBOOL(c_fTrue) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fNot__1,axiom,
% 225.11/225.09 ! [V_P_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 225.11/225.09 | ~ hBOOL(V_P_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fNot__2,axiom,
% 225.11/225.09 ! [V_P_2] :
% 225.11/225.09 ( ~ ~ hBOOL(V_P_2)
% 225.11/225.09 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fconj__1,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(V_P_2)
% 225.11/225.09 | ~ hBOOL(V_Q_2)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fconj__2,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 225.11/225.09 | hBOOL(V_P_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fconj__3,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 225.11/225.09 | hBOOL(V_Q_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fdisj__1,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(V_P_2)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fdisj__2,axiom,
% 225.11/225.09 ! [V_P_2,V_Q_2] :
% 225.11/225.09 ( ~ hBOOL(V_Q_2)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fdisj__3,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 225.11/225.09 | hBOOL(V_P_2)
% 225.11/225.09 | hBOOL(V_Q_2) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fimplies__1,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( hBOOL(V_P_2)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fimplies__2,axiom,
% 225.11/225.09 ! [V_P_2,V_Q_2] :
% 225.11/225.09 ( ~ hBOOL(V_Q_2)
% 225.11/225.09 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 225.11/225.09
% 225.11/225.09 fof(help_c__fimplies__3,axiom,
% 225.11/225.09 ! [V_Q_2,V_P_2] :
% 225.11/225.09 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 225.11/225.09 | ~ hBOOL(V_P_2)
% 225.11/225.09 | hBOOL(V_Q_2) ) ).
% 225.11/225.09
% 225.11/225.09 %----Conjectures (2)
% 225.11/225.09 fof(conj_0,hypothesis,
% 225.11/225.09 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)) ).
% 225.11/225.09
% 225.11/225.09 fof(conj_1,conjecture,
% 225.11/225.09 ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,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))))
% 225.11/225.09 & c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ) ).
% 225.11/225.09
% 225.11/225.09 %------------------------------------------------------------------------------
% 225.11/225.09 %-------------------------------------------
% 225.11/225.09 % Proof found
% 225.11/225.09 % SZS status Theorem for theBenchmark
% 225.11/225.09 % SZS output start Proof
% 225.11/225.09 %ClaNum:10476(EqnAxiom:3113)
% 225.11/225.09 %VarNum:71041(SingletonVarNum:20555)
% 225.11/225.09 %MaxLitNum:8
% 225.11/225.09 %MaxfuncDepth:13
% 225.11/225.09 %SharedTerms:1016
% 225.11/225.09 %goalClause: 6878
% 225.11/225.09 [3117]P1(a913)
% 225.11/225.09 [3118]P1(a917)
% 225.11/225.09 [3119]P105(a187)
% 225.11/225.09 [3120]P106(a913)
% 225.11/225.09 [3121]P106(a917)
% 225.11/225.09 [3122]P106(a1)
% 225.11/225.09 [3123]P106(a99)
% 225.11/225.09 [3124]P107(a913)
% 225.11/225.09 [3125]P107(a917)
% 225.11/225.09 [3126]P107(a1)
% 225.11/225.09 [3127]P107(a99)
% 225.11/225.09 [3128]P108(a917)
% 225.11/225.09 [3129]P108(a1)
% 225.11/225.09 [3130]P108(a99)
% 225.11/225.09 [3131]P109(a913)
% 225.11/225.09 [3132]P109(a917)
% 225.11/225.09 [3133]P109(a1)
% 225.11/225.09 [3134]P109(a99)
% 225.11/225.09 [3135]P2(a913)
% 225.11/225.09 [3136]P2(a920)
% 225.11/225.09 [3137]P65(a913)
% 225.11/225.09 [3138]P65(a917)
% 225.11/225.09 [3139]P65(a1)
% 225.11/225.09 [3140]P65(a99)
% 225.11/225.09 [3141]P77(a1)
% 225.11/225.09 [3142]P66(a917)
% 225.11/225.09 [3143]P66(a1)
% 225.11/225.09 [3144]P66(a99)
% 225.11/225.09 [3145]P67(a1)
% 225.11/225.09 [3146]P110(a1)
% 225.11/225.09 [3147]P69(a917)
% 225.11/225.09 [3148]P69(a1)
% 225.11/225.09 [3149]P69(a99)
% 225.11/225.09 [3150]P70(a917)
% 225.11/225.09 [3151]P70(a1)
% 225.11/225.09 [3152]P70(a99)
% 225.11/225.09 [3153]P81(a917)
% 225.11/225.09 [3154]P81(a1)
% 225.11/225.09 [3155]P81(a99)
% 225.11/225.09 [3156]P71(a917)
% 225.11/225.09 [3157]P71(a1)
% 225.11/225.09 [3158]P71(a99)
% 225.11/225.09 [3159]P72(a917)
% 225.11/225.09 [3160]P72(a1)
% 225.11/225.09 [3161]P72(a99)
% 225.11/225.09 [3162]P82(a917)
% 225.11/225.09 [3163]P82(a1)
% 225.11/225.09 [3164]P82(a99)
% 225.11/225.09 [3165]P68(a917)
% 225.11/225.09 [3166]P68(a1)
% 225.11/225.09 [3167]P68(a99)
% 225.11/225.09 [3168]P83(a917)
% 225.11/225.09 [3169]P83(a1)
% 225.11/225.09 [3170]P83(a99)
% 225.11/225.09 [3171]P74(a1)
% 225.11/225.09 [3172]P111(a1)
% 225.11/225.09 [3173]P78(a917)
% 225.11/225.09 [3174]P78(a1)
% 225.11/225.09 [3175]P78(a99)
% 225.11/225.09 [3176]P79(a917)
% 225.11/225.09 [3177]P79(a1)
% 225.11/225.09 [3178]P79(a99)
% 225.11/225.09 [3179]P112(a917)
% 225.11/225.09 [3180]P112(a1)
% 225.11/225.09 [3181]P112(a99)
% 225.11/225.09 [3182]P113(a1)
% 225.11/225.09 [3183]P139(a917)
% 225.11/225.09 [3184]P139(a1)
% 225.11/225.09 [3185]P139(a99)
% 225.11/225.09 [3186]P114(a917)
% 225.11/225.09 [3187]P114(a1)
% 225.11/225.09 [3188]P114(a99)
% 225.11/225.09 [3189]P120(a917)
% 225.11/225.09 [3190]P120(a1)
% 225.11/225.09 [3191]P120(a99)
% 225.11/225.09 [3192]P143(a917)
% 225.11/225.09 [3193]P143(a1)
% 225.11/225.09 [3194]P129(a1)
% 225.11/225.09 [3195]P85(a917)
% 225.11/225.09 [3196]P85(a1)
% 225.11/225.09 [3197]P85(a99)
% 225.11/225.09 [3198]P80(a917)
% 225.11/225.09 [3199]P80(a1)
% 225.11/225.09 [3200]P80(a99)
% 225.11/225.09 [3201]P75(a1)
% 225.11/225.09 [3202]P132(a917)
% 225.11/225.09 [3203]P132(a1)
% 225.11/225.09 [3204]P132(a99)
% 225.11/225.09 [3205]P140(a1)
% 225.11/225.09 [3206]P134(a917)
% 225.11/225.09 [3207]P134(a1)
% 225.11/225.09 [3208]P134(a99)
% 225.11/225.09 [3209]P144(a917)
% 225.11/225.09 [3210]P144(a1)
% 225.11/225.09 [3211]P144(a99)
% 225.11/225.09 [3212]P127(a1)
% 225.11/225.09 [3213]P128(a1)
% 225.11/225.09 [3214]P86(a917)
% 225.11/225.09 [3215]P86(a1)
% 225.11/225.09 [3216]P86(a99)
% 225.11/225.09 [3217]P135(a917)
% 225.11/225.09 [3218]P135(a1)
% 225.11/225.09 [3219]P135(a99)
% 225.11/225.09 [3220]P137(a917)
% 225.11/225.09 [3221]P137(a1)
% 225.11/225.09 [3222]P137(a99)
% 225.11/225.09 [3223]P136(a917)
% 225.11/225.09 [3224]P136(a1)
% 225.11/225.09 [3225]P136(a99)
% 225.11/225.09 [3226]P121(a917)
% 225.11/225.09 [3227]P121(a1)
% 225.11/225.09 [3228]P121(a99)
% 225.11/225.09 [3229]P133(a917)
% 225.11/225.09 [3230]P133(a1)
% 225.11/225.09 [3231]P133(a99)
% 225.11/225.09 [3232]P130(a917)
% 225.11/225.09 [3233]P130(a1)
% 225.11/225.09 [3234]P130(a99)
% 225.11/225.09 [3235]P131(a1)
% 225.11/225.09 [3236]P141(a1)
% 225.11/225.09 [3237]P90(a1)
% 225.11/225.09 [3238]P91(a917)
% 225.11/225.09 [3239]P91(a1)
% 225.11/225.09 [3240]P91(a99)
% 225.11/225.09 [3241]P92(a1)
% 225.11/225.09 [3242]P93(a917)
% 225.11/225.09 [3243]P93(a1)
% 225.11/225.09 [3244]P93(a99)
% 225.11/225.09 [3245]P145(a917)
% 225.11/225.09 [3246]P145(a1)
% 225.11/225.09 [3247]P145(a99)
% 225.11/225.09 [3248]P84(a1)
% 225.11/225.09 [3249]P138(a1)
% 225.11/225.09 [3250]P94(a913)
% 225.11/225.09 [3251]P87(a913)
% 225.11/225.09 [3252]P87(a1)
% 225.11/225.09 [3253]P122(a1)
% 225.11/225.09 [3254]P115(a1)
% 225.11/225.09 [3255]P142(a1)
% 225.11/225.09 [3256]P73(a1)
% 225.11/225.09 [3257]P3(a917)
% 225.11/225.09 [3258]P3(a1)
% 225.11/225.09 [3259]P3(a99)
% 225.11/225.09 [3260]P4(a1)
% 225.11/225.09 [3261]P116(a917)
% 225.11/225.09 [3262]P116(a1)
% 225.11/225.09 [3263]P116(a99)
% 225.11/225.09 [3264]P146(a917)
% 225.11/225.09 [3265]P146(a1)
% 225.11/225.09 [3266]P146(a99)
% 225.11/225.09 [3267]P88(a1)
% 225.11/225.09 [3268]P96(a913)
% 225.11/225.09 [3269]P98(a913)
% 225.11/225.09 [3270]P98(a917)
% 225.11/225.09 [3271]P98(a1)
% 225.11/225.09 [3272]P99(a913)
% 225.11/225.09 [3273]P99(a917)
% 225.11/225.09 [3274]P99(a1)
% 225.11/225.09 [3275]P102(a913)
% 225.11/225.09 [3276]P102(a917)
% 225.11/225.09 [3277]P102(a1)
% 225.11/225.09 [3278]P100(a913)
% 225.11/225.09 [3279]P100(a917)
% 225.11/225.09 [3280]P100(a1)
% 225.11/225.09 [3281]P5(a913)
% 225.11/225.09 [3282]P117(a913)
% 225.11/225.09 [3283]P101(a913)
% 225.11/225.09 [3284]P76(a917)
% 225.11/225.09 [3285]P76(a1)
% 225.11/225.09 [3286]P76(a99)
% 225.11/225.09 [3287]P118(a917)
% 225.11/225.09 [3288]P89(a917)
% 225.11/225.09 [3289]P89(a1)
% 225.11/225.09 [3290]P89(a99)
% 225.11/225.09 [3291]P60(a913)
% 225.11/225.09 [3292]P60(a920)
% 225.11/225.09 [3293]P104(a913)
% 225.11/225.09 [3294]P104(a917)
% 225.11/225.09 [3295]P104(a914)
% 225.11/225.09 [3296]P104(a99)
% 225.11/225.09 [3297]P104(a920)
% 225.11/225.09 [3298]P104(a915)
% 225.11/225.09 [3299]P104(a322)
% 225.11/225.09 [3300]P103(a1)
% 225.11/225.09 [3301]P103(a920)
% 225.11/225.09 [3302]P123(a917)
% 225.11/225.09 [3303]P123(a1)
% 225.11/225.09 [3304]P123(a99)
% 225.11/225.09 [3305]P119(a1)
% 225.11/225.09 [3306]P97(a913)
% 225.11/225.09 [3322]P37(a917,a239)
% 225.11/225.09 [3323]P37(a917,a316)
% 225.11/225.09 [3324]P38(a917,a239)
% 225.11/225.09 [4665]~E(a97,a82)
% 225.11/225.09 [4666]~P105(a232)
% 225.11/225.09 [3114]E(f2(a1),a82)
% 225.11/225.09 [3115]E(f3(a99),a4)
% 225.11/225.09 [3116]E(f100(a99),a5)
% 225.11/225.09 [3307]E(f188(a917),f2(a917))
% 225.11/225.09 [3308]E(f28(a25),f2(a917))
% 225.11/225.09 [3309]E(f83(a232),f2(a917))
% 225.11/225.09 [3310]E(f83(a187),f2(a917))
% 225.11/225.09 [3311]E(f233(a917),f101(a917))
% 225.11/225.09 [3312]E(f238(a917),f102(a917))
% 225.11/225.09 [3313]E(f103(a1),f31(a1))
% 225.11/225.09 [3314]P6(f77(a1))
% 225.11/225.09 [3315]P6(f2(a1))
% 225.11/225.09 [3371]P37(f924(a917,a917),a32)
% 225.11/225.09 [3717]E(f318(a917,a917,a239,a239),a32)
% 225.11/225.09 [4667]~E(f77(a1),f2(a1))
% 225.11/225.09 [3316]E(f111(f2(a917)),f2(a917))
% 225.11/225.09 [3317]E(f6(f2(a99)),f2(a917))
% 225.11/225.09 [3326]E(f326(f78(a1),a82),a82)
% 225.11/225.09 [3329]E(f326(a112,f2(a917)),f77(a917))
% 225.11/225.09 [3330]E(f326(a105,f77(a1)),f77(a917))
% 225.11/225.09 [3331]E(f326(a5,f77(a917)),f77(a99))
% 225.11/225.09 [3333]E(f326(a5,f2(a917)),f2(a99))
% 225.11/225.09 [3335]E(f326(f104(a1),a82),f2(a1))
% 225.11/225.09 [3336]E(f326(f104(a99),a82),f2(a99))
% 225.11/225.09 [3337]E(f326(a105,f2(a1)),f2(a917))
% 225.11/225.09 [3338]E(f326(f189(a913),a232),f2(a917))
% 225.11/225.09 [3339]E(f326(f189(a913),a187),f2(a917))
% 225.11/225.09 [3340]E(f326(f189(a914),a25),f2(a917))
% 225.11/225.09 [3341]E(f326(f104(a917),a82),f2(a917))
% 225.11/225.09 [3347]E(f326(f78(a1),f77(a1)),a97)
% 225.11/225.09 [3355]E(f326(f189(a99),f2(a99)),f2(a917))
% 225.11/225.09 [3356]E(f326(f100(a1),f77(a917)),f77(a1))
% 225.11/225.09 [3357]E(f326(f100(a1),f2(a917)),f2(a1))
% 225.11/225.09 [3358]E(f326(f78(a1),f2(a1)),f2(a1))
% 225.11/225.09 [3368]E(f326(a105,f77(a1)),f326(a112,f2(a917)))
% 225.11/225.09 [3369]E(f317(f924(a917,a917),a32),a33)
% 225.11/225.09 [3370]E(f319(f924(a917,a917),a32),a68)
% 225.11/225.09 [3397]E(f326(f281(a917),f2(a917)),f188(f925(a917,a913)))
% 225.11/225.09 [3398]E(f326(f282(a917),f2(a917)),f241(f925(a917,a913)))
% 225.11/225.09 [3406]P40(f188(f925(a1,a913)))
% 225.11/225.09 [3440]E(f326(f326(f3(a99),f2(a99)),f77(a99)),f2(a99))
% 225.11/225.09 [3515]P105(f326(f326(f235(a1),a97),f2(a1)))
% 225.11/225.09 [3539]P105(f326(f326(f234(a1),f2(a1)),f77(a1)))
% 225.11/225.09 [3541]P105(f326(f326(f235(a1),f2(a1)),f77(a1)))
% 225.11/225.09 [3748]E(f326(f326(f288(a917,a917,a917),a316),f306(a917,a316)),a239)
% 225.11/225.09 [3786]P41(a1,a917,a105,f326(f234(a1),f2(a1)))
% 225.11/225.09 [3790]E(f326(f326(f38(a917,f925(a917,a913)),f241(f925(a917,a913))),f300(a917)),f241(f925(a917,a913)))
% 225.11/225.09 [3791]E(f326(f326(f38(a917,f925(a917,a913)),f241(f925(a917,a913))),f281(a917)),f241(f925(a917,a913)))
% 225.11/225.09 [3792]E(f326(f326(f38(a917,f925(a917,a913)),f241(f925(a917,a913))),f282(a917)),f241(f925(a917,a913)))
% 225.11/225.09 [3793]E(f326(f326(f39(a917,f925(a917,a913)),f241(f925(a917,a913))),f303(a917)),f188(f925(a917,a913)))
% 225.11/225.09 [3808]P25(a917,a1,f100(a1),f241(f925(a917,a913)))
% 225.11/225.09 [3822]P41(a917,a1,f100(a1),f326(f18(a913,a917),a187))
% 225.11/225.09 [3959]E(f326(f72(a917,a99,a1,a5),a105),f104(a99))
% 225.11/225.09 [4184]P56(a99,a917,a22,a5,f241(f925(a917,a913)))
% 225.11/225.09 [4188]P56(a1,f925(f924(a917,a917),a913),a108,a88,a98)
% 225.11/225.09 [4444]E(f257(a1,a1,a1,a1,f31(a1),f78(a1)),a50)
% 225.11/225.09 [4682]~E(f326(f104(a1),a97),f326(f104(a1),a82))
% 225.11/225.09 [4683]~P105(f326(a193,f77(a1)))
% 225.11/225.09 [4684]~P105(f326(a193,f2(a1)))
% 225.11/225.09 [4721]~P105(f326(f326(f235(a1),a82),f2(a1)))
% 225.11/225.09 [3389]E(f326(f326(f3(a1),a97),a97),a82)
% 225.11/225.09 [3404]E(f326(f100(a1),f326(a112,f2(a917))),f77(a1))
% 225.11/225.09 [3469]E(f326(f34(a920),f241(f925(a920,a913))),f77(a917))
% 225.11/225.09 [3489]P105(f326(a193,f326(f104(a1),a97)))
% 225.11/225.09 [3491]P105(f326(f326(f234(a1),a97),a82))
% 225.11/225.09 [3493]P105(f326(f326(f235(a1),a97),a82))
% 225.11/225.09 [3550]E(f326(f326(f308(a917),f2(a917)),f188(f925(a917,a913))),f326(f300(a917),f2(a917)))
% 225.11/225.09 [3605]P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),a82)))
% 225.11/225.09 [3618]E(f326(f309(a917,a917,a112),f241(f925(a917,a913))),f326(f303(a917),f2(a917)))
% 225.11/225.09 [3655]P8(f924(a917,a917),f241(f925(f924(a917,a917),a913)),a109)
% 225.11/225.09 [3966]E(f326(f72(a917,a1,a99,f100(a1)),a22),a24)
% 225.11/225.09 [4027]P37(a917,f326(f261(f924(a917,a917)),f326(f256(a917,a917,a913),f235(a917))))
% 225.11/225.09 [4712]~P105(f326(a193,f326(f104(a1),a82)))
% 225.11/225.09 [4713]~P105(f326(f326(f234(a1),a82),a97))
% 225.11/225.09 [4714]~P105(f326(f326(f235(a1),a82),a82))
% 225.11/225.09 [4715]~P105(f326(f326(f235(a1),a82),a97))
% 225.11/225.09 [4716]~P105(f326(f326(f235(a1),a97),a97))
% 225.11/225.09 [4727]~P105(f326(f60(a917),f241(f925(a917,a913))))
% 225.11/225.09 [4728]~P105(f326(f60(a1),f241(f925(a1,a913))))
% 225.11/225.09 [3608]P24(a912,a926,f326(f326(f308(f916(a912)),a927),a928))
% 225.11/225.09 [4610]E(f326(f256(a1,a1,a913),f326(f326(f10(f925(a1,a913),f925(a1,a913),a1),f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f235(a1),f2(a1))))),f326(f326(f9(a1,a1,f925(a1,a913)),f326(f326(f10(f925(a1,f925(a1,a913)),f925(a1,f925(a1,a913)),a1),f9(a1,a1,a913)),f326(f326(f10(f925(a1,a1),f925(a1,f925(a1,a913)),a1),f326(f10(a1,f925(a1,a913),a1),a323)),a217))),f77(a1)))),a213)
% 225.11/225.09 [3692]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f78(a1),a97))
% 225.11/225.09 [3730]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f326(f3(a1),a82),a97))
% 225.11/225.09 [3892]E(f326(f326(f59(f924(a917,a917)),f241(f925(f924(a917,a917),a913))),a109),a98)
% 225.11/225.09 [3921]E(f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a1))
% 225.11/225.09 [3922]E(f326(f104(a99),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a99))
% 225.11/225.09 [3923]E(f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a917))
% 225.11/225.09 [3927]E(f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(a112,f2(a917)))
% 225.11/225.09 [4310]E(f326(f326(f101(f925(f924(f924(a917,a917),f924(a917,a917)),a913)),a32),f306(f924(a917,a917),f188(f925(f924(f924(a917,a917),f924(a917,a917)),a913)))),a70)
% 225.11/225.09 [4378]E(f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),f77(a917)),f2(a917))),f188(f925(f924(a917,a917),a913))))),f77(a1))
% 225.11/225.09 [4379]E(f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),f2(a917)),f2(a917))),f188(f925(f924(a917,a917),a913))))),f2(a1))
% 225.11/225.09 [4392]E(f326(f261(f924(a917,a917)),f326(f256(a917,a917,a913),f326(f326(f10(a917,f925(a917,a913),a917),f326(f9(a917,a917,a913),a323)),a112))),a316)
% 225.11/225.09 [4364]E(f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(a112,f326(a112,f2(a917))))
% 225.11/225.09 [4367]E(f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f326(f79(a917),f77(a917)),f77(a917)))
% 225.11/225.09 [4368]E(f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f34(a913),f241(f925(a913,a913))))
% 225.11/225.09 [4431]P6(f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 225.11/225.09 [4500]P27(f925(f924(a917,a917),a913),f326(f326(f251(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913),f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)),a33),a69))
% 225.11/225.09 [4501]P27(f925(f924(a917,a917),a913),f326(f326(f251(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913),f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)),a68),a71))
% 225.11/225.09 [4541]E(f326(f326(f101(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)),f319(f924(a917,a917),a70)),f326(f326(f308(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f188(f925(f924(a917,a917),a913))),f188(f925(f924(a917,a917),a913)))),f188(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)))),a71)
% 225.11/225.09 [4542]E(f326(f326(f101(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)),f317(f924(a917,a917),a70)),f326(f326(f308(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f188(f925(f924(a917,a917),a913))),f188(f925(f924(a917,a917),a913)))),f188(f925(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a913)))),a69)
% 225.11/225.09 [4433]E(f326(a105,f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,f2(a917))))
% 225.11/225.09 [4478]E(f326(f100(a1),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 225.11/225.09 [4511]P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.11/225.09 [4512]E(f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)),f326(a112,f326(a112,f326(a112,f2(a917)))))
% 225.11/225.09 [4556]P6(f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 225.11/225.09 [4582]E(f326(f100(a1),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 225.11/225.09 [4595]P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))))
% 225.11/225.09 [3325]P7(x33251,a323)
% 225.11/225.09 [3718]P25(a917,a917,a112,x37181)
% 225.11/225.09 [3318]P104(f916(x33181))
% 225.11/225.09 [3319]P104(f921(x33191))
% 225.11/225.09 [3320]P104(f918(x33201))
% 225.11/225.09 [3321]P104(f919(x33211))
% 225.11/225.09 [3342]P37(a1,f106(x33421))
% 225.11/225.09 [3343]P37(a1,f107(x33431))
% 225.11/225.09 [3393]P37(f925(x33931,a913),f313(x33931))
% 225.11/225.09 [3394]P38(f925(x33941,a913),f313(x33941))
% 225.11/225.09 [3418]E(f242(x34181,x34181,a323),a323)
% 225.11/225.09 [3433]E(f44(a1,x34331,x34331),f2(a1))
% 225.11/225.09 [3486]P14(x34861,f925(x34861,a913),f308(x34861))
% 225.11/225.09 [4669]~E(f326(a112,x46691),x46691)
% 225.11/225.09 [4679]~E(f326(a112,x46791),f2(a917))
% 225.11/225.09 [3327]E(f326(f189(a917),x33271),x33271)
% 225.11/225.09 [3328]E(f326(f104(a1),x33281),x33281)
% 225.11/225.09 [3344]E(f326(a88,f327(x33441)),x33441)
% 225.11/225.09 [3345]E(f326(a5,f580(x33451)),x33451)
% 225.11/225.09 [3346]E(f240(x33461,f2(a99)),f2(a99))
% 225.11/225.09 [3359]E(f114(x33591,f113(x33591)),f113(x33591))
% 225.11/225.09 [3360]E(f152(x33601,f113(x33601)),f113(x33601))
% 225.11/225.09 [3365]E(f326(f167(x33651),f113(x33651)),f113(x33651))
% 225.11/225.09 [3366]E(f326(f171(x33661),f113(x33661)),f113(x33661))
% 225.11/225.09 [3367]E(f326(f168(x33671),f113(x33671)),f113(x33671))
% 225.11/225.09 [3372]E(f326(f104(a1),x33721),f326(f103(a1),x33721))
% 225.11/225.09 [3373]E(f326(a88,f326(a108,x33731)),x33731)
% 225.11/225.09 [3375]E(f326(a5,f326(a22,x33751)),x33751)
% 225.11/225.09 [3376]E(f326(a22,f326(a5,x33761)),x33761)
% 225.11/225.09 [3378]P6(f326(f100(a1),x33781))
% 225.11/225.09 [3387]E(f326(f189(f918(x33871)),f113(x33871)),f2(a917))
% 225.11/225.09 [3388]E(f326(f189(f919(x33881)),f119(x33881)),f2(a917))
% 225.11/225.09 [3409]E(f326(f326(f3(a917),x34091),f2(a917)),x34091)
% 225.11/225.09 [3410]E(f326(f326(f80(a917),x34101),f77(a917)),x34101)
% 225.11/225.09 [3411]E(f326(f326(f80(a1),x34111),f77(a1)),x34111)
% 225.11/225.09 [3412]E(f326(f326(f79(a917),x34121),f2(a917)),x34121)
% 225.11/225.09 [3413]E(f326(f326(f79(a1),x34131),f2(a1)),x34131)
% 225.11/225.09 [3414]E(f326(f326(f233(a917),x34141),f2(a917)),x34141)
% 225.11/225.09 [3415]E(f326(f326(f80(a917),x34151),f2(a917)),f2(a917))
% 225.11/225.09 [3416]E(f326(f326(f238(a917),x34161),f2(a917)),f2(a917))
% 225.11/225.09 [3417]E(f326(f326(f35(a1),x34171),f2(a1)),f2(a1))
% 225.11/225.09 [3424]E(f326(f172(x34241),f113(x34241)),f188(f925(x34241,a913)))
% 225.11/225.09 [3428]P105(f326(f137(x34281),f113(x34281)))
% 225.11/225.09 [3434]E(f326(f154(x34341,x34341),f7(x34341)),f31(f918(x34341)))
% 225.11/225.09 [3435]E(f326(f154(x34351,x34351),f31(x34351)),f31(f918(x34351)))
% 225.11/225.09 [3436]E(f44(a1,x34361,f2(a1)),x34361)
% 225.11/225.09 [3437]E(f326(f234(a917),f326(a112,x34371)),f326(f235(a917),x34371))
% 225.11/225.09 [3438]E(f326(f281(a917),f326(a112,x34381)),f326(f300(a917),x34381))
% 225.11/225.09 [3439]E(f326(f282(a917),f326(a112,x34391)),f326(f303(a917),x34391))
% 225.11/225.09 [3441]E(f44(a1,f2(a1),x34411),f2(a1))
% 225.11/225.09 [3454]E(f326(f326(f79(a917),x34541),f77(a917)),f326(a112,x34541))
% 225.11/225.09 [3463]E(f326(f301(a917,x34631),f2(a917)),f188(f925(a917,a913)))
% 225.11/225.09 [3475]E(f302(a917,f2(a917),x34751),f326(f300(a917),x34751))
% 225.11/225.09 [3518]E(f326(f326(f3(a917),f326(a112,x35181)),f77(a917)),x35181)
% 225.11/225.09 [3530]E(f46(f2(a1),x35301),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 225.11/225.09 [3580]P105(f326(f326(f235(a917),x35801),f326(a112,x35801)))
% 225.11/225.09 [3592]P105(f326(f326(f235(a917),f2(a917)),f326(a112,x35921)))
% 225.11/225.09 [3821]E(f90(x38211,x38211,f241(f925(x38211,a913)),f31(x38211)),f31(x38211))
% 225.11/225.09 [3879]E(f326(f326(f3(a99),f326(a5,f326(a112,f326(a22,x38791)))),f77(a99)),x38791)
% 225.11/225.09 [3950]P105(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x39501))),f2(a1)))
% 225.11/225.09 [4099]P105(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x40991)))),f2(a1)))
% 225.11/225.09 [4689]~E(f241(f925(x46891,a913)),f188(f925(x46891,a913)))
% 225.11/225.09 [4724]~P105(f326(f326(f235(a917),x47241),f2(a917)))
% 225.11/225.09 [4737]~P105(f326(f326(f235(a1),f326(f100(a1),x47371)),f2(a1)))
% 225.11/225.09 [3377]E(f120(x33771,f119(f919(x33771))),f119(x33771))
% 225.11/225.09 [3392]E(f179(x33921,f113(f918(x33921))),f113(f918(x33921)))
% 225.11/225.09 [3395]E(f326(f326(f80(a1),a82),x33951),a82)
% 225.11/225.09 [3396]E(f326(f326(f79(a1),a82),x33961),x33961)
% 225.11/225.09 [3399]E(f326(a105,f326(f100(a1),x33991)),x33991)
% 225.11/225.09 [3400]E(f326(f326(f3(a1),x34001),a82),x34001)
% 225.11/225.09 [3401]E(f326(f326(f79(a1),x34011),a82),x34011)
% 225.11/225.09 [3403]E(f326(f326(f3(a917),x34031),x34031),f2(a917))
% 225.11/225.09 [3407]E(f326(f34(a917),f326(f281(a917),x34071)),x34071)
% 225.11/225.09 [3408]E(f326(f78(a1),f326(f78(a1),x34081)),x34081)
% 225.11/225.09 [3419]E(f326(f326(f80(a917),f77(a917)),x34191),x34191)
% 225.11/225.09 [3420]E(f326(f326(f80(a1),f77(a1)),x34201),x34201)
% 225.11/225.09 [3421]E(f326(f326(f79(a917),f2(a917)),x34211),x34211)
% 225.11/225.09 [3422]E(f326(f326(f79(a1),f2(a1)),x34221),x34221)
% 225.11/225.09 [3423]E(f326(f326(f233(a917),f2(a917)),x34231),x34231)
% 225.11/225.09 [3429]E(f326(f326(f3(a917),f2(a917)),x34291),f2(a917))
% 225.11/225.09 [3430]E(f326(f326(f80(a917),f2(a917)),x34301),f2(a917))
% 225.11/225.09 [3431]E(f326(f326(f238(a917),f2(a917)),x34311),f2(a917))
% 225.11/225.09 [3432]E(f326(f326(f35(a1),f2(a1)),x34321),f2(a1))
% 225.11/225.09 [3442]E(f128(x34421,f326(f78(a1),x34421)),f132(a1,x34421))
% 225.11/225.09 [3447]E(f326(f301(a917,f2(a917)),x34471),f326(f281(a917),x34471))
% 225.11/225.09 [3448]E(f326(f326(f80(a1),a97),x34481),f326(f78(a1),x34481))
% 225.11/225.09 [3456]E(f326(a105,f326(f104(a1),x34561)),f326(f104(a917),x34561))
% 225.11/225.09 [3457]E(f326(a22,f326(f104(a99),x34571)),f326(f104(a917),x34571))
% 225.11/225.09 [3458]E(f326(f34(a917),f326(f300(a917),x34581)),f326(a112,x34581))
% 225.11/225.09 [3467]E(f326(f326(f79(a917),f77(a917)),x34671),f326(a112,x34671))
% 225.11/225.09 [3471]E(f326(f75(a1),f326(f100(a1),x34711)),f326(f100(a1),x34711))
% 225.11/225.09 [3472]E(f326(f103(a1),f326(f100(a1),x34721)),f326(f100(a1),x34721))
% 225.11/225.09 [3476]E(f326(f34(x34761),f188(f925(x34761,a913))),f2(a917))
% 225.11/225.09 [3478]E(f326(f326(f35(a917),x34781),f326(a112,f2(a917))),x34781)
% 225.11/225.09 [3487]E(f44(a917,x34871,f326(a112,f2(a917))),f2(a917))
% 225.11/225.09 [3488]E(f44(a1,x34881,f326(f104(a1),a97)),f2(a1))
% 225.11/225.09 [3502]E(f326(f326(f35(a1),x35021),f326(f104(a1),a97)),f326(f78(a1),x35021))
% 225.11/225.09 [3506]E(f139(a917,f326(f301(a917,x35061),f2(a917))),f113(a917))
% 225.11/225.09 [3507]E(f326(f326(f79(a1),x35071),f77(a1)),f326(f326(f3(a1),x35071),a97))
% 225.11/225.09 [3508]E(f326(f326(f3(a1),x35081),f77(a1)),f326(f326(f79(a1),x35081),a97))
% 225.11/225.09 [3512]P105(f326(f326(f234(a917),x35121),x35121))
% 225.11/225.09 [3513]P105(f326(f326(f234(a1),x35131),x35131))
% 225.11/225.09 [3514]P105(f326(f326(f286(a917),x35141),x35141))
% 225.11/225.09 [3519]E(f326(f78(a1),f326(f104(a1),x35191)),f326(f104(a1),f326(f78(a1),x35191)))
% 225.11/225.09 [3520]P105(f326(f60(a917),f326(f300(a917),x35201)))
% 225.11/225.09 [3521]P105(f326(f60(a917),f326(f281(a917),x35211)))
% 225.11/225.09 [3528]E(f161(x35281,f241(f925(x35281,a913))),f241(f925(f918(x35281),a913)))
% 225.11/225.09 [3533]P105(f326(f326(f234(a917),f2(a917)),x35331))
% 225.11/225.09 [3543]E(f326(f326(f79(a917),f111(x35431)),f326(a112,f2(a917))),f111(f326(a112,x35431)))
% 225.11/225.09 [3544]E(f326(f261(x35441),f326(f18(a913,x35441),a232)),f188(f925(x35441,a913)))
% 225.11/225.09 [3545]E(f326(f261(x35451),f326(f18(a913,x35451),a187)),f241(f925(x35451,a913)))
% 225.11/225.09 [3549]E(f326(f326(f308(a917),x35491),f326(f281(a917),x35491)),f326(f281(a917),f326(a112,x35491)))
% 225.11/225.09 [3561]E(f326(f326(f79(a1),f77(a1)),f326(f100(a1),x35611)),f326(f100(a1),f326(a112,x35611)))
% 225.11/225.09 [3563]E(f326(f326(f151(f918(x35631)),f113(x35631)),f113(f918(x35631))),f53(x35631,f113(x35631)))
% 225.11/225.09 [3583]E(f188(f925(f924(x35831,x35831),a913)),f262(x35831,f188(f925(x35831,a913))))
% 225.11/225.09 [3584]E(f326(f307(x35841),f241(f925(x35841,a913))),f241(f925(f925(x35841,a913),a913)))
% 225.11/225.09 [3585]E(f326(f78(f925(x35851,a913)),f188(f925(x35851,a913))),f241(f925(x35851,a913)))
% 225.11/225.09 [3586]E(f326(f78(f925(x35861,a913)),f241(f925(x35861,a913))),f188(f925(x35861,a913)))
% 225.11/225.09 [3588]P105(f326(f60(x35881),f188(f925(x35881,a913))))
% 225.11/225.09 [3590]E(f326(f301(a917,x35901),f326(a112,x35901)),f326(f326(f308(a917),x35901),f188(f925(a917,a913))))
% 225.11/225.09 [3591]E(f84(f924(a917,a917),f47(x35911,f2(a917))),f326(f326(f251(a917,a917),f2(a917)),x35911))
% 225.11/225.09 [3604]E(f326(f326(f308(a917),f326(a112,x36041)),f326(f300(a917),x36041)),f326(f300(a917),f326(a112,x36041)))
% 225.11/225.09 [3609]P37(x36091,f188(f925(f924(x36091,x36091),a913)))
% 225.11/225.09 [3610]P39(x36101,f188(f925(f924(x36101,x36101),a913)))
% 225.11/225.09 [3613]P105(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x36131)))
% 225.11/225.09 [3620]E(f326(f326(f79(a917),f326(f189(a917),x36201)),f326(a112,f2(a917))),f326(f189(a917),f326(a112,x36201)))
% 225.11/225.09 [3725]P40(f326(f309(a917,a1,f100(a1)),x37251))
% 225.11/225.09 [3763]P52(x37631,f188(f925(x37631,a913)),f188(f925(f924(x37631,x37631),a913)))
% 225.11/225.09 [3782]E(f326(f326(f251(a1,a1),f326(f104(a1),a97)),f326(f326(f3(a1),x37821),f77(a1))),f49(f326(f104(a1),a97),x37821))
% 225.11/225.09 [3834]P59(x38341,f326(f18(f925(x38341,a913),x38341),f326(f18(a913,x38341),a232)))
% 225.11/225.09 [3846]E(f289(a917,f286(a917),x38461,x38461),f326(f326(f308(a917),x38461),f188(f925(a917,a913))))
% 225.11/225.09 [4039]P105(f326(f326(f328(f925(f924(a917,a917),a913)),f327(x40391)),a98))
% 225.11/225.09 [4065]P105(f326(f326(f328(f925(f924(a917,a917),a913)),f326(a108,x40651)),a98))
% 225.11/225.09 [4197]P25(x41971,f925(x41971,a913),f326(f326(f9(x41971,f925(x41971,a913),f925(x41971,a913)),f308(x41971)),f188(f925(x41971,a913))),f241(f925(x41971,a913)))
% 225.11/225.09 [4686]~E(f326(f326(f79(a1),x46861),x46861),a97)
% 225.11/225.09 [4711]~E(f326(a5,f326(a112,f326(a22,x47111))),f2(a99))
% 225.11/225.09 [4717]~P105(f326(a193,f326(f100(a1),x47171)))
% 225.11/225.09 [4720]~P105(f326(f326(f235(a917),x47201),x47201))
% 225.11/225.09 [4730]~P105(f326(f326(f234(a917),f326(a112,x47301)),x47301))
% 225.11/225.09 [3535]E(f326(a105,f326(f78(a1),f326(f100(a1),x35351))),f2(a917))
% 225.11/225.09 [3538]E(f326(f326(f79(a1),f326(f78(a1),x35381)),x35381),f2(a1))
% 225.11/225.09 [3542]E(f326(f34(a1),f326(f301(a1,f2(a1)),x35421)),f326(a105,x35421))
% 225.11/225.09 [3554]E(f326(f326(f243(a917),f326(a112,f2(a917))),x35541),f326(a112,f2(a917)))
% 225.11/225.09 [3652]E(f326(f280(x36521),f188(f925(f924(x36521,x36521),a913))),f188(f925(x36521,a913)))
% 225.11/225.09 [3660]E(f36(f925(x36601,a913),f188(f925(f925(x36601,a913),a913))),f188(f925(x36601,a913)))
% 225.11/225.09 [3661]E(f36(f925(x36611,a913),f241(f925(f925(x36611,a913),a913))),f241(f925(x36611,a913)))
% 225.11/225.09 [3662]E(f37(f925(x36621,a913),f188(f925(f925(x36621,a913),a913))),f241(f925(x36621,a913)))
% 225.11/225.09 [3663]E(f37(f925(x36631,a913),f241(f925(f925(x36631,a913),a913))),f188(f925(x36631,a913)))
% 225.11/225.09 [3667]P105(f326(f326(f286(a917),f326(a112,f2(a917))),x36671))
% 225.11/225.09 [3708]E(f326(f326(f308(f918(x37081)),f113(x37081)),f188(f925(f918(x37081),a913))),f161(x37081,f188(f925(x37081,a913))))
% 225.11/225.09 [3709]E(f326(f326(f308(f918(x37091)),f113(x37091)),f188(f925(f918(x37091),a913))),f162(x37091,f113(f925(x37091,a913))))
% 225.11/225.09 [3747]E(f326(f326(f79(a917),f6(x37471)),f326(a112,f2(a917))),f6(f326(a5,f326(a112,f326(a22,x37471)))))
% 225.11/225.09 [3773]E(f326(f34(a1),f326(f309(a917,a1,f100(a1)),x37731)),f326(f34(a917),x37731))
% 225.11/225.09 [3774]P105(f326(f326(f234(a917),x37741),f326(f326(f80(a917),x37741),x37741)))
% 225.11/225.09 [3812]E(f326(f309(a1,a917,a105),f302(a1,f2(a1),f326(f100(a1),x38121))),f326(f300(a917),x38121))
% 225.11/225.09 [3829]E(f326(f326(f35(a917),f326(a112,f2(a917))),f326(f104(a917),x38291)),f326(a105,f326(f326(f35(a1),f77(a1)),f326(f104(a1),x38291))))
% 225.11/225.09 [3831]E(f326(f172(a917),f139(a917,f326(f301(a917,f2(a917)),f326(a112,x38311)))),f326(f300(a917),x38311))
% 225.11/225.09 [3832]E(f326(f326(f79(a917),f326(f189(a99),x38321)),f326(a112,f2(a917))),f326(f189(a99),f326(a5,f326(a112,f326(a22,x38321)))))
% 225.11/225.09 [3852]P39(x38521,f306(x38521,f188(f925(f924(x38521,x38521),a913))))
% 225.11/225.09 [3853]P51(x38531,f306(x38531,f188(f925(f924(x38531,x38531),a913))))
% 225.11/225.09 [3854]E(f326(f309(a1,a917,a105),f326(f309(a917,a1,f100(a1)),x38541)),x38541)
% 225.11/225.09 [3885]E(f326(f326(f308(a917),f2(a917)),f326(f309(a917,a917,a112),f326(f281(a917),x38851))),f326(f281(a917),f326(a112,x38851)))
% 225.11/225.09 [3891]P54(x38911,x38911,f306(x38911,f188(f925(f924(x38911,x38911),a913))))
% 225.11/225.09 [3897]P105(f326(a193,f326(f78(a1),f326(f100(a1),f326(a112,x38971)))))
% 225.11/225.09 [3907]E(f326(f326(f3(f925(a917,a913)),f326(f282(a917),x39071)),f326(f326(f308(a917),x39071),f188(f925(a917,a913)))),f326(f282(a917),f326(a112,x39071)))
% 225.11/225.09 [3924]E(f326(f326(f79(a1),f326(f326(f3(a1),a82),x39241)),f326(f326(f3(a1),a82),x39241)),f326(f326(f3(a1),a82),f326(f326(f79(a1),x39241),x39241)))
% 225.11/225.09 [3939]E(f326(f326(f308(f925(x39391,a913)),f188(f925(x39391,a913))),f188(f925(f925(x39391,a913),a913))),f326(f307(x39391),f188(f925(x39391,a913))))
% 225.11/225.09 [3967]E(f326(f326(f3(f925(a917,a913)),f326(f303(a917),x39671)),f326(f326(f308(a917),f326(a112,x39671)),f188(f925(a917,a913)))),f326(f303(a917),f326(a112,x39671)))
% 225.11/225.09 [4077]E(f326(f104(a917),f326(f326(f79(a1),x40771),x40771)),f326(f326(f85(a917,a917),f326(f104(a917),x40771)),f326(f326(f20(a917,a917,a917),f79(a917)),f7(a917))))
% 225.11/225.09 [4453]P14(x44531,f925(x44531,a913),f326(f326(f10(f925(x44531,a913),f925(f925(x44531,a913),f925(x44531,a913)),x44531),f326(f9(f925(x44531,a913),f925(x44531,a913),f925(x44531,a913)),f3(f925(x44531,a913)))),f326(f326(f9(x44531,f925(x44531,a913),f925(x44531,a913)),f308(x44531)),f188(f925(x44531,a913)))))
% 225.11/225.09 [4540]E(f326(f261(f924(a1,a1)),f326(f256(a1,a1,a913),f326(f326(f10(f925(a1,a913),f925(a1,a913),a1),f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),x45401)))),f235(a1)))),f106(x45401))
% 225.11/225.09 [4573]E(f326(f261(f924(a1,a1)),f326(f256(a1,a1,a913),f326(f326(f20(a1,f925(a1,a913),f925(a1,a913)),f326(f326(f10(f925(a913,a913),f925(f925(a1,a913),f925(a1,a913)),a1),f10(a913,a913,a1)),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),x45731)))),f235(a1)))),f107(x45731))
% 225.11/225.09 [4626]E(f326(f261(f924(f925(x46261,a913),f925(x46261,a913))),f326(f256(f925(x46261,a913),f925(x46261,a913),a913),f326(f326(f9(f925(x46261,a913),f925(f925(x46261,a913),a913),f925(f925(x46261,a913),a913)),f326(f326(f10(f925(f925(x46261,a913),f925(a913,a913)),f925(f925(f925(x46261,a913),a913),f925(f925(x46261,a913),a913)),f925(x46261,a913)),f20(f925(x46261,a913),a913,a913)),f326(f326(f10(f925(f925(x46261,a913),a913),f925(f925(x46261,a913),f925(a913,a913)),f925(x46261,a913)),f326(f10(a913,f925(a913,a913),f925(x46261,a913)),a324)),f235(f925(x46261,a913))))),f60(x46261)))),f313(x46261))
% 225.11/225.09 [4734]~P105(f326(f60(f918(x47341)),f241(f925(f918(x47341),a913))))
% 225.11/225.09 [4746]~P105(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x47461)))))
% 225.11/225.09 [3687]E(f326(f326(f3(a1),f326(f326(f79(a1),x36871),a97)),a97),x36871)
% 225.11/225.09 [3701]E(f326(f172(a917),f139(a917,f326(f301(a917,f2(a917)),x37011))),f326(f281(a917),x37011))
% 225.11/225.09 [3946]E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x39461)),x39461),f326(f326(f3(a1),f326(f326(f79(a1),x39461),x39461)),a97))
% 225.11/225.09 [3995]E(f326(f285(x39951,x39951),f306(x39951,f188(f925(f924(x39951,x39951),a913)))),f306(x39951,f188(f925(f924(x39951,x39951),a913))))
% 225.11/225.09 [4042]P105(f326(f326(f234(a917),x40421),f326(f326(f80(a917),x40421),f326(f326(f80(a917),x40421),x40421))))
% 225.11/225.09 [4314]P105(f326(f60(a917),f326(f261(a917),f326(f326(f9(a917,a917,a913),f234(a917)),x43141))))
% 225.11/225.09 [4315]P105(f326(f60(a917),f326(f261(a917),f326(f326(f9(a917,a917,a913),f235(a917)),x43151))))
% 225.11/225.09 [4589]E(f326(f261(f924(x45891,x45891)),f326(f326(f10(f925(x45891,a913),a913,f924(x45891,x45891)),f86(x45891)),f326(f326(f9(f924(x45891,x45891),f925(x45891,f924(x45891,x45891)),f925(x45891,a913)),f326(f326(f10(f925(f924(x45891,x45891),a913),f925(f925(x45891,f924(x45891,x45891)),f925(x45891,a913)),f924(x45891,x45891)),f10(f924(x45891,x45891),a913,x45891)),a323)),f326(f326(f20(x45891,x45891,f924(x45891,x45891)),f251(x45891,x45891)),f7(x45891))))),f306(x45891,f188(f925(f924(x45891,x45891),a913))))
% 225.11/225.09 [4736]~E(f326(f326(f3(a1),f326(f326(f79(a1),x47361),x47361)),a97),a82)
% 225.11/225.09 [4738]~E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x47381)),x47381),f2(a1))
% 225.11/225.09 [4088]E(f326(f326(f79(a1),f326(f326(f3(a1),a97),x40881)),f326(f326(f3(a1),a97),x40881)),f326(f326(f3(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x40881),x40881)),a97)))
% 225.11/225.09 [4205]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42051)),f326(f326(f3(a1),a97),x42051))),a97),f326(f326(f3(a1),a97),f326(f326(f79(a1),x42051),x42051)))
% 225.11/225.09 [4237]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x42371),a97)),f326(f326(f79(a1),x42371),a97))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x42371),x42371)),a97))
% 225.11/225.09 [4275]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42751)),f326(f326(f3(a1),a97),x42751))),a97),f326(f326(f3(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x42751),x42751)),a97)))
% 225.11/225.09 [4374]E(f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x43741),f2(a917))),f188(f925(f924(a917,a917),a913))))),f326(f100(a1),x43741))
% 225.11/225.09 [4384]E(f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),f331(x43841)),f438(x43841))),f188(f925(f924(a917,a917),a913))))),x43841)
% 225.11/225.09 [4417]E(f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x44171)),f326(f309(a917,a1,f100(a1)),f326(f261(a917),f326(f326(f10(a1,a913,a917),x44171),f100(a1)))))
% 225.11/225.09 [4461]P40(f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x44611)))
% 225.11/225.09 [4481]P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x44811),f188(f925(f924(a917,a917),a913)))),a71))
% 225.11/225.09 [4486]E(f326(f309(a1,a917,a105),f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f10(a917,a913,a1),x44861),a105)))),f326(f261(a917),x44861))
% 225.11/225.09 [4642]E(f311(a917,f326(f326(f38(f924(a917,a917),f925(a917,a913)),f326(a108,x46421)),f326(f256(a917,a917,f925(a917,a913)),f326(f326(f9(a917,f925(a917,a913),f925(a917,f925(a917,a913))),f326(f326(f10(f925(a917,f925(f925(a917,a913),f925(a917,a913))),f925(f925(a917,a913),f925(a917,f925(a917,a913))),a917),f9(a917,f925(a917,a913),f925(a917,a913))),f326(f326(f10(f925(a917,a917),f925(a917,f925(f925(a917,a913),f925(a917,a913))),a917),f326(f10(a917,f925(f925(a917,a913),f925(a917,a913)),a917),f308(a917))),f3(a917)))),f188(f925(a917,a913)))))),f326(a105,x46421))
% 225.11/225.09 [4135]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41351),x41351)),a97)),a97),f326(f326(f79(a1),x41351),x41351))
% 225.11/225.09 [4185]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41851),x41851)),a97)),a97),f326(f326(f79(a1),f326(f326(f3(a1),x41851),a97)),f326(f326(f3(a1),x41851),a97)))
% 225.11/225.09 [4390]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),f326(f78(a1),x43901)),a97)),f326(f326(f79(a1),f326(f78(a1),x43901)),a97))),a97),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43901),x43901)),a97)))
% 225.11/225.09 [4434]E(f326(f326(f79(a917),x44341),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,x44341)))
% 225.11/225.09 [4435]E(f326(f326(f80(a917),x44351),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(a917),x44351),x44351))
% 225.11/225.09 [4436]E(f326(f326(f35(a917),f326(f326(f79(a917),x44361),x44361)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x44361)
% 225.11/225.09 [4514]E(f44(a917,f326(a112,f326(a112,x45141)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a917,x45141,f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.11/225.09 [4656]E(f326(a88,f326(f326(f38(f924(a917,a917),f925(f924(a917,a917),a913)),f326(a108,x46561)),f326(f256(a917,a917,f925(f924(a917,a917),a913)),f326(f326(f10(f925(a917,f925(f924(a917,a917),a913)),f925(a917,f925(f924(a917,a917),a913)),a917),f326(f10(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913),a917),f284(f924(a917,a917),f924(a917,a917),a109))),f326(f326(f9(a917,f925(f924(a917,a917),a913),f925(a917,f925(f924(a917,a917),a913))),f326(f326(f10(f925(a917,f925(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f925(f925(f924(a917,a917),a913),f925(a917,f925(f924(a917,a917),a913))),a917),f9(a917,f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f10(f925(a917,f924(a917,a917)),f925(a917,f925(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),a917),f326(f10(f924(a917,a917),f925(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),a917),f308(f924(a917,a917)))),f326(f9(a917,a917,f924(a917,a917)),f251(a917,a917))))),f188(f925(f924(a917,a917),a913))))))),f326(f78(a1),x46561))
% 225.11/225.09 [4509]E(f326(f326(f79(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45091),f326(a112,f326(a112,x45091)))
% 225.11/225.09 [4510]E(f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45101),f326(f326(f79(a917),x45101),x45101))
% 225.11/225.09 [4546]E(f326(f326(f35(a917),f326(a112,f326(a112,x45461))),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(f326(f35(a917),x45461),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.11/225.09 [4596]E(f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x45961),f326(a112,f326(a112,f326(a112,x45961))))
% 225.11/225.09 [4663]E(f326(f256(a1,a1,f924(a1,a1)),f326(f326(f20(a1,f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f925(f924(a1,a1),f924(a1,a1))),f925(f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),a1),f20(a1,f924(a1,a1),f924(a1,a1))),f326(f326(f10(f925(a1,f924(a1,a1)),f925(a1,f925(f924(a1,a1),f924(a1,a1))),a1),f326(f20(a1,f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),f326(f326(f10(a913,f925(f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),a1),f96(f924(a1,a1))),f326(f326(f10(a1,a913,a1),f326(f234(a1),f2(a1))),f326(f326(f9(a1,a1,a1),f3(a1)),x46631))))),f326(f326(f9(a1,f925(a1,a1),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f924(a1,a1)),f925(f925(a1,a1),f925(a1,f924(a1,a1))),a1),f10(a1,f924(a1,a1),a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f925(a1,a1),a1),f79(a1)),f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f77(a1))))),f326(f326(f9(a1,a1,a1),f3(a1)),x46631))))),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f42(x46631))
% 225.11/225.09 [3362]P104(f923(x33621,x33622))
% 225.11/225.09 [3363]P104(f922(x33631,x33632))
% 225.11/225.09 [3364]P104(f924(x33641,x33642))
% 225.11/225.09 [3381]P13(a1,f178(x33811,x33812))
% 225.11/225.09 [3382]P37(x33821,f153(x33821,x33822))
% 225.11/225.09 [3383]P38(x33831,f262(x33831,x33832))
% 225.11/225.09 [3384]P38(x33841,f306(x33841,x33842))
% 225.11/225.09 [3385]P39(x33851,f262(x33851,x33852))
% 225.11/225.09 [3386]P51(x33861,f262(x33861,x33862))
% 225.11/225.09 [3449]P31(x34491,x34492,f113(x34491))
% 225.11/225.09 [3482]P52(x34821,x34822,f262(x34821,x34822))
% 225.11/225.09 [3483]P54(x34831,x34831,f262(x34831,x34832))
% 225.11/225.09 [3750]P25(x37501,x37501,f7(x37501),x37502)
% 225.11/225.09 [3751]P25(x37511,x37511,f31(x37511),x37512)
% 225.11/225.09 [3759]P32(x37591,x37592,f113(x37591),f113(x37591))
% 225.11/225.09 [3767]P25(f918(x37671),f918(x37671),f168(x37671),x37672)
% 225.11/225.09 [4175]P26(x41751,x41751,f31(x41751),x41752,x41752)
% 225.11/225.09 [4672]~E(f30(x46721,x46722),a25)
% 225.11/225.09 [4673]~E(f29(x46731,x46732),a25)
% 225.11/225.09 [4698]~P33(x46981,x46982,f113(x46981))
% 225.11/225.09 [4699]~P35(x46991,x46992,f113(x46991))
% 225.11/225.09 [3348]E(f326(f7(x33481),x33482),x33482)
% 225.11/225.09 [3349]E(f326(f261(x33491),x33492),x33492)
% 225.11/225.09 [3351]E(f326(f31(x33511),x33512),x33512)
% 225.11/225.09 [3361]E(f326(f191(x33611),x33612),f115(x33611))
% 225.11/225.09 [3379]E(f84(x33791,f326(a323,x33792)),x33792)
% 225.11/225.09 [3380]E(f89(x33801,f326(a323,x33802)),x33802)
% 225.11/225.09 [3402]E(f326(f125(x34021,x34022),f119(x34021)),f2(a917))
% 225.11/225.09 [3405]E(f326(f136(x34051,x34052),f113(x34051)),f113(x34051))
% 225.11/225.09 [3425]E(f306(x34251,f306(x34251,x34252)),f306(x34251,x34252))
% 225.11/225.09 [3426]E(f152(x34261,f152(x34261,x34262)),f152(x34261,x34262))
% 225.11/225.09 [3444]E(f326(f326(f134(x34441),x34442),f113(x34441)),x34442)
% 225.11/225.09 [3450]E(f173(x34501,x34502,f113(x34501)),x34502)
% 225.11/225.09 [3451]E(f173(x34511,f113(x34511),x34512),x34512)
% 225.11/225.09 [3452]E(f116(x34521,f119(x34521),x34522),x34522)
% 225.11/225.09 [3453]E(f169(x34531,f2(a917),x34532),f113(x34531))
% 225.11/225.09 [3459]E(f326(f326(f175(x34591),x34592),f113(x34591)),f113(x34591))
% 225.11/225.09 [3460]E(f326(f326(f138(x34601),x34602),f113(x34601)),f113(x34601))
% 225.11/225.09 [3462]E(f155(x34621,x34622,f113(x34621)),f2(a917))
% 225.11/225.09 [3464]E(f170(x34641,x34642,f113(x34641)),f113(x34641))
% 225.11/225.09 [3465]E(f177(x34651,x34652,f113(x34651)),f113(x34651))
% 225.11/225.09 [3466]E(f176(x34661,f113(x34661),x34662),f113(x34661))
% 225.11/225.09 [3470]E(f326(f172(x34701),f152(x34701,x34702)),f326(f172(x34701),x34702))
% 225.11/225.09 [3473]E(f326(f283(x34731,x34731),f262(x34731,x34732)),x34732)
% 225.11/225.09 [3474]E(f326(f263(x34741,x34741),f262(x34741,x34742)),x34742)
% 225.11/225.09 [3481]E(f326(f285(x34811,x34811),f262(x34811,x34812)),f262(x34811,x34812))
% 225.11/225.09 [3494]E(f306(f918(x34941),f157(x34941,x34942)),f158(x34941,f306(x34941,x34942)))
% 225.11/225.09 [3496]P105(f326(f137(a1),f178(x34961,x34962)))
% 225.11/225.09 [3504]E(f326(f283(x35041,x35041),f306(x35041,x35042)),f241(f925(x35041,a913)))
% 225.11/225.09 [3505]E(f326(f263(x35051,x35051),f306(x35051,x35052)),f241(f925(x35051,a913)))
% 225.11/225.09 [3509]P105(f326(f137(x35091),f152(x35091,x35092)))
% 225.11/225.09 [3511]P105(f326(f160(x35111,x35112),f113(x35111)))
% 225.11/225.09 [3517]E(f326(f172(a1),f178(x35171,x35172)),f302(a1,x35171,x35172))
% 225.11/225.09 [3531]P55(x35311,f188(f925(x35311,a913)),x35312)
% 225.11/225.09 [3536]E(f326(f255(a1,a1),f45(x35361,x35362)),f44(a1,x35361,x35362))
% 225.11/225.09 [3537]E(f326(f301(a917,x35371),f326(a112,x35372)),f302(a917,x35371,x35372))
% 225.11/225.09 [3553]E(f326(f326(f151(x35531),x35532),f113(x35531)),f140(x35531,x35532,f113(x35531)))
% 225.11/225.09 [3565]E(f302(a917,f326(a112,x35651),x35652),f304(a917,x35651,x35652))
% 225.11/225.09 [3568]P52(x35681,f241(f925(x35681,a913)),f306(x35681,x35682))
% 225.11/225.09 [3632]E(f326(f326(f3(a917),x36321),f326(a112,x36322)),f326(f34(a917),f305(a917,x36322,x36321)))
% 225.11/225.09 [3688]E(f166(x36881,x36882,f113(x36881)),f326(f326(f251(f918(x36881),f918(x36881)),f113(x36881)),f113(x36881)))
% 225.11/225.09 [3706]E(f326(f256(x37061,x37062,f924(x37061,x37062)),f251(x37061,x37062)),f31(f924(x37061,x37062)))
% 225.11/225.09 [3710]P105(f326(f326(f328(f918(x37101)),f113(x37101)),f161(x37101,x37102)))
% 225.11/225.09 [3711]E(f326(f189(f918(x37111)),f114(x37111,x37112)),f326(f326(f3(a917),f326(f189(f918(x37111)),x37112)),f77(a917)))
% 225.11/225.09 [3719]P105(f326(f60(a917),f305(a917,x37191,x37192)))
% 225.11/225.09 [3720]P105(f326(f60(a917),f302(a917,x37201,x37202)))
% 225.11/225.09 [3721]P105(f326(f60(a917),f304(a917,x37211,x37212)))
% 225.11/225.09 [3722]P105(f326(f60(a1),f305(a1,x37221,x37222)))
% 225.11/225.09 [3723]P105(f326(f60(a1),f302(a1,x37231,x37232)))
% 225.11/225.09 [3724]P105(f326(f60(a1),f304(a1,x37241,x37242)))
% 225.11/225.09 [3828]E(f326(f309(a917,a917,a112),f302(a917,x38281,x38282)),f302(a917,f326(a112,x38281),f326(a112,x38282)))
% 225.11/225.09 [3848]E(f326(f326(f288(x38481,x38481,x38481),f306(x38481,x38482)),f306(x38481,x38482)),f306(x38481,x38482))
% 225.11/225.09 [3883]E(f326(f326(f251(a99,a99),f326(f326(f35(a99),x38831),x38832)),f44(a99,x38831,x38832)),f23(x38831,x38832))
% 225.11/225.09 [3884]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x38841),x38842)),f44(a1,x38841,x38842)),f45(x38841,x38842))
% 225.11/225.09 [3911]E(f326(f326(f251(a917,a917),f326(f326(f35(a917),x39111),x39112)),f44(a917,x39111,x39112)),f84(f924(a917,a917),f47(x39111,x39112)))
% 225.11/225.09 [3963]P105(f326(f326(f235(a917),f326(f326(f3(a917),x39631),x39632)),f326(a112,x39631)))
% 225.11/225.09 [4013]P38(x40131,f326(f326(f288(x40131,x40131,x40131),x40132),f306(x40131,x40132)))
% 225.11/225.09 [4064]E(f326(f326(f79(a1),f326(f326(f80(a1),x40641),f326(f326(f35(a1),x40642),x40641))),f44(a1,x40642,x40641)),x40642)
% 225.11/225.09 [4068]E(f326(f326(f38(a917,f925(f924(f918(x40681),f918(x40681)),a913)),f241(f925(a917,a913))),f143(x40681,x40682)),f145(x40681,x40682))
% 225.11/225.09 [4291]P105(f326(f326(f328(f924(f918(x42911),f918(x42911))),f326(f326(f251(f918(x42911),f918(x42911)),f113(x42911)),f113(x42911))),f158(x42911,x42912)))
% 225.11/225.09 [4402]E(f252(x44021,x44021,x44021,a323,f252(x44021,x44021,x44021,x44022,a323)),x44022)
% 225.11/225.09 [4446]E(f257(x44461,x44461,x44462,x44462,f7(x44461),f7(x44462)),f31(f924(x44461,x44462)))
% 225.11/225.09 [4448]E(f257(x44481,x44481,x44482,x44482,f31(x44481),f31(x44482)),f31(f924(x44481,x44482)))
% 225.11/225.09 [3443]E(f326(f168(x34431),f326(f168(x34431),x34432)),x34432)
% 225.11/225.09 [3445]E(f326(f326(f138(x34451),f2(a917)),x34452),x34452)
% 225.11/225.09 [3461]E(f326(f326(f175(x34611),f2(a917)),x34612),f113(x34611))
% 225.11/225.09 [3468]E(f326(f326(f134(x34681),f113(x34681)),x34682),x34682)
% 225.11/225.09 [3477]E(f36(f925(x34771,a913),f326(f307(x34771),x34772)),x34772)
% 225.11/225.09 [3479]E(f326(f172(x34791),f326(f167(x34791),x34792)),f326(f172(x34791),x34792))
% 225.11/225.09 [3480]E(f326(f172(x34801),f326(f168(x34801),x34802)),f326(f172(x34801),x34802))
% 225.11/225.09 [3485]E(f326(f326(f3(a99),x34851),x34852),f326(f326(a4,x34851),x34852))
% 225.11/225.09 [3498]E(f326(f326(f80(a917),x34981),x34982),f326(f326(f80(a917),x34982),x34981))
% 225.11/225.09 [3499]E(f326(f326(f80(a1),x34991),x34992),f326(f326(f80(a1),x34992),x34991))
% 225.11/225.09 [3500]E(f326(f326(f79(a917),x35001),x35002),f326(f326(f79(a917),x35002),x35001))
% 225.11/225.09 [3501]E(f326(f326(f79(a1),x35011),x35012),f326(f326(f79(a1),x35012),x35011))
% 225.11/225.09 [3523]E(f326(f326(f183(x35231,x35231),f2(a917)),x35232),f31(x35231))
% 225.11/225.09 [3524]E(f326(f189(f918(x35241)),f326(f167(x35241),x35242)),f326(f189(f918(x35241)),x35242))
% 225.11/225.09 [3525]E(f326(f189(f918(x35251)),f326(f168(x35251),x35252)),f326(f189(f918(x35251)),x35252))
% 225.11/225.09 [3526]E(f176(x35261,x35262,f188(f925(a917,a913))),f113(x35261))
% 225.11/225.09 [3527]E(f326(f326(f154(x35271,x35271),f7(x35271)),x35272),x35272)
% 225.11/225.09 [3529]E(f326(f250(a1,a1),f45(x35291,x35292)),f326(f326(f35(a1),x35291),x35292))
% 225.11/225.09 [3546]E(f326(f189(f918(x35461)),f152(x35461,x35462)),f326(f34(x35461),f326(f172(x35461),x35462)))
% 225.11/225.09 [3547]E(f28(f29(x35471,x35472)),f326(f326(f79(a917),f28(x35472)),f326(a112,f2(a917))))
% 225.11/225.09 [3548]E(f326(f280(x35481),f326(f285(x35481,x35481),x35482)),f326(f280(x35481),x35482))
% 225.11/225.09 [3552]P105(f326(f60(x35521),f326(f172(x35521),x35522)))
% 225.11/225.09 [3560]E(f326(f326(f79(a1),x35601),f326(f78(a1),x35602)),f326(f326(f3(a1),x35601),x35602))
% 225.11/225.09 [3567]P24(x35671,x35672,f188(f925(f916(x35671),a913)))
% 225.11/225.09 [3569]E(f326(f309(x35691,x35691,f7(x35691)),x35692),x35692)
% 225.11/225.09 [3570]E(f326(f309(x35701,x35701,f31(x35701)),x35702),x35702)
% 225.11/225.09 [3571]E(f326(f310(x35711,x35711,f7(x35711)),x35712),x35712)
% 225.11/225.09 [3572]E(f326(f310(x35721,x35721,f31(x35721)),x35722),x35722)
% 225.11/225.09 [3573]P105(f326(f241(f925(x35731,a913)),x35732))
% 225.11/225.09 [3575]E(f326(f34(a917),f326(f301(a917,x35751),x35752)),f326(f326(f3(a917),x35752),x35751))
% 225.11/225.09 [3576]E(f326(f301(a917,f326(a112,x35761)),x35762),f305(a917,x35761,x35762))
% 225.11/225.09 [3589]E(f326(f326(f308(x35891),x35892),f188(f925(x35891,a913))),f326(f261(x35891),f326(a323,x35892)))
% 225.11/225.09 [3594]E(f306(x35941,f326(f285(x35941,x35941),x35942)),f326(f285(x35941,x35941),f306(x35941,x35942)))
% 225.11/225.09 [3599]E(f326(f326(f79(a917),f326(a112,x35991)),x35992),f326(f326(f79(a917),x35991),f326(a112,x35992)))
% 225.11/225.09 [3600]E(f326(f326(f3(a917),f326(a112,x36001)),f326(a112,x36002)),f326(f326(f3(a917),x36001),x36002))
% 225.11/225.09 [3606]E(f54(x36061,f2(a917),x36062),f326(f326(f151(f918(x36061)),f113(x36061)),f113(f918(x36061))))
% 225.11/225.09 [3607]E(f326(f34(a917),f304(a917,x36071,x36072)),f326(f326(f3(a917),x36072),x36071))
% 225.11/225.09 [3617]P37(x36171,f326(f326(f287(a917,x36171),a239),x36172))
% 225.11/225.09 [3619]P13(a917,f139(a917,f326(f301(a917,x36191),x36192)))
% 225.11/225.09 [3621]P105(f326(f60(a917),f326(f301(a917,x36211),x36212)))
% 225.11/225.09 [3622]P105(f326(f60(a1),f326(f301(a1,x36221),x36222)))
% 225.11/225.09 [3625]E(f326(f285(f918(x36251),f918(x36251)),f157(x36251,x36252)),f157(x36251,f326(f285(x36251,x36251),x36252)))
% 225.11/225.09 [3626]E(f326(f189(a914),f29(x36261,x36262)),f326(f326(f79(a917),f326(f189(a914),x36262)),f326(a112,f2(a917))))
% 225.11/225.09 [3628]E(f326(f301(a1,x36281),f326(f326(f79(a1),x36282),f77(a1))),f302(a1,x36281,x36282))
% 225.11/225.09 [3631]E(f326(f326(f35(a1),f326(f78(a1),x36311)),f326(f78(a1),x36312)),f326(f326(f35(a1),x36311),x36312))
% 225.11/225.09 [3639]E(f326(f326(f183(f924(x36391,x36391),a913),f77(a917)),x36392),x36392)
% 225.11/225.09 [3641]E(f326(f326(f3(f925(x36411,a913)),x36412),f188(f925(x36411,a913))),x36412)
% 225.11/225.09 [3642]E(f326(f326(f101(f925(x36421,a913)),x36422),f188(f925(x36421,a913))),x36422)
% 225.11/225.09 [3643]E(f326(f326(f102(f925(x36431,a913)),x36432),f241(f925(x36431,a913))),x36432)
% 225.11/225.09 [3644]E(f326(f250(a917,a917),f84(f924(a917,a917),f47(x36441,x36442))),f326(f326(f35(a917),x36441),x36442))
% 225.11/225.09 [3651]E(f302(a1,f326(f326(f79(a1),x36511),f77(a1)),x36512),f304(a1,x36511,x36512))
% 225.11/225.09 [3656]E(f326(f255(a917,a917),f84(f924(a917,a917),f47(x36561,x36562))),f44(a917,x36561,x36562))
% 225.11/225.09 [3666]P105(f326(f326(f328(x36661),x36662),f241(f925(x36661,a913))))
% 225.11/225.09 [3671]E(f326(f326(f3(a917),f326(a112,x36711)),x36712),f326(f34(a917),f302(a917,x36712,x36711)))
% 225.11/225.09 [3697]E(f326(f326(f3(f925(x36971,a913)),x36972),f241(f925(x36971,a913))),f188(f925(x36971,a913)))
% 225.11/225.09 [3698]E(f326(f326(f101(f925(x36981,a913)),x36982),f241(f925(x36981,a913))),f241(f925(x36981,a913)))
% 225.11/225.09 [3699]E(f326(f326(f102(f925(x36991,a913)),x36992),f188(f925(x36991,a913))),f188(f925(x36991,a913)))
% 225.11/225.09 [3714]E(f44(a1,f326(f100(a1),x37141),f326(f100(a1),x37142)),f326(f100(a1),f44(a917,x37141,x37142)))
% 225.11/225.09 [3715]E(f44(a1,f326(f78(a1),x37151),f326(f78(a1),x37152)),f326(f78(a1),f44(a1,x37151,x37152)))
% 225.11/225.09 [3726]E(f326(f189(f918(x37261)),f326(f171(x37261),x37262)),f326(f326(f3(a917),f326(f189(f918(x37261)),x37262)),f77(a917)))
% 225.11/225.09 [3752]E(f326(f326(f35(a1),f44(a1,x37521,x37522)),x37522),f2(a1))
% 225.11/225.09 [3761]E(f326(a5,f44(a917,f326(a22,x37611),f326(a22,x37612))),f44(a99,x37611,x37612))
% 225.11/225.09 [3795]E(f326(a5,f326(f326(f3(a917),f326(a22,x37951)),f326(a22,x37952))),f326(f326(f3(a99),x37951),x37952))
% 225.11/225.09 [3796]E(f326(a5,f326(f326(f80(a917),f326(a22,x37961)),f326(a22,x37962))),f326(f326(f80(a99),x37961),x37962))
% 225.11/225.09 [3797]E(f326(a5,f326(f326(f79(a917),f326(a22,x37971)),f326(a22,x37972))),f326(f326(f79(a99),x37971),x37972))
% 225.11/225.09 [3798]E(f326(a5,f326(f326(f35(a917),f326(a22,x37981)),f326(a22,x37982))),f326(f326(f35(a99),x37981),x37982))
% 225.11/225.09 [3806]E(f326(f309(a917,a917,a112),f326(f301(a917,x38061),x38062)),f326(f301(a917,f326(a112,x38061)),f326(a112,x38062)))
% 225.11/225.09 [3833]P105(f326(f47(x38331,x38332),f84(f924(a917,a917),f47(x38331,x38332))))
% 225.11/225.09 [3857]E(f326(f326(f79(a917),f326(f326(f79(a917),f28(x38571)),f28(x38572))),f326(a112,f2(a917))),f28(f30(x38571,x38572)))
% 225.11/225.09 [3858]E(f44(a917,f326(a112,f44(a917,x38581,x38582)),x38582),f44(a917,f326(a112,x38581),x38582))
% 225.11/225.09 [3870]E(f326(f326(f38(f925(x38701,a913),f925(x38701,a913)),x38702),f7(f925(x38701,a913))),f36(f925(x38701,a913),x38702))
% 225.11/225.09 [3871]E(f326(f326(f39(f925(x38711,a913),f925(x38711,a913)),x38712),f7(f925(x38711,a913))),f37(f925(x38711,a913),x38712))
% 225.11/225.09 [3872]E(f326(f309(f918(x38721),f925(x38721,a913),f172(x38721)),f326(f172(f918(x38721)),f53(x38721,x38722))),f326(f307(x38721),f326(f172(x38721),x38722)))
% 225.11/225.09 [3876]P105(f326(f326(f328(f925(x38761,a913)),x38762),f326(f307(x38761),x38762)))
% 225.11/225.09 [3882]E(f44(a1,f326(f78(a1),f44(a1,x38821,x38822)),x38822),f44(a1,f326(f78(a1),x38821),x38822))
% 225.11/225.09 [3893]P105(f326(f326(f234(f925(x38931,a913)),x38932),f241(f925(x38931,a913))))
% 225.11/225.09 [3895]E(f326(f326(f288(x38951,x38951,x38951),f306(x38951,x38952)),f306(x38951,f306(x38951,x38952))),f306(x38951,x38952))
% 225.11/225.09 [3896]E(f326(f326(f101(f925(x38961,a913)),f326(f263(x38961,x38961),x38962)),f326(f283(x38961,x38961),x38962)),f326(f280(x38961),x38962))
% 225.11/225.09 [3917]E(f312(x39171,x39172,f241(f925(x39171,a913)),f241(f925(x39172,a913))),f241(f925(f923(x39171,x39172),a913)))
% 225.11/225.09 [3968]P105(f326(f326(f234(a917),f44(a917,x39681,x39682)),x39681))
% 225.11/225.09 [3993]P105(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x39931))),f326(f100(a1),x39932)))
% 225.11/225.09 [4018]P105(f326(f326(f328(f925(x40181,a913)),f188(f925(x40181,a913))),f326(f307(x40181),x40182)))
% 225.11/225.09 [4023]E(f306(x40231,f326(f326(f288(x40231,x40231,x40231),x40232),f306(x40231,x40232))),f306(x40231,x40232))
% 225.11/225.09 [4026]E(f326(f326(f288(x40261,x40261,x40261),f306(x40261,x40262)),x40262),f326(f326(f288(x40261,x40261,x40261),x40262),f306(x40261,x40262)))
% 225.11/225.09 [4028]E(f326(a105,f326(f326(f79(a1),f326(f326(f3(a1),x40281),x40282)),f77(a1))),f326(f34(a1),f302(a1,x40282,x40281)))
% 225.11/225.09 [4043]E(f326(f283(x40431,x40431),f326(f326(f288(x40431,x40431,x40431),x40432),f306(x40431,x40432))),f326(f283(x40431,x40431),x40432))
% 225.11/225.09 [4044]E(f326(f263(x40441,x40441),f326(f326(f288(x40441,x40441,x40441),x40442),f306(x40441,x40442))),f326(f263(x40441,x40441),x40442))
% 225.11/225.09 [4060]E(f326(f326(f79(a917),f326(f326(f79(a917),f326(f189(a914),x40601)),f326(f189(a914),x40602))),f326(a112,f2(a917))),f326(f189(a914),f30(x40601,x40602)))
% 225.11/225.09 [4063]E(f326(f142(f918(x40631),f918(x40631),f134(x40631),f113(x40631)),f169(f918(x40631),x40632,f113(x40631))),f113(x40631))
% 225.11/225.09 [4072]P25(a917,a917,f326(f326(f9(a917,a917,a917),f79(a917)),x40721),x40722)
% 225.11/225.09 [4074]P13(a917,f326(f168(a917),f326(f326(f154(f918(x40741),a917),f189(f918(x40741))),f179(x40741,x40742))))
% 225.11/225.09 [4107]P51(x41071,f326(f326(f101(f925(f924(x41071,x41071),a913)),x41072),f326(f285(x41071,x41071),x41072)))
% 225.11/225.09 [4108]P51(x41081,f326(f326(f102(f925(f924(x41081,x41081),a913)),x41082),f326(f285(x41081,x41081),x41082)))
% 225.11/225.09 [4119]P105(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41191)))),f326(f100(a1),x41192)))
% 225.11/225.09 [4164]E(f326(f142(f918(x41641),x41641,f326(f9(x41641,f918(x41641),f918(x41641)),f151(x41641)),f113(x41641)),x41642),f326(f168(x41641),x41642))
% 225.11/225.09 [4212]P105(f326(f326(f234(f925(f924(f918(x42121),f918(x42121)),a913)),f158(x42121,x42122)),f306(f918(x42121),f157(x42121,x42122))))
% 225.11/225.09 [4241]P105(f326(f47(x42411,x42412),f326(f326(f251(a917,a917),f326(f326(f35(a917),x42411),x42412)),f44(a917,x42411,x42412))))
% 225.11/225.09 [4253]P105(f326(f326(f234(f925(f924(f918(x42531),f918(x42531)),a913)),f157(x42531,f306(x42531,x42532))),f306(f918(x42531),f157(x42531,x42532))))
% 225.11/225.09 [4471]E(f326(f326(f258(f924(a99,a99),a99,f924(a99,a99),f924(x44711,f924(a99,a99))),f266(f326(f165(a99),f326(f326(f154(f924(a99,x44711),a99),f250(a99,x44711)),x44712)))),f326(f326(f10(x44711,f925(f924(a99,a99),f924(x44711,f924(a99,a99))),a99),f251(x44711,f924(a99,a99))),f267(x44711,x44712))),f265(x44711,x44712))
% 225.11/225.09 [4548]E(f223(a917,f924(x45481,f919(x45481)),f2(a917),f326(f256(x45481,f919(x45481),a917),f326(f18(f925(f919(x45481),a917),x45481),f326(f326(f9(f919(x45481),a917,a917),f326(f326(f10(a917,f925(a917,a917),f919(x45481)),f79(a917)),f189(f919(x45481)))),f77(a917)))),f326(f135(x45481),x45482)),f326(f189(f919(x45481)),x45482))
% 225.11/225.09 [4655]E(f326(f256(f925(f924(x46551,x46551),a913),f925(f924(x46551,x46551),a913),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f326(f326(f9(f925(f924(x46551,x46551),a913),f925(f925(f924(x46551,x46551),a913),f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913))),f925(f925(f924(x46551,x46551),a913),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913))))),f326(f326(f10(f925(f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913)),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f925(f925(f925(f924(x46551,x46551),a913),f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913))),f925(f925(f924(x46551,x46551),a913),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913))))),f925(f924(x46551,x46551),a913)),f10(f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913)),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913))),f925(f924(x46551,x46551),a913))),f326(f326(f10(f925(f925(x46552,x46551),f925(f925(f924(x46552,x46552),a913),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f925(f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913)),f925(f925(x46552,x46551),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f925(f924(x46551,x46551),a913)),f20(f925(x46552,x46551),f925(f924(x46552,x46552),a913),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f326(f326(f10(f925(f925(x46552,x46551),f925(f924(x46552,x46552),a913)),f925(f925(x46552,x46551),f925(f925(f924(x46552,x46552),a913),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f925(f924(x46551,x46551),a913)),f326(f10(f925(f924(x46552,x46552),a913),f925(f925(f924(x46552,x46552),a913),f924(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913))),f925(x46552,x46551)),f251(f925(f924(x46552,x46552),a913),f925(f924(x46552,x46552),a913)))),f287(x46551,x46552))))),f287(x46551,x46552))),f73(x46551,x46552))
% 225.11/225.09 [4718]~E(f326(f307(x47181),x47182),f188(f925(f925(x47181,a913),a913)))
% 225.11/225.09 [4729]~P105(f326(f326(f172(x47291),f113(x47291)),x47292))
% 225.11/225.09 [4733]~P105(f326(f326(f328(x47331),x47332),f188(f925(x47331,a913))))
% 225.11/225.09 [4741]~P105(f326(f326(f235(f925(x47411,a913)),x47412),f188(f925(x47411,a913))))
% 225.11/225.09 [3578]E(f326(f326(f3(a917),x35781),f326(f326(f79(a917),x35781),x35782)),f2(a917))
% 225.11/225.09 [3581]E(f326(f326(f101(f925(x35811,a913)),x35812),x35812),x35812)
% 225.11/225.09 [3582]E(f326(f326(f102(f925(x35821,a913)),x35822),x35822),x35822)
% 225.11/225.09 [3611]E(f326(f326(f3(f925(x36111,a913)),x36112),x36112),f188(f925(x36111,a913)))
% 225.11/225.09 [3614]E(f326(f143(x36141,x36142),f2(a917)),f188(f925(f924(f918(x36141),f918(x36141)),a913)))
% 225.11/225.09 [3615]E(f326(f326(f79(a917),x36151),f326(a112,x36152)),f326(a112,f326(f326(f79(a917),x36151),x36152)))
% 225.11/225.09 [3627]E(f194(f326(f100(a1),x36271),f326(f100(a1),x36272)),f326(f100(a1),f326(f326(f3(a917),x36271),x36272)))
% 225.11/225.09 [3630]E(f326(f326(f35(a1),f326(f78(a1),x36301)),x36302),f326(f326(f35(a1),x36301),f326(f78(a1),x36302)))
% 225.11/225.09 [3634]E(f326(f34(a1),f326(f301(a1,x36341),x36342)),f326(a105,f326(f326(f3(a1),x36342),x36341)))
% 225.11/225.09 [3637]E(f326(f326(f79(a917),f326(a112,x36371)),x36372),f326(a112,f326(f326(f79(a917),x36371),x36372)))
% 225.11/225.09 [3640]E(f326(f78(f925(x36401,a913)),f326(f78(f925(x36401,a913)),x36402)),x36402)
% 225.11/225.09 [3653]E(f179(x36531,f326(f326(f151(f918(x36531)),f113(x36531)),x36532)),f179(x36531,x36532))
% 225.11/225.09 [3657]E(f326(f326(f79(a917),x36571),f326(f326(f80(a917),x36571),x36572)),f326(f326(f80(a917),x36571),f326(a112,x36572)))
% 225.11/225.09 [3664]E(f326(f326(a4,f326(a5,x36641)),f326(a5,x36642)),f326(a5,f326(f326(f3(a917),x36641),x36642)))
% 225.11/225.09 [3679]E(f326(f326(f80(a1),f326(f78(a1),x36791)),x36792),f326(f78(a1),f326(f326(f80(a1),x36791),x36792)))
% 225.11/225.09 [3681]E(f326(f326(f243(a1),f326(f100(a1),x36811)),x36812),f326(f100(a1),f326(f326(f243(a917),x36811),x36812)))
% 225.11/225.09 [3682]E(f326(f326(f80(a99),f326(a5,x36821)),f326(a5,x36822)),f326(a5,f326(f326(f80(a917),x36821),x36822)))
% 225.11/225.09 [3683]E(f326(f326(f79(a99),f326(a5,x36831)),f326(a5,x36832)),f326(a5,f326(f326(f79(a917),x36831),x36832)))
% 225.11/225.09 [3684]E(f326(f326(f238(a917),f326(a112,x36841)),f326(a112,x36842)),f326(a112,f326(f326(f238(a917),x36841),x36842)))
% 225.11/225.09 [3685]E(f326(f326(f233(a917),f326(a112,x36851)),f326(a112,x36852)),f326(a112,f326(f326(f233(a917),x36851),x36852)))
% 225.11/225.09 [3690]E(f326(f172(a917),f139(a917,f326(f301(a917,x36901),x36902))),f326(f301(a917,x36901),x36902))
% 225.11/225.09 [3691]E(f311(x36911,f326(f326(f308(x36911),x36912),f188(f925(x36911,a913)))),x36912)
% 225.11/225.09 [3695]E(f326(f283(x36951,x36952),f188(f925(f924(x36951,x36952),a913))),f188(f925(x36952,a913)))
% 225.11/225.09 [3696]E(f326(f263(x36961,x36962),f188(f925(f924(x36961,x36962),a913))),f188(f925(x36961,a913)))
% 225.11/225.09 [3700]E(f326(a105,f326(f326(f3(a1),x37001),x37002)),f326(f34(a1),f304(a1,x37002,x37001)))
% 225.11/225.09 [3705]E(f326(f326(f79(a917),x37051),f326(f326(f80(a917),x37052),x37051)),f326(f326(f80(a917),f326(a112,x37052)),x37051))
% 225.11/225.09 [3707]E(f326(f326(f59(x37071),f188(f925(x37071,a913))),x37072),f188(f925(f925(x37071,a913),a913)))
% 225.11/225.09 [3716]E(f326(f189(f918(a917)),f139(a917,f326(f301(a917,x37161),x37162))),f326(f326(f3(a917),x37162),x37161))
% 225.11/225.09 [3731]E(f326(f326(f101(f925(x37311,a913)),f188(f925(x37311,a913))),x37312),x37312)
% 225.11/225.09 [3732]E(f326(f326(f102(f925(x37321,a913)),f241(f925(x37321,a913))),x37322),x37322)
% 225.11/225.09 [3735]E(f326(f326(f79(a1),f326(f78(a1),x37351)),f326(f78(a1),x37352)),f326(f78(a1),f326(f326(f79(a1),x37351),x37352)))
% 225.11/225.09 [3737]E(f326(f326(f80(a1),f326(f104(a1),x37371)),f326(f104(a1),x37372)),f326(f104(a1),f326(f326(f80(a1),x37371),x37372)))
% 225.11/225.09 [3739]E(f326(f326(f80(a1),f326(f100(a1),x37391)),f326(f100(a1),x37392)),f326(f100(a1),f326(f326(f80(a917),x37391),x37392)))
% 225.11/225.09 [3740]E(f326(f326(f79(a1),f326(f104(a1),x37401)),f326(f104(a1),x37402)),f326(f104(a1),f326(f326(f79(a1),x37401),x37402)))
% 225.11/225.09 [3742]E(f326(f326(f79(a1),f326(f100(a1),x37421)),f326(f100(a1),x37422)),f326(f100(a1),f326(f326(f79(a917),x37421),x37422)))
% 225.11/225.09 [3743]E(f326(f326(f35(a1),f326(f100(a1),x37431)),f326(f100(a1),x37432)),f326(f100(a1),f326(f326(f35(a917),x37431),x37432)))
% 225.11/225.09 [3762]E(f326(f326(f8(x37621,a917),f326(f18(a917,x37621),f77(a917))),x37622),f326(f34(x37621),x37622))
% 225.11/225.09 [3768]E(f326(f78(a1),f44(a1,f326(f78(a1),x37681),x37682)),f44(a1,x37681,f326(f78(a1),x37682)))
% 225.11/225.09 [3770]E(f326(f172(a1),f178(x37701,f326(f326(f3(a1),x37702),f77(a1)))),f326(f301(a1,x37701),x37702))
% 225.11/225.09 [3775]P105(f326(f326(f234(a917),x37751),f326(f326(f79(a917),x37752),x37751)))
% 225.11/225.09 [3776]P105(f326(f326(f234(a917),x37761),f326(f326(f79(a917),x37761),x37762)))
% 225.11/225.09 [3778]E(f326(f326(f3(f925(x37781,a913)),f188(f925(x37781,a913))),x37782),f188(f925(x37781,a913)))
% 225.11/225.09 [3779]E(f326(f326(f101(f925(x37791,a913)),f241(f925(x37791,a913))),x37792),f241(f925(x37791,a913)))
% 225.11/225.09 [3780]E(f326(f326(f102(f925(x37801,a913)),f188(f925(x37801,a913))),x37802),f188(f925(x37801,a913)))
% 225.11/225.09 [3787]E(f326(f326(f251(a1,a1),x37871),f326(f78(a1),x37872)),f326(a50,f326(f326(f251(a1,a1),x37871),x37872)))
% 225.11/225.09 [3788]E(f326(f301(a1,f326(f326(f79(a1),x37881),f77(a1))),x37882),f305(a1,x37881,x37882))
% 225.11/225.09 [3799]E(f326(f326(f80(a917),x37991),f326(f326(f35(a917),x37992),x37991)),f326(f326(f3(a917),x37992),f44(a917,x37992,x37991)))
% 225.11/225.09 [3800]E(f326(f326(f80(a1),x38001),f326(f326(f35(a1),x38002),x38001)),f326(f326(f3(a1),x38002),f44(a1,x38002,x38001)))
% 225.11/225.09 [3803]E(f326(f172(a1),f178(f326(f326(f79(a1),x38031),f77(a1)),x38032)),f304(a1,x38031,x38032))
% 225.11/225.09 [3807]P105(f326(f326(f234(f925(x38071,a913)),x38072),x38072))
% 225.11/225.09 [3810]E(f326(f326(f101(f925(x38101,a913)),x38102),f326(f78(f925(x38101,a913)),x38102)),f241(f925(x38101,a913)))
% 225.11/225.09 [3811]E(f326(f326(f102(f925(x38111,a913)),x38112),f326(f78(f925(x38111,a913)),x38112)),f188(f925(x38111,a913)))
% 225.11/225.09 [3819]E(f326(f326(f3(a917),f326(f326(f3(a917),x38191),f77(a917))),x38192),f326(f326(f3(a917),x38191),f326(a112,x38192)))
% 225.11/225.09 [3825]E(f326(f326(f3(f925(x38251,a913)),f241(f925(x38251,a913))),x38252),f326(f78(f925(x38251,a913)),x38252))
% 225.11/225.09 [3826]E(f326(f326(f3(a1),f326(f104(a1),x38261)),f326(f104(a1),x38262)),f326(f104(a1),f326(f326(f79(a1),x38261),f326(f78(a1),x38262))))
% 225.11/225.09 [3839]E(f326(f172(a917),f139(a917,f326(f301(a917,x38391),f326(a112,x38392)))),f302(a917,x38391,x38392))
% 225.11/225.09 [3855]E(f326(f189(f918(f918(x38551))),f53(x38551,x38552)),f326(f326(f243(a917),f326(a112,f326(a112,f2(a917)))),f326(f189(f918(x38551)),x38552)))
% 225.11/225.09 [3874]E(f326(f326(f183(f924(x38741,x38741),a913),f2(a917)),x38742),f306(x38741,f188(f925(f924(x38741,x38741),a913))))
% 225.11/225.09 [3878]P105(f326(f137(a917),f139(a917,f326(f301(a917,x38781),x38782))))
% 225.11/225.09 [3894]E(f326(f309(a1,a917,a105),f302(a1,f326(f100(a1),x38941),f326(f100(a1),x38942))),f302(a917,x38941,x38942))
% 225.11/225.09 [3903]E(f185(a917,f2(a917),f7(a917),f326(f326(f3(a917),x39031),x39032)),f326(f326(f3(a917),x39031),f326(a112,x39032)))
% 225.11/225.09 [3904]E(f326(a105,f326(f326(f3(a1),x39041),f326(f326(f79(a1),x39042),f77(a1)))),f326(f34(a1),f305(a1,x39042,x39041)))
% 225.11/225.09 [3940]E(f326(f326(f154(a917,a917),a112),f139(a917,f326(f301(a917,x39401),x39402))),f139(a917,f326(f301(a917,f326(a112,x39401)),f326(a112,x39402))))
% 225.11/225.09 [3948]E(f326(f172(a1),f178(f326(f326(f79(a1),x39481),f77(a1)),f326(f326(f3(a1),x39482),f77(a1)))),f305(a1,x39481,x39482))
% 225.11/225.09 [3960]P105(f326(f326(f234(f925(x39601,a913)),f188(f925(x39601,a913))),x39602))
% 225.11/225.09 [3964]E(f84(x39641,f326(f326(f9(x39641,x39641,a913),a323),x39642)),x39642)
% 225.11/225.09 [3965]E(f89(x39651,f326(f326(f9(x39651,x39651,a913),a323),x39652)),x39652)
% 225.11/225.09 [3969]E(f326(f172(a917),f139(a917,f326(f301(a917,f326(a112,x39691)),f326(a112,x39692)))),f304(a917,x39691,x39692))
% 225.11/225.09 [3996]E(f326(f326(f253(x39961,x39962),f241(f925(x39961,a913))),f326(f18(f925(x39962,a913),x39961),f241(f925(x39962,a913)))),f241(f925(f924(x39961,x39962),a913)))
% 225.11/225.09 [4030]E(f326(f261(x40301),f326(f326(f10(a913,a913,x40301),a321),x40302)),f326(f78(f925(x40301,a913)),f326(f261(x40301),x40302)))
% 225.11/225.09 [4033]E(f326(f261(x40331),f326(f326(f9(x40331,x40331,a913),a323),x40332)),f326(f326(f308(x40331),x40332),f188(f925(x40331,a913))))
% 225.11/225.09 [4040]E(f326(f326(f79(a1),f326(f326(f3(a1),x40401),x40402)),f326(f326(f3(a1),x40401),x40402)),f326(f326(f3(a1),f326(f326(f79(a1),x40401),x40401)),f326(f326(f79(a1),x40402),x40402)))
% 225.11/225.09 [4041]E(f326(f326(f79(a1),f326(f326(f79(a1),x40411),x40411)),f326(f326(f79(a1),x40412),x40412)),f326(f326(f79(a1),f326(f326(f79(a1),x40411),x40412)),f326(f326(f79(a1),x40411),x40412)))
% 225.11/225.09 [4057]P105(f326(f326(f234(a917),f326(f34(x40571),f326(f172(x40571),x40572))),f326(f189(f918(x40571)),x40572)))
% 225.11/225.09 [4058]P105(f326(f326(f234(a917),f326(f189(f918(x40581)),f152(x40581,x40582))),f326(f189(f918(x40581)),x40582)))
% 225.11/225.09 [4069]E(f326(f261(x40691),f326(f326(f9(x40691,f925(x40691,a913),a913),f328(x40691)),x40692)),x40692)
% 225.11/225.09 [4083]E(f326(f326(f175(x40831),f326(f326(f3(a917),f326(f189(f918(x40831)),x40832)),f77(a917))),x40832),f114(x40831,x40832))
% 225.11/225.09 [4106]E(f185(a917,f2(a917),f326(f326(f10(a917,a917,a917),a112),f326(f238(a917),x41061)),x41062),f326(f326(f238(a917),f326(a112,x41061)),x41062))
% 225.11/225.09 [4111]E(f36(f925(x41111,a913),f326(f309(f925(f924(x41111,x41111),a913),f925(x41111,a913),f280(x41111)),x41112)),f326(f280(x41111),f36(f925(f924(x41111,x41111),a913),x41112)))
% 225.11/225.09 [4112]E(f185(a917,f326(a112,x41121),f326(f326(f10(a917,a917,a917),a112),f326(f233(a917),x41121)),x41122),f326(f326(f233(a917),f326(a112,x41121)),x41122))
% 225.11/225.09 [4114]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),f326(f75(a1),x41141)),f326(f75(a1),x41142))),f44(a1,f326(f75(a1),x41141),f326(f75(a1),x41142))),f52(x41141,x41142))
% 225.11/225.09 [4137]P105(f326(f326(f234(f925(f925(x41371,a913),a913)),x41372),f326(f307(x41371),f36(f925(x41371,a913),x41372))))
% 225.11/225.09 [4169]E(f326(f326(f38(x41691,f925(x41691,a913)),x41692),f326(f326(f9(x41691,f925(x41691,a913),f925(x41691,a913)),f308(x41691)),f188(f925(x41691,a913)))),x41692)
% 225.11/225.09 [4170]E(f326(f326(f288(x41701,x41701,x41701),f326(f285(x41701,x41701),x41702)),f306(x41701,f326(f285(x41701,x41701),x41702))),f326(f285(x41701,x41701),f326(f326(f288(x41701,x41701,x41701),x41702),f306(x41701,x41702))))
% 225.11/225.09 [4233]E(f326(f172(x42331),f326(f142(f918(x42331),f918(x42331),f134(x42331),f113(x42331)),x42332)),f326(f326(f38(f918(x42331),f925(x42331,a913)),f326(f172(f918(x42331)),x42332)),f172(x42331)))
% 225.11/225.09 [4264]E(f326(f326(f101(f925(f924(x42641,x42641),a913)),f306(x42641,f188(f925(f924(x42641,x42641),a913)))),f326(f326(f288(x42641,x42641,x42641),f306(x42641,x42642)),x42642)),f306(x42641,x42642))
% 225.11/225.09 [4300]E(f326(f326(f181(x43001,x43001),x43002),x43002),f326(f326(f154(x43001,f924(x43001,x43001)),f326(f326(f20(x43001,x43001,f924(x43001,x43001)),f251(x43001,x43001)),f7(x43001))),x43002))
% 225.11/225.09 [4413]E(f326(f142(a917,f918(x44131),f326(f9(f918(x44131),a917,a917),f326(f326(f10(a917,f925(a917,a917),f918(x44131)),f233(a917)),f189(f918(x44131)))),f2(a917)),f326(f168(f918(x44131)),x44132)),f326(f189(f918(f918(x44131))),f179(x44131,x44132)))
% 225.11/225.09 [4485]E(f326(f326(f287(f924(a917,f918(x44851)),f918(x44851)),f318(a917,f918(x44851),a239,f145(x44851,x44852))),f326(f326(f20(f918(x44851),f918(x44851),f924(a917,f918(x44851))),f326(f326(f10(a917,f925(f918(x44851),f924(a917,f918(x44851))),f918(x44851)),f251(a917,f918(x44851))),f189(f918(x44851)))),f7(f918(x44851)))),f146(x44851,x44852))
% 225.11/225.09 [4612]E(f326(f261(x46121),f326(f326(f10(f925(f925(x46121,a913),a913),a913,x46121),f86(f925(x46121,a913))),f326(f326(f10(f925(f925(x46121,a913),a913),f925(f925(x46121,a913),a913),x46121),f326(f20(f925(x46121,a913),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x46121,a913)),a324),f326(f326(f9(f925(x46121,a913),f925(f925(x46121,a913),a913),a913),f328(f925(x46121,a913))),x46122)))),f328(x46121)))),f36(f925(x46121,a913),x46122))
% 225.11/225.09 [4613]E(f326(f261(x46131),f326(f326(f10(f925(f925(x46131,a913),a913),a913,x46131),f87(f925(x46131,a913))),f326(f326(f10(f925(f925(x46131,a913),a913),f925(f925(x46131,a913),a913),x46131),f326(f20(f925(x46131,a913),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x46131,a913)),a329),f326(f326(f9(f925(x46131,a913),f925(f925(x46131,a913),a913),a913),f328(f925(x46131,a913))),x46132)))),f328(x46131)))),f37(f925(x46131,a913),x46132))
% 225.11/225.09 [4742]~P105(f326(f326(f235(a1),f326(f100(a1),x47421)),f326(f78(a1),f326(f100(a1),x47422))))
% 225.11/225.09 [3703]E(f326(f326(f3(a917),f326(f326(f79(a917),x37031),x37032)),x37032),x37031)
% 225.11/225.09 [3704]E(f326(f326(f3(a917),f326(f326(f79(a917),x37041),x37042)),x37041),x37042)
% 225.11/225.09 [3769]E(f326(f326(f79(a917),f326(f326(f3(a917),x37691),x37692)),x37692),f326(f326(f233(a917),x37691),x37692))
% 225.11/225.09 [3881]E(f326(f326(f80(a917),f326(f326(f35(a917),x38811),x38812)),x38812),f326(f326(f3(a917),x38811),f44(a917,x38811,x38812)))
% 225.11/225.09 [3908]E(f326(f172(a917),f139(a917,f326(f301(a917,f326(a112,x39081)),x39082))),f305(a917,x39081,x39082))
% 225.11/225.09 [3916]E(f326(f100(a1),f216(f326(a105,f326(f75(a1),x39161)),f326(a105,f326(f75(a1),x39162)))),f326(f326(a217,x39161),x39162))
% 225.11/225.09 [3918]E(f326(f326(f101(f925(x39181,a913)),f326(f78(f925(x39181,a913)),x39182)),x39182),f241(f925(x39181,a913)))
% 225.11/225.09 [3919]E(f326(f326(f102(f925(x39191,a913)),f326(f78(f925(x39191,a913)),x39192)),x39192),f188(f925(x39191,a913)))
% 225.11/225.09 [3936]P105(f326(f326(f234(a917),f326(f326(f3(a917),x39361),x39362)),x39361))
% 225.11/225.09 [3937]P105(f326(f326(f234(a917),f326(f326(f35(a917),x39371),x39372)),x39371))
% 225.11/225.09 [3961]P105(f326(f326(f235(a917),x39611),f326(a112,f326(f326(f79(a917),x39612),x39611))))
% 225.11/225.09 [3962]P105(f326(f326(f235(a917),x39621),f326(a112,f326(f326(f79(a917),x39621),x39622))))
% 225.11/225.09 [3980]E(f326(f326(f80(a917),f326(a105,f326(f75(a1),x39801))),f326(a105,f326(f75(a1),x39802))),f326(a105,f326(f75(a1),f326(f326(f80(a1),x39801),x39802))))
% 225.11/225.09 [3992]P105(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x39921)),x39922)))
% 225.11/225.09 [4062]E(f326(f284(f918(x40621),f918(x40621),f158(x40621,x40622)),f326(f326(f308(f918(x40621)),f113(x40621)),f188(f925(f918(x40621),a913)))),f326(f326(f308(f918(x40621)),f113(x40621)),f188(f925(f918(x40621),a913))))
% 225.11/225.09 [4081]E(f326(f326(f101(f925(f924(x40811,x40811),a913)),f306(x40811,x40812)),f306(x40811,f188(f925(f924(x40811,x40811),a913)))),f306(x40811,x40812))
% 225.11/225.09 [4094]E(f326(f326(f35(a1),f326(f104(a1),f326(f326(f79(a1),x40941),x40941))),f326(f104(a1),f326(f326(f79(a1),x40942),x40942))),f326(f326(f35(a1),f326(f104(a1),x40941)),f326(f104(a1),x40942)))
% 225.11/225.09 [4159]E(f326(f326(f243(a1),x41591),f326(f104(a917),f326(f326(f79(a1),x41592),x41592))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x41591),f326(f104(a917),x41592))),f326(f326(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 225.11/225.09 [4165]E(f326(f261(f925(x41651,a913)),f326(f326(f9(f925(x41651,a913),f925(x41651,a913),a913),f234(f925(x41651,a913))),x41652)),f326(f307(x41651),x41652))
% 225.11/225.09 [4181]E(f326(f326(f154(a1,a917),a105),f326(f326(f134(a1),f326(f326(f154(a917,a1),f100(a1)),x41811)),f326(f326(f154(a917,a1),f100(a1)),x41812))),f326(f326(f134(a917),x41811),x41812))
% 225.11/225.09 [4211]E(f326(f309(a1,a1,f326(f326(f9(a1,a1,a1),f79(a1)),x42111)),f326(f301(a1,f2(a1)),f326(f326(f3(a1),x42112),x42111))),f326(f301(a1,x42111),x42112))
% 225.11/225.09 [4213]P53(x42131,f326(f326(f3(f925(f924(x42131,x42131),a913)),x42132),f306(x42131,f188(f925(f924(x42131,x42131),a913)))))
% 225.11/225.09 [4231]E(f326(f189(f918(x42311)),f326(f142(f918(x42311),f918(x42311),f134(x42311),f113(x42311)),x42312)),f326(f165(a917),f326(f326(f154(f918(x42311),a917),f189(f918(x42311))),x42312)))
% 225.11/225.09 [4235]P52(x42351,f241(f925(x42351,a913)),f326(f326(f101(f925(f924(x42351,x42351),a913)),x42352),f306(x42351,f188(f925(f924(x42351,x42351),a913)))))
% 225.11/225.09 [4280]E(f185(a917,f2(a917),f326(f326(f10(a917,a917,a917),a112),f326(f326(f9(a917,a917,a917),f238(a917)),x42801)),x42802),f326(f326(f238(a917),x42802),f326(a112,x42801)))
% 225.11/225.09 [4283]E(f185(a917,f326(a112,x42831),f326(f326(f10(a917,a917,a917),a112),f326(f326(f9(a917,a917,a917),f233(a917)),x42831)),x42832),f326(f326(f233(a917),x42832),f326(a112,x42831)))
% 225.11/225.09 [4286]E(f326(f309(x42861,f918(x42861),f326(f326(f9(x42861,f918(x42861),f918(x42861)),f151(x42861)),f113(x42861))),x42862),f174(x42861,x42862,f326(f326(f308(f918(x42861)),f113(x42861)),f188(f925(f918(x42861),a913)))))
% 225.11/225.09 [4288]E(f326(f326(f101(f925(f924(x42881,x42881),a913)),f326(f326(f288(x42881,x42881,x42881),x42882),f306(x42881,x42882))),f306(x42881,f188(f925(f924(x42881,x42881),a913)))),f306(x42881,x42882))
% 225.11/225.09 [4295]P105(f326(f326(f234(f925(f924(x42951,x42951),a913)),f262(x42951,x42952)),f326(f326(f253(x42951,x42951),x42952),f326(f18(f925(x42951,a913),x42951),x42952))))
% 225.11/225.09 [4298]E(f326(f309(a1,a917,a105),f326(f326(f101(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),x42981)),f326(f309(a917,a1,f100(a1)),x42982))),f326(f326(f101(f925(a917,a913)),x42981),x42982))
% 225.11/225.09 [4299]E(f326(f309(a1,a917,a105),f326(f326(f102(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),x42991)),f326(f309(a917,a1,f100(a1)),x42992))),f326(f326(f102(f925(a917,a913)),x42991),x42992))
% 225.11/225.09 [4302]E(f326(f261(x43021),f326(f326(f10(a913,a913,x43021),a321),f326(f326(f9(x43021,f925(x43021,a913),a913),f328(x43021)),x43022))),f326(f78(f925(x43021,a913)),x43022))
% 225.11/225.09 [4329]E(f326(f142(f918(x43291),f918(x43291),f134(x43291),f113(x43291)),f326(f326(f154(f918(x43291),f918(x43291)),f168(x43291)),f326(f168(f918(x43291)),x43292))),f326(f168(x43291),f326(f142(f918(x43291),f918(x43291),f134(x43291),f113(x43291)),x43292)))
% 225.11/225.09 [4357]E(f326(f326(f38(a917,f925(f924(x43571,x43571),a913)),f241(f925(a917,a913))),f326(f326(f9(a917,f925(f924(x43571,x43571),a913),f925(f924(x43571,x43571),a913)),f183(f924(x43571,x43571),a913)),x43572)),f306(x43571,x43572))
% 225.11/225.09 [4375]E(f84(x43751,f326(f326(f10(f925(x43751,a913),a913,x43751),f326(a323,x43752)),f326(f326(f9(x43751,f925(x43751,a913),f925(x43751,a913)),f308(x43751)),f188(f925(x43751,a913))))),f311(x43751,x43752))
% 225.11/225.09 [4383]E(f326(f189(f918(x43831)),f152(x43831,f326(f142(f918(x43831),f918(x43831),f134(x43831),f113(x43831)),x43832))),f326(f34(x43831),f326(f326(f38(f918(x43831),f925(x43831,a913)),f326(f172(f918(x43831)),x43832)),f172(x43831))))
% 225.11/225.09 [4397]E(f326(f326(f101(f925(f924(x43971,x43971),a913)),x43972),f326(f326(f288(x43971,x43971,x43971),f326(f326(f288(x43971,x43971,x43971),x43972),f306(x43971,x43972))),x43972)),f326(f326(f288(x43971,x43971,x43971),x43972),f306(x43971,x43972)))
% 225.11/225.09 [4421]P105(f326(f326(f234(f925(f924(x44211,x44211),a913)),f326(f326(f288(x44211,x44211,x44211),x44212),f306(x44211,x44212))),f326(f326(f253(x44211,x44211),f326(f280(x44211),x44212)),f326(f18(f925(x44211,a913),x44211),f326(f280(x44211),x44212)))))
% 225.11/225.09 [4462]E(f326(f261(f918(x44621)),f326(f326(f9(f918(x44621),f925(x44621,a913),a913),f326(f326(f10(f925(x44621,a913),f925(f925(x44621,a913),a913),f918(x44621)),f234(f925(x44621,a913))),f172(x44621))),x44622)),f161(x44621,x44622))
% 225.11/225.09 [4473]E(f326(f156(f918(x44731),x44731,f113(x44731),f326(f326(f10(f918(x44731),f925(f918(x44731),f918(x44731)),x44731),f326(f9(f918(x44731),f918(x44731),f918(x44731)),f134(x44731))),f326(f326(f9(x44731,f918(x44731),f918(x44731)),f151(x44731)),f113(x44731)))),x44732),f326(f167(x44731),x44732))
% 225.11/225.09 [4513]P25(f925(x45131,x45132),f925(f924(x45131,x45132),a913),f326(f326(f10(f925(f924(x45131,x45132),a913),f925(f924(x45131,x45132),a913),f925(x45131,x45132)),f261(f924(x45131,x45132))),f326(f326(f10(f925(x45131,f925(x45132,a913)),f925(f924(x45131,x45132),a913),f925(x45131,x45132)),f256(x45131,x45132,a913)),f326(f10(x45132,f925(x45132,a913),x45131),f326(f9(x45132,x45132,a913),a323)))),f241(f925(f925(x45131,x45132),a913)))
% 225.11/225.09 [4518]E(f44(a1,f326(f104(a1),f326(f326(f79(a1),x45181),x45181)),f326(f104(a1),f326(f326(f79(a1),x45182),x45182))),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f104(a1),x45181),f326(f104(a1),x45182))))
% 225.11/225.09 [4562]E(f326(f326(f38(x45621,f925(f924(x45621,x45621),a913)),x45622),f326(f326(f9(x45621,f925(f924(x45621,x45621),a913),f925(f924(x45621,x45621),a913)),f326(f326(f10(f924(x45621,x45621),f925(f925(f924(x45621,x45621),a913),f925(f924(x45621,x45621),a913)),x45621),f308(f924(x45621,x45621))),f326(f326(f20(x45621,x45621,f924(x45621,x45621)),f251(x45621,x45621)),f7(x45621)))),f188(f925(f924(x45621,x45621),a913)))),f262(x45621,x45622))
% 225.11/225.09 [4570]E(f202(x45701,f326(f326(f251(a1,a1),f326(f78(a1),f326(f326(f72(f924(a1,a1),a1,x45701,f250(a1,a1)),f212(x45701)),x45702))),f326(f326(f72(f924(a1,a1),a1,x45701,f255(a1,a1)),f212(x45701)),x45702))),f227(x45701,x45702))
% 225.11/225.09 [4652]E(f326(f261(f925(x46521,a913)),f326(f326(f10(f925(f925(x46521,a913),a913),a913,f925(x46521,a913)),f86(f925(x46521,a913))),f326(f326(f9(f925(x46521,a913),f925(f925(x46521,a913),a913),f925(f925(x46521,a913),a913)),f326(f326(f10(f925(f925(x46521,a913),f925(a913,a913)),f925(f925(f925(x46521,a913),a913),f925(f925(x46521,a913),a913)),f925(x46521,a913)),f20(f925(x46521,a913),a913,a913)),f326(f326(f10(f925(f925(x46521,a913),a913),f925(f925(x46521,a913),f925(a913,a913)),f925(x46521,a913)),f326(f10(a913,f925(a913,a913),f925(x46521,a913)),a324)),f326(f326(f9(f925(x46521,a913),f925(f925(x46521,a913),f925(x46521,a913)),f925(f925(x46521,a913),a913)),f326(f326(f10(f925(f925(x46521,a913),a913),f925(f925(f925(x46521,a913),f925(x46521,a913)),f925(f925(x46521,a913),a913)),f925(x46521,a913)),f10(f925(x46521,a913),a913,f925(x46521,a913))),a323)),f78(f925(x46521,a913)))))),f326(f326(f10(f925(f925(x46521,a913),a913),a913,f925(x46521,a913)),f326(f328(f925(x46521,a913)),x46522)),f307(x46521))))),f326(f307(x46521),f326(f78(f925(x46521,a913)),x46522)))
% 225.11/225.09 [4740]~E(f326(f326(f79(a1),x47401),x47401),f326(f326(f3(a1),f326(f326(f79(a1),x47402),x47402)),a97))
% 225.11/225.09 [4744]~P105(f326(f326(f235(a917),f326(f326(f79(a917),x47441),x47442)),x47442))
% 225.11/225.09 [4745]~P105(f326(f326(f235(a917),f326(f326(f79(a917),x47451),x47452)),x47451))
% 225.11/225.09 [3997]E(f326(f326(f3(a917),x39971),f326(f326(f80(a917),f326(f326(f35(a917),x39971),x39972)),x39972)),f44(a917,x39971,x39972))
% 225.11/225.09 [3998]E(f326(f326(f3(a1),x39981),f326(f326(f80(a1),f326(f326(f35(a1),x39981),x39982)),x39982)),f44(a1,x39981,x39982))
% 225.11/225.09 [4031]E(f326(f326(f154(a917,x40311),f326(f164(x40311),x40312)),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(x40311)),x40312)))),x40312)
% 225.11/225.09 [4090]E(f326(f284(x40901,x40901,f306(x40901,f188(f925(f924(x40901,x40901),a913)))),x40902),x40902)
% 225.11/225.09 [4216]E(f306(x42161,f326(f326(f3(f925(f924(x42161,x42161),a913)),x42162),f306(x42161,f188(f925(f924(x42161,x42161),a913))))),f306(x42161,x42162))
% 225.11/225.09 [4217]E(f306(x42171,f326(f326(f101(f925(f924(x42171,x42171),a913)),x42172),f306(x42171,f188(f925(f924(x42171,x42171),a913))))),f306(x42171,x42172))
% 225.11/225.09 [4267]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x42671),x42671)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x42672),x42672)),a97)),f326(f326(f79(a1),f326(f326(f3(a1),x42671),x42672)),f326(f326(f3(a1),x42671),x42672)))
% 225.11/225.09 [4307]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43071),x43072)),f326(f326(f79(a1),x43071),x43072))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x43071),x43071)),f326(f326(f3(a1),f326(f326(f79(a1),x43072),x43072)),a97)))
% 225.11/225.09 [4332]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43321),x43321)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x43322),x43322)),a97)),f326(f326(f79(a1),f326(f326(f79(a1),x43321),f326(f326(f3(a1),x43322),a97))),f326(f326(f79(a1),x43321),f326(f326(f3(a1),x43322),a97))))
% 225.11/225.09 [4345]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),x43451),x43452)),f326(f326(f3(a1),x43451),x43452))),a97),f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43451),x43451)),a97)),f326(f326(f79(a1),x43452),x43452)))
% 225.11/225.09 [4346]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43461),x43462)),f326(f326(f79(a1),x43461),x43462))),a97),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43461),x43461)),a97)),f326(f326(f79(a1),x43462),x43462)))
% 225.11/225.09 [4394]E(f326(f100(a1),f326(f326(f35(a917),f326(f326(f80(a917),f326(a105,f326(f75(a1),x43941))),f326(a105,f326(f75(a1),x43942)))),f216(f326(a105,f326(f75(a1),x43941)),f326(a105,f326(f75(a1),x43942))))),f218(x43941,x43942))
% 225.11/225.09 [4439]E(f326(f326(f258(f924(a99,a99),a99,f924(a99,a99),f924(x44391,f924(a99,a99))),f266(f326(a5,f326(f189(f918(x44391)),x44392)))),f326(f326(f10(x44391,f925(f924(a99,a99),f924(x44391,f924(a99,a99))),a99),f251(x44391,f924(a99,a99))),f326(f326(f10(a917,x44391,a99),f326(f164(x44391),x44392)),a22))),f274(x44391,x44392))
% 225.11/225.09 [4519]E(f326(f142(a917,f918(x45191),f326(f9(f918(x45191),a917,a917),f326(f326(f10(a917,f925(a917,a917),f918(x45191)),f233(a917)),f189(f918(x45191)))),f2(a917)),f326(f168(f918(x45191)),f179(x45191,x45192))),f326(f189(f918(f918(x45191))),f326(f136(f918(x45191),f326(f326(f10(a913,a913,f918(x45191)),a321),f326(f326(f9(f918(x45191),f918(x45191),a913),a323),f113(x45191)))),x45192)))
% 225.11/225.09 [4525]E(f326(f326(f38(a917,f925(x45251,a913)),f241(f925(a917,a913))),f326(f326(f9(a917,f925(a917,f925(x45251,a913)),f925(x45251,a913)),f326(f326(f10(f925(a917,a913),f925(f925(a917,f925(x45251,a913)),f925(x45251,a913)),a917),f38(a917,f925(x45251,a913))),f301(a917,f2(a917)))),x45252)),f326(f326(f38(a917,f925(x45251,a913)),f241(f925(a917,a913))),x45252))
% 225.11/225.09 [4547]P105(f326(f60(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),x45471)),f326(f326(f9(a917,a917,a913),f235(a917)),x45472)))))
% 225.11/225.09 [4660]E(f326(f261(f924(f918(x46601),f918(x46601))),f326(f256(f918(x46601),f918(x46601),a913),f326(f326(f20(f918(x46601),f925(f918(x46601),a913),f925(f918(x46601),a913)),f326(f326(f10(f925(f918(x46601),f925(a913,a913)),f925(f925(f918(x46601),a913),f925(f918(x46601),a913)),f918(x46601)),f20(f918(x46601),a913,a913)),f326(f326(f10(f925(f918(x46601),a913),f925(f918(x46601),f925(a913,a913)),f918(x46601)),f326(f10(a913,f925(a913,a913),f918(x46601)),a325)),f326(f326(f9(f918(x46601),f925(f918(x46601),a917),f925(f918(x46601),a913)),f326(f326(f10(f925(a917,a913),f925(f925(f918(x46601),a917),f925(f918(x46601),a913)),f918(x46601)),f10(a917,a913,f918(x46601))),f326(f326(f10(a917,f925(a917,a913),f918(x46601)),f235(a917)),f189(f918(x46601))))),f189(f918(x46601)))))),f326(f326(f20(f918(x46601),f925(f918(x46601),a913),f925(f918(x46601),a913)),f326(f326(f10(f925(f918(x46601),f925(a913,a913)),f925(f925(f918(x46601),a913),f925(f918(x46601),a913)),f918(x46601)),f20(f918(x46601),a913,a913)),f326(f326(f10(f925(f918(x46601),a913),f925(f918(x46601),f925(a913,a913)),f918(x46601)),f326(f10(a913,f925(a913,a913),f918(x46601)),a324)),f326(f326(f9(f918(x46601),f925(f918(x46601),a917),f925(f918(x46601),a913)),f326(f326(f10(f925(a917,a913),f925(f925(f918(x46601),a917),f925(f918(x46601),a913)),f918(x46601)),f10(a917,a913,f918(x46601))),f326(f326(f10(a917,f925(a917,a913),f918(x46601)),a323),f189(f918(x46601))))),f189(f918(x46601)))))),f326(f326(f9(f918(x46601),f925(f924(f918(x46601),f918(x46601)),a913),f925(f918(x46601),a913)),f326(f326(f10(f925(f918(x46601),f925(f925(f924(f918(x46601),f918(x46601)),a913),a913)),f925(f925(f924(f918(x46601),f918(x46601)),a913),f925(f918(x46601),a913)),f918(x46601)),f9(f918(x46601),f925(f924(f918(x46601),f918(x46601)),a913),a913)),f326(f326(f10(f925(f918(x46601),f924(f918(x46601),f918(x46601))),f925(f918(x46601),f925(f925(f924(f918(x46601),f918(x46601)),a913),a913)),f918(x46601)),f326(f10(f924(f918(x46601),f918(x46601)),f925(f925(f924(f918(x46601),f918(x46601)),a913),a913),f918(x46601)),f328(f924(f918(x46601),f918(x46601))))),f251(f918(x46601),f918(x46601))))),f145(x46601,x46602)))))),f146(x46601,x46602))
% 225.11/225.09 [4335]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43351),x43352)),f326(f326(f80(a1),x43351),x43352))),x43352),f326(f326(f80(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43351),x43351)),a97)),x43352))
% 225.11/225.09 [4438]E(f326(a105,f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x44381),x44382)),f188(f925(f924(a917,a917),a913)))))),f326(f326(f3(a917),x44381),x44382))
% 225.11/225.09 [4442]E(f326(f326(f288(x44421,x44421,x44421),f326(f326(f101(f925(f924(x44421,x44421),a913)),x44422),f306(x44421,f188(f925(f924(x44421,x44421),a913))))),f306(x44421,f326(f326(f101(f925(f924(x44421,x44421),a913)),x44422),f306(x44421,f188(f925(f924(x44421,x44421),a913)))))),f306(x44421,x44422))
% 225.11/225.09 [4479]E(f267(x44791,f326(f136(f924(a99,x44791),f326(f256(a99,x44791,a913),f326(f326(f10(a913,f925(x44791,a913),a99),f18(a913,x44791)),f326(f235(a99),f2(a99))))),x44792)),f267(x44791,x44792))
% 225.11/225.09 [4480]E(f265(x44801,f326(f136(f924(a99,x44801),f326(f256(a99,x44801,a913),f326(f326(f10(a913,f925(x44801,a913),a99),f18(a913,x44801)),f326(f235(a99),f2(a99))))),x44802)),f265(x44801,x44802))
% 225.11/225.09 [4482]E(f326(f78(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x44821),x44822)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x44822),x44821)),f188(f925(f924(a917,a917),a913))))))
% 225.11/225.09 [4538]E(f326(f326(f287(f918(a917),x45381),f145(a917,a239)),f326(f326(f9(x45381,f918(f925(x45381,a917)),f918(a917)),f326(f326(f10(f925(f925(x45381,a917),a917),f925(f918(f925(x45381,a917)),f918(a917)),x45381),f154(f925(x45381,a917),a917)),f326(f9(f925(x45381,a917),x45381,a917),f7(f925(x45381,a917))))),x45382)),f153(x45381,x45382))
% 225.11/225.09 [4559]E(f326(f326(f85(a1,a917),f326(f104(a1),f326(f326(f79(a1),x45591),a97))),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f2(a917))),f326(f326(f10(a917,a917,a1),a112),f326(f326(f10(a917,a917,a1),f326(f238(a917),x45592)),a105)))),f326(f326(f238(a917),f326(a112,x45592)),f326(f104(a917),x45591)))
% 225.11/225.09 [4560]E(f326(f326(f85(a1,a917),f326(f104(a1),f326(f326(f79(a1),x45601),a97))),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f326(a112,x45602))),f326(f326(f10(a917,a917,a1),a112),f326(f326(f10(a917,a917,a1),f326(f233(a917),x45602)),a105)))),f326(f326(f233(a917),f326(a112,x45602)),f326(f104(a917),x45601)))
% 225.11/225.09 [4580]E(f326(f142(f918(x45801),f918(x45801),f134(x45801),f113(x45801)),f326(f326(f154(f918(x45801),f918(x45801)),f156(f918(x45801),x45801,f113(x45801),f326(f326(f10(f918(x45801),f925(f918(x45801),f918(x45801)),x45801),f18(f918(x45801),f918(x45801))),f326(f326(f9(x45801,f918(x45801),f918(x45801)),f151(x45801)),f113(x45801))))),x45802)),f326(f326(f154(f918(x45801),x45801),f141(x45801)),f326(f136(f918(x45801),f326(f326(f10(a913,a913,f918(x45801)),a321),f326(f326(f9(f918(x45801),f918(x45801),a913),a323),f113(x45801)))),x45802)))
% 225.11/225.09 [4643]E(f326(f256(a1,a1,a913),f326(f326(f9(a1,f925(a1,a913),f925(a1,a913)),f326(f326(f10(f925(a1,f925(a913,a913)),f925(f925(a1,a913),f925(a1,a913)),a1),f20(a1,a913,a913)),f326(f326(f10(f925(a1,a913),f925(a1,f925(a913,a913)),a1),f326(f10(a913,f925(a913,a913),a1),a324)),f326(f326(f10(f925(a1,a1),f925(a1,a913),a1),f326(f10(a1,a913,a1),f326(a323,x46431))),f326(f326(f10(a1,f925(a1,a1),a1),f79(a1)),f326(f80(a1),x46432)))))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),f326(a329,f326(f326(f235(a1),f2(a1)),x46432))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f9(a1,a1,a913),f235(a1)),x46432))))),f326(f326(f10(a913,a913,a1),f326(a329,f326(a321,f326(f326(f235(a1),f2(a1)),x46432)))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f235(a1),x46432))),f326(f326(f9(a1,a1,a913),f234(a1)),f2(a1))))))),f48(x46431,x46432))
% 225.11/225.09 [4646]E(f326(f261(x46461),f326(f326(f10(f925(a917,a913),a913,x46461),f86(a917)),f326(f326(f9(x46461,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),x46461),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),x46461),f326(f10(a913,f925(a913,a913),a917),a324)),f326(f326(f9(x46461,f925(a917,x46461),f925(a917,a913)),f326(f326(f10(f925(x46461,a913),f925(f925(a917,x46461),f925(a917,a913)),x46461),f10(x46461,a913,a917)),a323)),f326(f164(x46461),x46462))))),f326(f326(f9(a917,a917,a913),f235(a917)),f326(f189(f918(x46461)),x46462))))),f326(f172(x46461),x46462))
% 225.11/225.09 [4452]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44521),a97)),x44522)),f326(f326(f3(a1),f326(f326(f79(a1),x44521),a97)),x44522))),a97),f326(f326(f3(a1),f326(f326(f79(a1),x44521),x44521)),f326(f326(f3(a1),f326(f326(f79(a1),x44522),x44522)),a97)))
% 225.11/225.09 [4575]E(f326(f142(f918(f918(x45751)),f918(f918(x45751)),f134(f918(x45751)),f113(f918(x45751))),f326(f326(f154(f918(x45751),f918(f918(x45751))),f156(f918(f918(x45751)),x45751,f113(f918(x45751)),f326(f18(f925(f918(x45751),f918(f918(x45751))),x45751),f326(f326(f9(f918(x45751),f918(f918(x45751)),f918(f918(x45751))),f151(f918(x45751))),f113(f918(x45751)))))),x45752)),f326(f326(f154(f918(x45751),f918(x45751)),f171(x45751)),f326(f136(f918(x45751),f326(f326(f10(a913,a913,f918(x45751)),a321),f326(f326(f9(f918(x45751),f918(x45751),a913),a323),f113(x45751)))),x45752)))
% 225.11/225.09 [4585]E(f326(f326(f85(a1,a917),f326(f104(a1),f326(f326(f79(a1),x45851),a97))),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f2(a917))),f326(f326(f10(a917,a917,a1),a112),f326(f326(f9(a1,a917,a917),f326(f326(f10(a917,f925(a917,a917),a1),f238(a917)),a105)),x45852)))),f326(f326(f238(a917),f326(f104(a917),x45851)),f326(a112,x45852)))
% 225.11/225.09 [4586]E(f326(f326(f85(a1,a917),f326(f104(a1),f326(f326(f79(a1),x45861),a97))),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f326(a112,x45862))),f326(f326(f10(a917,a917,a1),a112),f326(f326(f9(a1,a917,a917),f326(f326(f10(a917,f925(a917,a917),a1),f233(a917)),a105)),x45862)))),f326(f326(f233(a917),f326(f104(a917),x45861)),f326(a112,x45862)))
% 225.11/225.09 [4574]E(f326(f256(x45741,x45741,a913),f326(f326(f20(x45741,a913,f925(x45741,a913)),f326(f326(f10(f925(x45741,f925(a913,a913)),f925(a913,f925(x45741,a913)),x45741),f9(x45741,a913,a913)),f326(f326(f10(f925(x45741,a913),f925(x45741,f925(a913,a913)),x45741),f326(f10(a913,f925(a913,a913),x45741),a324)),a323))),x45742)),f262(x45741,x45742))
% 225.11/225.09 [4619]E(f326(f326(f35(a917),x46191),f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46192)),f326(f326(f35(a917),x46191),f326(a112,f326(a112,f326(a112,x46192)))))
% 225.11/225.09 [4620]E(f44(a917,x46201,f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46202)),f44(a917,x46201,f326(a112,f326(a112,f326(a112,x46202)))))
% 225.11/225.09 [4621]E(f44(a917,f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46211),x46212),f44(a917,f326(a112,f326(a112,f326(a112,x46211))),x46212))
% 225.11/225.09 [4633]E(f123(f326(x46331,f326(f326(f80(a99),f326(f104(a99),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46332))),f326(f200(x46331),x46332))
% 225.11/225.09 [4634]E(f326(f326(f35(a917),f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46341)),x46342),f326(f326(f35(a917),f326(a112,f326(a112,f326(a112,x46341)))),x46342))
% 225.11/225.09 [4692]~E(f27(x46921,x46922,x46923),a25)
% 225.11/225.09 [4693]~E(f26(x46931,x46932,x46933),a25)
% 225.11/225.09 [4697]~E(f126(x46971,x46972,x46973),f119(x46971))
% 225.11/225.09 [3427]E(f326(f192(x34271,x34272),x34273),f121(x34271,x34272))
% 225.11/225.09 [3446]E(f326(f199(x34461,x34462),x34463),f326(f129(x34461),x34462))
% 225.11/225.09 [3522]E(f326(f326(f154(x35221,x35222),x35223),f113(x35221)),f113(x35222))
% 225.11/225.09 [3562]E(f326(f184(x35621,x35622,x35623),f2(a917)),x35622)
% 225.11/225.09 [3564]E(f326(f326(f181(x35641,x35642),x35643),f113(x35642)),f113(f924(x35641,x35642)))
% 225.11/225.09 [3579]E(f326(f189(f918(x35791)),f169(x35791,x35792,x35793)),x35792)
% 225.11/225.09 [3598]E(f84(x35981,f61(x35981,x35982,x35983)),f326(f62(x35981,x35982),x35983))
% 225.11/225.09 [3602]E(f242(x36021,x36022,f242(x36022,x36021,x36023)),x36023)
% 225.11/225.09 [3623]E(f326(f168(x36231),f169(x36231,x36232,x36233)),f169(x36231,x36232,x36233))
% 225.11/225.09 [3650]E(f140(x36501,x36502,f152(x36501,x36503)),f152(x36501,f140(x36501,x36502,x36503)))
% 225.11/225.09 [3669]E(f326(f250(f918(x36691),f918(x36691)),f166(x36691,x36692,x36693)),f326(f136(x36691,x36692),x36693))
% 225.11/225.09 [3712]E(f326(f326(f151(x37121),x37122),f169(x37121,x37123,x37122)),f169(x37121,f326(a112,x37123),x37122))
% 225.11/225.09 [3744]E(f19(x37441,x37442,x37443,f2(a99)),x37442)
% 225.11/225.09 [3745]E(f185(x37451,x37452,x37453,f2(a917)),x37452)
% 225.11/225.09 [3746]E(f21(x37461,x37462,x37463,f2(a99)),x37462)
% 225.11/225.09 [3753]E(f163(x37531,x37532,x37533,f113(x37531)),f113(x37532))
% 225.11/225.09 [3754]E(f130(x37541,x37542,x37543,f119(x37541)),f119(x37542))
% 225.11/225.09 [3760]E(f326(f326(f164(x37601),f326(f326(f151(x37601),x37602),x37603)),f2(a917)),x37602)
% 225.11/225.09 [3789]E(f58(x37891,x37892,f113(x37891),x37893),f113(f924(x37891,x37892)))
% 225.11/225.09 [3809]P25(x38091,x38092,x38093,f188(f925(x38091,a913)))
% 225.11/225.09 [3912]E(f264(x39121,x39122,x39123),f326(f251(f925(a99,f925(a913,f921(f919(x39121)))),f924(a99,a99)),f40(x39121)))
% 225.11/225.09 [3970]E(f326(f72(x39701,x39702,x39701,x39703),f31(x39701)),x39703)
% 225.11/225.09 [4151]P105(f326(f326(f328(f924(x41511,x41511)),f326(f326(f251(x41511,x41511),x41512),x41512)),f306(x41511,x41513)))
% 225.11/225.09 [4749]~P105(f326(f326(f328(f924(f918(x47491),f918(x47491))),f326(f326(f251(f918(x47491),f918(x47491)),x47492),f113(x47491))),f145(x47491,x47493)))
% 225.11/225.09 [4750]~P105(f326(f326(f328(f924(f918(x47501),f918(x47501))),f326(f326(f251(f918(x47501),f918(x47501)),x47502),f113(x47501))),f147(x47501,x47503)))
% 225.11/225.09 [4751]~P105(f326(f326(f328(f924(f918(x47511),f918(x47511))),f326(f326(f251(f918(x47511),f918(x47511)),x47512),f113(x47511))),f157(x47511,x47513)))
% 225.11/225.09 [4752]~P105(f326(f326(f328(f924(f918(x47521),f918(x47521))),f326(f326(f251(f918(x47521),f918(x47521)),f113(x47521)),x47522)),f145(x47521,x47523)))
% 225.11/225.09 [4753]~P105(f326(f326(f328(f924(f918(x47531),f918(x47531))),f326(f326(f251(f918(x47531),f918(x47531)),f113(x47531)),x47532)),f157(x47531,x47533)))
% 225.11/225.09 [3497]E(f326(f326(f201(x34971),x34972),x34973),f202(x34971,f215(x34972,x34973)))
% 225.11/225.09 [3551]E(f326(f285(x35511,x35512),f326(f285(x35512,x35511),x35513)),x35513)
% 225.11/225.09 [3574]E(f326(f326(f181(x35741,x35742),f113(x35741)),x35743),f113(f924(x35741,x35742)))
% 225.11/225.09 [3577]E(f176(x35771,x35772,f326(f281(a917),x35773)),f326(f326(f175(x35771),x35773),x35772))
% 225.11/225.09 [3595]E(f152(x35951,f326(f136(x35951,x35952),x35953)),f326(f136(x35951,x35952),f152(x35951,x35953)))
% 225.11/225.09 [3596]E(f326(f283(x35961,x35962),f326(f285(x35962,x35961),x35963)),f326(f263(x35962,x35961),x35963))
% 225.11/225.09 [3597]E(f326(f263(x35971,x35972),f326(f285(x35972,x35971),x35973)),f326(f283(x35972,x35971),x35973))
% 225.11/225.09 [3616]E(f326(f136(x36161,x36162),f326(f168(x36161),x36163)),f326(f168(x36161),f326(f136(x36161,x36162),x36163)))
% 225.11/225.09 [3629]E(f326(f326(f138(x36291),x36292),f326(f171(x36291),x36293)),f326(f326(f138(x36291),f326(a112,x36292)),x36293))
% 225.11/225.09 [3645]E(f28(f26(x36451,x36452,x36453)),f326(f326(f79(a917),f28(x36453)),f326(a112,f2(a917))))
% 225.11/225.09 [3646]E(f326(f309(x36461,x36462,x36463),f188(f925(x36461,a913))),f188(f925(x36462,a913)))
% 225.11/225.09 [3647]E(f326(f284(x36471,x36472,x36473),f188(f925(x36471,a913))),f188(f925(x36472,a913)))
% 225.11/225.09 [3648]E(f326(f310(x36481,x36482,x36483),f188(f925(x36482,a913))),f188(f925(x36481,a913)))
% 225.11/225.09 [3649]E(f326(f310(x36491,x36492,x36493),f241(f925(x36492,a913))),f241(f925(x36491,a913)))
% 225.11/225.09 [3675]E(f120(x36751,f126(f919(x36751),x36752,x36753)),f116(x36751,x36752,f120(x36751,x36753)))
% 225.11/225.09 [3677]E(f326(f326(f308(x36771),x36772),f326(f172(x36771),x36773)),f326(f172(x36771),f140(x36771,x36772,x36773)))
% 225.11/225.09 [3764]E(f326(f189(a914),f26(x37641,x37642,x37643)),f326(f326(f79(a917),f326(f189(a914),x37643)),f326(a112,f2(a917))))
% 225.11/225.09 [3765]E(f326(f309(f924(x37651,x37652),x37652,f255(x37651,x37652)),x37653),f326(f283(x37651,x37652),x37653))
% 225.11/225.09 [3766]E(f326(f309(f924(x37661,x37662),x37661,f250(x37661,x37662)),x37663),f326(f263(x37661,x37662),x37663))
% 225.11/225.09 [3781]E(f326(f172(x37811),f169(x37811,f326(a112,x37812),x37813)),f326(f326(f308(x37811),x37813),f188(f925(x37811,a913))))
% 225.11/225.09 [3838]E(f326(f326(f251(x38381,x38382),f326(f250(x38381,x38382),x38383)),f326(f255(x38381,x38382),x38383)),x38383)
% 225.11/225.09 [3845]E(f326(f189(f919(x38451)),f126(x38451,x38452,x38453)),f326(f326(f79(a917),f326(f189(f919(x38451)),x38453)),f326(a112,f2(a917))))
% 225.11/225.09 [3847]E(f326(f326(f256(x38471,x38472,x38471),f18(x38471,x38472)),x38473),f326(f250(x38471,x38472),x38473))
% 225.11/225.09 [3925]E(f28(f27(x39251,x39252,x39253)),f326(f326(f79(a917),f326(f326(f79(a917),f28(x39252)),f28(x39253))),f326(a112,f2(a917))))
% 225.11/225.09 [3975]E(f326(f72(x39751,x39751,x39752,f31(x39751)),x39753),x39753)
% 225.11/225.09 [3983]E(f326(f326(f134(x39831),f169(x39831,x39832,x39833)),f326(f326(f151(x39831),x39833),f113(x39831))),f326(f326(f151(x39831),x39833),f169(x39831,x39832,x39833)))
% 225.11/225.09 [4084]E(f326(f189(a914),f27(x40841,x40842,x40843)),f326(f326(f79(a917),f326(f326(f79(a917),f326(f189(a914),x40842)),f326(f189(a914),x40843))),f326(a112,f2(a917))))
% 225.11/225.09 [4160]P105(f326(f326(f234(f925(x41601,a913)),f326(f172(x41601),f326(f136(x41601,x41602),x41603))),f326(f172(x41601),x41603)))
% 225.11/225.09 [4202]P105(f326(f326(f234(f925(x42021,a913)),f326(f172(x42021),f326(f326(f175(x42021),x42022),x42023))),f326(f172(x42021),x42023)))
% 225.11/225.09 [4203]P105(f326(f326(f234(f925(x42031,a913)),f326(f172(x42031),f326(f326(f138(x42031),x42032),x42033))),f326(f172(x42031),x42033)))
% 225.11/225.09 [4207]P105(f326(f326(f234(f925(x42071,a913)),f326(f172(x42071),f176(x42071,x42072,x42073))),f326(f172(x42071),x42072)))
% 225.11/225.09 [4208]P105(f326(f326(f234(f925(x42081,a913)),f326(f172(x42081),f170(x42081,x42082,x42083))),f326(f172(x42081),x42083)))
% 225.11/225.09 [4229]P25(f924(x42291,x42292),f924(x42292,x42291),f326(f256(x42291,x42292,f924(x42292,x42291)),f326(f9(x42292,x42291,f924(x42292,x42291)),f251(x42292,x42291))),x42293)
% 225.11/225.09 [4240]E(f326(f326(f326(f183(f918(x42401),f918(x42401)),f44(a917,x42402,f326(f189(f918(x42401)),x42403))),f167(x42401)),x42403),f326(f326(f326(f183(f918(x42401),f918(x42401)),x42402),f167(x42401)),x42403))
% 225.11/225.09 [4284]P105(f326(f326(f328(f924(f918(x42841),f918(x42841))),f326(f326(f251(f918(x42841),f918(x42841)),x42842),x42842)),f158(x42841,f306(x42841,x42843))))
% 225.11/225.09 [4425]E(f84(f924(x44251,x44252),f326(f326(f20(f924(x44251,x44252),x44252,a913),f326(f326(f10(x44251,f925(x44252,a913),f924(x44251,x44252)),x44253),f250(x44251,x44252))),f255(x44251,x44252))),f84(f924(x44251,x44252),f326(f256(x44251,x44252,a913),x44253)))
% 225.11/225.09 [4426]E(f89(f924(x44261,x44262),f326(f326(f20(f924(x44261,x44262),x44262,a913),f326(f326(f10(x44261,f925(x44262,a913),f924(x44261,x44262)),x44263),f250(x44261,x44262))),f255(x44261,x44262))),f89(f924(x44261,x44262),f326(f256(x44261,x44262,a913),x44263)))
% 225.11/225.09 [4459]E(f326(f326(f287(f924(a917,x44591),x44591),f318(a917,x44591,a239,x44592)),f326(f326(f20(x44591,x44591,f924(a917,x44591)),f326(f326(f10(a917,f925(x44591,f924(a917,x44591)),x44591),f251(a917,x44591)),x44593)),f7(x44591))),f320(x44591,x44593,x44592))
% 225.11/225.09 [4521]E(f326(f257(x45211,x45211,x45212,x45212,f7(x45211),f7(x45212)),x45213),x45213)
% 225.11/225.09 [4594]E(f326(f142(f918(f918(x45941)),f918(f918(x45941)),f134(f918(x45941)),f113(f918(x45941))),f326(f326(f154(f918(x45941),f918(f918(x45941))),f326(f326(f9(f918(x45941),f918(x45941),f918(f918(x45941))),f326(f326(f10(f925(x45941,f918(x45941)),f925(f918(x45941),f918(f918(x45941))),f918(x45941)),f154(x45941,f918(x45941))),f326(f9(x45941,f918(x45941),f918(x45941)),f151(x45941)))),x45942)),f54(x45941,x45943,x45942))),f54(x45941,f326(a112,x45943),x45942))
% 225.11/225.09 [4651]E(f223(a917,f924(x46511,f919(x46511)),f2(a917),f326(f256(x46511,f919(x46511),a917),f326(f326(f9(x46511,a917,f925(f919(x46511),a917)),f326(f326(f10(f925(f919(x46511),f925(a917,a917)),f925(a917,f925(f919(x46511),a917)),x46511),f9(f919(x46511),a917,a917)),f326(f326(f10(f925(f919(x46511),a917),f925(f919(x46511),f925(a917,a917)),x46511),f326(f10(a917,f925(a917,a917),f919(x46511)),f79(a917))),f326(f326(f9(x46511,f925(f919(x46511),a917),f925(f919(x46511),a917)),f326(f326(f10(f925(a917,a917),f925(f925(f919(x46511),a917),f925(f919(x46511),a917)),x46511),f10(a917,a917,f919(x46511))),f326(f326(f10(a917,f925(a917,a917),x46511),f79(a917)),x46512))),f125(x46511,x46512))))),f77(a917))),f326(f135(x46511),x46513)),f326(f125(x46511,x46512),x46513))
% 225.11/225.09 [4659]E(f326(f326(f85(a1,x46591),f218(f326(f326(f72(f924(a1,a1),a1,x46591,f255(a1,a1)),f212(x46591)),x46592),f326(f326(f72(f924(a1,a1),a1,x46591,f255(a1,a1)),f212(x46591)),x46593))),f326(f326(f20(a1,a1,x46591),f326(f326(f10(a1,f925(a1,x46591),a1),f201(x46591)),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f925(a1,a1),a1),f79(a1)),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f924(a1,a1),a1,x46591,f250(a1,a1)),f212(x46591)),x46592))),f326(f326(f9(a1,a1,a1),f35(a1)),f326(f326(f72(f924(a1,a1),a1,x46591,f255(a1,a1)),f212(x46591)),x46592))))),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f924(a1,a1),a1,x46591,f250(a1,a1)),f212(x46591)),x46593))),f326(f326(f9(a1,a1,a1),f35(a1)),f326(f326(f72(f924(a1,a1),a1,x46591,f255(a1,a1)),f212(x46591)),x46593)))))),f7(a1))),f230(x46591,x46592,x46593))
% 225.11/225.09 [4688]~E(f326(f326(f151(x46881),x46882),x46883),x46883)
% 225.11/225.09 [4695]~E(f326(f326(f151(x46951),x46952),x46953),f113(x46951))
% 225.11/225.09 [4709]~E(f326(f326(f308(x47091),x47092),x47093),f188(f925(x47091,a913)))
% 225.11/225.09 [4731]~E(f326(f309(x47311,f925(x47311,a913),x47312),x47313),f326(f307(x47311),x47313))
% 225.11/225.09 [3556]E(f326(f326(f159(x35561,f113(x35561)),x35562),x35563),f113(x35561))
% 225.11/225.09 [3557]E(f326(f141(x35571),f326(f326(f151(x35571),x35572),x35573)),x35572)
% 225.11/225.09 [3558]E(f326(f171(x35581),f326(f326(f151(x35581),x35582),x35583)),x35583)
% 225.11/225.09 [3601]E(f326(f326(f138(x36011),f77(a917)),f326(f326(f151(x36011),x36012),x36013)),x36013)
% 225.11/225.09 [3636]E(f114(x36361,f326(f326(f138(x36361),x36362),x36363)),f326(f326(f138(x36361),x36362),f114(x36361,x36363)))
% 225.11/225.09 [3638]E(f326(f326(f159(x36381,x36382),x36383),f326(f326(f164(x36381),x36382),x36383)),x36382)
% 225.11/225.09 [3659]E(f326(f326(f308(x36591),x36592),f326(f326(f308(x36591),x36592),x36593)),f326(f326(f308(x36591),x36592),x36593))
% 225.11/225.09 [3672]E(f326(f326(f308(x36721),x36722),f326(f172(x36721),x36723)),f326(f172(x36721),f326(f326(f151(x36721),x36722),x36723)))
% 225.11/225.09 [3674]E(f326(f326(f138(x36741),x36742),f326(f171(x36741),x36743)),f326(f171(x36741),f326(f326(f138(x36741),x36742),x36743)))
% 225.11/225.09 [3686]E(f326(f326(f175(x36861),f77(a917)),f326(f326(f151(x36861),x36862),x36863)),f326(f326(f151(x36861),x36862),f113(x36861)))
% 225.11/225.09 [3729]E(f326(f62(x37291,x37292),f326(f326(f308(x37291),x37293),f188(f925(x37291,a913)))),x37293)
% 225.11/225.09 [3771]E(f326(f326(f79(a917),x37711),f326(f326(f79(a917),x37712),x37713)),f326(f326(f79(a917),x37712),f326(f326(f79(a917),x37711),x37713)))
% 225.11/225.09 [3772]E(f326(f326(f79(a1),x37721),f326(f326(f79(a1),x37722),x37723)),f326(f326(f79(a1),x37722),f326(f326(f79(a1),x37721),x37723)))
% 225.11/225.09 [3777]E(f326(f326(f253(x37771,x37772),f188(f925(x37771,a913))),x37773),f188(f925(f924(x37771,x37772),a913)))
% 225.11/225.09 [3801]E(f326(f326(f101(f925(x38011,a913)),x38012),x38013),f326(f326(f101(f925(x38011,a913)),x38013),x38012))
% 225.11/225.09 [3802]E(f326(f326(f102(f925(x38021,a913)),x38022),x38023),f326(f326(f102(f925(x38021,a913)),x38023),x38022))
% 225.11/225.09 [3804]E(f326(f326(f134(x38041),x38042),f326(f326(f151(x38041),x38043),f113(x38041))),f326(f167(x38041),f326(f326(f151(x38041),x38043),x38042)))
% 225.11/225.09 [3805]E(f326(f326(f134(x38051),f326(f168(x38051),x38052)),f326(f168(x38051),x38053)),f326(f168(x38051),f326(f326(f134(x38051),x38053),x38052)))
% 225.11/225.09 [3815]E(f326(f171(x38151),f326(f326(f175(x38151),f326(a112,x38152)),x38153)),f326(f326(f175(x38151),x38152),f326(f171(x38151),x38153)))
% 225.11/225.09 [3823]P105(f326(f326(f328(x38231),x38232),f326(f326(f308(x38231),x38232),x38233)))
% 225.11/225.09 [3827]E(f326(f326(f39(x38271,f925(x38272,a913)),f188(f925(x38271,a913))),x38273),f241(f925(x38272,a913)))
% 225.11/225.09 [3830]E(f326(f284(x38301,x38301,f262(x38301,x38302)),x38303),f326(f326(f102(f925(x38301,a913)),x38302),x38303))
% 225.11/225.09 [3844]E(f326(f189(f918(x38441)),f326(f326(f151(x38441),x38442),x38443)),f326(f326(f79(a917),f326(f189(f918(x38441)),x38443)),f326(a112,f2(a917))))
% 225.11/225.09 [3849]E(f114(x38491,f326(f326(f134(x38491),x38492),f326(f326(f151(x38491),x38493),f113(x38491)))),x38492)
% 225.11/225.09 [3850]E(f144(x38501,f326(f326(f134(x38501),x38502),f326(f326(f151(x38501),x38503),f113(x38501)))),x38503)
% 225.11/225.09 [3859]E(f326(f326(f134(x38591),f326(f326(f175(x38591),x38592),x38593)),f326(f326(f138(x38591),x38592),x38593)),x38593)
% 225.11/225.09 [3868]E(f326(f326(f3(a917),f326(f326(f79(a917),x38681),x38682)),f326(f326(f79(a917),x38683),x38682)),f326(f326(f3(a917),x38681),x38683))
% 225.11/225.09 [3869]E(f326(f326(f3(a917),f326(f326(f79(a917),x38691),x38692)),f326(f326(f79(a917),x38691),x38693)),f326(f326(f3(a917),x38692),x38693))
% 225.11/225.09 [3875]E(f326(f326(f134(x38751),f326(f168(x38751),x38752)),f326(f326(f151(x38751),x38753),f113(x38751))),f326(f168(x38751),f326(f326(f151(x38751),x38753),x38752)))
% 225.11/225.09 [3877]E(f326(f326(f79(a917),f326(f189(f918(x38771)),x38772)),f326(f189(f918(x38771)),x38773)),f326(f189(f918(x38771)),f326(f326(f134(x38771),x38772),x38773)))
% 225.11/225.09 [3880]E(f326(f326(f79(a917),f326(f189(f918(x38801)),x38802)),f326(f189(f918(x38801)),x38803)),f326(f189(f918(x38801)),f173(x38801,x38802,x38803)))
% 225.11/225.09 [3887]E(f326(f326(f101(f925(x38871,a913)),f326(f172(x38871),x38872)),f326(f172(x38871),x38873)),f326(f172(x38871),f326(f326(f134(x38871),x38872),x38873)))
% 225.11/225.09 [3888]E(f44(a917,f326(f326(f80(a917),x38881),x38882),f326(f326(f80(a917),x38881),x38883)),f326(f326(f80(a917),x38881),f44(a917,x38882,x38883)))
% 225.11/225.09 [3900]E(f326(f326(f175(x39001),f326(f326(f3(a917),x39002),f77(a917))),f326(f171(x39001),x39003)),f326(f171(x39001),f326(f326(f175(x39001),x39002),x39003)))
% 225.11/225.09 [3905]E(f326(f326(f102(f925(x39051,a913)),x39052),f326(f78(f925(x39051,a913)),x39053)),f326(f326(f3(f925(x39051,a913)),x39052),x39053))
% 225.11/225.09 [3906]E(f326(f326(f3(f925(x39061,a913)),x39062),f326(f78(f925(x39061,a913)),x39063)),f326(f326(f102(f925(x39061,a913)),x39062),x39063))
% 225.11/225.09 [3929]E(f326(f326(f253(x39291,x39292),x39293),f326(f18(f925(x39292,a913),x39291),f188(f925(x39292,a913)))),f188(f925(f924(x39291,x39292),a913)))
% 225.11/225.09 [3931]E(f326(f326(f3(a917),f326(f326(f80(a917),x39311),x39312)),f326(f326(f80(a917),x39311),x39313)),f326(f326(f80(a917),x39311),f326(f326(f3(a917),x39312),x39313)))
% 225.11/225.09 [3932]E(f326(f326(f79(a917),f326(f326(f80(a917),x39321),x39322)),f326(f326(f80(a917),x39321),x39323)),f326(f326(f80(a917),x39321),f326(f326(f79(a917),x39322),x39323)))
% 225.11/225.09 [3933]E(f326(f326(f3(a1),f326(f326(f80(a1),x39331),x39332)),f326(f326(f80(a1),x39331),x39333)),f326(f326(f80(a1),x39331),f326(f326(f3(a1),x39332),x39333)))
% 225.11/225.09 [3934]E(f326(f326(f79(a1),f326(f326(f80(a1),x39341),x39342)),f326(f326(f80(a1),x39341),x39343)),f326(f326(f80(a1),x39341),f326(f326(f79(a1),x39342),x39343)))
% 225.11/225.09 [3935]E(f326(f326(f80(a1),f326(f326(f243(a1),x39351),x39352)),f326(f326(f243(a1),x39351),x39353)),f326(f326(f243(a1),x39351),f326(f326(f79(a917),x39352),x39353)))
% 225.11/225.09 [3949]E(f326(f326(f38(x39491,f925(x39492,a913)),x39493),f326(f18(f925(x39492,a913),x39491),f188(f925(x39492,a913)))),f188(f925(x39492,a913)))
% 225.11/225.09 [3951]E(f44(a917,f326(f326(f80(a917),x39511),x39512),f326(f326(f80(a917),x39513),x39512)),f326(f326(f80(a917),f44(a917,x39511,x39513)),x39512))
% 225.11/225.09 [3956]E(f44(a1,f326(f326(f3(a1),x39561),f44(a1,x39562,x39563)),x39563),f44(a1,f326(f326(f3(a1),x39561),x39562),x39563))
% 225.11/225.09 [3957]E(f44(a1,f326(f326(f80(a1),x39571),f44(a1,x39572,x39573)),x39573),f44(a1,f326(f326(f80(a1),x39571),x39572),x39573))
% 225.11/225.09 [3958]P105(f326(f326(f234(f925(x39581,a913)),x39582),f326(f326(f308(x39581),x39583),x39582)))
% 225.11/225.09 [4035]E(f326(f326(f39(f925(x40351,a913),f925(x40351,a913)),x40352),f326(f101(f925(x40351,a913)),x40353)),f326(f326(f101(f925(x40351,a913)),x40353),f37(f925(x40351,a913),x40352)))
% 225.11/225.09 [4036]E(f326(f326(f38(f925(x40361,a913),f925(x40361,a913)),x40362),f326(f102(f925(x40361,a913)),x40363)),f326(f326(f102(f925(x40361,a913)),x40363),f36(f925(x40361,a913),x40362)))
% 225.11/225.09 [4048]E(f326(f172(x40481),f326(f326(f326(f183(f918(x40481),f918(x40481)),x40482),f167(x40481)),x40483)),f326(f172(x40481),x40483))
% 225.11/225.09 [4052]E(f326(f326(f175(x40521),f326(f189(f918(x40521)),f177(x40521,x40522,x40523))),x40523),f177(x40521,x40522,x40523))
% 225.11/225.09 [4056]E(f326(f189(f918(x40561)),f326(f326(f326(f183(f918(x40561),f918(x40561)),x40562),f167(x40561)),x40563)),f326(f189(f918(x40561)),x40563))
% 225.11/225.09 [4059]E(f326(f326(f256(x40591,x40592,x40592),f326(f18(f925(x40592,x40592),x40591),f7(x40592))),x40593),f326(f255(x40591,x40592),x40593))
% 225.11/225.09 [4066]E(f44(a1,f326(f326(f3(a1),f44(a1,x40661,x40662)),x40663),x40662),f44(a1,f326(f326(f3(a1),x40661),x40663),x40662))
% 225.11/225.09 [4067]E(f44(a1,f326(f326(f243(a1),f44(a1,x40671,x40672)),x40673),x40672),f44(a1,f326(f326(f243(a1),x40671),x40673),x40672))
% 225.11/225.09 [4070]E(f326(f326(f38(f925(f924(x40701,x40702),a913),f925(x40702,a913)),x40703),f283(x40701,x40702)),f326(f283(x40701,x40702),f36(f925(f924(x40701,x40702),a913),x40703)))
% 225.11/225.09 [4071]E(f326(f326(f38(f925(f924(x40711,x40712),a913),f925(x40711,a913)),x40713),f263(x40711,x40712)),f326(f263(x40711,x40712),f36(f925(f924(x40711,x40712),a913),x40713)))
% 225.11/225.09 [4095]E(f326(f72(x40951,x40951,x40951,x40952),f326(f326(f183(x40951,x40951),x40953),x40952)),f326(f326(f183(x40951,x40951),f326(a112,x40953)),x40952))
% 225.11/225.09 [4115]E(f326(f326(f138(x41151),f326(f326(f3(a917),f326(f189(f918(x41151)),x41152)),x41153)),f326(f168(x41151),x41152)),f326(f168(x41151),f326(f326(f175(x41151),x41153),x41152)))
% 225.11/225.09 [4116]E(f326(f326(f175(x41161),f326(f326(f3(a917),f326(f189(f918(x41161)),x41162)),x41163)),f326(f168(x41161),x41162)),f326(f168(x41161),f326(f326(f138(x41161),x41163),x41162)))
% 225.11/225.09 [4118]E(f326(f326(f79(a917),f326(f165(a917),f326(f326(f154(x41181,a917),x41182),x41183))),f326(f189(f918(x41181)),x41183)),f155(x41181,x41182,x41183))
% 225.11/225.09 [4138]E(f326(f167(x41381),f326(f326(f326(f183(f918(x41381),f918(x41381)),x41382),f167(x41381)),x41383)),f326(f326(f326(f183(f918(x41381),f918(x41381)),f326(a112,x41382)),f167(x41381)),x41383))
% 225.11/225.09 [4152]P105(f326(f326(f234(a917),f326(f189(f918(x41521)),f326(f136(x41521,x41522),x41523))),f326(f189(f918(x41521)),x41523)))
% 225.11/225.09 [4168]E(f326(f326(f101(f925(f925(x41681,a913),a913)),f326(f307(x41681),x41682)),f326(f309(f925(x41681,a913),f925(x41681,a913),f326(f308(x41681),x41683)),f326(f307(x41681),x41682))),f326(f307(x41681),f326(f326(f308(x41681),x41683),x41682)))
% 225.11/225.09 [4199]P105(f326(f326(f234(a917),f326(f189(f918(x41991)),f177(x41991,x41992,x41993))),f326(f189(f918(x41991)),x41993)))
% 225.11/225.09 [4206]E(f326(f263(x42061,x42062),f326(f261(f924(x42061,x42062)),f326(f256(x42061,x42062,a913),x42063))),f326(f261(x42061),f326(f326(f10(f925(x42062,a913),a913,x42061),f86(x42062)),x42063)))
% 225.11/225.09 [4218]E(f326(f309(a917,a917,f326(f326(f9(a917,a917,a917),f79(a917)),x42181)),f302(a917,x42182,x42183)),f302(a917,f326(f326(f79(a917),x42182),x42181),f326(f326(f79(a917),x42183),x42181)))
% 225.11/225.09 [4232]E(f326(f309(a917,a917,f326(f326(f9(a917,a917,a917),f79(a917)),x42321)),f326(f301(a917,x42322),x42323)),f326(f301(a917,f326(f326(f79(a917),x42322),x42321)),f326(f326(f79(a917),x42323),x42321)))
% 225.11/225.09 [4250]E(f326(f326(f181(x42501,x42502),f326(f326(f154(f924(x42501,x42502),x42501),f250(x42501,x42502)),x42503)),f326(f326(f154(f924(x42501,x42502),x42502),f255(x42501,x42502)),x42503)),x42503)
% 225.11/225.09 [4255]E(f326(f326(f79(a917),f326(f326(f80(a917),x42551),f44(a917,f326(f326(f35(a917),x42552),x42551),x42553))),f44(a917,x42552,x42551)),f44(a917,x42552,f326(f326(f80(a917),x42551),x42553)))
% 225.11/225.09 [4268]E(f326(f326(f134(x42681),x42682),f326(f142(f918(x42681),f918(x42681),f134(x42681),f113(x42681)),x42683)),f326(f142(f918(x42681),f918(x42681),f134(x42681),x42682),x42683))
% 225.11/225.09 [4289]P105(f326(f326(f328(f924(x42891,x42891)),f326(f326(f251(x42891,x42891),x42892),x42892)),f326(f326(f183(f924(x42891,x42891),a913),f2(a917)),x42893)))
% 225.11/225.09 [4294]E(f326(f261(x42941),f326(f326(f10(f925(x42942,a913),a913,x42941),f86(x42942)),f326(f9(x42942,x42941,a913),x42943))),f326(f283(x42942,x42941),f326(f261(f924(x42942,x42941)),f326(f256(x42942,x42941,a913),x42943))))
% 225.11/225.09 [4311]E(f326(f326(f101(f925(x43111,a913)),f326(f326(f38(a917,f925(x43111,a913)),f302(a917,f77(a917),x43112)),x43113)),f326(x43113,f2(a917))),f326(f326(f38(a917,f925(x43111,a913)),f326(f300(a917),x43112)),x43113))
% 225.11/225.09 [4326]E(f326(f142(f918(x43261),f918(x43261),f134(x43261),f113(x43261)),f326(f326(f154(f918(x43261),f918(x43261)),f136(x43261,x43262)),x43263)),f326(f136(x43261,x43262),f326(f142(f918(x43261),f918(x43261),f134(x43261),f113(x43261)),x43263)))
% 225.11/225.09 [4330]E(f326(f255(f918(x43301),f918(x43301)),f166(x43301,x43302,x43303)),f326(f136(x43301,f326(f72(a913,a913,x43301,a321),x43302)),x43303))
% 225.11/225.09 [4340]P24(x43401,x43402,f326(f326(f308(f916(x43401)),f91(x43401,x43403,a25,x43403)),f188(f925(f916(x43401),a913))))
% 225.11/225.09 [4377]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43771),f326(f326(f35(a1),x43772),x43771))),f44(a1,x43772,x43771))),x43773),f326(f326(f79(a1),x43772),x43773))
% 225.11/225.10 [4414]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f326(f35(a1),x44141),x44142)),x44142)),f44(a1,x44141,x44142))),x44143),f326(f326(f79(a1),x44141),x44143))
% 225.11/225.10 [4440]E(f84(f924(x44401,x44402),f326(f256(x44401,x44402,a913),f326(f326(f10(f925(x44402,f924(x44401,x44402)),f925(x44402,a913),x44401),f326(f10(f924(x44401,x44402),a913,x44402),x44403)),f251(x44401,x44402)))),f84(f924(x44401,x44402),x44403))
% 225.11/225.10 [4441]E(f89(f924(x44411,x44412),f326(f256(x44411,x44412,a913),f326(f326(f10(f925(x44412,f924(x44411,x44412)),f925(x44412,a913),x44411),f326(f10(f924(x44411,x44412),a913,x44412),x44413)),f251(x44411,x44412)))),f89(f924(x44411,x44412),x44413))
% 225.11/225.10 [4468]P105(f326(f326(f234(f925(x44681,a913)),f36(f925(x44681,a913),f326(f326(f102(f925(f925(x44681,a913),a913)),x44682),x44683))),f326(f326(f102(f925(x44681,a913)),f36(f925(x44681,a913),x44682)),f36(f925(x44681,a913),x44683))))
% 225.11/225.10 [4469]E(f326(f168(x44691),f326(f326(f326(f183(f918(x44691),f918(x44691)),f326(f326(f3(a917),f326(f189(f918(x44691)),x44692)),f44(a917,x44693,f326(f189(f918(x44691)),x44692)))),f167(x44691)),x44692)),f326(f326(f326(f183(f918(x44691),f918(x44691)),x44693),f167(x44691)),f326(f168(x44691),x44692)))
% 225.11/225.10 [4506]P105(f326(f326(f234(a917),f326(f189(f918(x45061)),f326(f326(f138(x45061),f326(f189(f918(x45061)),f177(x45061,x45062,x45063))),x45063))),f326(f189(f918(x45061)),x45063)))
% 225.11/225.10 [4743]~P105(f326(f61(x47431,x47432,f188(f925(x47431,a913))),x47433))
% 225.11/225.10 [4748]~P105(f326(f326(f328(f924(x47481,x47481)),f326(f326(f251(x47481,x47481),x47482),x47483)),f153(x47481,f113(f925(x47481,a917)))))
% 225.11/225.10 [3816]E(f326(f189(f918(x38161)),f326(f326(f175(x38161),x38162),x38163)),f326(f326(f238(a917),f326(f189(f918(x38161)),x38163)),x38162))
% 225.11/225.10 [3817]E(f326(f189(f918(x38171)),f326(f326(f138(x38171),x38172),x38173)),f326(f326(f3(a917),f326(f189(f918(x38171)),x38173)),x38172))
% 225.11/225.10 [3843]E(f326(f189(f918(f918(x38431))),f54(x38431,x38432,x38433)),f326(f326(f243(a917),f326(f189(f918(x38431)),x38433)),x38432))
% 225.11/225.10 [3861]E(f326(f326(f35(a917),f326(f326(f35(a917),x38611),x38612)),x38613),f326(f326(f35(a917),x38611),f326(f326(f80(a917),x38612),x38613)))
% 225.11/225.10 [3862]E(f326(f326(f3(a917),f326(f326(f3(a917),x38621),x38622)),x38623),f326(f326(f3(a917),x38621),f326(f326(f79(a917),x38622),x38623)))
% 225.11/225.10 [3863]E(f326(f326(f80(a917),f326(f326(f80(a917),x38631),x38632)),x38633),f326(f326(f80(a917),x38631),f326(f326(f80(a917),x38632),x38633)))
% 225.11/225.10 [3864]E(f326(f326(f80(a1),f326(f326(f80(a1),x38641),x38642)),x38643),f326(f326(f80(a1),x38641),f326(f326(f80(a1),x38642),x38643)))
% 225.11/225.10 [3865]E(f326(f326(f79(a917),f326(f326(f79(a917),x38651),x38652)),x38653),f326(f326(f79(a917),x38651),f326(f326(f79(a917),x38652),x38653)))
% 225.11/225.10 [3866]E(f326(f326(f79(a1),f326(f326(f79(a1),x38661),x38662)),x38663),f326(f326(f79(a1),x38661),f326(f326(f79(a1),x38662),x38663)))
% 225.11/225.10 [3867]E(f326(f326(f243(a1),f326(f326(f243(a1),x38671),x38672)),x38673),f326(f326(f243(a1),x38671),f326(f326(f80(a917),x38672),x38673)))
% 225.11/225.10 [3886]E(f162(x38861,f326(f326(f151(f925(x38861,a913)),x38862),x38863)),f174(x38861,x38862,f162(x38861,x38863)))
% 225.11/225.10 [3930]E(f326(f326(f3(a917),f326(f326(f3(a917),x39301),x39302)),x39303),f326(f326(f3(a917),f326(f326(f3(a917),x39301),x39303)),x39302))
% 225.11/225.10 [3938]E(f326(f326(f102(f925(x39381,a913)),x39382),f326(f326(f3(f925(x39381,a913)),x39383),x39382)),f188(f925(x39381,a913)))
% 225.11/225.10 [3942]E(f326(f326(f154(a917,x39421),f326(f18(x39421,a917),x39422)),f139(a917,f326(f301(a917,f2(a917)),x39423))),f169(x39421,x39423,x39422))
% 225.11/225.10 [3981]E(f36(f925(x39811,a913),f326(f326(f308(f925(x39811,a913)),x39812),x39813)),f326(f326(f101(f925(x39811,a913)),x39812),f36(f925(x39811,a913),x39813)))
% 225.11/225.10 [3982]E(f37(f925(x39821,a913),f326(f326(f308(f925(x39821,a913)),x39822),x39823)),f326(f326(f102(f925(x39821,a913)),x39822),f37(f925(x39821,a913),x39823)))
% 225.11/225.10 [3984]E(f169(x39841,f326(f189(f918(x39841)),f326(f136(x39841,f326(a323,x39842)),x39843)),x39842),f326(f136(x39841,f326(a323,x39842)),x39843))
% 225.11/225.10 [3986]E(f326(f326(f3(a917),f326(f326(f80(a917),x39861),x39862)),f326(f326(f80(a917),x39863),x39862)),f326(f326(f80(a917),f326(f326(f3(a917),x39861),x39863)),x39862))
% 225.11/225.10 [3987]E(f326(f326(f79(a917),f326(f326(f80(a917),x39871),x39872)),f326(f326(f80(a917),x39873),x39872)),f326(f326(f80(a917),f326(f326(f79(a917),x39871),x39873)),x39872))
% 225.11/225.10 [3988]E(f326(f326(f3(a1),f326(f326(f80(a1),x39881),x39882)),f326(f326(f80(a1),x39883),x39882)),f326(f326(f80(a1),f326(f326(f3(a1),x39881),x39883)),x39882))
% 225.11/225.10 [3989]E(f326(f326(f79(a1),f326(f326(f80(a1),x39891),x39892)),f326(f326(f80(a1),x39893),x39892)),f326(f326(f80(a1),f326(f326(f79(a1),x39891),x39893)),x39892))
% 225.11/225.10 [3991]E(f326(f326(f238(a917),f326(f326(f3(a917),x39911),x39912)),f326(f326(f3(a917),x39913),x39912)),f326(f326(f3(a917),f326(f326(f238(a917),x39911),x39913)),x39912))
% 225.11/225.10 [4012]E(f326(f326(f102(f925(f918(x40121),a913)),f160(x40121,x40122)),f160(x40121,x40123)),f160(x40121,f326(f326(f102(f925(x40121,a913)),x40122),x40123)))
% 225.11/225.10 [4015]E(f326(f326(f101(f925(x40151,a913)),x40152),f326(f326(f3(f925(x40151,a913)),x40153),x40152)),f326(f326(f101(f925(x40151,a913)),x40152),x40153))
% 225.11/225.10 [4016]E(f326(f326(f101(f925(x40161,a913)),x40162),f326(f326(f101(f925(x40161,a913)),x40162),x40163)),f326(f326(f101(f925(x40161,a913)),x40162),x40163))
% 225.11/225.10 [4017]E(f326(f326(f102(f925(x40171,a913)),x40172),f326(f326(f102(f925(x40171,a913)),x40172),x40173)),f326(f326(f102(f925(x40171,a913)),x40172),x40173))
% 225.11/225.10 [4029]E(f326(f326(f288(x40291,x40292,x40292),x40293),f306(x40292,f188(f925(f924(x40292,x40292),a913)))),x40293)
% 225.11/225.10 [4032]E(f326(f326(f101(f925(x40321,a913)),f326(f326(f308(x40321),x40322),f188(f925(x40321,a913)))),x40323),f326(f326(f308(x40321),x40322),x40323))
% 225.11/225.10 [4051]E(f326(f326(f3(a917),f326(f326(f3(a917),f326(a112,x40511)),x40512)),f326(a112,x40513)),f326(f326(f3(a917),f326(f326(f3(a917),x40511),x40512)),x40513))
% 225.11/225.10 [4079]E(f326(f326(f102(f925(f925(x40791,a913),a913)),f326(f307(x40791),x40792)),f326(f307(x40791),x40793)),f326(f307(x40791),f326(f326(f102(f925(x40791,a913)),x40792),x40793)))
% 225.11/225.10 [4082]E(f326(f326(f101(f925(x40821,a913)),f326(f78(f925(x40821,a913)),x40822)),x40823),f326(f78(f925(x40821,a913)),f326(f326(f3(f925(x40821,a913)),x40822),x40823)))
% 225.11/225.10 [4092]E(f326(f326(f308(x40921),x40922),f326(f326(f3(f925(x40921,a913)),x40923),f326(f326(f308(x40921),x40922),f188(f925(x40921,a913))))),f326(f326(f308(x40921),x40922),x40923))
% 225.11/225.10 [4104]P105(f326(f326(f234(f925(x41041,a913)),x41042),f326(f326(f101(f925(x41041,a913)),x41043),x41042)))
% 225.11/225.10 [4105]P105(f326(f326(f234(f925(x41051,a913)),x41052),f326(f326(f101(f925(x41051,a913)),x41052),x41053)))
% 225.11/225.10 [4109]E(f326(f326(f102(f925(x41091,a913)),f326(f78(f925(x41091,a913)),x41092)),f326(f78(f925(x41091,a913)),x41093)),f326(f78(f925(x41091,a913)),f326(f326(f101(f925(x41091,a913)),x41092),x41093)))
% 225.11/225.10 [4110]E(f326(f326(f101(f925(x41101,a913)),f326(f78(f925(x41101,a913)),x41102)),f326(f78(f925(x41101,a913)),x41103)),f326(f78(f925(x41101,a913)),f326(f326(f102(f925(x41101,a913)),x41102),x41103)))
% 225.11/225.10 [4124]P105(f326(f326(f234(f925(x41241,a913)),f326(f172(x41241),x41242)),f326(f172(x41241),f326(f326(f151(x41241),x41243),x41242))))
% 225.11/225.10 [4136]E(f326(f326(f101(f925(x41361,a913)),f326(f326(f3(f925(x41361,a913)),x41362),x41363)),f326(f326(f102(f925(x41361,a913)),x41362),x41363)),x41362)
% 225.11/225.10 [4186]E(f326(f326(f8(x41861,a1),f326(f326(f10(a917,a1,x41861),f100(a1)),x41862)),x41863),f326(f100(a1),f326(f326(f8(x41861,a917),x41862),x41863)))
% 225.11/225.10 [4187]E(f326(f326(f11(x41871,a1),f326(f326(f10(a917,a1,x41871),f100(a1)),x41872)),x41873),f326(f100(a1),f326(f326(f11(x41871,a917),x41872),x41873)))
% 225.11/225.10 [4234]E(f326(f326(f134(x42341),f177(x42341,x42342,x42343)),f326(f326(f138(x42341),f326(f189(f918(x42341)),f177(x42341,x42342,x42343))),x42343)),x42343)
% 225.11/225.10 [4238]E(f326(f78(f925(f924(x42381,x42382),a913)),f326(f326(f253(x42381,x42382),x42383),f326(f18(f925(x42382,a913),x42381),f241(f925(x42382,a913))))),f326(f326(f253(x42381,x42382),f326(f78(f925(x42381,a913)),x42383)),f326(f18(f925(x42382,a913),x42381),f241(f925(x42382,a913)))))
% 225.11/225.10 [4239]E(f326(f78(f925(f924(x42391,x42392),a913)),f326(f326(f253(x42391,x42392),f241(f925(x42391,a913))),f326(f18(f925(x42392,a913),x42391),x42393))),f326(f326(f253(x42391,x42392),f241(f925(x42391,a913))),f326(f18(f925(x42392,a913),x42391),f326(f78(f925(x42392,a913)),x42393))))
% 225.11/225.10 [4290]E(f326(f326(f38(f925(x42901,a913),f925(x42901,a913)),x42902),f326(f326(f9(f925(x42901,a913),f925(x42901,a913),f925(x42901,a913)),f102(f925(x42901,a913))),x42903)),f326(f326(f102(f925(x42901,a913)),f36(f925(x42901,a913),x42902)),x42903))
% 225.11/225.10 [4296]E(f326(f142(f918(x42961),f918(x42961),f134(x42961),f113(x42961)),f326(f326(f151(f918(x42961)),x42962),x42963)),f326(f326(f134(x42961),x42962),f326(f142(f918(x42961),f918(x42961),f134(x42961),f113(x42961)),x42963)))
% 225.11/225.10 [4317]E(f326(f326(f308(f925(x43171,a913)),f326(f284(x43171,x43171,x43172),f326(f326(f308(x43171),x43173),f188(f925(x43171,a913))))),f188(f925(f925(x43171,a913),a913))),f326(f326(f59(x43171),f326(f326(f308(x43171),x43173),f188(f925(x43171,a913)))),x43172))
% 225.11/225.10 [4327]E(f326(f326(f79(a917),f326(f326(f80(a917),x43271),f326(f326(f35(a917),x43272),x43273))),f326(f326(f35(a917),f326(f326(f80(a917),x43271),f44(a917,x43272,x43273))),x43273)),f326(f326(f35(a917),f326(f326(f80(a917),x43271),x43272)),x43273))
% 225.11/225.10 [4328]E(f326(f326(f79(a1),f326(f326(f80(a1),x43281),f326(f326(f35(a1),x43282),x43283))),f326(f326(f35(a1),f326(f326(f80(a1),x43281),f44(a1,x43282,x43283))),x43283)),f326(f326(f35(a1),f326(f326(f80(a1),x43281),x43282)),x43283))
% 225.11/225.10 [4362]E(f326(f326(f3(f925(x43621,a913)),f326(f172(x43621),x43622)),f326(f326(f308(x43621),x43623),f188(f925(x43621,a913)))),f326(f172(x43621),f326(f136(x43621,f326(f326(f10(a913,a913,x43621),a321),f326(a323,x43623))),x43622)))
% 225.11/225.10 [4412]E(f326(f326(f134(x44121),f326(f142(f918(x44121),f918(x44121),f134(x44121),f113(x44121)),x44122)),f326(f142(f918(x44121),f918(x44121),f134(x44121),f113(x44121)),x44123)),f326(f142(f918(x44121),f918(x44121),f134(x44121),f113(x44121)),f326(f326(f134(f918(x44121)),x44122),x44123)))
% 225.11/225.10 [4415]E(f326(f326(f251(f918(x44151),f918(x44151)),f326(f136(x44151,x44152),x44153)),f326(f136(x44151,f326(f72(a913,a913,x44151,a321),x44152)),x44153)),f166(x44151,x44152,x44153))
% 225.11/225.10 [4418]E(f326(f326(f79(a917),f326(f326(f79(a917),f326(f326(f35(a917),x44181),x44182)),f326(f326(f35(a917),x44183),x44182))),f326(f326(f35(a917),f326(f326(f79(a917),f44(a917,x44181,x44182)),f44(a917,x44183,x44182))),x44182)),f326(f326(f35(a917),f326(f326(f79(a917),x44181),x44183)),x44182))
% 225.11/225.10 [4419]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f35(a1),x44191),x44192)),f326(f326(f35(a1),x44193),x44192))),f326(f326(f35(a1),f326(f326(f79(a1),f44(a1,x44191,x44192)),f44(a1,x44193,x44192))),x44192)),f326(f326(f35(a1),f326(f326(f79(a1),x44191),x44193)),x44192))
% 225.11/225.10 [4472]E(f326(f326(f102(f925(f918(x44721),a913)),f326(f326(f9(f918(x44721),f925(f918(x44721),a913),a913),f328(f918(x44721))),f161(x44721,x44722))),f326(f326(f9(f918(x44721),f925(f918(x44721),a913),a913),f328(f918(x44721))),f161(x44721,x44723))),f160(x44721,f326(f326(f102(f925(x44721,a913)),f326(f326(f9(x44721,f925(x44721,a913),a913),f328(x44721)),x44722)),f326(f326(f9(x44721,f925(x44721,a913),a913),f328(x44721)),x44723))))
% 225.11/225.10 [4484]E(f326(f261(x44841),f326(f326(f20(x44841,a913,a913),f326(f326(f10(a913,f925(a913,a913),x44841),a325),f326(f326(f9(x44841,x44841,a913),a323),x44842))),f326(f326(f9(x44841,f925(x44841,a913),a913),f328(x44841)),x44843))),f326(f326(f308(x44841),x44842),x44843))
% 225.11/225.10 [4504]E(f326(f326(f85(f918(f918(x45041)),f918(f918(x45041))),f53(x45041,x45042)),f326(f326(f20(f918(f918(x45041)),f918(f918(x45041)),f918(f918(x45041))),f326(f326(f10(f918(f918(x45041)),f925(f918(f918(x45041)),f918(f918(x45041))),f918(f918(x45041))),f134(f918(x45041))),f326(f154(f918(x45041),f918(x45041)),f326(f151(x45041),x45043)))),f7(f918(f918(x45041))))),f53(x45041,f326(f326(f151(x45041),x45043),x45042)))
% 225.11/225.10 [4507]E(f326(f261(x45071),f326(f326(f20(x45071,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45071),a325),f326(f326(f9(x45071,f925(x45071,a913),a913),f328(x45071)),x45072))),f326(f326(f9(x45071,f925(x45071,a913),a913),f328(x45071)),x45073))),f326(f326(f101(f925(x45071,a913)),x45072),x45073))
% 225.11/225.10 [4508]E(f326(f261(x45081),f326(f326(f20(x45081,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45081),a324),f326(f326(f9(x45081,f925(x45081,a913),a913),f328(x45081)),x45082))),f326(f326(f9(x45081,f925(x45081,a913),a913),f328(x45081)),x45083))),f326(f326(f102(f925(x45081,a913)),x45082),x45083))
% 225.11/225.10 [4597]E(f326(f326(f38(x45971,f925(f925(x45971,a913),a913)),x45972),f326(f326(f9(x45971,f925(f925(x45971,a913),a913),f925(f925(x45971,a913),a913)),f326(f326(f10(f925(x45971,a913),f925(f925(f925(x45971,a913),a913),f925(f925(x45971,a913),a913)),x45971),f308(f925(x45971,a913))),f326(f326(f10(f925(x45971,a913),f925(x45971,a913),x45971),f284(x45971,x45971,x45973)),f326(f326(f9(x45971,f925(x45971,a913),f925(x45971,a913)),f308(x45971)),f188(f925(x45971,a913)))))),f188(f925(f925(x45971,a913),a913)))),f326(f326(f59(x45971),x45972),x45973))
% 225.11/225.10 [4599]E(f326(f326(f201(x45991),f326(f326(f80(a1),f326(f326(f72(f924(a1,a1),a1,x45991,f250(a1,a1)),f212(x45991)),x45992)),f326(f326(f72(f924(a1,a1),a1,x45991,f250(a1,a1)),f212(x45991)),x45993))),f326(f326(f80(a1),f326(f326(f72(f924(a1,a1),a1,x45991,f255(a1,a1)),f212(x45991)),x45992)),f326(f326(f72(f924(a1,a1),a1,x45991,f255(a1,a1)),f212(x45991)),x45993))),f228(x45991,x45992,x45993))
% 225.11/225.10 [4602]E(f326(f261(f918(x46021)),f326(f326(f20(f918(x46021),a913,a913),f326(f326(f10(a913,f925(a913,a913),f918(x46021)),a324),f326(f326(f9(f918(x46021),a917,a913),f326(f326(f10(a917,f925(a917,a913),f918(x46021)),a323),f189(f918(x46021)))),x46022))),f326(f326(f9(f918(x46021),f925(x46021,a913),a913),f326(f326(f10(f925(x46021,a913),f925(f925(x46021,a913),a913),f918(x46021)),f234(f925(x46021,a913))),f172(x46021))),f326(f172(x46021),x46023)))),f326(f172(f918(x46021)),f54(x46021,x46022,x46023)))
% 225.11/225.10 [4005]E(f44(a917,f326(f326(f79(a917),f326(f326(f80(a917),x40051),x40052)),x40053),x40052),f44(a917,x40053,x40052))
% 225.11/225.10 [4050]E(f139(a917,f326(f301(a917,f326(f326(f79(a917),x40501),x40502)),x40503)),f326(f326(f138(a917),x40502),f139(a917,f326(f301(a917,x40501),x40503))))
% 225.11/225.10 [4091]E(f326(f326(f79(a1),f326(f100(a1),x40911)),f326(f326(f79(a1),f326(f100(a1),x40912)),x40913)),f326(f326(f79(a1),f326(f100(a1),f326(f326(f79(a917),x40911),x40912))),x40913))
% 225.11/225.10 [4100]E(f326(f326(f3(f925(x41001,a913)),f326(f326(f3(f925(x41001,a913)),x41002),x41003)),x41003),f326(f326(f3(f925(x41001,a913)),x41002),x41003))
% 225.11/225.10 [4101]E(f326(f326(f101(f925(x41011,a913)),f326(f326(f3(f925(x41011,a913)),x41012),x41013)),x41013),f326(f326(f101(f925(x41011,a913)),x41012),x41013))
% 225.11/225.10 [4125]E(f326(f326(f288(x41251,x41251,x41252),f306(x41251,f188(f925(f924(x41251,x41251),a913)))),x41253),x41253)
% 225.11/225.10 [4133]E(f326(f326(f101(f925(x41331,a913)),f326(f280(x41331),x41332)),f326(f280(x41331),x41333)),f326(f280(x41331),f326(f326(f101(f925(f924(x41331,x41331),a913)),x41332),x41333)))
% 225.11/225.10 [4143]E(f265(x41431,f326(f326(f151(f924(a99,x41431)),f326(f326(f251(a99,x41431),f2(a99)),x41432)),x41433)),f265(x41431,x41433))
% 225.11/225.10 [4145]E(f326(f326(f101(f925(x41451,a913)),f36(f925(x41451,a913),x41452)),f36(f925(x41451,a913),x41453)),f36(f925(x41451,a913),f326(f326(f101(f925(f925(x41451,a913),a913)),x41452),x41453)))
% 225.11/225.10 [4146]E(f326(f326(f102(f925(x41461,a913)),f37(f925(x41461,a913),x41462)),f37(f925(x41461,a913),x41463)),f37(f925(x41461,a913),f326(f326(f101(f925(f925(x41461,a913),a913)),x41462),x41463)))
% 225.11/225.10 [4183]E(f326(f326(f288(x41831,x41831,x41831),f326(f326(f183(f924(x41831,x41831),a913),x41832),x41833)),x41833),f326(f326(f183(f924(x41831,x41831),a913),f326(a112,x41832)),x41833))
% 225.11/225.10 [4226]P105(f326(f326(f234(f925(x42261,a913)),f326(f326(f3(f925(x42261,a913)),x42262),x42263)),x42262))
% 225.11/225.10 [4227]P105(f326(f326(f234(f925(x42271,a913)),f326(f326(f102(f925(x42271,a913)),x42272),x42273)),x42273))
% 225.11/225.10 [4228]P105(f326(f326(f234(f925(x42281,a913)),f326(f326(f102(f925(x42281,a913)),x42282),x42283)),x42282))
% 225.11/225.10 [4252]E(f306(x42521,f326(f326(f101(f925(f924(x42521,x42521),a913)),f306(x42521,x42522)),f306(x42521,x42523))),f306(x42521,f326(f326(f101(f925(f924(x42521,x42521),a913)),x42522),x42523)))
% 225.11/225.10 [4256]E(f36(f925(x42561,a913),f326(f326(f308(f925(x42561,a913)),x42562),f326(f326(f308(f925(x42561,a913)),x42563),f188(f925(f925(x42561,a913),a913))))),f326(f326(f101(f925(x42561,a913)),x42562),x42563))
% 225.11/225.10 [4257]E(f37(f925(x42571,a913),f326(f326(f308(f925(x42571,a913)),x42572),f326(f326(f308(f925(x42571,a913)),x42573),f188(f925(f925(x42571,a913),a913))))),f326(f326(f102(f925(x42571,a913)),x42572),x42573))
% 225.11/225.10 [4262]E(f326(f326(f288(x42621,x42621,x42621),f326(f326(f183(f924(x42621,x42621),a913),x42622),x42623)),x42623),f326(f326(f288(x42621,x42621,x42621),x42623),f326(f326(f183(f924(x42621,x42621),a913),x42622),x42623)))
% 225.11/225.10 [4331]E(f326(f326(f101(f925(x43311,a913)),f326(f261(x43311),f326(f326(f9(x43311,x43311,a913),a323),x43312))),x43313),f326(f326(f308(x43311),x43312),x43313))
% 225.11/225.10 [4333]E(f326(a105,f326(f326(f8(x43331,a1),f326(f326(f10(a917,a1,x43331),f100(a1)),x43332)),x43333)),f326(f326(f8(x43331,a917),x43332),x43333))
% 225.11/225.10 [4334]E(f326(a105,f326(f326(f11(x43341,a1),f326(f326(f10(a917,a1,x43341),f100(a1)),x43342)),x43343)),f326(f326(f11(x43341,a917),x43342),x43343))
% 225.11/225.10 [4409]E(f326(f156(f918(x44091),x44091,f326(f171(x44091),x44092),f326(f18(f925(f918(x44091),f918(x44091)),x44091),f326(f326(f9(f918(x44091),f918(x44091),f918(x44091)),f134(x44091)),x44092))),x44093),f326(f171(x44091),f326(f326(f134(x44091),x44093),x44092)))
% 225.11/225.10 [4437]P105(f326(f326(f234(f925(f925(x44371,a913),a913)),f326(f326(f101(f925(f925(x44371,a913),a913)),f326(f307(x44371),x44372)),f326(f307(x44371),x44373))),f326(f307(x44371),f326(f326(f101(f925(x44371,a913)),x44372),x44373))))
% 225.11/225.10 [4526]E(f326(f261(x45261),f326(f326(f20(x45261,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45261),a324),f326(f326(f9(x45261,f925(x45261,a913),a913),f328(x45261)),x45262))),f326(f326(f10(a913,a913,x45261),a321),f326(f326(f9(x45261,f925(x45261,a913),a913),f328(x45261)),x45263)))),f326(f326(f3(f925(x45261,a913)),x45262),x45263))
% 225.11/225.10 [4550]E(f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,a917,a913),f235(a917)),f326(f189(f918(x45501)),x45502)))),f326(f326(f10(x45501,a913,a917),x45503),f326(f164(x45501),x45502))))),f326(f189(f918(x45501)),f326(f136(x45501,x45503),x45502)))
% 225.11/225.10 [4552]E(f326(f189(f918(x45521)),f176(x45521,x45522,x45523)),f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,a917,a913),f235(a917)),f326(f189(f918(x45521)),x45522)))),f326(f326(f9(a917,f925(a917,a913),a913),f328(a917)),x45523)))))
% 225.11/225.10 [4649]E(f326(f326(f102(f925(f924(f918(x46491),f918(x46491)),a913)),f326(f309(f924(f924(x46491,f918(x46491)),f924(x46491,f918(x46491))),f924(f918(x46491),f918(x46491)),f257(f924(x46491,f918(x46491)),f918(x46491),f924(x46491,f918(x46491)),f918(x46491),f326(f256(x46491,f918(x46491),f918(x46491)),f151(x46491)),f326(f256(x46491,f918(x46491),f918(x46491)),f151(x46491)))),f318(x46491,f918(x46491),x46492,f326(f143(x46491,x46492),x46493)))),f326(f261(f924(f918(x46491),f918(x46491))),f326(f256(f918(x46491),f918(x46491),a913),f326(f326(f9(f918(x46491),f925(f918(x46491),a913),f925(f918(x46491),a913)),f326(f326(f10(f925(a913,a913),f925(f925(f918(x46491),a913),f925(f918(x46491),a913)),f918(x46491)),f10(a913,a913,f918(x46491))),f326(f326(f10(a913,f925(a913,a913),f918(x46491)),a324),f326(f326(f9(f918(x46491),a917,a913),f326(f326(f10(a917,f925(a917,a913),f918(x46491)),a323),f189(f918(x46491)))),f326(a112,x46493))))),f326(f326(f9(f918(x46491),a917,a913),f326(f326(f10(a917,f925(a917,a913),f918(x46491)),a323),f189(f918(x46491)))),f326(a112,x46493)))))),f326(f143(x46491,x46492),f326(a112,x46493)))
% 225.11/225.10 [4147]E(f44(a917,f326(a112,f326(f326(f79(a917),f326(f326(f80(a917),x41471),x41472)),x41473)),x41472),f44(a917,f326(a112,x41473),x41472))
% 225.11/225.10 [4395]E(f326(f261(x43951),f326(f326(f20(x43951,a913,a913),f326(f326(f10(a913,f925(a913,a913),x43951),a324),x43952)),x43953)),f326(f326(f102(f925(x43951,a913)),f326(f261(x43951),x43952)),f326(f261(x43951),x43953)))
% 225.11/225.10 [4396]E(f326(f261(x43961),f326(f326(f20(x43961,a913,a913),f326(f326(f10(a913,f925(a913,a913),x43961),a325),x43962)),x43963)),f326(f326(f101(f925(x43961,a913)),f326(f261(x43961),x43962)),f326(f261(x43961),x43963)))
% 225.11/225.10 [4398]E(f326(f326(f134(x43981),f326(f326(f138(x43981),f44(a917,x43982,f326(f189(f918(x43981)),x43983))),x43983)),f326(f326(f175(x43981),f44(a917,x43982,f326(f189(f918(x43981)),x43983))),x43983)),f326(f326(f326(f183(f918(x43981),f918(x43981)),x43982),f167(x43981)),x43983))
% 225.11/225.10 [4404]E(f326(f261(x44041),f326(f326(f20(x44041,a913,a913),f326(f326(f10(a913,f925(a913,a913),x44041),a329),x44042)),x44043)),f326(f326(f101(f925(x44041,a913)),f326(f78(f925(x44041,a913)),f326(f261(x44041),x44042))),f326(f261(x44041),x44043)))
% 225.11/225.10 [4420]E(f326(f326(f79(a917),f326(f189(f918(x44201)),f326(f136(x44201,x44202),x44203))),f326(f189(f918(x44201)),f326(f136(x44201,f326(f326(f10(a913,a913,x44201),a321),x44202)),x44203))),f326(f189(f918(x44201)),x44203))
% 225.11/225.10 [4443]P105(f326(f326(f234(f925(x44431,a913)),f326(f326(f101(f925(x44431,a913)),f37(f925(x44431,a913),x44432)),f37(f925(x44431,a913),x44433))),f37(f925(x44431,a913),f326(f326(f102(f925(f925(x44431,a913),a913)),x44432),x44433))))
% 225.11/225.10 [4457]E(f326(f172(x44571),f326(f136(x44571,f326(f326(f10(a913,a913,x44571),a321),f326(f326(f9(x44571,x44571,a913),a323),x44572))),x44573)),f326(f326(f3(f925(x44571,a913)),f326(f172(x44571),x44573)),f326(f326(f308(x44571),x44572),f188(f925(x44571,a913)))))
% 225.11/225.10 [4466]P105(f326(f326(f234(f925(f924(x44661,x44661),a913)),f326(f326(f101(f925(f924(x44661,x44661),a913)),f306(x44661,x44662)),f306(x44661,x44663))),f306(x44661,f326(f326(f101(f925(f924(x44661,x44661),a913)),x44662),x44663))))
% 225.11/225.10 [4489]E(f326(f326(f80(a917),f326(a112,f326(a112,f2(a917)))),f326(f326(f8(a917,a917),f326(f326(f10(a917,a917,a917),f326(f79(a917),x44891)),f326(f326(f9(a917,a917,a917),f80(a917)),x44892))),f326(f281(a917),x44893))),f326(f326(f80(a917),x44893),f326(f326(f79(a917),x44891),f326(f326(f79(a917),x44891),f326(f326(f80(a917),f326(f326(f3(a917),x44893),f77(a917))),x44892)))))
% 225.11/225.10 [4499]E(f326(f261(x44991),f326(f326(f20(x44991,a913,a913),f326(f326(f10(a913,f925(a913,a913),x44991),a324),f326(f326(f9(x44991,f925(x44991,a913),a913),f328(x44991)),f326(f172(x44991),x44992)))),x44993)),f326(f172(x44991),f326(f136(x44991,x44993),x44992)))
% 225.11/225.10 [4648]E(f326(f261(x46481),f326(f326(f10(f925(a917,a913),a913,x46481),f86(a917)),f326(f326(f9(x46481,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),x46481),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),x46481),f326(f10(a913,f925(a913,a913),a917),a324)),f326(f326(f9(x46481,f925(a917,x46481),f925(a917,a913)),f326(f326(f10(f925(x46481,a913),f925(f925(a917,x46481),f925(a917,a913)),x46481),f10(x46481,a913,a917)),a323)),f326(f164(x46481),x46482))))),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,a917,a913),f235(a917)),f326(f189(f918(x46481)),x46482)))),f326(f326(f9(a917,f925(a917,a913),a913),f328(a917)),x46483))))),f326(f172(x46481),f176(x46481,x46482,x46483)))
% 225.11/225.10 [4539]E(f326(f261(x45391),f326(f326(f20(x45391,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45391),a329),f326(f326(f10(a913,a913,x45391),a321),f326(f326(f9(x45391,x45391,a913),a323),x45392)))),x45393)),f326(f326(f308(x45391),x45392),f326(f261(x45391),x45393)))
% 225.11/225.10 [4571]E(f326(f326(f154(f924(x45711,a917),x45711),f250(x45711,a917)),f326(f136(f924(x45711,a917),f326(f326(f9(f924(x45711,a917),f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),f924(x45711,a917)),f328(a917)),f255(x45711,a917))),x45712)),f326(f326(f181(x45711,a917),x45713),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(x45711)),x45713)))))),f176(x45711,x45713,x45712))
% 225.11/225.10 [4598]E(f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f8(a917,a1),f326(f326(f10(a1,a1,a917),f326(f79(a1),x45981)),f326(f326(f9(a917,a1,a1),f326(f326(f10(a1,f925(a1,a1),a917),f80(a1)),f100(a1))),x45982))),f326(f281(a917),x45983))),f326(f326(f80(a1),f326(f100(a1),x45983)),f326(f326(f79(a1),x45981),f326(f326(f79(a1),x45981),f326(f326(f80(a1),f326(f100(a1),f326(f326(f3(a917),x45983),f77(a917)))),x45982)))))
% 225.11/225.10 [4640]E(f326(f261(f924(x46401,x46402)),f326(f256(x46401,x46402,a913),f326(f326(f9(x46401,f925(f924(x46402,x46401),a913),f925(x46402,a913)),f326(f326(f10(f925(x46402,f925(f925(f924(x46402,x46401),a913),a913)),f925(f925(f924(x46402,x46401),a913),f925(x46402,a913)),x46401),f9(x46402,f925(f924(x46402,x46401),a913),a913)),f326(f326(f10(f925(x46402,f924(x46402,x46401)),f925(x46402,f925(f925(f924(x46402,x46401),a913),a913)),x46401),f326(f10(f924(x46402,x46401),f925(f925(f924(x46402,x46401),a913),a913),x46402),f328(f924(x46402,x46401)))),f326(f9(x46402,x46401,f924(x46402,x46401)),f251(x46402,x46401))))),x46403))),f326(f285(x46402,x46401),x46403))
% 225.11/225.10 [4661]E(f326(f261(f918(x46611)),f326(f326(f10(f925(x46611,a913),a913,f918(x46611)),f86(x46611)),f326(f326(f10(f925(x46611,f925(f918(x46611),a913)),f925(x46611,a913),f918(x46611)),f326(f10(f925(f918(x46611),a913),a913,x46611),f86(f918(x46611)))),f326(f326(f9(f918(x46611),f925(x46611,f925(f918(x46611),a913)),f925(x46611,f925(f918(x46611),a913))),f326(f326(f10(f925(x46611,f925(f925(f918(x46611),a913),f925(f918(x46611),a913))),f925(f925(x46611,f925(f918(x46611),a913)),f925(x46611,f925(f918(x46611),a913))),f918(x46611)),f20(x46611,f925(f918(x46611),a913),f925(f918(x46611),a913))),f326(f326(f10(f925(x46611,f925(f918(x46611),f925(a913,a913))),f925(x46611,f925(f925(f918(x46611),a913),f925(f918(x46611),a913))),f918(x46611)),f326(f10(f925(f918(x46611),f925(a913,a913)),f925(f925(f918(x46611),a913),f925(f918(x46611),a913)),x46611),f20(f918(x46611),a913,a913))),f326(f326(f10(f925(x46611,f925(f918(x46611),a913)),f925(x46611,f925(f918(x46611),f925(a913,a913))),f918(x46611)),f326(f10(f925(f918(x46611),a913),f925(f918(x46611),f925(a913,a913)),x46611),f326(f10(a913,f925(a913,a913),f918(x46611)),a324))),f326(f326(f9(f918(x46611),f925(x46611,f925(f918(x46611),f918(x46611))),f925(x46611,f925(f918(x46611),a913))),f326(f326(f10(f925(f925(f918(x46611),f918(x46611)),f925(f918(x46611),a913)),f925(f925(x46611,f925(f918(x46611),f918(x46611))),f925(x46611,f925(f918(x46611),a913))),f918(x46611)),f10(f925(f918(x46611),f918(x46611)),f925(f918(x46611),a913),x46611)),f326(f326(f10(f925(f918(x46611),a913),f925(f925(f918(x46611),f918(x46611)),f925(f918(x46611),a913)),f918(x46611)),f10(f918(x46611),a913,f918(x46611))),a323))),f151(x46611)))))),f326(f326(f9(x46611,f925(f918(x46611),a913),f925(f918(x46611),a913)),f326(f326(f10(f925(a913,a913),f925(f925(f918(x46611),a913),f925(f918(x46611),a913)),x46611),f10(a913,a913,f918(x46611))),f326(f326(f10(a913,f925(a913,a913),x46611),a324),f326(f326(f9(x46611,f925(x46611,a913),a913),f328(x46611)),x46612)))),f326(f326(f9(f918(x46611),f925(f918(x46611),a913),a913),f328(f918(x46611))),x46613)))))),f174(x46611,x46612,x46613))
% 225.11/225.10 [4658]E(f326(f326(f85(a1,f924(a1,a1)),f326(f326(f3(a1),x46581),x46582)),f326(f326(f9(a1,f924(a1,a1),f924(a1,a1)),f326(f326(f20(a1,f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),f326(f326(f10(a913,f925(f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),a1),f96(f924(a1,a1))),f326(f234(a1),f2(a1)))),f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46583)),f77(a1))))),f326(f326(f251(a1,a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46583)),x46581))),f326(f42(x46582),f326(f326(f251(a1,a1),x46583),x46581)))
% 225.11/225.10 [4681]~E(f29(x46811,x46812),f30(x46813,x46814))
% 225.11/225.10 [3702]E(f116(x37021,f326(x37022,x37023),f326(x37024,x37023)),f326(f203(x37021,x37022,x37024),x37023))
% 225.11/225.10 [3755]E(f326(f326(f244(x37551,x37552,x37553),x37554),f2(a917)),x37552)
% 225.11/225.10 [3794]E(f185(x37941,x37942,x37943,f326(a112,x37944)),f326(x37943,x37944))
% 225.11/225.10 [3835]E(f170(x38351,x38352,f170(x38351,x38353,x38354)),f170(x38351,x38353,f170(x38351,x38352,x38354)))
% 225.11/225.10 [3836]E(f126(x38361,x38362,f116(x38361,x38363,x38364)),f116(x38361,f126(x38361,x38362,x38363),x38364))
% 225.11/225.10 [3971]E(f326(f156(x39711,x39712,x39713,x39714),f113(x39712)),x39713)
% 225.11/225.10 [3972]E(f326(f142(x39721,x39722,x39723,x39724),f113(x39722)),x39724)
% 225.11/225.10 [3979]E(f326(f189(f916(x39791)),f91(x39791,x39792,x39793,x39794)),f2(a917))
% 225.11/225.10 [4011]E(f326(f189(f922(x40111,x40112)),f220(x40111,x40112,x40113,x40114)),f2(a917))
% 225.11/225.10 [4034]E(f326(f256(x40341,x40342,x40343),f254(x40341,x40342,x40343,x40344)),x40344)
% 225.11/225.10 [4078]E(f326(f326(f134(x40781),f169(x40781,x40782,x40783)),f169(x40781,x40784,x40783)),f326(f326(f134(x40781),f169(x40781,x40784,x40783)),f169(x40781,x40782,x40783)))
% 225.11/225.10 [4166]E(f326(f326(f258(x41661,x41662,x41663,f924(x41662,x41663)),x41664),f251(x41662,x41663)),x41664)
% 225.11/225.10 [4176]E(f127(x41761,x41762,x41763,x41764,f119(x41762)),x41763)
% 225.11/225.10 [4182]E(f74(x41821,x41822,x41823,x41824,f326(x41823,x41824)),x41823)
% 225.11/225.10 [4450]P42(x44501,x44502,x44503,x44504,f188(f925(x44501,a913)),x44504)
% 225.11/225.10 [3503]E(f326(f326(f18(x35031,x35032),x35033),x35034),x35033)
% 225.11/225.10 [3784]E(f170(x37841,x37842,f326(f136(x37841,x37843),x37844)),f326(f136(x37841,x37843),f170(x37841,x37842,x37844)))
% 225.11/225.10 [3818]E(f326(f326(f63(x38181,x38182,x38183),x38184),f188(f925(x38181,a913))),x38184)
% 225.11/225.10 [3842]E(f326(f326(f164(x38421),f326(f326(f151(x38421),x38422),x38423)),f326(a112,x38424)),f326(f326(f164(x38421),x38423),x38424))
% 225.11/225.10 [3910]E(f326(f326(x39101,x39102),f326(f184(x39103,x39104,x39101),x39102)),f326(f184(x39103,x39104,x39101),f326(a112,x39102)))
% 225.11/225.10 [3952]E(f254(x39521,x39522,x39523,f326(f256(x39521,x39522,x39523),x39524)),x39524)
% 225.11/225.10 [4009]E(f326(f326(f159(x40091,f326(f326(f151(x40091),x40092),x40093)),f2(a917)),x40094),f326(f326(f151(x40091),x40094),x40093))
% 225.11/225.10 [4019]E(f326(f326(f38(f925(x40191,a913),f925(x40192,a913)),x40193),f309(x40191,x40192,x40194)),f326(f309(x40191,x40192,x40194),f36(f925(x40191,a913),x40193)))
% 225.11/225.10 [4020]E(f326(f326(f38(f925(x40201,a913),f925(x40202,a913)),x40203),f310(x40202,x40201,x40204)),f326(f310(x40202,x40201,x40204),f36(f925(x40201,a913),x40203)))
% 225.11/225.10 [4045]E(f120(x40451,f130(x40452,f919(x40451),x40453,x40454)),f326(f118(x40452,x40451,x40454),x40453))
% 225.11/225.10 [4121]E(f326(f125(x41211,x41212),f126(x41211,x41213,x41214)),f326(f326(f79(a917),f326(f326(f79(a917),f326(x41212,x41213)),f326(f125(x41211,x41212),x41214))),f326(a112,f2(a917))))
% 225.11/225.10 [4142]E(f326(f142(x41421,x41422,f326(f9(x41422,x41421,x41421),x41423),x41424),f326(f168(x41422),f113(x41422))),x41424)
% 225.11/225.10 [4246]E(f223(x42461,f924(x42462,f919(x42462)),x42463,f326(f256(x42462,f919(x42462),x42461),x42464),f326(f135(x42462),f119(x42462))),x42463)
% 225.11/225.10 [4380]E(f326(f256(x43801,x43802,x43803),f326(f326(f10(f925(x43802,f924(x43801,x43802)),f925(x43802,x43803),x43801),f326(f10(f924(x43801,x43802),x43803,x43802),x43804)),f251(x43801,x43802))),x43804)
% 225.11/225.10 [3693]E(f326(f255(x36931,x36932),f326(f326(f251(x36931,x36932),x36933),x36934)),x36934)
% 225.11/225.10 [3694]E(f326(f250(x36941,x36942),f326(f326(f251(x36941,x36942),x36943),x36944)),x36943)
% 225.11/225.10 [3727]E(f326(f189(f918(x37271)),f326(f326(f159(x37271,x37272),x37273),x37274)),f326(f189(f918(x37271)),x37272))
% 225.11/225.10 [3728]E(f326(f189(f918(x37281)),f326(f326(f154(x37282,x37281),x37283),x37284)),f326(f189(f918(x37282)),x37284))
% 225.11/225.10 [3749]E(f326(f326(f138(x37491),f326(a112,x37492)),f326(f326(f151(x37491),x37493),x37494)),f326(f326(f138(x37491),x37492),x37494))
% 225.11/225.10 [3813]E(f326(f326(f175(x38131),x38132),f169(x38131,x38133,x38134)),f169(x38131,f326(f326(f238(a917),x38132),x38133),x38134))
% 225.11/225.10 [3814]E(f326(f326(f138(x38141),x38142),f169(x38141,x38143,x38144)),f169(x38141,f326(f326(f3(a917),x38143),x38142),x38144))
% 225.11/225.10 [3820]E(f326(f326(f308(x38201),x38202),f326(f326(f308(x38201),x38203),x38204)),f326(f326(f308(x38201),x38203),f326(f326(f308(x38201),x38202),x38204)))
% 225.11/225.10 [3824]E(f326(f326(f154(x38241,x38242),x38243),f114(x38241,x38244)),f114(x38242,f326(f326(f154(x38241,x38242),x38243),x38244)))
% 225.11/225.10 [3840]E(f326(f168(x38401),f326(f326(f154(x38402,x38401),x38403),x38404)),f326(f326(f154(x38402,x38401),x38403),f326(f168(x38402),x38404)))
% 225.11/225.10 [3841]E(f326(f326(f154(x38411,x38412),x38413),f326(f171(x38411),x38414)),f326(f171(x38412),f326(f326(f154(x38411,x38412),x38413),x38414)))
% 225.11/225.10 [3856]E(f326(f326(f175(x38561),f326(a112,x38562)),f326(f326(f151(x38561),x38563),x38564)),f326(f326(f151(x38561),x38563),f326(f326(f175(x38561),x38562),x38564)))
% 225.11/225.10 [3860]E(f326(f172(x38601),f326(f326(f154(x38602,x38601),x38603),x38604)),f326(f309(x38602,x38601,x38603),f326(f172(x38602),x38604)))
% 225.11/225.10 [3873]E(f326(f326(f154(x38731,x38732),f326(f18(x38732,x38731),x38733)),x38734),f169(x38732,f326(f189(f918(x38731)),x38734),x38733))
% 225.11/225.10 [3909]E(f19(x39091,x39092,x39093,f326(a5,f326(a112,f326(a22,x39094)))),f326(x39093,x39094))
% 225.11/225.10 [3913]E(f326(f326(f134(x39131),f326(f136(x39131,x39132),x39133)),f326(f136(x39131,x39132),x39134)),f326(f136(x39131,x39132),f326(f326(f134(x39131),x39133),x39134)))
% 225.11/225.10 [3926]E(f152(x39261,f326(f326(f154(x39262,x39261),x39263),f152(x39262,x39264))),f152(x39261,f326(f326(f154(x39262,x39261),x39263),x39264)))
% 225.11/225.10 [3941]E(f326(f285(x39411,x39411),f326(f326(f287(x39412,x39411),x39413),x39414)),f326(f326(f287(x39412,x39411),f326(f285(x39412,x39412),x39413)),x39414))
% 225.11/225.10 [3953]E(f326(f326(f288(x39531,x39532,x39533),x39534),f188(f925(f924(x39532,x39533),a913))),f188(f925(f924(x39531,x39533),a913)))
% 225.11/225.10 [3954]E(f326(f326(f175(x39541),f326(f326(f3(a917),x39542),x39543)),f326(f326(f138(x39541),x39543),x39544)),f326(f326(f138(x39541),x39543),f326(f326(f175(x39541),x39542),x39544)))
% 225.11/225.10 [3973]E(f326(f326(f134(x39731),f169(x39731,x39732,x39733)),f169(x39731,x39734,x39733)),f169(x39731,f326(f326(f79(a917),x39732),x39734),x39733))
% 225.11/225.10 [3974]E(f326(f326(f326(f277(x39741),x39742),x39743),x39744),f326(f251(f925(a99,f925(a913,f921(f919(x39741)))),f924(a99,a99)),f326(f41(x39741),x39742)))
% 225.11/225.10 [4002]E(f36(f925(x40021,a913),f326(f309(x40022,f925(x40021,a913),x40023),x40024)),f326(f326(f38(x40022,f925(x40021,a913)),x40024),x40023))
% 225.11/225.10 [4003]E(f37(f925(x40031,a913),f326(f309(x40032,f925(x40031,a913),x40033),x40034)),f326(f326(f39(x40032,f925(x40031,a913)),x40034),x40033))
% 225.11/225.10 [4004]E(f326(f189(f918(f924(x40041,x40042))),f326(f326(f181(x40041,x40042),x40043),x40044)),f326(f326(f238(a917),f326(f189(f918(x40041)),x40043)),f326(f189(f918(x40042)),x40044)))
% 225.11/225.10 [4006]E(f326(f310(x40061,x40062,x40063),f326(f78(f925(x40062,a913)),x40064)),f326(f78(f925(x40061,a913)),f326(f310(x40061,x40062,x40063),x40064)))
% 225.11/225.10 [4055]E(f326(f310(x40551,x40552,x40553),f326(f261(x40552),x40554)),f326(f261(x40551),f326(f326(f10(x40552,a913,x40551),x40554),x40553)))
% 225.11/225.10 [4073]E(f326(f326(f164(x40731),f326(f326(f134(x40731),x40732),f326(f326(f151(x40731),x40733),x40734))),f326(f189(f918(x40731)),x40732)),x40733)
% 225.11/225.10 [4098]E(f326(f309(x40981,x40982,x40983),f326(f310(x40981,x40982,x40983),x40984)),f326(f326(f102(f925(x40982,a913)),x40984),f326(f309(x40981,x40982,x40983),f241(f925(x40981,a913)))))
% 225.11/225.10 [4117]P105(f326(f326(f328(x41171),f326(x41172,x41173)),f326(f309(x41174,x41171,x41172),f241(f925(x41174,a913)))))
% 225.11/225.10 [4126]E(f21(x41261,x41262,x41263,f326(a5,f326(a112,f326(a22,x41264)))),f326(f326(x41263,x41264),f21(x41261,x41262,x41263,x41264)))
% 225.11/225.10 [4130]E(f326(f326(f134(x41301),f169(x41301,x41302,x41303)),f326(f326(f151(x41301),x41303),x41304)),f326(f326(f151(x41301),x41303),f326(f326(f134(x41301),f169(x41301,x41302,x41303)),x41304)))
% 225.11/225.10 [4132]E(f326(f326(f253(x41321,x41322),f326(f172(x41321),x41323)),f326(f18(f925(x41322,a913),x41321),f326(f172(x41322),x41324))),f326(f172(f924(x41321,x41322)),f58(x41321,x41322,x41323,x41324)))
% 225.11/225.10 [4144]E(f155(x41441,x41442,f326(f326(f151(x41441),x41443),x41444)),f326(f326(f79(a917),f326(f326(f79(a917),f326(x41442,x41443)),f155(x41441,x41442,x41444))),f326(a112,f2(a917))))
% 225.11/225.10 [4157]E(f185(f918(x41571),f326(f326(f151(x41571),x41572),x41573),f326(f326(f9(a917,f918(x41571),f918(x41571)),f138(x41571)),x41573),x41574),f326(f326(f138(x41571),x41574),f326(f326(f151(x41571),x41572),x41573)))
% 225.11/225.10 [4158]P25(x41581,f924(x41582,x41581),f330(x41583,x41584,x41582,x41581),f326(f326(f38(x41582,f925(x41581,a913)),x41584),x41583))
% 225.11/225.10 [4167]E(f326(f326(f3(f925(x41671,a913)),f326(f326(f3(f925(x41671,a913)),x41672),x41673)),f326(f326(f308(x41671),x41674),f188(f925(x41671,a913)))),f326(f326(f3(f925(x41671,a913)),x41672),f326(f326(f308(x41671),x41674),x41673)))
% 225.11/225.10 [4180]E(f326(f326(f183(f925(x41801,x41802),f925(x41801,x41802)),x41803),f72(x41802,x41802,x41801,x41804)),f72(x41802,x41802,x41801,f326(f326(f183(x41802,x41802),x41803),x41804)))
% 225.11/225.10 [4251]E(f326(f326(f326(f183(f918(x42511),f918(x42511)),x42512),f167(x42511)),f326(f326(f326(f183(f918(x42511),f918(x42511)),x42513),f167(x42511)),x42514)),f326(f326(f326(f183(f918(x42511),f918(x42511)),f326(f326(f79(a917),x42512),x42513)),f167(x42511)),x42514))
% 225.11/225.10 [4336]P105(f326(f326(f234(f925(x43361,a913)),f326(f172(x43361),f326(f326(f159(x43361,x43362),x43363),x43364))),f326(f326(f308(x43361),x43364),f326(f172(x43361),x43362))))
% 225.11/225.10 [4370]E(f326(f326(f38(f925(x43701,a913),f925(f924(x43701,x43702),a913)),x43703),f326(f326(f9(f925(x43701,a913),f925(x43701,f925(x43702,a913)),f925(f924(x43701,x43702),a913)),f253(x43701,x43702)),x43704)),f326(f326(f253(x43701,x43702),f36(f925(x43701,a913),x43703)),x43704))
% 225.11/225.10 [4408]E(f209(x44081,x44082,x44083,f326(f72(x44082,f925(a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(x44082))))),x44081,f208(x44082)),x44084)),f210(x44081,x44082,x44084,x44083))
% 225.11/225.10 [4423]E(f205(x44231,x44232,x44233,f326(f72(x44232,f925(a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(f921(x44232)))))),x44231,f204(x44232)),x44234)),f206(x44231,x44232,x44234,x44233))
% 225.11/225.10 [4428]P105(f326(f65(x44281,x44282,x44283,x44284,f188(f925(x44281,a913))),x44284))
% 225.11/225.10 [4467]E(f326(f326(f38(x44671,f925(x44672,a913)),x44673),f326(f326(f9(x44671,f925(x44672,a913),f925(x44672,a913)),f326(f326(f10(x44672,f925(f925(x44672,a913),f925(x44672,a913)),x44671),f308(x44672)),x44674)),f188(f925(x44672,a913)))),f326(f309(x44671,x44672,x44674),x44673))
% 225.11/225.10 [4474]P105(f326(f326(f234(f925(x44741,a913)),f326(f283(x44742,x44741),f326(f326(f102(f925(f924(x44742,x44741),a913)),x44743),x44744))),f326(f326(f102(f925(x44741,a913)),f326(f283(x44742,x44741),x44743)),f326(f283(x44742,x44741),x44744))))
% 225.11/225.10 [4475]P105(f326(f326(f234(f925(x44751,a913)),f326(f263(x44751,x44752),f326(f326(f102(f925(f924(x44751,x44752),a913)),x44753),x44754))),f326(f326(f102(f925(x44751,a913)),f326(f263(x44751,x44752),x44753)),f326(f263(x44751,x44752),x44754))))
% 225.11/225.10 [4535]P105(f326(f326(f234(f925(f924(x45351,x45352),a913)),f326(f309(x45352,f924(x45351,x45352),f330(x45353,x45354,x45351,x45352)),f326(f326(f38(x45351,f925(x45352,a913)),x45354),x45353))),f326(f326(f253(x45351,x45352),x45354),x45353)))
% 225.11/225.10 [4536]E(f326(f118(x45361,f924(x45361,x45362),x45363),f326(f326(f10(f925(x45362,f919(f924(x45361,x45362))),f919(f924(x45361,x45362)),x45361),f118(x45362,f924(x45361,x45362),x45364)),f326(f326(f10(f925(x45362,f924(x45361,x45362)),f925(x45362,f919(f924(x45361,x45362))),x45361),f326(f10(f924(x45361,x45362),f919(f924(x45361,x45362)),x45362),f129(f924(x45361,x45362)))),f251(x45361,x45362)))),f131(x45361,x45362,x45363,x45364))
% 225.11/225.10 [4537]E(f275(x45371,x45372,x45373,f326(f72(x45372,f925(a99,f925(a99,f925(f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x45372)))),f924(a99,a99))))),x45371,f277(x45372)),x45374)),f278(x45371,x45372,x45374,x45373))
% 225.11/225.10 [4577]E(f84(f924(x45771,x45772),f326(f256(x45771,x45772,a913),f326(f326(f9(x45771,f925(x45772,a913),f925(x45772,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x45772,a913),f925(x45772,a913)),x45771),f10(a913,a913,x45772)),f326(f326(f10(a913,f925(a913,a913),x45771),a324),f326(a323,x45773)))),f326(a323,x45774)))),f326(f326(f251(x45771,x45772),x45773),x45774))
% 225.11/225.10 [4578]E(f89(f924(x45781,x45782),f326(f256(x45781,x45782,a913),f326(f326(f9(x45781,f925(x45782,a913),f925(x45782,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x45782,a913),f925(x45782,a913)),x45781),f10(a913,a913,x45782)),f326(f326(f10(a913,f925(a913,a913),x45781),a324),f326(a323,x45783)))),f326(a323,x45784)))),f326(f326(f251(x45781,x45782),x45783),x45784))
% 225.11/225.10 [4650]E(f326(f326(f256(f918(x46501),f918(x46501),f924(f918(x46501),f918(x46501))),f326(f326(f20(f918(x46501),f925(f918(x46501),f924(f918(x46501),f918(x46501))),f925(f918(x46501),f924(f918(x46501),f918(x46501)))),f326(f326(f10(f925(f918(x46501),f925(f924(f918(x46501),f918(x46501)),f924(f918(x46501),f918(x46501)))),f925(f925(f918(x46501),f924(f918(x46501),f918(x46501))),f925(f918(x46501),f924(f918(x46501),f918(x46501)))),f918(x46501)),f20(f918(x46501),f924(f918(x46501),f918(x46501)),f924(f918(x46501),f918(x46501)))),f326(f326(f10(f925(f918(x46501),f924(f918(x46501),f918(x46501))),f925(f918(x46501),f925(f924(f918(x46501),f918(x46501)),f924(f918(x46501),f918(x46501)))),f918(x46501)),f326(f10(f924(f918(x46501),f918(x46501)),f925(f924(f918(x46501),f918(x46501)),f924(f918(x46501),f918(x46501))),f918(x46501)),f326(f96(f924(f918(x46501),f918(x46501))),f326(x46502,x46503)))),f326(f326(f10(f918(x46501),f925(f918(x46501),f924(f918(x46501),f918(x46501))),f918(x46501)),f251(f918(x46501),f918(x46501))),f326(f151(x46501),x46503))))),f326(f326(f9(f918(x46501),f925(f918(x46501),f918(x46501)),f925(f918(x46501),f924(f918(x46501),f918(x46501)))),f326(f326(f10(f925(f918(x46501),f924(f918(x46501),f918(x46501))),f925(f925(f918(x46501),f918(x46501)),f925(f918(x46501),f924(f918(x46501),f918(x46501)))),f918(x46501)),f10(f918(x46501),f924(f918(x46501),f918(x46501)),f918(x46501))),f251(f918(x46501),f918(x46501)))),f326(f151(x46501),x46503)))),f166(x46501,x46502,x46504)),f166(x46501,x46502,f326(f326(f151(x46501),x46503),x46504)))
% 225.11/225.10 [3889]E(f326(f326(f175(x38891),x38892),f326(f326(f175(x38891),x38893),x38894)),f326(f326(f175(x38891),f326(f326(f238(a917),x38892),x38893)),x38894))
% 225.11/225.10 [3890]E(f326(f326(f138(x38901),x38902),f326(f326(f138(x38901),x38903),x38904)),f326(f326(f138(x38901),f326(f326(f79(a917),x38902),x38903)),x38904))
% 225.11/225.10 [3901]E(f326(f326(f134(x39011),f326(f326(f151(x39011),x39012),x39013)),x39014),f326(f326(f151(x39011),x39012),f326(f326(f134(x39011),x39013),x39014)))
% 225.11/225.10 [3902]E(f326(f326(f134(x39021),f326(f326(f134(x39021),x39022),x39023)),x39024),f326(f326(f134(x39021),x39022),f326(f326(f134(x39021),x39023),x39024)))
% 225.11/225.10 [3985]E(f326(f326(f164(x39851),f326(f326(f151(x39851),x39852),x39853)),x39854),f185(x39851,x39852,f326(f164(x39851),x39853),x39854))
% 225.11/225.10 [3994]E(f326(f326(f183(x39941,x39941),x39942),f326(f326(f183(x39941,x39941),x39943),x39944)),f326(f326(f183(x39941,x39941),f326(f326(f80(a917),x39943),x39942)),x39944))
% 225.11/225.10 [4022]E(f326(f326(f101(f925(x40221,a913)),x40222),f326(f326(f308(x40221),x40223),x40224)),f326(f326(f308(x40221),x40223),f326(f326(f101(f925(x40221,a913)),x40222),x40224)))
% 225.11/225.10 [4037]E(f326(f326(f326(f183(x40371,x40371),x40372),x40373),f326(x40373,x40374)),f326(x40373,f326(f326(f326(f183(x40371,x40371),x40372),x40373),x40374)))
% 225.11/225.10 [4046]E(f326(f326(f288(x40461,x40462,x40463),f188(f925(f924(x40461,x40462),a913))),x40464),f188(f925(f924(x40461,x40463),a913)))
% 225.11/225.10 [4061]E(f326(f326(f101(f925(x40611,a913)),f326(f326(f308(x40611),x40612),x40613)),x40614),f326(f326(f308(x40611),x40612),f326(f326(f101(f925(x40611,a913)),x40613),x40614)))
% 225.11/225.10 [4080]E(f326(f34(f924(x40801,x40802)),f326(f326(f253(x40801,x40802),x40803),f326(f18(f925(x40802,a913),x40801),x40804))),f326(f326(f80(a917),f326(f34(x40801),x40803)),f326(f34(x40802),x40804)))
% 225.11/225.10 [4087]E(f326(f326(f102(f925(x40871,a913)),f326(f326(f308(x40871),x40872),x40873)),f326(f326(f308(x40871),x40872),x40874)),f326(f326(f308(x40871),x40872),f326(f326(f102(f925(x40871,a913)),x40873),x40874)))
% 225.11/225.10 [4102]E(f326(f326(f101(f925(x41021,a913)),x41022),f326(f326(f101(f925(x41021,a913)),x41023),x41024)),f326(f326(f101(f925(x41021,a913)),x41023),f326(f326(f101(f925(x41021,a913)),x41022),x41024)))
% 225.11/225.10 [4103]E(f326(f326(f102(f925(x41031,a913)),x41032),f326(f326(f102(f925(x41031,a913)),x41033),x41034)),f326(f326(f102(f925(x41031,a913)),x41033),f326(f326(f102(f925(x41031,a913)),x41032),x41034)))
% 225.11/225.10 [4113]E(f63(x41131,x41132,f326(f326(f10(x41132,f925(x41132,x41132),x41131),x41133),x41134)),f326(f64(x41132,x41131,x41133),x41134))
% 225.11/225.10 [4122]E(f179(x41221,f326(f326(f154(f918(x41222),f918(x41221)),f326(f154(x41222,x41221),x41223)),x41224)),f326(f326(f154(f918(x41222),f918(x41221)),f326(f154(x41222,x41221),x41223)),f179(x41222,x41224)))
% 225.11/225.10 [4141]E(f326(f142(f918(x41411),f918(x41411),f134(x41411),f113(x41411)),f326(f326(f154(x41412,f918(x41411)),x41413),x41414)),f163(x41412,x41411,x41413,x41414))
% 225.11/225.10 [4198]E(f326(f72(x41981,x41981,x41981,f326(f326(f183(x41981,x41981),x41982),x41983)),f326(f326(f183(x41981,x41981),x41984),x41983)),f326(f326(f183(x41981,x41981),f326(f326(f79(a917),x41982),x41984)),x41983))
% 225.11/225.10 [4221]E(f326(f326(f102(f925(x42211,a913)),f326(f326(f3(f925(x42211,a913)),x42212),x42213)),f326(f326(f3(f925(x42211,a913)),x42212),x42214)),f326(f326(f3(f925(x42211,a913)),x42212),f326(f326(f101(f925(x42211,a913)),x42213),x42214)))
% 225.11/225.10 [4222]E(f326(f326(f101(f925(x42221,a913)),f326(f326(f3(f925(x42221,a913)),x42222),x42223)),f326(f326(f3(f925(x42221,a913)),x42222),x42224)),f326(f326(f3(f925(x42221,a913)),x42222),f326(f326(f102(f925(x42221,a913)),x42223),x42224)))
% 225.11/225.10 [4223]E(f326(f326(f102(f925(x42231,a913)),f326(f326(f101(f925(x42231,a913)),x42232),x42233)),f326(f326(f101(f925(x42231,a913)),x42232),x42234)),f326(f326(f101(f925(x42231,a913)),x42232),f326(f326(f102(f925(x42231,a913)),x42233),x42234)))
% 225.11/225.10 [4224]E(f326(f326(f3(f925(x42241,a913)),f326(f326(f102(f925(x42241,a913)),x42242),x42243)),f326(f326(f102(f925(x42241,a913)),x42242),x42244)),f326(f326(f102(f925(x42241,a913)),x42242),f326(f326(f3(f925(x42241,a913)),x42243),x42244)))
% 225.11/225.10 [4225]E(f326(f326(f101(f925(x42251,a913)),f326(f326(f102(f925(x42251,a913)),x42252),x42253)),f326(f326(f102(f925(x42251,a913)),x42252),x42254)),f326(f326(f102(f925(x42251,a913)),x42252),f326(f326(f101(f925(x42251,a913)),x42253),x42254)))
% 225.11/225.10 [4230]E(f326(f34(f924(x42301,x42302)),f326(f326(f253(x42301,x42302),f326(f326(f308(x42301),x42303),f188(f925(x42301,a913)))),f326(f18(f925(x42302,a913),x42301),x42304))),f326(f34(x42302),x42304))
% 225.11/225.10 [4265]E(f326(f326(f39(x42651,f925(x42652,a913)),x42653),f326(f326(f10(f925(x42652,a913),f925(x42652,a913),x42651),f78(f925(x42652,a913))),x42654)),f326(f78(f925(x42652,a913)),f326(f326(f38(x42651,f925(x42652,a913)),x42653),x42654)))
% 225.11/225.10 [4266]E(f326(f326(f38(x42661,f925(x42662,a913)),x42663),f326(f326(f10(f925(x42662,a913),f925(x42662,a913),x42661),f78(f925(x42662,a913))),x42664)),f326(f78(f925(x42662,a913)),f326(f326(f39(x42661,f925(x42662,a913)),x42663),x42664)))
% 225.11/225.10 [4282]E(f326(f326(f288(x42821,x42821,x42821),f326(f326(f183(f924(x42821,x42821),a913),x42822),x42823)),f326(f326(f183(f924(x42821,x42821),a913),x42824),x42823)),f326(f326(f183(f924(x42821,x42821),a913),f326(f326(f79(a917),x42822),x42824)),x42823))
% 225.11/225.10 [4312]E(f326(f326(f39(x43121,f925(f925(x43122,a913),a913)),x43123),f326(f326(f10(f925(x43122,a913),f925(f925(x43122,a913),a913),x43121),f307(x43122)),x43124)),f326(f307(x43122),f326(f326(f39(x43121,f925(x43122,a913)),x43123),x43124)))
% 225.11/225.10 [4343]E(f326(f326(f38(f925(x43431,a913),f925(x43432,a913)),x43433),f326(f326(f9(f925(x43431,a913),f925(x43431,f925(x43432,a913)),f925(x43432,a913)),f38(x43431,f925(x43432,a913))),x43434)),f326(f326(f38(x43431,f925(x43432,a913)),f36(f925(x43431,a913),x43433)),x43434))
% 225.11/225.10 [4344]E(f326(f326(f39(f925(x43441,a913),f925(x43442,a913)),x43443),f326(f326(f9(f925(x43441,a913),f925(x43441,f925(x43442,a913)),f925(x43442,a913)),f39(x43441,f925(x43442,a913))),x43444)),f326(f326(f39(x43441,f925(x43442,a913)),f36(f925(x43441,a913),x43443)),x43444))
% 225.11/225.10 [4349]E(f326(f326(f154(x43491,x43492),x43493),f326(f142(f918(x43491),f918(x43491),f134(x43491),f113(x43491)),x43494)),f326(f142(f918(x43492),f918(x43492),f134(x43492),f113(x43492)),f326(f326(f154(f918(x43491),f918(x43492)),f326(f154(x43491,x43492),x43493)),x43494)))
% 225.11/225.10 [4351]E(f185(f918(x43511),f113(x43511),f326(f326(f10(f918(x43511),f918(x43511),a917),f326(f151(x43511),x43512)),f326(f326(f9(a917,f918(x43511),f918(x43511)),f175(x43511)),x43513)),x43514),f326(f326(f175(x43511),x43514),f326(f326(f151(x43511),x43512),x43513)))
% 225.11/225.10 [4389]P105(f326(f326(f234(f925(x43891,a913)),f326(f309(x43892,x43891,x43893),f326(f310(x43892,x43891,x43893),x43894))),x43894))
% 225.11/225.10 [4391]E(f326(f309(f924(x43911,x43912),f924(x43912,x43911),f326(f256(x43911,x43912,f924(x43912,x43911)),f326(f9(x43912,x43911,f924(x43912,x43911)),f251(x43912,x43911)))),f326(f326(f253(x43911,x43912),x43913),f326(f18(f925(x43912,a913),x43911),x43914))),f326(f326(f253(x43912,x43911),x43914),f326(f18(f925(x43911,a913),x43912),x43913)))
% 225.11/225.10 [4400]E(f326(f326(f38(x44001,f925(x44002,a913)),x44003),f326(f326(f10(f925(x44001,a913),f925(x44002,a913),x44001),f284(x44001,x44002,x44004)),f326(f326(f9(x44001,f925(x44001,a913),f925(x44001,a913)),f308(x44001)),f188(f925(x44001,a913))))),f326(f284(x44001,x44002,x44004),x44003))
% 225.11/225.10 [4401]E(f326(f326(f38(x44011,f925(x44012,a913)),x44013),f326(f326(f10(f925(x44011,a913),f925(x44012,a913),x44011),f310(x44012,x44011,x44014)),f326(f326(f9(x44011,f925(x44011,a913),f925(x44011,a913)),f308(x44011)),f188(f925(x44011,a913))))),f326(f310(x44012,x44011,x44014),x44013))
% 225.11/225.10 [4488]E(f326(f326(f102(f925(x44881,a913)),f326(f326(f102(f925(x44881,a913)),f326(f326(f101(f925(x44881,a913)),x44882),x44883)),f326(f326(f101(f925(x44881,a913)),x44883),x44884))),f326(f326(f101(f925(x44881,a913)),x44884),x44882)),f326(f326(f101(f925(x44881,a913)),f326(f326(f101(f925(x44881,a913)),f326(f326(f102(f925(x44881,a913)),x44882),x44883)),f326(f326(f102(f925(x44881,a913)),x44883),x44884))),f326(f326(f102(f925(x44881,a913)),x44884),x44882)))
% 225.11/225.10 [4551]E(f326(f142(f918(x45511),f918(x45511),f134(x45511),f113(x45511)),f326(f326(f154(x45512,f918(x45511)),f326(f326(f9(x45512,f918(x45511),f918(x45511)),f326(f326(f10(x45511,f925(f918(x45511),f918(x45511)),x45512),f151(x45511)),x45513)),f113(x45511))),x45514)),f326(f326(f154(x45512,x45511),x45513),x45514))
% 225.11/225.10 [4561]E(f326(f326(f85(a1,x45611),f326(f104(a1),f326(f326(f79(a1),x45612),a97))),f326(f326(f20(a1,x45611,x45611),f326(f326(f9(a1,x45611,f925(x45611,x45611)),f326(f326(f10(a913,f925(x45611,f925(x45611,x45611)),a1),f96(x45611)),a193)),x45613)),f326(f326(f10(a917,x45611,a1),x45614),a105))),f185(x45611,x45613,x45614,f326(f104(a917),x45612)))
% 225.11/225.10 [4592]E(f326(f261(x45921),f326(f326(f10(f925(x45922,a913),a913,x45921),f86(x45922)),f326(f326(f10(f925(x45922,a913),f925(x45922,a913),x45921),f326(f20(x45922,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45922),a324),f326(f326(f9(x45922,f925(x45922,a913),a913),f328(x45922)),x45923)))),f326(f9(x45922,x45921,a913),x45924)))),f326(f284(x45922,x45921,f326(f261(f924(x45922,x45921)),f326(f256(x45922,x45921,a913),x45924))),x45923))
% 225.11/225.10 [4747]~P105(f326(f326(f188(f925(x47471,f925(x47472,a913))),x47473),x47474))
% 225.11/225.10 [4049]E(f326(f326(f164(x40491),f326(f326(f134(x40491),x40492),x40493)),f326(f326(f79(a917),f326(f189(f918(x40491)),x40492)),x40494)),f326(f326(f164(x40491),x40493),x40494))
% 225.11/225.10 [4054]E(f326(f326(f138(x40541),x40542),f326(f326(f175(x40541),f326(f326(f79(a917),x40543),x40542)),x40544)),f326(f326(f175(x40541),x40543),f326(f326(f138(x40541),x40542),x40544)))
% 225.11/225.10 [4155]E(f326(f326(f101(f925(x41551,a913)),f326(f283(x41552,x41551),x41553)),f326(f283(x41552,x41551),x41554)),f326(f283(x41552,x41551),f326(f326(f101(f925(f924(x41552,x41551),a913)),x41553),x41554)))
% 225.11/225.10 [4156]E(f326(f326(f101(f925(x41561,a913)),f326(f263(x41561,x41562),x41563)),f326(f263(x41561,x41562),x41564)),f326(f263(x41561,x41562),f326(f326(f101(f925(f924(x41561,x41562),a913)),x41563),x41564)))
% 225.11/225.10 [4161]E(f326(f326(f3(f925(x41611,a913)),f326(f326(f102(f925(x41611,a913)),x41612),x41613)),x41614),f326(f326(f102(f925(x41611,a913)),x41612),f326(f326(f3(f925(x41611,a913)),x41613),x41614)))
% 225.11/225.10 [4162]E(f326(f326(f101(f925(x41621,a913)),f326(f326(f101(f925(x41621,a913)),x41622),x41623)),x41624),f326(f326(f101(f925(x41621,a913)),x41622),f326(f326(f101(f925(x41621,a913)),x41623),x41624)))
% 225.11/225.10 [4163]E(f326(f326(f102(f925(x41631,a913)),f326(f326(f102(f925(x41631,a913)),x41632),x41633)),x41634),f326(f326(f102(f925(x41631,a913)),x41632),f326(f326(f102(f925(x41631,a913)),x41633),x41634)))
% 225.11/225.10 [4200]E(f326(f326(f101(f925(f924(x42001,x42002),a913)),f326(f285(x42002,x42001),x42003)),f326(f285(x42002,x42001),x42004)),f326(f285(x42002,x42001),f326(f326(f101(f925(f924(x42002,x42001),a913)),x42003),x42004)))
% 225.11/225.10 [4201]E(f326(f326(f102(f925(f924(x42011,x42012),a913)),f326(f285(x42012,x42011),x42013)),f326(f285(x42012,x42011),x42014)),f326(f285(x42012,x42011),f326(f326(f102(f925(f924(x42012,x42011),a913)),x42013),x42014)))
% 225.11/225.10 [4214]E(f326(f326(f101(f925(x42141,f925(x42142,a913))),f242(x42142,x42141,x42143)),f242(x42142,x42141,x42144)),f242(x42142,x42141,f326(f326(f101(f925(x42142,f925(x42141,a913))),x42143),x42144)))
% 225.11/225.10 [4215]E(f326(f326(f102(f925(x42151,f925(x42152,a913))),f242(x42152,x42151,x42153)),f242(x42152,x42151,x42154)),f242(x42152,x42151,f326(f326(f102(f925(x42152,f925(x42151,a913))),x42153),x42154)))
% 225.11/225.10 [4269]E(f326(f326(f101(f925(x42691,a913)),f326(f326(f3(f925(x42691,a913)),x42692),x42693)),f326(f326(f3(f925(x42691,a913)),x42694),x42693)),f326(f326(f3(f925(x42691,a913)),f326(f326(f101(f925(x42691,a913)),x42692),x42694)),x42693))
% 225.11/225.10 [4270]E(f326(f326(f102(f925(x42701,a913)),f326(f326(f101(f925(x42701,a913)),x42702),x42703)),f326(f326(f101(f925(x42701,a913)),x42704),x42703)),f326(f326(f101(f925(x42701,a913)),f326(f326(f102(f925(x42701,a913)),x42702),x42704)),x42703))
% 225.11/225.10 [4271]E(f326(f326(f3(f925(x42711,a913)),f326(f326(f102(f925(x42711,a913)),x42712),x42713)),f326(f326(f102(f925(x42711,a913)),x42714),x42713)),f326(f326(f102(f925(x42711,a913)),f326(f326(f3(f925(x42711,a913)),x42712),x42714)),x42713))
% 225.11/225.10 [4272]E(f326(f326(f101(f925(x42721,a913)),f326(f326(f102(f925(x42721,a913)),x42722),x42723)),f326(f326(f102(f925(x42721,a913)),x42724),x42723)),f326(f326(f102(f925(x42721,a913)),f326(f326(f101(f925(x42721,a913)),x42722),x42724)),x42723))
% 225.11/225.10 [4273]E(f326(f326(f3(f925(x42731,a913)),f326(f326(f102(f925(x42731,a913)),x42732),x42733)),f326(f326(f102(f925(x42731,a913)),x42734),x42733)),f326(f326(f3(f925(x42731,a913)),f326(f326(f102(f925(x42731,a913)),x42732),x42733)),x42734))
% 225.11/225.10 [4285]E(f326(f326(f3(f925(x42851,a913)),f326(f326(f3(f925(x42851,a913)),x42852),f326(f326(f308(x42851),x42853),f188(f925(x42851,a913))))),x42854),f326(f326(f3(f925(x42851,a913)),x42852),f326(f326(f308(x42851),x42853),x42854)))
% 225.11/225.10 [4338]E(f326(f326(f101(f925(x43381,a913)),f326(f326(f308(x43381),x43382),f326(f326(f308(x43381),x43383),f188(f925(x43381,a913))))),f326(f280(x43381),x43384)),f326(f280(x43381),f326(f326(f308(f924(x43381,x43381)),f326(f326(f251(x43381,x43381),x43382),x43383)),x43384)))
% 225.11/225.10 [4365]E(f326(f326(f38(a917,f925(x43651,a913)),f326(f300(a917),x43652)),f326(f326(f10(a917,f925(x43651,a913),a917),x43653),f326(f326(f9(a917,a917,a917),f79(a917)),x43654))),f326(f326(f38(a917,f925(x43651,a913)),f302(a917,x43654,f326(f326(f79(a917),x43652),x43654))),x43653))
% 225.11/225.10 [4366]E(f174(x43661,f326(f284(x43661,x43661,x43662),f326(f326(f308(x43661),x43663),f188(f925(x43661,a913)))),f326(f284(f918(x43661),f918(x43661),f158(x43661,x43662)),f326(f326(f308(f918(x43661)),x43664),f188(f925(f918(x43661),a913))))),f326(f284(f918(x43661),f918(x43661),f158(x43661,x43662)),f326(f326(f308(f918(x43661)),f326(f326(f151(x43661),x43663),x43664)),f188(f925(f918(x43661),a913)))))
% 225.11/225.10 [4430]E(f326(f261(x44301),f326(f326(f9(x44301,f925(x44302,a913),a913),f326(f326(f10(x44302,f925(f925(x44302,a913),a913),x44301),f328(x44302)),x44303)),x44304)),f326(f310(x44301,x44302,x44303),x44304))
% 225.11/225.10 [4520]E(f326(f261(x45201),f326(f326(f9(x45201,f925(f924(x45202,x45201),a913),a913),f326(f326(f10(f924(x45202,x45201),f925(f925(f924(x45202,x45201),a913),a913),x45201),f328(f924(x45202,x45201))),f326(f251(x45202,x45201),x45203))),x45204)),f326(f284(x45202,x45201,x45204),f326(f326(f308(x45202),x45203),f188(f925(x45202,a913)))))
% 225.11/225.10 [4534]E(f326(f326(f154(f924(x45341,a917),x45341),f250(x45341,a917)),f326(f136(f924(x45341,a917),f326(f326(f10(a917,a913,f924(x45341,a917)),x45342),f326(f326(f10(a917,a917,f924(x45341,a917)),a112),f255(x45341,a917)))),f326(f326(f181(x45341,a917),x45343),x45344))),f326(f326(f154(f924(x45341,a917),x45341),f250(x45341,a917)),f326(f136(f924(x45341,a917),f326(f326(f10(a917,a913,f924(x45341,a917)),x45342),f255(x45341,a917))),f326(f326(f181(x45341,a917),x45343),f326(f326(f154(a917,a917),a112),x45344)))))
% 225.11/225.10 [4543]P105(f326(f326(f234(f925(f925(x45431,a913),a913)),f326(f326(f38(x45432,f925(f925(x45431,a913),a913)),x45433),f326(f326(f10(f925(x45431,a913),f925(f925(x45431,a913),a913),x45432),f307(x45431)),x45434))),f326(f307(x45431),f326(f326(f38(x45432,f925(x45431,a913)),x45433),x45434))))
% 225.11/225.10 [4584]E(f326(f326(f85(a1,x45841),f326(f104(a1),f326(f326(f79(a1),x45842),a97))),f326(f326(f20(a1,x45841,x45841),f326(f326(f9(a1,x45841,f925(x45841,x45841)),f326(f326(f10(a913,f925(x45841,f925(x45841,x45841)),a1),f96(x45841)),a193)),x45843)),f326(f326(f20(a1,x45841,x45841),f326(f326(f10(a917,f925(x45841,x45841),a1),x45844),a105)),f326(f326(f10(a917,x45841,a1),f184(x45841,x45843,x45844)),a105)))),f326(f184(x45841,x45843,x45844),f326(f104(a917),x45842)))
% 225.11/225.10 [4608]E(f326(f261(f924(x46081,x46082)),f326(f256(x46081,x46082,a913),f326(f326(f9(x46081,f925(x46082,a913),f925(x46082,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x46082,a913),f925(x46082,a913)),x46081),f10(a913,a913,x46082)),f326(f326(f10(a913,f925(a913,a913),x46081),a324),f326(f326(f9(x46081,f925(x46081,a913),a913),f328(x46081)),x46083)))),f326(f326(f9(x46082,f925(x46082,a913),a913),f328(x46082)),x46084)))),f229(x46081,x46082,x46083,x46084))
% 225.11/225.10 [4645]E(f326(f326(f38(x46451,f925(f924(x46451,x46452),a913)),x46453),f326(f326(f20(x46451,f925(x46452,f925(f924(x46451,x46452),a913)),f925(f924(x46451,x46452),a913)),f326(f326(f10(f925(x46452,a913),f925(f925(x46452,f925(f924(x46451,x46452),a913)),f925(f924(x46451,x46452),a913)),x46451),f38(x46452,f925(f924(x46451,x46452),a913))),x46454)),f326(f326(f9(x46451,f925(f924(x46451,x46452),a913),f925(x46452,f925(f924(x46451,x46452),a913))),f326(f326(f10(f925(x46452,f925(f925(f924(x46451,x46452),a913),f925(f924(x46451,x46452),a913))),f925(f925(f924(x46451,x46452),a913),f925(x46452,f925(f924(x46451,x46452),a913))),x46451),f9(x46452,f925(f924(x46451,x46452),a913),f925(f924(x46451,x46452),a913))),f326(f326(f10(f925(x46452,f924(x46451,x46452)),f925(x46452,f925(f925(f924(x46451,x46452),a913),f925(f924(x46451,x46452),a913))),x46451),f326(f10(f924(x46451,x46452),f925(f925(f924(x46451,x46452),a913),f925(f924(x46451,x46452),a913)),x46452),f308(f924(x46451,x46452)))),f251(x46451,x46452)))),f188(f925(f924(x46451,x46452),a913))))),f326(f326(f253(x46451,x46452),x46453),x46454))
% 225.11/225.10 [4209]E(f326(f326(f134(x42091),f326(f326(f175(x42091),x42092),x42093)),f326(f326(f175(x42091),f326(f326(f3(a917),x42092),f326(f189(f918(x42091)),x42093))),x42094)),f326(f326(f175(x42091),x42092),f326(f326(f134(x42091),x42093),x42094)))
% 225.11/225.10 [4210]E(f326(f326(f134(x42101),f326(f326(f138(x42101),x42102),x42103)),f326(f326(f138(x42101),f326(f326(f3(a917),x42102),f326(f189(f918(x42101)),x42103))),x42104)),f326(f326(f138(x42101),x42102),f326(f326(f134(x42101),x42103),x42104)))
% 225.11/225.10 [4259]E(f326(f326(f79(a917),f326(f326(f80(a917),x42591),x42592)),f326(f326(f79(a917),f326(f326(f80(a917),x42593),x42592)),x42594)),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f79(a917),x42591),x42593)),x42592)),x42594))
% 225.11/225.10 [4406]E(f89(x44061,f326(f326(f9(x44061,x44062,a913),f326(f326(f10(x44062,f925(x44062,a913),x44061),a323),x44063)),x44064)),f326(f90(x44061,x44062,f241(f925(x44061,a913)),x44063),x44064))
% 225.11/225.10 [4454]P105(f326(f326(f234(f925(x44541,a913)),f326(f326(f3(f925(x44541,a913)),f326(f283(x44542,x44541),x44543)),f326(f283(x44542,x44541),x44544))),f326(f283(x44542,x44541),f326(f326(f3(f925(f924(x44542,x44541),a913)),x44543),x44544))))
% 225.11/225.10 [4455]P105(f326(f326(f234(f925(x44551,a913)),f326(f326(f3(f925(x44551,a913)),f326(f263(x44551,x44552),x44553)),f326(f263(x44551,x44552),x44554))),f326(f263(x44551,x44552),f326(f326(f3(f925(f924(x44551,x44552),a913)),x44553),x44554))))
% 225.11/225.10 [4563]E(f326(f326(f79(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x45631),x45632)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x45633),x45634)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),f326(f326(f79(a917),x45631),x45633)),f326(f326(f79(a917),x45632),x45634))),f188(f925(f924(a917,a917),a913))))))
% 225.11/225.10 [4603]E(f326(f326(f80(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x46031),x46032)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x46033),x46034)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),f326(f326(f79(a917),f326(f326(f80(a917),x46031),x46033)),f326(f326(f80(a917),x46032),x46034))),f326(f326(f79(a917),f326(f326(f80(a917),x46031),x46034)),f326(f326(f80(a917),x46032),x46033)))),f188(f925(f924(a917,a917),a913))))))
% 225.11/225.10 [4624]E(f326(f261(x46241),f326(f326(f10(f925(x46242,a913),a913,x46241),f87(x46242)),f326(f326(f10(f925(x46242,a913),f925(x46242,a913),x46241),f326(f20(x46242,a913,a913),f326(f326(f10(a913,f925(a913,a913),x46242),a329),f326(f326(f9(x46242,f925(x46242,a913),a913),f328(x46242)),x46243)))),f326(f326(f9(x46241,f925(x46242,f925(x46241,a913)),f925(x46242,a913)),f326(f326(f10(f925(f925(x46241,a913),a913),f925(f925(x46242,f925(x46241,a913)),f925(x46242,a913)),x46241),f10(f925(x46241,a913),a913,x46242)),f328(x46241))),x46244)))),f326(f326(f39(x46242,f925(x46241,a913)),x46243),x46244))
% 225.11/225.10 [4657]E(f326(f326(f288(x46571,x46571,x46571),f326(f326(f308(f924(x46571,x46571)),f326(f326(f251(x46571,x46571),x46572),x46573)),x46574)),f306(x46571,f326(f326(f308(f924(x46571,x46571)),f326(f326(f251(x46571,x46571),x46572),x46573)),x46574))),f326(f326(f101(f925(f924(x46571,x46571),a913)),f326(f326(f288(x46571,x46571,x46571),x46574),f306(x46571,x46574))),f326(f261(f924(x46571,x46571)),f326(f256(x46571,x46571,a913),f326(f326(f9(x46571,f925(x46571,a913),f925(x46571,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x46571,a913),f925(x46571,a913)),x46571),f10(a913,a913,x46571)),f326(f326(f10(a913,f925(a913,a913),x46571),a324),f326(f326(f9(x46571,f925(f924(x46571,x46571),a913),a913),f326(f326(f10(f924(x46571,x46571),f925(f925(f924(x46571,x46571),a913),a913),x46571),f328(f924(x46571,x46571))),f326(f326(f9(x46571,x46571,f924(x46571,x46571)),f251(x46571,x46571)),x46572))),f306(x46571,x46574))))),f326(f326(f9(x46571,f925(f924(x46571,x46571),a913),a913),f326(f326(f10(f924(x46571,x46571),f925(f925(f924(x46571,x46571),a913),a913),x46571),f328(f924(x46571,x46571))),f326(f251(x46571,x46571),x46573))),f306(x46571,x46574)))))))
% 225.11/225.10 [4456]E(f326(f136(x44561,f326(f326(f20(x44561,a913,a913),f326(f326(f10(a913,f925(a913,a913),x44561),a324),x44562)),x44563)),x44564),f326(f136(x44561,x44563),f326(f136(x44561,x44562),x44564)))
% 225.11/225.10 [4557]E(f326(f326(f134(x45571),f326(f326(f326(f96(f918(x45571)),f326(f326(f328(a917),f2(a917)),x45572)),f326(f326(f151(x45571),x45573),f113(x45571))),f113(x45571))),f176(x45571,x45574,f326(f261(a917),f326(f326(f9(a917,f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),a917),f328(a917)),a112)),x45572)))),f176(x45571,f326(f326(f151(x45571),x45573),x45574),x45572))
% 225.11/225.10 [4653]E(f326(f261(f924(x46531,x46532)),f326(f326(f10(f925(a917,a913),a913,f924(x46531,x46532)),f86(a917)),f326(f326(f9(f924(x46531,x46532),f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),f924(x46531,x46532)),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),f924(x46531,x46532)),f326(f10(a913,f925(a913,a913),a917),a324)),f326(f326(f9(f924(x46531,x46532),f925(a917,f924(x46531,x46532)),f925(a917,a913)),f326(f326(f10(f925(f924(x46531,x46532),a913),f925(f925(a917,f924(x46531,x46532)),f925(a917,a913)),f924(x46531,x46532)),f10(f924(x46531,x46532),a913,a917)),a323)),f326(f326(f20(a917,x46532,f924(x46531,x46532)),f326(f326(f10(x46531,f925(x46532,f924(x46531,x46532)),a917),f251(x46531,x46532)),f326(f164(x46531),x46533))),f326(f164(x46532),x46534)))))),f326(f326(f9(a917,a917,a913),f235(a917)),f326(f326(f238(a917),f326(f189(f918(x46531)),x46533)),f326(f189(f918(x46532)),x46534)))))),f326(f172(f924(x46531,x46532)),f326(f326(f181(x46531,x46532),x46533),x46534)))
% 225.11/225.10 [4576]E(f326(f261(f924(x45761,x45762)),f326(f256(x45761,x45762,a913),f326(f326(f9(x45761,f925(x45762,a913),f925(x45762,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x45762,a913),f925(x45762,a913)),x45761),f10(a913,a913,x45762)),f326(f326(f10(a913,f925(a913,a913),x45761),a324),x45763))),x45764))),f326(f326(f253(x45761,x45762),f326(f261(x45761),x45763)),f326(f18(f925(x45762,a913),x45761),f326(f261(x45762),x45764))))
% 225.11/225.10 [4579]E(f326(f261(f924(x45791,x45792)),f326(f256(x45791,x45792,a913),f326(f326(f20(x45791,f925(x45792,a913),f925(x45792,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x45792,a913),f925(x45792,a913)),x45791),f10(a913,a913,x45792)),f326(f326(f10(a913,f925(a913,a913),x45791),a324),x45793))),x45794))),f326(f326(f253(x45791,x45792),f326(f261(x45791),x45793)),f326(f326(f10(f925(x45792,a913),f925(x45792,a913),x45791),f261(x45792)),x45794)))
% 225.11/225.10 [4591]E(f326(f261(x45911),f326(f326(f10(f925(x45912,a913),a913,x45911),f87(x45912)),f326(f326(f10(f925(x45912,a913),f925(x45912,a913),x45911),f326(f20(x45912,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45912),a329),f326(f326(f9(x45912,f925(x45912,a913),a913),f328(x45912)),x45913)))),x45914))),f326(f326(f39(x45912,f925(x45911,a913)),x45913),f326(f326(f10(f925(x45911,a913),f925(x45911,a913),x45912),f261(x45911)),f326(f9(x45911,x45912,a913),x45914))))
% 225.11/225.10 [4636]E(f326(f326(f154(f924(x46361,a917),x46361),f250(x46361,a917)),f326(f136(f924(x46361,a917),f326(f326(f9(f924(x46361,a917),f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),f924(x46361,a917)),f328(a917)),f255(x46361,a917))),x46362)),f326(f326(f181(x46361,a917),x46363),f139(a917,f326(f301(a917,x46364),f326(f326(f79(a917),x46364),f326(f189(f918(x46361)),x46363))))))),f326(f326(f154(f924(x46361,a917),x46361),f250(x46361,a917)),f326(f136(f924(x46361,a917),f326(f326(f9(f924(x46361,a917),f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),f924(x46361,a917)),f328(a917)),f326(f326(f9(f924(x46361,a917),a917,a917),f326(f326(f10(a917,f925(a917,a917),f924(x46361,a917)),f79(a917)),f255(x46361,a917))),x46364))),x46362)),f326(f326(f181(x46361,a917),x46363),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(x46361)),x46363)))))))
% 225.11/225.10 [4637]E(f326(a112,f326(f326(f233(a917),f326(f189(f918(x46371)),x46372)),f326(f142(a917,f918(x46373),f326(f9(f918(x46373),a917,a917),f326(f326(f10(a917,f925(a917,a917),f918(x46373)),f233(a917)),f326(f326(f9(f918(x46373),a917,a917),f326(f326(f10(a917,f925(a917,a917),f918(x46373)),f3(a917)),f189(f918(x46373)))),f326(a112,f2(a917))))),f2(a917)),f326(f168(f918(x46373)),f326(f136(f918(x46373),f326(f326(f10(a913,a913,f918(x46373)),a321),f326(f326(f9(f918(x46373),f918(x46373),a913),a323),f113(x46373)))),x46374))))),f326(f326(f233(a917),f326(a112,f326(f189(f918(x46371)),x46372))),f326(f142(a917,f918(x46373),f326(f9(f918(x46373),a917,a917),f326(f326(f10(a917,f925(a917,a917),f918(x46373)),f233(a917)),f189(f918(x46373)))),f2(a917)),f326(f168(f918(x46373)),x46374))))
% 225.11/225.10 [4590]E(f326(f326(f134(x45901),f176(x45901,x45902,x45903)),f176(x45901,x45904,f326(f261(a917),f326(f326(f9(a917,f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),a917),f328(a917)),f326(f326(f9(a917,a917,a917),f79(a917)),f326(f189(f918(x45901)),x45902)))),x45903)))),f176(x45901,f326(f326(f134(x45901),x45902),x45904),x45903))
% 225.11/225.10 [4638]E(f36(f925(x46381,a913),f326(f261(f925(x46381,a913)),f326(f326(f10(f925(x46382,a913),a913,f925(x46381,a913)),f86(x46382)),f326(f326(f10(f925(x46382,a913),f925(x46382,a913),f925(x46381,a913)),f326(f20(x46382,a913,a913),f326(f326(f10(a913,f925(a913,a913),x46382),a324),f326(f326(f9(x46382,f925(x46382,a913),a913),f328(x46382)),x46383)))),f326(f326(f9(f925(x46381,a913),f925(x46382,f925(x46381,a913)),f925(x46382,a913)),f326(f326(f10(f925(f925(x46381,a913),a913),f925(f925(x46382,f925(x46381,a913)),f925(x46382,a913)),f925(x46381,a913)),f10(f925(x46381,a913),a913,x46382)),a323)),x46384))))),f326(f326(f38(x46382,f925(x46381,a913)),x46383),x46384))
% 225.11/225.10 [4639]E(f37(f925(x46391,a913),f326(f261(f925(x46391,a913)),f326(f326(f10(f925(x46392,a913),a913,f925(x46391,a913)),f86(x46392)),f326(f326(f10(f925(x46392,a913),f925(x46392,a913),f925(x46391,a913)),f326(f20(x46392,a913,a913),f326(f326(f10(a913,f925(a913,a913),x46392),a324),f326(f326(f9(x46392,f925(x46392,a913),a913),f328(x46392)),x46393)))),f326(f326(f9(f925(x46391,a913),f925(x46392,f925(x46391,a913)),f925(x46392,a913)),f326(f326(f10(f925(f925(x46391,a913),a913),f925(f925(x46392,f925(x46391,a913)),f925(x46392,a913)),f925(x46391,a913)),f10(f925(x46391,a913),a913,x46392)),a323)),x46394))))),f326(f326(f39(x46392,f925(x46391,a913)),x46393),x46394))
% 225.11/225.10 [4647]E(f326(f326(f151(f918(x46471)),f326(f326(f151(x46471),x46472),f326(f142(f918(x46471),f918(x46471),f134(x46471),f113(x46471)),f326(f326(f154(f918(x46471),f918(x46471)),f156(f918(x46471),x46471,f113(x46471),f326(f326(f10(f918(x46471),f925(f918(x46471),f918(x46471)),x46471),f18(f918(x46471),f918(x46471))),f326(f326(f9(x46471,f918(x46471),f918(x46471)),f151(x46471)),f113(x46471))))),x46473)))),f179(x46471,f326(f326(f151(f918(x46471)),x46474),f326(f142(f918(f918(x46471)),f918(f918(x46471)),f134(f918(x46471)),f113(f918(x46471))),f326(f326(f154(f918(x46471),f918(f918(x46471))),f156(f918(f918(x46471)),x46471,f113(f918(x46471)),f326(f18(f925(f918(x46471),f918(f918(x46471))),x46471),f326(f326(f9(f918(x46471),f918(f918(x46471)),f918(f918(x46471))),f151(f918(x46471))),f113(f918(x46471)))))),x46473))))),f179(x46471,f326(f326(f151(f918(x46471)),f326(f326(f151(x46471),x46472),x46474)),x46473)))
% 225.11/225.10 [4654]E(f326(f261(f924(x46541,x46541)),f326(f256(x46541,x46541,a913),f326(f326(f9(x46541,f925(f924(x46542,x46542),a913),f925(x46541,a913)),f326(f326(f10(f925(x46541,f925(f925(f924(x46542,x46542),a913),a913)),f925(f925(f924(x46542,x46542),a913),f925(x46541,a913)),x46541),f9(x46541,f925(f924(x46542,x46542),a913),a913)),f326(f326(f10(f925(x46541,f924(x46542,x46542)),f925(x46541,f925(f925(f924(x46542,x46542),a913),a913)),x46541),f326(f10(f924(x46542,x46542),f925(f925(f924(x46542,x46542),a913),a913),x46541),f328(f924(x46542,x46542)))),f326(f326(f9(x46541,f925(x46541,x46542),f925(x46541,f924(x46542,x46542))),f326(f326(f10(f925(x46542,f924(x46542,x46542)),f925(f925(x46541,x46542),f925(x46541,f924(x46542,x46542))),x46541),f10(x46542,f924(x46542,x46542),x46541)),f326(f326(f10(x46542,f925(x46542,f924(x46542,x46542)),x46541),f251(x46542,x46542)),x46543))),x46543)))),x46544))),f326(f326(f287(x46542,x46541),x46544),x46543))
% 225.11/225.10 [4700]~E(f30(x47001,x47002),f27(x47003,x47004,x47005))
% 225.11/225.10 [4701]~E(f30(x47011,x47012),f26(x47013,x47014,x47015))
% 225.11/225.10 [4702]~E(f29(x47021,x47022),f27(x47023,x47024,x47025))
% 225.11/225.10 [4703]~E(f29(x47031,x47032),f26(x47033,x47034,x47035))
% 225.11/225.10 [4704]~E(f27(x47041,x47042,x47043),f30(x47044,x47045))
% 225.11/225.10 [4705]~E(f27(x47051,x47052,x47053),f29(x47054,x47055))
% 225.11/225.10 [4706]~E(f26(x47061,x47062,x47063),f30(x47064,x47065))
% 225.11/225.10 [4707]~E(f26(x47071,x47072,x47073),f29(x47074,x47075))
% 225.11/225.10 [3785]E(f326(f326(f154(x37851,x37852),x37853),f169(x37851,x37854,x37855)),f169(x37852,x37854,f326(x37853,x37855)))
% 225.11/225.10 [3999]E(f93(x39991,x39992,f91(x39991,x39993,x39994,x39995)),f2(a917))
% 225.11/225.10 [4123]E(f130(x41231,x41232,x41233,f126(x41231,x41234,x41235)),f126(x41232,f326(x41233,x41234),f130(x41231,x41232,x41233,x41235)))
% 225.11/225.10 [4355]E(f326(f74(x43551,x43552,x43553,x43554,x43555),x43554),x43555)
% 225.11/225.10 [4407]E(f252(x44071,x44072,x44073,f242(x44072,x44071,x44074),f242(x44073,x44072,x44075)),f242(x44073,x44071,f252(x44073,x44072,x44071,x44075,x44074)))
% 225.11/225.10 [3978]E(f326(f326(f256(x39781,x39782,x39783),x39784),x39785),f326(f326(x39784,f326(f250(x39781,x39782),x39785)),f326(f255(x39781,x39782),x39785)))
% 225.11/225.10 [4014]E(f326(f326(f326(f64(x40141,x40142,x40143),x40144),x40145),f188(f925(x40142,a913))),x40145)
% 225.11/225.10 [4293]E(f326(f72(f918(x42931),f918(x42932),f918(x42933),f326(f154(x42931,x42932),x42934)),f326(f154(x42933,x42931),x42935)),f326(f154(x42933,x42932),f326(f72(x42931,x42932,x42933,x42934),x42935)))
% 225.11/225.10 [4369]E(f84(x43691,f65(x43692,x43691,x43693,x43694,x43695)),f326(f326(f63(x43692,x43691,x43693),x43694),x43695))
% 225.11/225.10 [4403]E(f326(f326(f79(a917),f326(f326(f79(a917),f326(x44031,f326(f250(x44032,x44033),x44034))),f326(x44035,f326(f255(x44032,x44033),x44034)))),f326(a112,f2(a917))),f260(x44032,x44033,x44031,x44035,x44034))
% 225.11/225.10 [3914]E(f326(f326(f175(x39141),x39142),f326(f326(f154(x39143,x39141),x39144),x39145)),f326(f326(f154(x39143,x39141),x39144),f326(f326(f175(x39143),x39142),x39145)))
% 225.11/225.10 [3915]E(f326(f326(f138(x39151),x39152),f326(f326(f154(x39153,x39151),x39154),x39155)),f326(f326(f154(x39153,x39151),x39154),f326(f326(f138(x39153),x39152),x39155)))
% 225.11/225.10 [3947]E(f326(f326(f154(x39471,x39472),x39473),f326(f326(f151(x39471),x39474),x39475)),f326(f326(f151(x39472),f326(x39473,x39474)),f326(f326(f154(x39471,x39472),x39473),x39475)))
% 225.11/225.10 [4010]E(f326(f309(x40101,x40102,x40103),f326(f326(f308(x40101),x40104),x40105)),f326(f326(f308(x40102),f326(x40103,x40104)),f326(f309(x40101,x40102,x40103),x40105)))
% 225.11/225.10 [4038]E(f173(x40381,f326(f326(f151(x40381),x40382),x40383),f326(f326(f151(x40381),x40384),x40385)),f326(f326(f151(x40381),x40382),f326(f326(f151(x40381),x40384),f173(x40381,x40383,x40385))))
% 225.11/225.10 [4075]E(f326(f326(f181(x40751,x40752),f326(f326(f175(x40751),x40753),x40754)),f326(f326(f175(x40752),x40753),x40755)),f326(f326(f175(f924(x40751,x40752)),x40753),f326(f326(f181(x40751,x40752),x40754),x40755)))
% 225.11/225.10 [4076]E(f326(f326(f181(x40761,x40762),f326(f326(f138(x40761),x40763),x40764)),f326(f326(f138(x40762),x40763),x40765)),f326(f326(f138(f924(x40761,x40762)),x40763),f326(f326(f181(x40761,x40762),x40764),x40765)))
% 225.11/225.10 [4086]E(f326(f326(f159(x40861,f326(f326(f151(x40861),x40862),x40863)),f326(a112,x40864)),x40865),f326(f326(f151(x40861),x40862),f326(f326(f159(x40861,x40863),x40864),x40865)))
% 225.11/225.10 [4089]E(f326(f326(f134(x40891),f326(f326(f154(x40892,x40891),x40893),x40894)),f326(f326(f154(x40892,x40891),x40893),x40895)),f326(f326(f154(x40892,x40891),x40893),f326(f326(f134(x40892),x40894),x40895)))
% 225.11/225.10 [4093]E(f326(f326(x40931,x40932),f326(f326(f244(x40933,x40934,x40931),x40932),x40935)),f326(f326(f244(x40933,x40934,x40931),x40932),f326(a112,x40935)))
% 225.11/225.10 [4127]E(f163(x41271,x41272,x41273,f326(f326(f151(x41271),x41274),x41275)),f326(f326(f134(x41272),f326(x41273,x41274)),f163(x41271,x41272,x41273,x41275)))
% 225.11/225.10 [4139]E(f326(f326(f288(x41391,x41392,x41393),f326(f285(x41392,x41391),x41394)),f326(f285(x41393,x41392),x41395)),f326(f285(x41393,x41391),f326(f326(f288(x41393,x41392,x41391),x41395),x41394)))
% 225.11/225.10 [4171]E(f326(f326(f326(f183(f918(x41711),f918(x41711)),x41712),f167(x41711)),f326(f326(f154(x41713,x41711),x41714),x41715)),f326(f326(f154(x41713,x41711),x41714),f326(f326(f326(f183(f918(x41713),f918(x41713)),x41712),f167(x41713)),x41715)))
% 225.11/225.10 [4172]E(f326(f326(f258(x41721,x41722,x41721,x41723),f326(f251(x41722,x41721),x41724)),x41725),f326(x41725,x41724))
% 225.11/225.10 [4195]E(f155(x41951,x41952,f326(f326(f154(x41953,x41951),x41954),x41955)),f155(x41953,f326(f72(x41951,a917,x41953,x41952),x41954),x41955))
% 225.11/225.10 [4258]E(f177(f924(x42581,x42582),f326(f72(x42582,a913,f924(x42581,x42582),x42583),f255(x42581,x42582)),f326(f326(f181(x42581,x42582),x42584),x42585)),f326(f326(f181(x42581,x42582),x42584),f177(x42582,x42583,x42585)))
% 225.11/225.10 [4263]E(f326(f309(x42631,x42632,f326(f326(f10(x42633,x42632,x42631),x42634),x42635)),f241(f925(x42631,a913))),f326(f309(x42633,x42632,x42634),f326(f309(x42631,x42633,x42635),f241(f925(x42631,a913)))))
% 225.11/225.10 [4276]E(f177(f924(x42761,x42762),f326(f72(x42761,a913,f924(x42761,x42762),x42763),f250(x42761,x42762)),f326(f326(f181(x42761,x42762),x42764),x42765)),f326(f326(f181(x42761,x42762),f177(x42761,x42763,x42764)),x42765))
% 225.11/225.10 [4297]E(f326(f326(f101(f925(x42971,a913)),f326(f310(x42971,x42972,x42973),f326(f326(f308(x42972),x42974),f188(f925(x42972,a913))))),f326(f310(x42971,x42972,x42973),x42975)),f326(f310(x42971,x42972,x42973),f326(f326(f308(x42972),x42974),x42975)))
% 225.11/225.10 [4354]E(f326(f326(f134(f924(x43541,x43542)),f326(f326(f154(x43542,f924(x43541,x43542)),f326(f251(x43541,x43542),x43543)),x43544)),f58(x43541,x43542,x43545,x43544)),f58(x43541,x43542,f326(f326(f151(x43541),x43543),x43545),x43544))
% 225.11/225.10 [4356]E(f326(f326(f154(x43561,x43562),x43563),f177(x43561,f326(f72(x43562,a913,x43561,x43564),x43563),x43565)),f177(x43562,x43564,f326(f326(f154(x43561,x43562),x43563),x43565)))
% 225.11/225.10 [4361]E(f326(f142(x43611,x43612,f326(f9(x43612,x43611,x43611),f326(f9(x43611,x43612,x43611),x43613)),x43614),f326(f168(x43612),f326(f168(x43612),x43615))),f326(f142(x43611,x43612,x43613,x43614),x43615))
% 225.11/225.10 [4464]P105(f326(f326(f234(f925(x44641,a913)),f326(f309(x44642,x44641,x44643),f326(f326(f102(f925(x44642,a913)),x44644),x44645))),f326(f326(f102(f925(x44641,a913)),f326(f309(x44642,x44641,x44643),x44644)),f326(f309(x44642,x44641,x44643),x44645))))
% 225.11/225.10 [4465]P105(f326(f326(f234(f925(x44651,a913)),f326(f284(x44652,x44651,x44653),f326(f326(f102(f925(x44652,a913)),x44654),x44655))),f326(f326(f102(f925(x44651,a913)),f326(f284(x44652,x44651,x44653),x44654)),f326(f284(x44652,x44651,x44653),x44655))))
% 225.11/225.10 [4564]E(f326(f255(x45641,x45642),f326(f257(x45643,x45641,x45642,x45642,x45644,f31(x45642)),x45645)),f326(f255(x45643,x45642),x45645))
% 225.11/225.10 [4565]E(f326(f250(x45651,x45652),f326(f257(x45651,x45651,x45653,x45652,f31(x45651),x45654),x45655)),f326(f250(x45651,x45653),x45655))
% 225.11/225.10 [4641]P24(x46411,x46412,f326(f326(f308(f916(x46411)),f91(x46411,f326(f326(f9(x46411,f925(a915,a913),f925(a915,a913)),f326(f326(f10(f925(a915,f925(a913,a913)),f925(f925(a915,a913),f925(a915,a913)),x46411),f20(a915,a913,a913)),f326(f326(f10(f925(a915,a913),f925(a915,f925(a913,a913)),x46411),f326(f10(a913,f925(a913,a913),a915),a324)),x46413))),f326(f326(f10(a913,a913,a915),a321),x46414)),f29(x46414,x46415),x46413)),f188(f925(f916(x46411),a913))))
% 225.11/225.10 [3756]E(f326(f326(f326(f326(f204(x37561),x37562),x37563),x37564),x37565),f192(x37561,x37562))
% 225.11/225.10 [3757]E(f326(f326(f326(f326(f208(x37571),x37572),x37573),x37574),x37575),f199(x37571,x37572))
% 225.11/225.10 [4128]E(f326(f326(f38(x41281,f925(x41282,a913)),f326(f326(f308(x41281),x41283),x41284)),x41285),f326(f326(f101(f925(x41282,a913)),f326(x41285,x41283)),f326(f326(f38(x41281,f925(x41282,a913)),x41284),x41285)))
% 225.11/225.10 [4129]E(f326(f326(f39(x41291,f925(x41292,a913)),f326(f326(f308(x41291),x41293),x41294)),x41295),f326(f326(f102(f925(x41292,a913)),f326(x41295,x41293)),f326(f326(f39(x41291,f925(x41292,a913)),x41294),x41295)))
% 225.11/225.10 [4179]E(f326(f118(x41791,x41792,f326(x41793,x41794)),f326(f326(f9(x41791,a99,f919(x41792)),x41795),x41794)),f326(f197(x41791,x41792,x41793,x41795),x41794))
% 225.11/225.10 [4189]E(f326(f326(f101(f925(x41891,a913)),f326(f309(x41892,x41891,x41893),x41894)),f326(f309(x41892,x41891,x41893),x41895)),f326(f309(x41892,x41891,x41893),f326(f326(f101(f925(x41892,a913)),x41894),x41895)))
% 225.11/225.10 [4190]E(f326(f326(f101(f925(x41901,a913)),f326(f284(x41902,x41901,x41903),x41904)),f326(f284(x41902,x41901,x41903),x41905)),f326(f284(x41902,x41901,x41903),f326(f326(f101(f925(x41902,a913)),x41904),x41905)))
% 225.11/225.10 [4191]E(f326(f326(f3(f925(x41911,a913)),f326(f310(x41911,x41912,x41913),x41914)),f326(f310(x41911,x41912,x41913),x41915)),f326(f310(x41911,x41912,x41913),f326(f326(f3(f925(x41912,a913)),x41914),x41915)))
% 225.11/225.10 [4192]E(f326(f326(f101(f925(x41921,a913)),f326(f310(x41921,x41922,x41923),x41924)),f326(f310(x41921,x41922,x41923),x41925)),f326(f310(x41921,x41922,x41923),f326(f326(f101(f925(x41922,a913)),x41924),x41925)))
% 225.11/225.10 [4193]E(f326(f326(f102(f925(x41931,a913)),f326(f310(x41931,x41932,x41933),x41934)),f326(f310(x41931,x41932,x41933),x41935)),f326(f310(x41931,x41932,x41933),f326(f326(f102(f925(x41932,a913)),x41934),x41935)))
% 225.11/225.10 [4254]E(f326(f326(f159(x42541,f326(f326(f134(x42541),x42542),f326(f326(f151(x42541),x42543),x42544))),f326(f189(f918(x42541)),x42542)),x42545),f326(f326(f134(x42541),x42542),f326(f326(f151(x42541),x42545),x42544)))
% 225.11/225.10 [4261]E(f326(f326(f39(x42611,f925(x42612,a913)),x42613),f326(f326(f10(f925(x42612,a913),f925(x42612,a913),x42611),f326(f308(x42612),x42614)),x42615)),f326(f326(f308(x42612),x42614),f326(f326(f39(x42611,f925(x42612,a913)),x42613),x42615)))
% 225.11/225.10 [4416]E(f326(f326(f154(x44161,x44162),x44163),f326(f136(x44161,f326(f72(x44162,a913,x44161,x44164),x44163)),x44165)),f326(f136(x44162,x44164),f326(f326(f154(x44161,x44162),x44163),x44165)))
% 225.11/225.10 [4422]E(f326(f189(f918(x44221)),f326(f136(x44221,x44222),f326(f326(f154(x44223,x44221),x44224),x44225))),f326(f189(f918(x44223)),f326(f136(x44223,f326(f72(x44221,a913,x44223,x44222),x44224)),x44225)))
% 225.11/225.10 [4629]E(f326(f156(f918(f924(x46291,x46292)),x46292,f113(f924(x46291,x46292)),f326(f326(f9(x46292,f925(f918(x46292),f918(f924(x46291,x46292))),f925(f918(x46292),f918(f924(x46291,x46292)))),f326(f326(f10(f925(f918(f924(x46291,x46292)),f918(f924(x46291,x46292))),f925(f925(f918(x46292),f918(f924(x46291,x46292))),f925(f918(x46292),f918(f924(x46291,x46292)))),x46292),f10(f918(f924(x46291,x46292)),f918(f924(x46291,x46292)),f918(x46292))),f326(f326(f10(f924(x46291,x46292),f925(f918(f924(x46291,x46292)),f918(f924(x46291,x46292))),x46292),f151(f924(x46291,x46292))),f326(f251(x46291,x46292),x46293)))),f326(f181(x46291,x46292),x46294))),x46295),f326(f326(f181(x46291,x46292),f326(f326(f151(x46291),x46293),x46294)),x46295))
% 225.11/225.10 [4120]E(f326(f326(f159(x41201,f326(f326(f159(x41201,x41202),x41203),x41204)),x41203),x41205),f326(f326(f159(x41201,x41202),x41203),x41205))
% 225.11/225.10 [4173]E(f326(f283(x41731,x41732),f326(f326(f308(f924(x41731,x41732)),f326(f326(f251(x41731,x41732),x41733),x41734)),x41735)),f326(f326(f308(x41732),x41734),f326(f283(x41731,x41732),x41735)))
% 225.11/225.10 [4174]E(f326(f263(x41741,x41742),f326(f326(f308(f924(x41741,x41742)),f326(f326(f251(x41741,x41742),x41743),x41744)),x41745)),f326(f326(f308(x41741),x41743),f326(f263(x41741,x41742),x41745)))
% 225.11/225.10 [4219]E(f122(x42191,x42192,f326(x42193,x42194),f326(f326(f9(x42191,a99,f919(f921(x42192))),x42195),x42194)),f326(f195(x42191,x42192,x42193,x42195),x42194))
% 225.11/225.10 [4247]E(f326(f326(f3(f925(f924(x42471,x42472),a913)),f326(f326(f253(x42471,x42472),x42473),x42474)),f326(f326(f253(x42471,x42472),x42475),x42474)),f326(f326(f253(x42471,x42472),f326(f326(f3(f925(x42471,a913)),x42473),x42475)),x42474))
% 225.11/225.10 [4248]E(f326(f326(f101(f925(f924(x42481,x42482),a913)),f326(f326(f253(x42481,x42482),x42483),x42484)),f326(f326(f253(x42481,x42482),x42485),x42484)),f326(f326(f253(x42481,x42482),f326(f326(f101(f925(x42481,a913)),x42483),x42485)),x42484))
% 225.11/225.10 [4249]E(f326(f326(f102(f925(f924(x42491,x42492),a913)),f326(f326(f253(x42491,x42492),x42493),x42494)),f326(f326(f253(x42491,x42492),x42495),x42494)),f326(f326(f253(x42491,x42492),f326(f326(f102(f925(x42491,a913)),x42493),x42495)),x42494))
% 225.11/225.10 [4308]E(f326(f326(f101(f925(x43081,a913)),f326(f326(f38(x43082,f925(x43081,a913)),x43083),x43084)),f326(f326(f38(x43082,f925(x43081,a913)),x43085),x43084)),f326(f326(f38(x43082,f925(x43081,a913)),f326(f326(f101(f925(x43082,a913)),x43083),x43085)),x43084))
% 225.11/225.10 [4309]E(f326(f326(f102(f925(x43091,a913)),f326(f326(f39(x43092,f925(x43091,a913)),x43093),x43094)),f326(f326(f39(x43092,f925(x43091,a913)),x43095),x43094)),f326(f326(f39(x43092,f925(x43091,a913)),f326(f326(f101(f925(x43092,a913)),x43093),x43095)),x43094))
% 225.11/225.10 [4323]E(f326(f326(f38(x43231,f925(x43232,a913)),x43233),f326(f326(f10(f925(x43232,a913),f925(x43232,a913),x43231),f326(f3(f925(x43232,a913)),x43234)),x43235)),f326(f326(f3(f925(x43232,a913)),x43234),f326(f326(f39(x43231,f925(x43232,a913)),x43233),x43235)))
% 225.11/225.10 [4324]E(f326(f326(f38(x43241,f925(x43242,a913)),x43243),f326(f326(f10(f925(x43242,a913),f925(x43242,a913),x43241),f326(f102(f925(x43242,a913)),x43244)),x43245)),f326(f326(f102(f925(x43242,a913)),x43244),f326(f326(f38(x43241,f925(x43242,a913)),x43243),x43245)))
% 225.11/225.10 [4325]E(f326(f326(f39(x43251,f925(x43252,a913)),x43253),f326(f326(f10(f925(x43252,a913),f925(x43252,a913),x43251),f326(f101(f925(x43252,a913)),x43254)),x43255)),f326(f326(f101(f925(x43252,a913)),x43254),f326(f326(f39(x43251,f925(x43252,a913)),x43253),x43255)))
% 225.11/225.10 [4381]E(f185(f918(x43811),f326(f326(f151(x43811),x43812),x43813),f326(f326(f10(f918(x43811),f918(x43811),a917),f326(f151(x43811),x43814)),f326(f326(f9(a917,x43811,f918(x43811)),f159(x43811,x43813)),x43812)),x43815),f326(f326(f159(x43811,f326(f326(f151(x43811),x43814),x43813)),x43815),x43812))
% 225.11/225.10 [4385]E(f326(f326(f38(x43851,f925(f924(x43852,x43853),a913)),x43854),f326(f326(f10(f925(f924(x43853,x43852),a913),f925(f924(x43852,x43853),a913),x43851),f285(x43853,x43852)),x43855)),f326(f285(x43853,x43852),f326(f326(f38(x43851,f925(f924(x43853,x43852),a913)),x43854),x43855)))
% 225.11/225.10 [4386]E(f326(f326(f39(x43861,f925(f924(x43862,x43863),a913)),x43864),f326(f326(f10(f925(f924(x43863,x43862),a913),f925(f924(x43862,x43863),a913),x43861),f285(x43863,x43862)),x43865)),f326(f285(x43863,x43862),f326(f326(f39(x43861,f925(f924(x43863,x43862),a913)),x43864),x43865)))
% 225.11/225.10 [4487]P105(f326(f326(f234(f925(x44871,a913)),f326(f326(f3(f925(x44871,a913)),f326(f309(x44872,x44871,x44873),x44874)),f326(f309(x44872,x44871,x44873),x44875))),f326(f309(x44872,x44871,x44873),f326(f326(f3(f925(x44872,a913)),x44874),x44875))))
% 225.11/225.10 [4632]E(f326(f156(f918(f924(x46321,x46322)),x46321,f113(f924(x46321,x46322)),f326(f326(f9(x46321,f925(f918(x46321),f918(f924(x46321,x46322))),f925(f918(x46321),f918(f924(x46321,x46322)))),f326(f326(f10(f925(f918(f924(x46321,x46322)),f918(f924(x46321,x46322))),f925(f925(f918(x46321),f918(f924(x46321,x46322))),f925(f918(x46321),f918(f924(x46321,x46322)))),x46321),f10(f918(f924(x46321,x46322)),f918(f924(x46321,x46322)),f918(x46321))),f326(f326(f10(f924(x46321,x46322),f925(f918(f924(x46321,x46322)),f918(f924(x46321,x46322))),x46321),f151(f924(x46321,x46322))),f326(f326(f9(x46321,x46322,f924(x46321,x46322)),f251(x46321,x46322)),x46323)))),f326(f326(f9(f918(x46321),f918(x46322),f918(f924(x46321,x46322))),f181(x46321,x46322)),x46324))),x46325),f326(f326(f181(x46321,x46322),x46325),f326(f326(f151(x46322),x46323),x46324)))
% 225.11/225.10 [4350]E(f326(f326(f101(f925(x43501,a913)),f326(f284(x43502,x43501,x43503),x43504)),f326(f284(x43502,x43501,x43505),x43504)),f326(f284(x43502,x43501,f326(f326(f101(f925(f924(x43502,x43501),a913)),x43503),x43505)),x43504))
% 225.11/225.10 [4387]E(f326(f326(f134(f924(x43871,x43872)),f326(f326(f181(x43871,x43872),x43873),f326(f326(f175(x43872),f326(f189(f918(x43871)),x43873)),x43874))),f326(f326(f181(x43871,x43872),x43875),f326(f326(f138(x43872),f326(f189(f918(x43871)),x43873)),x43874))),f326(f326(f181(x43871,x43872),f326(f326(f134(x43871),x43873),x43875)),x43874))
% 225.11/225.10 [4490]E(f326(f326(f253(x44901,x44902),x44903),f326(f326(f20(x44901,f925(x44902,a913),f925(x44902,a913)),f326(f326(f10(f925(x44902,a913),f925(f925(x44902,a913),f925(x44902,a913)),x44901),f3(f925(x44902,a913))),x44904)),x44905)),f326(f326(f3(f925(f924(x44901,x44902),a913)),f326(f326(f253(x44901,x44902),x44903),x44904)),f326(f326(f253(x44901,x44902),x44903),x44905)))
% 225.11/225.10 [4491]E(f326(f326(f253(x44911,x44912),x44913),f326(f326(f20(x44911,f925(x44912,a913),f925(x44912,a913)),f326(f326(f10(f925(x44912,a913),f925(f925(x44912,a913),f925(x44912,a913)),x44911),f101(f925(x44912,a913))),x44914)),x44915)),f326(f326(f101(f925(f924(x44911,x44912),a913)),f326(f326(f253(x44911,x44912),x44913),x44914)),f326(f326(f253(x44911,x44912),x44913),x44915)))
% 225.11/225.10 [4492]E(f326(f326(f253(x44921,x44922),x44923),f326(f326(f20(x44921,f925(x44922,a913),f925(x44922,a913)),f326(f326(f10(f925(x44922,a913),f925(f925(x44922,a913),f925(x44922,a913)),x44921),f102(f925(x44922,a913))),x44924)),x44925)),f326(f326(f102(f925(f924(x44921,x44922),a913)),f326(f326(f253(x44921,x44922),x44923),x44924)),f326(f326(f253(x44921,x44922),x44923),x44925)))
% 225.11/225.10 [4496]E(f326(f326(f38(x44961,f925(x44962,a913)),x44963),f326(f326(f9(x44961,f925(x44962,a913),f925(x44962,a913)),f326(f326(f10(f925(x44962,a913),f925(f925(x44962,a913),f925(x44962,a913)),x44961),f3(f925(x44962,a913))),x44964)),x44965)),f326(f326(f3(f925(x44962,a913)),f326(f326(f38(x44961,f925(x44962,a913)),x44963),x44964)),x44965))
% 225.11/225.10 [4497]E(f326(f326(f38(x44971,f925(x44972,a913)),x44973),f326(f326(f9(x44971,f925(x44972,a913),f925(x44972,a913)),f326(f326(f10(f925(x44972,a913),f925(f925(x44972,a913),f925(x44972,a913)),x44971),f102(f925(x44972,a913))),x44974)),x44975)),f326(f326(f102(f925(x44972,a913)),f326(f326(f38(x44971,f925(x44972,a913)),x44973),x44974)),x44975))
% 225.11/225.10 [4498]E(f326(f326(f39(x44981,f925(x44982,a913)),x44983),f326(f326(f9(x44981,f925(x44982,a913),f925(x44982,a913)),f326(f326(f10(f925(x44982,a913),f925(f925(x44982,a913),f925(x44982,a913)),x44981),f101(f925(x44982,a913))),x44984)),x44985)),f326(f326(f101(f925(x44982,a913)),f326(f326(f39(x44981,f925(x44982,a913)),x44983),x44984)),x44985))
% 225.11/225.10 [4502]E(f326(f326(f38(x45021,f925(x45022,a913)),x45023),f326(f326(f20(x45021,f925(x45022,a913),f925(x45022,a913)),f326(f326(f10(f925(x45022,a913),f925(f925(x45022,a913),f925(x45022,a913)),x45021),f101(f925(x45022,a913))),x45024)),x45025)),f326(f326(f101(f925(x45022,a913)),f326(f326(f38(x45021,f925(x45022,a913)),x45023),x45024)),f326(f326(f38(x45021,f925(x45022,a913)),x45023),x45025)))
% 225.11/225.10 [4503]E(f326(f326(f39(x45031,f925(x45032,a913)),x45033),f326(f326(f20(x45031,f925(x45032,a913),f925(x45032,a913)),f326(f326(f10(f925(x45032,a913),f925(f925(x45032,a913),f925(x45032,a913)),x45031),f102(f925(x45032,a913))),x45034)),x45035)),f326(f326(f102(f925(x45032,a913)),f326(f326(f39(x45031,f925(x45032,a913)),x45033),x45034)),f326(f326(f39(x45031,f925(x45032,a913)),x45033),x45035)))
% 225.11/225.10 [4516]E(f326(f326(f38(x45161,f925(x45162,a913)),x45163),f326(f326(f20(x45161,f925(x45162,a913),f925(x45162,a913)),f326(f326(f10(f925(x45162,a913),f925(f925(x45162,a913),f925(x45162,a913)),x45161),f101(f925(x45162,a913))),x45164)),x45165)),f326(f326(f101(f925(x45162,a913)),f36(f925(x45162,a913),f326(f309(x45161,f925(x45162,a913),x45164),x45163))),f36(f925(x45162,a913),f326(f309(x45161,f925(x45162,a913),x45165),x45163))))
% 225.11/225.10 [4517]E(f326(f326(f39(x45171,f925(x45172,a913)),x45173),f326(f326(f20(x45171,f925(x45172,a913),f925(x45172,a913)),f326(f326(f10(f925(x45172,a913),f925(f925(x45172,a913),f925(x45172,a913)),x45171),f102(f925(x45172,a913))),x45174)),x45175)),f326(f326(f102(f925(x45172,a913)),f37(f925(x45172,a913),f326(f309(x45171,f925(x45172,a913),x45174),x45173))),f37(f925(x45172,a913),f326(f309(x45171,f925(x45172,a913),x45175),x45173))))
% 225.11/225.10 [4553]E(f326(f326(f138(x45531),f326(f189(f918(x45531)),f177(x45531,x45532,f326(f326(f154(x45533,x45531),x45534),x45535)))),f326(f326(f154(x45533,x45531),x45534),x45535)),f326(f326(f154(x45533,x45531),x45534),f326(f326(f138(x45533),f326(f189(f918(x45533)),f177(x45533,f326(f72(x45531,a913,x45533,x45532),x45534),x45535))),x45535)))
% 225.11/225.10 [4429]E(f326(f326(f134(f924(x44291,x44292)),f326(f326(f181(x44291,x44292),f326(f326(f175(x44291),f326(f189(f918(x44292)),x44293)),x44294)),x44293)),f326(f326(f181(x44291,x44292),f326(f326(f138(x44291),f326(f189(f918(x44292)),x44293)),x44294)),x44295)),f326(f326(f181(x44291,x44292),x44294),f326(f326(f134(x44292),x44293),x44295)))
% 225.11/225.10 [4544]E(f84(x45441,f326(f326(f20(x45441,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45441),a324),f326(f326(f9(x45441,f925(x45441,a913),a913),f328(x45441)),x45442))),f326(f326(f9(x45441,x45443,a913),f326(f326(f10(x45443,f925(x45443,a913),x45441),a323),x45444)),x45445))),f326(f76(x45441,x45443,x45442,x45444),x45445))
% 225.11/225.10 [4545]E(f89(x45451,f326(f326(f20(x45451,a913,a913),f326(f326(f10(a913,f925(a913,a913),x45451),a324),f326(f326(f9(x45451,f925(x45451,a913),a913),f328(x45451)),x45452))),f326(f326(f9(x45451,x45453,a913),f326(f326(f10(x45453,f925(x45453,a913),x45451),a323),x45454)),x45455))),f326(f90(x45451,x45453,x45452,x45454),x45455))
% 225.11/225.10 [4593]E(f326(f326(f85(a1,x45931),f326(f104(a1),f326(f326(f79(a1),x45932),a97))),f326(f326(f20(a1,x45931,x45931),f326(f326(f9(a1,x45931,f925(x45931,x45931)),f326(f326(f10(a913,f925(x45931,f925(x45931,x45931)),a1),f96(x45931)),a193)),f185(x45931,x45933,x45934,x45935))),f326(f326(f10(a917,x45931,a1),x45934),f326(f326(f9(a1,a917,a917),f326(f326(f10(a917,f925(a917,a917),a1),f79(a917)),a105)),x45935)))),f185(x45931,x45933,x45934,f326(f326(f79(a917),f326(f104(a917),x45932)),x45935)))
% 225.11/225.10 [4628]E(f326(f326(f85(a1,x46281),f326(f104(a1),f326(f326(f79(a1),x46282),a97))),f326(f326(f20(a1,x46281,x46281),f326(f326(f9(a1,x46281,f925(x46281,x46281)),f326(f326(f10(a913,f925(x46281,f925(x46281,x46281)),a1),f96(x46281)),a193)),f326(f184(x46281,x46283,x46284),x46285))),f326(f326(f20(a1,x46281,x46281),f326(f326(f10(a917,f925(x46281,x46281),a1),x46284),f326(f326(f9(a1,a917,a917),f326(f326(f10(a917,f925(a917,a917),a1),f79(a917)),a105)),x46285))),f326(f326(f10(a917,x46281,a1),f184(x46281,x46283,x46284)),f326(f326(f9(a1,a917,a917),f326(f326(f10(a917,f925(a917,a917),a1),f79(a917)),a105)),x46285))))),f326(f184(x46281,x46283,x46284),f326(f326(f79(a917),f326(f104(a917),x46282)),x46285)))
% 225.11/225.10 [4662]E(f326(f261(f924(x46621,x46622)),f326(f256(x46621,x46622,a913),f326(f326(f10(f925(x46622,f925(x46623,a913)),f925(x46622,a913),x46621),f326(f10(f925(x46623,a913),a913,x46622),f86(x46623))),f326(f326(f9(x46621,f925(x46622,f925(x46623,a913)),f925(x46622,f925(x46623,a913))),f326(f326(f10(f925(f925(x46623,a913),f925(x46623,a913)),f925(f925(x46622,f925(x46623,a913)),f925(x46622,f925(x46623,a913))),x46621),f10(f925(x46623,a913),f925(x46623,a913),x46622)),f326(f326(f10(f925(x46623,f925(a913,a913)),f925(f925(x46623,a913),f925(x46623,a913)),x46621),f20(x46623,a913,a913)),f326(f326(f10(f925(x46623,a913),f925(x46623,f925(a913,a913)),x46621),f326(f10(a913,f925(a913,a913),x46623),a324)),f326(f326(f9(x46621,f925(f924(x46621,x46623),a913),f925(x46623,a913)),f326(f326(f10(f925(x46623,f925(f925(f924(x46621,x46623),a913),a913)),f925(f925(f924(x46621,x46623),a913),f925(x46623,a913)),x46621),f9(x46623,f925(f924(x46621,x46623),a913),a913)),f326(f326(f10(f925(x46623,f924(x46621,x46623)),f925(x46623,f925(f925(f924(x46621,x46623),a913),a913)),x46621),f326(f10(f924(x46621,x46623),f925(f925(f924(x46621,x46623),a913),a913),x46623),f328(f924(x46621,x46623)))),f251(x46621,x46623)))),x46624))))),f326(f326(f9(x46622,f925(f924(x46623,x46622),a913),f925(x46623,a913)),f326(f326(f10(f925(x46623,f925(f925(f924(x46623,x46622),a913),a913)),f925(f925(f924(x46623,x46622),a913),f925(x46623,a913)),x46622),f9(x46623,f925(f924(x46623,x46622),a913),a913)),f326(f326(f10(f925(x46623,f924(x46623,x46622)),f925(x46623,f925(f925(f924(x46623,x46622),a913),a913)),x46622),f326(f10(f924(x46623,x46622),f925(f925(f924(x46623,x46622),a913),a913),x46623),f328(f924(x46623,x46622)))),f326(f9(x46623,x46622,f924(x46623,x46622)),f251(x46623,x46622))))),x46625))))),f326(f326(f288(x46621,x46623,x46622),x46624),x46625))
% 225.11/225.10 [4726]~E(f26(x47261,x47262,x47263),f27(x47264,x47265,x47266))
% 225.11/225.10 [4277]E(f224(x42771,x42772,x42773,x42774,f220(x42771,x42772,x42775,x42776)),f326(f326(x42774,x42775),x42776))
% 225.11/225.10 [4278]E(f225(x42781,x42782,x42783,x42784,f220(x42781,x42782,x42785,x42786)),f326(f326(x42784,x42785),x42786))
% 225.11/225.10 [4405]E(f127(x44051,x44052,x44053,x44054,f126(x44052,x44055,x44056)),f326(f326(f326(x44054,x44055),x44056),f127(x44051,x44052,x44053,x44054,x44056)))
% 225.11/225.10 [4424]E(f74(x44241,x44242,f74(x44241,x44242,x44243,x44244,x44245),x44244,x44246),f74(x44241,x44242,x44243,x44244,x44246))
% 225.11/225.10 [4532]E(f326(f72(f924(x45321,x45322),x45322,f924(x45323,x45324),f255(x45321,x45322)),f257(x45323,x45321,x45324,x45322,x45325,x45326)),f326(f72(x45324,x45322,f924(x45323,x45324),x45326),f255(x45323,x45324)))
% 225.11/225.10 [4533]E(f326(f72(f924(x45331,x45332),x45331,f924(x45333,x45334),f250(x45331,x45332)),f257(x45333,x45331,x45334,x45332,x45335,x45336)),f326(f72(x45333,x45331,f924(x45333,x45334),x45335),f250(x45333,x45334)))
% 225.13/225.10 [4096]E(f94(x40961,x40962,x40963,f91(x40961,x40964,x40965,x40966)),f326(f326(f326(x40963,x40964),x40965),x40966))
% 225.13/225.10 [4097]E(f95(x40971,x40972,x40973,f91(x40971,x40974,x40975,x40976)),f326(f326(f326(x40973,x40974),x40975),x40976))
% 225.13/225.10 [4149]E(f326(f326(f72(x41491,x41492,x41493,x41494),x41495),x41496),f326(x41494,f326(x41495,x41496)))
% 225.13/225.10 [4287]E(f223(x42871,f924(x42872,f919(x42872)),x42873,f326(f256(x42872,f919(x42872),x42871),x42874),f326(f135(x42872),f126(x42872,x42875,x42876))),f326(f326(x42874,x42875),x42876))
% 225.13/225.10 [4337]E(f226(x43371,x43372,x43373,x43374,f220(x43371,x43372,x43375,x43376)),f326(f326(f79(a917),f326(f326(f79(a917),f326(x43373,x43375)),f326(x43374,x43376))),f326(a112,f2(a917))))
% 225.13/225.10 [3945]E(f326(f326(f256(x39451,x39452,x39453),x39454),f326(f326(f251(x39451,x39452),x39455),x39456)),f326(f326(x39454,x39455),x39456))
% 225.13/225.10 [4007]E(f326(f326(f326(f10(x40071,x40072,x40073),x40074),x40075),x40076),f326(x40074,f326(x40075,x40076)))
% 225.13/225.10 [4008]E(f326(f326(f326(f9(x40081,x40082,x40083),x40084),x40085),x40086),f326(f326(x40084,x40086),x40085))
% 225.13/225.10 [4024]E(f326(f326(f326(f20(x40241,x40242,x40243),x40244),x40245),x40246),f326(f326(x40244,x40246),f326(x40245,x40246)))
% 225.13/225.10 [4047]E(f326(f156(x40471,x40472,x40473,x40474),f326(f326(f151(x40472),x40475),x40476)),f326(f326(x40474,x40475),x40476))
% 225.13/225.10 [4085]E(f169(f924(x40851,x40852),f326(f326(f238(a917),x40853),x40854),f326(f326(f251(x40851,x40852),x40855),x40856)),f326(f326(f181(x40851,x40852),f169(x40851,x40853,x40855)),f169(x40852,x40854,x40856)))
% 225.13/225.10 [4153]E(f326(f326(f151(f924(x41531,x41532)),f326(f326(f251(x41531,x41532),x41533),x41534)),f326(f326(f181(x41531,x41532),x41535),x41536)),f326(f326(f181(x41531,x41532),f326(f326(f151(x41531),x41533),x41535)),f326(f326(f151(x41532),x41534),x41536)))
% 225.13/225.10 [4154]E(f326(f326(f154(x41541,x41542),x41543),f326(f326(f159(x41541,x41544),x41545),x41546)),f326(f326(f159(x41542,f326(f326(f154(x41541,x41542),x41543),x41544)),x41545),f326(x41543,x41546)))
% 225.13/225.10 [4178]E(f326(f326(f254(x41781,x41782,x41783,x41784),x41785),x41786),f326(x41784,f326(f326(f251(x41781,x41782),x41785),x41786)))
% 225.13/225.10 [4194]E(f326(f142(x41941,x41942,x41943,x41944),f326(f326(f151(x41942),x41945),x41946)),f326(f142(x41941,x41942,x41943,f326(f326(x41943,x41944),x41945)),x41946))
% 225.13/225.10 [4220]E(f259(x42201,x42202,x42203,x42204,f326(f326(f251(x42201,x42202),x42205),x42206)),f326(f326(x42204,x42205),x42206))
% 225.13/225.10 [4301]E(f326(f326(f38(x43011,f925(x43012,a913)),x43013),f326(f72(x43014,f925(x43012,a913),x43011,x43015),x43016)),f326(f326(f38(x43014,f925(x43012,a913)),f326(f309(x43011,x43014,x43016),x43013)),x43015))
% 225.13/225.10 [4353]E(f326(f326(f154(x43531,x43532),x43533),f326(f326(f154(x43534,x43531),x43535),x43536)),f326(f326(f154(x43534,x43532),f326(f72(x43531,x43532,x43534,x43533),x43535)),x43536))
% 225.13/225.10 [4359]E(f326(f309(x43591,x43592,f326(f72(x43593,x43592,x43591,x43594),x43595)),x43596),f326(f309(x43593,x43592,x43594),f326(f309(x43591,x43593,x43595),x43596)))
% 225.13/225.10 [4360]E(f326(f310(x43601,x43602,f326(f72(x43603,x43602,x43601,x43604),x43605)),x43606),f326(f310(x43601,x43603,x43605),f326(f310(x43603,x43602,x43604),x43606)))
% 225.13/225.10 [4388]E(f326(f142(x43881,x43882,x43883,f326(f142(x43881,x43882,x43883,x43884),x43885)),x43886),f326(f142(x43881,x43882,x43883,x43884),f326(f326(f134(x43882),x43885),x43886)))
% 225.13/225.10 [4522]E(f326(f257(x45221,x45221,x45222,x45223,f31(x45221),x45224),f326(f326(f251(x45221,x45222),x45225),x45226)),f326(f326(f251(x45221,x45223),x45225),f326(x45224,x45226)))
% 225.13/225.10 [4523]E(f326(f257(x45231,x45232,x45233,x45233,x45234,f31(x45233)),f326(f326(f251(x45231,x45233),x45235),x45236)),f326(f326(f251(x45232,x45233),f326(x45234,x45235)),x45236))
% 225.13/225.10 [4611]E(f326(f326(f154(f924(x46111,x46112),f924(x46111,x46113)),f326(f256(x46111,x46112,f924(x46111,x46113)),f326(f326(f9(x46111,f925(x46112,x46113),f925(x46112,f924(x46111,x46113))),f326(f326(f10(f925(x46113,f924(x46111,x46113)),f925(f925(x46112,x46113),f925(x46112,f924(x46111,x46113))),x46111),f10(x46113,f924(x46111,x46113),x46112)),f251(x46111,x46113))),x46114))),f326(f326(f181(x46111,x46112),x46115),x46116)),f326(f326(f181(x46111,x46113),x46115),f326(f326(f154(x46112,x46113),x46114),x46116)))
% 225.13/225.10 [4204]E(f326(f326(f72(x42041,x42042,x42043,f326(f18(x42042,x42041),x42044)),x42045),x42046),x42044)
% 225.13/225.10 [4236]E(f326(f309(x42361,x42362,x42363),f326(f309(x42364,x42361,x42365),x42366)),f326(f309(x42364,x42362,f326(f326(f10(x42361,x42362,x42364),x42363),x42365)),x42366))
% 225.13/225.10 [4242]E(f326(f326(f38(x42421,f925(x42422,a913)),f326(f309(x42423,x42421,x42424),x42425)),x42426),f326(f326(f38(x42423,f925(x42422,a913)),x42425),f326(f326(f10(x42421,f925(x42422,a913),x42423),x42426),x42424)))
% 225.13/225.10 [4243]E(f326(f326(f39(x42431,f925(x42432,a913)),f326(f309(x42433,x42431,x42434),x42435)),x42436),f326(f326(f39(x42433,f925(x42432,a913)),x42435),f326(f326(f10(x42431,f925(x42432,a913),x42433),x42436),x42434)))
% 225.13/225.10 [4244]E(f326(f326(f38(x42441,f925(x42442,a913)),x42443),f326(f326(f10(x42444,f925(x42442,a913),x42441),x42445),x42446)),f326(f326(f38(x42444,f925(x42442,a913)),f326(f309(x42441,x42444,x42446),x42443)),x42445))
% 225.13/225.10 [4245]E(f326(f326(f39(x42451,f925(x42452,a913)),x42453),f326(f326(f10(x42454,f925(x42452,a913),x42451),x42455),x42456)),f326(f326(f39(x42454,f925(x42452,a913)),f326(f309(x42451,x42454,x42456),x42453)),x42455))
% 225.13/225.10 [4303]E(f326(f326(f38(x43031,f925(x43032,a913)),x43033),f326(f326(f10(f925(x43034,a913),f925(x43032,a913),x43031),f309(x43034,x43032,x43035)),x43036)),f326(f309(x43034,x43032,x43035),f326(f326(f38(x43031,f925(x43034,a913)),x43033),x43036)))
% 225.13/225.10 [4304]E(f326(f326(f38(x43041,f925(x43042,a913)),x43043),f326(f326(f10(f925(x43044,a913),f925(x43042,a913),x43041),f284(x43044,x43042,x43045)),x43046)),f326(f284(x43044,x43042,x43045),f326(f326(f38(x43041,f925(x43044,a913)),x43043),x43046)))
% 225.13/225.10 [4305]E(f326(f326(f38(x43051,f925(x43052,a913)),x43053),f326(f326(f10(f925(x43054,a913),f925(x43052,a913),x43051),f310(x43052,x43054,x43055)),x43056)),f326(f310(x43052,x43054,x43055),f326(f326(f38(x43051,f925(x43054,a913)),x43053),x43056)))
% 225.13/225.10 [4306]E(f326(f326(f39(x43061,f925(x43062,a913)),x43063),f326(f326(f10(f925(x43064,a913),f925(x43062,a913),x43061),f310(x43062,x43064,x43065)),x43066)),f326(f310(x43062,x43064,x43065),f326(f326(f39(x43061,f925(x43064,a913)),x43063),x43066)))
% 225.13/225.10 [4393]E(f326(f142(x43931,x43932,f326(f9(x43932,x43931,x43931),x43933),x43934),f326(f168(x43932),f326(f326(f151(x43932),x43935),x43936))),f326(f326(x43933,x43935),f326(f142(x43931,x43932,f326(f9(x43932,x43931,x43931),x43933),x43934),f326(f168(x43932),x43936))))
% 225.13/225.10 [4451]E(f326(f326(f20(f924(x44511,x44512),x44512,x44513),f326(f326(f10(x44514,f925(x44512,x44513),f924(x44511,x44512)),x44515),f326(f326(f10(x44511,x44514,f924(x44511,x44512)),x44516),f250(x44511,x44512)))),f255(x44511,x44512)),f326(f256(x44511,x44512,x44513),f326(f326(f10(x44514,f925(x44512,x44513),x44511),x44515),x44516)))
% 225.13/225.10 [4458]E(f326(f142(x44581,x44582,f326(f9(x44582,x44581,x44581),x44583),f326(f142(x44581,x44582,f326(f9(x44582,x44581,x44581),x44583),x44584),f326(f168(x44582),x44585))),f326(f168(x44582),x44586)),f326(f142(x44581,x44582,f326(f9(x44582,x44581,x44581),x44583),x44584),f326(f168(x44582),f326(f326(f134(x44582),x44586),x44585))))
% 225.13/225.10 [4460]E(f326(f326(f154(f924(x44601,x44602),f924(x44603,x44602)),f326(f256(x44601,x44602,f924(x44603,x44602)),f326(f326(f10(x44603,f925(x44602,f924(x44603,x44602)),x44601),f251(x44603,x44602)),x44604))),f326(f326(f181(x44601,x44602),x44605),x44606)),f326(f326(f181(x44603,x44602),f326(f326(f154(x44601,x44603),x44604),x44605)),x44606))
% 225.13/225.10 [4505]P105(f326(f326(f234(f925(x45051,a913)),f326(f284(x45052,x45051,x45053),f326(f326(f39(x45054,f925(x45052,a913)),x45055),x45056))),f326(f326(f39(x45054,f925(x45051,a913)),x45055),f326(f326(f10(f925(x45052,a913),f925(x45051,a913),x45054),f284(x45052,x45051,x45053)),x45056))))
% 225.13/225.10 [4316]E(f326(f326(f181(x43161,x43162),f326(f326(f159(x43161,x43163),x43164),f326(f250(x43161,x43162),x43165))),f326(f326(f159(x43162,x43166),x43164),f326(f255(x43161,x43162),x43165))),f326(f326(f159(f924(x43161,x43162),f326(f326(f181(x43161,x43162),x43163),x43166)),x43164),x43165))
% 225.13/225.10 [4376]E(f326(f326(f101(f925(f924(x43761,x43762),a913)),f326(f326(f288(x43761,x43763,x43762),x43764),x43765)),f326(f326(f288(x43761,x43763,x43762),x43764),x43766)),f326(f326(f288(x43761,x43763,x43762),x43764),f326(f326(f101(f925(f924(x43763,x43762),a913)),x43765),x43766)))
% 225.13/225.10 [4470]E(f326(f326(f308(f924(x44701,x44702)),f326(f326(f251(x44701,x44702),x44703),x44704)),f326(f326(f101(f925(f924(x44701,x44702),a913)),f326(f326(f253(x44701,x44702),x44705),f326(f18(f925(x44702,a913),x44701),f326(f326(f308(x44702),x44704),x44706)))),f326(f326(f253(x44701,x44702),f326(f326(f308(x44701),x44703),x44705)),f326(f18(f925(x44702,a913),x44701),x44706)))),f326(f326(f253(x44701,x44702),f326(f326(f308(x44701),x44703),x44705)),f326(f18(f925(x44702,a913),x44701),f326(f326(f308(x44702),x44704),x44706))))
% 225.13/225.10 [4549]E(f326(f326(f102(f925(x45491,a913)),f326(f310(x45491,x45492,f326(f72(f924(x45492,x45493),x45492,x45491,f250(x45492,x45493)),x45494)),x45495)),f326(f310(x45491,x45493,f326(f72(f924(x45492,x45493),x45493,x45491,f255(x45492,x45493)),x45494)),x45496)),f326(f310(x45491,f924(x45492,x45493),x45494),f326(f326(f253(x45492,x45493),x45495),f326(f18(f925(x45493,a913),x45492),x45496))))
% 225.13/225.10 [4399]E(f326(f326(f101(f925(f924(x43991,x43992),a913)),f326(f326(f288(x43991,x43993,x43992),x43994),x43995)),f326(f326(f288(x43991,x43993,x43992),x43996),x43995)),f326(f326(f288(x43991,x43993,x43992),f326(f326(f101(f925(f924(x43991,x43993),a913)),x43994),x43996)),x43995))
% 225.13/225.10 [4530]E(f326(f326(f38(x45301,f925(x45302,a913)),x45303),f326(f326(f9(x45301,f925(x45304,f925(x45302,a913)),f925(x45302,a913)),f326(f326(f10(f925(x45304,a913),f925(f925(x45304,f925(x45302,a913)),f925(x45302,a913)),x45301),f38(x45304,f925(x45302,a913))),x45305)),x45306)),f326(f326(f38(x45304,f925(x45302,a913)),f326(f326(f38(x45301,f925(x45304,a913)),x45303),x45305)),x45306))
% 225.13/225.10 [4531]E(f326(f326(f39(x45311,f925(x45312,a913)),x45313),f326(f326(f9(x45311,f925(x45314,f925(x45312,a913)),f925(x45312,a913)),f326(f326(f10(f925(x45314,a913),f925(f925(x45314,f925(x45312,a913)),f925(x45312,a913)),x45311),f39(x45314,f925(x45312,a913))),x45315)),x45316)),f326(f326(f39(x45314,f925(x45312,a913)),f326(f326(f38(x45311,f925(x45314,a913)),x45313),x45315)),x45316))
% 225.13/225.10 [4583]E(f326(f256(x45831,x45832,f924(x45833,x45834)),f326(f326(f9(x45831,f925(x45832,x45834),f925(x45832,f924(x45833,x45834))),f326(f326(f10(f925(x45834,f924(x45833,x45834)),f925(f925(x45832,x45834),f925(x45832,f924(x45833,x45834))),x45831),f10(x45834,f924(x45833,x45834),x45832)),f326(f326(f10(x45833,f925(x45834,f924(x45833,x45834)),x45831),f251(x45833,x45834)),x45835))),x45836)),f257(x45831,x45833,x45832,x45834,x45835,x45836))
% 225.13/225.10 [4606]E(f326(f309(x46061,x46062,f326(f326(f20(x46061,x46062,x46062),f326(f326(f20(x46061,x46062,f925(x46062,x46062)),f326(f326(f10(a913,f925(x46062,f925(x46062,x46062)),x46061),f96(x46062)),x46063)),x46064)),x46065)),x46066),f326(f326(f101(f925(x46062,a913)),f326(f309(x46061,x46062,x46064),f326(f326(f102(f925(x46061,a913)),x46066),f326(f261(x46061),x46063)))),f326(f309(x46061,x46062,x46065),f326(f326(f102(f925(x46061,a913)),x46066),f326(f261(x46061),f326(f326(f10(a913,a913,x46061),a321),x46063))))))
% 225.13/225.10 [4618]E(f326(f309(x46181,f924(x46182,x46183),f326(f326(f20(x46181,x46183,f924(x46182,x46183)),f326(f326(f10(x46182,f925(x46183,f924(x46182,x46183)),x46181),f251(x46182,x46183)),x46184)),x46185)),x46186),f326(f326(f253(x46182,x46183),f326(f309(x46181,x46182,x46184),x46186)),f326(f326(f10(f925(x46181,a913),f925(x46183,a913),x46182),f309(x46181,x46183,x46185)),f326(f326(f9(x46182,f925(x46181,a913),f925(x46181,a913)),f326(f326(f10(f925(x46181,a913),f925(f925(x46181,a913),f925(x46181,a913)),x46182),f102(f925(x46181,a913))),f326(f326(f10(f925(x46182,a913),f925(x46181,a913),x46182),f310(x46181,x46182,x46184)),f326(f326(f9(x46182,f925(x46182,a913),f925(x46182,a913)),f308(x46182)),f188(f925(x46182,a913)))))),x46186))))
% 225.13/225.10 [4644]E(f245(x46441,x46442,x46443,x46444,x46445,x46446),f326(x46444,f326(f261(x46441),f326(f326(f10(f925(f925(x46443,x46441),a913),a913,x46441),f86(f925(x46443,x46441))),f326(f326(f10(f925(f925(x46443,x46441),a913),f925(f925(x46443,x46441),a913),x46441),f326(f20(f925(x46443,x46441),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x46443,x46441)),a324),f326(f326(f9(f925(x46443,x46441),f925(f925(x46443,x46441),a913),a913),f328(f925(x46443,x46441))),x46445)))),f326(f326(f9(x46441,f925(f925(x46443,x46441),x46441),f925(f925(x46443,x46441),a913)),f326(f326(f10(f925(x46441,a913),f925(f925(f925(x46443,x46441),x46441),f925(f925(x46443,x46441),a913)),x46441),f10(x46441,a913,f925(x46443,x46441))),a323)),f326(f326(f9(f925(x46443,x46441),x46443,x46441),f7(f925(x46443,x46441))),x46446)))))))
% 225.13/225.10 [4432]E(f326(f72(x44321,x44322,x44323,x44324),f74(x44323,x44321,x44325,x44326,x44327)),f74(x44323,x44322,f326(f72(x44321,x44322,x44323,x44324),x44325),x44326,f326(x44324,x44327)))
% 225.13/225.10 [4566]E(f326(f255(x45661,x45662),f326(f257(x45663,x45661,x45664,x45662,x45665,x45666),x45667)),f326(x45666,f326(f255(x45663,x45664),x45667)))
% 225.13/225.10 [4567]E(f326(f250(x45671,x45672),f326(f257(x45673,x45671,x45674,x45672,x45675,x45676),x45677)),f326(x45675,f326(f250(x45673,x45674),x45677)))
% 225.13/225.10 [4279]E(f326(f326(f181(x42791,x42792),f326(f326(f159(x42791,x42793),x42794),x42795)),f326(f326(f159(x42792,x42796),x42794),x42797)),f326(f326(f159(f924(x42791,x42792),f326(f326(f181(x42791,x42792),x42793),x42796)),x42794),f326(f326(f251(x42791,x42792),x42795),x42797)))
% 225.13/225.10 [4348]E(f326(f326(f326(f258(x43481,x43482,x43483,x43484),x43485),x43486),x43487),f326(f326(f256(x43482,x43483,x43484),x43486),f326(x43485,x43487)))
% 225.13/225.10 [4358]E(f326(f326(f326(f258(x43581,x43582,x43583,x43584),x43585),x43586),x43587),f326(f326(x43586,f326(f250(x43582,x43583),f326(x43585,x43587))),f326(f255(x43582,x43583),f326(x43585,x43587))))
% 225.13/225.10 [4410]E(f326(f72(x44101,x44102,x44103,x44104),f326(f72(x44105,x44101,x44103,x44106),x44107)),f326(f72(x44105,x44102,x44103,f326(f72(x44101,x44102,x44105,x44104),x44106)),x44107))
% 225.13/225.10 [4587]E(f326(f257(x45871,x45872,x45873,x45873,x45874,f31(x45873)),f326(f257(x45871,x45871,x45875,x45873,f31(x45871),x45876),x45877)),f326(f326(f251(x45872,x45873),f326(x45874,f326(f250(x45871,x45875),x45877))),f326(x45876,f326(f255(x45871,x45875),x45877))))
% 225.13/225.10 [4588]E(f326(f257(x45881,x45881,x45882,x45883,f31(x45881),x45884),f326(f257(x45885,x45881,x45882,x45882,x45886,f31(x45882)),x45887)),f326(f326(f251(x45881,x45883),f326(x45886,f326(f250(x45885,x45882),x45887))),f326(x45884,f326(f255(x45885,x45882),x45887))))
% 225.13/225.10 [4604]E(f326(f257(x46041,x46042,x46043,x46043,x46044,f31(x46043)),f326(f257(x46045,x46041,x46043,x46043,x46046,f31(x46043)),x46047)),f326(f257(x46045,x46042,x46043,x46043,f326(f72(x46041,x46042,x46045,x46044),x46046),f31(x46043)),x46047))
% 225.13/225.10 [4605]E(f326(f257(x46051,x46051,x46052,x46053,f31(x46051),x46054),f326(f257(x46051,x46051,x46055,x46052,f31(x46051),x46056),x46057)),f326(f257(x46051,x46051,x46055,x46053,f31(x46051),f326(f72(x46052,x46053,x46055,x46054),x46056)),x46057))
% 225.13/225.10 [4615]E(f326(f257(x46151,x46152,x46153,x46153,x46154,f31(x46153)),f326(f257(x46151,x46151,x46155,x46153,f31(x46151),x46156),x46157)),f326(f257(x46152,x46152,x46155,x46153,f31(x46152),x46156),f326(f257(x46151,x46152,x46155,x46155,x46154,f31(x46155)),x46157)))
% 225.13/225.10 [4313]E(f326(f326(f288(x43131,x43132,x43133),f326(f326(f288(x43131,x43134,x43132),x43135),x43136)),x43137),f326(f326(f288(x43131,x43134,x43133),x43135),f326(f326(f288(x43134,x43132,x43133),x43136),x43137)))
% 225.13/225.10 [4382]E(f326(f326(f256(x43821,x43822,x43823),f326(f72(x43824,f925(x43822,x43823),x43821,x43825),x43826)),x43827),f326(f326(x43825,f326(x43826,f326(f250(x43821,x43822),x43827))),f326(f255(x43821,x43822),x43827)))
% 225.13/225.10 [4463]E(f326(f142(x44631,x44632,f326(f9(x44632,x44631,x44631),x44633),x44634),f326(f168(x44632),f326(f326(f154(x44635,x44632),x44636),x44637))),f326(f142(x44631,x44635,f326(f9(x44635,x44631,x44631),f326(f72(x44632,f925(x44631,x44631),x44635,x44633),x44636)),x44634),f326(f168(x44635),x44637)))
% 225.13/225.10 [4411]E(f326(f326(f38(x44111,f925(f924(x44112,x44113),a913)),x44114),f326(f326(f10(f925(f924(x44115,x44113),a913),f925(f924(x44112,x44113),a913),x44111),f326(f288(x44112,x44115,x44113),x44116)),x44117)),f326(f326(f288(x44112,x44115,x44113),x44116),f326(f326(f38(x44111,f925(f924(x44115,x44113),a913)),x44114),x44117)))
% 225.13/225.10 [4554]E(f326(f326(f38(x45541,f925(f924(x45542,x45543),a913)),x45544),f326(f326(f9(x45541,f925(f924(x45545,x45543),a913),f925(f924(x45542,x45543),a913)),f326(f326(f10(f925(f924(x45542,x45545),a913),f925(f925(f924(x45545,x45543),a913),f925(f924(x45542,x45543),a913)),x45541),f288(x45542,x45545,x45543)),x45546)),x45547)),f326(f326(f288(x45542,x45545,x45543),f326(f326(f38(x45541,f925(f924(x45542,x45545),a913)),x45544),x45546)),x45547))
% 225.13/225.10 [4555]E(f326(f142(x45551,x45552,f326(f326(f9(x45551,f925(x45552,x45553),f925(x45552,x45551)),f326(f326(f10(f925(x45553,x45551),f925(f925(x45552,x45553),f925(x45552,x45551)),x45551),f10(x45553,x45551,x45552)),x45554)),x45555),x45556),x45557),f326(f142(x45551,x45553,x45554,x45556),f326(f326(f154(x45552,x45553),x45555),x45557)))
% 225.13/225.10 [4616]E(f326(f326(f39(x46161,f925(x46162,a913)),x46163),f326(f326(f10(f925(x46164,f925(x46162,a913)),f925(x46162,a913),x46161),f326(f39(x46164,f925(x46162,a913)),x46165)),f326(f326(f9(x46161,f925(x46164,f925(x46162,a913)),f925(x46164,f925(x46162,a913))),f326(f326(f10(f925(f925(x46162,a913),f925(x46162,a913)),f925(f925(x46164,f925(x46162,a913)),f925(x46164,f925(x46162,a913))),x46161),f10(f925(x46162,a913),f925(x46162,a913),x46164)),f326(f326(f10(f925(x46162,a913),f925(f925(x46162,a913),f925(x46162,a913)),x46161),f101(f925(x46162,a913))),x46166))),x46167))),f326(f326(f101(f925(x46162,a913)),f326(f326(f39(x46161,f925(x46162,a913)),x46163),x46166)),f326(f326(f39(x46164,f925(x46162,a913)),x46165),x46167)))
% 225.13/225.10 [4617]E(f326(f326(f38(x46171,f925(x46172,a913)),x46173),f326(f326(f10(f925(x46174,f925(x46172,a913)),f925(x46172,a913),x46171),f326(f38(x46174,f925(x46172,a913)),x46175)),f326(f326(f9(x46171,f925(x46174,f925(x46172,a913)),f925(x46174,f925(x46172,a913))),f326(f326(f10(f925(f925(x46172,a913),f925(x46172,a913)),f925(f925(x46174,f925(x46172,a913)),f925(x46174,f925(x46172,a913))),x46171),f10(f925(x46172,a913),f925(x46172,a913),x46174)),f326(f326(f10(f925(x46172,a913),f925(f925(x46172,a913),f925(x46172,a913)),x46171),f102(f925(x46172,a913))),x46176))),x46177))),f326(f326(f102(f925(x46172,a913)),f326(f326(f38(x46171,f925(x46172,a913)),x46173),x46176)),f326(f326(f38(x46174,f925(x46172,a913)),x46175),x46177)))
% 225.13/225.10 [4609]E(f197(x46091,x46092,f326(f326(f326(x46093,x46094),x46095),x46096),f326(f326(f9(x46091,f924(a99,a99),f925(a99,f919(x46092))),f326(f326(f9(x46091,a99,f925(f924(a99,a99),f925(a99,f919(x46092)))),f326(f326(f9(x46091,a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(x46092))))),x46097),x46094)),x46095)),x46096)),f326(f326(f326(f209(x46091,x46092,x46093,x46097),x46094),x46095),x46096))
% 225.13/225.10 [4623]E(f198(x46231,x46232,f326(f326(f326(x46233,x46234),x46235),x46236),f326(f326(f9(x46231,f924(a99,a99),f925(a99,f919(x46232))),f326(f326(f9(x46231,a99,f925(f924(a99,a99),f925(a99,f919(x46232)))),f326(f326(f9(x46231,a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(x46232))))),x46237),x46234)),x46235)),x46236)),f211(x46231,x46232,x46233,x46237,x46234,x46235,x46236))
% 225.13/225.10 [4614]E(f195(x46141,x46142,f326(f326(f326(x46143,x46144),x46145),x46146),f326(f326(f9(x46141,f924(a99,a99),f925(a99,f919(f921(x46142)))),f326(f326(f9(x46141,a99,f925(f924(a99,a99),f925(a99,f919(f921(x46142))))),f326(f326(f9(x46141,a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(f921(x46142)))))),x46147),x46144)),x46145)),x46146)),f326(f326(f326(f205(x46141,x46142,x46143,x46147),x46144),x46145),x46146))
% 225.13/225.10 [4625]E(f196(x46251,x46252,f326(f326(f326(x46253,x46254),x46255),x46256),f326(f326(f9(x46251,f924(a99,a99),f925(a99,f919(f921(x46252)))),f326(f326(f9(x46251,a99,f925(f924(a99,a99),f925(a99,f919(f921(x46252))))),f326(f326(f9(x46251,a99,f925(a99,f925(f924(a99,a99),f925(a99,f919(f921(x46252)))))),x46257),x46254)),x46255)),x46256)),f207(x46251,x46252,x46253,x46257,x46254,x46255,x46256))
% 225.13/225.10 [4524]E(f326(f257(x45241,x45242,x45243,x45244,x45245,x45246),f326(f326(f251(x45241,x45243),x45247),x45248)),f326(f326(f251(x45242,x45244),f326(x45245,x45247)),f326(x45246,x45248)))
% 225.13/225.10 [4627]E(f326(f326(f154(f924(x46271,x46272),f924(x46273,x46274)),f326(f256(x46271,x46272,f924(x46273,x46274)),f326(f326(f9(x46271,f925(x46272,x46274),f925(x46272,f924(x46273,x46274))),f326(f326(f10(f925(x46274,f924(x46273,x46274)),f925(f925(x46272,x46274),f925(x46272,f924(x46273,x46274))),x46271),f10(x46274,f924(x46273,x46274),x46272)),f326(f326(f10(x46273,f925(x46274,f924(x46273,x46274)),x46271),f251(x46273,x46274)),x46275))),x46276))),f326(f326(f181(x46271,x46272),x46277),x46278)),f326(f326(f181(x46273,x46274),f326(f326(f154(x46271,x46273),x46275),x46277)),f326(f326(f154(x46272,x46274),x46276),x46278)))
% 225.13/225.10 [4630]E(f326(f326(f154(f924(x46301,x46302),x46303),f326(f256(x46301,x46302,x46303),f326(f326(f10(f925(x46302,f924(x46301,x46304)),f925(x46302,x46303),x46301),f326(f10(f924(x46301,x46304),x46303,x46302),x46305)),f326(f326(f9(x46301,f925(x46302,x46304),f925(x46302,f924(x46301,x46304))),f326(f326(f10(f925(x46304,f924(x46301,x46304)),f925(f925(x46302,x46304),f925(x46302,f924(x46301,x46304))),x46301),f10(x46304,f924(x46301,x46304),x46302)),f251(x46301,x46304))),x46306)))),f326(f326(f181(x46301,x46302),x46307),x46308)),f326(f326(f154(f924(x46301,x46304),x46303),x46305),f326(f326(f181(x46301,x46304),x46307),f326(f326(f154(x46302,x46304),x46306),x46308))))
% 225.13/225.10 [4558]E(f326(f326(f154(f924(x45581,x45582),x45583),f326(f256(x45581,x45582,x45583),f326(f326(f10(f925(x45582,f924(x45584,x45582)),f925(x45582,x45583),x45581),f326(f10(f924(x45584,x45582),x45583,x45582),x45585)),f326(f326(f10(x45584,f925(x45582,f924(x45584,x45582)),x45581),f251(x45584,x45582)),x45586)))),f326(f326(f181(x45581,x45582),x45587),x45588)),f326(f326(f154(f924(x45584,x45582),x45583),x45585),f326(f326(f181(x45584,x45582),f326(f326(f154(x45581,x45584),x45586),x45587)),x45588)))
% 225.13/225.10 [4515]E(f326(f326(f256(x45151,x45152,x45153),f326(f326(f10(f925(x45152,f924(x45154,x45155)),f925(x45152,x45153),x45151),f326(f10(f924(x45154,x45155),x45153,x45152),f326(f256(x45154,x45155,x45153),x45156))),x45157)),x45158),f326(f326(f256(x45154,x45155,x45153),x45156),f326(f326(f256(x45151,x45152,f924(x45154,x45155)),x45157),x45158)))
% 225.13/225.10 [4631]E(f326(f326(f38(f924(x46311,x46312),f925(f924(x46313,x46314),a913)),f326(f326(f253(x46311,x46312),x46315),f326(f18(f925(x46312,a913),x46311),x46316))),f326(f256(x46311,x46312,f925(f924(x46313,x46314),a913)),f326(f326(f9(x46311,f925(x46312,f925(x46313,f925(x46314,a913))),f925(x46312,f925(f924(x46313,x46314),a913))),f326(f326(f10(f925(f925(x46313,f925(x46314,a913)),f925(f924(x46313,x46314),a913)),f925(f925(x46312,f925(x46313,f925(x46314,a913))),f925(x46312,f925(f924(x46313,x46314),a913))),x46311),f10(f925(x46313,f925(x46314,a913)),f925(f924(x46313,x46314),a913),x46312)),f326(f326(f10(f925(x46313,a913),f925(f925(x46313,f925(x46314,a913)),f925(f924(x46313,x46314),a913)),x46311),f253(x46313,x46314)),x46317))),f326(f326(f10(f925(x46314,a913),f925(x46313,f925(x46314,a913)),x46312),f18(f925(x46314,a913),x46313)),x46318)))),f326(f326(f253(x46313,x46314),f326(f326(f38(x46311,f925(x46313,a913)),x46315),x46317)),f326(f18(f925(x46314,a913),x46313),f326(f326(f38(x46312,f925(x46314,a913)),x46316),x46318))))
% 225.13/225.10 [4572]E(f326(f326(f258(x45721,x45722,x45723,x45724),f326(f326(f258(x45721,x45725,x45726,f924(x45722,x45723)),x45727),x45728)),x45729),f326(f326(f258(x45721,x45725,x45726,x45724),x45727),f326(f326(f9(x45725,f925(x45722,f925(x45723,x45724)),f925(x45726,x45724)),f326(f326(f10(f925(x45726,f924(x45722,x45723)),f925(f925(x45722,f925(x45723,x45724)),f925(x45726,x45724)),x45725),f258(x45726,x45722,x45723,x45724)),x45728)),x45729)))
% 225.13/225.10 [4601]E(f326(f72(f924(x46011,x46012),f924(x46013,x46014),f924(x46015,x46016),f257(x46011,x46013,x46012,x46014,x46017,x46018)),f257(x46015,x46011,x46016,x46012,x46019,x460110)),f257(x46015,x46013,x46016,x46014,f326(f72(x46011,x46013,x46015,x46017),x46019),f326(f72(x46012,x46014,x46016,x46018),x460110)))
% 225.13/225.10 [4607]E(f326(f257(x46071,x46072,x46073,x46074,x46075,x46076),f326(f257(x46077,x46071,x46078,x46073,x46079,x460710),x460711)),f326(f257(x46077,x46072,x46078,x46074,f326(f72(x46071,x46072,x46077,x46075),x46079),f326(f72(x46073,x46074,x46078,x46076),x460710)),x460711))
% 225.13/225.10 [6878]~P24(a912,a926,a928)+~P24(a912,a926,f326(f326(f308(f916(a912)),a927),f188(f925(f916(a912),a913))))
% 225.13/225.10 [4754]~P2(x47541)+P2(f921(x47541))
% 225.13/225.10 [4755]~P60(x47551)+P60(f921(x47551))
% 225.13/225.10 [4756]~P103(x47561)+P103(f918(x47561))
% 225.13/225.10 [4759]~P144(x47591)+~E(f77(x47591),f2(x47591))
% 225.13/225.10 [4761]~E(x47611,f2(a99))+E(f326(a24,x47611),f2(a1))
% 225.13/225.10 [4762]~E(x47621,f2(a1))+E(f81(a1,x47621),f2(a1))
% 225.13/225.10 [4768]~P145(x47681)+P28(x47681,f2(x47681))
% 225.13/225.10 [4770]~P108(x47701)+P13(x47701,f113(x47701))
% 225.13/225.10 [4779]P105(x47791)+P105(f326(a321,x47791))
% 225.13/225.10 [4833]~P145(x48331)+~P28(x48331,f77(x48331))
% 225.13/225.10 [4874]~P105(x48741)+~P105(f326(a321,x48741))
% 225.13/225.10 [4895]E(f326(a105,x48951),f2(a917))+~P105(f326(a193,x48951))
% 225.13/225.10 [4961]~P66(x49611)+P16(x49611,x49611,f80(x49611))
% 225.13/225.10 [4962]~P95(x49621)+P14(x49621,x49621,f80(x49621))
% 225.13/225.10 [4963]~P108(x49631)+P14(x49631,x49631,f238(x49631))
% 225.13/225.10 [4964]~P108(x49641)+P14(x49641,x49641,f233(x49641))
% 225.13/225.10 [4965]~P98(x49651)+P14(x49651,x49651,f101(x49651))
% 225.13/225.10 [4966]~P102(x49661)+P14(x49661,x49661,f102(x49661))
% 225.13/225.10 [4765]~E(x47651,f2(a917))+E(f326(f100(a1),x47651),f2(a1))
% 225.13/225.10 [4772]~P92(x47721)+E(f326(f104(x47721),a82),f2(x47721))
% 225.13/225.10 [4775]~E(f581(x47751),f2(a917))+E(f326(f165(a917),x47751),f2(a917))
% 225.13/225.10 [4776]~P107(x47761)+E(f236(x47761,f234(x47761)),f238(x47761))
% 225.13/225.10 [4777]~P107(x47771)+E(f237(x47771,f234(x47771)),f233(x47771))
% 225.13/225.10 [4778]~P88(x47781)+E(f81(x47781,f2(x47781)),f2(x47781))
% 225.13/225.10 [4787]~P145(x47871)+E(f326(f100(x47871),f77(a917)),f77(x47871))
% 225.13/225.10 [4788]~P145(x47881)+E(f326(f100(x47881),f2(a917)),f2(x47881))
% 225.13/225.10 [4789]~P141(x47891)+E(f326(f103(x47891),f77(a1)),f77(x47891))
% 225.13/225.10 [4790]~P141(x47901)+E(f326(f103(x47901),f2(a1)),f2(x47901))
% 225.13/225.10 [4791]E(x47911,f2(a917))+~E(f326(f100(a1),x47911),f2(a1))
% 225.13/225.10 [4827]~P113(x48271)+E(f326(f75(x48271),f77(x48271)),f77(x48271))
% 225.13/225.10 [4828]~P84(x48281)+E(f326(f75(x48281),f2(x48281)),f2(x48281))
% 225.13/225.10 [4829]~P94(x48291)+E(f326(f78(x48291),f188(x48291)),f241(x48291))
% 225.13/225.10 [4830]~P74(x48301)+E(f326(f78(x48301),f2(x48301)),f2(x48301))
% 225.13/225.10 [4831]~P94(x48311)+E(f326(f78(x48311),f241(x48311)),f188(x48311))
% 225.13/225.10 [4832]~P80(x48321)+E(f326(f165(x48321),f113(x48321)),f2(x48321))
% 225.13/225.10 [4850]~P36(x48501)+P40(f326(f172(a1),x48501))
% 225.13/225.10 [4879]~P92(x48791)+E(f326(f78(x48791),f77(x48791)),f326(f104(x48791),a97))
% 225.13/225.10 [4894]~P92(x48941)+P28(x48941,f326(f104(x48941),a82))
% 225.13/225.10 [4920]P36(x49201)+~P40(f326(f172(a1),x49201))
% 225.13/225.10 [4967]E(f326(f100(a1),f326(a105,x49671)),x49671)+P105(f326(a193,x49671))
% 225.13/225.10 [5037]~P116(x50371)+E(f244(x50371,f77(x50371),f80(x50371)),f243(x50371))
% 225.13/225.10 [5070]~P92(x50701)+~P28(x50701,f326(f104(x50701),a97))
% 225.13/225.10 [5222]E(f326(f75(a1),x52221),x52221)+P105(f326(f326(f235(a1),x52221),f2(a1)))
% 225.13/225.10 [5240]~E(f326(a105,x52401),f2(a917))+P105(f326(f326(f234(a1),x52401),f2(a1)))
% 225.13/225.10 [5305]~P105(f326(a193,x53051))+P105(f326(f326(f235(a1),x53051),f2(a1)))
% 225.13/225.10 [5345]~P112(x53451)+P105(f326(f326(f234(x53451),f2(x53451)),f77(x53451)))
% 225.13/225.10 [5346]~P141(x53461)+P105(f326(f326(f328(x53461),f77(x53461)),f110(x53461)))
% 225.13/225.10 [5347]~P145(x53471)+P105(f326(f326(f328(x53471),f77(x53471)),f186(x53471)))
% 225.13/225.10 [5348]~P141(x53481)+P105(f326(f326(f328(x53481),f2(x53481)),f110(x53481)))
% 225.13/225.10 [5349]~P145(x53491)+P105(f326(f326(f328(x53491),f2(x53491)),f186(x53491)))
% 225.13/225.10 [5350]~P112(x53501)+P105(f326(f326(f235(x53501),f2(x53501)),f77(x53501)))
% 225.13/225.10 [5403]E(x54031,f2(a917))+~P105(f326(f326(f234(a917),x54031),f2(a917)))
% 225.13/225.10 [5445]E(f326(a105,x54451),f2(a917))+~P105(f326(f326(f234(a1),x54451),f2(a1)))
% 225.13/225.10 [5508]P105(f326(a193,x55081))+~P105(f326(f326(f235(a1),x55081),f2(a1)))
% 225.13/225.10 [5515]~P108(x55151)+P16(x55151,f918(x55151),f148(x55151,x55151,f7(x55151)))
% 225.13/225.10 [5533]P40(x55331)+~P105(f326(f326(f234(a1),f2(a1)),f332(x55331)))
% 225.13/225.10 [5538]E(f326(f75(a1),x55381),f326(f78(a1),x55381))+~P105(f326(f326(f235(a1),x55381),f2(a1)))
% 225.13/225.10 [5709]~P112(x57091)+~P105(f326(f326(f234(x57091),f77(x57091)),f2(x57091)))
% 225.13/225.10 [5710]~P112(x57101)+~P105(f326(f326(f235(x57101),f77(x57101)),f2(x57101)))
% 225.13/225.10 [5724]~E(x57241,f2(a917))+P105(f326(f326(f234(a1),f326(f100(a1),x57241)),f2(a1)))
% 225.13/225.10 [5725]~E(x57251,f2(a1))+P105(f326(f326(f235(a1),f326(f75(a1),x57251)),f77(a1)))
% 225.13/225.10 [5848]~P80(x58481)+E(f142(x58481,x58481,f79(x58481),f2(x58481)),f165(x58481))
% 225.13/225.10 [6028]~P93(x60281)+P25(a917,x60281,f100(x60281),f241(f925(a917,a913)))
% 225.13/225.10 [6233]E(x62331,f2(a917))+~P105(f326(f326(f234(a1),f326(f100(a1),x62331)),f2(a1)))
% 225.13/225.10 [6234]E(x62341,f2(a1))+~P105(f326(f326(f235(a1),f326(f75(a1),x62341)),f77(a1)))
% 225.13/225.10 [7036]~P105(f326(f326(f235(a1),x70361),f2(a1)))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x70361),x70361)),f2(a1)))
% 225.13/225.10 [7595]P105(f326(f326(f235(a1),x75951),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x75951),x75951)),f2(a1)))
% 225.13/225.10 [8143]E(x81431,f326(a5,f2(a917)))+P105(f326(f326(f235(a917),f326(f326(f3(a917),f326(a22,x81431)),f326(a112,f2(a917)))),f326(a22,x81431)))
% 225.13/225.10 [8906]~P105(f326(f326(f235(a1),x89061),f2(a1)))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89061),x89061)),a97)),f2(a1)))
% 225.13/225.10 [9003]~P105(f326(f326(f235(a1),x90031),f2(a1)))+P105(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x90031)),x90031)),f2(a1)))
% 225.13/225.10 [9321]P105(f326(f326(f235(a1),x93211),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93211),x93211)),a97)),f2(a1)))
% 225.13/225.10 [9382]P105(f326(f326(f235(a1),x93821),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x93821)),x93821)),f2(a1)))
% 225.13/225.10 [4868]~E(a82,x48681)+E(f326(f326(f79(a1),x48681),x48681),a82)
% 225.13/225.10 [4869]~E(x48691,a82)+E(f326(f326(f79(a1),x48691),x48691),a82)
% 225.13/225.10 [4880]E(x48801,f2(a1))+E(f326(f326(f35(a1),x48801),x48801),f77(a1))
% 225.13/225.10 [5014]E(x50141,a82)+~E(f326(f326(f79(a1),x50141),x50141),a82)
% 225.13/225.10 [5015]E(a82,x50151)+~E(f326(f326(f79(a1),x50151),x50151),a82)
% 225.13/225.10 [5027]~P5(x50271)+E(f36(x50271,f188(f925(x50271,a913))),f188(x50271))
% 225.13/225.10 [5028]~P5(x50281)+E(f36(x50281,f241(f925(x50281,a913))),f241(x50281))
% 225.13/225.10 [5029]~P5(x50291)+E(f37(x50291,f188(f925(x50291,a913))),f241(x50291))
% 225.13/225.10 [5030]~P5(x50301)+E(f37(x50301,f241(f925(x50301,a913))),f188(x50301))
% 225.13/225.10 [5031]~P108(x50311)+E(f139(x50311,f188(f925(x50311,a913))),f113(x50311))
% 225.13/225.10 [5177]E(x51771,f2(a917))+P105(f326(f326(f235(a917),f2(a917)),x51771))
% 225.13/225.10 [5197]~P6(x51971)+P105(f326(f326(f234(a1),f2(a1)),x51971))
% 225.13/225.10 [5231]~E(f326(f104(a917),x52311),f2(a917))+P105(f326(f326(f234(a1),x52311),a82))
% 225.13/225.10 [5236]P40(x52361)+P105(f326(f326(f328(a1),f332(x52361)),x52361))
% 225.13/225.10 [5237]E(x52371,f326(a5,f2(a917)))+P105(f326(f326(f234(a99),f77(a99)),x52371))
% 225.13/225.10 [5278]P105(f326(a193,x52781))+P105(f326(f326(f234(a1),f2(a1)),x52781))
% 225.13/225.10 [5327]E(f326(f100(a1),f326(a105,x53271)),f2(a1))+P105(f326(f326(f234(a1),f2(a1)),x53271))
% 225.13/225.10 [5384]E(f326(f100(a1),f326(f104(a917),x53841)),f326(f104(a1),x53841))+P105(f326(a193,f326(f104(a1),x53841)))
% 225.13/225.10 [5409]E(f326(f104(a917),x54091),f2(a917))+~P105(f326(a193,f326(f104(a1),x54091)))
% 225.13/225.10 [5410]E(f326(f104(a917),x54101),f2(a917))+~P105(f326(f326(f234(a1),x54101),a82))
% 225.13/225.10 [5442]P6(x54421)+~P105(f326(f326(f234(a1),f2(a1)),x54421))
% 225.13/225.10 [5518]E(f326(a112,f795(x55181)),x55181)+~P105(f326(f326(f235(a917),f2(a917)),x55181))
% 225.13/225.10 [5527]E(f326(a112,f326(f104(a917),x55271)),f77(a917))+~P105(f326(a193,f326(f104(a1),x55271)))
% 225.13/225.10 [5534]E(f326(f100(a1),f898(x55341)),x55341)+~P105(f326(f326(f235(a1),f2(a1)),x55341))
% 225.13/225.10 [5541]~E(x55411,f326(a5,f2(a917)))+~P105(f326(f326(f234(a99),f77(a99)),x55411))
% 225.13/225.10 [5548]E(f326(f100(a1),f326(f104(a917),x55481)),f2(a1))+~P105(f326(a193,f326(f104(a1),x55481)))
% 225.13/225.10 [5574]E(f326(f165(a917),x55741),f2(a917))+P105(f326(f326(f328(a917),f581(x55741)),f326(f172(a917),x55741)))
% 225.13/225.10 [5594]E(f326(f100(a1),f326(a105,x55941)),x55941)+~P105(f326(f326(f234(a1),f2(a1)),x55941))
% 225.13/225.10 [5602]~P105(f326(a193,x56021))+~P105(f326(f326(f234(a1),f2(a1)),x56021))
% 225.13/225.10 [5702]E(f326(f326(f79(a917),f77(a917)),f326(f104(a917),x57021)),f77(a917))+~P105(f326(f326(f235(a1),x57021),a82))
% 225.13/225.10 [5767]E(x57671,f2(a917))+~P105(f326(f326(f235(a917),x57671),f326(a112,f2(a917))))
% 225.13/225.10 [5789]E(x57891,f326(a112,f2(a917)))+~P105(f326(f326(f286(a917),x57891),f326(a112,f2(a917))))
% 225.13/225.10 [5807]E(f326(f326(f3(a917),f326(f104(a917),x58071)),f77(a917)),f2(a917))+~P105(f326(f326(f234(a1),x58071),a82))
% 225.13/225.10 [5808]E(f326(f326(f79(a917),f326(f104(a917),x58081)),f77(a917)),f77(a917))+~P105(f326(f326(f235(a1),x58081),a82))
% 225.13/225.10 [5820]~P40(x58201)+E(f326(f34(a917),f326(f309(a1,a917,a105),x58201)),f326(f34(a1),x58201))
% 225.13/225.10 [5849]~P108(x58491)+E(f236(x58491,f326(f9(x58491,x58491,a913),f234(x58491))),f233(x58491))
% 225.13/225.10 [5850]~P108(x58501)+E(f237(x58501,f326(f9(x58501,x58501,a913),f234(x58501))),f238(x58501))
% 225.13/225.10 [5860]E(f44(a917,f326(a112,f2(a917)),f326(f104(a917),x58601)),f326(a112,f2(a917)))+~P105(f326(a193,f326(f104(a1),x58601)))
% 225.13/225.10 [5869]~P105(f326(f326(f235(a1),f2(a1)),x58691))+P105(f326(f326(f234(a1),f77(a1)),x58691))
% 225.13/225.10 [5870]P105(f326(f326(f235(a1),f2(a1)),x58701))+~P105(f326(f326(f234(a1),f77(a1)),x58701))
% 225.13/225.10 [5881]E(f326(a112,f326(f326(f3(a917),x58811),f77(a917))),x58811)+~P105(f326(f326(f235(a917),f2(a917)),x58811))
% 225.13/225.10 [5937]P105(f326(f326(f235(a917),f2(a917)),f898(x59371)))+~P105(f326(f326(f235(a1),f2(a1)),x59371))
% 225.13/225.10 [5998]E(f44(a1,f326(f104(a1),a97),x59981),f326(f326(f3(a1),x59981),f77(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x59981))
% 225.13/225.10 [6041]~P105(f326(f326(f235(a1),a82),x60411))+P105(f326(f326(f235(a917),f2(a917)),f326(f104(a917),x60411)))
% 225.13/225.10 [6046]E(f326(a22,f809(x60461)),x60461)+~P105(f326(f326(f328(a917),x60461),f241(f925(a917,a913))))
% 225.13/225.10 [6099]P105(f326(f326(f235(a917),f2(a917)),f326(a105,x60991)))+~P105(f326(f326(f235(a1),f2(a1)),x60991))
% 225.13/225.10 [6149]~P105(f326(f326(f235(a917),f2(a917)),x61491))+P105(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x61491)))
% 225.13/225.10 [6185]~P105(f326(f326(f235(a917),f2(a917)),f326(a105,x61851)))+P105(f326(f326(f235(a1),f2(a1)),x61851))
% 225.13/225.10 [6200]~P40(x62001)+E(f326(f309(a917,a1,f100(a1)),f326(f309(a1,a917,a105),x62001)),x62001)
% 225.13/225.10 [6213]P105(f326(f326(f235(a1),a82),x62131))+~P105(f326(f326(f235(a917),f2(a917)),f326(f104(a917),x62131)))
% 225.13/225.10 [6271]P105(f326(f326(f235(a917),f2(a917)),x62711))+~P105(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x62711)))
% 225.13/225.10 [6385]E(f326(f309(a917,a1,f100(a1)),f326(f281(a917),f326(a105,x63851))),f326(f301(a1,f2(a1)),x63851))+~P105(f326(f326(f234(a1),f2(a1)),x63851))
% 225.13/225.10 [6402]~P112(x64021)+P105(f326(f326(f235(x64021),f2(x64021)),f326(f326(f79(x64021),f77(x64021)),f77(x64021))))
% 225.13/225.10 [6452]P105(f326(f326(f235(a917),f326(a112,f2(a917))),f326(a105,x64521)))+~P105(f326(f326(f235(a1),f77(a1)),x64521))
% 225.13/225.10 [6552]E(x65521,f2(a1))+P105(f326(f48(f2(a1),x65521),f326(f326(f251(a1,a1),f2(a1)),f2(a1))))
% 225.13/225.10 [6719]~P105(f326(f326(f235(a917),f326(a112,f2(a917))),f326(a105,x67191)))+P105(f326(f326(f235(a1),f77(a1)),x67191))
% 225.13/225.10 [7149]~P118(x71491)+P37(x71491,f326(f261(f924(x71491,x71491)),f326(f256(x71491,x71491,a913),f235(x71491))))
% 225.13/225.10 [5754]E(f326(f104(a917),f326(f326(f3(a1),x57541),a97)),f326(a112,f326(f104(a917),x57541)))+P105(f326(a193,f326(f104(a1),x57541)))
% 225.13/225.10 [5770]~P36(x57701)+E(f326(f326(f154(a917,a1),f100(a1)),f326(f326(f154(a1,a917),a105),x57701)),x57701)
% 225.13/225.10 [5887]E(f326(f78(a1),f326(f100(a1),f326(a112,f346(x58871)))),x58871)+~P105(f326(f326(f235(a1),x58871),f2(a1)))
% 225.13/225.10 [5897]E(f326(f326(f79(a917),f77(a917)),f326(f104(a917),x58971)),f326(f104(a917),f326(f326(f3(a1),x58971),a97)))+P105(f326(f326(f235(a1),x58971),a82))
% 225.13/225.10 [5939]E(f326(f326(f35(a1),f326(f104(a1),a97)),x59391),f326(f104(a1),a97))+~P105(f326(f326(f235(a1),f2(a1)),x59391))
% 225.13/225.10 [6037]E(f326(f326(f3(a917),f326(f104(a917),x60371)),f77(a917)),f326(f104(a917),f326(f326(f79(a1),x60371),a97)))+P105(f326(f326(f234(a1),x60371),a82))
% 225.13/225.10 [6038]E(f326(f326(f79(a917),f326(f104(a917),x60381)),f77(a917)),f326(f104(a917),f326(f326(f3(a1),x60381),a97)))+P105(f326(f326(f235(a1),x60381),a82))
% 225.13/225.10 [6084]E(f326(a105,f326(f326(f79(a1),f77(a1)),x60841)),f326(a112,f326(a105,x60841)))+~P105(f326(f326(f234(a1),f2(a1)),x60841))
% 225.13/225.10 [6120]E(f326(a112,f326(f326(f3(a917),x61201),f326(a112,f2(a917)))),x61201)+~P105(f326(f326(f235(a917),f2(a917)),x61201))
% 225.13/225.10 [6335]E(f44(a917,f326(a112,f2(a917)),f326(f104(a917),x63351)),f326(a105,f44(a1,f77(a1),f326(f104(a1),x63351))))+P105(f326(a193,f326(f104(a1),x63351)))
% 225.13/225.10 [6378]~P105(f326(f326(f234(a1),a82),x63781))+P105(f326(f326(f234(a1),a82),f326(f326(f79(a1),x63781),x63781)))
% 225.13/225.10 [6379]~P105(f326(f326(f235(a1),a97),x63791))+P105(f326(f326(f234(a1),a97),f326(f326(f79(a1),x63791),x63791)))
% 225.13/225.10 [6380]~P105(f326(f326(f235(a1),a82),x63801))+P105(f326(f326(f235(a1),a82),f326(f326(f79(a1),x63801),x63801)))
% 225.13/225.10 [6381]~P105(f326(f326(f235(a1),a97),x63811))+P105(f326(f326(f235(a1),a97),f326(f326(f79(a1),x63811),x63811)))
% 225.13/225.10 [6565]~P105(f326(f60(x65651),f241(f925(x65651,a913))))+P105(f326(f60(f921(x65651)),f241(f925(f921(x65651),a913))))
% 225.13/225.10 [6649]~P105(f326(f326(f234(a1),f2(a1)),x66491))+P105(f326(f326(f235(a1),f2(a1)),f326(f326(f79(a1),f77(a1)),x66491)))
% 225.13/225.10 [6656]E(f326(f250(a1,a1),f46(f77(a1),f326(f104(a1),x66561))),f326(f326(f35(a1),f77(a1)),f326(f104(a1),x66561)))+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x66561)))
% 225.13/225.10 [6678]E(f326(f255(a1,a1),f46(f77(a1),f326(f104(a1),x66781))),f44(a1,f77(a1),f326(f104(a1),x66781)))+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x66781)))
% 225.13/225.10 [6690]P105(f326(f60(x66901),f241(f925(x66901,a913))))+~P105(f326(f60(f921(x66901)),f241(f925(f921(x66901),a913))))
% 225.13/225.10 [6720]P105(f326(f326(f234(a1),a82),x67201))+~P105(f326(f326(f234(a1),a82),f326(f326(f79(a1),x67201),x67201)))
% 225.13/225.10 [6721]P105(f326(f326(f235(a1),a82),x67211))+~P105(f326(f326(f235(a1),a82),f326(f326(f79(a1),x67211),x67211)))
% 225.13/225.10 [6722]P105(f326(f326(f235(a1),a97),x67221))+~P105(f326(f326(f234(a1),a97),f326(f326(f79(a1),x67221),x67221)))
% 225.13/225.10 [6723]P105(f326(f326(f235(a1),a97),x67231))+~P105(f326(f326(f235(a1),a97),f326(f326(f79(a1),x67231),x67231)))
% 225.13/225.10 [7040]~P105(f326(f60(x70401),f241(f925(x70401,a913))))+P105(f326(f326(f235(a917),f2(a917)),f326(f34(x70401),f241(f925(x70401,a913)))))
% 225.13/225.10 [7634]P105(f326(f60(a917),x76341))+~P105(f326(f60(a1),f326(f309(a917,a1,f100(a1)),x76341)))
% 225.13/225.10 [5677]~E(a97,x56771)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56771),x56771)),a97),a97)
% 225.13/225.10 [5678]~E(x56781,a97)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56781),x56781)),a97),a97)
% 225.13/225.10 [6208]E(x62081,a97)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62081),x62081)),a97),a97)
% 225.13/225.10 [6209]E(a97,x62091)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62091),x62091)),a97),a97)
% 225.13/225.10 [6618]~E(f326(f104(a917),x66181),f2(a917))+P105(f326(a193,f326(f104(a1),f326(f326(f79(a1),x66181),a97))))
% 225.13/225.10 [6970]~P105(f326(a193,f326(f104(a1),x69701)))+P105(f326(a193,f326(f104(a1),f326(f326(f79(a1),x69701),x69701))))
% 225.13/225.10 [6971]~P105(f326(f326(f234(a1),x69711),a82))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x69711),x69711)),a82))
% 225.13/225.10 [6972]~P105(f326(f326(f234(a1),x69721),a97))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x69721),x69721)),a97))
% 225.13/225.10 [6973]~P105(f326(f326(f235(a1),x69731),a82))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x69731),x69731)),a82))
% 225.13/225.10 [6974]~P105(f326(f326(f234(a1),x69741),a97))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x69741),x69741)),a97))
% 225.13/225.10 [7294]E(f326(f104(a917),x72941),f2(a917))+~P105(f326(a193,f326(f104(a1),f326(f326(f79(a1),x72941),a97))))
% 225.13/225.10 [7549]~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x75491)))+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),f326(f326(f79(a1),x75491),x75491))))
% 225.13/225.10 [7550]P105(f326(a193,f326(f104(a1),x75501)))+~P105(f326(a193,f326(f104(a1),f326(f326(f79(a1),x75501),x75501))))
% 225.13/225.10 [7551]P105(f326(f326(f234(a1),x75511),a82))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x75511),x75511)),a82))
% 225.13/225.10 [7552]P105(f326(f326(f234(a1),x75521),a97))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x75521),x75521)),a97))
% 225.13/225.10 [7553]P105(f326(f326(f234(a1),x75531),a97))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x75531),x75531)),a97))
% 225.13/225.10 [7554]P105(f326(f326(f235(a1),x75541),a82))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x75541),x75541)),a82))
% 225.13/225.10 [7914]E(f326(a108,f489(x79141)),x79141)+~P105(f326(f326(f328(f925(f924(a917,a917),a913)),x79141),a98))
% 225.13/225.10 [6539]~P92(x65391)+E(f326(f104(x65391),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(x65391))
% 225.13/225.10 [7020]~P105(f326(a193,f326(f104(a1),x70201)))+E(f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x70201),x70201)),a97)),f2(a917))
% 225.13/225.10 [8088]~P105(f326(f326(f235(a1),f326(f104(a1),x80881)),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f49(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f104(a1),x80881))))),f326(f326(f35(a1),f77(a1)),f326(f104(a1),x80881)))
% 225.13/225.10 [8101]~P105(f326(f326(f235(a1),f326(f104(a1),x81011)),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f49(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f104(a1),x81011))))),f44(a1,f77(a1),f326(f104(a1),x81011)))
% 225.13/225.10 [8150]~P105(f326(f326(f234(a1),a82),x81501))+P105(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81501),x81501)),a97)))
% 225.13/225.10 [8151]~P105(f326(f326(f234(a1),a97),x81511))+P105(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81511),x81511)),a97)))
% 225.13/225.10 [8152]~P105(f326(f326(f234(a1),a82),x81521))+P105(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81521),x81521)),a97)))
% 225.13/225.10 [8153]~P105(f326(f326(f235(a1),a97),x81531))+P105(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81531),x81531)),a97)))
% 225.13/225.10 [8450]~P92(x84501)+~P28(x84501,f326(f104(x84501),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 225.13/225.10 [8631]P105(f326(f326(f234(a1),a82),x86311))+~P105(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86311),x86311)),a97)))
% 225.13/225.10 [8632]P105(f326(f326(f234(a1),a82),x86321))+~P105(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86321),x86321)),a97)))
% 225.13/225.10 [8633]P105(f326(f326(f234(a1),a97),x86331))+~P105(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86331),x86331)),a97)))
% 225.13/225.10 [8634]P105(f326(f326(f235(a1),a97),x86341))+~P105(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86341),x86341)),a97)))
% 225.13/225.10 [8953]E(f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x89531),x89531)),a97)),f326(f326(f85(a917,a917),f326(f104(a917),x89531)),f326(f326(f10(a917,a917,a917),a112),f326(f326(f20(a917,a917,a917),f79(a917)),f7(a917)))))+P105(f326(a193,f326(f104(a1),x89531)))
% 225.13/225.10 [9815]E(x98151,f188(f925(f924(a917,a917),a913)))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x98151),f188(f925(f924(a917,a917),a913)))),a68))
% 225.13/225.10 [8880]~P105(f326(a193,f326(f104(a1),x88801)))+P105(f326(a193,f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88801),x88801)),a97))))
% 225.13/225.10 [8881]~P105(f326(f326(f235(a1),x88811),a82))+P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88811),x88811)),a97)),a82))
% 225.13/225.10 [8882]~P105(f326(f326(f234(a1),x88821),a97))+P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88821),x88821)),a97)),a97))
% 225.13/225.10 [8883]~P105(f326(f326(f235(a1),x88831),a82))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88831),x88831)),a97)),a82))
% 225.13/225.10 [8884]~P105(f326(f326(f235(a1),x88841),a97))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88841),x88841)),a97)),a97))
% 225.13/225.10 [8994]~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x89941)))+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89941),x89941)),a97))))
% 225.13/225.10 [9152]~P92(x91521)+E(f326(f326(f79(x91521),f77(x91521)),f77(x91521)),f326(f104(x91521),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 225.13/225.10 [9305]P105(f326(a193,f326(f104(a1),x93051)))+~P105(f326(a193,f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93051),x93051)),a97))))
% 225.13/225.10 [9306]P105(f326(f326(f234(a1),x93061),a97))+~P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93061),x93061)),a97)),a97))
% 225.13/225.10 [9307]P105(f326(f326(f235(a1),x93071),a82))+~P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93071),x93071)),a97)),a82))
% 225.13/225.10 [9308]P105(f326(f326(f235(a1),x93081),a82))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93081),x93081)),a97)),a82))
% 225.13/225.10 [9309]P105(f326(f326(f235(a1),x93091),a97))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93091),x93091)),a97)),a97))
% 225.13/225.10 [9860]~P105(f326(f60(f924(a917,a917)),x98601))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f188(f925(f924(a917,a917),a913))),x98601)),a69))
% 225.13/225.10 [9639]~P145(x96391)+E(f326(f326(f243(x96391),f77(x96391)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96391))
% 225.13/225.10 [9640]~P145(x96401)+E(f326(f326(f243(x96401),f2(x96401)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96401))
% 225.13/225.10 [10085]~P105(f326(f326(f235(a917),f77(a917)),x100851))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f35(a917),x100851),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.10 [10091]~P105(f326(f326(f235(a917),f2(a917)),x100911))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f35(a917),f326(f326(f79(a917),x100911),f77(a917))),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.10 [10130]~E(f44(a917,x101301,f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a917))+P105(f326(f326(f235(a917),f2(a917)),f44(a917,x101301,f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.10 [10160]E(f44(a917,x101601,f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a917))+~P105(f326(f326(f235(a917),f2(a917)),f44(a917,x101601,f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.10 [4796]~P7(x47961,x47962)+P43(x47961,x47962)
% 225.13/225.10 [4797]~P37(x47971,x47972)+P57(x47971,x47972)
% 225.13/225.10 [4798]~P44(x47981,x47982)+P57(x47981,x47982)
% 225.13/225.10 [4800]~P7(x48001,x48002)+P49(x48001,x48002)
% 225.13/225.10 [4802]~P15(x48021,x48022)+P49(x48021,x48022)
% 225.13/225.10 [4804]~P7(x48041,x48042)+P50(x48041,x48042)
% 225.13/225.10 [4806]~P15(x48061,x48062)+P50(x48061,x48062)
% 225.13/225.10 [4807]~P7(x48071,x48072)+P15(x48071,x48072)
% 225.13/225.10 [4757]~E(x47571,x47572)+E(f268(x47571,x47572),f77(a99))
% 225.13/225.10 [4760]E(f216(x47601,x47602),x47601)+~E(x47602,f2(a917))
% 225.13/225.10 [4767]~E(x47672,f113(x47671))+E(f152(x47671,x47672),f113(x47671))
% 225.13/225.10 [4786]~E(f152(x47862,x47861),f113(x47862))+E(x47861,f113(x47862))
% 225.13/225.10 [4811]~P1(x48112)+P1(f925(x48111,x48112))
% 225.13/225.10 [4812]~P106(x48122)+P106(f925(x48121,x48122))
% 225.13/225.10 [4813]~P107(x48132)+P107(f925(x48131,x48132))
% 225.13/225.10 [4814]~P109(x48142)+P109(f925(x48141,x48142))
% 225.13/225.10 [4815]~P65(x48152)+P65(f925(x48151,x48152))
% 225.13/225.10 [4816]~P94(x48162)+P94(f925(x48161,x48162))
% 225.13/225.10 [4817]~P87(x48172)+P87(f925(x48171,x48172))
% 225.13/225.10 [4818]~P97(x48182)+P96(f925(x48181,x48182))
% 225.13/225.10 [4819]~P99(x48192)+P98(f925(x48191,x48192))
% 225.13/225.10 [4820]~P99(x48202)+P99(f925(x48201,x48202))
% 225.13/225.10 [4821]~P99(x48212)+P102(f925(x48211,x48212))
% 225.13/225.10 [4822]~P100(x48222)+P100(f925(x48221,x48222))
% 225.13/225.10 [4823]~P5(x48232)+P5(f925(x48231,x48232))
% 225.13/225.10 [4824]~P117(x48242)+P117(f925(x48241,x48242))
% 225.13/225.10 [4825]~P97(x48252)+P101(f925(x48251,x48252))
% 225.13/225.10 [4826]~P97(x48262)+P97(f925(x48261,x48262))
% 225.13/225.10 [4839]E(x48391,x48392)+~E(f326(a112,x48391),f326(a112,x48392))
% 225.13/225.10 [4840]E(x48401,x48402)+~E(f326(a108,x48401),f326(a108,x48402))
% 225.13/225.10 [4841]E(x48411,x48412)+~E(f326(a5,x48411),f326(a5,x48412))
% 225.13/225.10 [4843]E(x48431,x48432)+~E(f326(a22,x48431),f326(a22,x48432))
% 225.13/225.10 [4896]P39(x48961,x48962)+~E(f706(x48962,x48961),f707(x48962,x48961))
% 225.13/225.10 [4926]~P57(x49261,x49262)+P39(x49261,f306(x49261,x49262))
% 225.13/225.10 [4927]~P51(x49271,x49272)+P51(x49271,f306(x49271,x49272))
% 225.13/225.10 [4940]~P3(x49401)+E(f44(x49401,x49402,x49402),f2(x49401))
% 225.13/225.10 [4974]~P37(x49741,x49742)+P37(f918(x49741),f146(x49741,x49742))
% 225.13/225.10 [4975]~P37(x49751,x49752)+P37(f918(x49751),f145(x49751,x49752))
% 225.13/225.10 [4976]~P38(x49761,x49762)+P38(f918(x49761),f147(x49761,x49762))
% 225.13/225.10 [4977]~P38(x49771,x49772)+P38(f918(x49771),f158(x49771,x49772))
% 225.13/225.10 [4978]~P51(x49781,x49782)+P51(f918(x49781),f158(x49781,x49782))
% 225.13/225.10 [5075]~P37(x50751,x50752)+P37(f925(x50751,a913),f319(x50751,x50752))
% 225.13/225.10 [5076]~P37(x50761,x50762)+P37(f925(x50761,a913),f317(x50761,x50762))
% 225.13/225.10 [5206]~P6(x52061)+P40(f302(a1,x52061,x52062))
% 225.13/225.10 [5308]~P37(x53081,x53082)+P59(x53081,f66(x53081,x53081,x53082))
% 225.13/225.10 [5814]~P77(x58141)+P25(x58141,x58141,f78(x58141),x58142)
% 225.13/225.10 [4781]~E(x47812,f113(x47811))+E(f326(f167(x47811),x47812),f113(x47811))
% 225.13/225.10 [4782]~E(x47822,f113(x47821))+E(f326(f168(x47821),x47822),f113(x47821))
% 225.13/225.10 [4845]E(x48451,f326(a105,x48452))+~E(f326(f100(a1),x48451),x48452)
% 225.13/225.10 [4848]E(x48481,f113(x48482))+~E(f326(f167(x48482),x48481),f113(x48482))
% 225.13/225.10 [4849]E(x48491,f113(x48492))+~E(f326(f168(x48492),x48491),f113(x48492))
% 225.13/225.10 [4865]~P92(x48651)+E(f326(f104(x48651),x48652),f326(f103(x48651),x48652))
% 225.13/225.10 [4873]~P2(x48731)+P105(f326(f60(x48731),x48732))
% 225.13/225.10 [4881]~E(f667(x48812,x48811),f113(x48811))+E(f179(x48811,x48812),f113(f918(x48811)))
% 225.13/225.10 [4890]~E(x48902,f113(x48901))+E(f326(f172(x48901),x48902),f188(f925(x48901,a913)))
% 225.13/225.10 [4891]~E(x48912,f113(x48911))+E(f188(f925(x48911,a913)),f326(f172(x48911),x48912))
% 225.13/225.10 [4893]E(x48931,x48932)+~E(f326(f100(a1),x48931),f326(f100(a1),x48932))
% 225.13/225.10 [4897]E(f214(x48971,x48972),f2(a917))+P105(f326(f60(x48971),x48972))
% 225.13/225.10 [4915]~P113(x49151)+E(f81(x49151,f81(x49151,x49152)),f81(x49151,x49152))
% 225.13/225.10 [4929]~P79(x49291)+E(f326(f326(f243(x49291),x49292),f77(a917)),x49292)
% 225.13/225.10 [4930]~P120(x49301)+E(f326(f326(f243(x49301),x49302),f77(a917)),x49302)
% 225.13/225.10 [4931]~P51(x49311,x49312)+E(f326(f285(x49311,x49311),x49312),x49312)
% 225.13/225.10 [4935]E(x49351,x49352)+E(f268(x49351,x49352),f326(f326(f79(a99),x49352),f77(a99)))
% 225.13/225.10 [4938]E(f326(f34(x49381),x49382),f2(a917))+P105(f326(f60(x49381),x49382))
% 225.13/225.10 [4941]~E(f152(x49411,x49412),x49412)+P105(f326(f137(x49411),x49412))
% 225.13/225.10 [4944]~P74(x49441)+E(f326(f326(f3(x49441),x49442),f2(x49441)),x49442)
% 225.13/225.10 [4945]~P69(x49451)+E(f326(f326(f80(x49451),x49452),f77(x49451)),x49452)
% 225.13/225.10 [4946]~P79(x49461)+E(f326(f326(f80(x49461),x49462),f77(x49461)),x49462)
% 225.13/225.10 [4947]~P120(x49471)+E(f326(f326(f80(x49471),x49472),f77(x49471)),x49472)
% 225.13/225.10 [4948]~P70(x49481)+E(f326(f326(f79(x49481),x49482),f2(x49481)),x49482)
% 225.13/225.10 [4949]~P120(x49491)+E(f326(f326(f79(x49491),x49492),f2(x49491)),x49492)
% 225.13/225.10 [4950]~P80(x49501)+E(f326(f326(f79(x49501),x49502),f2(x49501)),x49502)
% 225.13/225.10 [4951]~P124(x49511)+E(f326(f326(f290(x49511),x49512),f77(x49511)),x49512)
% 225.13/225.10 [4952]~P3(x49521)+E(f326(f326(f35(x49521),x49522),f77(x49521)),x49522)
% 225.13/225.10 [4953]~P96(x49531)+E(f326(f326(f101(x49531),x49532),f188(x49531)),x49532)
% 225.13/225.10 [4954]~P101(x49541)+E(f326(f326(f102(x49541),x49542),f241(x49541)),x49542)
% 225.13/225.10 [4955]~P120(x49551)+E(f326(f326(f243(x49551),x49552),f2(a917)),f77(x49551))
% 225.13/225.10 [4956]~P116(x49561)+E(f326(f326(f243(x49561),x49562),f2(a917)),f77(x49561))
% 225.13/225.10 [4957]~E(x49572,f188(f925(x49571,a913)))+E(f326(f34(x49571),x49572),f2(a917))
% 225.13/225.10 [4968]~P3(x49681)+E(f44(x49681,x49682,f2(x49681)),x49682)
% 225.13/225.10 [4979]~P120(x49791)+E(f326(f326(f80(x49791),x49792),f2(x49791)),f2(x49791))
% 225.13/225.10 [4980]~P132(x49801)+E(f326(f326(f80(x49801),x49802),f2(x49801)),f2(x49801))
% 225.13/225.10 [4981]~P125(x49811)+E(f326(f326(f290(x49811),x49812),f2(x49811)),f2(x49811))
% 225.13/225.10 [4982]~P3(x49821)+E(f326(f326(f35(x49821),x49822),f2(x49821)),f2(x49821))
% 225.13/225.10 [4983]~P101(x49831)+E(f326(f326(f101(x49831),x49832),f241(x49831)),f241(x49831))
% 225.13/225.10 [4984]~P96(x49841)+E(f326(f326(f102(x49841),x49842),f188(x49841)),f188(x49841))
% 225.13/225.10 [4986]~P3(x49861)+E(f44(x49861,x49862,f77(x49861)),f2(x49861))
% 225.13/225.10 [4987]~P3(x49871)+E(f44(x49871,f2(x49871),x49872),f2(x49871))
% 225.13/225.10 [5016]E(x50161,f2(a917))+E(f54(x50162,x50161,f113(x50162)),f113(f918(x50162)))
% 225.13/225.10 [5039]P51(x50391,x50392)+~E(f326(f285(x50391,x50391),x50392),x50392)
% 225.13/225.10 [5040]P37(x50401,x50402)+~E(f582(x50402,x50401),f188(f925(x50401,a913)))
% 225.13/225.10 [5041]E(x50411,f113(x50412))+~E(f326(f172(x50412),x50411),f188(f925(x50412,a913)))
% 225.13/225.10 [5042]E(x50421,f113(x50422))+~E(f188(f925(x50422,a913)),f326(f172(x50422),x50421))
% 225.13/225.10 [5045]~E(x50451,x50452)+P105(f326(f326(a323,x50451),x50452))
% 225.13/225.10 [5055]P105(x50551)+P105(f326(f326(a329,x50551),x50552))
% 225.13/225.10 [5056]E(x50561,f113(x50562))+E(f326(f326(f164(x50562),x50561),f2(a917)),f326(f141(x50562),x50561))
% 225.13/225.10 [5059]E(f152(x50591,x50592),x50592)+~P105(f326(f137(x50591),x50592))
% 225.13/225.10 [5066]~P105(x50662)+P105(f326(f326(a329,x50661),x50662))
% 225.13/225.10 [5067]~P105(x50672)+P105(f326(f326(a325,x50671),x50672))
% 225.13/225.10 [5068]~P105(x50681)+P105(f326(f326(a325,x50681),x50682))
% 225.13/225.10 [5078]~E(f668(x50782,x50781),f672(x50782,x50781))+P105(f326(f137(x50781),x50782))
% 225.13/225.10 [5085]E(f326(f261(x50851),x50852),f188(f925(x50851,a913)))+P105(f326(x50852,f539(x50852)))
% 225.13/225.10 [5086]E(f188(f925(x50861,a913)),f326(f261(x50861),x50862))+P105(f326(x50862,f540(x50862)))
% 225.13/225.10 [5159]~P113(x51591)+E(f326(f326(f80(x51591),x51592),f81(x51591,x51592)),f326(f75(x51591),x51592))
% 225.13/225.10 [5170]~E(x51701,f2(a1))+E(f45(x51701,x51702),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 225.13/225.10 [5202]~P57(x52021,x52022)+P57(x52021,f326(f285(x52021,x52021),x52022))
% 225.13/225.10 [5203]~P38(x52031,x52032)+P38(x52031,f326(f285(x52031,x52031),x52032))
% 225.13/225.10 [5204]~P39(x52041,x52042)+P39(x52041,f326(f285(x52041,x52041),x52042))
% 225.13/225.10 [5205]~P51(x52051,x52052)+P51(x52051,f326(f285(x52051,x52051),x52052))
% 225.13/225.10 [5227]E(x52271,x52272)+~P105(f326(f326(a323,x52271),x52272))
% 225.13/225.10 [5238]P105(x52381)+~P105(f326(f326(a324,x52382),x52381))
% 225.13/225.10 [5239]P105(x52391)+~P105(f326(f326(a324,x52391),x52392))
% 225.13/225.10 [5244]~P117(x52441)+P105(f326(f326(f234(x52441),x52442),f241(x52441)))
% 225.13/225.10 [5245]~P120(x52451)+P105(f326(f326(f286(x52451),x52452),f2(x52451)))
% 225.13/225.10 [5249]E(x52491,x52492)+~E(f326(x52491,f439(x52492,x52491)),f326(x52492,f439(x52492,x52491)))
% 225.13/225.10 [5280]E(x52801,f2(a917))+E(f216(x52801,f44(a917,x52802,x52801)),f216(x52802,x52801))
% 225.13/225.10 [5285]~P108(x52851)+P13(x52851,f326(f326(f151(x52851),x52852),f113(x52851)))
% 225.13/225.10 [5287]E(x52871,f2(a1))+P105(f326(f48(x52872,x52871),f45(x52872,x52871)))
% 225.13/225.10 [5303]~P15(x53032,x53031)+P105(f326(f326(x53031,f801(x53031)),f801(x53031)))
% 225.13/225.10 [5306]~E(x53061,x53062)+P105(f326(f326(f235(a917),x53061),f326(a112,x53062)))
% 225.13/225.10 [5316]~E(x53161,f2(a917))+P105(f326(f326(f235(a917),x53161),f326(a112,x53162)))
% 225.13/225.10 [5326]P105(f326(x53261,x53262))+P105(f326(f326(f234(a1),f2(a1)),f334(x53261)))
% 225.13/225.10 [5389]E(f326(f326(f308(x53892),f337(x53892,x53891)),f370(x53892,x53891)),x53891)+E(x53891,f188(f925(x53892,a913)))
% 225.13/225.10 [5390]P57(x53901,x53902)+~P57(x53901,f326(f285(x53901,x53901),x53902))
% 225.13/225.10 [5391]P38(x53911,x53912)+~P38(x53911,f326(f285(x53911,x53911),x53912))
% 225.13/225.10 [5392]P39(x53921,x53922)+~P39(x53921,f326(f285(x53921,x53921),x53922))
% 225.13/225.10 [5393]P51(x53931,x53932)+~P51(x53931,f326(f285(x53931,x53931),x53932))
% 225.13/225.10 [5396]~E(f44(a917,x53962,x53961),f2(a917))+E(f326(f326(f80(a917),x53961),f338(x53961,x53962)),x53962)
% 225.13/225.10 [5397]~E(f44(a1,x53972,x53971),f2(a1))+E(f326(f326(f80(a1),x53971),f877(x53971,x53972)),x53972)
% 225.13/225.10 [5423]~P105(f326(x54231,x54232))+P105(f326(f326(f234(a1),f2(a1)),f333(x54231)))
% 225.13/225.10 [5434]E(f326(f326(f3(a917),f326(a105,x54341)),f326(a105,x54342)),f326(a105,x54341))+~P105(f326(a193,x54342))
% 225.13/225.10 [5463]E(f271(x54631,x54632),f77(a99))+~P105(f326(f326(f234(a99),x54631),f77(a99)))
% 225.13/225.10 [5560]E(f326(f326(f164(x55601),x55602),f668(x55602,x55601)),f326(f326(f164(x55601),x55602),f672(x55602,x55601)))+P105(f326(f137(x55601),x55602))
% 225.13/225.10 [5603]~P105(f326(x56031,f89(x56032,x56031)))+P105(f326(x56031,f598(x56032,x56031)))
% 225.13/225.10 [5667]P59(x56671,x56672)+~P105(f326(f314(x56671,x56672),f554(x56672,x56671)))
% 225.13/225.10 [5811]~P15(x58112,x58111)+P105(f326(f326(x58111,f802(x58111,x58112)),f802(x58111,x58112)))
% 225.13/225.10 [5812]~P15(x58122,x58121)+P105(f326(f326(x58121,f805(x58121,x58122)),f805(x58121,x58122)))
% 225.13/225.10 [5821]~E(f326(a112,f44(a917,x58211,x58212)),x58212)+E(f44(a917,f326(a112,x58211),x58212),f2(a917))
% 225.13/225.10 [5876]P37(x58761,x58762)+P105(f326(f326(f328(x58761),f601(x58762,x58761)),f602(x58762,x58761)))
% 225.13/225.10 [5883]~P92(x58831)+P105(f326(f326(f328(x58831),f326(f104(x58831),x58832)),f110(x58831)))
% 225.13/225.10 [5884]~P141(x58841)+P105(f326(f326(f328(x58841),f326(f100(x58841),x58842)),f110(x58841)))
% 225.13/225.10 [5885]~P145(x58851)+P105(f326(f326(f328(x58851),f326(f100(x58851),x58852)),f186(x58851)))
% 225.13/225.10 [5886]~P141(x58861)+P105(f326(f326(f328(x58861),f326(f103(x58861),x58862)),f110(x58861)))
% 225.13/225.10 [6026]~P38(x60261,x60262)+E(f326(f326(f288(x60261,x60261,x60261),x60262),f306(x60261,x60262)),x60262)
% 225.13/225.10 [6040]E(f326(a112,f44(a917,x60401,x60402)),x60402)+E(f44(a917,f326(a112,x60401),x60402),f326(a112,f44(a917,x60401,x60402)))
% 225.13/225.10 [6464]P37(x64641,x64642)+~P105(f326(f326(f328(x64641),f555(x64642,x64641)),f315(x64641,x64642)))
% 225.13/225.10 [6502]~P112(x65021)+~P105(f326(f326(f235(x65021),f326(f100(x65021),x65022)),f2(x65021)))
% 225.13/225.10 [6503]~P84(x65031)+~P105(f326(f326(f235(x65031),f326(f75(x65031),x65032)),f2(x65031)))
% 225.13/225.10 [6535]E(x65351,f188(f925(x65352,a913)))+~P105(f326(f326(f328(x65352),f337(x65352,x65351)),f370(x65352,x65351)))
% 225.13/225.10 [6592]P105(f326(f326(f235(a1),x65921),f44(a1,x65922,x65921)))+~P105(f326(f326(f235(a1),x65921),f2(a1)))
% 225.13/225.10 [6692]E(f326(f326(f308(a917),f326(a112,x66921)),f302(a917,x66922,x66921)),f302(a917,x66922,f326(a112,x66921)))+~P105(f326(f326(f234(a917),x66922),f326(a112,x66921)))
% 225.13/225.10 [6783]~P108(x67831)+P13(x67831,f150(x67831,x67831,f7(x67831),x67832))
% 225.13/225.10 [6913]E(f326(f167(x69131),x69132),x69132)+~P105(f326(f326(f234(a917),f326(f189(f918(x69131)),x69132)),f77(a917)))
% 225.13/225.10 [6934]~P84(x69341)+P105(f326(f326(f234(x69341),f326(f78(x69341),f326(f75(x69341),x69342))),f2(x69341)))
% 225.13/225.10 [6966]~P37(x69661,x69662)+P37(x69661,f326(f326(f288(x69661,x69661,x69661),x69662),f306(x69661,x69662)))
% 225.13/225.10 [6967]~P51(x69671,x69672)+P51(x69671,f326(f326(f288(x69671,x69671,x69671),x69672),f306(x69671,x69672)))
% 225.13/225.10 [7188]~P105(f326(f326(f235(a1),x71882),f2(a1)))+P105(f326(f326(f234(a1),f44(a1,x71881,x71882)),f2(a1)))
% 225.13/225.10 [7591]~P145(x75911)+E(f190(x75911,f326(f326(f9(x75911,x75911,x75911),f79(x75911)),f77(x75911)),x75912,f2(x75911)),f326(f100(x75911),x75912))
% 225.13/225.10 [7620]~P128(x76201)+~P105(f326(f326(f235(x76201),f326(f326(f80(x76201),x76202),x76202)),f2(x76201)))
% 225.13/225.10 [10252]~P113(x102521)+~P105(f326(f326(f235(x102521),f326(f326(f243(x102521),x102522),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102521)))
% 225.13/225.10 [4846]~E(x48462,f113(x48461))+E(f326(f189(f918(x48461)),x48462),f2(a917))
% 225.13/225.10 [4882]~E(x48821,f2(a917))+E(f326(f326(f79(a917),x48821),x48822),x48822)
% 225.13/225.10 [4883]~E(x48832,f2(a917))+E(f326(f326(f80(a917),x48831),x48832),f2(a917))
% 225.13/225.10 [4885]~E(x48851,f2(a917))+E(f326(f326(f80(a917),x48851),x48852),f2(a917))
% 225.13/225.10 [4886]~E(x48862,f2(a1))+E(f326(f326(f35(a1),x48861),x48862),f2(a1))
% 225.13/225.10 [4887]~E(x48872,f2(a917))+E(f326(f326(f243(a917),x48871),x48872),f77(a917))
% 225.13/225.10 [4898]E(x48981,f113(x48982))+~E(f326(f189(f918(x48982)),x48981),f2(a917))
% 225.13/225.10 [4900]~P95(x49001)+E(f326(f326(f80(x49001),x49002),x49002),x49002)
% 225.13/225.10 [4902]~P108(x49021)+E(f326(f326(f238(x49021),x49022),x49022),x49022)
% 225.13/225.10 [4904]~P108(x49041)+E(f326(f326(f233(x49041),x49042),x49042),x49042)
% 225.13/225.10 [4906]~P98(x49061)+E(f326(f326(f101(x49061),x49062),x49062),x49062)
% 225.13/225.10 [4907]~P99(x49071)+E(f326(f326(f101(x49071),x49072),x49072),x49072)
% 225.13/225.10 [4908]~P99(x49081)+E(f326(f326(f102(x49081),x49082),x49082),x49082)
% 225.13/225.10 [4910]~P102(x49101)+E(f326(f326(f102(x49101),x49102),x49102),x49102)
% 225.13/225.10 [4928]~P74(x49281)+E(f326(f326(f3(x49281),x49282),x49282),f2(x49281))
% 225.13/225.10 [4942]~P74(x49421)+E(f326(f78(x49421),f326(f78(x49421),x49422)),x49422)
% 225.13/225.10 [4943]~P94(x49431)+E(f326(f78(x49431),f326(f78(x49431),x49432)),x49432)
% 225.13/225.10 [4960]~E(x49602,f2(a917))+E(f326(f326(f243(a917),x49601),x49602),f326(a112,f2(a917)))
% 225.13/225.10 [4995]~P69(x49951)+E(f326(f326(f80(x49951),f77(x49951)),x49952),x49952)
% 225.13/225.10 [4996]~P79(x49961)+E(f326(f326(f80(x49961),f77(x49961)),x49962),x49962)
% 225.13/225.10 [4997]~P120(x49971)+E(f326(f326(f80(x49971),f77(x49971)),x49972),x49972)
% 225.13/225.10 [4998]~P70(x49981)+E(f326(f326(f79(x49981),f2(x49981)),x49982),x49982)
% 225.13/225.10 [4999]~P120(x49991)+E(f326(f326(f79(x49991),f2(x49991)),x49992),x49992)
% 225.13/225.10 [5000]~P80(x50001)+E(f326(f326(f79(x50001),f2(x50001)),x50002),x50002)
% 225.13/225.10 [5001]~P96(x50011)+E(f326(f326(f101(x50011),f188(x50011)),x50012),x50012)
% 225.13/225.10 [5002]~P101(x50021)+E(f326(f326(f102(x50021),f241(x50021)),x50022),x50022)
% 225.13/225.10 [5020]~P120(x50201)+E(f326(f326(f80(x50201),f2(x50201)),x50202),f2(x50201))
% 225.13/225.10 [5021]~P132(x50211)+E(f326(f326(f80(x50211),f2(x50211)),x50212),f2(x50211))
% 225.13/225.10 [5022]~P124(x50221)+E(f326(f326(f290(x50221),f2(x50221)),x50222),f2(x50221))
% 225.13/225.10 [5023]~P3(x50231)+E(f326(f326(f35(x50231),f2(x50231)),x50232),f2(x50231))
% 225.13/225.10 [5024]~P79(x50241)+E(f326(f326(f243(x50241),f77(x50241)),x50242),f77(x50241))
% 225.13/225.10 [5025]~P101(x50251)+E(f326(f326(f101(x50251),f241(x50251)),x50252),f241(x50251))
% 225.13/225.10 [5026]~P96(x50261)+E(f326(f326(f102(x50261),f188(x50261)),x50262),f188(x50261))
% 225.13/225.10 [5034]E(x50341,f113(x50342))+E(f144(x50342,f326(f168(x50342),x50341)),f326(f141(x50342),x50341))
% 225.13/225.10 [5035]E(x50351,f113(x50352))+E(f326(f141(x50352),f326(f168(x50352),x50351)),f144(x50352,x50351))
% 225.13/225.10 [5036]E(x50361,f2(a917))+~E(f326(f326(f79(a917),x50362),x50361),x50362)
% 225.13/225.10 [5043]~P92(x50431)+E(f326(f103(x50431),f326(f104(a1),x50432)),f326(f104(x50431),x50432))
% 225.13/225.10 [5044]~P141(x50441)+E(f326(f103(x50441),f326(f100(a1),x50442)),f326(f100(x50441),x50442))
% 225.13/225.10 [5051]E(x50511,f77(a917))+~E(f326(f326(f80(a917),x50512),x50511),f77(a917))
% 225.13/225.10 [5052]E(x50521,f77(a917))+~E(f326(f326(f80(a917),x50521),x50522),f77(a917))
% 225.13/225.10 [5053]E(x50531,f2(a917))+~E(f326(f326(f79(a917),x50532),x50531),f2(a917))
% 225.13/225.10 [5054]E(x50541,f2(a917))+~E(f326(f326(f79(a917),x50541),x50542),f2(a917))
% 225.13/225.10 [5071]~P113(x50711)+E(f326(f75(x50711),f326(f100(x50711),x50712)),f326(f100(x50711),x50712))
% 225.13/225.10 [5072]~P84(x50721)+E(f326(f75(x50721),f326(f75(x50721),x50722)),f326(f75(x50721),x50722))
% 225.13/225.10 [5073]~P84(x50731)+E(f326(f75(x50731),f326(f78(x50731),x50732)),f326(f75(x50731),x50732))
% 225.13/225.10 [5074]~P70(x50741)+E(f326(f165(x50741),f326(f168(x50741),x50742)),f326(f165(x50741),x50742))
% 225.13/225.10 [5079]~E(x50791,f326(a112,f2(a917)))+E(f326(f326(f243(a917),x50791),x50792),f326(a112,f2(a917)))
% 225.13/225.10 [5088]~P74(x50881)+E(f326(f326(f3(x50881),f2(x50881)),x50882),f326(f78(x50881),x50882))
% 225.13/225.10 [5089]~E(x50892,f2(a917))+E(f139(a917,f326(f301(a917,x50891),x50892)),f113(a917))
% 225.13/225.10 [5098]~P92(x50981)+E(f326(f326(f79(x50981),x50982),f326(f104(x50981),a82)),x50982)
% 225.13/225.10 [5099]E(x50991,f2(a1))+E(f46(f326(f75(a1),x50992),f326(f75(a1),x50991)),f52(x50992,x50991))
% 225.13/225.10 [5115]~E(x51151,x51152)+P105(f326(f326(f234(a917),x51151),x51152))
% 225.13/225.10 [5119]~E(x51191,x51192)+P105(f326(f326(f286(a917),x51191),x51192))
% 225.13/225.10 [5126]~E(x51261,f2(a99))+E(f326(f326(f79(a917),f326(a22,x51261)),x51262),x51262)
% 225.13/225.10 [5140]~P6(x51401)+P6(f326(f326(f243(a1),x51401),x51402))
% 225.13/225.10 [5141]~P74(x51411)+E(f326(f326(f79(x51411),x51412),f326(f78(x51411),x51412)),f2(x51411))
% 225.13/225.10 [5142]~P94(x51421)+E(f326(f326(f101(x51421),x51422),f326(f78(x51421),x51422)),f241(x51421))
% 225.13/225.10 [5143]~P94(x51431)+E(f326(f326(f102(x51431),x51432),f326(f78(x51431),x51432)),f188(x51431))
% 225.13/225.10 [5167]E(x51671,f2(a917))+~E(f326(f78(a1),f326(f100(a1),x51672)),f326(f100(a1),x51671))
% 225.13/225.10 [5168]E(x51681,f2(a917))+~E(f326(f78(a1),f326(f100(a1),x51681)),f326(f100(a1),x51682))
% 225.13/225.10 [5178]E(f194(x51781,x51782),f2(a1))+P105(f326(f326(f234(a1),x51782),x51781))
% 225.13/225.10 [5179]E(f178(x51791,x51792),f113(a1))+P105(f326(f326(f234(a1),x51791),x51792))
% 225.13/225.10 [5180]E(f240(x51801,x51802),f2(a99))+P105(f326(f326(f235(a99),x51801),x51802))
% 225.13/225.10 [5193]E(x51931,f326(a112,f2(a917)))+~E(f326(f326(f80(a917),x51932),x51931),f326(a112,f2(a917)))
% 225.13/225.10 [5194]E(x51941,f326(a112,f2(a917)))+~E(f326(f326(f80(a917),x51941),x51942),f326(a112,f2(a917)))
% 225.13/225.10 [5195]~P106(x51951)+P105(f326(f326(f234(x51951),x51952),x51952))
% 225.13/225.10 [5196]~P120(x51961)+P105(f326(f326(f286(x51961),x51962),x51962))
% 225.13/225.10 [5199]~P92(x51991)+E(f326(f326(f80(x51991),x51992),f326(f104(x51991),a97)),f326(f78(x51991),x51992))
% 225.13/225.10 [5219]~P92(x52191)+E(f326(f78(x52191),f326(f104(x52191),x52192)),f326(f104(x52191),f326(f78(a1),x52192)))
% 225.13/225.10 [5220]~P141(x52201)+E(f326(f78(x52201),f326(f103(x52201),x52202)),f326(f103(x52201),f326(f78(a1),x52202)))
% 225.13/225.10 [5250]~E(x52501,f326(a112,x52502))+P105(f326(f326(f235(a917),f2(a917)),x52501))
% 225.13/225.10 [5268]~P108(x52681)+E(f326(f78(f925(x52681,a913)),f326(f300(x52681),x52682)),f326(f303(x52681),x52682))
% 225.13/225.10 [5269]~P108(x52691)+E(f326(f78(f925(x52691,a913)),f326(f281(x52691),x52692)),f326(f282(x52691),x52692))
% 225.13/225.10 [5270]~P108(x52701)+E(f326(f78(f925(x52701,a913)),f326(f282(x52701),x52702)),f326(f281(x52701),x52702))
% 225.13/225.10 [5271]~P108(x52711)+E(f326(f78(f925(x52711,a913)),f326(f303(x52711),x52712)),f326(f300(x52711),x52712))
% 225.13/225.10 [5279]~E(f326(f100(a1),x52792),x52791)+P105(f326(f326(f234(a1),f2(a1)),x52791))
% 225.13/225.10 [5286]~E(x52862,f2(a1))+E(f52(x52861,x52862),f326(f326(f251(a1,a1),f2(a1)),f326(f75(a1),x52861)))
% 225.13/225.10 [5288]~P1(x52881)+P105(f326(f326(f234(x52881),f188(x52881)),x52882))
% 225.13/225.10 [5321]E(x53211,x53212)+~E(f326(f326(f79(a1),x53211),x53211),f326(f326(f79(a1),x53212),x53212))
% 225.13/225.10 [5325]~P105(f326(x53251,x53252))+P105(f326(x53251,f326(a105,f333(x53251))))
% 225.13/225.10 [5351]~P113(x53511)+E(f326(f326(f80(x53511),f81(x53511,x53512)),f326(f75(x53511),x53512)),x53512)
% 225.13/225.10 [5358]~E(x53582,f2(a917))+E(f84(f924(a917,a917),f47(x53581,x53582)),f326(f326(f251(a917,a917),f2(a917)),x53581))
% 225.13/225.10 [5363]~E(x53631,x53632)+~P105(f326(f326(f235(a917),x53631),x53632))
% 225.13/225.10 [5364]~E(x53641,x53642)+~P105(f326(f326(f235(a1),x53641),x53642))
% 225.13/225.10 [5367]~P145(x53671)+E(f326(f326(f79(x53671),f77(x53671)),f326(f100(x53671),x53672)),f326(f100(x53671),f326(a112,x53672)))
% 225.13/225.10 [5371]~E(x53711,f2(a917))+~P105(f326(f326(f235(a917),x53712),x53711))
% 225.13/225.10 [5385]E(f152(x53851,x53852),x53852)+~E(f326(f189(f918(x53851)),f152(x53851,x53852)),f326(f189(f918(x53851)),x53852))
% 225.13/225.10 [5386]E(f326(f34(x53861),f326(f172(x53861),x53862)),f326(f189(f918(x53861)),x53862))+~P105(f326(f137(x53861),x53862))
% 225.13/225.10 [5401]~P105(f326(x54011,f878(x54011)))+P105(f326(x54011,f326(f100(a1),x54012)))
% 225.13/225.10 [5411]E(f240(x54111,x54112),x54112)+~P105(f326(f326(f235(a99),x54111),x54112))
% 225.13/225.10 [5413]E(f271(x54131,x54132),f77(a99))+~P105(f326(f326(f235(a99),x54132),x54131))
% 225.13/225.10 [5414]E(f178(x54141,x54142),f113(a1))+~P105(f326(f326(f235(a1),x54142),x54141))
% 225.13/225.10 [5415]E(f128(x54151,x54152),f115(a1))+~P105(f326(f326(f235(a1),x54151),x54152))
% 225.13/225.10 [5417]~P109(x54171)+E(f302(x54171,x54172,x54172),f326(f326(f308(x54171),x54172),f188(f925(x54171,a913))))
% 225.13/225.10 [5437]~E(f326(f326(f3(a917),x54371),x54372),f2(a917))+P105(f326(f326(f234(a917),x54371),x54372))
% 225.13/225.10 [5460]~E(x54602,f2(a917))+E(f54(x54601,x54602,f113(x54601)),f326(f326(f151(f918(x54601)),f113(x54601)),f113(f918(x54601))))
% 225.13/225.10 [5464]~P106(x54641)+~P105(f326(f326(f235(x54641),x54642),x54642))
% 225.13/225.10 [5466]~E(f44(a1,x54661,x54662),f2(a1))+E(f44(a1,x54661,f326(f78(a1),x54662)),f2(a1))
% 225.13/225.10 [5468]~E(f44(a1,x54681,x54682),f2(a1))+E(f44(a1,f326(f78(a1),x54681),x54682),f2(a1))
% 225.13/225.10 [5476]E(f326(f301(a917,x54761),f326(a112,x54762)),f188(f925(a917,a913)))+P105(f326(f326(f234(a917),x54761),x54762))
% 225.13/225.10 [5500]E(f139(a917,f326(f301(a917,x55001),x55002)),f113(a917))+P105(f326(f326(f235(a917),x55001),x55002))
% 225.13/225.10 [5505]~E(f326(f34(x55051),f326(f172(x55051),x55052)),f326(f189(f918(x55051)),x55052))+P105(f326(f137(x55051),x55052))
% 225.13/225.10 [5509]~P105(f326(f137(x55091),x55092))+P105(f326(f137(x55091),f326(f167(x55091),x55092)))
% 225.13/225.10 [5510]~P105(f326(f137(x55101),x55102))+P105(f326(f137(x55101),f326(f171(x55101),x55102)))
% 225.13/225.10 [5511]~P105(f326(f137(x55111),x55112))+P105(f326(f137(x55111),f326(f168(x55111),x55112)))
% 225.13/225.10 [5519]P105(f326(x55191,x55192))+~P105(f326(x55191,f326(a105,f334(x55191))))
% 225.13/225.10 [5520]P105(f326(f326(f234(a917),x55202),x55201))+P105(f326(f326(f234(a917),x55201),x55202))
% 225.13/225.10 [5521]P105(f326(f326(f234(a1),x55212),x55211))+P105(f326(f326(f234(a1),x55211),x55212))
% 225.13/225.10 [5525]~P84(x55251)+P105(f326(f326(f234(x55251),x55252),f326(f75(x55251),x55252)))
% 225.13/225.10 [5528]P105(f326(x55281,f895(x55281)))+~P105(f326(x55281,f326(f100(a1),x55282)))
% 225.13/225.10 [5552]E(f326(f326(f3(a917),x55521),x55522),f2(a917))+~P105(f326(f326(f234(a917),x55521),x55522))
% 225.13/225.10 [5553]E(f326(f326(f35(a917),x55531),x55532),f2(a917))+~P105(f326(f326(f235(a917),x55531),x55532))
% 225.13/225.10 [5572]E(f44(a917,x55721,x55722),x55721)+~P105(f326(f326(f235(a917),x55721),x55722))
% 225.13/225.10 [5580]E(f44(a1,x55801,f326(f78(a1),x55802)),f291(x55801,x55802))+P105(f326(f326(f234(a1),f2(a1)),x55802))
% 225.13/225.10 [5592]E(f326(f326(f3(a1),x55921),x55922),f194(x55921,x55922))+~P105(f326(f326(f234(a1),x55922),x55921))
% 225.13/225.10 [5612]P105(f326(f326(f234(a1),f2(a1)),f878(x56121)))+P105(f326(x56121,f326(f100(a1),x56122)))
% 225.13/225.10 [5625]~P112(x56251)+P105(f326(f326(f234(x56251),f2(x56251)),f326(f100(x56251),x56252)))
% 225.13/225.10 [5626]~P84(x56261)+P105(f326(f326(f234(x56261),f2(x56261)),f326(f75(x56261),x56262)))
% 225.13/225.10 [5653]E(f326(f326(f79(a917),x56531),f673(x56532,x56531)),x56532)+~P105(f326(f326(f234(a917),x56531),x56532))
% 225.13/225.10 [5668]E(f302(a1,x56681,x56682),f188(f925(a1,a913)))+~P105(f326(f326(f235(a1),x56682),x56681))
% 225.13/225.10 [5670]~P113(x56701)+E(f326(f326(f80(x56701),f326(f75(x56701),x56702)),f326(f75(x56701),x56702)),f326(f326(f80(x56701),x56702),x56702))
% 225.13/225.10 [5676]E(f139(a917,f326(f301(a917,x56761),f326(a112,x56762))),f113(a917))+P105(f326(f326(f234(a917),x56761),x56762))
% 225.13/225.10 [5680]E(f326(f326(f35(a1),x56801),x56802),f292(x56801,x56802))+~P105(f326(f326(f234(a1),f2(a1)),x56802))
% 225.13/225.10 [5700]P105(f326(f137(x57001),x57002))+~P105(f326(f137(x57001),f326(f167(x57001),x57002)))
% 225.13/225.10 [5701]P105(f326(f137(x57011),x57012))+~P105(f326(f137(x57011),f326(f168(x57011),x57012)))
% 225.13/225.10 [5726]P105(f326(f60(a917),x57261))+P105(f326(f326(f328(a917),f366(x57261,x57262)),x57261))
% 225.13/225.10 [5727]P105(f326(f60(a917),x57271))+P105(f326(f326(f328(a917),f368(x57271,x57272)),x57271))
% 225.13/225.10 [5730]P105(f326(f326(f235(a917),x57302),f326(a112,x57301)))+P105(f326(f326(f235(a917),x57301),x57302))
% 225.13/225.10 [5731]E(f44(a1,x57311,x57312),f291(x57311,x57312))+~P105(f326(f326(f234(a1),f2(a1)),x57312))
% 225.13/225.10 [5735]E(f139(a917,f326(f301(a917,x57351),x57352)),f113(a917))+~P105(f326(f326(f234(a917),x57352),x57351))
% 225.13/225.10 [5736]~P77(x57361)+E(f326(f309(x57361,x57361,f78(x57361)),f326(f300(x57361),x57362)),f326(f282(x57361),f326(f78(x57361),x57362)))
% 225.13/225.10 [5737]~P77(x57371)+E(f326(f309(x57371,x57371,f78(x57371)),f326(f281(x57371),x57372)),f326(f303(x57371),f326(f78(x57371),x57372)))
% 225.13/225.10 [5738]~P77(x57381)+E(f326(f309(x57381,x57381,f78(x57381)),f326(f282(x57381),x57382)),f326(f300(x57381),f326(f78(x57381),x57382)))
% 225.13/225.10 [5739]~P77(x57391)+E(f326(f309(x57391,x57391,f78(x57391)),f326(f303(x57391),x57392)),f326(f281(x57391),f326(f78(x57391),x57392)))
% 225.13/225.10 [5750]E(x57501,f188(f925(x57502,a913)))+P105(f326(f326(f328(x57502),f342(x57501,x57502)),x57501))
% 225.13/225.10 [5751]E(x57511,f188(f925(x57512,a913)))+P105(f326(f326(f328(x57512),f345(x57511,x57512)),x57511))
% 225.13/225.10 [5762]~P105(f326(f326(f235(a917),x57621),x57622))+P105(f326(f326(f234(a917),x57621),x57622))
% 225.13/225.10 [5763]~P105(f326(f326(f235(a1),x57631),x57632))+P105(f326(f326(f234(a1),x57631),x57632))
% 225.13/225.10 [5779]E(f46(x57791,x57792),f326(f326(f251(a1,a1),f2(a1)),x57791))+~P105(f326(f326(f235(a1),x57791),x57792))
% 225.13/225.10 [5781]E(f215(f326(f78(a1),x57811),f326(f78(a1),x57812)),f215(x57811,x57812))+~P105(f326(f326(f235(a1),x57812),f2(a1)))
% 225.13/225.10 [5793]E(x57931,x57932)+~E(f326(a5,f326(a112,f326(a22,x57931))),f326(a5,f326(a112,f326(a22,x57932))))
% 225.13/225.10 [5798]E(f46(x57981,x57982),f326(f326(f251(a1,a1),f2(a1)),x57981))+~P105(f326(f326(f234(a1),x57982),f2(a1)))
% 225.13/225.10 [5827]E(f44(a917,f326(f104(a917),x58271),f326(f104(a917),x58272)),f2(a917))+~P105(f326(a193,f326(f104(a1),x58271)))
% 225.13/225.10 [5841]P105(f326(f326(f234(a1),f2(a1)),f895(x58411)))+~P105(f326(x58411,f326(f100(a1),x58412)))
% 225.13/225.10 [5874]P40(f302(a1,x58741,x58742))+~P105(f326(f326(f234(a1),f2(a1)),x58741))
% 225.13/225.10 [5879]~P105(f326(f60(x58791),x58792))+P105(f326(f60(f925(x58791,a913)),f326(f307(x58791),x58792)))
% 225.13/225.10 [5892]E(f326(f326(f79(a1),x58921),f326(f100(a1),f899(x58922,x58921))),x58922)+~P105(f326(f326(f234(a1),x58921),x58922))
% 225.13/225.10 [5900]P105(f326(f326(f234(a917),x59001),x59002))+P105(f326(f326(f234(a917),f326(a112,x59002)),x59001))
% 225.13/225.10 [5944]E(f326(f326(f35(a917),f326(f104(a917),x59441)),f326(f104(a917),x59442)),f2(a917))+~P105(f326(a193,f326(f104(a1),x59441)))
% 225.13/225.10 [5945]E(f326(f326(f80(a917),f326(f104(a917),x59451)),f326(f104(a917),x59452)),f2(a917))+~P105(f326(f326(f235(a1),x59451),a82))
% 225.13/225.10 [5947]P105(f326(f326(f234(a917),x59471),f326(a112,x59472)))+~P105(f326(f326(f234(a917),x59471),x59472))
% 225.13/225.10 [5949]P105(f326(f326(f235(a917),x59491),f326(a112,x59492)))+~P105(f326(f326(f234(a917),x59491),x59492))
% 225.13/225.10 [5951]P105(f326(f326(f235(a917),x59511),f326(a112,x59512)))+~P105(f326(f326(f235(a917),x59511),x59512))
% 225.13/225.10 [5954]~E(x59541,x59542)+P105(f326(f326(f235(a1),x59541),f326(f326(f79(a1),x59542),f77(a1))))
% 225.13/225.10 [5957]E(f44(a1,x59571,x59572),f2(a1))+E(f326(f326(f3(a1),x59572),f44(a1,x59571,x59572)),f44(a1,f326(f78(a1),x59571),x59572))
% 225.13/225.10 [5966]E(x59661,f113(x59662))+P105(f326(f326(f328(x59662),f144(x59662,x59661)),f326(f172(x59662),x59661)))
% 225.13/225.10 [5978]E(f84(f924(a917,a917),f47(x59781,x59782)),f326(f326(f251(a917,a917),f2(a917)),x59781))+~P105(f326(f326(f235(a917),x59781),x59782))
% 225.13/225.10 [6019]E(f326(f326(f3(a917),f326(f104(a917),x60191)),f326(f104(a917),x60192)),f326(f104(a917),x60191))+~P105(f326(f326(f235(a1),x60192),a82))
% 225.13/225.10 [6020]E(f326(f326(f79(a917),f326(f104(a917),x60201)),f326(f104(a917),x60202)),f326(f104(a917),x60202))+~P105(f326(f326(f235(a1),x60201),a82))
% 225.13/225.10 [6027]E(f326(a112,f326(f326(f79(a917),x60271),f718(x60272,x60271))),x60272)+~P105(f326(f326(f235(a917),x60271),x60272))
% 225.13/225.10 [6051]P105(f326(x60511,x60512))+~P105(f326(x60511,f326(a88,f583(x60512,x60511))))
% 225.13/225.10 [6052]P105(f326(x60521,x60522))+~P105(f326(x60521,f326(a5,f819(x60522,x60521))))
% 225.13/225.10 [6061]~P105(f326(f326(f235(a917),x60611),f326(a112,x60612)))+P105(f326(f326(f234(a917),x60611),x60612))
% 225.13/225.10 [6111]E(f326(f326(f308(a917),x61111),f326(f301(a917,x61112),x61111)),f326(f301(a917,x61112),f326(a112,x61111)))+~P105(f326(f326(f234(a917),x61112),x61111))
% 225.13/225.10 [6113]E(x61131,f113(x61132))+E(f326(f326(f134(x61132),f114(x61132,x61131)),f326(f326(f151(x61132),f144(x61132,x61131)),f113(x61132))),x61131)
% 225.13/225.10 [6130]P105(f326(f60(x61301),x61302))+~P105(f326(f326(f235(a917),f2(a917)),f326(f34(x61301),x61302)))
% 225.13/225.10 [6134]~E(x61341,f188(f925(x61342,a913)))+~P105(f326(f326(f235(a917),f2(a917)),f326(f34(x61342),x61341)))
% 225.13/225.10 [6146]~P105(f326(f326(f235(a917),x61461),x61462))+P105(f326(f326(f234(a917),f326(a112,x61461)),x61462))
% 225.13/225.10 [6150]~P108(x61501)+E(f150(x61501,x61501,f7(x61501),f152(x61501,x61502)),f139(x61501,f326(f172(x61501),x61502)))
% 225.13/225.10 [6153]E(x61531,f113(x61532))+P105(f326(f326(f328(x61532),f326(f141(x61532),x61531)),f326(f172(x61532),x61531)))
% 225.13/225.10 [6159]~P112(x61591)+P105(f326(f326(f235(x61591),x61592),f326(f326(f79(x61591),x61592),f77(x61591))))
% 225.13/225.10 [6161]~P84(x61611)+P105(f326(f326(f234(x61611),f326(f78(x61611),x61612)),f326(f75(x61611),x61612)))
% 225.13/225.10 [6175]~E(x61751,x61752)+E(f289(a917,f286(a917),x61751,x61752),f326(f326(f308(a917),x61751),f188(f925(a917,a913))))
% 225.13/225.10 [6193]P105(f326(f60(a917),x61931))+~P105(f326(f326(f234(a917),f366(x61931,x61932)),x61932))
% 225.13/225.10 [6194]P105(f326(f60(a917),x61941))+~P105(f326(f326(f235(a917),f368(x61941,x61942)),x61942))
% 225.13/225.10 [6197]~P105(f326(f60(f924(x61971,x61971)),x61972))+P105(f326(f60(x61971),f326(f280(x61971),x61972)))
% 225.13/225.10 [6252]E(f289(a917,f286(a917),x62521,x62522),f188(f925(a917,a913)))+P105(f326(f326(f286(a917),x62521),x62522))
% 225.13/225.10 [6255]~P105(f326(f326(f235(a917),x62552),f326(a112,x62551)))+~P105(f326(f326(f235(a917),x62551),x62552))
% 225.13/225.10 [6256]~P109(x62561)+E(f326(f326(f102(f925(x62561,a913)),f326(f300(x62561),x62562)),f326(f282(x62561),x62562)),f326(f326(f308(x62561),x62562),f188(f925(x62561,a913))))
% 225.13/225.10 [6268]P105(f326(f60(x62681),x62682))+~P105(f326(f60(f925(x62681,a913)),f326(f307(x62681),x62682)))
% 225.13/225.10 [6290]P105(f326(f326(f234(a917),f326(a112,x62901)),f326(a112,x62902)))+~P105(f326(f326(f234(a917),x62901),x62902))
% 225.13/225.10 [6291]P105(f326(f326(f234(a917),f326(a22,x62911)),f326(a22,x62912)))+~P105(f326(f326(f234(a99),x62911),x62912))
% 225.13/225.10 [6292]P105(f326(f326(f234(a99),f326(a5,x62921)),f326(a5,x62922)))+~P105(f326(f326(f234(a917),x62921),x62922))
% 225.13/225.10 [6294]P105(f326(f326(f235(a917),f326(a112,x62941)),f326(a112,x62942)))+~P105(f326(f326(f235(a917),x62941),x62942))
% 225.13/225.10 [6295]P105(f326(f326(f235(a917),f326(a22,x62951)),f326(a22,x62952)))+~P105(f326(f326(f235(a99),x62951),x62952))
% 225.13/225.10 [6296]P105(f326(f326(f235(a99),f326(a5,x62961)),f326(a5,x62962)))+~P105(f326(f326(f235(a917),x62961),x62962))
% 225.13/225.10 [6301]E(x63011,x63012)+~E(f326(f309(a917,a1,f100(a1)),x63011),f326(f309(a917,a1,f100(a1)),x63012))
% 225.13/225.10 [6317]P105(f326(f326(f234(a917),x63171),x63172))+~P105(f326(f326(f234(a917),f326(a112,x63171)),x63172))
% 225.13/225.10 [6320]P105(f326(f326(f235(a917),x63201),x63202))+~P105(f326(f326(f234(a917),f326(a112,x63201)),x63202))
% 225.13/225.10 [6321]P105(f326(f326(f235(a917),x63211),x63212))+~P105(f326(f326(f235(a917),f326(a112,x63211)),x63212))
% 225.13/225.10 [6338]E(f44(a1,x63381,x63382),f2(a1))+E(f326(f326(f3(a1),f44(a1,x63381,x63382)),x63382),f44(a1,x63381,f326(f78(a1),x63382)))
% 225.13/225.10 [6405]E(f326(f34(f925(x64051,a913)),f326(f307(x64051),x64052)),f326(f326(f243(a917),f326(a112,f326(a112,f2(a917)))),f326(f34(x64051),x64052)))+~P105(f326(f60(x64051),x64052))
% 225.13/225.10 [6408]E(x64081,f113(x64082))+E(f326(f326(f164(x64082),x64081),f326(f326(f3(a917),f326(f189(f918(x64082)),x64081)),f77(a917))),f144(x64082,x64081))
% 225.13/225.10 [6430]E(x64301,f113(x64302))+E(f326(f326(f134(x64302),f326(f171(x64302),x64301)),f326(f326(f151(x64302),f326(f141(x64302),x64301)),f113(x64302))),f326(f167(x64302),x64301))
% 225.13/225.10 [6461]~P105(f326(f60(x64611),f36(f925(x64611,a913),x64612)))+P105(f326(f60(f925(x64611,a913)),x64612))
% 225.13/225.10 [6483]P105(f326(f326(f234(a917),f326(f104(a917),x64831)),f326(f104(a917),x64832)))+~P105(f326(f326(f234(a1),x64831),a82))
% 225.13/225.10 [6505]~P105(f326(f326(f235(a1),x65051),x65052))+P105(f326(f326(f234(a1),x65051),f326(f326(f3(a1),x65052),f77(a1))))
% 225.13/225.10 [6506]~P105(f326(f326(f234(a1),x65061),x65062))+P105(f326(f326(f235(a1),x65061),f326(f326(f79(a1),x65062),f77(a1))))
% 225.13/225.10 [6507]~P105(f326(f326(f235(a1),x65071),x65072))+P105(f326(f326(f235(a1),x65071),f326(f326(f79(a1),x65072),f77(a1))))
% 225.13/225.10 [6509]~P105(f326(f326(f234(a1),x65091),x65092))+P105(f326(f326(f234(a917),f326(f104(a917),x65091)),f326(f104(a917),x65092)))
% 225.13/225.10 [6510]~P105(f326(f326(f234(a1),x65101),x65102))+P105(f326(f326(f234(a1),f326(f104(a1),x65101)),f326(f104(a1),x65102)))
% 225.13/225.10 [6512]~P105(f326(f326(f234(a917),x65121),x65122))+P105(f326(f326(f234(a1),f326(f100(a1),x65121)),f326(f100(a1),x65122)))
% 225.13/225.10 [6513]~P105(f326(f326(f235(a1),x65131),x65132))+P105(f326(f326(f235(a1),f326(f104(a1),x65131)),f326(f104(a1),x65132)))
% 225.13/225.10 [6515]~P105(f326(f326(f235(a917),x65151),x65152))+P105(f326(f326(f235(a1),f326(f100(a1),x65151)),f326(f100(a1),x65152)))
% 225.13/225.10 [6536]~P105(f326(f326(f234(a917),x65361),x65362))+~P105(f326(f326(f234(a917),f326(a112,x65362)),x65361))
% 225.13/225.10 [6578]~P105(f326(f326(f234(a917),f326(a112,x65781)),f326(a112,x65782)))+P105(f326(f326(f234(a917),x65781),x65782))
% 225.13/225.10 [6579]~P105(f326(f326(f234(a99),f326(a5,x65791)),f326(a5,x65792)))+P105(f326(f326(f234(a917),x65791),x65792))
% 225.13/225.10 [6580]~P105(f326(f326(f234(a917),f326(a22,x65801)),f326(a22,x65802)))+P105(f326(f326(f234(a99),x65801),x65802))
% 225.13/225.10 [6582]~P105(f326(f326(f235(a917),f326(a112,x65821)),f326(a112,x65822)))+P105(f326(f326(f235(a917),x65821),x65822))
% 225.13/225.10 [6583]~P105(f326(f326(f235(a99),f326(a5,x65831)),f326(a5,x65832)))+P105(f326(f326(f235(a917),x65831),x65832))
% 225.13/225.10 [6584]~P105(f326(f326(f235(a917),f326(a105,x65841)),f326(a105,x65842)))+P105(f326(f326(f235(a1),x65841),x65842))
% 225.13/225.10 [6585]~P105(f326(f326(f235(a917),f326(a22,x65851)),f326(a22,x65852)))+P105(f326(f326(f235(a99),x65851),x65852))
% 225.13/225.10 [6624]~P105(f326(f326(f235(a917),f326(a105,x66242)),f326(a105,x66241)))+P105(f326(f326(f235(a1),f2(a1)),x66241))
% 225.13/225.10 [6655]P105(f326(f326(f234(a1),f2(a1)),f44(a1,x66551,x66552)))+~P105(f326(f326(f235(a1),f2(a1)),x66552))
% 225.13/225.10 [6817]P37(x68171,x68172)+~E(f326(f326(f288(x68171,x68171,x68171),x68172),x68172),f188(f925(f924(x68171,x68171),a913)))
% 225.13/225.10 [6831]~P37(x68311,x68312)+P37(x68311,f326(f326(f288(x68311,x68311,x68311),x68312),x68312))
% 225.13/225.10 [6842]P105(f326(f326(f234(a1),x68421),x68422))+~P105(f326(f326(f235(a1),x68421),f326(f326(f79(a1),x68422),f77(a1))))
% 225.13/225.10 [6843]P105(f326(f326(f235(a1),x68431),x68432))+~P105(f326(f326(f234(a1),x68431),f326(f326(f3(a1),x68432),f77(a1))))
% 225.13/225.10 [6846]P105(f326(f326(f234(a917),x68461),x68462))+~P105(f326(f326(f234(a1),f326(f100(a1),x68461)),f326(f100(a1),x68462)))
% 225.13/225.10 [6847]P105(f326(f326(f234(a1),x68471),x68472))+~P105(f326(f326(f234(a1),f326(f104(a1),x68471)),f326(f104(a1),x68472)))
% 225.13/225.10 [6849]P105(f326(f326(f235(a917),x68491),x68492))+~P105(f326(f326(f235(a1),f326(f100(a1),x68491)),f326(f100(a1),x68492)))
% 225.13/225.10 [6850]P105(f326(f326(f235(a1),x68501),x68502))+~P105(f326(f326(f235(a917),f326(f104(a917),x68501)),f326(f104(a917),x68502)))
% 225.13/225.10 [6851]P105(f326(f326(f235(a1),x68511),x68512))+~P105(f326(f326(f235(a1),f326(f104(a1),x68511)),f326(f104(a1),x68512)))
% 225.13/225.10 [6924]~E(f289(a917,f286(a917),x69241,x69242),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x69241),x69242))
% 225.13/225.10 [6948]~E(f697(x69482,x69481),f113(x69481))+E(f326(f142(f918(x69481),f918(x69481),f134(x69481),f113(x69481)),x69482),f113(x69481))
% 225.13/225.10 [6949]~E(f703(x69492,x69491),f113(x69491))+E(f326(f142(f918(x69491),f918(x69491),f134(x69491),f113(x69491)),x69492),f113(x69491))
% 225.13/225.10 [6953]~P5(x69531)+E(f326(f142(x69531,x69531,f101(x69531),f188(x69531)),x69532),f36(x69531,f326(f172(x69531),x69532)))
% 225.13/225.10 [6954]~P5(x69541)+E(f326(f142(x69541,x69541,f102(x69541),f241(x69541)),x69542),f37(x69541,f326(f172(x69541),x69542)))
% 225.13/225.10 [6968]E(x69681,f2(a99))+E(f326(f326(f79(a917),f326(a22,f326(f326(f3(a99),x69681),f77(a99)))),f326(a112,x69682)),f326(f326(f79(a917),f326(a22,x69681)),x69682))
% 225.13/225.10 [7017]P105(f326(f326(f235(a1),f326(f326(f3(a1),x70171),x70172)),f2(a1)))+~P105(f326(f326(f235(a1),x70171),x70172))
% 225.13/225.10 [7042]~P108(x70421)+E(f326(f326(f101(f925(x70421,a913)),f326(f326(f308(x70421),x70422),f188(f925(x70421,a913)))),f326(f303(x70421),x70422)),f326(f282(x70421),x70422))
% 225.13/225.10 [7118]~P59(x71181,x71182)+P37(x71181,f326(f261(f924(x71181,x71181)),f326(f256(x71181,x71181,a913),x71182)))
% 225.13/225.10 [7119]~P59(x71191,x71192)+P57(x71191,f326(f261(f924(x71191,x71191)),f326(f256(x71191,x71191,a913),x71192)))
% 225.13/225.10 [7120]~P49(x71201,x71202)+P38(x71201,f326(f261(f924(x71201,x71201)),f326(f256(x71201,x71201,a913),x71202)))
% 225.13/225.10 [7121]~P50(x71211,x71212)+P51(x71211,f326(f261(f924(x71211,x71211)),f326(f256(x71211,x71211,a913),x71212)))
% 225.13/225.10 [7122]E(x71221,f188(f925(x71222,a913)))+~P105(f326(f326(f234(f925(x71222,a913)),x71221),f188(f925(x71222,a913))))
% 225.13/225.10 [7203]~P105(f326(f326(f235(a917),f2(a917)),x72032))+P105(f326(f326(f234(a917),f44(a917,x72031,x72032)),x72032))
% 225.13/225.10 [7204]~P105(f326(f326(f234(a1),f2(a1)),x72041))+P105(f326(f326(f234(a1),f44(a1,x72041,x72042)),x72041))
% 225.13/225.10 [7205]~P105(f326(f326(f235(a917),f2(a917)),x72052))+P105(f326(f326(f235(a917),f44(a917,x72051,x72052)),x72052))
% 225.13/225.10 [7207]~P105(f326(f326(f235(a1),f2(a1)),x72072))+P105(f326(f326(f235(a1),f44(a1,x72071,x72072)),x72072))
% 225.13/225.10 [7284]~P109(x72841)+E(f326(f326(f3(f925(x72841,a913)),f326(f326(f308(x72841),x72842),f188(f925(x72841,a913)))),f326(f281(x72841),x72842)),f326(f326(f308(x72841),x72842),f188(f925(x72841,a913))))
% 225.13/225.10 [7359]~P43(x73591,x73592)+P52(x73591,f241(f925(x73591,a913)),f326(f261(f924(x73591,x73591)),f326(f256(x73591,x73591,a913),x73592)))
% 225.13/225.10 [7360]P105(f326(x73601,x73602))+P105(f326(f326(f328(f925(f924(a917,a917),a913)),f583(x73602,x73601)),a98))
% 225.13/225.10 [7405]E(f326(f326(f134(a917),f139(a917,f326(f301(a917,x74051),x74052))),f326(f326(f151(a917),x74052),f113(a917))),f139(a917,f326(f301(a917,x74051),f326(a112,x74052))))+~P105(f326(f326(f234(a917),x74051),x74052))
% 225.13/225.10 [7558]E(x75581,f2(a917))+~E(f326(f142(a917,a917,f79(a917),x75581),x75582),f2(a917))
% 225.13/225.10 [7583]~P105(f326(f326(f235(a1),f326(f326(f3(a1),x75831),x75832)),f2(a1)))+P105(f326(f326(f235(a1),x75831),x75832))
% 225.13/225.10 [7611]P37(x76111,x76112)+~P37(x76111,f326(f326(f288(x76111,x76111,x76111),x76112),x76112))
% 225.13/225.10 [7637]~P105(f326(f326(f234(a917),f326(a112,x76371)),x76372))+P105(f185(a913,a232,f326(f234(a917),x76371),x76372))
% 225.13/225.10 [7790]P25(a917,a917,f326(f326(f9(a917,a917,a917),f3(a917)),x77901),x77902)+P105(f326(f326(f328(a917),f584(x77901,x77902)),x77902))
% 225.13/225.10 [7848]E(f326(f326(f326(f64(a917,x78481,f79(a917)),f326(f18(a917,x78481),f77(a917))),f2(a917)),x78482),f326(f34(x78481),x78482))+~P105(f326(f60(x78481),x78482))
% 225.13/225.10 [7890]P25(a917,a917,f326(f326(f9(a917,a917,a917),f3(a917)),x78901),x78902)+~P105(f326(f326(f234(a917),x78901),f584(x78901,x78902)))
% 225.13/225.10 [7946]P37(x79461,x79462)+P105(f326(f326(f234(f925(x79461,a913)),f582(x79462,x79461)),f326(f284(x79461,x79461,x79462),f582(x79462,x79461))))
% 225.13/225.10 [7951]P59(x79511,x79512)+~P37(x79511,f326(f261(f924(x79511,x79511)),f326(f256(x79511,x79511,a913),x79512)))
% 225.13/225.10 [7952]P49(x79521,x79522)+~P38(x79521,f326(f261(f924(x79521,x79521)),f326(f256(x79521,x79521,a913),x79522)))
% 225.13/225.10 [7953]P50(x79531,x79532)+~P51(x79531,f326(f261(f924(x79531,x79531)),f326(f256(x79531,x79531,a913),x79532)))
% 225.13/225.10 [8019]P105(f326(f326(f234(a917),f326(a112,x80191)),x80192))+~P105(f185(a913,a232,f326(f234(a917),x80191),x80192))
% 225.13/225.10 [8076]P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x80761),x80762)),f306(a917,a316)))+~P105(f326(f326(f234(a917),x80761),x80762))
% 225.13/225.10 [8173]P43(x81731,x81732)+~P52(x81731,f241(f925(x81731,a913)),f326(f261(f924(x81731,x81731)),f326(f256(x81731,x81731,a913),x81732)))
% 225.13/225.10 [8228]~P105(f326(f137(x82281),x82282))+P105(f326(f137(f925(x82281,a913)),f326(f326(f154(f918(x82281),f925(x82281,a913)),f172(x82281)),f53(x82281,x82282))))
% 225.13/225.10 [8428]~P37(x84281,f326(f285(x84281,x84281),x84282))+P37(x84281,f326(f285(x84281,x84281),f326(f326(f288(x84281,x84281,x84281),x84282),f306(x84281,x84282))))
% 225.13/225.10 [8526]P26(x85261,a917,f822(x85262,x85261),x85262,f326(f301(a917,f2(a917)),f326(f34(x85261),x85262)))+~P105(f326(f60(x85261),x85262))
% 225.13/225.10 [8527]P26(a917,x85271,f823(x85272,x85271),f326(f301(a917,f2(a917)),f326(f34(x85271),x85272)),x85272)+~P105(f326(f60(x85271),x85272))
% 225.13/225.10 [8544]P26(a917,x85441,f824(x85442,x85441),f302(a917,f77(a917),f326(f34(x85441),x85442)),x85442)+~P105(f326(f60(x85441),x85442))
% 225.13/225.10 [8553]P105(f326(f60(f924(x85531,x85531)),f326(f326(f288(x85531,x85531,x85531),x85532),f306(x85531,x85532))))+~P105(f326(f60(f924(x85531,x85531)),x85532))
% 225.13/225.10 [8580]E(x85801,f2(a1))+P105(f326(f48(x85802,x85801),f326(f326(f251(a1,a1),f326(f326(f35(a1),x85802),x85801)),f44(a1,x85802,x85801))))
% 225.13/225.10 [8593]~P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x85931),x85932)),f306(a917,a316)))+P105(f326(f326(f234(a917),x85931),x85932))
% 225.13/225.10 [8609]~P80(x86091)+E(f326(f142(x86091,x86091,f326(f9(x86091,x86091,x86091),f79(x86091)),f2(x86091)),f326(f168(x86091),x86092)),f326(f142(x86091,x86091,f79(x86091),f2(x86091)),x86092))
% 225.13/225.10 [8780]~P108(x87801)+E(f326(f142(f918(x87801),x87801,f326(f9(x87801,f918(x87801),f918(x87801)),f148(x87801,x87801,f7(x87801))),f113(x87801)),x87802),f150(x87801,x87801,f7(x87801),x87802))
% 225.13/225.10 [8891]~P57(x88911,f326(f261(f924(x88911,x88911)),f326(f256(x88911,x88911,a913),x88912)))+P57(x88911,f326(f261(f924(x88911,x88911)),f326(f256(x88911,x88911,a913),f242(x88911,x88911,x88912))))
% 225.13/225.10 [8905]P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x89051),x89052)),f326(f326(f288(a917,a917,a917),a316),f306(a917,a316))))+~P105(f326(f326(f235(a917),x89051),x89052))
% 225.13/225.10 [8951]~P105(f326(f60(f924(x89511,x89511)),f326(f326(f288(x89511,x89511,x89511),x89512),f306(x89511,x89512))))+P105(f326(f60(f924(x89511,x89511)),x89512))
% 225.13/225.10 [9009]~P57(x90091,f326(f261(f924(x90091,x90091)),f326(f256(x90091,x90091,a913),f242(x90091,x90091,x90092))))+P57(x90091,f326(f261(f924(x90091,x90091)),f326(f256(x90091,x90091,a913),x90092)))
% 225.13/225.10 [9206]P57(x92061,x92062)+P105(f326(f326(f328(f924(x92061,x92061)),f326(f326(f251(x92061,x92061),f614(x92062,x92061)),f614(x92062,x92061))),f326(f326(f288(x92061,x92061,x92061),x92062),f306(x92061,x92062))))
% 225.13/225.10 [9207]P57(x92071,x92072)+P105(f326(f326(f328(f924(x92071,x92071)),f326(f326(f251(x92071,x92071),f626(x92072,x92071)),f626(x92072,x92071))),f326(f326(f288(x92071,x92071,x92071),x92072),f306(x92071,x92072))))
% 225.13/225.10 [9324]~P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x93241),x93242)),f326(f326(f288(a917,a917,a917),a316),f306(a917,a316))))+P105(f326(f326(f235(a917),x93241),x93242))
% 225.13/225.10 [5264]~P92(x52641)+E(f326(f326(f79(x52641),f326(f104(x52641),a82)),x52642),x52642)
% 225.13/225.10 [5293]~P67(x52931)+E(f326(f326(f79(x52931),f326(f78(x52931),x52932)),x52932),f2(x52931))
% 225.13/225.10 [5294]~P74(x52941)+E(f326(f326(f79(x52941),f326(f78(x52941),x52942)),x52942),f2(x52941))
% 225.13/225.10 [5295]~P94(x52951)+E(f326(f326(f101(x52951),f326(f78(x52951),x52952)),x52952),f241(x52951))
% 225.13/225.10 [5296]~P94(x52961)+E(f326(f326(f102(x52961),f326(f78(x52961),x52962)),x52962),f188(x52961))
% 225.13/225.10 [5329]~P92(x53291)+E(f326(f326(f80(x53291),f326(f104(x53291),a97)),x53292),f326(f78(x53291),x53292))
% 225.13/225.10 [5492]~P115(x54921)+E(f326(f326(f80(x54921),f326(f78(x54921),f77(x54921))),x54922),f326(f78(x54921),x54922))
% 225.13/225.10 [5537]E(f326(f75(a1),x55371),f77(a1))+~E(f326(f75(a1),f326(f326(f80(a1),x55371),x55372)),f77(a1))
% 225.13/225.10 [5628]~P92(x56281)+E(f326(f326(f79(x56281),f77(x56281)),f326(f104(x56281),x56282)),f326(f104(x56281),f326(f326(f3(a1),x56282),a97)))
% 225.13/225.10 [5681]~P108(x56811)+E(f16(x56811,f326(f326(f308(x56811),x56812),f188(f925(x56811,a913)))),x56812)
% 225.13/225.10 [5682]~P108(x56821)+E(f17(x56821,f326(f326(f308(x56821),x56822),f188(f925(x56821,a913)))),x56822)
% 225.13/225.10 [5683]~P99(x56831)+E(f12(x56831,f326(f326(f308(x56831),x56832),f188(f925(x56831,a913)))),x56832)
% 225.13/225.10 [5684]~P99(x56841)+E(f13(x56841,f326(f326(f308(x56841),x56842),f188(f925(x56841,a913)))),x56842)
% 225.13/225.10 [5685]~P5(x56851)+E(f36(x56851,f326(f326(f308(x56851),x56852),f188(f925(x56851,a913)))),x56852)
% 225.13/225.10 [5686]~P5(x56861)+E(f37(x56861,f326(f326(f308(x56861),x56862),f188(f925(x56861,a913)))),x56862)
% 225.13/225.10 [5708]E(f326(f326(f79(a917),x57081),f326(f326(f3(a917),x57082),x57081)),x57082)+P105(f326(f326(f235(a917),x57082),x57081))
% 225.13/225.10 [5745]E(x57451,f113(x57452))+P105(f326(f326(f235(a917),f2(a917)),f326(f189(f918(x57452)),x57451)))
% 225.13/225.10 [5871]~P108(x58711)+E(f14(x58711,f238(x58711),f326(f326(f308(x58711),x58712),f188(f925(x58711,a913)))),x58712)
% 225.13/225.10 [5872]~P108(x58721)+E(f15(x58721,f233(x58721),f326(f326(f308(x58721),x58722),f188(f925(x58721,a913)))),x58722)
% 225.13/225.10 [5933]E(f326(f326(f3(a917),x59331),f326(f326(f3(a917),x59331),x59332)),x59332)+~P105(f326(f326(f234(a917),x59332),x59331))
% 225.13/225.10 [5934]E(f326(f326(f79(a917),x59341),f326(f326(f3(a917),x59342),x59341)),x59342)+~P105(f326(f326(f234(a917),x59341),x59342))
% 225.13/225.10 [5956]E(f44(a917,f326(f326(f3(a917),x59561),x59562),x59562),f44(a917,x59561,x59562))+P105(f326(f326(f235(a917),x59561),x59562))
% 225.13/225.10 [5967]E(f326(f78(a1),f326(f326(f35(a1),x59671),f326(f78(a1),x59672))),f292(x59671,x59672))+P105(f326(f326(f234(a1),f2(a1)),x59672))
% 225.13/225.10 [5969]~E(x59692,f2(a917))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f243(a917),x59691),x59692)))
% 225.13/225.10 [6029]~P92(x60291)+E(f326(f326(f79(x60291),f326(f78(x60291),f77(x60291))),f326(f104(x60291),x60292)),f326(f104(x60291),f326(f326(f79(a1),x60292),a97)))
% 225.13/225.10 [6031]E(f326(f326(f243(a917),f326(f104(a917),x60311)),x60312),f326(f326(f243(a917),f2(a917)),x60312))+~P105(f326(a193,f326(f104(a1),x60311)))
% 225.13/225.10 [6138]E(f326(f141(a917),f139(a917,f326(f301(a917,x61381),x61382))),x61381)+~P105(f326(f326(f235(a917),x61381),x61382))
% 225.13/225.10 [6154]E(f326(f326(f80(a917),f326(f104(a917),x61541)),f326(f104(a917),x61542)),f326(f104(a917),f326(f326(f80(a1),x61541),x61542)))+P105(f326(f326(f235(a1),x61541),a82))
% 225.13/225.10 [6160]~P128(x61601)+P105(f326(f326(f234(x61601),f2(x61601)),f326(f326(f80(x61601),x61602),x61602)))
% 225.13/225.10 [6172]E(f326(f326(f3(a917),f326(a112,x61721)),x61722),f326(a112,f326(f326(f3(a917),x61721),x61722)))+~P105(f326(f326(f234(a917),x61722),x61721))
% 225.13/225.10 [6176]E(f44(a917,f326(f326(f3(a917),x61761),x61762),x61762),f44(a917,x61761,x61762))+~P105(f326(f326(f234(a917),x61762),x61761))
% 225.13/225.10 [6229]E(f326(f326(f243(a917),f326(a105,x62291)),x62292),f326(a105,f326(f326(f243(a1),x62291),x62292)))+~P105(f326(f326(f234(a1),f2(a1)),x62291))
% 225.13/225.10 [6247]P105(f326(f137(x62471),x62472))+P105(f326(f326(f235(a917),f668(x62472,x62471)),f326(f189(f918(x62471)),x62472)))
% 225.13/225.10 [6248]P105(f326(f137(x62481),x62482))+P105(f326(f326(f235(a917),f672(x62482,x62481)),f326(f189(f918(x62481)),x62482)))
% 225.13/225.10 [6262]~E(x62621,f113(x62622))+~P105(f326(f326(f235(a917),f2(a917)),f326(f189(f918(x62622)),x62621)))
% 225.13/225.10 [6273]E(f144(a917,f139(a917,f326(f301(a917,x62731),x62732))),f326(f326(f3(a917),x62732),f77(a917)))+~P105(f326(f326(f235(a917),x62731),x62732))
% 225.13/225.10 [6276]E(f326(f326(f79(a1),x62761),f326(f100(a1),f326(a112,f900(x62762,x62761)))),x62762)+~P105(f326(f326(f235(a1),x62761),x62762))
% 225.13/225.10 [6283]E(x62831,f2(a917))+E(f326(f326(f80(a917),x62832),f326(f326(f243(a917),x62832),f326(f326(f3(a917),x62831),f77(a917)))),f326(f326(f243(a917),x62832),x62831))
% 225.13/225.10 [6311]E(f326(f326(f80(a917),f326(a105,x63111)),f326(a105,x63112)),f326(a105,f326(f326(f80(a1),x63111),x63112)))+~P105(f326(f326(f234(a1),f2(a1)),x63111))
% 225.13/225.10 [6312]E(f326(f326(f35(a917),f326(a105,x63121)),f326(a105,x63122)),f326(a105,f326(f326(f35(a1),x63121),x63122)))+~P105(f326(f326(f234(a1),f2(a1)),x63121))
% 225.13/225.10 [6326]~P120(x63261)+E(f326(f326(f79(x63261),x63262),x63262),f326(f326(f80(x63261),f326(f326(f79(x63261),f77(x63261)),f77(x63261))),x63262))
% 225.13/225.10 [6347]E(f326(f326(f3(a1),f326(f100(a1),x63471)),f326(f100(a1),x63472)),f326(f100(a1),f326(f326(f3(a917),x63471),x63472)))+~P105(f326(f326(f234(a917),x63472),x63471))
% 225.13/225.10 [6349]E(f326(f326(f251(a1,a1),f326(f104(a1),a97)),f326(f326(f79(a1),x63491),x63492)),f49(x63491,x63492))+~P105(f326(f326(f234(a1),x63492),f2(a1)))
% 225.13/225.10 [6382]E(f179(x63821,x63822),f113(f918(x63821)))+P105(f326(f326(f328(f918(x63821)),f667(x63822,x63821)),f326(f172(f918(x63821)),x63822)))
% 225.13/225.10 [6392]E(f116(a1,f326(f129(a1),x63921),f128(x63922,f326(f326(f79(a1),x63921),f77(a1)))),f128(x63922,x63921))+P105(f326(f326(f235(a1),x63922),x63921))
% 225.13/225.10 [6446]~P105(f326(f326(f286(a917),x64461),x64462))+P105(f326(f326(f286(a917),x64461),f326(f326(f79(a917),x64462),x64461)))
% 225.13/225.10 [6467]E(f326(f326(f151(a1),x64671),f178(f326(f326(f79(a1),x64671),f77(a1)),x64672)),f178(x64671,x64672))+~P105(f326(f326(f234(a1),x64671),x64672))
% 225.13/225.10 [6508]~P105(f326(f326(f235(a917),x65082),x65081))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f3(a917),x65081),x65082)))
% 225.13/225.10 [6541]~P105(f326(f326(f235(a917),x65411),f326(a105,x65412)))+P105(f326(f326(f235(a1),f326(f100(a1),x65411)),x65412))
% 225.13/225.10 [6569]~P108(x65691)+E(f326(f326(f101(f925(x65691,a913)),f326(f281(x65691),x65692)),f326(f326(f308(x65691),x65692),f188(f925(x65691,a913)))),f326(f300(x65691),x65692))
% 225.13/225.10 [6570]~P105(f326(f326(f234(a1),f2(a1)),x65701))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),x65701),x65702)))
% 225.13/225.10 [6573]~P105(f326(f326(f235(a917),f2(a917)),x65731))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f243(a917),x65731),x65732)))
% 225.13/225.10 [6600]~E(f326(x66001,f2(a917)),f2(a917))+E(f326(f326(f8(a917,a917),x66001),f302(a917,f326(a112,f2(a917)),x66002)),f326(f326(f8(a917,a917),x66001),f302(a917,f2(a917),x66002)))
% 225.13/225.10 [6663]~P92(x66631)+E(f326(f326(f80(x66631),f326(f326(f79(x66631),f77(x66631)),f77(x66631))),f326(f104(x66631),x66632)),f326(f104(x66631),f326(f326(f79(a1),x66632),x66632)))
% 225.13/225.10 [6680]E(f326(f326(f308(a1),x66801),f302(a1,f326(f326(f79(a1),x66801),f77(a1)),x66802)),f302(a1,x66801,x66802))+P105(f326(f326(f235(a1),x66802),x66801))
% 225.13/225.10 [6681]P105(f326(f326(f235(a917),x66811),f326(a105,x66812)))+~P105(f326(f326(f235(a1),f326(f100(a1),x66811)),x66812))
% 225.13/225.10 [6780]P105(f326(f326(f286(a917),x67801),x67802))+~P105(f326(f326(f286(a917),x67801),f326(f326(f79(a917),x67802),x67801)))
% 225.13/225.10 [6785]E(f326(a105,f326(f326(f35(a1),f326(f104(a1),x67851)),f326(f104(a1),x67852))),f326(f326(f35(a917),f326(f104(a917),x67851)),f326(f104(a917),x67852)))+P105(f326(a193,f326(f104(a1),x67851)))
% 225.13/225.10 [6844]P105(f326(f326(f235(a917),x68441),x68442))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f3(a917),x68442),x68441)))
% 225.13/225.10 [6889]P105(f326(f326(f235(a917),f2(a917)),x68891))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f80(a917),x68892),x68891)))
% 225.13/225.10 [6890]P105(f326(f326(f235(a917),f2(a917)),x68901))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f80(a917),x68901),x68902)))
% 225.13/225.10 [6908]~P105(f326(f326(f234(a1),x69081),f2(a1)))+E(f326(f326(f80(a917),f326(a105,f326(f78(a1),x69081))),f326(a105,f326(f78(a1),x69082))),f326(a105,f326(f326(f80(a1),x69081),x69082)))
% 225.13/225.10 [6965]~E(x69652,f188(f925(x69651,a913)))+P105(f326(f326(f234(f925(x69651,a913)),x69652),f326(f78(f925(x69651,a913)),x69652)))
% 225.13/225.10 [7027]~P92(x70271)+E(f326(f326(f79(x70271),f326(f326(f79(x70271),f2(x70271)),f326(f104(x70271),x70272))),f326(f104(x70271),x70272)),f326(f104(x70271),f326(f326(f79(a1),x70272),x70272)))
% 225.13/225.10 [7083]~P105(f326(f326(f235(a1),x70831),x70832))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x70831),f77(a1))),x70832))
% 225.13/225.10 [7150]E(x71501,f2(a917))+~P105(f326(f326(f234(a1),f326(f100(a1),x71502)),f326(f78(a1),f326(f100(a1),x71501))))
% 225.13/225.10 [7151]E(x71511,f2(a917))+~P105(f326(f326(f234(a1),f326(f100(a1),x71511)),f326(f78(a1),f326(f100(a1),x71512))))
% 225.13/225.10 [7252]E(f326(f326(f251(a1,a1),f326(f104(a1),a97)),f326(f326(f79(a1),x72521),x72522)),f49(x72521,x72522))+~P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x72521),x72522)))
% 225.13/225.10 [7296]~P27(x72961,x72962)+P37(x72961,f326(f250(f925(f924(x72961,x72961),a913),f925(f924(x72961,x72961),a913)),x72962))
% 225.13/225.10 [7315]~P105(f326(f326(f234(a917),f326(a112,f2(a917))),x73151))+P105(f326(f326(f234(a917),f326(a112,f2(a917))),f326(f326(f243(a917),x73151),x73152)))
% 225.13/225.10 [7498]~P105(f326(f326(f234(a1),x74981),x74982))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x74981),x74981)),f326(f326(f79(a1),x74982),x74982)))
% 225.13/225.10 [7503]~P105(f326(f326(f235(a1),x75031),x75032))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x75031),x75031)),f326(f326(f79(a1),x75032),x75032)))
% 225.13/225.10 [7559]~P105(f326(f326(f235(a917),f2(a917)),x75591))+P105(f326(f326(f235(a917),f326(f326(f3(a917),x75591),f326(a112,x75592))),x75591))
% 225.13/225.10 [7593]P105(f326(f326(f234(a917),f326(a112,f2(a917))),x75931))+~P105(f326(f326(f234(a917),f326(a112,f2(a917))),f326(f326(f80(a917),x75932),x75931)))
% 225.13/225.10 [7594]P105(f326(f326(f234(a917),f326(a112,f2(a917))),x75941))+~P105(f326(f326(f234(a917),f326(a112,f2(a917))),f326(f326(f80(a917),x75941),x75942)))
% 225.13/225.10 [7598]P105(f326(f326(f234(a917),f326(f326(f164(a917),x75981),x75982)),f326(f165(a917),x75981)))+~P105(f326(f326(f235(a917),x75982),f326(f189(f918(a917)),x75981)))
% 225.13/225.10 [7636]P105(f326(f326(f235(a1),x76361),x76362))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x76361),f77(a1))),x76362))
% 225.13/225.10 [7678]P105(f326(f60(x76781),f241(f925(x76781,a913))))+~P105(f326(f60(f925(x76782,x76781)),f241(f925(f925(x76782,x76781),a913))))
% 225.13/225.10 [7679]P105(f326(f60(x76791),f241(f925(x76791,a913))))+~P105(f326(f60(f923(x76792,x76791)),f241(f925(f923(x76792,x76791),a913))))
% 225.13/225.10 [7680]P105(f326(f60(x76801),f241(f925(x76801,a913))))+~P105(f326(f60(f923(x76801,x76802)),f241(f925(f923(x76801,x76802),a913))))
% 225.13/225.10 [7718]E(x77181,f188(f925(x77182,a913)))+~P105(f326(f326(f234(f925(x77182,a913)),x77181),f326(f78(f925(x77182,a913)),x77181)))
% 225.13/225.10 [7858]E(f326(f142(f918(x78581),f918(x78581),f134(x78581),f113(x78581)),x78582),f113(x78581))+P105(f326(f326(f328(f918(x78581)),f697(x78582,x78581)),f326(f172(f918(x78581)),x78582)))
% 225.13/225.10 [7859]E(f326(f142(f918(x78591),f918(x78591),f134(x78591),f113(x78591)),x78592),f113(x78591))+P105(f326(f326(f328(f918(x78591)),f703(x78592,x78591)),f326(f172(f918(x78591)),x78592)))
% 225.13/225.10 [8094]P105(f326(f326(f234(a1),x80941),x80942))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x80941),x80941)),f326(f326(f79(a1),x80942),x80942)))
% 225.13/225.10 [8099]P105(f326(f326(f235(a1),x80991),x80992))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x80991),x80991)),f326(f326(f79(a1),x80992),x80992)))
% 225.13/225.10 [8193]~P120(x81931)+E(f326(f326(f80(x81931),f326(f326(f79(x81931),f77(x81931)),f77(x81931))),f326(f326(f8(a917,x81931),f100(x81931)),f302(a917,f77(a917),x81932))),f326(f326(f80(x81931),f326(f100(x81931),x81932)),f326(f326(f79(x81931),f326(f100(x81931),x81932)),f77(x81931))))
% 225.13/225.10 [8242]P105(f326(f326(f328(a917),x82421),x82422))+~P105(f326(f326(f328(a1),f326(f100(a1),x82421)),f326(f309(a917,a1,f100(a1)),x82422)))
% 225.13/225.10 [8400]~P105(f326(f60(x84001),x84002))+E(f326(f309(a917,x84001,f557(x84002,x84001)),f326(f261(a917),f326(f326(f9(a917,a917,a913),f235(a917)),f558(x84002,x84001)))),x84002)
% 225.13/225.10 [8677]P53(x86771,x86772)+P105(f326(f326(f328(f924(x86771,x86771)),f326(f326(f251(x86771,x86771),f426(x86772,x86771)),f426(x86772,x86771))),x86772))
% 225.13/225.10 [8678]P38(x86781,x86782)+P105(f326(f326(f328(f924(x86781,x86781)),f326(f326(f251(x86781,x86781),f789(x86782,x86781)),f792(x86782,x86781))),x86782))
% 225.13/225.10 [8679]P38(x86791,x86792)+P105(f326(f326(f328(f924(x86791,x86791)),f326(f326(f251(x86791,x86791),f792(x86792,x86791)),f793(x86792,x86791))),x86792))
% 225.13/225.10 [8680]P39(x86801,x86802)+P105(f326(f326(f328(f924(x86801,x86801)),f326(f326(f251(x86801,x86801),f707(x86802,x86801)),f706(x86802,x86801))),x86802))
% 225.13/225.10 [8681]P39(x86811,x86812)+P105(f326(f326(f328(f924(x86811,x86811)),f326(f326(f251(x86811,x86811),f706(x86812,x86811)),f707(x86812,x86811))),x86812))
% 225.13/225.10 [8682]P51(x86821,x86822)+P105(f326(f326(f328(f924(x86821,x86821)),f326(f326(f251(x86821,x86821),f803(x86822,x86821)),f804(x86822,x86821))),x86822))
% 225.13/225.10 [8823]~P92(x88231)+E(f326(f326(f3(x88231),f77(x88231)),f326(f104(x88231),x88232)),f326(f104(x88231),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x88232))))
% 225.13/225.10 [8948]~P105(f326(f326(f235(f925(a917,a913)),x89481),x89482))+P105(f326(f326(f235(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),x89481)),f326(f309(a917,a1,f100(a1)),x89482)))
% 225.13/225.10 [8982]~P105(f326(f326(f235(a1),x89821),x89822))+P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89821),x89821)),a97)),f326(f326(f79(a1),x89822),x89822)))
% 225.13/225.10 [8984]~P105(f326(f326(f235(a1),x89841),x89842))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89841),x89841)),a97)),f326(f326(f79(a1),x89842),x89842)))
% 225.13/225.10 [9057]~P105(f326(f326(f328(a917),x90571),f326(f172(a917),x90572)))+P105(f326(f326(f234(a917),x90571),f326(f142(a917,a917,f79(a917),f2(a917)),x90572)))
% 225.13/225.10 [9146]P46(x91461,x91462)+~P105(f326(f326(f328(f924(x91461,x91461)),f326(f326(f251(x91461,x91461),f371(x91462,x91461)),f371(x91462,x91461))),x91462))
% 225.13/225.10 [9147]P38(x91471,x91472)+~P105(f326(f326(f328(f924(x91471,x91471)),f326(f326(f251(x91471,x91471),f789(x91472,x91471)),f793(x91472,x91471))),x91472))
% 225.13/225.10 [9148]P51(x91481,x91482)+~P105(f326(f326(f328(f924(x91481,x91481)),f326(f326(f251(x91481,x91481),f804(x91482,x91481)),f803(x91482,x91481))),x91482))
% 225.13/225.10 [9287]~P105(f326(f326(f234(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),x92871)),f326(f309(a917,a1,f100(a1)),x92872)))+P105(f326(f326(f234(f925(a917,a913)),x92871),x92872))
% 225.13/225.10 [9288]~P105(f326(f326(f235(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),x92881)),f326(f309(a917,a1,f100(a1)),x92882)))+P105(f326(f326(f235(f925(a917,a913)),x92881),x92882))
% 225.13/225.10 [9372]P105(f326(f326(f235(a1),x93721),x93722))+~P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93721),x93721)),a97)),f326(f326(f79(a1),x93722),x93722)))
% 225.13/225.10 [9374]P105(f326(f326(f235(a1),x93741),x93742))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93741),x93741)),a97)),f326(f326(f79(a1),x93742),x93742)))
% 225.13/225.10 [10272]~P103(x102721)+E(f116(f918(x102721),f326(f129(f918(x102721)),f113(x102721)),f326(f326(f326(f96(f919(f918(x102721))),f326(f326(f235(a1),f2(a1)),x102722)),f326(f118(f924(x102721,f918(x102721)),f918(x102721),f131(x102721,f918(x102721),f132(x102721,f326(f326(f3(a1),x102722),f77(a1))),f132(f918(x102721),f326(f326(f3(a1),x102722),f77(a1))))),f326(f256(x102721,f918(x102721),f919(f918(x102721))),f326(f326(f10(f925(f918(x102721),f918(x102721)),f925(f918(x102721),f919(f918(x102721))),x102721),f326(f10(f918(x102721),f919(f918(x102721)),f918(x102721)),f129(f918(x102721)))),f151(x102721))))),f115(f918(x102721)))),f132(f918(x102721),x102722))
% 225.13/225.10 [10294]~P105(f326(f60(x102941),x102942))+E(f326(f189(f918(x102941)),f89(f918(x102941),f326(f326(f20(f918(x102941),a913,a913),f326(f326(f10(a913,f925(a913,a913),f918(x102941)),a324),f326(f326(f9(f918(x102941),f925(x102941,a913),a913),f326(f326(f10(f925(x102941,a913),f925(f925(x102941,a913),a913),f918(x102941)),a323),f172(x102941))),x102942))),f137(x102941)))),f214(x102941,x102942))
% 225.13/225.10 [6272]E(f326(f326(f79(a917),f326(f326(f3(a917),x62721),x62722)),x62722),x62721)+~P105(f326(f326(f234(a917),x62722),x62721))
% 225.13/225.10 [6343]E(f326(f326(f35(a917),f326(f326(f80(a917),x63431),x63432)),x63432),x63431)+~P105(f326(f326(f235(a917),f2(a917)),x63432))
% 225.13/225.10 [6344]E(f326(f326(f35(a917),f326(f326(f80(a917),x63441),x63442)),x63441),x63442)+~P105(f326(f326(f235(a917),f2(a917)),x63441))
% 225.13/225.10 [6348]~P70(x63481)+E(f326(f326(f8(a917,x63481),f326(f164(x63481),x63482)),f326(f301(a917,f2(a917)),f326(f189(f918(x63481)),x63482))),f326(f165(x63481),x63482))
% 225.13/225.10 [6459]E(f44(a917,f326(a112,f326(f326(f80(a917),x64591),x64592)),x64591),f77(a917))+~P105(f326(f326(f235(a917),f77(a917)),x64591))
% 225.13/225.10 [6465]E(f326(a112,f326(f326(f79(a917),f326(f104(a917),x64651)),x64652)),f326(f326(f79(a917),f77(a917)),x64652))+~P105(f326(a193,f326(f104(a1),x64651)))
% 225.13/225.10 [6494]E(f326(a105,f326(f326(f243(a1),f326(f104(a1),x64941)),x64942)),f326(f326(f243(a917),f326(f104(a917),x64941)),x64942))+P105(f326(a193,f326(f104(a1),x64941)))
% 225.13/225.10 [6735]E(f326(f326(f3(a917),x67351),f326(f104(a917),f326(f326(f79(a1),x67352),a97))),f326(f326(f3(a917),f326(a112,x67351)),f326(f104(a917),x67352)))+~P105(f326(f326(f235(a1),a82),x67352))
% 225.13/225.10 [6816]E(x68161,f2(a917))+E(f326(a112,f326(f326(f79(a917),f326(f326(f3(a917),x68161),f77(a917))),x68162)),f326(f326(f79(a917),x68161),x68162))
% 225.13/225.10 [6857]E(x68571,f2(a1))+P105(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68571)),x68572)))
% 225.13/225.10 [6872]~E(x68722,f2(a917))+P105(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68721)),x68722)))
% 225.13/225.10 [6911]E(x69111,f2(a917))+E(f326(f326(f79(a917),x69112),f326(f326(f80(a917),f326(f326(f3(a917),x69111),f77(a917))),x69112)),f326(f326(f80(a917),x69111),x69112))
% 225.13/225.10 [6958]~P105(f326(f326(f234(a1),x69581),x69582))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x69581),a97)),x69582))
% 225.13/225.10 [7087]E(f326(f326(f151(a917),x70871),f139(a917,f326(f301(a917,f326(a112,x70871)),x70872))),f139(a917,f326(f301(a917,x70871),x70872)))+~P105(f326(f326(f235(a917),x70871),x70872))
% 225.13/225.10 [7287]E(x72871,x72872)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x72871),x72871)),a97),f326(f326(f3(a1),f326(f326(f79(a1),x72872),x72872)),a97))
% 225.13/225.10 [7290]E(x72901,f113(x72902))+E(f265(x72902,f326(f326(f154(x72902,f924(a99,x72902)),f326(f251(a99,x72902),f77(a99))),x72901)),f274(x72902,x72901))
% 225.13/225.10 [7529]P105(f326(f326(f234(a1),x75291),x75292))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x75291),a97)),x75292))
% 225.13/225.10 [7999]~P105(f326(f326(f235(a917),x79991),x79992))+P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x79991),x79992)),a239))
% 225.13/225.10 [8219]~P105(f326(f326(f235(a99),f2(a99)),x82191))+P105(f326(f326(f235(a99),f326(f250(a99,f924(a99,a99)),f326(f266(x82191),x82192))),x82191))
% 225.13/225.10 [8481]~P38(x84811,x84812)+P38(x84811,f326(f326(f101(f925(f924(x84811,x84811),a913)),x84812),f306(x84811,f188(f925(f924(x84811,x84811),a913)))))
% 225.13/225.10 [8482]~P39(x84821,x84822)+P39(x84821,f326(f326(f101(f925(f924(x84821,x84821),a913)),x84822),f306(x84821,f188(f925(f924(x84821,x84821),a913)))))
% 225.13/225.10 [8530]~P84(x85301)+P105(f326(f326(f234(x85301),f326(f75(x85301),f326(f165(x85301),x85302))),f326(f165(x85301),f326(f326(f154(x85301,x85301),f75(x85301)),x85302))))
% 225.13/225.10 [8555]P105(f326(f326(f235(a917),x85551),x85552))+~P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x85551),x85552)),a239))
% 225.13/225.10 [8701]E(f326(f326(f251(x87011,x87011),f634(x87012,x87011)),f634(x87012,x87011)),x87012)+~P105(f326(f326(f328(f924(x87011,x87011)),x87012),f306(x87011,f188(f925(f924(x87011,x87011),a913)))))
% 225.13/225.10 [8745]E(f326(f301(a917,x87451),f326(f326(f79(a917),x87451),f326(f34(a917),x87452))),x87452)+~P105(f326(f326(f234(f925(a917,a913)),x87452),f326(f301(a917,x87451),f326(f326(f79(a917),x87451),f326(f34(a917),x87452)))))
% 225.13/225.10 [8975]P39(x89751,x89752)+~P39(x89751,f326(f326(f101(f925(f924(x89751,x89751),a913)),x89752),f306(x89751,f188(f925(f924(x89751,x89751),a913)))))
% 225.13/225.10 [9101]E(f326(f326(f35(a1),f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x91011),x91011)),a97))),f326(f104(a1),f326(f326(f79(a1),x91012),x91012))),f326(f326(f35(a1),f326(f104(a1),x91011)),f326(f104(a1),x91012)))+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x91012)))
% 225.13/225.10 [9191]~P38(x91911,x91912)+P105(f326(f326(f234(f925(f924(x91911,x91911),a913)),f326(f326(f288(x91911,x91911,x91911),x91912),x91912)),x91912))
% 225.13/225.10 [9217]E(f177(f918(x92171),f326(f326(f10(a913,a913,f918(x92171)),a321),f326(f326(f9(f918(x92171),f918(x92171),a913),a323),f113(x92171))),x92172),f179(x92171,f179(x92171,x92172)))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x92171),a917),f189(f918(x92171))),x92172)))
% 225.13/225.10 [9220]E(f326(f326(f35(a1),f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92201),x92201)),a97))),f326(f104(a1),f326(f326(f79(a1),x92202),x92202))),f326(f326(f35(a1),f326(f326(f79(a1),f326(f104(a1),x92201)),f77(a1))),f326(f104(a1),x92202)))+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x92202)))
% 225.13/225.10 [10066]P105(f326(a193,x100662))+E(f326(f326(f85(a1,a917),f326(f326(f3(a1),x100661),x100662)),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f2(a917))),a105)),f326(f326(f3(a917),f326(a105,x100661)),f326(a105,x100662)))
% 225.13/225.10 [10074]E(f326(f326(f85(a1,a917),f326(f104(a1),f326(f326(f79(a1),x100741),f326(f78(a1),x100742)))),f326(f326(f20(a1,a917,a917),f326(f326(f9(a1,a917,f925(a917,a917)),f326(f326(f10(a913,f925(a917,f925(a917,a917)),a1),f96(a917)),a193)),f2(a917))),a105)),f326(f326(f3(a917),f326(f104(a917),x100741)),f326(f104(a917),x100742)))+P105(f326(f326(f235(a1),x100742),a82))
% 225.13/225.10 [10075]~P27(x100751,x100752)+P105(f326(f326(f234(f925(f924(x100751,x100751),a913)),f326(f326(f288(x100751,x100751,x100751),f326(f250(f925(f924(x100751,x100751),a913),f925(f924(x100751,x100751),a913)),x100752)),f326(f255(f925(f924(x100751,x100751),a913),f925(f924(x100751,x100751),a913)),x100752))),f326(f250(f925(f924(x100751,x100751),a913),f925(f924(x100751,x100751),a913)),x100752)))
% 225.13/225.10 [10131]~E(f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,f925(a917,a913),a913),f328(a917)),x101311))),f326(f326(f9(a917,a917,a913),f235(a917)),f326(a112,x101312))))),f2(a917))+~P105(f326(f326(f328(a917),f2(a917)),x101311))
% 225.13/225.10 [10142]E(f298(a917,f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x101421,x101422),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x101422),x101421))
% 225.13/225.10 [10147]E(f299(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x101471,x101472),f188(f925(a917,a913)))+P105(f326(f326(f286(a917),x101471),x101472))
% 225.13/225.10 [10148]E(f296(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x101481,x101482),f188(f925(a917,a913)))+P105(f326(f326(f286(a917),x101481),x101482))
% 225.13/225.10 [10152]E(f299(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x101521,x101522),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x101522),x101521))
% 225.13/225.10 [10154]E(f296(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x101541,x101542),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x101542),x101541))
% 225.13/225.10 [10198]E(f44(a1,f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x101981),x101981)),a97)),f326(f104(a1),f326(f326(f79(a1),x101982),x101982))),f326(f326(f79(a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f104(a1),x101981),f326(f104(a1),x101982)))),f77(a1)))+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x101982)))
% 225.13/225.10 [10207]E(f44(a1,f326(f104(a1),f326(f326(f3(a1),f326(f326(f79(a1),x102071),x102071)),a97)),f326(f104(a1),f326(f326(f79(a1),x102072),x102072))),f326(f326(f3(a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f326(f79(a1),f326(f104(a1),x102071)),f77(a1)),f326(f104(a1),x102072)))),f77(a1)))+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x102072)))
% 225.13/225.10 [10261]~P5(x102611)+E(f36(x102611,f326(f261(x102611),f326(f326(f10(f925(x102611,a913),a913,x102611),f87(x102611)),f326(f326(f10(f925(x102611,a913),f925(x102611,a913),x102611),f326(f20(x102611,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102611),a329),f326(f326(f9(x102611,f925(x102611,a913),a913),f328(x102611)),x102612)))),f234(x102611))))),f37(x102611,x102612))
% 225.13/225.10 [10287]~P37(x102871,x102872)+P59(x102871,f326(f326(f9(x102871,f925(f924(x102871,x102871),a913),f925(x102871,a913)),f326(f326(f10(f925(x102871,f925(f925(f924(x102871,x102871),a913),a913)),f925(f925(f924(x102871,x102871),a913),f925(x102871,a913)),x102871),f9(x102871,f925(f924(x102871,x102871),a913),a913)),f326(f326(f10(f925(x102871,f924(x102871,x102871)),f925(x102871,f925(f925(f924(x102871,x102871),a913),a913)),x102871),f326(f10(f924(x102871,x102871),f925(f925(f924(x102871,x102871),a913),a913),x102871),f328(f924(x102871,x102871)))),f251(x102871,x102871)))),x102872))
% 225.13/225.10 [10288]~P8(x102881,f241(f925(x102881,a913)),x102882)+P7(x102881,f326(f326(f9(x102881,f925(f924(x102881,x102881),a913),f925(x102881,a913)),f326(f326(f10(f925(x102881,f925(f925(f924(x102881,x102881),a913),a913)),f925(f925(f924(x102881,x102881),a913),f925(x102881,a913)),x102881),f9(x102881,f925(f924(x102881,x102881),a913),a913)),f326(f326(f10(f925(x102881,f924(x102881,x102881)),f925(x102881,f925(f925(f924(x102881,x102881),a913),a913)),x102881),f326(f10(f924(x102881,x102881),f925(f925(f924(x102881,x102881),a913),a913),x102881),f328(f924(x102881,x102881)))),f251(x102881,x102881)))),x102882))
% 225.13/225.10 [10331]P37(x103311,x103312)+~P59(x103311,f326(f326(f9(x103311,f925(f924(x103311,x103311),a913),f925(x103311,a913)),f326(f326(f10(f925(x103311,f925(f925(f924(x103311,x103311),a913),a913)),f925(f925(f924(x103311,x103311),a913),f925(x103311,a913)),x103311),f9(x103311,f925(f924(x103311,x103311),a913),a913)),f326(f326(f10(f925(x103311,f924(x103311,x103311)),f925(x103311,f925(f925(f924(x103311,x103311),a913),a913)),x103311),f326(f10(f924(x103311,x103311),f925(f925(f924(x103311,x103311),a913),a913),x103311),f328(f924(x103311,x103311)))),f251(x103311,x103311)))),x103312))
% 225.13/225.10 [10332]P8(x103321,f241(f925(x103321,a913)),x103322)+~P7(x103321,f326(f326(f9(x103321,f925(f924(x103321,x103321),a913),f925(x103321,a913)),f326(f326(f10(f925(x103321,f925(f925(f924(x103321,x103321),a913),a913)),f925(f925(f924(x103321,x103321),a913),f925(x103321,a913)),x103321),f9(x103321,f925(f924(x103321,x103321),a913),a913)),f326(f326(f10(f925(x103321,f924(x103321,x103321)),f925(x103321,f925(f925(f924(x103321,x103321),a913),a913)),x103321),f326(f10(f924(x103321,x103321),f925(f925(f924(x103321,x103321),a913),a913),x103321),f328(f924(x103321,x103321)))),f251(x103321,x103321)))),x103322))
% 225.13/225.10 [7478]E(f326(f326(f79(a917),f326(f104(a917),f326(f326(f3(a1),x74781),a97))),x74782),f326(a112,f326(f326(f79(a917),f326(f104(a917),x74781)),x74782)))+P105(f326(a193,f326(f104(a1),x74781)))
% 225.13/225.10 [7917]~P92(x79171)+E(f326(f326(f79(x79171),f326(f326(f79(x79171),f77(x79171)),f326(f104(x79171),x79172))),f326(f104(x79171),x79172)),f326(f104(x79171),f326(f326(f3(a1),f326(f326(f79(a1),x79172),x79172)),a97)))
% 225.13/225.10 [8557]~P105(f326(f326(f234(a1),x85571),x85572))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x85571),x85571)),f326(f326(f3(a1),f326(f326(f79(a1),x85572),x85572)),a97)))
% 225.13/225.10 [8559]~P105(f326(f326(f234(a1),x85591),x85592))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x85591),x85591)),f326(f326(f3(a1),f326(f326(f79(a1),x85592),x85592)),a97)))
% 225.13/225.10 [8986]P105(f326(f326(f234(a1),x89861),x89862))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x89861),x89861)),f326(f326(f3(a1),f326(f326(f79(a1),x89862),x89862)),a97)))
% 225.13/225.10 [8988]P105(f326(f326(f234(a1),x89881),x89882))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),x89881),x89881)),f326(f326(f3(a1),f326(f326(f79(a1),x89882),x89882)),a97)))
% 225.13/225.10 [9276]~P105(f326(f326(f234(a1),x92761),x92762))+P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92761),x92761)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92762),x92762)),a97)))
% 225.13/225.10 [9278]~P105(f326(f326(f235(a1),x92781),x92782))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92781),x92781)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92782),x92782)),a97)))
% 225.13/225.10 [9547]P105(f326(f326(f234(a1),x95471),x95472))+~P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95471),x95471)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95472),x95472)),a97)))
% 225.13/225.10 [9549]P105(f326(f326(f235(a1),x95491),x95492))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95491),x95491)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95492),x95492)),a97)))
% 225.13/225.10 [9582]~P105(f326(f60(x95821),x95822))+P105(f326(f60(f925(x95821,a913)),f326(f261(f925(x95821,a913)),f326(f326(f9(f925(x95821,a913),f925(x95821,a913),a913),f234(f925(x95821,a913))),x95822))))
% 225.13/225.10 [9634]~E(f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),x96341),f188(f925(f924(a917,a917),a913)))),f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),x96342),f188(f925(f924(a917,a917),a913)))))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x96341),x96342)),a109))
% 225.13/225.10 [9726]E(f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),x97261),f188(f925(f924(a917,a917),a913)))),f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),x97262),f188(f925(f924(a917,a917),a913)))))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x97261),x97262)),a109))
% 225.13/225.10 [9762]P105(f326(f326(f234(a1),f2(a1)),f642(x97621,x97622)))+E(f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97621)),f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97622)))
% 225.13/225.10 [10269]~P5(x102691)+E(f37(x102691,f326(f261(x102691),f326(f326(f10(f925(x102691,a913),a913,x102691),f87(x102691)),f326(f326(f10(f925(x102691,a913),f925(x102691,a913),x102691),f326(f20(x102691,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102691),a329),f326(f326(f9(x102691,f925(x102691,a913),a913),f328(x102691)),x102692)))),f326(f9(x102691,x102691,a913),f234(x102691)))))),f36(x102691,x102692))
% 225.13/225.10 [10293]P105(f326(f326(f328(a917),f2(a917)),x102931))+E(f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),a917),f328(a917)),a112)),x102931))),f326(f326(f9(a917,a917,a913),f235(a917)),x102932)))),f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,f925(a917,a913),a913),f328(a917)),x102931))),f326(f326(f9(a917,a917,a913),f235(a917)),f326(a112,x102932))))))
% 225.13/225.10 [7784]~P92(x77841)+E(f326(f326(f80(x77841),x77842),f326(f104(x77841),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x77842)
% 225.13/225.10 [8046]~P92(x80461)+E(f326(f326(f79(x80461),f326(f104(x80461),x80462)),f77(x80461)),f326(f104(x80461),f326(f326(f79(a1),x80462),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 225.13/225.10 [8191]P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x81912)))+E(f326(f326(f243(a1),x81911),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x81912),x81912)),a97))),f77(a1))
% 225.13/225.10 [9609]~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x96092)))+E(f326(f326(f243(a1),x96091),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x96092),x96092)),a97))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x96091),f326(f104(a917),x96092))),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f925(a1,a1),a1),f80(a1)),f326(f80(a1),x96091))),f7(a1))))
% 225.13/225.10 [9984]~P105(f326(f326(f234(a917),f651(x99842,x99841)),f326(x99841,f651(x99842,x99841))))+P105(f326(f60(a917),f326(f261(a917),f326(f326(f9(a917,a917,a913),f326(f326(f10(a917,f925(a917,a913),a917),f234(a917)),x99841)),x99842))))
% 225.13/225.10 [10121]~P105(f326(f326(f234(a917),f326(f104(a917),x101211)),f326(a112,x101212)))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x101211),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),f234(a917)),a105)),x101212))))
% 225.13/225.10 [10122]~P105(f326(f326(f235(a917),f326(f104(a917),x101221)),f326(a112,x101222)))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x101221),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),f235(a917)),a105)),x101222))))
% 225.13/225.10 [10182]P105(f326(f326(f234(a917),f326(f104(a917),x101821)),f326(a112,x101822)))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x101821),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),f234(a917)),a105)),x101822))))
% 225.13/225.10 [10183]P105(f326(f326(f235(a917),f326(f104(a917),x101831)),f326(a112,x101832)))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x101831),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),f235(a917)),a105)),x101832))))
% 225.13/225.10 [10213]~P105(f326(f326(f234(a917),f326(a112,x102132)),f326(f104(a917),x102131)))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102131),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f10(a917,a913,a1),f326(f234(a917),x102132)),a105)))))
% 225.13/225.10 [10214]~P105(f326(f326(f235(a917),f326(a112,x102142)),f326(f104(a917),x102141)))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102141),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f10(a917,a913,a1),f326(f235(a917),x102142)),a105)))))
% 225.13/225.10 [10259]P105(f326(f326(f234(a917),f326(a112,x102591)),f326(f104(a917),x102592)))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102592),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f10(a917,a913,a1),f326(f234(a917),x102591)),a105)))))
% 225.13/225.10 [10260]P105(f326(f326(f235(a917),f326(a112,x102601)),f326(f104(a917),x102602)))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102602),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f10(a917,a913,a1),f326(f235(a917),x102601)),a105)))))
% 225.13/225.10 [10341]~P105(f326(f326(f328(a917),f2(a917)),x103411))+E(f326(a112,f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,f925(a917,a913),a913),f326(f326(f10(a917,f925(f925(a917,a913),a913),a917),f328(a917)),a112)),x103411))),f326(f326(f9(a917,a917,a913),f235(a917)),x103412))))),f326(f34(a917),f326(f261(a917),f326(f326(f20(a917,a913,a913),f326(f326(f10(a913,f925(a913,a913),a917),a324),f326(f326(f9(a917,f925(a917,a913),a913),f328(a917)),x103411))),f326(f326(f9(a917,a917,a913),f235(a917)),f326(a112,x103412))))))
% 225.13/225.10 [8728]~P92(x87281)+E(f326(f326(f80(x87281),f326(f104(x87281),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x87282),x87282)
% 225.13/225.10 [8789]~P92(x87891)+E(f326(f326(f79(x87891),f77(x87891)),f326(f104(x87891),x87892)),f326(f104(x87891),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x87892)))
% 225.13/225.10 [8851]~P92(x88511)+E(f326(f326(f3(x88511),f326(f104(x88511),x88512)),f77(x88511)),f326(f104(x88511),f326(f326(f79(a1),x88512),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [9005]~P105(f326(f326(f235(a917),f326(f104(a917),a82)),x90052))+E(f326(f326(f3(a917),x90051),f326(f326(f3(a917),x90052),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f3(a917),f326(a112,x90051)),x90052))
% 225.13/225.10 [9652]~P120(x96521)+E(f326(f326(f80(x96521),x96522),x96522),f326(f326(f243(x96521),x96522),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [9653]~P79(x96531)+E(f326(f326(f243(x96531),x96532),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f80(x96531),x96532),x96532))
% 225.13/225.10 [9655]~P92(x96551)+E(f326(f326(f80(x96551),x96552),f326(f104(x96551),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(x96551),x96552),x96552))
% 225.13/225.10 [9902]~P113(x99021)+E(f326(f326(f243(x99021),f326(f75(x99021),x99022)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99021),x99022),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [9903]~P141(x99031)+E(f326(f326(f243(x99031),f326(f78(x99031),x99032)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99031),x99032),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [9899]~P92(x98991)+E(f326(f326(f80(x98991),f326(f104(x98991),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x98992),f326(f326(f79(x98991),x98992),x98992))
% 225.13/225.10 [10017]~P113(x100171)+E(f326(f75(x100171),f326(f326(f243(x100171),x100172),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x100171),x100172),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [10082]~P113(x100821)+P105(f326(f326(f234(x100821),f2(x100821)),f326(f326(f243(x100821),x100822),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.10 [10250]~E(f326(a112,x102502),f326(f104(a917),x102501))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102501),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),a323),a105)),x102502)))))
% 225.13/225.10 [10251]~E(f326(f104(a917),x102511),f326(a112,x102512))+P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102511),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),a323),a105)),x102512)))))
% 225.13/225.10 [10296]E(f326(a112,x102961),f326(f104(a917),x102962))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102962),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),a323),a105)),x102961)))))
% 225.13/225.10 [10297]E(f326(f104(a917),x102971),f326(a112,x102972))+~P105(f326(f326(f85(a1,a913),f326(f104(a1),f326(f326(f79(a1),x102971),a97))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a329),f326(f326(f10(a913,a913,a1),a321),a193))),f326(f326(f9(a1,a917,a913),f326(f326(f10(a917,f925(a917,a913),a1),a323),a105)),x102972)))))
% 225.13/225.10 [10342]~P15(x103421,x103422)+P105(f326(f326(f328(f925(x103421,a913)),f811(x103422,x103421)),f326(f326(f10(f925(x103421,a913),a913,f925(x103421,a913)),f86(x103421)),f326(f326(f10(f925(x103421,a913),f925(x103421,a913),f925(x103421,a913)),f326(f20(x103421,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103421),a324),f326(f326(f20(x103421,x103421,a913),x103422),f7(x103421))))),f326(f326(f9(f925(x103421,a913),f925(x103421,f925(x103421,a913)),f925(x103421,a913)),f326(f326(f10(f925(f925(x103421,a913),a913),f925(f925(x103421,f925(x103421,a913)),f925(x103421,a913)),f925(x103421,a913)),f10(f925(x103421,a913),a913,x103421)),a323)),x103422)))))
% 225.13/225.10 [10080]~P92(x100801)+E(f326(f326(f243(x100801),f326(f104(x100801),a97)),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100802)),f77(x100801))
% 225.13/225.10 [10081]~P141(x100811)+E(f326(f326(f243(x100811),f326(f78(x100811),f77(x100811))),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100812)),f77(x100811))
% 225.13/225.10 [10084]~P79(x100841)+E(f326(f326(f243(x100841),x100842),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f326(f80(x100841),f326(f326(f80(x100841),x100842),x100842)),x100842))
% 225.13/225.10 [10276]~P105(f326(f326(f234(a1),f2(a1)),x102762))+E(f44(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102761)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102762)),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,x102761,x102762))))
% 225.13/225.10 [10299]~P105(f326(f326(f234(a1),f2(a1)),x102992))+E(f326(f326(f35(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102991))),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102992)),f326(f326(f35(a1),x102991),x102992))
% 225.13/225.10 [10301]~P105(f326(f326(f234(a1),x103012),f2(a1)))+E(f326(f326(f35(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103011))),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103012)),f326(f326(f35(a1),f326(f326(f79(a1),x103011),f77(a1))),x103012))
% 225.13/225.10 [10302]~P105(f326(f326(f234(a1),x103022),f2(a1)))+E(f44(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103021)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103022)),f326(f326(f3(a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f44(a1,f326(f326(f79(a1),x103021),f77(a1)),x103022))),f77(a1)))
% 225.13/225.10 [10173]~P92(x101731)+E(f326(f326(f243(x101731),f326(f104(x101731),a97)),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101732))),f326(f104(x101731),a97))
% 225.13/225.10 [10175]~P141(x101751)+E(f326(f326(f243(x101751),f326(f78(x101751),f77(x101751))),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101752))),f326(f78(x101751),f77(x101751)))
% 225.13/225.10 [5129]P38(x51291,x51292)+~P8(x51291,x51293,x51292)
% 225.13/225.10 [5131]P51(x51311,x51312)+~P8(x51311,x51313,x51312)
% 225.13/225.10 [5302]~P8(x53021,x53022,x53023)+P52(x53021,x53022,x53023)
% 225.13/225.10 [8257]~E(x82572,x82573)+P34(x82571,x82571,a323,x82572,x82573)
% 225.13/225.10 [8802]E(x88021,x88022)+~P34(x88023,x88023,a323,x88021,x88022)
% 225.13/225.10 [4933]E(f169(x49331,x49332,x49333),f113(x49331))+~E(x49332,f2(a917))
% 225.13/225.10 [5101]~E(f169(x51012,x51011,x51013),f113(x51012))+E(x51011,f2(a917))
% 225.13/225.10 [5307]~P37(x53071,x53073)+P37(x53071,f320(x53071,x53072,x53073))
% 225.13/225.10 [5416]~P29(x54161,x54162,x54163)+P31(a1,x54161,f178(x54162,x54163))
% 225.13/225.10 [5490]P29(x54901,x54902,x54903)+~P31(a1,x54901,f178(x54902,x54903))
% 225.13/225.10 [5561]~P8(x55611,x55612,x55613)+P8(f918(x55611),f161(x55611,x55612),f158(x55611,x55613))
% 225.13/225.10 [5562]~P52(x55621,x55622,x55623)+P52(f918(x55621),f161(x55621,x55622),f158(x55621,x55623))
% 225.13/225.10 [5673]P54(x56731,x56732,x56733)+~E(f599(x56733,x56732,x56731),f600(x56733,x56732,x56731))
% 225.13/225.10 [5674]P55(x56741,x56742,x56743)+~E(f617(x56743,x56742,x56741),f618(x56743,x56742,x56741))
% 225.13/225.10 [8263]~E(x82632,x82633)+P26(x82631,x82631,f31(x82631),x82632,x82633)
% 225.13/225.10 [8810]E(x88101,x88102)+~P26(x88103,x88103,f31(x88103),x88101,x88102)
% 225.13/225.10 [4888]~E(f326(f168(x48882),x48881),x48883)+E(x48881,f326(f168(x48882),x48883))
% 225.13/225.10 [4889]~E(x48892,f326(f168(x48891),x48893))+E(f326(f168(x48891),x48892),x48893)
% 225.13/225.10 [4939]E(x49391,x49392)+~E(f326(f168(x49393),x49391),f326(f168(x49393),x49392))
% 225.13/225.10 [5155]~P7(x51553,x51551)+P105(f326(f326(x51551,x51552),x51552))
% 225.13/225.10 [5156]~P43(x51563,x51561)+P105(f326(f326(x51561,x51562),x51562))
% 225.13/225.10 [5158]~P59(x51581,x51582)+P105(f326(f314(x51581,x51582),x51583))
% 225.13/225.10 [5223]~P37(x52231,x52232)+P37(f918(x52231),f326(f143(x52231,x52232),x52233))
% 225.13/225.10 [5228]~P105(f326(x52282,x52283))+~E(f326(f261(x52281),x52282),f188(f925(x52281,a913)))
% 225.13/225.10 [5229]~P105(f326(x52292,x52293))+~E(f188(f925(x52291,a913)),f326(f261(x52291),x52292))
% 225.13/225.10 [5241]E(x52411,f2(a917))+E(f144(x52412,f169(x52412,x52411,x52413)),x52413)
% 225.13/225.10 [5260]~P105(f326(x52601,x52603))+P105(f326(x52601,f89(x52602,x52601)))
% 225.13/225.10 [5261]~P105(f326(x52611,x52613))+P105(f326(x52611,f738(x52611,x52612)))
% 225.13/225.10 [5273]E(x52731,f2(a917))+E(f326(f141(x52732),f169(x52732,x52731,x52733)),x52733)
% 225.13/225.10 [5378]~E(x53782,x53783)+P105(f326(f326(f328(x53781),x53782),f326(a323,x53783)))
% 225.13/225.10 [5394]~E(x53942,f2(a917))+E(f326(f172(x53941),f169(x53941,x53942,x53943)),f188(f925(x53941,a913)))
% 225.13/225.10 [5438]E(f326(f168(x54381),x54382),f326(f326(f151(x54381),x54383),f113(x54381)))+~E(x54382,f326(f326(f151(x54381),x54383),f113(x54381)))
% 225.13/225.10 [5439]~E(x54393,f326(f326(f151(x54391),x54392),f113(x54391)))+E(f326(f326(f151(x54391),x54392),f113(x54391)),f326(f168(x54391),x54393))
% 225.13/225.10 [5486]~P33(x54861,x54862,x54863)+P33(x54861,x54862,f326(f168(x54861),x54863))
% 225.13/225.10 [5487]~P31(x54871,x54872,x54873)+P31(x54871,x54872,f326(f168(x54871),x54873))
% 225.13/225.10 [5491]E(f326(f34(x54911),f818(x54912,x54913,x54911)),x54912)+~E(f326(f34(x54911),x54913),f326(a112,x54912))
% 225.13/225.10 [5498]~P37(x54981,x54983)+P105(f326(f326(f328(x54981),x54982),f315(x54981,x54983)))
% 225.13/225.10 [5502]~E(f326(f168(x55022),x55021),f326(f326(f151(x55022),x55023),f113(x55022)))+E(x55021,f326(f326(f151(x55022),x55023),f113(x55022)))
% 225.13/225.10 [5503]~E(f326(f326(f151(x55032),x55033),f113(x55032)),f326(f168(x55032),x55031))+E(x55031,f326(f326(f151(x55032),x55033),f113(x55032)))
% 225.13/225.10 [5526]E(f84(f924(a917,a917),f47(x55261,x55262)),x55263)+~P105(f326(f47(x55261,x55262),x55263))
% 225.13/225.10 [5565]P33(x55651,x55652,x55653)+~P33(x55651,x55652,f326(f168(x55651),x55653))
% 225.13/225.10 [5566]P31(x55661,x55662,x55663)+~P31(x55661,x55662,f326(f168(x55661),x55663))
% 225.13/225.10 [5604]P105(f326(f326(x56041,x56042),x56042))+~P105(f326(f269(x56043,x56041),x56042))
% 225.13/225.10 [5605]~P105(f326(f326(x56052,x56053),x56053))+P105(f326(f269(x56051,x56052),x56053))
% 225.13/225.10 [5627]~E(x56272,f113(x56271))+P105(f326(f326(f328(f918(x56271)),x56272),f161(x56271,x56273)))
% 225.13/225.10 [5636]~P52(x56361,x56362,x56363)+P52(x56361,x56362,f326(f285(x56361,x56361),x56363))
% 225.13/225.10 [5637]~P55(x56371,x56372,x56373)+P55(x56371,x56372,f326(f285(x56371,x56371),x56373))
% 225.13/225.10 [5654]~P3(x56541)+E(f44(x56541,f44(x56541,x56542,x56543),x56543),f44(x56541,x56542,x56543))
% 225.13/225.10 [5756]E(x57561,x57562)+~P105(f326(f326(f328(x57563),x57561),f326(a323,x57562)))
% 225.13/225.10 [5803]~P145(x58031)+E(f190(x58031,x58032,f2(a917),x58033),x58033)
% 225.13/225.10 [5825]P52(x58251,x58252,x58253)+~P52(x58251,x58252,f326(f285(x58251,x58251),x58253))
% 225.13/225.10 [5826]P55(x58261,x58262,x58263)+~P55(x58261,x58262,f326(f285(x58261,x58261),x58263))
% 225.13/225.10 [5830]~P108(x58302)+E(f150(x58301,x58302,x58303,f113(x58301)),f113(x58301))
% 225.13/225.10 [5842]E(f170(x58421,x58422,f152(x58421,x58423)),f152(x58421,f170(x58421,x58422,x58423)))+~P105(f326(f137(x58421),x58423))
% 225.13/225.10 [5941]~P105(f326(f326(x59413,x59412),x59412))+P105(f326(f326(f328(x59411),x59412),f269(x59411,x59413)))
% 225.13/225.10 [5943]E(f326(f136(x59431,x59432),x59433),f113(x59431))+P105(f326(x59432,f675(x59433,x59432,x59431)))
% 225.13/225.10 [6008]E(f67(x60081,x60082,x60083),x60082)+P105(f326(x60083,f739(x60082,x60081,x60083)))
% 225.13/225.10 [6104]~P105(f326(f137(x61041),x61042))+P105(f326(f137(x61041),f176(x61041,x61042,x61043)))
% 225.13/225.10 [6105]~P105(f326(f137(x61051),x61053))+P105(f326(f137(x61051),f170(x61051,x61052,x61053)))
% 225.13/225.10 [6106]~P105(f326(f137(x61061),x61063))+P105(f326(f137(x61061),f177(x61061,x61062,x61063)))
% 225.13/225.10 [6107]~P105(f326(f137(x61071),x61073))+P105(f326(f137(x61071),f140(x61071,x61072,x61073)))
% 225.13/225.10 [6108]~P147(x61081,x61082,x61083)+P105(f326(x61081,f44(a1,x61082,x61083)))
% 225.13/225.10 [6124]~P33(x61243,x61241,x61242)+P105(f326(x61241,f751(x61242,x61241,x61243)))
% 225.13/225.10 [6125]~P35(x61253,x61251,x61252)+P105(f326(x61251,f758(x61252,x61251,x61253)))
% 225.13/225.10 [6126]~P35(x61263,x61261,x61262)+P105(f326(x61261,f768(x61262,x61261,x61263)))
% 225.13/225.10 [6127]~P33(x61273,x61271,x61272)+P105(f326(x61271,f796(x61272,x61271,x61273)))
% 225.13/225.10 [6128]~P33(x61283,x61281,x61282)+P105(f326(x61281,f797(x61281,x61282,x61283)))
% 225.13/225.10 [6133]P105(f326(f326(x61331,x61332),x61332))+~P105(f326(f326(f328(x61333),x61332),f269(x61333,x61331)))
% 225.13/225.10 [6148]E(f326(f136(x61481,x61482),x61483),f177(x61481,x61482,x61483))+P105(f326(x61482,f723(x61483,x61482,x61481)))
% 225.13/225.10 [6188]~P105(f326(f137(x61881),x61883))+P105(f326(f137(f918(x61881)),f54(x61881,x61882,x61883)))
% 225.13/225.10 [6223]~P109(x62231)+E(f326(f326(f102(f925(x62231,a913)),f326(f300(x62231),x62232)),f305(x62231,x62232,x62233)),f188(f925(x62231,a913)))
% 225.13/225.10 [6224]~P109(x62241)+E(f326(f326(f102(f925(x62241,a913)),f326(f300(x62241),x62242)),f304(x62241,x62242,x62243)),f188(f925(x62241,a913)))
% 225.13/225.10 [6225]~P109(x62251)+E(f326(f326(f102(f925(x62251,a913)),f326(f281(x62251),x62252)),f302(x62251,x62252,x62253)),f188(f925(x62251,a913)))
% 225.13/225.10 [6455]E(f326(f136(x64551,x64552),x64553),x64553)+~P105(f326(x64552,f687(x64553,x64552,x64551)))
% 225.13/225.10 [6457]E(f326(f326(f308(x64571),f867(x64572,x64573,x64571)),f818(x64572,x64573,x64571)),x64573)+~E(f326(f34(x64571),x64573),f326(a112,x64572))
% 225.13/225.10 [6472]P147(x64721,x64722,x64723)+~P105(f326(x64721,f44(a1,x64722,x64723)))
% 225.13/225.10 [6523]P31(x65231,x65232,x65233)+~P105(f326(x65232,f759(x65233,x65232,x65231)))
% 225.13/225.10 [6524]P31(x65241,x65242,x65243)+~P105(f326(x65242,f765(x65242,x65243,x65241)))
% 225.13/225.10 [6525]P31(x65251,x65252,x65253)+~P105(f326(x65252,f766(x65253,x65252,x65251)))
% 225.13/225.10 [6526]P29(x65261,x65262,x65263)+~P105(f326(x65261,f784(x65263,x65262,x65261)))
% 225.13/225.10 [6527]P30(x65271,x65272,x65273)+~P105(f326(x65271,f852(x65273,x65272,x65271)))
% 225.13/225.10 [6529]E(f177(x65291,x65292,x65293),x65293)+~P105(f326(x65292,f719(x65293,x65292,x65291)))
% 225.13/225.10 [6607]~P105(f326(x66072,f575(x66073,x66072,x66071)))+P105(f326(f247(x66071,x66072),x66073))
% 225.13/225.10 [6608]~P105(f326(x66082,f688(x66083,x66082,x66081)))+P105(f326(f160(x66081,x66082),x66083))
% 225.13/225.10 [6858]~P105(f326(f314(x68581,x68582),f383(x68583,x68582,x68581)))+P105(f326(f314(x68581,x68582),x68583))
% 225.13/225.10 [6859]~P105(f326(f314(x68591,x68592),f385(x68593,x68592,x68591)))+P105(f326(f314(x68591,x68592),x68593))
% 225.13/225.10 [7479]~P3(x74791)+E(f326(f326(f79(x74791),f326(f326(f80(x74791),x74792),f326(f326(f35(x74791),x74793),x74792))),f44(x74791,x74793,x74792)),x74793)
% 225.13/225.10 [7509]P29(x75091,x75092,x75093)+P105(f326(f326(f328(a1),f784(x75093,x75092,x75091)),f302(a1,x75092,x75093)))
% 225.13/225.10 [7938]E(f326(f326(f251(x79381,x79381),f490(x79382,x79383,x79381)),f490(x79382,x79383,x79381)),x79383)+~P105(f326(f326(f328(f924(x79381,x79381)),x79383),f262(x79381,x79382)))
% 225.13/225.10 [8054]~P105(f326(f326(f328(x80541),f522(x80543,x80542,x80541)),f315(x80541,x80543)))+P105(f326(f326(f328(x80541),x80542),f315(x80541,x80543)))
% 225.13/225.10 [8055]~P105(f326(f326(f328(x80551),f605(x80553,x80552,x80551)),f315(x80551,x80553)))+P105(f326(f326(f328(x80551),x80552),f315(x80551,x80553)))
% 225.13/225.10 [8056]~P105(f326(f326(f328(x80561),f607(x80563,x80562,x80561)),f315(x80561,x80563)))+P105(f326(f326(f328(x80561),x80562),f315(x80561,x80563)))
% 225.13/225.10 [8149]P33(a1,x81491,f178(x81492,x81493))+P29(f326(f72(a913,a913,a1,a321),x81491),x81492,x81493)
% 225.13/225.10 [8238]~P3(x82381)+E(f326(f326(f79(x82381),f326(f326(f80(x82381),f326(f326(f35(x82381),x82382),x82383)),x82383)),f44(x82381,x82382,x82383)),x82382)
% 225.13/225.10 [8284]~E(f326(f34(x82841),x82842),f326(a112,x82843))+~P105(f326(f326(f328(x82841),f867(x82843,x82842,x82841)),f818(x82843,x82842,x82841)))
% 225.13/225.10 [8720]~P33(a1,x87201,f178(x87202,x87203))+~P29(f326(f72(a913,a913,a1,a321),x87201),x87202,x87203)
% 225.13/225.10 [8907]P105(f326(f326(f234(f925(f924(x89071,x89071),a913)),f306(x89071,x89072)),f306(x89071,x89073)))+~P105(f326(f326(f234(f925(f924(x89071,x89071),a913)),x89072),f306(x89071,x89073)))
% 225.13/225.10 [9187]E(x91871,f113(x91872))+~P105(f326(f326(f328(f924(f918(x91872),f918(x91872))),f326(f326(f251(f918(x91872),f918(x91872)),x91871),f113(x91872))),f158(x91872,x91873)))
% 225.13/225.10 [9211]E(x92111,f113(x92112))+~P105(f326(f326(f328(f924(f918(x92112),f918(x92112))),f326(f326(f251(f918(x92112),f918(x92112)),f113(x92112)),x92111)),f158(x92112,x92113)))
% 225.13/225.10 [9336]E(f326(f326(f151(x93361),f692(x93362,x93363,x93361)),f693(x93362,x93363,x93361)),x93363)+~P105(f326(f326(f328(f924(f918(x93361),f918(x93361))),f326(f326(f251(f918(x93361),f918(x93361)),f113(x93361)),x93363)),f147(x93361,x93362)))
% 225.13/225.10 [9575]~P128(x95751)+~P105(f326(f326(f235(x95751),f326(f326(f79(x95751),f326(f326(f80(x95751),x95752),x95752)),f326(f326(f80(x95751),x95753),x95753))),f2(x95751)))
% 225.13/225.10 [9626]P105(f326(f60(x96261),x96262))+~P105(f326(f326(f328(f924(f925(x96261,a913),f925(x96261,a913))),f326(f326(f251(f925(x96261,a913),f925(x96261,a913)),x96263),x96262)),f313(x96261)))
% 225.13/225.10 [9928]~P47(x99281,x99282,x99283)+P105(f326(f326(f234(a1),f326(f326(f72(f924(a1,a1),a1,x99281,f250(a1,a1)),f212(x99281)),f230(x99281,x99282,f227(x99281,x99283)))),f2(a1)))
% 225.13/225.10 [9929]~P48(x99291,x99292,x99293)+P105(f326(f326(f235(a1),f326(f326(f72(f924(a1,a1),a1,x99291,f250(a1,a1)),f212(x99291)),f230(x99291,x99292,f227(x99291,x99293)))),f2(a1)))
% 225.13/225.10 [10048]P48(x100481,x100482,x100483)+~P105(f326(f326(f235(a1),f326(f326(f72(f924(a1,a1),a1,x100481,f250(a1,a1)),f212(x100481)),f230(x100481,x100482,f227(x100481,x100483)))),f2(a1)))
% 225.13/225.10 [10049]P47(x100491,x100492,x100493)+~P105(f326(f326(f234(a1),f326(f326(f72(f924(a1,a1),a1,x100491,f250(a1,a1)),f212(x100491)),f230(x100491,x100492,f227(x100491,x100493)))),f2(a1)))
% 225.13/225.10 [10403]~P113(x104031)+~P105(f326(f326(f235(x104031),f326(f326(f79(x104031),f326(f326(f243(x104031),x104032),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104031),x104033),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104031)))
% 225.13/225.10 [4918]~E(x49183,f113(x49181))+E(f326(f326(f134(x49181),x49182),x49183),x49182)
% 225.13/225.10 [4919]~E(x49192,f113(x49191))+E(f326(f326(f134(x49191),x49192),x49193),x49193)
% 225.13/225.10 [4925]~E(x49252,f2(a917))+E(f326(f326(f175(x49251),x49252),x49253),f113(x49251))
% 225.13/225.10 [4934]~E(x49343,f113(x49341))+E(f326(f326(f175(x49341),x49342),x49343),f113(x49341))
% 225.13/225.10 [4973]~E(x49731,x49733)+E(x49731,f326(f326(f134(x49732),f113(x49732)),x49733))
% 225.13/225.10 [5064]~P1(x50642)+E(f326(f188(f925(x50641,x50642)),x50643),f188(x50642))
% 225.13/225.10 [5065]~P117(x50652)+E(f326(f241(f925(x50651,x50652)),x50653),f241(x50652))
% 225.13/225.10 [5083]E(x50831,f113(x50832))+~E(f326(f326(f134(x50832),x50833),x50831),x50833)
% 225.13/225.10 [5084]E(x50841,f113(x50842))+~E(f326(f326(f134(x50842),x50841),x50843),x50843)
% 225.13/225.10 [5092]E(x50921,f113(x50922))+~E(f326(f326(f134(x50922),x50923),x50921),f113(x50922))
% 225.13/225.10 [5093]E(x50931,f113(x50932))+~E(f326(f326(f134(x50932),x50931),x50933),f113(x50932))
% 225.13/225.10 [5122]~E(x51222,f2(a917))+E(f326(f326(f80(a917),x51221),x51222),f326(f326(f80(a917),x51223),x51222))
% 225.13/225.10 [5124]~E(x51241,f2(a917))+E(f326(f326(f80(a917),x51241),x51242),f326(f326(f80(a917),x51241),x51243))
% 225.13/225.10 [5181]~P120(x51811)+E(f326(f326(f80(x51811),x51812),x51813),f326(f326(f80(x51811),x51813),x51812))
% 225.13/225.10 [5182]~P120(x51821)+E(f326(f326(f79(x51821),x51822),x51823),f326(f326(f79(x51821),x51823),x51822))
% 225.13/225.10 [5184]~P108(x51841)+E(f326(f326(f238(x51841),x51842),x51843),f326(f326(f238(x51841),x51843),x51842))
% 225.13/225.10 [5186]~P108(x51861)+E(f326(f326(f233(x51861),x51862),x51863),f326(f326(f233(x51861),x51863),x51862))
% 225.13/225.10 [5188]~P98(x51881)+E(f326(f326(f101(x51881),x51882),x51883),f326(f326(f101(x51881),x51883),x51882))
% 225.13/225.10 [5189]~P99(x51891)+E(f326(f326(f101(x51891),x51892),x51893),f326(f326(f101(x51891),x51893),x51892))
% 225.13/225.10 [5190]~P99(x51901)+E(f326(f326(f102(x51901),x51902),x51903),f326(f326(f102(x51901),x51903),x51902))
% 225.13/225.10 [5192]~P102(x51921)+E(f326(f326(f102(x51921),x51922),x51923),f326(f326(f102(x51921),x51923),x51922))
% 225.13/225.10 [5255]E(f44(a917,x52551,x52552),f2(a917))+~E(x52551,f326(f326(f80(a917),x52552),x52553))
% 225.13/225.10 [5256]E(f44(a1,x52561,x52562),f2(a1))+~E(x52561,f326(f326(f80(a1),x52562),x52563))
% 225.13/225.10 [5319]E(x53191,x53192)+~E(f326(f326(f79(a917),x53193),x53191),f326(f326(f79(a917),x53193),x53192))
% 225.13/225.10 [5320]E(x53201,x53202)+~E(f326(f326(f79(a917),x53201),x53203),f326(f326(f79(a917),x53202),x53203))
% 225.13/225.10 [5330]~P67(x53301)+E(f326(f326(f79(x53301),x53302),f326(f78(x53301),x53303)),f326(f326(f3(x53301),x53302),x53303))
% 225.13/225.10 [5331]~P74(x53311)+E(f326(f326(f79(x53311),x53312),f326(f78(x53311),x53313)),f326(f326(f3(x53311),x53312),x53313))
% 225.13/225.10 [5332]~P115(x53321)+E(f326(f326(f79(x53321),x53322),f326(f78(x53321),x53323)),f326(f326(f3(x53321),x53322),x53323))
% 225.13/225.10 [5333]~P94(x53331)+E(f326(f326(f102(x53331),x53332),f326(f78(x53331),x53333)),f326(f326(f3(x53331),x53332),x53333))
% 225.13/225.10 [5334]~P74(x53341)+E(f326(f326(f3(x53341),x53342),f326(f78(x53341),x53343)),f326(f326(f79(x53341),x53342),x53343))
% 225.13/225.10 [5372]~P105(f326(x53723,x53722))+P105(f326(f326(f328(x53721),x53722),x53723))
% 225.13/225.10 [5374]~P70(x53742)+E(f326(f326(f8(x53741,x53742),x53743),f188(f925(x53741,a913))),f2(x53742))
% 225.13/225.10 [5376]~P69(x53762)+E(f326(f326(f11(x53761,x53762),x53763),f188(f925(x53761,a913))),f77(x53762))
% 225.13/225.10 [5428]~E(x54282,f326(f326(f79(a917),x54281),x54283))+P105(f326(f326(f234(a917),x54281),x54282))
% 225.13/225.10 [5431]~E(x54312,f188(f925(x54311,a913)))+E(f326(f326(f59(x54311),x54312),x54313),f188(f925(f925(x54311,a913),a913)))
% 225.13/225.10 [5432]~E(x54322,f188(f925(x54321,a913)))+E(f188(f925(f925(x54321,a913),a913)),f326(f326(f59(x54321),x54322),x54323))
% 225.13/225.10 [5506]~E(f326(f283(x55062,x55063),x55061),f188(f925(x55063,a913)))+E(x55061,f188(f925(f924(x55062,x55063),a913)))
% 225.13/225.10 [5507]~E(f326(f263(x55072,x55073),x55071),f188(f925(x55072,a913)))+E(x55071,f188(f925(f924(x55072,x55073),a913)))
% 225.13/225.10 [5539]E(f326(f283(x55391,x55392),x55393),f188(f925(x55392,a913)))+~E(x55393,f188(f925(f924(x55391,x55392),a913)))
% 225.13/225.10 [5540]E(f326(f263(x55401,x55402),x55403),f188(f925(x55401,a913)))+~E(x55403,f188(f925(f924(x55401,x55402),a913)))
% 225.13/225.10 [5543]E(f273(x55431,x55432,x55433),f326(f326(f3(a99),x55432),x55433))+P105(f326(f326(f235(a99),x55432),x55433))
% 225.13/225.10 [5559]P105(f326(x55591,x55592))+~P105(f326(f326(f328(x55593),x55592),x55591))
% 225.13/225.10 [5597]E(x55971,x55972)+~E(f326(f78(f925(x55973,a913)),x55971),f326(f78(f925(x55973,a913)),x55972))
% 225.13/225.10 [5608]~E(x56081,f188(f925(x56082,a913)))+~P105(f326(f326(f328(x56082),x56083),x56081))
% 225.13/225.10 [5638]~E(x56382,f326(f326(f79(a1),x56381),f326(f100(a1),x56383)))+P105(f326(f326(f234(a1),x56381),x56382))
% 225.13/225.10 [5652]E(f326(f326(f308(x56521),x56522),x56523),x56523)+~P105(f326(f326(f328(x56521),x56522),x56523))
% 225.13/225.10 [5663]E(x56631,f188(f925(x56632,a913)))+~E(f326(f326(f59(x56632),x56631),x56633),f188(f925(f925(x56632,a913),a913)))
% 225.13/225.10 [5664]E(x56641,f188(f925(x56642,a913)))+~E(f188(f925(f925(x56642,a913),a913)),f326(f326(f59(x56642),x56641),x56643))
% 225.13/225.10 [5671]~P110(x56711)+E(f326(f326(f80(x56711),f326(f78(x56711),x56712)),f326(f78(x56711),x56713)),f326(f326(f80(x56711),x56712),x56713))
% 225.13/225.10 [5672]~P61(x56721)+E(f326(f326(f290(x56721),f326(f78(x56721),x56722)),f326(f78(x56721),x56723)),f326(f326(f290(x56721),x56722),x56723))
% 225.13/225.10 [5704]~P105(f326(x57043,x57042))+P105(f326(f326(f328(x57041),x57042),f326(f261(x57041),x57043)))
% 225.13/225.10 [5729]E(x57291,f2(a917))+E(f326(f172(x57292),f169(x57292,x57291,x57293)),f326(f326(f308(x57292),x57293),f188(f925(x57292,a913))))
% 225.13/225.10 [5749]E(f170(x57491,x57492,x57493),x57493)+P105(f326(f326(f328(x57491),x57492),f326(f172(x57491),x57493)))
% 225.13/225.10 [5834]~P105(f326(f137(x58341),x58343))+P105(f326(f137(x58341),f326(f136(x58341,x58342),x58343)))
% 225.13/225.10 [5877]~P3(x58771)+E(f326(f326(f35(x58771),f44(x58771,x58772,x58773)),x58773),f2(x58771))
% 225.13/225.10 [5896]E(f176(x58961,f326(f326(f151(x58961),x58962),f113(x58961)),x58963),f113(x58961))+P105(f326(f326(f328(a917),f2(a917)),x58963))
% 225.13/225.10 [5902]E(x59021,f2(a917))+E(f326(f171(x59022),f169(x59022,x59021,x59023)),f169(x59022,f326(f326(f3(a917),x59021),f77(a917)),x59023))
% 225.13/225.10 [5953]E(f326(f326(f151(x59531),x59532),x59533),f140(x59531,x59532,x59533))+P105(f326(f326(f328(x59531),x59532),f326(f172(x59531),x59533)))
% 225.13/225.10 [5962]E(x59621,x59622)+~E(f326(f326(f80(a917),f326(a112,x59623)),x59621),f326(f326(f80(a917),f326(a112,x59623)),x59622))
% 225.13/225.10 [5963]~E(x59632,f326(f326(f79(a1),x59631),f326(f100(a1),f326(a112,x59633))))+P105(f326(f326(f235(a1),x59631),x59632))
% 225.13/225.10 [6030]~P30(x60301,x60302,x60303)+P31(a917,x60301,f139(a917,f326(f301(a917,x60302),x60303)))
% 225.13/225.10 [6083]~E(x60833,f113(x60831))+E(f326(f326(f326(f183(f918(x60831),f918(x60831)),x60832),f167(x60831)),x60833),f113(x60831))
% 225.13/225.10 [6087]P105(f326(x60871,x60872))+~P105(f326(f326(f328(x60873),x60872),f326(f261(x60873),x60871)))
% 225.13/225.10 [6119]E(x61191,x61192)+~E(f326(f326(f308(x61193),x61191),f188(f925(x61193,a913))),f326(f326(f308(x61193),x61192),f188(f925(x61193,a913))))
% 225.13/225.10 [6135]~P109(x61351)+E(f326(f326(f102(f925(x61351,a913)),f326(f281(x61351),x61352)),f326(f301(x61351,x61352),x61353)),f188(f925(x61351,a913)))
% 225.13/225.10 [6174]E(f140(x61741,x61742,x61743),x61743)+~P105(f326(f326(f328(x61741),x61742),f326(f172(x61741),x61743)))
% 225.13/225.10 [6196]~P77(x61961)+E(f326(f309(x61961,x61961,f78(x61961)),f326(f301(x61961,x61962),x61963)),f304(x61961,f326(f78(x61961),x61963),f326(f78(x61961),x61962)))
% 225.13/225.10 [6207]E(f326(f189(f918(x62071)),f170(x62071,x62072,x62073)),f326(f189(f918(x62071)),x62073))+P105(f326(f326(f328(x62071),x62072),f326(f172(x62071),x62073)))
% 225.13/225.10 [6261]~P109(x62611)+E(f326(f326(f102(f925(x62611,a913)),f326(f301(x62611,x62612),x62613)),f326(f282(x62611),x62613)),f188(f925(x62611,a913)))
% 225.13/225.10 [6281]~P77(x62811)+E(f326(f309(x62811,x62811,f78(x62811)),f305(x62811,x62812,x62813)),f305(x62811,f326(f78(x62811),x62813),f326(f78(x62811),x62812)))
% 225.13/225.10 [6282]~P77(x62821)+E(f326(f309(x62821,x62821,f78(x62821)),f302(x62821,x62822,x62823)),f302(x62821,f326(f78(x62821),x62823),f326(f78(x62821),x62822)))
% 225.13/225.10 [6345]E(f176(x63451,f326(f326(f151(x63451),x63452),f113(x63451)),x63453),f326(f326(f151(x63451),x63452),f113(x63451)))+~P105(f326(f326(f328(a917),f2(a917)),x63453))
% 225.13/225.10 [6350]P30(x63501,x63502,x63503)+~P31(a917,x63501,f139(a917,f326(f301(a917,x63502),x63503)))
% 225.13/225.10 [6353]~P77(x63531)+E(f326(f309(x63531,x63531,f78(x63531)),f304(x63531,x63532,x63533)),f326(f301(x63531,f326(f78(x63531),x63533)),f326(f78(x63531),x63532)))
% 225.13/225.10 [6374]~P4(x63741)+E(f44(x63741,f326(f78(x63741),f44(x63741,x63742,x63743)),x63743),f44(x63741,f326(f78(x63741),x63742),x63743))
% 225.13/225.10 [6470]~P105(f326(f60(f924(x64702,x64701)),x64703))+P105(f326(f60(x64701),f326(f283(x64702,x64701),x64703)))
% 225.13/225.10 [6471]~P105(f326(f60(f924(x64711,x64712)),x64713))+P105(f326(f60(x64711),f326(f263(x64711,x64712),x64713)))
% 225.13/225.10 [6476]~P109(x64761)+E(f326(f326(f102(f925(x64761,a913)),f305(x64761,x64762,x64763)),f326(f282(x64761),x64763)),f188(f925(x64761,a913)))
% 225.13/225.10 [6477]~P109(x64771)+E(f326(f326(f102(f925(x64771,a913)),f302(x64771,x64772,x64773)),f326(f303(x64771),x64773)),f188(f925(x64771,a913)))
% 225.13/225.10 [6478]~P109(x64781)+E(f326(f326(f102(f925(x64781,a913)),f304(x64781,x64782,x64783)),f326(f303(x64781),x64783)),f188(f925(x64781,a913)))
% 225.13/225.10 [6550]E(f326(f326(f164(x65501),x65502),f620(x65502,x65503,x65501)),x65503)+~P105(f326(f326(f328(x65501),x65503),f326(f172(x65501),x65502)))
% 225.13/225.10 [6691]E(x66911,f113(x66912))+~E(f326(f326(f326(f183(f918(x66912),f918(x66912)),x66913),f167(x66912)),x66911),f113(x66912))
% 225.13/225.10 [6796]~P105(f326(f60(f924(x67962,x67961)),x67963))+P105(f326(f60(f924(x67961,x67962)),f326(f285(x67962,x67961),x67963)))
% 225.13/225.10 [6819]E(x68191,x68192)+~E(f289(a917,f286(a917),x68193,x68191),f326(f326(f308(a917),x68192),f188(f925(a917,a913))))
% 225.13/225.10 [6820]E(x68201,x68202)+~E(f289(a917,f286(a917),x68201,x68202),f326(f326(f308(a917),x68203),f188(f925(a917,a913))))
% 225.13/225.10 [6950]P55(x69501,x69502,x69503)+P105(f326(f326(f328(x69501),f618(x69503,x69502,x69501)),x69502))
% 225.13/225.10 [6951]P55(x69511,x69512,x69513)+P105(f326(f326(f328(x69511),f617(x69513,x69512,x69511)),x69512))
% 225.13/225.10 [6961]P105(f326(f314(x69611,x69612),x69613))+P105(f326(f326(x69612,f383(x69613,x69612,x69611)),x69613))
% 225.13/225.10 [6962]P105(f326(f314(x69621,x69622),x69623))+P105(f326(f326(x69622,f385(x69623,x69622,x69621)),x69623))
% 225.13/225.10 [6993]E(f326(f189(f918(x69931)),f170(x69931,x69932,x69933)),f326(f326(f3(a917),f326(f189(f918(x69931)),x69933)),f77(a917)))+~P105(f326(f326(f328(x69931),x69932),f326(f172(x69931),x69933)))
% 225.13/225.10 [7032]P105(f326(f247(x70321,x70322),x70323))+P105(f326(f326(f328(x70321),f575(x70323,x70322,x70321)),x70323))
% 225.13/225.10 [7041]~P105(f326(f60(f924(x70412,x70411)),f326(f285(x70411,x70412),x70413)))+P105(f326(f60(f924(x70411,x70412)),x70413))
% 225.13/225.10 [7099]~P105(f326(f326(f328(x70991),x70992),f326(f172(x70991),f114(x70991,x70993))))+P105(f326(f326(f328(x70991),x70992),f326(f172(x70991),x70993)))
% 225.13/225.10 [7133]E(f326(f136(x71331,x71332),x71333),x71333)+P105(f326(f326(f328(x71331),f687(x71333,x71332,x71331)),f326(f172(x71331),x71333)))
% 225.13/225.10 [7148]E(f326(f136(x71481,x71482),x71483),f113(x71481))+P105(f326(f326(f328(x71481),f675(x71483,x71482,x71481)),f326(f172(x71481),x71483)))
% 225.13/225.10 [7172]P31(x71721,x71722,x71723)+P105(f326(f326(f328(x71721),f759(x71723,x71722,x71721)),f326(f172(x71721),x71723)))
% 225.13/225.10 [7173]P31(x71731,x71732,x71733)+P105(f326(f326(f328(x71731),f766(x71733,x71732,x71731)),f326(f172(x71731),x71733)))
% 225.13/225.10 [7174]P31(x71741,x71742,x71743)+P105(f326(f326(f328(x71741),f765(x71742,x71743,x71741)),f326(f172(x71741),x71743)))
% 225.13/225.10 [7177]E(f177(x71771,x71772,x71773),x71773)+P105(f326(f326(f328(x71771),f719(x71773,x71772,x71771)),f326(f172(x71771),x71773)))
% 225.13/225.10 [7253]P105(f326(f160(x72531,x72532),x72533))+P105(f326(f326(f328(x72531),f688(x72533,x72532,x72531)),f326(f172(x72531),x72533)))
% 225.13/225.10 [7262]~P33(x72621,x72623,x72622)+P105(f326(f326(f328(x72621),f751(x72622,x72623,x72621)),f326(f172(x72621),x72622)))
% 225.13/225.10 [7263]~P35(x72631,x72633,x72632)+P105(f326(f326(f328(x72631),f758(x72632,x72633,x72631)),f326(f172(x72631),x72632)))
% 225.13/225.10 [7264]~P35(x72641,x72643,x72642)+P105(f326(f326(f328(x72641),f768(x72642,x72643,x72641)),f326(f172(x72641),x72642)))
% 225.13/225.10 [7265]~P33(x72651,x72653,x72652)+P105(f326(f326(f328(x72651),f796(x72652,x72653,x72651)),f326(f172(x72651),x72652)))
% 225.13/225.10 [7266]~P33(x72661,x72662,x72663)+P105(f326(f326(f328(x72661),f797(x72662,x72663,x72661)),f326(f172(x72661),x72663)))
% 225.13/225.10 [7300]P105(f326(f326(f328(x73001),x73002),f622(x73003,x73002,x73001)))+~P105(f326(f326(f328(x73001),x73002),f36(f925(x73001,a913),x73003)))
% 225.13/225.10 [7301]~P70(x73011)+E(f326(f326(f79(x73011),f326(f326(f8(a917,x73011),x73012),f326(f281(a917),x73013))),f326(x73012,x73013)),f326(f326(f8(a917,x73011),x73012),f326(f281(a917),f326(a112,x73013))))
% 225.13/225.10 [7313]P30(x73131,x73132,x73133)+P105(f326(f326(f328(a917),f852(x73133,x73132,x73131)),f326(f301(a917,x73132),x73133)))
% 225.13/225.10 [7393]~P33(x73932,x73931,x73933)+P105(f326(x73931,f326(f326(f164(x73932),x73933),f754(x73933,x73931,x73932))))
% 225.13/225.10 [7406]~P105(f326(f326(f328(x74061),x74062),f604(x74062,x74063,x74061)))+P105(f326(f326(f328(x74061),x74062),f37(f925(x74061,a913),x74063)))
% 225.13/225.10 [7439]~P70(x74391)+E(f326(f326(f79(x74391),f326(f326(f8(a917,x74391),x74392),f326(f300(a917),x74393))),f326(x74392,f326(a112,x74393))),f326(f326(f8(a917,x74391),x74392),f326(f300(a917),f326(a112,x74393))))
% 225.13/225.10 [7581]P105(f326(f326(f328(f918(x75811)),x75812),f161(x75811,x75813)))+P105(f326(f326(f328(x75811),f659(x75813,x75812,x75811)),f326(f172(x75811),x75812)))
% 225.13/225.10 [7596]~P105(f326(f326(f328(f918(x75961)),x75962),f161(x75961,f315(x75961,x75963))))+P105(f326(f326(f328(f918(x75961)),x75962),f315(f918(x75961),f157(x75961,x75963))))
% 225.13/225.10 [7621]~P105(f326(f326(f328(f918(x76211)),x76212),f315(f918(x76211),f157(x76211,x76213))))+P105(f326(f326(f328(f918(x76211)),x76212),f161(x76211,f315(x76211,x76213))))
% 225.13/225.10 [7654]E(f326(f326(f326(f183(f918(x76541),f918(x76541)),x76542),f167(x76541)),x76543),x76543)+~P105(f326(f326(f234(a917),f326(f189(f918(x76541)),x76543)),f77(a917)))
% 225.13/225.10 [7687]E(f326(f326(f134(x76871),f755(x76872,x76873,x76871)),f326(f326(f151(x76871),x76873),f757(x76872,x76873,x76871))),x76872)+~P105(f326(f326(f328(x76871),x76873),f326(f172(x76871),x76872)))
% 225.13/225.10 [7688]E(f326(f326(f134(x76881),f761(x76882,x76883,x76881)),f326(f326(f151(x76881),x76883),f762(x76882,x76883,x76881))),x76882)+~P105(f326(f326(f328(x76881),x76883),f326(f172(x76881),x76882)))
% 225.13/225.10 [7689]E(f326(f326(f134(x76891),f763(x76892,x76893,x76891)),f326(f326(f151(x76891),x76893),f764(x76892,x76893,x76891))),x76892)+~P105(f326(f326(f328(x76891),x76893),f326(f172(x76891),x76892)))
% 225.13/225.10 [7710]~P25(x77101,x77102,x77103,f241(f925(x77101,a913)))+P25(f918(x77101),f918(x77102),f326(f154(x77101,x77102),x77103),f241(f925(f918(x77101),a913)))
% 225.13/225.10 [7860]E(x78601,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x78602)),x78603)),f326(f255(a917,a917),x78602)))+~P105(f326(f47(x78601,x78603),x78602))
% 225.13/225.10 [7868]P25(x78681,x78682,x78683,f241(f925(x78681,a913)))+~P25(f918(x78681),f918(x78682),f326(f154(x78681,x78682),x78683),f241(f925(f918(x78681),a913)))
% 225.13/225.10 [7913]P105(f326(f326(f328(f925(x79131,a913)),f604(x79132,x79133,x79131)),x79133))+P105(f326(f326(f328(x79131),x79132),f37(f925(x79131,a913),x79133)))
% 225.13/225.10 [8002]P105(f326(f326(f328(f918(x80021)),x80022),f161(x80021,x80023)))+~P105(f326(f326(f328(x80021),f659(x80023,x80022,x80021)),x80023))
% 225.13/225.10 [8103]P31(x81031,x81032,x81033)+~P105(f326(x81032,f326(f326(f164(x81031),x81033),f760(x81033,x81032,x81031))))
% 225.13/225.10 [8128]E(x81281,x81282)+~E(f326(f326(f9(x81283,f925(x81283,a913),a913),f328(x81283)),x81281),f326(f326(f9(x81283,f925(x81283,a913),a913),f328(x81283)),x81282))
% 225.13/225.10 [8136]~P105(f326(f326(f328(f924(x81361,x81361)),x81363),f262(x81361,x81362)))+P105(f326(f326(f328(x81361),f490(x81362,x81363,x81361)),x81362))
% 225.13/225.10 [8138]~P105(f326(f326(f328(x81381),x81383),f36(f925(x81381,a913),x81382)))+P105(f326(f326(f328(f925(x81381,a913)),f622(x81382,x81383,x81381)),x81382))
% 225.13/225.10 [8258]P25(x82581,x82582,f90(x82582,x82581,f241(f925(x82582,a913)),x82583),f241(f925(x82581,a913)))+~E(f326(f309(x82582,x82581,x82583),f241(f925(x82582,a913))),f241(f925(x82581,a913)))
% 225.13/225.10 [8311]~P105(f326(f326(f328(x83111),x83112),f326(f172(x83111),f761(x83113,x83112,x83111))))+~P105(f326(f326(f328(x83111),x83112),f326(f172(x83111),x83113)))
% 225.13/225.10 [8312]~P105(f326(f326(f328(x83121),x83122),f326(f172(x83121),f764(x83123,x83122,x83121))))+~P105(f326(f326(f328(x83121),x83122),f326(f172(x83121),x83123)))
% 225.13/225.10 [8341]P30(f326(f72(a913,a913,a917,a321),x83411),x83412,x83413)+P33(a917,x83411,f139(a917,f326(f301(a917,x83412),x83413)))
% 225.13/225.10 [8501]E(x85011,f113(x85012))+P105(f326(f326(f328(x85012),f326(f250(x85012,f924(a99,a99)),f326(f274(x85012,x85011),x85013))),f326(f172(x85012),x85011)))
% 225.13/225.10 [8599]~P68(x85991)+E(f326(f142(x85991,x85991,f326(f9(x85991,x85991,x85991),f79(x85991)),x85992),f326(f168(x85991),x85993)),f326(f142(x85991,x85991,f79(x85991),x85992),x85993))
% 225.13/225.10 [8790]~P25(x87902,x87901,x87903,f241(f925(x87902,a913)))+E(f326(f309(x87901,x87902,f90(x87902,x87901,f241(f925(x87902,a913)),x87903)),f241(f925(x87901,a913))),f241(f925(x87902,a913)))
% 225.13/225.10 [8860]~P30(f326(f72(a913,a913,a917,a321),x88601),x88602,x88603)+~P33(a917,x88601,f139(a917,f326(f301(a917,x88602),x88603)))
% 225.13/225.10 [9107]~P108(x91071)+E(f326(f172(x91071),f149(x91071,x91071,f7(x91071),x91072,x91073)),f326(f326(f308(x91071),x91072),f326(f172(x91071),x91073)))
% 225.13/225.10 [9116]~E(f326(x91163,f326(f90(x91161,x91162,f241(f925(x91161,a913)),x91163),f810(x91163,x91162,x91161))),f810(x91163,x91162,x91161))+E(f326(f309(x91161,x91162,x91163),f241(f925(x91161,a913))),f241(f925(x91162,a913)))
% 225.13/225.10 [9118]P105(f326(f326(f235(a917),f2(a917)),f627(x91181,x91182,x91183)))+~P105(f326(f326(f328(f924(x91183,x91183)),x91182),f326(f326(f288(x91183,x91183,x91183),x91181),f306(x91183,x91181))))
% 225.13/225.10 [9393]~P57(x93931,x93932)+~P105(f326(f326(f328(f924(x93931,x93931)),f326(f326(f251(x93931,x93931),x93933),x93933)),f326(f326(f288(x93931,x93931,x93931),x93932),f306(x93931,x93932))))
% 225.13/225.10 [9530]~E(f326(f326(f102(f925(f924(x95301,x95301),a913)),f326(f285(x95301,x95301),x95302)),f306(x95301,x95302)),f188(f925(f924(x95301,x95301),a913)))+~P105(f326(f326(f328(f924(x95301,x95301)),f326(f326(f251(x95301,x95301),x95303),x95303)),f326(f326(f288(x95301,x95301,x95301),x95302),f306(x95301,x95302))))
% 225.13/225.10 [9719]~P105(f326(f60(x97191),x97192))+P105(f326(f326(f234(a917),f326(f34(x97191),f326(f326(f3(f925(x97191,a913)),x97192),f326(f326(f308(x97191),x97193),f188(f925(x97191,a913)))))),f326(f34(x97191),x97192)))
% 225.13/225.10 [5243]~E(x52433,f113(x52431))+E(f144(x52431,f326(f326(f151(x52431),x52432),x52433)),x52432)
% 225.13/225.10 [5252]~E(x52523,f113(x52521))+E(f114(x52521,f326(f326(f151(x52521),x52522),x52523)),f113(x52521))
% 225.13/225.10 [5282]E(x52821,f113(x52822))+E(f144(x52822,f326(f326(f151(x52822),x52823),x52821)),f144(x52822,x52821))
% 225.13/225.10 [5284]E(x52841,f113(x52842))+E(f144(x52842,f326(f326(f134(x52842),x52843),x52841)),f144(x52842,x52841))
% 225.13/225.10 [5289]~E(x52893,f113(x52891))+E(f114(x52891,f326(f326(f134(x52891),x52892),x52893)),f114(x52891,x52892))
% 225.13/225.10 [5291]~E(x52913,f113(x52911))+E(f144(x52911,f326(f326(f134(x52911),x52912),x52913)),f144(x52911,x52912))
% 225.13/225.10 [5324]E(x53241,f113(x53242))+E(f326(f141(x53242),f326(f326(f134(x53242),x53241),x53243)),f326(f141(x53242),x53241))
% 225.13/225.10 [5352]~E(x53522,f113(x53521))+E(f326(f141(x53521),f326(f326(f134(x53521),x53522),x53523)),f326(f141(x53521),x53523))
% 225.13/225.10 [5404]~P108(x54041)+E(f326(f326(f238(x54041),x54042),f326(f326(f233(x54041),x54042),x54043)),x54042)
% 225.13/225.10 [5405]~P108(x54051)+E(f326(f326(f233(x54051),x54052),f326(f326(f238(x54051),x54052),x54053)),x54052)
% 225.13/225.10 [5406]~P99(x54061)+E(f326(f326(f101(x54061),x54062),f326(f326(f102(x54061),x54062),x54063)),x54062)
% 225.13/225.10 [5407]~P99(x54071)+E(f326(f326(f102(x54071),x54072),f326(f326(f101(x54071),x54072),x54073)),x54072)
% 225.13/225.10 [5426]~P3(x54261)+E(f44(x54261,f326(f326(f80(x54261),x54262),x54263),x54263),f2(x54261))
% 225.13/225.10 [5427]~P3(x54271)+E(f44(x54271,f326(f326(f80(x54271),x54272),x54273),x54272),f2(x54271))
% 225.13/225.10 [5501]~P67(x55011)+E(f326(f78(x55011),f326(f326(f3(x55011),x55012),x55013)),f326(f326(f3(x55011),x55013),x55012))
% 225.13/225.10 [5563]E(x55631,f113(x55632))+E(f114(x55632,f326(f326(f151(x55632),x55633),x55631)),f326(f326(f151(x55632),x55633),f114(x55632,x55631)))
% 225.13/225.10 [5564]E(x55641,f113(x55642))+E(f114(x55642,f326(f326(f134(x55642),x55643),x55641)),f326(f326(f134(x55642),x55643),f114(x55642,x55641)))
% 225.13/225.10 [5567]~P5(x55671)+E(f36(x55671,f326(f326(f308(x55671),x55672),x55673)),f326(f326(f101(x55671),x55672),f36(x55671,x55673)))
% 225.13/225.10 [5568]~P5(x55681)+E(f37(x55681,f326(f326(f308(x55681),x55682),x55683)),f326(f326(f102(x55681),x55682),f37(x55681,x55683)))
% 225.13/225.10 [5613]~P95(x56131)+E(f326(f326(f80(x56131),x56132),f326(f326(f80(x56131),x56132),x56133)),f326(f326(f80(x56131),x56132),x56133))
% 225.13/225.10 [5615]~P108(x56151)+E(f326(f326(f238(x56151),x56152),f326(f326(f238(x56151),x56152),x56153)),f326(f326(f238(x56151),x56152),x56153))
% 225.13/225.10 [5617]~P108(x56171)+E(f326(f326(f233(x56171),x56172),f326(f326(f233(x56171),x56172),x56173)),f326(f326(f233(x56171),x56172),x56173))
% 225.13/225.10 [5619]~P98(x56191)+E(f326(f326(f101(x56191),x56192),f326(f326(f101(x56191),x56192),x56193)),f326(f326(f101(x56191),x56192),x56193))
% 225.13/225.10 [5620]~P99(x56201)+E(f326(f326(f101(x56201),x56202),f326(f326(f101(x56201),x56202),x56203)),f326(f326(f101(x56201),x56202),x56203))
% 225.13/225.10 [5621]~P99(x56211)+E(f326(f326(f102(x56211),x56212),f326(f326(f102(x56211),x56212),x56213)),f326(f326(f102(x56211),x56212),x56213))
% 225.13/225.10 [5623]~P102(x56231)+E(f326(f326(f102(x56231),x56232),f326(f326(f102(x56231),x56232),x56233)),f326(f326(f102(x56231),x56232),x56233))
% 225.13/225.10 [5630]~P3(x56301)+E(f44(x56301,f326(f326(f79(x56301),x56302),x56303),x56303),f44(x56301,x56302,x56303))
% 225.13/225.10 [5631]~P3(x56311)+E(f44(x56311,f326(f326(f79(x56311),x56312),x56313),x56312),f44(x56311,x56313,x56312))
% 225.13/225.10 [5639]~P110(x56391)+E(f326(f326(f80(x56391),x56392),f326(f78(x56391),x56393)),f326(f78(x56391),f326(f326(f80(x56391),x56392),x56393)))
% 225.13/225.10 [5640]~P61(x56401)+E(f326(f326(f290(x56401),x56402),f326(f78(x56401),x56403)),f326(f78(x56401),f326(f326(f290(x56401),x56402),x56403)))
% 225.13/225.10 [5641]~P80(x56411)+E(f326(f326(f79(x56411),x56412),f326(f165(x56411),x56413)),f326(f165(x56411),f326(f326(f151(x56411),x56412),x56413)))
% 225.13/225.10 [5669]~P110(x56691)+E(f326(f326(f80(x56691),f326(f78(x56691),x56692)),x56693),f326(f326(f80(x56691),x56692),f326(f78(x56691),x56693)))
% 225.13/225.10 [5675]~P8(x56751,x56752,x56753)+E(f36(f925(x56751,a913),f326(f326(f59(x56751),x56752),x56753)),x56752)
% 225.13/225.10 [5741]~P116(x57411)+E(f326(f326(f80(x57411),x57412),f326(f326(f243(x57411),x57412),x57413)),f326(f326(f243(x57411),x57412),f326(a112,x57413)))
% 225.13/225.10 [5742]~P120(x57421)+E(f326(f326(f80(x57421),x57422),f326(f326(f243(x57421),x57422),x57423)),f326(f326(f243(x57421),x57422),f326(a112,x57423)))
% 225.13/225.10 [5752]~P74(x57521)+E(f326(f326(f79(x57521),f326(f78(x57521),x57522)),f326(f326(f79(x57521),x57522),x57523)),x57523)
% 225.13/225.10 [5775]~P145(x57751)+E(f326(f326(f243(x57751),f326(f100(x57751),x57752)),x57753),f326(f100(x57751),f326(f326(f243(a917),x57752),x57753)))
% 225.13/225.10 [5776]~P141(x57761)+E(f326(f326(f243(x57761),f326(f103(x57761),x57762)),x57763),f326(f103(x57761),f326(f326(f243(a1),x57762),x57763)))
% 225.13/225.10 [5782]~P84(x57821)+E(f326(f75(x57821),f326(f326(f3(x57821),x57822),x57823)),f326(f75(x57821),f326(f326(f3(x57821),x57823),x57822)))
% 225.13/225.10 [5784]~P113(x57841)+E(f326(f326(f80(x57841),f81(x57841,x57842)),f81(x57841,x57843)),f81(x57841,f326(f326(f80(x57841),x57842),x57843)))
% 225.13/225.10 [5788]E(x57881,f113(x57882))+E(f326(f326(f134(x57882),f326(f171(x57882),x57881)),x57883),f326(f171(x57882),f326(f326(f134(x57882),x57881),x57883)))
% 225.13/225.10 [5794]~E(x57942,f326(a112,f326(f326(f79(a917),x57941),x57943)))+P105(f326(f326(f235(a917),x57941),x57942))
% 225.13/225.10 [5795]~P113(x57951)+E(f326(f326(f243(x57951),f326(f75(x57951),x57952)),x57953),f326(f75(x57951),f326(f326(f243(x57951),x57952),x57953)))
% 225.13/225.10 [5796]~P110(x57961)+E(f326(f326(f80(x57961),f326(f78(x57961),x57962)),x57963),f326(f78(x57961),f326(f326(f80(x57961),x57962),x57963)))
% 225.13/225.10 [5797]~P124(x57971)+E(f326(f326(f290(x57971),f326(f78(x57971),x57972)),x57973),f326(f78(x57971),f326(f326(f290(x57971),x57972),x57973)))
% 225.13/225.10 [5895]E(f443(x58951,x58952,x58953),f444(x58951,x58952,x58953))+E(f326(f326(f102(f925(x58953,a913)),x58952),x58951),f188(f925(x58953,a913)))
% 225.13/225.10 [5910]~P70(x59102)+E(f326(f326(f8(x59101,x59102),f326(f18(x59102,x59101),f2(x59102))),x59103),f2(x59102))
% 225.13/225.10 [5911]~P69(x59112)+E(f326(f326(f11(x59111,x59112),f326(f18(x59112,x59111),f77(x59112))),x59113),f77(x59112))
% 225.13/225.10 [5913]~P92(x59131)+E(f326(f326(f3(x59131),f326(f104(x59131),x59132)),f326(f104(x59131),x59133)),f326(f104(x59131),f326(f326(f3(a1),x59132),x59133)))
% 225.13/225.10 [5916]~P145(x59161)+E(f326(f326(f80(x59161),f326(f100(x59161),x59162)),f326(f100(x59161),x59163)),f326(f100(x59161),f326(f326(f80(a917),x59162),x59163)))
% 225.13/225.10 [5917]~P145(x59171)+E(f326(f326(f79(x59171),f326(f100(x59171),x59172)),f326(f100(x59171),x59173)),f326(f100(x59171),f326(f326(f79(a917),x59172),x59173)))
% 225.13/225.10 [5918]~P141(x59181)+E(f326(f326(f3(x59181),f326(f103(x59181),x59182)),f326(f103(x59181),x59183)),f326(f103(x59181),f326(f326(f3(a1),x59182),x59183)))
% 225.13/225.10 [5919]~P141(x59191)+E(f326(f326(f80(x59191),f326(f103(x59191),x59192)),f326(f103(x59191),x59193)),f326(f103(x59191),f326(f326(f80(a1),x59192),x59193)))
% 225.13/225.10 [5920]~P141(x59201)+E(f326(f326(f79(x59201),f326(f103(x59201),x59202)),f326(f103(x59201),x59203)),f326(f103(x59201),f326(f326(f79(a1),x59202),x59203)))
% 225.13/225.10 [5921]~P92(x59211)+E(f326(f326(f80(x59211),f326(f104(x59211),x59212)),f326(f104(x59211),x59213)),f326(f104(x59211),f326(f326(f80(a1),x59212),x59213)))
% 225.13/225.10 [5922]~P92(x59221)+E(f326(f326(f79(x59221),f326(f104(x59221),x59222)),f326(f104(x59221),x59223)),f326(f104(x59221),f326(f326(f79(a1),x59222),x59223)))
% 225.13/225.10 [5970]~E(x59703,x59702)+P105(f326(f326(f234(f925(x59701,a913)),x59702),x59703))
% 225.13/225.10 [5976]~E(x59762,x59763)+P105(f326(f326(f234(f925(x59761,a913)),x59762),x59763))
% 225.13/225.10 [5981]~P113(x59811)+E(f326(f326(f80(x59811),f326(f75(x59811),x59812)),f326(f75(x59811),x59813)),f326(f75(x59811),f326(f326(f80(x59811),x59812),x59813)))
% 225.13/225.10 [5982]~P63(x59821)+E(f326(f326(f290(x59821),f326(f75(x59821),x59822)),f326(f75(x59821),x59823)),f326(f75(x59821),f326(f326(f290(x59821),x59822),x59823)))
% 225.13/225.10 [5983]~P74(x59831)+E(f326(f326(f79(x59831),f326(f78(x59831),x59832)),f326(f78(x59831),x59833)),f326(f78(x59831),f326(f326(f79(x59831),x59833),x59832)))
% 225.13/225.10 [5984]~P67(x59841)+E(f326(f326(f79(x59841),f326(f78(x59841),x59842)),f326(f78(x59841),x59843)),f326(f78(x59841),f326(f326(f79(x59841),x59842),x59843)))
% 225.13/225.10 [5985]~P75(x59851)+E(f326(f326(f233(x59851),f326(f78(x59851),x59852)),f326(f78(x59851),x59853)),f326(f78(x59851),f326(f326(f238(x59851),x59852),x59853)))
% 225.13/225.10 [5986]~P75(x59861)+E(f326(f326(f238(x59861),f326(f78(x59861),x59862)),f326(f78(x59861),x59863)),f326(f78(x59861),f326(f326(f233(x59861),x59862),x59863)))
% 225.13/225.10 [5987]~P94(x59871)+E(f326(f326(f102(x59871),f326(f78(x59871),x59872)),f326(f78(x59871),x59873)),f326(f78(x59871),f326(f326(f101(x59871),x59872),x59873)))
% 225.13/225.10 [5988]~P94(x59881)+E(f326(f326(f101(x59881),f326(f78(x59881),x59882)),f326(f78(x59881),x59883)),f326(f78(x59881),f326(f326(f102(x59881),x59882),x59883)))
% 225.13/225.10 [5989]~P80(x59891)+E(f326(f326(f79(x59891),f326(f165(x59891),x59892)),f326(f165(x59891),x59893)),f326(f165(x59891),f326(f326(f134(x59891),x59892),x59893)))
% 225.13/225.10 [5990]E(x59901,f188(f925(x59902,a913)))+~E(f326(f326(f101(f925(x59902,a913)),x59903),x59901),f188(f925(x59902,a913)))
% 225.13/225.10 [5991]E(x59911,f188(f925(x59912,a913)))+~E(f326(f326(f101(f925(x59912,a913)),x59911),x59913),f188(f925(x59912,a913)))
% 225.13/225.10 [5992]~P148(x59921,x59922,x59923)+P105(f326(x59921,f326(f326(f35(a1),x59922),x59923)))
% 225.13/225.10 [6054]~P105(f326(f60(x60541),x60543))+P105(f326(f60(x60541),f326(f326(f308(x60541),x60542),x60543)))
% 225.13/225.10 [6055]~P105(f326(f137(x60551),x60553))+P105(f326(f137(x60551),f326(f326(f175(x60551),x60552),x60553)))
% 225.13/225.10 [6056]~P105(f326(f137(x60561),x60563))+P105(f326(f137(x60561),f326(f326(f138(x60561),x60562),x60563)))
% 225.13/225.10 [6088]~P108(x60881)+P105(f326(f326(f234(x60881),x60882),f326(f326(f233(x60881),x60883),x60882)))
% 225.13/225.10 [6089]~P108(x60891)+P105(f326(f326(f234(x60891),x60892),f326(f326(f233(x60891),x60892),x60893)))
% 225.13/225.10 [6090]~P98(x60901)+P105(f326(f326(f234(x60901),x60902),f326(f326(f101(x60901),x60903),x60902)))
% 225.13/225.10 [6091]~P99(x60911)+P105(f326(f326(f234(x60911),x60912),f326(f326(f101(x60911),x60913),x60912)))
% 225.13/225.10 [6092]~P98(x60921)+P105(f326(f326(f234(x60921),x60922),f326(f326(f101(x60921),x60922),x60923)))
% 225.13/225.10 [6093]~P99(x60931)+P105(f326(f326(f234(x60931),x60932),f326(f326(f101(x60931),x60932),x60933)))
% 225.13/225.10 [6094]~P120(x60941)+P105(f326(f326(f286(x60941),x60942),f326(f326(f80(x60941),x60943),x60942)))
% 225.13/225.10 [6095]~P120(x60951)+P105(f326(f326(f286(x60951),x60952),f326(f326(f80(x60951),x60952),x60953)))
% 225.13/225.10 [6109]~E(x61091,f2(a917))+E(f326(f326(f35(a917),f326(f326(f80(a917),x61091),x61092)),f326(f326(f80(a917),x61091),x61093)),f2(a917))
% 225.13/225.10 [6190]~P92(x61901)+E(f326(f326(f3(x61901),f326(f104(x61901),x61902)),f326(f104(x61901),x61903)),f326(f104(x61901),f326(f326(f79(a1),x61902),f326(f78(a1),x61903))))
% 225.13/225.10 [6249]E(x62491,f2(a917))+E(f326(f326(f35(a917),f326(f326(f80(a917),x62491),x62492)),f326(f326(f80(a917),x62491),x62493)),f326(f326(f35(a917),x62492),x62493))
% 225.13/225.10 [6279]E(f152(x62791,f326(f326(f151(x62791),x62792),x62793)),f326(f326(f151(x62791),x62792),f152(x62791,x62793)))+P105(f326(f326(f328(x62791),x62792),f326(f172(x62791),x62793)))
% 225.13/225.10 [6315]P148(x63151,x63152,x63153)+~P105(f326(x63151,f326(f326(f35(a1),x63152),x63153)))
% 225.13/225.10 [6387]E(x63871,f113(x63872))+E(f326(f326(f151(x63872),f326(f141(x63872),x63871)),f326(f326(f175(x63872),x63873),f326(f171(x63872),x63871))),f326(f326(f175(x63872),f326(a112,x63873)),x63871))
% 225.13/225.10 [6395]E(f326(f326(f3(f925(x63951,a913)),x63952),x63953),x63952)+~E(f326(f326(f102(f925(x63951,a913)),x63952),x63953),f188(f925(x63951,a913)))
% 225.13/225.10 [6409]E(f152(x64091,f326(f326(f151(x64091),x64092),x64093)),f152(x64091,x64093))+~P105(f326(f326(f328(x64091),x64092),f326(f172(x64091),x64093)))
% 225.13/225.10 [6439]~P105(f326(f326(f234(a917),x64391),x64393))+P105(f326(f326(f234(a917),x64391),f326(f326(f79(a917),x64392),x64393)))
% 225.13/225.10 [6441]~P105(f326(f326(f234(a917),x64411),x64412))+P105(f326(f326(f234(a917),x64411),f326(f326(f79(a917),x64412),x64413)))
% 225.13/225.10 [6443]~P105(f326(f326(f235(a917),x64431),x64433))+P105(f326(f326(f235(a917),x64431),f326(f326(f79(a917),x64432),x64433)))
% 225.13/225.10 [6445]~P105(f326(f326(f235(a917),x64451),x64452))+P105(f326(f326(f235(a917),x64451),f326(f326(f79(a917),x64452),x64453)))
% 225.13/225.10 [6484]P105(f326(f60(x64841),x64842))+~P105(f326(f60(x64841),f326(f326(f308(x64841),x64843),x64842)))
% 225.13/225.10 [6485]P105(f326(f137(x64851),x64852))+~P105(f326(f137(x64851),f326(f326(f151(x64851),x64853),x64852)))
% 225.13/225.10 [6486]P105(f326(f137(x64861),x64862))+~P105(f326(f137(x64861),f326(f326(f134(x64861),x64863),x64862)))
% 225.13/225.10 [6487]P105(f326(f137(x64871),x64872))+~P105(f326(f137(x64871),f326(f326(f134(x64871),x64872),x64873)))
% 225.13/225.10 [6540]~P120(x65401)+E(f326(f326(f79(x65401),x65402),f326(f326(f80(x65401),x65403),x65402)),f326(f326(f80(x65401),f326(f326(f79(x65401),x65403),f77(x65401))),x65402))
% 225.13/225.10 [6586]~E(x65861,x65862)+~P105(f326(f326(f235(f925(x65863,a913)),x65861),x65862))
% 225.13/225.10 [6629]P105(f326(f326(f328(x66291),x66292),x66293))+P105(f326(f326(f328(x66291),x66292),f326(f78(f925(x66291,a913)),x66293)))
% 225.13/225.10 [6635]E(f144(x66351,f326(f326(f138(x66351),x66352),x66353)),f144(x66351,x66353))+~P105(f326(f326(f235(a917),x66352),f326(f189(f918(x66351)),x66353)))
% 225.13/225.10 [6636]E(f326(f326(f175(x66361),x66362),f114(x66361,x66363)),f326(f326(f175(x66361),x66362),x66363))+~P105(f326(f326(f235(a917),x66362),f326(f189(f918(x66361)),x66363)))
% 225.13/225.10 [6693]E(f326(f326(f326(f183(f918(x66931),f918(x66931)),x66932),f167(x66931)),x66933),x66933)+~E(f44(a917,x66932,f326(f189(f918(x66931)),x66933)),f2(a917))
% 225.13/225.10 [6700]~P8(x67001,x67003,x67002)+E(f326(f326(f288(x67001,x67001,x67001),f326(f285(x67001,x67001),x67002)),x67002),x67002)
% 225.13/225.10 [6743]~E(f326(f326(f101(f925(x67431,a913)),x67432),x67433),x67433)+P105(f326(f326(f234(f925(x67431,a913)),x67432),x67433))
% 225.13/225.10 [6748]~P54(x67481,x67481,x67483)+P54(x67481,x67481,f326(f326(f183(f924(x67481,x67481),a913),x67482),x67483))
% 225.13/225.10 [6751]~P105(f326(f326(f328(x67511),x67513),f326(f172(x67511),x67512)))+P105(f326(f326(f235(a917),f2(a917)),f326(f189(f918(x67511)),x67512)))
% 225.13/225.10 [6778]~P84(x67781)+E(f326(f75(x67781),f326(f326(f79(x67781),f326(f75(x67781),x67782)),f326(f75(x67781),x67783))),f326(f326(f79(x67781),f326(f75(x67781),x67782)),f326(f75(x67781),x67783)))
% 225.13/225.10 [6789]E(f326(f326(f35(a917),f326(f326(f80(a917),x67891),x67892)),f326(f326(f80(a917),x67891),x67893)),f326(f326(f35(a917),x67892),x67893))+~P105(f326(f326(f235(a917),f2(a917)),x67891))
% 225.13/225.10 [6930]~P105(f326(f60(x69301),x69303))+E(f326(f326(f63(x69301,f925(x69301,a913),f308(x69301)),x69302),x69303),f326(f326(f101(f925(x69301,a913)),x69303),x69302))
% 225.13/225.10 [6986]E(f326(f326(f101(f925(x69861,a913)),x69862),x69863),x69862)+~P105(f326(f326(f234(f925(x69861,a913)),x69863),x69862))
% 225.13/225.10 [6988]E(f326(f326(f101(f925(x69881,a913)),x69882),x69883),x69883)+~P105(f326(f326(f234(f925(x69881,a913)),x69882),x69883))
% 225.13/225.10 [6989]E(f326(f326(f102(f925(x69891,a913)),x69892),x69893),x69893)+~P105(f326(f326(f234(f925(x69891,a913)),x69893),x69892))
% 225.13/225.10 [6990]E(f326(f326(f102(f925(x69901,a913)),x69902),x69903),x69902)+~P105(f326(f326(f234(f925(x69901,a913)),x69902),x69903))
% 225.13/225.10 [7039]~P105(f326(f137(x70391),x70392))+E(f326(f326(f3(f925(x70391,a913)),f326(f172(x70391),x70392)),f326(f326(f308(x70391),x70393),f188(f925(x70391,a913)))),f326(f172(x70391),f170(x70391,x70393,x70392)))
% 225.13/225.10 [7094]P37(x70941,x70942)+~P37(x70941,f326(f326(f183(f924(x70941,x70941),a913),x70943),x70942))
% 225.13/225.10 [7110]~E(x71101,f2(a917))+P105(f326(f326(f286(a917),f326(f326(f80(a917),x71101),x71102)),f326(f326(f80(a917),x71101),x71103)))
% 225.13/225.10 [7160]P105(f326(f48(x71601,x71602),f326(a50,x71603)))+~P105(f326(f48(f326(f78(a1),x71601),f326(f78(a1),x71602)),x71603))
% 225.13/225.10 [7165]E(f326(f326(f3(f925(x71651,a913)),f326(f326(f308(x71651),x71652),x71653)),f326(f326(f308(x71651),x71652),f188(f925(x71651,a913)))),x71653)+P105(f326(f326(f328(x71651),x71652),x71653))
% 225.13/225.10 [7186]E(f326(f326(f102(f925(x71861,a913)),f326(f172(x71861),x71862)),f326(f172(x71861),x71863)),f188(f925(x71861,a913)))+~P105(f326(f137(x71861),f326(f326(f134(x71861),x71862),x71863)))
% 225.13/225.10 [7201]~P105(f326(f326(f328(x72011),x72012),f326(f172(x72011),x72013)))+~P105(f326(f137(x72011),f326(f326(f151(x72011),x72012),x72013)))
% 225.13/225.10 [7272]P31(x72721,x72722,x72723)+P105(f326(f326(f235(a917),f760(x72723,x72722,x72721)),f326(f189(f918(x72721)),x72723)))
% 225.13/225.10 [7282]E(f326(f326(f102(f925(x72821,a913)),x72822),x72823),f188(f925(x72821,a913)))+P105(f326(f326(f328(x72821),f443(x72823,x72822,x72821)),x72822))
% 225.13/225.10 [7283]E(f326(f326(f102(f925(x72831,a913)),x72832),x72833),f188(f925(x72831,a913)))+P105(f326(f326(f328(x72831),f444(x72833,x72832,x72831)),x72833))
% 225.13/225.10 [7286]E(f114(x72861,f326(f326(f175(x72861),x72862),x72863)),f326(f326(f175(x72861),f326(f326(f3(a917),x72862),f77(a917))),x72863))+~P105(f326(f326(f234(a917),x72862),f326(f189(f918(x72861)),x72863)))
% 225.13/225.10 [7346]~P33(x73463,x73462,x73461)+P105(f326(f326(f235(a917),f754(x73461,x73462,x73463)),f326(f189(f918(x73463)),x73461)))
% 225.13/225.10 [7366]P105(f326(f326(f235(a917),f2(a917)),x73661))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x73662),x73661)),f326(f326(f80(a917),x73663),x73661)))
% 225.13/225.10 [7367]P105(f326(f326(f235(a917),f2(a917)),x73671))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x73671),x73672)),f326(f326(f80(a917),x73671),x73673)))
% 225.13/225.10 [7370]~P105(f326(f326(f328(x73701),x73702),x73703))+~P105(f326(f326(f328(x73701),x73702),f326(f78(f925(x73701,a913)),x73703)))
% 225.13/225.10 [7376]~P105(f326(f326(f235(f925(x73761,a913)),x73762),x73763))+P105(f326(f326(f234(f925(x73761,a913)),x73762),x73763))
% 225.13/225.10 [7487]~P105(f326(f326(f234(a917),x74873),x74872))+P105(f326(f326(f234(a917),f326(f326(f3(a917),x74871),x74872)),f326(f326(f3(a917),x74871),x74873)))
% 225.13/225.10 [7488]~P105(f326(f326(f234(a917),x74881),x74883))+P105(f326(f326(f234(a917),f326(f326(f3(a917),x74881),x74882)),f326(f326(f3(a917),x74883),x74882)))
% 225.13/225.10 [7490]~P105(f326(f326(f234(a917),x74902),x74903))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x74901),x74902)),f326(f326(f80(a917),x74901),x74903)))
% 225.13/225.10 [7492]~P105(f326(f326(f234(a917),x74921),x74923))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x74921),x74922)),f326(f326(f80(a917),x74923),x74922)))
% 225.13/225.10 [7493]~P105(f326(f326(f234(a917),x74932),x74933))+P105(f326(f326(f234(a917),f326(f326(f79(a917),x74931),x74932)),f326(f326(f79(a917),x74931),x74933)))
% 225.13/225.10 [7494]~P105(f326(f326(f234(a917),x74941),x74943))+P105(f326(f326(f234(a917),f326(f326(f79(a917),x74941),x74942)),f326(f326(f79(a917),x74943),x74942)))
% 225.13/225.10 [7495]~P105(f326(f326(f234(a917),x74951),x74953))+P105(f326(f326(f234(a917),f326(f326(f35(a917),x74951),x74952)),f326(f326(f35(a917),x74953),x74952)))
% 225.13/225.10 [7496]~P105(f326(f326(f234(a1),x74962),x74963))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x74961),x74962)),f326(f326(f79(a1),x74961),x74963)))
% 225.13/225.10 [7499]~P105(f326(f326(f235(a917),x74992),x74993))+P105(f326(f326(f235(a917),f326(f326(f79(a917),x74991),x74992)),f326(f326(f79(a917),x74991),x74993)))
% 225.13/225.10 [7500]~P105(f326(f326(f235(a917),x75001),x75003))+P105(f326(f326(f235(a917),f326(f326(f79(a917),x75001),x75002)),f326(f326(f79(a917),x75003),x75002)))
% 225.13/225.10 [7501]~P105(f326(f326(f235(a1),x75011),x75013))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x75011),x75012)),f326(f326(f79(a1),x75013),x75012)))
% 225.13/225.10 [7504]~P105(f326(f326(f286(a917),x75042),x75043))+P105(f326(f326(f286(a917),f326(f326(f80(a917),x75041),x75042)),f326(f326(f80(a917),x75041),x75043)))
% 225.13/225.10 [7580]E(x75801,x75802)+~P105(f326(f326(f328(x75803),x75801),f326(f326(f308(x75803),x75802),f188(f925(x75803,a913)))))
% 225.13/225.10 [7582]~E(f326(f326(f102(f925(x75821,a913)),x75822),x75823),f188(f925(x75821,a913)))+P105(f326(f326(f234(f925(x75821,a913)),x75822),f326(f78(f925(x75821,a913)),x75823)))
% 225.13/225.10 [7587]P105(f326(f326(f328(f925(x75871,a913)),x75872),f326(f307(x75871),x75873)))+~P105(f326(f326(f234(f925(x75871,a913)),x75872),x75873))
% 225.13/225.10 [7592]P105(f326(f326(f328(x75921),f387(x75922,x75923,x75921)),x75923))+P105(f326(f326(f234(f925(x75921,a913)),x75923),x75922))
% 225.13/225.10 [7638]E(f326(f326(f151(x76381),f326(f326(f164(x76381),x76382),x76383)),f326(f326(f138(x76381),f326(a112,x76383)),x76382)),f326(f326(f138(x76381),x76383),x76382))+~P105(f326(f326(f235(a917),x76383),f326(f189(f918(x76381)),x76382)))
% 225.13/225.10 [7664]P105(f326(f326(f328(f924(x76641,x76641)),x76642),f306(x76641,x76643)))+~P105(f326(f326(f328(f924(x76641,x76641)),x76642),x76643))
% 225.13/225.10 [7673]~P105(f326(f326(f328(f925(x76731,a913)),x76732),f326(f307(x76731),x76733)))+P105(f326(f326(f234(f925(x76731,a913)),x76732),x76733))
% 225.13/225.10 [7716]P105(f326(f326(f234(f925(x77161,a913)),x77162),f36(f925(x77161,a913),x77163)))+~P105(f326(f326(f328(f925(x77161,a913)),x77162),x77163))
% 225.13/225.10 [7740]~P141(x77401)+E(f326(f326(f80(x77401),f326(f326(f243(x77401),f326(f78(x77401),f77(x77401))),x77402)),f326(f326(f243(x77401),x77403),x77402)),f326(f326(f243(x77401),f326(f78(x77401),x77403)),x77402))
% 225.13/225.10 [7762]E(f326(f326(f164(x77621),x77622),f326(f326(f3(a917),f326(f189(f918(x77621)),x77622)),f326(a112,x77623))),f326(f326(f164(x77621),f326(f168(x77621),x77622)),x77623))+~P105(f326(f326(f235(a917),x77623),f326(f189(f918(x77621)),x77622)))
% 225.13/225.10 [7779]~E(f326(f326(f102(f925(x77791,a913)),f449(x77793,x77792,x77791)),x77793),f188(f925(x77791,a913)))+E(f326(f326(f102(f925(x77791,a913)),f36(f925(x77791,a913),x77792)),x77793),f188(f925(x77791,a913)))
% 225.13/225.10 [7843]~P105(f326(f326(f328(x78433),x78432),f326(f172(x78433),x78431)))+P105(f326(f326(f235(a917),f620(x78431,x78432,x78433)),f326(f189(f918(x78433)),x78431)))
% 225.13/225.10 [7851]P105(f326(f326(f328(x78511),f326(f326(f164(x78511),x78512),x78513)),f326(f172(x78511),x78512)))+~P105(f326(f326(f235(a917),x78513),f326(f189(f918(x78511)),x78512)))
% 225.13/225.10 [7949]~P105(f326(x79492,f720(x79493,x79492,x79491)))+E(f326(f326(f138(x79491),f326(f189(f918(x79491)),f177(x79491,x79492,x79493))),x79493),f113(x79491))
% 225.13/225.10 [7962]P105(f326(f326(f234(f925(f918(x79621),a913)),f161(x79621,x79622)),f161(x79621,x79623)))+~P105(f326(f326(f234(f925(x79621,a913)),x79622),x79623))
% 225.13/225.10 [7963]P105(f326(f326(f234(f925(f918(x79631),a913)),f160(x79631,x79632)),f160(x79631,x79633)))+~P105(f326(f326(f234(f925(x79631,a913)),x79632),x79633))
% 225.13/225.10 [7989]E(f326(f326(f102(f925(x79891,a913)),f36(f925(x79891,a913),x79892)),x79893),f188(f925(x79891,a913)))+P105(f326(f326(f328(f925(x79891,a913)),f449(x79893,x79892,x79891)),x79892))
% 225.13/225.10 [7991]~P105(f326(f326(f328(f925(x79911,a913)),x79913),x79912))+P105(f326(f326(f234(f925(x79911,a913)),f37(f925(x79911,a913),x79912)),x79913))
% 225.13/225.10 [7993]E(f326(f326(f102(f925(x79931,a913)),x79932),x79933),f188(f925(x79931,a913)))+~P105(f326(f326(f234(f925(x79931,a913)),x79932),f326(f78(f925(x79931,a913)),x79933)))
% 225.13/225.10 [8041]E(f326(f326(f3(a917),f326(f326(f79(a917),f326(f165(a917),x80411)),x80412)),f326(f326(f164(a917),x80411),x80413)),f326(f165(a917),f326(f326(f159(a917,x80411),x80413),x80412)))+~P105(f326(f326(f235(a917),x80413),f326(f189(f918(a917)),x80411)))
% 225.13/225.10 [8092]P105(f326(f326(f234(a917),x80921),x80922))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x80923),x80921)),f326(f326(f79(a917),x80923),x80922)))
% 225.13/225.10 [8095]P105(f326(f326(f235(a917),x80951),x80952))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),x80953),x80951)),f326(f326(f79(a917),x80953),x80952)))
% 225.13/225.10 [8096]P105(f326(f326(f235(a917),x80961),x80962))+~P105(f326(f326(f235(a917),f326(f326(f80(a917),x80963),x80961)),f326(f326(f80(a917),x80963),x80962)))
% 225.13/225.10 [8097]P105(f326(f326(f235(a917),x80971),x80972))+~P105(f326(f326(f235(a917),f326(f326(f80(a917),x80971),x80973)),f326(f326(f80(a917),x80972),x80973)))
% 225.13/225.10 [8126]P105(f326(f326(f235(a917),f2(a917)),x81261))+~P105(f326(f326(f235(a917),f326(f326(f80(a917),x81262),x81261)),f326(f326(f80(a917),x81263),x81261)))
% 225.13/225.10 [8127]P105(f326(f326(f235(a917),f2(a917)),x81271))+~P105(f326(f326(f235(a917),f326(f326(f80(a917),x81271),x81272)),f326(f326(f80(a917),x81271),x81273)))
% 225.13/225.10 [8165]~P105(f326(f326(f328(x81651),f387(x81653,x81652,x81651)),x81653))+P105(f326(f326(f234(f925(x81651,a913)),x81652),x81653))
% 225.13/225.10 [8201]E(f246(x82011,x82012,x82013),x82012)+~P105(f326(f326(f234(f925(x82011,a913)),x82013),f326(f326(f308(x82011),x82012),f188(f925(x82011,a913)))))
% 225.13/225.10 [8251]~P105(f326(f137(x82511),x82513))+E(f326(f136(x82511,f326(f326(f10(a913,a913,x82511),a321),f326(a323,x82512))),x82513),f170(x82511,x82512,x82513))
% 225.13/225.10 [8276]E(f326(f326(f138(x82761),f326(f189(f918(x82761)),f177(x82761,x82762,x82763))),x82763),f113(x82761))+P105(f326(f326(f328(x82761),f720(x82763,x82762,x82761)),f326(f172(x82761),x82763)))
% 225.13/225.10 [8280]E(f326(f326(f134(x82801),f326(f326(f175(x82801),x82802),x82803)),f326(f326(f151(x82801),f326(f326(f164(x82801),x82803),x82802)),f113(x82801))),f326(f326(f175(x82801),f326(a112,x82802)),x82803))+~P105(f326(f326(f235(a917),x82802),f326(f189(f918(x82801)),x82803)))
% 225.13/225.10 [8346]E(f326(f136(x83461,f326(f326(f10(a913,a913,x83461),a321),f326(a323,x83462))),x83463),x83463)+P105(f326(f326(f328(x83461),x83462),f326(f172(x83461),x83463)))
% 225.13/225.10 [8352]P105(f326(f326(f234(f925(f925(x83521,a913),a913)),f247(x83521,x83522)),f247(x83521,x83523)))+~P105(f326(f326(f234(f925(x83521,a913)),x83522),x83523))
% 225.13/225.10 [8391]~P105(f326(f137(x83911),x83913))+P105(f326(f137(x83911),f326(f326(f326(f183(f918(x83911),f918(x83911)),x83912),f167(x83911)),x83913)))
% 225.13/225.10 [8397]~P105(f326(f326(f235(a917),x83972),x83973))+P105(f326(f326(f235(a917),f326(f326(f80(a917),f326(a112,x83971)),x83972)),f326(f326(f80(a917),f326(a112,x83971)),x83973)))
% 225.13/225.10 [8417]P105(f326(f326(f234(f925(f925(x84171,a913),a913)),f326(f307(x84171),x84172)),f326(f307(x84171),x84173)))+~P105(f326(f326(f234(f925(x84171,a913)),x84172),x84173))
% 225.13/225.10 [8486]~E(f326(f309(x84861,x84862,x84863),f241(f925(x84861,a913))),f241(f925(x84862,a913)))+E(f326(f72(x84861,x84862,x84862,x84863),f90(x84861,x84862,f241(f925(x84861,a913)),x84863)),f31(x84862))
% 225.13/225.10 [8579]~P105(f326(f326(f234(f925(x85791,a913)),x85793),x85792))+P105(f326(f326(f234(f925(x85791,a913)),f326(f78(f925(x85791,a913)),x85792)),f326(f78(f925(x85791,a913)),x85793)))
% 225.13/225.10 [8612]E(f326(f309(a917,a917,f326(f326(f9(a917,a917,a917),f3(a917)),x86121)),f326(f301(a917,x86122),x86123)),f326(f301(a917,f326(f326(f3(a917),x86122),x86121)),f326(f326(f3(a917),x86123),x86121)))+~P105(f326(f326(f235(a917),x86121),x86123))
% 225.13/225.10 [8638]~P80(x86381)+E(f326(f326(f79(x86381),x86382),f326(f142(x86381,x86381,f79(x86381),f2(x86381)),x86383)),f326(f142(x86381,x86381,f79(x86381),x86382),x86383))
% 225.13/225.10 [8714]~P84(x87141)+P105(f326(f326(f234(x87141),f326(f75(x87141),f326(f326(f3(x87141),x87142),x87143))),f326(f326(f79(x87141),f326(f75(x87141),x87142)),f326(f75(x87141),x87143))))
% 225.13/225.10 [8715]~P84(x87151)+P105(f326(f326(f234(x87151),f326(f75(x87151),f326(f326(f79(x87151),x87152),x87153))),f326(f326(f79(x87151),f326(f75(x87151),x87152)),f326(f75(x87151),x87153))))
% 225.13/225.10 [8726]E(f326(f326(f79(a1),f326(f326(f80(a1),x87261),f44(a1,f326(f326(f35(a1),x87262),x87261),x87263))),f44(a1,x87262,x87261)),f44(a1,x87262,f326(f326(f80(a1),x87261),x87263)))+~P105(f326(f326(f235(a1),f2(a1)),x87263))
% 225.13/225.10 [8732]E(f326(f326(f134(x87321),f326(f326(f175(x87321),x87322),x87323)),f326(f326(f151(x87321),f326(f141(x87321),f326(f326(f138(x87321),x87322),x87323))),f113(x87321))),f326(f326(f175(x87321),f326(a112,x87322)),x87323))+~P105(f326(f326(f235(a917),x87322),f326(f189(f918(x87321)),x87323)))
% 225.13/225.10 [8752]E(f326(f267(x87521,f326(f326(f154(x87521,f924(a99,x87521)),f326(f251(a99,x87521),f77(a99))),x87522)),f326(a5,x87523)),f326(f326(f164(x87521),x87522),x87523))+~P105(f326(f326(f235(a917),x87523),f326(f189(f918(x87521)),x87522)))
% 225.13/225.10 [8820]P105(f326(f326(f328(f924(x88201,x88201)),x88202),f326(f326(f288(x88201,x88201,x88201),x88203),f306(x88201,x88203))))+~P105(f326(f326(f328(f924(x88201,x88201)),x88202),x88203))
% 225.13/225.10 [8831]E(f326(f309(x88311,x88312,x88313),f241(f925(x88311,a913))),f241(f925(x88312,a913)))+~E(f326(f72(x88311,x88312,x88312,x88313),f90(x88311,x88312,f241(f925(x88311,a913)),x88313)),f31(x88312))
% 225.13/225.10 [8840]P105(f326(f326(f234(a917),x88401),x88402))+~P105(f326(f326(f234(a917),f326(f326(f80(a917),f326(a112,x88403)),x88401)),f326(f326(f80(a917),f326(a112,x88403)),x88402)))
% 225.13/225.10 [8856]P105(f326(f326(f234(f925(x88561,a913)),x88562),x88563))+~P105(f326(f326(f234(f925(x88561,a913)),f326(f78(f925(x88561,a913)),x88563)),f326(f78(f925(x88561,a913)),x88562)))
% 225.13/225.10 [8879]P105(f326(f137(x88791),x88792))+~P105(f326(f137(x88791),f326(f326(f326(f183(f918(x88791),f918(x88791)),x88793),f167(x88791)),x88792)))
% 225.13/225.10 [8952]E(f326(f284(x89521,x89521,f306(x89521,x89522)),x89523),x89523)+~P105(f326(f326(f234(f925(x89521,a913)),f326(f284(x89521,x89521,x89522),x89523)),x89523))
% 225.13/225.10 [9000]~P108(x90001)+P13(x90001,f326(f136(x90001,f326(f326(f9(x90001,x90001,a913),a323),f326(x90002,x90003))),x90003))
% 225.13/225.10 [9007]~P105(f326(f326(f234(a917),x90071),x90072))+P105(f326(f326(f234(a917),x90071),f326(f142(a917,a917,f79(a917),x90072),x90073)))
% 225.13/225.10 [9093]~P105(f326(f326(f328(f924(x90931,x90931)),x90932),f306(x90931,x90933)))+P105(f326(f326(f328(f924(x90931,x90931)),x90932),f326(f326(f183(f924(x90931,x90931),a913),f625(x90933,x90932,x90931)),x90933)))
% 225.13/225.10 [9174]~P80(x91741)+E(f326(f326(f79(x91741),x91742),f326(f142(x91741,x91741,f326(f9(x91741,x91741,x91741),f79(x91741)),f2(x91741)),f326(f168(x91741),x91743))),f326(f142(x91741,x91741,f79(x91741),x91742),x91743))
% 225.13/225.10 [9291]~P26(x92912,x92911,x92913,f241(f925(x92912,a913)),f241(f925(x92911,a913)))+E(f90(x92911,x92912,f241(f925(x92911,a913)),f90(x92912,x92911,f241(f925(x92912,a913)),x92913)),x92913)
% 225.13/225.10 [9444]P54(x94441,x94442,x94443)+P105(f326(f326(f328(f924(x94441,x94442)),f326(f326(f251(x94441,x94442),f615(x94443,x94442,x94441)),f600(x94443,x94442,x94441))),x94443))
% 225.13/225.10 [9445]P54(x94451,x94452,x94453)+P105(f326(f326(f328(f924(x94451,x94452)),f326(f326(f251(x94451,x94452),f615(x94453,x94452,x94451)),f599(x94453,x94452,x94451))),x94453))
% 225.13/225.10 [9515]~P105(f326(f326(f328(f924(x95151,x95151)),x95152),f326(f326(f288(x95151,x95151,x95151),x95153),f306(x95151,x95153))))+P105(f326(f326(f328(f924(x95151,x95151)),x95152),f326(f326(f183(f924(x95151,x95151),a913),f627(x95153,x95152,x95151)),x95153)))
% 225.13/225.10 [9516]~P105(f326(x95161,f326(f326(f164(x95162),x95163),f326(f189(f918(x95162)),f177(x95162,x95161,x95163)))))+~P105(f326(f326(f235(a917),f326(f189(f918(x95162)),f177(x95162,x95161,x95163))),f326(f189(f918(x95162)),x95163)))
% 225.13/225.10 [9607]~P105(f326(f326(f234(f925(x96071,a913)),x96072),x96073))+P105(f326(f326(f234(f925(x96071,a913)),f326(f326(f9(x96071,f925(x96071,a913),a913),f328(x96071)),x96072)),f326(f326(f9(x96071,f925(x96071,a913),a913),f328(x96071)),x96073)))
% 225.13/225.10 [9667]~P105(f326(f326(f328(f924(f925(x96671,a913),f925(x96671,a913))),f326(f326(f251(f925(x96671,a913),f925(x96671,a913)),x96672),x96673)),f313(x96671)))+P105(f326(f326(f235(f925(x96671,a913)),x96672),x96673))
% 225.13/225.10 [9695]P55(x96951,x96952,x96953)+~P105(f326(f326(f328(f924(x96951,x96951)),f326(f326(f251(x96951,x96951),f618(x96953,x96952,x96951)),f617(x96953,x96952,x96951))),x96953))
% 225.13/225.10 [9696]P55(x96961,x96962,x96963)+~P105(f326(f326(f328(f924(x96961,x96961)),f326(f326(f251(x96961,x96961),f617(x96963,x96962,x96961)),f618(x96963,x96962,x96961))),x96963))
% 225.13/225.10 [9733]~P105(f326(f326(f328(f924(f918(x97331),f918(x97331))),f326(f326(f251(f918(x97331),f918(x97331)),x97332),x97332)),f147(x97331,x97333)))+P105(f326(f326(f328(f924(x97331,x97331)),f326(f326(f251(x97331,x97331),f658(x97332,x97333,x97331)),f658(x97332,x97333,x97331))),x97333))
% 225.13/225.10 [9783]P105(f326(f326(f234(f925(x97831,a913)),x97832),x97833))+~P105(f326(f326(f234(f925(x97831,a913)),f326(f326(f9(x97831,f925(x97831,a913),a913),f328(x97831)),x97832)),f326(f326(f9(x97831,f925(x97831,a913),a913),f328(x97831)),x97833)))
% 225.13/225.10 [9864]E(f326(f326(f3(a917),f326(f326(f8(a917,a917),x98641),f326(f281(a917),x98642))),f326(f326(f8(a917,a917),x98643),f326(f281(a917),x98642))),f326(f326(f8(a917,a917),f326(f326(f20(a917,a917,a917),f326(f326(f10(a917,f925(a917,a917),a917),f3(a917)),x98641)),x98643)),f326(f281(a917),x98642)))+~P105(f326(f326(f234(a917),f326(x98643,f493(x98642,x98641,x98643))),f326(x98641,f493(x98642,x98641,x98643))))
% 225.13/225.10 [5831]~P74(x58311)+E(f326(f326(f3(x58311),f326(f326(f79(x58311),x58312),x58313)),x58313),x58312)
% 225.13/225.10 [5832]~P74(x58321)+E(f326(f326(f79(x58321),f326(f326(f3(x58321),x58322),x58323)),x58323),x58322)
% 225.13/225.10 [6063]~P74(x60631)+E(f326(f326(f79(x60631),x60632),f326(f326(f79(x60631),f326(f78(x60631),x60632)),x60633)),x60633)
% 225.13/225.10 [6151]~P79(x61511)+E(f326(f326(f80(x61511),f326(f326(f243(x61511),x61512),x61513)),x61512),f326(f326(f243(x61511),x61512),f326(a112,x61513)))
% 225.13/225.10 [6152]~P120(x61521)+E(f326(f326(f80(x61521),f326(f326(f243(x61521),x61522),x61523)),x61522),f326(f326(f243(x61521),x61522),f326(a112,x61523)))
% 225.13/225.10 [6371]~P113(x63711)+E(f326(f75(x63711),f326(f326(f243(x63711),f326(f78(x63711),x63712)),x63713)),f326(f75(x63711),f326(f326(f243(x63711),x63712),x63713)))
% 225.13/225.10 [6415]~P79(x64151)+E(f326(f326(f80(x64151),f326(f326(f243(x64151),x64152),x64153)),x64152),f326(f326(f80(x64151),x64152),f326(f326(f243(x64151),x64152),x64153)))
% 225.13/225.10 [6475]E(f326(f326(f3(a99),f326(f326(f79(a99),x64751),x64752)),x64753),f273(x64751,x64752,x64753))+~P105(f326(f326(f235(a99),x64752),x64753))
% 225.13/225.10 [6499]~E(f326(f326(f138(x64991),x64993),x64992),f113(x64991))+P105(f326(f326(f234(a917),f326(f189(f918(x64991)),x64992)),x64993))
% 225.13/225.10 [6634]E(f326(f326(f80(a917),f326(f104(a917),x66341)),f326(f326(f80(a917),f326(f104(a917),x66342)),x66343)),f2(a917))+~P105(f326(f326(f235(a1),x66341),a82))
% 225.13/225.10 [6650]~P61(x66501)+E(f326(f326(f243(x66501),f326(f326(f290(x66501),f77(x66501)),x66502)),x66503),f326(f326(f290(x66501),f77(x66501)),f326(f326(f243(x66501),x66502),x66503)))
% 225.13/225.10 [6729]E(f326(f326(f3(a917),f326(f326(f79(a917),x67291),x67292)),x67293),f326(f326(f3(a917),x67291),f326(f326(f3(a917),x67293),x67292)))+~P105(f326(f326(f234(a917),x67292),x67293))
% 225.13/225.10 [6731]E(f326(f326(f3(a917),f326(f326(f79(a917),x67311),x67312)),x67313),f326(f326(f79(a917),x67311),f326(f326(f3(a917),x67312),x67313)))+~P105(f326(f326(f234(a917),x67313),x67312))
% 225.13/225.10 [6769]~P108(x67691)+P105(f326(f326(f234(x67691),f326(f326(f238(x67691),x67692),x67693)),x67693))
% 225.13/225.10 [6770]~P108(x67701)+P105(f326(f326(f234(x67701),f326(f326(f238(x67701),x67702),x67703)),x67702))
% 225.13/225.10 [6771]~P99(x67711)+P105(f326(f326(f234(x67711),f326(f326(f102(x67711),x67712),x67713)),x67713))
% 225.13/225.10 [6772]~P102(x67721)+P105(f326(f326(f234(x67721),f326(f326(f102(x67721),x67722),x67723)),x67723))
% 225.13/225.10 [6773]~P99(x67731)+P105(f326(f326(f234(x67731),f326(f326(f102(x67731),x67732),x67733)),x67732))
% 225.13/225.10 [6774]~P102(x67741)+P105(f326(f326(f234(x67741),f326(f326(f102(x67741),x67742),x67743)),x67742))
% 225.13/225.10 [6788]E(f326(f326(f35(a1),f326(f326(f35(a1),x67881),x67882)),x67883),f326(f326(f35(a1),x67881),f326(f326(f80(a1),x67882),x67883)))+~P105(f326(f326(f235(a1),f2(a1)),x67883))
% 225.13/225.10 [6840]~P120(x68401)+E(f326(f326(f79(x68401),f326(f326(f80(x68401),x68402),x68403)),x68403),f326(f326(f80(x68401),f326(f326(f79(x68401),x68402),f77(x68401))),x68403))
% 225.13/225.10 [6841]~P92(x68411)+E(f326(f326(f80(x68411),f326(f78(x68411),f326(f104(x68411),x68412))),x68413),f326(f326(f80(x68411),f326(f104(x68411),f326(f78(a1),x68412))),x68413))
% 225.13/225.10 [6914]~P80(x69141)+E(f326(f165(x69141),f326(f326(f154(x69142,x69141),f326(f18(x69141,x69142),f2(x69141))),x69143)),f2(x69141))
% 225.13/225.10 [6931]E(f326(f326(f79(a917),f326(f104(a917),x69311)),f326(f326(f79(a917),f326(f104(a917),x69312)),x69313)),f326(f326(f79(a917),f326(f104(a917),x69312)),x69313))+~P105(f326(a193,f326(f104(a1),x69311)))
% 225.13/225.10 [6946]~P5(x69461)+E(f36(x69461,f326(f326(f308(x69461),x69462),f326(f326(f308(x69461),x69463),f188(f925(x69461,a913))))),f326(f326(f101(x69461),x69462),x69463))
% 225.13/225.10 [6947]~P5(x69471)+E(f37(x69471,f326(f326(f308(x69471),x69472),f326(f326(f308(x69471),x69473),f188(f925(x69471,a913))))),f326(f326(f102(x69471),x69472),x69473))
% 225.13/225.10 [6969]E(f326(f326(f175(x69691),x69692),x69693),x69693)+~P105(f326(f326(f234(a917),f326(f189(f918(x69691)),x69693)),x69692))
% 225.13/225.10 [6981]E(f326(f326(f138(x69811),x69812),x69813),f113(x69811))+~P105(f326(f326(f234(a917),f326(f189(f918(x69811)),x69813)),x69812))
% 225.13/225.10 [6992]E(f326(f326(f79(a917),f326(f326(f3(a917),x69921),x69922)),x69923),f326(f326(f3(a917),f326(f326(f79(a917),x69921),x69923)),x69922))+~P105(f326(f326(f234(a917),x69922),x69921))
% 225.13/225.10 [7006]~P105(f326(f326(f235(a917),x70061),x70063))+P105(f326(f326(f235(a917),f326(f326(f3(a917),x70061),x70062)),x70063))
% 225.13/225.10 [7033]~P108(x70331)+E(f170(x70331,x70332,f326(f326(f148(x70331,x70331,f7(x70331)),x70332),x70333)),x70333)
% 225.13/225.10 [7123]E(f326(f326(f3(a917),f326(f326(f79(a917),x71231),x71232)),f326(a112,x71233)),f326(f326(f3(a917),x71231),f326(a112,f326(f326(f3(a917),x71233),x71232))))+~P105(f326(f326(f234(a917),x71232),x71233))
% 225.13/225.10 [7124]~P113(x71241)+P105(f326(f326(f234(x71241),f2(x71241)),f326(f326(f243(x71241),f326(f75(x71241),x71242)),x71243)))
% 225.13/225.10 [7170]P24(x71701,x71702,x71703)+~P105(f326(f326(f234(f925(f916(x71701),a913)),x71703),x71702))
% 225.13/225.10 [7212]~P105(f326(f60(x72121),x72122))+P105(f326(f60(x72121),f326(f326(f3(f925(x72121,a913)),x72122),x72123)))
% 225.13/225.10 [7213]~P105(f326(f60(x72131),x72133))+P105(f326(f60(x72131),f326(f326(f102(f925(x72131,a913)),x72132),x72133)))
% 225.13/225.10 [7214]~P105(f326(f60(x72141),x72142))+P105(f326(f60(x72141),f326(f326(f102(f925(x72141,a913)),x72142),x72143)))
% 225.13/225.10 [7356]~P37(x73561,x73563)+P37(x73561,f326(f326(f102(f925(f924(x73561,x73561),a913)),x73562),x73563))
% 225.13/225.10 [7357]~P37(x73571,x73572)+P37(x73571,f326(f326(f102(f925(f924(x73571,x73571),a913)),x73572),x73573))
% 225.13/225.10 [7483]~P108(x74831)+E(f16(x74831,f326(f172(x74831),f326(f326(f151(x74831),x74832),x74833))),f326(f142(x74831,x74831,f233(x74831),x74832),x74833))
% 225.13/225.10 [7484]~P108(x74841)+E(f17(x74841,f326(f172(x74841),f326(f326(f151(x74841),x74842),x74843))),f326(f142(x74841,x74841,f238(x74841),x74842),x74843))
% 225.13/225.10 [7485]~P99(x74851)+E(f12(x74851,f326(f172(x74851),f326(f326(f151(x74851),x74852),x74853))),f326(f142(x74851,x74851,f101(x74851),x74852),x74853))
% 225.13/225.10 [7486]~P99(x74861)+E(f13(x74861,f326(f172(x74861),f326(f326(f151(x74861),x74862),x74863))),f326(f142(x74861,x74861,f102(x74861),x74862),x74863))
% 225.13/225.10 [7548]~P105(f326(f60(x75481),x75482))+P105(f326(f326(f234(a917),f326(f34(x75481),x75482)),f326(f34(x75481),f326(f326(f308(x75481),x75483),x75482))))
% 225.13/225.10 [7555]E(f326(f326(f101(f925(a917,a913)),f326(f301(a917,x75551),x75552)),f326(f301(a917,x75552),f326(f326(f79(a917),x75552),x75553))),f326(f301(a917,x75551),f326(f326(f79(a917),x75552),x75553)))+~P105(f326(f326(f234(a917),x75551),x75552))
% 225.13/225.10 [7564]P105(f326(f326(f234(a917),x75641),x75642))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x75643),x75641)),x75642))
% 225.13/225.10 [7565]P105(f326(f326(f234(a917),x75651),x75652))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x75651),x75653)),x75652))
% 225.13/225.10 [7566]P105(f326(f326(f235(a917),x75661),x75662))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),x75661),x75663)),x75662))
% 225.13/225.10 [7605]~P108(x76051)+E(f14(x76051,f238(x76051),f326(f172(x76051),f326(f326(f151(x76051),x76052),x76053))),f326(f142(x76051,x76051,f238(x76051),x76052),x76053))
% 225.13/225.10 [7606]~P108(x76061)+E(f15(x76061,f233(x76061),f326(f172(x76061),f326(f326(f151(x76061),x76062),x76063))),f326(f142(x76061,x76061,f233(x76061),x76062),x76063))
% 225.13/225.10 [7610]~E(x76102,f188(f925(f924(x76101,x76101),a913)))+P105(f326(f326(f234(f925(f924(x76101,x76101),a913)),x76102),x76103))
% 225.13/225.10 [7711]E(f326(f326(f101(f925(x77111,a913)),x77112),f326(f326(f3(f925(x77111,a913)),x77113),x77112)),x77113)+~P105(f326(f326(f234(f925(x77111,a913)),x77112),x77113))
% 225.13/225.10 [7712]~P105(f326(f326(f234(a917),x77121),f326(f326(f79(a917),x77123),x77122)))+P105(f326(f326(f234(a917),f326(f326(f3(a917),x77121),x77122)),x77123))
% 225.13/225.10 [7713]~P105(f326(f326(f235(a917),x77131),f326(f326(f3(a917),x77133),x77132)))+P105(f326(f326(f235(a917),f326(f326(f79(a917),x77131),x77132)),x77133))
% 225.13/225.10 [7769]E(x77691,f113(x77692))+E(f326(f141(x77692),f326(f326(f326(f183(f918(x77692),f918(x77692)),x77693),f167(x77692)),x77691)),f326(f326(f164(x77692),x77691),f44(a917,x77693,f326(f189(f918(x77692)),x77691))))
% 225.13/225.10 [7778]E(f326(f326(f308(x77781),x77782),f326(f326(f3(f925(x77781,a913)),x77783),f326(f326(f308(x77781),x77782),f188(f925(x77781,a913))))),x77783)+~P105(f326(f326(f328(x77781),x77782),x77783))
% 225.13/225.10 [7940]P105(f326(f326(f234(a917),x79401),f326(f326(f79(a917),x79402),x79403)))+~P105(f326(f326(f234(a917),f326(f326(f3(a917),x79401),x79403)),x79402))
% 225.13/225.10 [7941]P105(f326(f326(f235(a917),x79411),f326(f326(f3(a917),x79412),x79413)))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),x79411),x79413)),x79412))
% 225.13/225.10 [7966]P105(f326(f60(x79661),x79662))+~P105(f326(f60(x79661),f326(f326(f101(f925(x79661,a913)),x79663),x79662)))
% 225.13/225.10 [7967]P105(f326(f60(x79671),x79672))+~P105(f326(f60(x79671),f326(f326(f101(f925(x79671,a913)),x79672),x79673)))
% 225.13/225.10 [8040]~P46(x80401,x80403)+P105(f326(f326(f328(f924(x80401,x80401)),f326(f326(f251(x80401,x80401),x80402),x80402)),x80403))
% 225.13/225.10 [8174]E(f326(f326(f164(a917),f139(a917,f326(f301(a917,x81741),x81742))),x81743),f326(f326(f79(a917),x81741),x81743))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),x81741),x81743)),x81742))
% 225.13/225.10 [8240]E(f326(f326(f175(a917),x82401),f139(a917,f326(f301(a917,x82402),x82403))),f139(a917,f326(f301(a917,x82402),f326(f326(f79(a917),x82402),x82401))))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x82402),x82401)),x82403))
% 225.13/225.10 [8296]~P92(x82961)+E(f326(f326(f243(x82961),x82962),f326(f104(a917),f326(f326(f79(a1),x82963),x82963))),f326(f326(f85(x82961,x82961),f326(f326(f243(x82961),x82962),f326(f104(a917),x82963))),f326(f326(f20(x82961,x82961,x82961),f80(x82961)),f7(x82961))))
% 225.13/225.10 [8560]E(f326(f326(f134(x85601),f326(f326(f175(x85601),x85602),x85603)),f326(f326(f151(x85601),f326(f326(f164(x85601),x85603),x85602)),f326(f326(f138(x85601),f326(a112,x85602)),x85603))),x85603)+~P105(f326(f326(f235(a917),x85602),f326(f189(f918(x85601)),x85603)))
% 225.13/225.10 [8567]P105(f326(f326(f234(f925(x85671,a913)),f314(x85671,x85672)),f314(x85671,x85673)))+~P105(f326(f326(f234(f925(x85671,f925(x85671,a913))),x85673),x85672))
% 225.13/225.10 [8568]~P55(x85681,x85682,x85683)+P55(x85681,x85682,f326(f326(f3(f925(f924(x85681,x85681),a913)),x85683),f306(x85681,f188(f925(f924(x85681,x85681),a913)))))
% 225.13/225.10 [8587]P105(f326(f326(f234(f925(x85871,a913)),f315(x85871,x85872)),f315(x85871,x85873)))+~P105(f326(f326(f234(f925(f924(x85871,x85871),a913)),x85873),x85872))
% 225.13/225.10 [8594]~P128(x85941)+P105(f326(f326(f234(x85941),f2(x85941)),f326(f326(f79(x85941),f326(f326(f80(x85941),x85942),x85942)),f326(f326(f80(x85941),x85943),x85943))))
% 225.13/225.10 [8627]P105(f326(f326(f234(f925(x86271,a913)),f326(f280(x86271),x86272)),f326(f280(x86271),x86273)))+~P105(f326(f326(f234(f925(f924(x86271,x86271),a913)),x86272),x86273))
% 225.13/225.10 [8656]~P53(x86561,x86562)+~P105(f326(f326(f328(f924(x86561,x86561)),f326(f326(f251(x86561,x86561),x86563),x86563)),x86562))
% 225.13/225.10 [8658]~P37(x86581,x86582)+~P105(f326(f326(f328(f924(x86581,x86581)),f326(f326(f251(x86581,x86581),x86583),x86583)),x86582))
% 225.13/225.10 [8716]P105(f326(f326(f234(f925(x87161,a913)),f36(f925(x87161,a913),x87162)),f36(f925(x87161,a913),x87163)))+~P105(f326(f326(f234(f925(f925(x87161,a913),a913)),x87162),x87163))
% 225.13/225.10 [8717]P105(f326(f326(f234(f925(x87171,a913)),f37(f925(x87171,a913),x87172)),f37(f925(x87171,a913),x87173)))+~P105(f326(f326(f234(f925(f925(x87171,a913),a913)),x87173),x87172))
% 225.13/225.10 [8771]~P8(x87711,x87713,x87712)+P105(f326(f326(f234(f925(f924(x87711,x87711),a913)),x87712),f326(f326(f253(x87711,x87711),x87713),f326(f18(f925(x87711,a913),x87711),x87713))))
% 225.13/225.10 [8772]~P52(x87721,x87723,x87722)+P105(f326(f326(f234(f925(f924(x87721,x87721),a913)),x87722),f326(f326(f253(x87721,x87721),x87723),f326(f18(f925(x87721,a913),x87721),x87723))))
% 225.13/225.10 [8821]~P84(x88211)+P105(f326(f326(f234(x88211),f326(f326(f3(x88211),f326(f75(x88211),x88212)),f326(f75(x88211),x88213))),f326(f75(x88211),f326(f326(f3(x88211),x88213),x88212))))
% 225.13/225.10 [8822]~P84(x88221)+P105(f326(f326(f234(x88221),f326(f326(f3(x88221),f326(f75(x88221),x88222)),f326(f75(x88221),x88223))),f326(f75(x88221),f326(f326(f3(x88221),x88222),x88223))))
% 225.13/225.10 [8854]P105(f326(f326(f234(f925(f924(x88541,x88541),a913)),f306(x88541,x88542)),f306(x88541,x88543)))+~P105(f326(f326(f234(f925(f924(x88541,x88541),a913)),x88542),x88543))
% 225.13/225.10 [8965]~P25(x89652,x89651,x89653,f241(f925(x89652,a913)))+E(f326(f72(x89651,x89652,x89652,f90(x89652,x89651,f241(f925(x89652,a913)),x89653)),x89653),f31(x89652))
% 225.13/225.10 [9025]P55(x90251,x90252,x90253)+~P55(x90251,x90252,f326(f326(f3(f925(f924(x90251,x90251),a913)),x90253),f306(x90251,f188(f925(f924(x90251,x90251),a913)))))
% 225.13/225.10 [9045]P105(f326(f326(f234(f925(f924(f918(x90451),f918(x90451)),a913)),f157(x90451,x90452)),f157(x90451,x90453)))+~P105(f326(f326(f234(f925(f924(x90451,x90451),a913)),x90452),x90453))
% 225.13/225.10 [9046]P105(f326(f326(f234(f925(f924(f918(x90461),f918(x90461)),a913)),f158(x90461,x90462)),f158(x90461,x90463)))+~P105(f326(f326(f234(f925(f924(x90461,x90461),a913)),x90462),x90463))
% 225.13/225.10 [9067]~P52(x90671,x90673,x90672)+P105(f326(f326(f234(f925(f924(x90671,x90671),a913)),x90672),f326(f326(f288(x90671,x90671,x90671),f326(f285(x90671,x90671),x90672)),x90672)))
% 225.13/225.10 [9119]~P105(f326(f137(x91191),x91192))+E(f326(f136(x91191,f326(f326(f9(x91191,f925(x91191,a913),a913),f328(x91191)),f326(f172(x91191),f176(x91191,x91192,x91193)))),x91192),f176(x91191,x91192,x91193))
% 225.13/225.10 [9172]E(x91721,x91722)+~P105(f326(f326(f328(f924(x91723,x91723)),f326(f326(f251(x91723,x91723),x91721),x91722)),f306(x91723,f188(f925(f924(x91723,x91723),a913)))))
% 225.13/225.10 [9254]P105(f326(f326(f328(x92541),x92542),f315(x92541,x92543)))+P105(f326(f326(f328(f924(x92541,x92541)),f326(f326(f251(x92541,x92541),f522(x92543,x92542,x92541)),x92542)),x92543))
% 225.13/225.10 [9255]P105(f326(f326(f328(x92551),x92552),f315(x92551,x92553)))+P105(f326(f326(f328(f924(x92551,x92551)),f326(f326(f251(x92551,x92551),f605(x92553,x92552,x92551)),x92552)),x92553))
% 225.13/225.10 [9256]P105(f326(f326(f328(x92561),x92562),f315(x92561,x92563)))+P105(f326(f326(f328(f924(x92561,x92561)),f326(f326(f251(x92561,x92561),f607(x92563,x92562,x92561)),x92562)),x92563))
% 225.13/225.10 [9292]P25(x92921,x92922,x92923,f241(f925(x92921,a913)))+~E(f326(f72(x92922,x92921,x92921,f90(x92921,x92922,f241(f925(x92921,a913)),x92923)),x92923),f31(x92921))
% 225.13/225.10 [9345]~P105(f326(f326(f328(f918(x93451)),x93453),f161(x93451,x93452)))+P105(f326(f160(x93451,f326(f326(f9(x93451,f925(x93451,a913),a913),f328(x93451)),x93452)),x93453))
% 225.13/225.10 [9368]P105(f326(x93683,x93682))+E(f326(f261(x93681),f326(f326(f20(x93681,a913,a913),f326(f326(f10(a913,f925(a913,a913),x93681),a324),f326(a323,x93682))),x93683)),f188(f925(x93681,a913)))
% 225.13/225.10 [9384]~P84(x93841)+P105(f326(f326(f234(x93841),f326(f75(x93841),f326(f326(f3(x93841),f326(f75(x93841),x93842)),f326(f75(x93841),x93843)))),f326(f75(x93841),f326(f326(f3(x93841),x93842),x93843))))
% 225.13/225.10 [9398]~P105(f326(x93983,x93982))+E(f326(f261(x93981),f326(f326(f20(x93981,a913,a913),f326(f326(f10(a913,f925(a913,a913),x93981),a324),f326(a323,x93982))),x93983)),f326(f326(f308(x93981),x93982),f188(f925(x93981,a913))))
% 225.13/225.10 [9407]~P105(f326(f326(f328(f925(x94071,a913)),x94073),f326(f307(x94071),x94072)))+P105(f326(f247(x94071,f326(f326(f9(x94071,f925(x94071,a913),a913),f328(x94071)),x94072)),x94073))
% 225.13/225.10 [9443]P37(x94431,x94432)+P105(f326(f326(f328(f924(x94431,x94431)),f326(f326(f251(x94431,x94431),f326(f568(x94432,x94431),f326(a112,x94433))),f326(f568(x94432,x94431),x94433))),x94432))
% 225.13/225.10 [9584]P105(f326(f326(f328(f918(x95841)),x95842),f161(x95841,x95843)))+~P105(f326(f160(x95841,f326(f326(f9(x95841,f925(x95841,a913),a913),f328(x95841)),x95843)),x95842))
% 225.13/225.10 [9599]P105(f326(f326(f328(f925(x95991,a913)),x95992),f326(f307(x95991),x95993)))+~P105(f326(f247(x95991,f326(f326(f9(x95991,f925(x95991,a913),a913),f328(x95991)),x95993)),x95992))
% 225.13/225.10 [9662]P105(f326(f326(f328(x96621),f326(f267(x96621,x96622),x96623)),f326(f172(x96621),f326(f326(f154(f924(a99,x96621),x96621),f255(a99,x96621)),x96622))))+~P105(f326(f326(f235(a99),x96623),f326(f165(a99),f326(f326(f154(f924(a99,x96621),a99),f250(a99,x96621)),x96622))))
% 225.13/225.10 [9712]P105(f326(f326(f234(f925(f924(f918(x97121),f918(x97121)),a913)),f158(x97121,x97122)),f326(f326(f253(f918(x97121),f918(x97121)),f161(x97121,x97123)),f326(f18(f925(f918(x97121),a913),f918(x97121)),f161(x97121,x97123)))))+~P105(f326(f326(f234(f925(f924(x97121,x97121),a913)),x97122),f326(f326(f253(x97121,x97121),x97123),f326(f18(f925(x97121,a913),x97121),x97123))))
% 225.13/225.10 [9736]P105(f326(f326(f328(x97361),f326(f250(x97361,f924(a99,a99)),f326(f265(x97361,x97362),x97363))),f326(f172(x97361),f326(f326(f154(f924(a99,x97361),x97361),f255(a99,x97361)),x97362))))+~P105(f326(f326(f235(a99),f2(a99)),f326(f165(a99),f326(f326(f154(f924(a99,x97361),a99),f250(a99,x97361)),x97362))))
% 225.13/225.10 [9751]~P105(f326(f326(f234(f925(f924(x97511,x97511),a913)),x97512),f326(f326(f253(x97511,x97511),x97513),f326(f18(f925(x97511,a913),x97511),x97513))))+P105(f326(f326(f234(f925(f924(x97511,x97511),a913)),f326(f326(f288(x97511,x97511,x97511),x97512),f306(x97511,x97512))),f326(f326(f253(x97511,x97511),x97513),f326(f18(f925(x97511,a913),x97511),x97513))))
% 225.13/225.10 [10051]~P37(x100511,x100512)+~P105(f326(f326(f328(f924(x100511,x100511)),f326(f326(f251(x100511,x100511),f326(x100513,f326(a112,f569(x100512,x100511,x100513)))),f326(x100513,f569(x100512,x100511,x100513)))),x100512))
% 225.13/225.10 [10052]~P37(x100521,x100522)+~P105(f326(f326(f328(f924(x100521,x100521)),f326(f326(f251(x100521,x100521),f326(x100523,f326(a112,f609(x100523,x100522,x100521)))),f326(x100523,f609(x100523,x100522,x100521)))),x100522))
% 225.13/225.10 [10310]P105(f326(f326(f234(f925(f924(f925(x103101,a913),f925(x103101,a913)),a913)),f326(f326(f288(f925(x103101,a913),f925(x103101,a913),f925(x103101,a913)),f319(x103101,x103102)),f326(f326(f101(f925(f924(f925(x103101,a913),f925(x103101,a913)),a913)),f319(x103101,x103103)),f326(f326(f308(f924(f925(x103101,a913),f925(x103101,a913))),f326(f326(f251(f925(x103101,a913),f925(x103101,a913)),f188(f925(x103101,a913))),f188(f925(x103101,a913)))),f188(f925(f924(f925(x103101,a913),f925(x103101,a913)),a913)))))),f319(x103101,x103102)))+~P105(f326(f326(f234(f925(f924(x103101,x103101),a913)),f326(f326(f288(x103101,x103101,x103101),x103102),x103103)),x103102))
% 225.13/225.10 [10311]P105(f326(f326(f234(f925(f924(f925(x103111,a913),f925(x103111,a913)),a913)),f326(f326(f288(f925(x103111,a913),f925(x103111,a913),f925(x103111,a913)),f317(x103111,x103112)),f326(f326(f101(f925(f924(f925(x103111,a913),f925(x103111,a913)),a913)),f317(x103111,x103113)),f326(f326(f308(f924(f925(x103111,a913),f925(x103111,a913))),f326(f326(f251(f925(x103111,a913),f925(x103111,a913)),f188(f925(x103111,a913))),f188(f925(x103111,a913)))),f188(f925(f924(f925(x103111,a913),f925(x103111,a913)),a913)))))),f317(x103111,x103112)))+~P105(f326(f326(f234(f925(f924(x103111,x103111),a913)),f326(f326(f288(x103111,x103111,x103111),x103112),x103113)),x103112))
% 225.13/225.10 [7482]~P105(f326(f326(f234(a917),x74822),x74821))+E(f326(f326(f3(a917),f326(a112,f326(f326(f3(a917),x74821),x74822))),x74823),f326(f326(f3(a917),f326(a112,x74821)),f326(f326(f79(a917),x74822),x74823)))
% 225.13/225.10 [7522]~P3(x75221)+E(f326(f326(f79(x75221),f44(x75221,x75222,x75223)),f326(f326(f80(x75221),f326(f326(f35(x75221),x75222),x75223)),x75223)),x75222)
% 225.13/225.10 [7717]E(f326(f326(f80(a917),f326(f104(a917),x77171)),f326(f326(f80(a917),f326(f104(a917),x77172)),x77173)),f326(f326(f80(a917),f326(f104(a917),f326(f326(f80(a1),x77171),x77172))),x77173))+P105(f326(f326(f235(a1),x77171),a82))
% 225.13/225.10 [8183]~P105(f326(f326(f234(a917),x81833),x81832))+P105(f326(f326(f234(a917),x81831),f326(f326(f3(a917),f326(f326(f79(a917),x81832),x81831)),x81833)))
% 225.13/225.10 [8382]~P105(f326(f326(f234(a917),x83821),x83822))+E(f326(f326(f134(a917),f139(a917,f326(f301(a917,x83821),x83822))),f139(a917,f326(f301(a917,x83822),f326(f326(f79(a917),x83822),x83823)))),f139(a917,f326(f301(a917,x83821),f326(f326(f79(a917),x83822),x83823))))
% 225.13/225.10 [8635]~P105(f326(f60(x86351),x86352))+E(f326(a112,f326(f34(x86351),f326(f326(f3(f925(x86351,a913)),x86352),f326(f326(f308(x86351),x86353),f188(f925(x86351,a913)))))),f326(f34(x86351),f326(f326(f308(x86351),x86353),x86352)))
% 225.13/225.10 [8674]~P105(f326(f60(x86741),x86742))+E(f326(f326(f79(a917),f77(a917)),f326(f34(x86741),f326(f326(f3(f925(x86741,a913)),x86742),f326(f326(f308(x86741),x86743),f188(f925(x86741,a913)))))),f326(f34(x86741),f326(f326(f308(x86741),x86743),x86742)))
% 225.13/225.10 [8863]E(f326(f326(f3(a917),f326(f34(x88631),x88632)),f326(f34(x88631),f326(f326(f102(f925(x88631,a913)),x88632),x88633))),f326(f34(x88631),f326(f326(f3(f925(x88631,a913)),x88632),x88633)))+~P105(f326(f60(x88631),f326(f326(f102(f925(x88631,a913)),x88632),x88633)))
% 225.13/225.10 [9114]~P6(f326(x91142,f474(x91142,x91143,x91141)))+E(f326(f100(a1),f326(f326(f8(x91141,a917),f326(f326(f10(a1,a917,x91141),a105),x91142)),x91143)),f326(f326(f8(x91141,a1),x91142),x91143))
% 225.13/225.10 [9115]~P6(f326(x91152,f475(x91152,x91153,x91151)))+E(f326(f100(a1),f326(f326(f11(x91151,a917),f326(f326(f10(a1,a917,x91151),a105),x91152)),x91153)),f326(f326(f11(x91151,a1),x91152),x91153))
% 225.13/225.10 [9155]~P105(f326(f60(x91551),x91553))+P105(f326(f326(f234(a917),f326(f326(f3(a917),f326(f34(x91551),x91552)),f326(f34(x91551),x91553))),f326(f34(x91551),f326(f326(f3(f925(x91551,a913)),x91552),x91553))))
% 225.13/225.10 [9182]P105(f326(f326(f328(x91821),f474(x91822,x91823,x91821)),x91823))+E(f326(f100(a1),f326(f326(f8(x91821,a917),f326(f326(f10(a1,a917,x91821),a105),x91822)),x91823)),f326(f326(f8(x91821,a1),x91822),x91823))
% 225.13/225.10 [9183]P105(f326(f326(f328(x91831),f475(x91832,x91833,x91831)),x91833))+E(f326(f100(a1),f326(f326(f11(x91831,a917),f326(f326(f10(a1,a917,x91831),a105),x91832)),x91833)),f326(f326(f11(x91831,a1),x91832),x91833))
% 225.13/225.10 [9246]E(f84(x92461,f326(f326(f9(x92461,f925(x92461,a913),a913),f328(x92461)),f326(f326(f3(f925(x92461,a913)),x92462),f326(f326(f308(x92461),x92463),f188(f925(x92461,a913)))))),f246(x92461,x92463,x92462))+P105(f326(f326(f234(f925(x92461,a913)),x92462),f326(f326(f308(x92461),x92463),f188(f925(x92461,a913)))))
% 225.13/225.10 [9600]E(f326(f326(f154(f918(x96001),x96001),f326(f326(f9(f918(x96001),a917,x96001),f164(x96001)),x96002)),f326(f136(f918(x96001),f326(f326(f10(a917,a913,f918(x96001)),f326(f235(a917),x96002)),f189(f918(x96001)))),x96003)),f326(f326(f164(f918(x96001)),f179(x96001,x96003)),x96002))+~P105(f326(f326(f235(a917),x96002),f326(f189(f918(f918(x96001))),f179(x96001,x96003))))
% 225.13/225.10 [9685]E(f326(f136(x96851,x96852),x96853),f177(x96851,x96852,x96853))+P105(f326(f326(f328(x96851),f723(x96853,x96852,x96851)),f326(f172(x96851),f326(f326(f138(x96851),f326(f189(f918(x96851)),f177(x96851,x96852,x96853))),x96853))))
% 225.13/225.10 [9824]E(f326(f326(f138(x98241),f326(f189(f918(x98241)),f177(x98241,x98242,x98243))),x98243),f113(x98241))+~P105(f326(x98242,f326(f141(x98241),f326(f326(f138(x98241),f326(f189(f918(x98241)),f177(x98241,x98242,x98243))),x98243))))
% 225.13/225.10 [9917]~P105(f326(f326(f328(f924(x99171,x99171)),x99172),f306(x99171,x99173)))+P105(f326(f326(f328(f924(x99171,x99171)),x99172),f326(f326(f38(a917,f925(f924(x99171,x99171),a913)),f241(f925(a917,a913))),f326(f326(f9(a917,f925(f924(x99171,x99171),a913),f925(f924(x99171,x99171),a913)),f183(f924(x99171,x99171),a913)),x99173))))
% 225.13/225.10 [9977]~P105(f326(f326(f234(f925(x99771,a913)),f326(f326(f38(a917,f925(x99771,a913)),f326(f301(a917,f2(a917)),f510(x99773,x99772,x99771))),x99772)),x99773))+P105(f326(f326(f234(f925(x99771,a913)),f326(f326(f38(a917,f925(x99771,a913)),f241(f925(a917,a913))),x99772)),x99773))
% 225.13/225.10 [10023]~P105(f326(f326(f235(a1),f2(a1)),x100233))+P105(f326(f326(f235(a1),x100231),f326(f326(f79(a1),x100232),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x100232),x100231))),f77(a1))),x100233))))
% 225.13/225.10 [10037]~P37(x100371,f326(f326(f101(f925(f924(x100371,x100371),a913)),x100372),x100373))+P37(x100371,f326(f326(f101(f925(f924(x100371,x100371),a913)),f326(f326(f101(f925(f924(x100371,x100371),a913)),f326(f326(f288(x100371,x100371,x100371),x100372),x100372)),f326(f326(f288(x100371,x100371,x100371),x100373),x100372))),x100373))
% 225.13/225.10 [10114]P37(x101141,f326(f326(f101(f925(f924(x101141,x101141),a913)),x101142),x101143))+~P37(x101141,f326(f326(f101(f925(f924(x101141,x101141),a913)),f326(f326(f101(f925(f924(x101141,x101141),a913)),f326(f326(f288(x101141,x101141,x101141),x101142),x101142)),f326(f326(f288(x101141,x101141,x101141),x101143),x101142))),x101143))
% 225.13/225.10 [9689]~P141(x96891)+E(f326(f103(x96891),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x96892),x96893)),f188(f925(f924(a917,a917),a913)))))),f326(f326(f3(x96891),f326(f100(x96891),x96892)),f326(f100(x96891),x96893)))
% 225.13/225.10 [9771]P105(f326(x97713,x97712))+E(f326(f261(x97711),f326(f326(f20(x97711,a913,a913),f326(f326(f10(a913,f925(a913,a913),x97711),a324),f326(f326(f9(x97711,x97711,a913),a323),x97712))),x97713)),f188(f925(x97711,a913)))
% 225.13/225.10 [9773]~P105(f326(x97733,x97732))+E(f326(f261(x97731),f326(f326(f20(x97731,a913,a913),f326(f326(f10(a913,f925(a913,a913),x97731),a324),f326(f326(f9(x97731,x97731,a913),a323),x97732))),x97733)),f326(f326(f308(x97731),x97732),f188(f925(x97731,a913))))
% 225.13/225.10 [10003]E(x100031,x100032)+P105(f326(f326(f242(x100033,x100033,f326(f326(f10(f925(x100033,a913),f925(x100033,a913),x100033),f326(f10(a913,a913,x100033),a321)),a323)),x100031),x100032))
% 225.13/225.10 [10093]~E(x100931,x100932)+~P105(f326(f326(f242(x100933,x100933,f326(f326(f10(f925(x100933,a913),f925(x100933,a913),x100933),f326(f10(a913,a913,x100933),a321)),a323)),x100931),x100932))
% 225.13/225.10 [10106]~P105(f326(f60(x101061),x101063))+E(f326(f326(f63(x101061,f925(x101061,a913),f326(f326(f10(f925(x101061,a913),f925(f925(x101061,a913),f925(x101061,a913)),x101061),f326(f9(f925(x101061,a913),f925(x101061,a913),f925(x101061,a913)),f3(f925(x101061,a913)))),f326(f326(f9(x101061,f925(x101061,a913),f925(x101061,a913)),f308(x101061)),f188(f925(x101061,a913))))),x101062),x101063),f326(f326(f3(f925(x101061,a913)),x101062),x101063))
% 225.13/225.10 [10136]~P105(f326(f326(f235(a1),f2(a1)),x101363))+P105(f326(f326(f235(a1),f326(f326(f3(a1),x101361),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x101361),x101362))),f77(a1))),x101363))),x101362))
% 225.13/225.10 [10399]~P105(f326(f326(f328(x103991),x103993),f315(x103991,x103992)))+P105(f326(f314(x103991,f326(f326(f9(x103991,f925(f924(x103991,x103991),a913),f925(x103991,a913)),f326(f326(f10(f925(x103991,f925(f925(f924(x103991,x103991),a913),a913)),f925(f925(f924(x103991,x103991),a913),f925(x103991,a913)),x103991),f9(x103991,f925(f924(x103991,x103991),a913),a913)),f326(f326(f10(f925(x103991,f924(x103991,x103991)),f925(x103991,f925(f925(f924(x103991,x103991),a913),a913)),x103991),f326(f10(f924(x103991,x103991),f925(f925(f924(x103991,x103991),a913),a913),x103991),f328(f924(x103991,x103991)))),f251(x103991,x103991)))),x103992)),x103993))
% 225.13/225.10 [10413]P105(f326(f326(f328(x104131),x104132),f315(x104131,x104133)))+~P105(f326(f314(x104131,f326(f326(f9(x104131,f925(f924(x104131,x104131),a913),f925(x104131,a913)),f326(f326(f10(f925(x104131,f925(f925(f924(x104131,x104131),a913),a913)),f925(f925(f924(x104131,x104131),a913),f925(x104131,a913)),x104131),f9(x104131,f925(f924(x104131,x104131),a913),a913)),f326(f326(f10(f925(x104131,f924(x104131,x104131)),f925(x104131,f925(f925(f924(x104131,x104131),a913),a913)),x104131),f326(f10(f924(x104131,x104131),f925(f925(f924(x104131,x104131),a913),a913),x104131),f328(f924(x104131,x104131)))),f251(x104131,x104131)))),x104133)),x104132))
% 225.13/225.10 [9975]~P105(f326(f60(x99751),f326(f261(x99751),x99753)))+P105(f326(f60(x99751),f326(f261(x99751),f326(f326(f20(x99751,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99751),a324),x99752)),x99753))))
% 225.13/225.10 [9976]~P105(f326(f60(x99761),f326(f261(x99761),x99762)))+P105(f326(f60(x99761),f326(f261(x99761),f326(f326(f20(x99761,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99761),a324),x99762)),x99763))))
% 225.13/225.10 [10072]P105(f326(f60(x100721),f326(f261(x100721),x100722)))+~P105(f326(f60(x100721),f326(f261(x100721),f326(f326(f20(x100721,a913,a913),f326(f326(f10(a913,f925(a913,a913),x100721),a325),x100723)),x100722))))
% 225.13/225.10 [10073]P105(f326(f60(x100731),f326(f261(x100731),x100732)))+~P105(f326(f60(x100731),f326(f261(x100731),f326(f326(f20(x100731,a913,a913),f326(f326(f10(a913,f925(a913,a913),x100731),a325),x100732)),x100733))))
% 225.13/225.10 [10375]~P105(f326(f60(x103751),x103752))+P105(f326(f60(f918(x103751)),f326(f261(f918(x103751)),f326(f326(f20(f918(x103751),a913,a913),f326(f326(f10(a913,f925(a913,a913),f918(x103751)),a324),f326(f326(f9(f918(x103751),f925(x103751,a913),a913),f326(f326(f10(f925(x103751,a913),f925(f925(x103751,a913),a913),f918(x103751)),f234(f925(x103751,a913))),f172(x103751))),x103752))),f326(f326(f9(f918(x103751),a917,a913),f326(f326(f10(a917,f925(a917,a913),f918(x103751)),a323),f189(f918(x103751)))),x103753)))))
% 225.13/225.10 [10376]~P105(f326(f60(x103761),x103762))+P105(f326(f60(f918(x103761)),f326(f261(f918(x103761)),f326(f326(f20(f918(x103761),a913,a913),f326(f326(f10(a913,f925(a913,a913),f918(x103761)),a324),f326(f326(f9(f918(x103761),f925(x103761,a913),a913),f326(f326(f10(f925(x103761,a913),f925(f925(x103761,a913),a913),f918(x103761)),f234(f925(x103761,a913))),f172(x103761))),x103762))),f326(f326(f9(f918(x103761),a917,a913),f326(f326(f10(a917,f925(a917,a913),f918(x103761)),f234(a917)),f189(f918(x103761)))),x103763)))))
% 225.13/225.10 [10086]~P120(x100861)+E(f326(f326(f243(x100861),x100862),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100863)),f326(f326(f80(x100861),f326(f326(f243(x100861),x100862),x100863)),f326(f326(f243(x100861),x100862),x100863)))
% 225.13/225.10 [10117]~P79(x101171)+E(f326(f326(f243(x101171),f326(f326(f243(x101171),x101172),x101173)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x101171),x101172),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101173)))
% 225.13/225.10 [10174]~P141(x101741)+E(f326(f326(f243(x101741),f326(f78(x101741),x101742)),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101743)),f326(f326(f243(x101741),x101742),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101743)))
% 225.13/225.10 [10320]~P113(x103201)+P105(f326(f326(f234(x103201),f2(x103201)),f326(f326(f79(x103201),f326(f326(f243(x103201),x103202),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103201),x103203),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 225.13/225.10 [10184]~P120(x101841)+E(f326(f326(f243(x101841),x101842),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101843))),f326(f326(f80(x101841),x101842),f326(f326(f80(x101841),f326(f326(f243(x101841),x101842),x101843)),f326(f326(f243(x101841),x101842),x101843))))
% 225.13/225.10 [10234]~P79(x102341)+E(f326(f326(f80(x102341),x102342),f326(f326(f243(x102341),f326(f326(f243(x102341),x102342),x102343)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102341),x102342),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102343))))
% 225.13/225.10 [10275]~P113(x102751)+P105(f326(f326(f234(x102751),f2(x102751)),f326(f326(f243(x102751),x102752),f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102753))))
% 225.13/225.10 [10351]~P92(x103511)+E(f326(f326(f3(x103511),f326(f326(f79(x103511),f326(f326(f243(x103511),x103512),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103511),x103513),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103511),f326(f326(f80(x103511),f326(f104(x103511),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103512)),x103513)),f326(f326(f243(x103511),f326(f326(f3(x103511),x103512),x103513)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [10352]~P92(x103521)+E(f326(f326(f79(x103521),f326(f326(f79(x103521),f326(f326(f243(x103521),x103522),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103521),x103523),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103521),f326(f326(f80(x103521),f326(f104(x103521),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103522)),x103523)),f326(f326(f243(x103521),f326(f326(f79(x103521),x103522),x103523)),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [4861]E(x48611,x48612)+~E(f30(x48613,x48611),f30(x48614,x48612))
% 225.13/225.10 [4862]E(x48621,x48622)+~E(f30(x48621,x48623),f30(x48622,x48624))
% 225.13/225.10 [4863]E(x48631,x48632)+~E(f29(x48633,x48631),f29(x48634,x48632))
% 225.13/225.10 [4864]E(x48641,x48642)+~E(f29(x48641,x48643),f29(x48642,x48644))
% 225.13/225.10 [7983]P25(x79831,x79832,x79833,x79834)+~E(f472(x79834,x79833,x79832,x79831),f482(x79834,x79833,x79832,x79831))
% 225.13/225.10 [8274]P34(x82741,x82742,x82743,x82744,f113(x82742))+~E(x82744,f113(x82741))
% 225.13/225.10 [8275]P34(x82751,x82752,x82753,f113(x82751),x82754)+~E(x82754,f113(x82752))
% 225.13/225.10 [8811]~P34(x88112,x88113,x88114,x88111,f113(x88113))+E(x88111,f113(x88112))
% 225.13/225.10 [8812]~P34(x88123,x88122,x88124,f113(x88123),x88121)+E(x88121,f113(x88122))
% 225.13/225.10 [5248]~P17(x52483,x52481,x52484)+E(f326(f326(x52481,x52482),x52482),x52482)
% 225.13/225.10 [5499]P105(f326(x54992,x54994))+E(f326(f136(x54991,x54992),f169(x54991,x54993,x54994)),f113(x54991))
% 225.13/225.10 [5536]~E(x55364,f188(f925(x55361,a913)))+E(f326(f309(x55361,x55362,x55363),x55364),f188(f925(x55362,a913)))
% 225.13/225.10 [5780]~P105(f326(x57802,x57804))+E(f326(f136(x57801,x57802),f169(x57801,x57803,x57804)),f169(x57801,x57803,x57804))
% 225.13/225.10 [5810]~E(f326(f309(x58102,x58103,x58104),x58101),f188(f925(x58103,a913)))+E(x58101,f188(f925(x58102,a913)))
% 225.13/225.10 [5997]~P7(x59971,x59973)+E(f270(x59971,x59972,f269(x59971,x59973),x59974),x59974)
% 225.13/225.10 [6110]~P108(x61102)+E(f326(f326(f148(x61101,x61102,x61103),x61104),f113(x61101)),f326(f326(f151(x61101),x61104),f113(x61101)))
% 225.13/225.10 [6469]~E(x64691,f188(f925(x64692,a913)))+~P105(f326(f61(x64692,x64693,x64691),x64694))
% 225.13/225.10 [6491]~P58(x64911,x64913,x64914,x64912)+P105(f326(f60(x64911),x64912))
% 225.13/225.10 [6493]~P58(x64931,x64933,x64932,x64934)+P105(f326(f60(x64931),x64932))
% 225.13/225.10 [6501]~P58(x65012,x65013,x65014,x65011)+~E(x65011,f188(f925(x65012,a913)))
% 225.13/225.10 [6534]~P109(x65341)+E(f326(f326(f102(f925(x65341,a913)),f326(f301(x65341,x65342),x65343)),f302(x65341,x65343,x65344)),f188(f925(x65341,a913)))
% 225.13/225.10 [6561]~P105(f326(f326(x65613,x65614),x65612))+P105(f326(f326(f328(x65611),x65612),f293(x65611,x65613,x65614)))
% 225.13/225.10 [6562]~P105(f326(f326(x65623,x65624),x65622))+P105(f326(f326(f328(x65621),x65622),f294(x65621,x65623,x65624)))
% 225.13/225.10 [6563]~P105(f326(f326(x65633,x65632),x65634))+P105(f326(f326(f328(x65631),x65632),f295(x65631,x65633,x65634)))
% 225.13/225.10 [6564]~P105(f326(f326(x65643,x65642),x65644))+P105(f326(f326(f328(x65641),x65642),f297(x65641,x65643,x65644)))
% 225.13/225.10 [6704]~P109(x67041)+E(f326(f326(f102(f925(x67041,a913)),f305(x67041,x67042,x67043)),f302(x67041,x67043,x67044)),f188(f925(x67041,a913)))
% 225.13/225.10 [6705]~P109(x67051)+E(f326(f326(f102(f925(x67051,a913)),f302(x67051,x67052,x67053)),f305(x67051,x67053,x67054)),f188(f925(x67051,a913)))
% 225.13/225.10 [6706]~P109(x67061)+E(f326(f326(f102(f925(x67061,a913)),f302(x67061,x67062,x67063)),f304(x67061,x67063,x67064)),f188(f925(x67061,a913)))
% 225.13/225.10 [6707]~P109(x67071)+E(f326(f326(f102(f925(x67071,a913)),f304(x67071,x67072,x67073)),f305(x67071,x67073,x67074)),f188(f925(x67071,a913)))
% 225.13/225.10 [6708]~P109(x67081)+E(f326(f326(f102(f925(x67081,a913)),f304(x67081,x67082,x67083)),f304(x67081,x67083,x67084)),f188(f925(x67081,a913)))
% 225.13/225.10 [6746]P105(f326(f326(x67461,x67462),f567(x67462,x67461)))+~P105(f326(f248(x67463,x67464,x67461),x67462))
% 225.13/225.10 [6827]~P108(x68272)+E(f326(f172(x68271),f150(x68271,x68272,x68273,x68274)),f326(f172(x68271),x68274))
% 225.13/225.10 [6877]~P145(x68771)+E(f190(x68771,x68772,f326(a112,x68773),x68774),f190(x68771,x68772,x68773,f326(x68772,x68774)))
% 225.13/225.10 [6940]~P105(f326(f326(f328(x69404),x69403),f293(x69404,x69401,x69402)))+P105(f326(f326(x69401,x69402),x69403))
% 225.13/225.10 [6941]~P105(f326(f326(f328(x69414),x69413),f294(x69414,x69411,x69412)))+P105(f326(f326(x69411,x69412),x69413))
% 225.13/225.10 [6942]~P105(f326(f326(f328(x69424),x69422),f295(x69424,x69421,x69423)))+P105(f326(f326(x69421,x69422),x69423))
% 225.13/225.10 [6943]~P105(f326(f326(f328(x69434),x69432),f297(x69434,x69431,x69433)))+P105(f326(f326(x69431,x69432),x69433))
% 225.13/225.10 [7018]E(f326(f34(f923(x70181,x70182)),f312(x70181,x70182,x70183,x70184)),f2(a917))+P105(f326(f60(x70182),x70184))
% 225.13/225.10 [7019]E(f326(f34(f923(x70191,x70192)),f312(x70191,x70192,x70193,x70194)),f2(a917))+P105(f326(f60(x70191),x70193))
% 225.13/225.10 [7220]~P14(x72204,x72201,x72202)+E(f326(f72(x72201,x72201,x72201,f326(x72202,x72203)),f326(x72202,x72203)),f326(x72202,x72203))
% 225.13/225.10 [7464]E(f276(x74641,x74642,x74643,x74644),f326(f251(f925(a99,f925(a913,f921(f919(x74641)))),f924(a99,a99)),f40(x74641)))+~P105(f326(f326(f234(a99),x74643),f2(a99)))
% 225.13/225.10 [8105]~E(x81052,x81053)+P105(f326(f326(f328(f924(x81051,x81051)),f326(f326(f251(x81051,x81051),x81052),x81053)),f306(x81051,x81054)))
% 225.13/225.10 [8134]~P25(x81341,x81342,x81343,f241(f925(x81341,a913)))+E(f326(f76(x81341,x81342,f241(f925(x81341,a913)),x81343),f326(x81343,x81344)),x81344)
% 225.13/225.10 [8135]~P25(x81351,x81352,x81353,f241(f925(x81351,a913)))+E(f326(f90(x81351,x81352,f241(f925(x81351,a913)),x81353),f326(x81353,x81354)),x81354)
% 225.13/225.10 [8223]~P105(f326(f326(f328(f918(x82231)),f326(f326(f151(x82231),x82234),x82232)),f161(x82231,x82233)))+P105(f326(f326(f328(f918(x82231)),x82232),f161(x82231,x82233)))
% 225.13/225.10 [8224]~P105(f326(f326(f328(f918(x82241)),f326(f326(f134(x82241),x82244),x82242)),f161(x82241,x82243)))+P105(f326(f326(f328(f918(x82241)),x82242),f161(x82241,x82243)))
% 225.13/225.10 [8225]~P105(f326(f326(f328(f918(x82251)),f326(f326(f134(x82251),x82252),x82254)),f161(x82251,x82253)))+P105(f326(f326(f328(f918(x82251)),x82252),f161(x82251,x82253)))
% 225.13/225.10 [8236]~P108(x82361)+P13(x82361,f326(f326(f154(x82362,x82361),x82363),f150(x82362,x82361,x82363,x82364)))
% 225.13/225.10 [8340]P25(x83404,x83403,x83401,x83402)+E(f326(x83401,f472(x83402,x83401,x83403,x83404)),f326(x83401,f482(x83402,x83401,x83403,x83404)))
% 225.13/225.10 [8446]~P25(x84462,x84461,x84464,x84463)+P25(x84461,x84462,f76(x84462,x84461,x84463,x84464),f326(f309(x84462,x84461,x84464),x84463))
% 225.13/225.10 [8585]P37(f924(x85852,x85854),f279(x85852,x85854,x85851,x85853))+P105(f326(x85851,f572(x85852,x85853,x85854,x85851)))
% 225.13/225.10 [8699]E(x86991,x86992)+~P105(f326(f326(f328(f924(x86993,x86993)),f326(f326(f251(x86993,x86993),x86991),x86992)),f262(x86993,x86994)))
% 225.13/225.10 [8763]~P105(f326(f60(f923(x87633,x87631)),f312(x87633,x87631,x87634,x87632)))+P105(f326(f60(x87631),x87632))
% 225.13/225.10 [8764]~P105(f326(f60(f923(x87641,x87643)),f312(x87641,x87643,x87642,x87644)))+P105(f326(f60(x87641),x87642))
% 225.13/225.10 [8773]~P25(x87731,x87732,x87733,x87734)+P26(x87731,x87732,x87733,x87734,f326(f309(x87731,x87732,x87733),x87734))
% 225.13/225.10 [8774]P11(x87741,x87742,x87743,x87744)+~E(f326(x87744,f853(x87742,x87744,x87743,x87741)),f326(x87744,f854(x87742,x87744,x87743,x87741)))
% 225.13/225.10 [8864]~P26(x88642,x88643,x88644,x88641,f188(f925(x88643,a913)))+E(x88641,f188(f925(x88642,a913)))
% 225.13/225.10 [8865]~P26(x88653,x88652,x88654,f188(f925(x88653,a913)),x88651)+E(x88651,f188(f925(x88652,a913)))
% 225.13/225.10 [8957]P37(f924(x89571,x89572),f279(x89571,x89572,x89573,x89574))+~P37(x89572,f326(x89574,f572(x89571,x89574,x89572,x89573)))
% 225.13/225.10 [9520]E(f326(f326(f159(x95201,x95202),f670(x95203,x95204,x95202,x95201)),f671(x95203,x95204,x95202,x95201)),x95204)+~P105(f326(f326(f328(f924(f918(x95201),f918(x95201))),f326(f326(f251(f918(x95201),f918(x95201)),x95202),x95204)),f157(x95201,x95203)))
% 225.13/225.10 [9525]~P105(f326(f326(f328(f924(f918(x95251),f918(x95251))),f326(f326(f251(f918(x95251),f918(x95251)),x95252),x95253)),f145(x95251,x95254)))+P105(f326(f326(f328(f924(f918(x95251),f918(x95251))),f326(f326(f251(f918(x95251),f918(x95251)),x95252),x95253)),f147(x95251,x95254)))
% 225.13/225.10 [9637]P105(f326(f60(x96371),x96372))+~P105(f326(f326(f328(f924(f925(x96371,a913),f925(x96371,a913))),f326(f326(f251(f925(x96371,a913),f925(x96371,a913)),x96373),x96372)),f317(x96371,x96374)))
% 225.13/225.10 [9638]P105(f326(f60(x96381),x96382))+~P105(f326(f326(f328(f924(f925(x96381,a913),f925(x96381,a913))),f326(f326(f251(f925(x96381,a913),f925(x96381,a913)),x96382),x96383)),f317(x96381,x96384)))
% 225.13/225.10 [9641]~E(x96411,f188(f925(x96412,a913)))+~P105(f326(f326(f328(f924(f925(x96412,a913),f925(x96412,a913))),f326(f326(f251(f925(x96412,a913),f925(x96412,a913)),x96413),x96411)),f317(x96412,x96414)))
% 225.13/225.10 [10286]P11(x102861,x102862,x102863,x102864)+~P105(f326(f326(f256(x102861,x102861,a913),f326(f326(f9(x102861,f925(x102861,x102862),f925(x102861,a913)),f326(f326(f10(f925(x102862,a913),f925(f925(x102861,x102862),f925(x102861,a913)),x102861),f10(x102862,a913,x102861)),f326(f326(f10(x102862,f925(x102862,a913),x102861),a323),x102864))),x102864)),f579(x102864,x102863,x102862,x102861)))
% 225.13/225.10 [5147]~E(x51472,f113(x51471))+E(f326(f326(f159(x51471,x51472),x51473),x51474),f113(x51471))
% 225.13/225.10 [5148]~E(x51484,f113(x51481))+E(f326(f326(f154(x51481,x51482),x51483),x51484),f113(x51482))
% 225.13/225.10 [5380]E(x53801,f113(x53802))+~E(f326(f326(f154(x53802,x53803),x53804),x53801),f113(x53803))
% 225.13/225.10 [5381]E(x53811,f113(x53812))+~E(f326(f326(f159(x53812,x53811),x53813),x53814),f113(x53812))
% 225.13/225.10 [5418]E(x54181,x54182)+~E(f326(f326(f134(x54183),x54184),x54181),f326(f326(f134(x54183),x54184),x54182))
% 225.13/225.10 [5419]E(x54191,x54192)+~E(f326(f326(f134(x54193),x54191),x54194),f326(f326(f134(x54193),x54192),x54194))
% 225.13/225.10 [5573]P105(f326(x55733,x55732))+E(f170(x55731,x55732,f326(f136(x55731,x55733),x55734)),f326(f136(x55731,x55733),x55734))
% 225.13/225.10 [5575]~P105(f326(x55752,x55753))+P33(x55751,x55752,f326(f326(f151(x55751),x55753),x55754))
% 225.13/225.10 [5584]E(x55841,x55842)+~E(f139(a917,f326(f301(a917,x55841),x55843)),f326(f326(f151(a917),x55842),x55844))
% 225.13/225.10 [5632]~P27(x56322,x56323)+P27(x56321,f326(f326(f73(x56322,x56321),x56323),x56324))
% 225.13/225.10 [5633]~P37(x56332,x56333)+P37(x56331,f326(f326(f287(x56332,x56331),x56333),x56334))
% 225.13/225.10 [5634]~P38(x56342,x56343)+P38(x56341,f326(f326(f287(x56342,x56341),x56343),x56344))
% 225.13/225.10 [5635]~P51(x56352,x56353)+P51(x56351,f326(f326(f287(x56352,x56351),x56353),x56354))
% 225.13/225.10 [5764]~P33(x57641,x57642,x57644)+P33(x57641,x57642,f326(f326(f151(x57641),x57643),x57644))
% 225.13/225.10 [5765]~P33(x57651,x57652,x57654)+P33(x57651,x57652,f326(f326(f134(x57651),x57653),x57654))
% 225.13/225.10 [5766]~P33(x57661,x57662,x57663)+P33(x57661,x57662,f326(f326(f134(x57661),x57663),x57664))
% 225.13/225.10 [5853]~E(x58531,f113(x58532))+~E(f326(f326(f134(x58532),x58533),f326(f326(f151(x58532),x58534),f113(x58532))),x58531)
% 225.13/225.10 [5878]~P31(x58783,x58781,f326(f326(f151(x58783),x58782),x58784))+P105(f326(x58781,x58782))
% 225.13/225.10 [5888]E(f114(x58881,x58882),x58883)+~E(f326(f326(f134(x58881),x58883),f326(f326(f151(x58881),x58884),f113(x58881))),x58882)
% 225.13/225.10 [5889]E(f144(x58891,x58892),x58893)+~E(f326(f326(f134(x58891),x58894),f326(f326(f151(x58891),x58893),f113(x58891))),x58892)
% 225.13/225.10 [5999]~E(f139(a917,f326(f301(a917,x59991),x59992)),f326(f326(f151(a917),x59993),x59994))+P105(f326(f326(f235(a917),x59991),x59992))
% 225.13/225.10 [6014]P31(x60141,x60142,x60143)+~P31(x60141,x60142,f326(f326(f151(x60141),x60144),x60143))
% 225.13/225.10 [6015]P31(x60151,x60152,x60153)+~P31(x60151,x60152,f326(f326(f134(x60151),x60154),x60153))
% 225.13/225.10 [6016]P31(x60161,x60162,x60163)+~P31(x60161,x60162,f326(f326(f134(x60161),x60163),x60164))
% 225.13/225.10 [6214]E(x62141,f326(f326(f134(x62142),f326(f168(x62142),x62143)),f326(f326(f151(x62142),x62144),f113(x62142))))+~E(f326(f168(x62142),x62141),f326(f326(f151(x62142),x62144),x62143))
% 225.13/225.10 [6390]~P109(x63901)+E(f326(f326(f102(f925(x63901,a913)),f326(f301(x63901,x63902),x63903)),f326(f301(x63901,x63903),x63904)),f188(f925(x63901,a913)))
% 225.13/225.10 [6401]E(f326(f326(f164(x64011),f169(x64011,x64012,x64013)),x64014),x64013)+~P105(f326(f326(f235(a917),x64014),x64012))
% 225.13/225.10 [6428]~P70(x64281)+E(f326(f165(x64281),f326(f326(f154(a1,x64281),x64282),f178(x64283,x64284))),f326(f326(f8(a1,x64281),x64282),f326(f172(a1),f178(x64283,x64284))))
% 225.13/225.10 [6429]~P70(x64291)+E(f326(f326(f8(a1,x64291),x64292),f326(f172(a1),f178(x64293,x64294))),f326(f165(x64291),f326(f326(f154(a1,x64291),x64292),f178(x64293,x64294))))
% 225.13/225.10 [6574]~E(x65742,f326(f326(f134(x65741),f326(f168(x65741),x65744)),f326(f326(f151(x65741),x65743),f113(x65741))))+E(f326(f168(x65741),x65742),f326(f326(f151(x65741),x65743),x65744))
% 225.13/225.10 [6590]~P19(x65902,x65903,x65904,x65901)+E(f326(x65901,f188(f925(x65902,a913))),f31(x65903))
% 225.13/225.10 [6615]~P109(x66151)+E(f326(f326(f102(f925(x66151,a913)),f305(x66151,x66152,x66153)),f326(f301(x66151,x66153),x66154)),f188(f925(x66151,a913)))
% 225.13/225.10 [6828]E(x68281,f188(f925(x68282,a913)))+~E(f312(x68283,x68282,x68284,x68281),f188(f925(f923(x68283,x68282),a913)))
% 225.13/225.10 [6829]E(x68291,f188(f925(x68292,a913)))+~E(f312(x68292,x68293,x68291,x68294),f188(f925(f923(x68292,x68293),a913)))
% 225.13/225.10 [6899]~P108(x68992)+E(f326(f189(f918(x68991)),f150(x68991,x68992,x68993,x68994)),f326(f189(f918(x68991)),x68994))
% 225.13/225.10 [6910]~P105(f326(f249(x69103,x69104,x69101),x69102))+P105(f326(f326(x69101,f556(x69102,x69101)),x69102))
% 225.13/225.10 [6952]~P105(f326(f60(x69522),x69524))+P105(f326(f60(x69521),f326(f309(x69522,x69521,x69523),x69524)))
% 225.13/225.10 [7182]~P25(x71822,x71821,x71823,x71824)+E(f326(f34(x71821),f326(f309(x71822,x71821,x71823),x71824)),f326(f34(x71822),x71824))
% 225.13/225.10 [7200]E(f326(f309(x72001,x72002,x72003),f326(f310(x72001,x72002,x72003),x72004)),x72004)+~E(f326(f309(x72001,x72002,x72003),f241(f925(x72001,a913))),f241(f925(x72002,a913)))
% 225.13/225.10 [7619]~P25(x76191,x76192,x76193,f241(f925(x76191,a913)))+E(f326(f310(x76191,x76192,x76193),f326(f309(x76191,x76192,x76193),x76194)),x76194)
% 225.13/225.10 [7901]E(x79011,x79012)+~P105(f326(f326(f328(x79013),x79011),f326(f172(x79013),f169(x79013,x79014,x79012))))
% 225.13/225.10 [7910]~E(x79101,f2(a917))+~P105(f326(f326(f328(x79102),x79103),f326(f172(x79102),f169(x79102,x79101,x79104))))
% 225.13/225.10 [7943]P105(f326(x79431,x79432))+~P105(f326(f326(f328(x79433),x79432),f326(f172(x79433),f177(x79433,x79431,x79434))))
% 225.13/225.10 [8051]~P105(f326(f326(f328(f918(x80511)),f326(f326(f151(x80511),x80512),x80514)),f161(x80511,x80513)))+P105(f326(f326(f328(x80511),x80512),x80513))
% 225.13/225.10 [8180]~P105(f326(f326(f328(x81801),x81802),f326(f172(x81801),f176(x81801,x81803,x81804))))+P105(f326(f326(f328(x81801),x81802),f326(f172(x81801),x81803)))
% 225.13/225.10 [8181]~P105(f326(f326(f328(x81811),x81812),f326(f172(x81811),f170(x81811,x81814,x81813))))+P105(f326(f326(f328(x81811),x81812),f326(f172(x81811),x81813)))
% 225.13/225.10 [8182]~P105(f326(f326(f328(x81821),x81822),f326(f172(x81821),f177(x81821,x81824,x81823))))+P105(f326(f326(f328(x81821),x81822),f326(f172(x81821),x81823)))
% 225.13/225.10 [8192]E(f326(f189(f918(x81921)),x81922),x81923)+~P105(f326(f326(f328(f918(x81921)),x81922),f326(f172(f918(x81921)),f54(x81921,x81923,x81924))))
% 225.13/225.10 [8287]P105(f326(x82873,x82872))+E(f326(f136(x82871,f326(f326(f10(a913,a913,x82871),a321),f326(a323,x82872))),f326(f136(x82871,x82873),x82874)),f326(f136(x82871,x82873),x82874))
% 225.13/225.10 [8398]E(f326(f326(f164(x83981),f177(x83981,x83982,x83983)),x83984),f326(f326(f164(x83981),x83983),x83984))+~P105(f326(f326(f235(a917),x83984),f326(f189(f918(x83981)),f177(x83981,x83982,x83983))))
% 225.13/225.10 [8484]~P70(x84841)+E(f326(f326(f8(a917,x84841),f326(f326(f10(a917,x84841,a917),x84842),a112)),f326(f301(a917,x84843),x84844)),f326(f326(f8(a917,x84841),x84842),f326(f301(a917,f326(a112,x84843)),f326(a112,x84844))))
% 225.13/225.10 [8493]~P70(x84931)+E(f326(f326(f8(a917,x84931),f326(f326(f10(a917,x84931,a917),x84932),a112)),f302(a917,x84933,x84934)),f326(f326(f8(a917,x84931),x84932),f302(a917,f326(a112,x84933),f326(a112,x84934))))
% 225.13/225.10 [8620]~P25(x86201,x86203,x86204,f241(f925(x86201,a913)))+P25(x86201,f925(x86202,x86203),f326(f326(f10(x86203,f925(x86202,x86203),x86201),f18(x86203,x86202)),x86204),f241(f925(x86201,a913)))
% 225.13/225.10 [8705]~P25(x87052,x87051,x87054,x87053)+E(f326(f309(x87051,x87052,f76(x87052,x87051,x87053,x87054)),f326(f309(x87052,x87051,x87054),x87053)),x87053)
% 225.13/225.10 [8765]~P105(f326(f326(f328(f924(x87651,x87651)),f326(f326(f251(x87651,x87651),x87652),x87654)),f262(x87651,x87653)))+P105(f326(f326(f328(x87651),x87652),x87653))
% 225.13/225.10 [8888]~P25(x88882,x88881,x88883,f241(f925(x88882,a913)))+E(f326(f309(x88881,x88882,f90(x88882,x88881,f241(f925(x88882,a913)),x88883)),f326(f309(x88882,x88881,x88883),x88884)),x88884)
% 225.13/225.10 [8963]~P26(x89631,x89632,x89633,x89634,f241(f925(x89632,a913)))+E(f326(f309(x89631,x89632,x89633),f241(f925(x89631,a913))),f241(f925(x89632,a913)))
% 225.13/225.10 [8996]~E(f326(f326(f8(x89961,a917),x89964),x89963),f326(a112,x89962))+P105(f326(f326(f328(x89961),f886(x89962,x89963,x89964,x89961)),x89963))
% 225.13/225.10 [9017]~E(f326(f326(f8(x90174,a917),x90171),x90173),f326(a112,x90172))+P105(f326(f326(f235(a917),f2(a917)),f326(x90171,f886(x90172,x90173,x90171,x90174))))
% 225.13/225.10 [9028]~P105(f326(f60(x90282),x90284))+P105(f326(f326(f234(a917),f326(f34(x90281),f326(f309(x90282,x90281,x90283),x90284))),f326(f34(x90282),x90284)))
% 225.13/225.10 [9029]E(f326(f326(f251(x90291,x90292),f645(x90293,x90294,x90292,x90291)),f646(x90293,x90294,x90292,x90291)),x90294)+~P105(f326(f326(f328(f924(x90291,x90292)),x90294),f326(f285(x90292,x90291),x90293)))
% 225.13/225.10 [9037]P25(x90371,x90372,x90373,x90374)+P105(f326(f326(f328(x90371),f472(x90374,x90373,x90372,x90371)),x90374))
% 225.13/225.10 [9038]P25(x90381,x90382,x90383,x90384)+P105(f326(f326(f328(x90381),f482(x90384,x90383,x90382,x90381)),x90384))
% 225.13/225.10 [9106]P11(x91061,x91062,x91063,x91064)+P105(f326(f326(f328(f924(x91061,x91061)),f579(x91064,x91063,x91062,x91061)),x91063))
% 225.13/225.10 [9160]P105(f326(x91601,x91602))+~P105(f326(x91601,f326(f326(f251(x91603,x91604),f421(x91604,x91603,x91601)),f423(x91604,x91603,x91601))))
% 225.13/225.10 [9177]E(f326(f189(f918(x91771)),x91772),f326(f189(f918(x91771)),x91773))+~P105(f326(f326(f328(f924(f918(x91771),f918(x91771))),f326(f326(f251(f918(x91771),f918(x91771)),x91772),x91773)),f145(x91771,x91774)))
% 225.13/225.10 [9178]E(f326(f189(f918(x91781)),x91782),f326(f189(f918(x91781)),x91783))+~P105(f326(f326(f328(f924(f918(x91781),f918(x91781))),f326(f326(f251(f918(x91781),f918(x91781)),x91782),x91783)),f157(x91781,x91784)))
% 225.13/225.10 [9181]E(f326(f189(f918(x91811)),x91812),f326(f189(f918(x91811)),x91813))+~P105(f326(f326(f328(f924(f918(x91811),f918(x91811))),f326(f326(f251(f918(x91811),f918(x91811)),x91812),x91813)),f158(x91811,x91814)))
% 225.13/225.10 [9250]P105(f326(f326(f234(a917),f155(x92501,x92502,x92503)),f155(x92501,x92504,x92503)))+P105(f326(f326(f328(x92501),f669(x92504,x92502,x92503,x92501)),f326(f172(x92501),x92503)))
% 225.13/225.10 [9253]E(f326(f189(f918(x92531)),x92532),f326(f189(f918(x92531)),x92533))+~P105(f326(f326(f328(f924(f918(x92531),f918(x92531))),f326(f326(f251(f918(x92531),f918(x92531)),x92532),x92533)),f306(f918(x92531),f157(x92531,x92534))))
% 225.13/225.10 [9491]~P25(x94911,x94912,x94913,x94914)+~P105(f326(f326(f235(a917),f326(f34(x94912),f326(f309(x94911,x94912,x94913),x94914))),f326(f34(x94911),x94914)))
% 225.13/225.10 [9538]~P105(f326(f326(f328(f924(f918(x95381),f918(x95381))),f326(f326(f251(f918(x95381),f918(x95381)),x95382),x95383)),f157(x95381,x95384)))+P105(f326(f326(f328(f924(f918(x95381),f918(x95381))),f326(f326(f251(f918(x95381),f918(x95381)),x95382),x95383)),f158(x95381,f306(x95381,x95384))))
% 225.13/225.10 [9542]~P105(f326(f326(f328(f924(f918(x95421),f918(x95421))),f326(f326(f251(f918(x95421),f918(x95421)),x95422),x95423)),f158(x95421,x95424)))+P105(f326(f326(f328(f924(f918(x95421),f918(x95421))),f326(f326(f251(f918(x95421),f918(x95421)),x95422),x95423)),f306(f918(x95421),f157(x95421,x95424))))
% 225.13/225.10 [9558]P105(f326(f326(f328(f924(x95581,x95581)),f326(f326(f251(x95581,x95581),x95582),x95583)),f306(x95581,x95584)))+~P105(f326(f326(f328(f924(x95581,x95581)),f326(f326(f251(x95581,x95581),x95582),x95583)),f326(f326(f288(x95581,x95581,x95581),x95584),f306(x95581,x95584))))
% 225.13/225.10 [9632]P105(f326(f326(f286(a917),x96321),x96322))+~P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x96323,x96324)),f289(a917,f286(a917),x96321,x96322)))
% 225.13/225.10 [9752]E(f326(f326(f134(x97521),f683(x97522,x97523,x97524,x97521)),f326(f326(f151(x97521),f684(x97522,x97523,x97524,x97521)),f686(x97522,x97523,x97524,x97521))),x97524)+~P105(f326(f326(f328(f924(f918(x97521),f918(x97521))),f326(f326(f251(f918(x97521),f918(x97521)),x97524),x97523)),f157(x97521,x97522)))
% 225.13/225.10 [9753]E(f326(f326(f134(x97531),f683(x97532,x97533,x97534,x97531)),f326(f326(f151(x97531),f685(x97532,x97533,x97534,x97531)),f686(x97532,x97533,x97534,x97531))),x97533)+~P105(f326(f326(f328(f924(f918(x97531),f918(x97531))),f326(f326(f251(f918(x97531),f918(x97531)),x97534),x97533)),f157(x97531,x97532)))
% 225.13/225.10 [9831]P105(f326(f326(f328(f924(x98311,x98311)),f326(f326(f251(x98311,x98311),x98312),f636(x98313,x98314,x98312,x98311))),f306(x98311,x98313)))+~P105(f326(f326(f328(f924(x98311,x98311)),f326(f326(f251(x98311,x98311),x98312),x98314)),f326(f326(f288(x98311,x98311,x98311),x98313),f306(x98311,x98313))))
% 225.13/225.10 [9900]P105(f326(f326(f234(a917),f155(x99001,x99002,x99003)),f155(x99001,x99004,x99003)))+~P105(f326(f326(f235(a917),f326(x99002,f669(x99004,x99002,x99003,x99001))),f326(x99004,f669(x99004,x99002,x99003,x99001))))
% 225.13/225.10 [9971]P105(f326(f326(f328(f924(x99711,x99711)),f326(f326(f251(x99711,x99711),f635(x99712,x99713,x99714,x99711)),x99713)),f306(x99711,x99712)))+~P105(f326(f326(f328(f924(x99711,x99711)),f326(f326(f251(x99711,x99711),x99714),x99713)),f326(f326(f288(x99711,x99711,x99711),x99712),f306(x99711,x99712))))
% 225.13/225.10 [5400]~E(x54002,x54003)+E(f170(x54001,x54002,f326(f326(f151(x54001),x54003),x54004)),x54004)
% 225.13/225.10 [5529]P105(f326(x55292,x55293))+E(f177(x55291,x55292,f326(f326(f151(x55291),x55293),x55294)),f113(x55291))
% 225.13/225.10 [5596]~P87(x55962)+E(f326(f326(f78(f925(x55961,x55962)),x55963),x55964),f326(f78(x55962),f326(x55963,x55964)))
% 225.13/225.10 [5609]~E(x56092,f2(a917))+E(f326(f326(f138(x56091),x56092),f326(f326(f151(x56091),x56093),x56094)),f326(f326(f151(x56091),x56093),x56094))
% 225.13/225.10 [5610]P105(f326(x56102,x56103))+E(f326(f136(x56101,x56102),f326(f326(f151(x56101),x56103),x56104)),f326(f136(x56101,x56102),x56104))
% 225.13/225.10 [5747]~E(x57472,x57474)+P105(f326(f326(f326(f308(x57471),x57472),x57473),x57474))
% 225.13/225.10 [5755]E(x57551,f113(x57552))+E(f144(x57553,f326(f326(f154(x57552,x57553),x57554),x57551)),f326(x57554,f144(x57552,x57551)))
% 225.13/225.10 [5769]~E(x57691,f62(x57692,x57694))+E(f326(x57691,f326(f326(f308(x57692),x57693),f188(f925(x57692,a913)))),x57693)
% 225.13/225.10 [5805]E(x58051,f113(x58052))+E(f326(f141(x58053),f326(f326(f154(x58052,x58053),x58054),x58051)),f326(x58054,f326(f141(x58052),x58051)))
% 225.13/225.10 [5908]~P105(f326(x59083,x59084))+P105(f326(f326(f326(f308(x59081),x59082),x59083),x59084))
% 225.13/225.10 [6033]~P18(x60332,x60334,x60331)+E(f326(x60331,f326(f326(f308(x60332),x60333),f188(f925(x60332,a913)))),x60333)
% 225.13/225.10 [6059]~E(x60592,x60593)+P105(f326(f326(f328(x60591),x60592),f326(f326(f308(x60591),x60593),x60594)))
% 225.13/225.10 [6064]~P120(x60641)+E(f326(f326(f80(x60641),x60642),f326(f326(f80(x60641),x60643),x60644)),f326(f326(f80(x60641),x60643),f326(f326(f80(x60641),x60642),x60644)))
% 225.13/225.10 [6065]~P120(x60651)+E(f326(f326(f79(x60651),x60652),f326(f326(f79(x60651),x60653),x60654)),f326(f326(f79(x60651),x60653),f326(f326(f79(x60651),x60652),x60654)))
% 225.13/225.10 [6067]~P108(x60671)+E(f326(f326(f238(x60671),x60672),f326(f326(f238(x60671),x60673),x60674)),f326(f326(f238(x60671),x60673),f326(f326(f238(x60671),x60672),x60674)))
% 225.13/225.10 [6069]~P108(x60691)+E(f326(f326(f233(x60691),x60692),f326(f326(f233(x60691),x60693),x60694)),f326(f326(f233(x60691),x60693),f326(f326(f233(x60691),x60692),x60694)))
% 225.13/225.10 [6071]~P98(x60711)+E(f326(f326(f101(x60711),x60712),f326(f326(f101(x60711),x60713),x60714)),f326(f326(f101(x60711),x60713),f326(f326(f101(x60711),x60712),x60714)))
% 225.13/225.10 [6072]~P99(x60721)+E(f326(f326(f101(x60721),x60722),f326(f326(f101(x60721),x60723),x60724)),f326(f326(f101(x60721),x60723),f326(f326(f101(x60721),x60722),x60724)))
% 225.13/225.10 [6073]~P99(x60731)+E(f326(f326(f102(x60731),x60732),f326(f326(f102(x60731),x60733),x60734)),f326(f326(f102(x60731),x60733),f326(f326(f102(x60731),x60732),x60734)))
% 225.13/225.10 [6075]~P102(x60751)+E(f326(f326(f102(x60751),x60752),f326(f326(f102(x60751),x60753),x60754)),f326(f326(f102(x60751),x60753),f326(f326(f102(x60751),x60752),x60754)))
% 225.13/225.10 [6082]E(x60821,x60822)+E(f170(x60823,x60821,f326(f326(f151(x60823),x60822),x60824)),f326(f326(f151(x60823),x60822),f170(x60823,x60821,x60824)))
% 225.13/225.10 [6097]~P105(f326(x60972,x60973))+E(f326(f136(x60971,x60972),f326(f326(f151(x60971),x60973),x60974)),f326(f326(f151(x60971),x60973),f326(f136(x60971,x60972),x60974)))
% 225.13/225.10 [6235]~P105(f326(x62352,x62353))+E(f177(x62351,x62352,f326(f326(f151(x62351),x62353),x62354)),f326(f326(f151(x62351),x62353),f177(x62351,x62352,x62354)))
% 225.13/225.10 [6299]E(x62991,f188(f925(x62992,a913)))+E(f326(f326(f38(x62992,f925(x62993,a913)),x62991),f326(f18(f925(x62993,a913),x62992),x62994)),x62994)
% 225.13/225.10 [6300]E(x63001,f188(f925(x63002,a913)))+E(f326(f326(f39(x63002,f925(x63003,a913)),x63001),f326(f18(f925(x63003,a913),x63002),x63004)),x63004)
% 225.13/225.10 [6309]~E(x63094,f188(f925(x63092,a913)))+E(f326(f326(f253(x63091,x63092),x63093),f326(f18(f925(x63092,a913),x63091),x63094)),f188(f925(f924(x63091,x63092),a913)))
% 225.13/225.10 [6310]~E(x63103,f188(f925(x63101,a913)))+E(f326(f326(f253(x63101,x63102),x63103),f326(f18(f925(x63102,a913),x63101),x63104)),f188(f925(f924(x63101,x63102),a913)))
% 225.13/225.10 [6362]E(x63621,f2(a917))+E(f326(f326(f138(x63622),x63621),f326(f326(f151(x63622),x63623),x63624)),f326(f326(f138(x63622),f326(f326(f3(a917),x63621),f77(a917))),x63624))
% 225.13/225.10 [6383]E(x63831,f188(f925(x63832,a913)))+E(f326(f309(x63832,x63833,f326(f18(x63833,x63832),x63834)),x63831),f326(f326(f308(x63833),x63834),f188(f925(x63833,a913))))
% 225.13/225.10 [6386]E(f326(f310(x63861,x63862,f326(f18(x63862,x63861),x63863)),x63864),f188(f925(x63861,a913)))+P105(f326(f326(f328(x63862),x63863),x63864))
% 225.13/225.10 [6453]~E(x64533,f188(f925(x64531,a913)))+E(f326(f326(f38(x64531,f925(x64532,a913)),x64533),f326(f18(f925(x64532,a913),x64531),x64534)),f188(f925(x64532,a913)))
% 225.13/225.10 [6454]~E(x64543,f188(f925(x64541,a913)))+E(f326(f326(f39(x64541,f925(x64542,a913)),x64543),f326(f18(f925(x64542,a913),x64541),x64544)),f241(f925(x64542,a913)))
% 225.13/225.10 [6456]~P3(x64561)+E(f44(x64561,f326(f326(f80(x64561),x64562),x64563),f326(f326(f80(x64561),x64562),x64564)),f326(f326(f80(x64561),x64562),f44(x64561,x64563,x64564)))
% 225.13/225.10 [6625]E(f326(f310(x66251,x66252,f326(f18(x66252,x66251),x66253)),x66254),f241(f925(x66251,a913)))+~P105(f326(f326(f328(x66252),x66253),x66254))
% 225.13/225.10 [6648]~P105(f326(f326(f328(x66481),x66482),x66484))+P105(f326(f326(f328(x66481),x66482),f326(f326(f308(x66481),x66483),x66484)))
% 225.13/225.10 [6653]P105(f326(x66531,x66532))+~P105(f326(f160(x66533,x66531),f326(f326(f151(x66533),x66532),x66534)))
% 225.13/225.10 [6662]~E(x66623,f326(f326(f3(a917),f326(f189(f918(x66621)),x66622)),f77(a917)))+E(f114(x66621,f326(f326(f159(x66621,x66622),x66623),x66624)),f114(x66621,x66622))
% 225.13/225.10 [6682]~P108(x66821)+E(f326(f326(f102(f925(x66821,a913)),f326(f300(x66821),x66822)),f302(x66821,x66823,x66824)),f302(x66821,x66823,f326(f326(f238(x66821),x66822),x66824)))
% 225.13/225.10 [6683]~P108(x66831)+E(f326(f326(f102(f925(x66831,a913)),f326(f282(x66831),x66832)),f302(x66831,x66833,x66834)),f302(x66831,f326(f326(f233(x66831),x66832),x66833),x66834))
% 225.13/225.10 [6699]E(f326(f326(f102(f925(x66991,a913)),x66992),f326(f326(f308(x66991),x66993),x66994)),f326(f326(f102(f925(x66991,a913)),x66992),x66994))+P105(f326(f326(f328(x66991),x66993),x66992))
% 225.13/225.10 [6711]E(f170(x67111,x67112,f326(f326(f134(x67111),x67113),x67114)),f326(f326(f134(x67111),x67113),f170(x67111,x67112,x67114)))+P105(f326(f326(f328(x67111),x67112),f326(f172(x67111),x67113)))
% 225.13/225.10 [6716]~P79(x67161)+E(f326(f326(f80(x67161),f326(f326(f243(x67161),x67162),x67163)),f326(f326(f243(x67161),x67162),x67164)),f326(f326(f243(x67161),x67162),f326(f326(f79(a917),x67163),x67164)))
% 225.13/225.10 [6717]~P120(x67171)+E(f326(f326(f80(x67171),f326(f326(f243(x67171),x67172),x67173)),f326(f326(f243(x67171),x67172),x67174)),f326(f326(f243(x67171),x67172),f326(f326(f79(a917),x67173),x67174)))
% 225.13/225.10 [6754]~P120(x67541)+E(f326(f326(f79(x67541),f326(f326(f80(x67541),x67542),x67543)),f326(f326(f80(x67541),x67542),x67544)),f326(f326(f80(x67541),x67542),f326(f326(f79(x67541),x67543),x67544)))
% 225.13/225.10 [6755]~P108(x67551)+E(f326(f326(f233(x67551),f326(f326(f238(x67551),x67552),x67553)),f326(f326(f238(x67551),x67552),x67554)),f326(f326(f238(x67551),x67552),f326(f326(f233(x67551),x67553),x67554)))
% 225.13/225.10 [6756]~P108(x67561)+E(f326(f326(f238(x67561),f326(f326(f233(x67561),x67562),x67563)),f326(f326(f233(x67561),x67562),x67564)),f326(f326(f233(x67561),x67562),f326(f326(f238(x67561),x67563),x67564)))
% 225.13/225.10 [6757]~P100(x67571)+E(f326(f326(f102(x67571),f326(f326(f101(x67571),x67572),x67573)),f326(f326(f101(x67571),x67572),x67574)),f326(f326(f101(x67571),x67572),f326(f326(f102(x67571),x67573),x67574)))
% 225.13/225.10 [6758]~P100(x67581)+E(f326(f326(f101(x67581),f326(f326(f102(x67581),x67582),x67583)),f326(f326(f102(x67581),x67582),x67584)),f326(f326(f102(x67581),x67582),f326(f326(f101(x67581),x67583),x67584)))
% 225.13/225.10 [6791]~P3(x67911)+E(f44(x67911,f326(f326(f80(x67911),x67912),x67913),f326(f326(f80(x67911),x67914),x67913)),f326(f326(f80(x67911),f44(x67911,x67912,x67914)),x67913))
% 225.13/225.10 [6794]~E(f326(f189(f918(x67941)),x67943),f326(f189(f918(x67942)),x67944))+E(f326(f326(f154(f924(x67941,x67942),x67942),f255(x67941,x67942)),f326(f326(f181(x67941,x67942),x67943),x67944)),x67944)
% 225.13/225.10 [6795]~E(f326(f189(f918(x67951)),x67953),f326(f189(f918(x67952)),x67954))+E(f326(f326(f154(f924(x67951,x67952),x67951),f250(x67951,x67952)),f326(f326(f181(x67951,x67952),x67953),x67954)),x67953)
% 225.13/225.10 [6800]P105(f326(f160(x68001,x68002),x68003))+~P105(f326(f160(x68001,x68002),f326(f326(f151(x68001),x68004),x68003)))
% 225.13/225.10 [6801]P105(f326(f160(x68011,x68012),x68013))+~P105(f326(f160(x68011,x68012),f326(f326(f134(x68011),x68014),x68013)))
% 225.13/225.10 [6802]P105(f326(f160(x68021,x68022),x68023))+~P105(f326(f160(x68021,x68022),f326(f326(f134(x68021),x68023),x68024)))
% 225.13/225.10 [6807]~P4(x68071)+E(f44(x68071,f326(f326(f3(x68071),x68072),f44(x68071,x68073,x68074)),x68074),f44(x68071,f326(f326(f3(x68071),x68072),x68073),x68074))
% 225.13/225.10 [6808]~P3(x68081)+E(f44(x68081,f326(f326(f80(x68081),x68082),f44(x68081,x68083,x68084)),x68084),f44(x68081,f326(f326(f80(x68081),x68082),x68083),x68084))
% 225.13/225.10 [6810]~P3(x68101)+E(f44(x68101,f326(f326(f79(x68101),x68102),f44(x68101,x68103,x68104)),x68104),f44(x68101,f326(f326(f79(x68101),x68102),x68103),x68104))
% 225.13/225.10 [6892]~P108(x68921)+E(f326(f326(f102(f925(x68921,a913)),f302(x68921,x68922,x68923)),f326(f300(x68921),x68924)),f302(x68921,x68922,f326(f326(f238(x68921),x68923),x68924)))
% 225.13/225.10 [6893]~P108(x68931)+E(f326(f326(f102(f925(x68931,a913)),f302(x68931,x68932,x68933)),f326(f282(x68931),x68934)),f302(x68931,f326(f326(f233(x68931),x68932),x68934),x68933))
% 225.13/225.10 [6896]~E(f326(f189(f918(x68961)),x68963),f326(f189(f918(x68962)),x68964))+E(f326(f326(f181(x68961,x68962),f326(f168(x68961),x68963)),f326(f168(x68962),x68964)),f326(f168(f924(x68961,x68962)),f326(f326(f181(x68961,x68962),x68963),x68964)))
% 225.13/225.10 [6907]E(x69071,f326(f326(f3(a917),f326(f189(f918(x69072)),x69073)),f77(a917)))+E(f114(x69072,f326(f326(f159(x69072,x69073),x69071),x69074)),f326(f326(f159(x69072,f114(x69072,x69073)),x69071),x69074))
% 225.13/225.10 [6921]~P105(f326(f137(x69212),x69214))+P105(f326(f137(f924(x69211,x69212)),f326(f326(f181(x69211,x69212),x69213),x69214)))
% 225.13/225.10 [6922]~P105(f326(f137(x69221),x69223))+P105(f326(f137(f924(x69221,x69222)),f326(f326(f181(x69221,x69222),x69223),x69224)))
% 225.13/225.10 [7185]E(f326(f326(f35(a917),x71851),x71852),x71853)+~P105(f326(f47(x71851,x71852),f326(f326(f251(a917,a917),x71853),x71854)))
% 225.13/225.10 [7208]E(f44(a917,x72081,x72082),x72083)+~P105(f326(f47(x72081,x72082),f326(f326(f251(a917,a917),x72084),x72083)))
% 225.13/225.10 [7211]P105(f326(f137(x72111),x72112))+~P105(f326(f137(x72113),f326(f326(f154(x72111,x72113),x72114),x72112)))
% 225.13/225.10 [7295]E(f170(x72951,x72952,f326(f326(f134(x72951),x72953),x72954)),f326(f326(f134(x72951),f170(x72951,x72952,x72953)),x72954))+~P105(f326(f326(f328(x72951),x72952),f326(f172(x72951),x72953)))
% 225.13/225.10 [7388]~P4(x73881)+E(f44(x73881,f326(f326(f3(x73881),f44(x73881,x73882,x73883)),x73884),x73883),f44(x73881,f326(f326(f3(x73881),x73882),x73884),x73883))
% 225.13/225.10 [7391]~P3(x73911)+E(f44(x73911,f326(f326(f80(x73911),f44(x73911,x73912,x73913)),x73914),x73913),f44(x73911,f326(f326(f80(x73911),x73912),x73914),x73913))
% 225.13/225.10 [7392]~P3(x73921)+E(f44(x73921,f326(f326(f79(x73921),f44(x73921,x73922,x73923)),x73924),x73923),f44(x73921,f326(f326(f79(x73921),x73922),x73924),x73923))
% 225.13/225.10 [7589]~E(x75891,f326(f326(f151(x75892),x75893),x75894))+~P105(f326(f326(f234(a917),f326(f189(f918(x75892)),x75891)),f326(f189(f918(x75892)),x75894)))
% 225.13/225.10 [7791]P25(x77911,x77912,x77913,f326(f172(x77911),x77914))+~P105(f326(f137(x77912),f326(f326(f154(x77911,x77912),x77913),x77914)))
% 225.13/225.10 [7866]~P105(f326(f326(f234(f925(x78661,a913)),x78662),x78664))+P105(f326(f326(f234(f925(x78661,a913)),x78662),f326(f326(f308(x78661),x78663),x78664)))
% 225.13/225.10 [7902]~P4(x79021)+E(f44(x79021,f326(f326(f3(x79021),f44(x79021,x79022,x79023)),f44(x79021,x79024,x79023)),x79023),f44(x79021,f326(f326(f3(x79021),x79022),x79024),x79023))
% 225.13/225.10 [7903]~P3(x79031)+E(f44(x79031,f326(f326(f80(x79031),f44(x79031,x79032,x79033)),f44(x79031,x79034,x79033)),x79033),f44(x79031,f326(f326(f80(x79031),x79032),x79034),x79033))
% 225.13/225.10 [7904]~P3(x79041)+E(f44(x79041,f326(f326(f79(x79041),f44(x79041,x79042,x79043)),f44(x79041,x79044,x79043)),x79043),f44(x79041,f326(f326(f79(x79041),x79042),x79044),x79043))
% 225.13/225.10 [8006]~E(f326(x80064,f491(x80064,x80063,x80061,x80062)),f188(f925(x80062,a913)))+E(f326(f326(f38(x80061,f925(x80062,a913)),x80063),x80064),f188(f925(x80062,a913)))
% 225.13/225.10 [8007]~E(f326(x80074,f517(x80074,x80073,x80071,x80072)),f241(f925(x80072,a913)))+E(f326(f326(f39(x80071,f925(x80072,a913)),x80073),x80074),f241(f925(x80072,a913)))
% 225.13/225.10 [8008]~E(f326(x80084,f496(x80084,x80083,x80082,x80081)),f188(f925(x80082,a913)))+E(f326(f326(f38(x80081,f925(x80082,a913)),x80083),x80084),f188(f925(x80082,a913)))
% 225.13/225.10 [8009]~E(f326(x80094,f521(x80094,x80093,x80092,x80091)),f241(f925(x80092,a913)))+E(f326(f326(f39(x80091,f925(x80092,a913)),x80093),x80094),f241(f925(x80092,a913)))
% 225.13/225.10 [8399]P105(f326(x83991,x83992))+~P105(f326(f326(f328(x83993),x83992),f326(f326(f102(f925(x83993,a913)),x83994),f326(f261(x83993),x83991))))
% 225.13/225.10 [8436]~P105(f326(f326(f234(f925(x84361,a913)),x84363),x84364))+P105(f326(f326(f234(f925(x84361,a913)),f326(f326(f308(x84361),x84362),x84363)),f326(f326(f308(x84361),x84362),x84364)))
% 225.13/225.10 [8613]P105(f326(x86132,x86133))+E(f326(f326(f138(x86131),f326(f189(f918(x86131)),f177(x86131,x86132,f326(f326(f151(x86131),x86133),x86134)))),f326(f326(f151(x86131),x86133),x86134)),f326(f326(f151(x86131),x86133),x86134))
% 225.13/225.10 [8719]~P105(f326(f326(f235(a917),f326(x87194,x87192)),f326(x87194,x87193)))+P105(f326(f326(f328(f924(x87191,x87191)),f326(f326(f251(x87191,x87191),x87192),x87193)),f326(f326(f287(a917,x87191),a239),x87194)))
% 225.13/225.10 [8815]~P105(f326(x88152,f741(x88154,x88152,x88153,x88151)))+E(f177(x88151,x88152,f326(f326(f134(x88151),x88153),x88154)),f326(f326(f134(x88151),x88153),f177(x88151,x88152,x88154)))
% 225.13/225.10 [8892]P25(f918(x88921),f918(x88922),f326(f154(x88921,x88922),x88923),x88924)+~P25(x88921,x88922,x88923,f36(f925(x88921,a913),f326(f309(f918(x88921),f925(x88921,a913),f172(x88921)),x88924)))
% 225.13/225.10 [8967]~P105(f326(x89672,x89673))+E(f326(f326(f138(x89671),f326(f189(f918(x89671)),f177(x89671,x89672,f326(f326(f151(x89671),x89673),x89674)))),f326(f326(f151(x89671),x89673),x89674)),f326(f326(f138(x89671),f326(f189(f918(x89671)),f177(x89671,x89672,x89674))),x89674))
% 225.13/225.10 [9008]~E(x90082,x90083)+E(f326(f136(x90081,f326(f326(f10(a913,a913,x90081),a321),f326(a323,x90082))),f326(f326(f151(x90081),x90083),x90084)),f326(f136(x90081,f326(f326(f10(a913,a913,x90081),a321),f326(a323,x90082))),x90084))
% 225.13/225.10 [9018]E(f326(f326(f38(x90181,f925(x90182,a913)),x90183),x90184),f188(f925(x90182,a913)))+P105(f326(f326(f328(x90181),f491(x90184,x90183,x90181,x90182)),x90183))
% 225.13/225.10 [9019]E(f326(f326(f39(x90191,f925(x90192,a913)),x90193),x90194),f241(f925(x90192,a913)))+P105(f326(f326(f328(x90191),f517(x90194,x90193,x90191,x90192)),x90193))
% 225.13/225.10 [9020]E(f326(f326(f38(x90201,f925(x90202,a913)),x90203),x90204),f188(f925(x90202,a913)))+P105(f326(f326(f328(x90201),f496(x90204,x90203,x90202,x90201)),x90203))
% 225.13/225.10 [9021]E(f326(f326(f39(x90211,f925(x90212,a913)),x90213),x90214),f241(f925(x90212,a913)))+P105(f326(f326(f328(x90211),f521(x90214,x90213,x90212,x90211)),x90213))
% 225.13/225.10 [9059]P105(f326(f326(f235(a917),f326(x90591,x90592)),f326(x90591,x90593)))+~P105(f326(f326(f328(f924(x90594,x90594)),f326(f326(f251(x90594,x90594),x90592),x90593)),f326(f326(f287(a917,x90594),a239),x90591)))
% 225.13/225.10 [9085]E(f177(x90851,x90852,f326(f326(f134(x90851),x90853),x90854)),f326(f326(f134(x90851),x90853),f177(x90851,x90852,x90854)))+P105(f326(f326(f328(x90851),f741(x90854,x90852,x90853,x90851)),f326(f172(x90851),x90853)))
% 225.13/225.10 [9136]~P26(x91361,x91362,x91363,f241(f925(x91361,a913)),f241(f925(x91362,a913)))+E(f326(f309(x91361,x91362,x91363),f326(f78(f925(x91361,a913)),x91364)),f326(f78(f925(x91362,a913)),f326(f309(x91361,x91362,x91363),x91364)))
% 225.13/225.10 [9239]P105(f326(f326(f328(x92391),f452(x92392,x92393,x92394,x92391)),x92393))+~P105(f326(f326(f328(f925(x92391,a913)),x92394),f326(f326(f59(x92391),x92393),x92392)))
% 225.13/225.10 [9242]E(x92421,x92422)+~P105(f326(f326(f328(f924(x92423,x92423)),f326(f326(f251(x92423,x92423),x92421),x92422)),f326(f326(f183(f924(x92423,x92423),a913),f2(a917)),x92424)))
% 225.13/225.10 [9323]E(f326(f284(x93231,x93231,x93232),f326(f326(f308(x93231),f452(x93232,x93233,x93234,x93231)),f188(f925(x93231,a913)))),x93234)+~P105(f326(f326(f328(f925(x93231,a913)),x93234),f326(f326(f59(x93231),x93233),x93232)))
% 225.13/225.10 [9328]~P105(f326(f326(f328(f924(x93281,x93281)),f326(f326(f251(x93281,x93281),x93283),x93282)),f306(x93281,x93284)))+P105(f326(f326(f328(f924(x93281,x93281)),f326(f326(f251(x93281,x93281),x93282),x93283)),f306(x93281,f326(f285(x93281,x93281),x93284))))
% 225.13/225.10 [9341]~P3(x93411)+E(f326(f326(f79(x93411),f326(f326(f79(x93411),f326(f326(f80(x93411),x93412),f326(f326(f35(x93411),x93413),x93412))),f44(x93411,x93413,x93412))),x93414),f326(f326(f79(x93411),x93413),x93414))
% 225.13/225.10 [9352]~P105(f326(f326(f328(x93521),x93523),x93524))+P105(f326(f326(f328(f925(x93521,a913)),f326(f284(x93521,x93521,x93522),f326(f326(f308(x93521),x93523),f188(f925(x93521,a913))))),f326(f326(f59(x93521),x93524),x93522)))
% 225.13/225.10 [9364]P105(f326(f326(f328(f924(x93641,x93641)),f326(f326(f251(x93641,x93641),x93642),x93643)),f306(x93641,x93644)))+~P105(f326(f326(f328(f924(x93641,x93641)),f326(f326(f251(x93641,x93641),x93643),x93642)),f306(x93641,f326(f285(x93641,x93641),x93644))))
% 225.13/225.10 [9450]E(f326(f326(f159(x94501,f326(f168(x94501),x94502)),f326(f326(f3(a917),f326(f326(f3(a917),f326(f189(f918(x94501)),x94502)),x94503)),f77(a917))),x94504),f326(f168(x94501),f326(f326(f159(x94501,x94502),x94503),x94504)))+~P105(f326(f326(f235(a917),x94503),f326(f189(f918(x94501)),x94502)))
% 225.13/225.10 [9453]~P105(f326(x94532,f736(x94534,x94532,x94533,x94531)))+E(f326(f326(f138(x94531),f326(f189(f918(x94531)),f177(x94531,x94532,f326(f326(f134(x94531),x94533),x94534)))),f326(f326(f134(x94531),x94533),x94534)),f326(f326(f138(x94531),f326(f189(f918(x94531)),f177(x94531,x94532,x94534))),x94534))
% 225.13/225.10 [9499]~P25(x94992,x94991,x94993,f241(f925(x94992,a913)))+P105(f326(f326(f234(f925(x94991,a913)),f326(f309(x94992,x94991,x94993),f326(f78(f925(x94992,a913)),x94994))),f326(f78(f925(x94991,a913)),f326(f309(x94992,x94991,x94993),x94994))))
% 225.13/225.10 [9511]~P5(x95111)+E(f326(f142(x95111,x95112,f326(f9(x95112,x95111,x95111),f326(f326(f10(x95111,f925(x95111,x95111),x95112),f101(x95111)),x95113)),f188(x95111)),x95114),f326(f326(f38(x95112,x95111),f326(f172(x95112),x95114)),x95113))
% 225.13/225.10 [9512]~P5(x95121)+E(f326(f142(x95121,x95122,f326(f9(x95122,x95121,x95121),f326(f326(f10(x95121,f925(x95121,x95121),x95122),f102(x95121)),x95123)),f241(x95121)),x95124),f326(f326(f39(x95122,x95121),f326(f172(x95122),x95124)),x95123))
% 225.13/225.10 [9522]E(f326(f326(f138(x95221),f326(f189(f918(x95221)),f177(x95221,x95222,f326(f326(f134(x95221),x95223),x95224)))),f326(f326(f134(x95221),x95223),x95224)),f326(f326(f138(x95221),f326(f189(f918(x95221)),f177(x95221,x95222,x95224))),x95224))+P105(f326(f326(f328(x95221),f736(x95224,x95222,x95223,x95221)),f326(f172(x95221),x95223)))
% 225.13/225.10 [9592]~P105(f326(f326(f328(f924(f918(x95924),f918(x95924))),f326(f326(f251(f918(x95924),f918(x95924)),x95923),x95922)),f157(x95924,x95921)))+P105(f326(f326(f235(a917),f670(x95921,x95922,x95923,x95924)),f326(f189(f918(x95924)),x95923)))
% 225.13/225.10 [9593]~P3(x95931)+E(f326(f326(f79(x95931),f326(f326(f79(x95931),f326(f326(f80(x95931),f326(f326(f35(x95931),x95932),x95933)),x95933)),f44(x95931,x95932,x95933))),x95934),f326(f326(f79(x95931),x95932),x95934))
% 225.13/225.10 [9622]~P105(f326(f326(f328(f924(f918(x96221),f918(x96221))),f326(f326(f251(f918(x96221),f918(x96221)),x96222),x96223)),f326(f285(f918(x96221),f918(x96221)),f157(x96221,x96224))))+P105(f326(f326(f328(f924(f918(x96221),f918(x96221))),f326(f326(f251(f918(x96221),f918(x96221)),x96222),x96223)),f157(x96221,f326(f285(x96221,x96221),x96224))))
% 225.13/225.10 [9623]P105(f326(f326(f328(f924(f918(x96231),f918(x96231))),f326(f326(f251(f918(x96231),f918(x96231)),x96232),x96233)),f326(f285(f918(x96231),f918(x96231)),f157(x96231,x96234))))+~P105(f326(f326(f328(f924(f918(x96231),f918(x96231))),f326(f326(f251(f918(x96231),f918(x96231)),x96232),x96233)),f157(x96231,f326(f285(x96231,x96231),x96234))))
% 225.13/225.10 [9665]~P105(f326(f326(f328(x96651),x96653),f326(f263(x96651,x96652),x96654)))+P105(f326(f326(f328(f924(x96651,x96652)),f326(f326(f251(x96651,x96652),x96653),f570(x96654,x96652,x96653,x96651))),x96654))
% 225.13/225.10 [9666]~P105(f326(f326(f328(x96661),x96663),f326(f263(x96661,x96662),x96664)))+P105(f326(f326(f328(f924(x96661,x96662)),f326(f326(f251(x96661,x96662),x96663),f571(x96664,x96662,x96663,x96661))),x96664))
% 225.13/225.10 [9826]~P105(f326(f326(f328(f924(x98261,x98261)),f326(f326(f251(x98261,x98261),x98262),x98264)),f326(f326(f288(x98261,x98261,x98261),x98263),f306(x98261,x98263))))+P105(f326(f326(f328(f924(x98261,x98261)),f326(f326(f251(x98261,x98261),x98262),f635(x98263,x98264,x98262,x98261))),x98263))
% 225.13/225.10 [9985]P11(x99851,x99852,x99853,x99854)+P105(f326(f326(f328(f924(x99851,x99851)),f326(f326(f251(x99851,x99851),f854(x99852,x99854,x99853,x99851)),f853(x99852,x99854,x99853,x99851))),x99853))
% 225.13/225.10 [9992]~P105(f326(f326(f328(f924(x99922,x99921)),x99924),f326(f285(x99921,x99922),x99923)))+P105(f326(f326(f328(f924(x99921,x99922)),f326(f326(f251(x99921,x99922),f646(x99923,x99924,x99921,x99922)),f645(x99923,x99924,x99921,x99922))),x99923))
% 225.13/225.10 [10016]~P105(f326(f326(f328(f924(f918(x100161),f918(x100161))),f326(f326(f251(f918(x100161),f918(x100161)),x100164),x100163)),f157(x100161,x100162)))+P105(f326(f326(f328(f924(x100161,x100161)),f326(f326(f251(x100161,x100161),f684(x100162,x100163,x100164,x100161)),f685(x100162,x100163,x100164,x100161))),x100162))
% 225.13/225.10 [10108]~P105(f326(f326(f328(f924(f918(x101081),f918(x101081))),f326(f326(f251(f918(x101081),f918(x101081)),x101082),x101084)),f157(x101081,x101083)))+P105(f326(f326(f328(f924(x101081,x101081)),f326(f326(f251(x101081,x101081),f326(f326(f164(x101081),x101082),f670(x101083,x101084,x101082,x101081))),f671(x101083,x101084,x101082,x101081))),x101083))
% 225.13/225.10 [10128]~P105(f326(f60(x101282),x101284))+E(f326(f326(f326(f64(f925(x101281,a913),x101282,f101(f925(x101281,a913))),f326(f326(f9(x101282,f925(x101281,a913),f925(x101281,a913)),f326(f326(f10(x101281,f925(f925(x101281,a913),f925(x101281,a913)),x101282),f308(x101281)),x101283)),f188(f925(x101281,a913)))),f188(f925(x101281,a913))),x101284),f326(f309(x101282,x101281,x101283),x101284))
% 225.13/225.10 [10239]~P25(x102391,x102392,x102393,f241(f925(x102391,a913)))+P105(f326(f326(f234(f925(x102391,a913)),f326(f310(x102391,x102392,x102393),f326(f326(f308(x102392),x102394),f188(f925(x102392,a913))))),f326(f326(f308(x102391),f84(x102391,f326(f326(f9(x102391,x102392,a913),f326(f326(f10(x102392,f925(x102392,a913),x102391),a323),x102393)),x102394))),f188(f925(x102391,a913)))))
% 225.13/225.10 [5816]~E(f326(f326(f134(x58161),x58162),x58164),x58163)+E(f326(f326(f175(x58161),f326(f189(f918(x58161)),x58162)),x58163),x58162)
% 225.13/225.10 [5817]~E(f326(f326(f134(x58172),x58173),x58171),x58174)+E(x58171,f326(f326(f138(x58172),f326(f189(f918(x58172)),x58173)),x58174))
% 225.13/225.10 [5828]~E(x58284,f2(a917))+E(f326(f326(f164(x58281),f326(f326(f151(x58281),x58282),x58283)),x58284),x58282)
% 225.13/225.10 [6375]~P120(x63751)+E(f326(f326(f243(x63751),f326(f326(f243(x63751),x63752),x63753)),x63754),f326(f326(f243(x63751),x63752),f326(f326(f80(a917),x63753),x63754)))
% 225.13/225.10 [6376]~P79(x63761)+E(f326(f326(f243(x63761),f326(f326(f243(x63761),x63762),x63763)),x63764),f326(f326(f243(x63761),x63762),f326(f326(f80(a917),x63763),x63764)))
% 225.13/225.10 [6384]E(x63841,f2(a917))+E(f326(f326(f164(x63842),f326(f326(f151(x63842),x63843),x63844)),x63841),f326(f326(f164(x63842),x63844),f326(f326(f3(a917),x63841),f77(a917))))
% 225.13/225.10 [6411]~P124(x64111)+E(f326(f326(f290(x64111),f326(f326(f80(x64111),x64112),x64113)),x64114),f326(f326(f80(x64111),x64112),f326(f326(f290(x64111),x64113),x64114)))
% 225.13/225.10 [6413]~P66(x64131)+E(f326(f326(f80(x64131),f326(f326(f80(x64131),x64132),x64133)),x64134),f326(f326(f80(x64131),x64132),f326(f326(f80(x64131),x64133),x64134)))
% 225.13/225.10 [6414]~P120(x64141)+E(f326(f326(f80(x64141),f326(f326(f80(x64141),x64142),x64143)),x64144),f326(f326(f80(x64141),x64142),f326(f326(f80(x64141),x64143),x64144)))
% 225.13/225.10 [6416]~P68(x64161)+E(f326(f326(f79(x64161),f326(f326(f79(x64161),x64162),x64163)),x64164),f326(f326(f79(x64161),x64162),f326(f326(f79(x64161),x64163),x64164)))
% 225.13/225.10 [6417]~P120(x64171)+E(f326(f326(f79(x64171),f326(f326(f79(x64171),x64172),x64173)),x64174),f326(f326(f79(x64171),x64172),f326(f326(f79(x64171),x64173),x64174)))
% 225.13/225.10 [6419]~P108(x64191)+E(f326(f326(f238(x64191),f326(f326(f238(x64191),x64192),x64193)),x64194),f326(f326(f238(x64191),x64192),f326(f326(f238(x64191),x64193),x64194)))
% 225.13/225.10 [6421]~P108(x64211)+E(f326(f326(f233(x64211),f326(f326(f233(x64211),x64212),x64213)),x64214),f326(f326(f233(x64211),x64212),f326(f326(f233(x64211),x64213),x64214)))
% 225.13/225.10 [6423]~P98(x64231)+E(f326(f326(f101(x64231),f326(f326(f101(x64231),x64232),x64233)),x64234),f326(f326(f101(x64231),x64232),f326(f326(f101(x64231),x64233),x64234)))
% 225.13/225.10 [6424]~P99(x64241)+E(f326(f326(f101(x64241),f326(f326(f101(x64241),x64242),x64243)),x64244),f326(f326(f101(x64241),x64242),f326(f326(f101(x64241),x64243),x64244)))
% 225.13/225.10 [6425]~P99(x64251)+E(f326(f326(f102(x64251),f326(f326(f102(x64251),x64252),x64253)),x64254),f326(f326(f102(x64251),x64252),f326(f326(f102(x64251),x64253),x64254)))
% 225.13/225.10 [6427]~P102(x64271)+E(f326(f326(f102(x64271),f326(f326(f102(x64271),x64272),x64273)),x64274),f326(f326(f102(x64271),x64272),f326(f326(f102(x64271),x64273),x64274)))
% 225.13/225.10 [6436]~P3(x64361)+E(f44(x64361,f326(f326(f79(x64361),x64362),f326(f326(f80(x64361),x64363),x64364)),x64364),f44(x64361,x64362,x64364))
% 225.13/225.10 [6437]~P3(x64371)+E(f44(x64371,f326(f326(f79(x64371),x64372),f326(f326(f80(x64371),x64373),x64374)),x64373),f44(x64371,x64372,x64373))
% 225.13/225.10 [6575]E(f326(f326(f164(x65751),f326(f326(f175(x65751),x65752),x65753)),x65754),f326(f326(f164(x65751),x65753),x65754))+~P105(f326(f326(f235(a917),x65754),x65752))
% 225.13/225.10 [6750]~E(x67502,x67504)+P105(f326(f326(f172(x67501),f326(f326(f151(x67501),x67502),x67503)),x67504))
% 225.13/225.10 [6752]~P120(x67521)+E(f326(f326(f80(x67521),f326(f326(f80(x67521),x67522),x67523)),x67524),f326(f326(f80(x67521),f326(f326(f80(x67521),x67522),x67524)),x67523))
% 225.13/225.10 [6753]~P120(x67531)+E(f326(f326(f79(x67531),f326(f326(f79(x67531),x67532),x67533)),x67534),f326(f326(f79(x67531),f326(f326(f79(x67531),x67532),x67534)),x67533))
% 225.13/225.10 [6813]~P145(x68132)+E(f326(f326(f8(x68131,x68132),f326(f18(x68132,x68131),x68133)),x68134),f326(f326(f80(x68132),f326(f100(x68132),f326(f34(x68131),x68134))),x68133))
% 225.13/225.10 [6984]E(f326(f326(f102(f925(x69841,a913)),f326(f326(f308(x69841),x69842),x69843)),x69844),f326(f326(f102(f925(x69841,a913)),x69843),x69844))+P105(f326(f326(f328(x69841),x69842),x69844))
% 225.13/225.10 [7053]~P77(x70531)+E(f326(f326(f238(x70531),f326(f326(f3(x70531),x70532),x70533)),f326(f326(f3(x70531),x70534),x70533)),f326(f326(f3(x70531),f326(f326(f238(x70531),x70532),x70534)),x70533))
% 225.13/225.10 [7054]~P77(x70541)+E(f326(f326(f233(x70541),f326(f326(f3(x70541),x70542),x70543)),f326(f326(f3(x70541),x70544),x70543)),f326(f326(f3(x70541),f326(f326(f233(x70541),x70542),x70544)),x70543))
% 225.13/225.10 [7055]~P114(x70551)+E(f326(f326(f79(x70551),f326(f326(f80(x70551),x70552),x70553)),f326(f326(f80(x70551),x70554),x70553)),f326(f326(f80(x70551),f326(f326(f79(x70551),x70552),x70554)),x70553))
% 225.13/225.10 [7057]~P82(x70571)+E(f326(f326(f238(x70571),f326(f326(f79(x70571),x70572),x70573)),f326(f326(f79(x70571),x70574),x70573)),f326(f326(f79(x70571),f326(f326(f238(x70571),x70572),x70574)),x70573))
% 225.13/225.10 [7058]~P82(x70581)+E(f326(f326(f233(x70581),f326(f326(f79(x70581),x70582),x70583)),f326(f326(f79(x70581),x70584),x70583)),f326(f326(f79(x70581),f326(f326(f233(x70581),x70582),x70584)),x70583))
% 225.13/225.10 [7059]~P108(x70591)+E(f326(f326(f233(x70591),f326(f326(f238(x70591),x70592),x70593)),f326(f326(f238(x70591),x70594),x70593)),f326(f326(f238(x70591),f326(f326(f233(x70591),x70592),x70594)),x70593))
% 225.13/225.10 [7060]~P108(x70601)+E(f326(f326(f238(x70601),f326(f326(f233(x70601),x70602),x70603)),f326(f326(f233(x70601),x70604),x70603)),f326(f326(f233(x70601),f326(f326(f238(x70601),x70602),x70604)),x70603))
% 225.13/225.10 [7061]~P124(x70611)+E(f326(f326(f3(x70611),f326(f326(f290(x70611),x70612),x70613)),f326(f326(f290(x70611),x70614),x70613)),f326(f326(f290(x70611),f326(f326(f3(x70611),x70612),x70614)),x70613))
% 225.13/225.10 [7062]~P124(x70621)+E(f326(f326(f79(x70621),f326(f326(f290(x70621),x70622),x70623)),f326(f326(f290(x70621),x70624),x70623)),f326(f326(f290(x70621),f326(f326(f79(x70621),x70622),x70624)),x70623))
% 225.13/225.10 [7063]~P69(x70631)+E(f326(f326(f80(x70631),f326(f326(f243(x70631),x70632),x70633)),f326(f326(f243(x70631),x70634),x70633)),f326(f326(f243(x70631),f326(f326(f80(x70631),x70632),x70634)),x70633))
% 225.13/225.10 [7064]~P120(x70641)+E(f326(f326(f80(x70641),f326(f326(f243(x70641),x70642),x70643)),f326(f326(f243(x70641),x70644),x70643)),f326(f326(f243(x70641),f326(f326(f80(x70641),x70642),x70644)),x70643))
% 225.13/225.10 [7065]~P61(x70651)+E(f326(f326(f290(x70651),f326(f326(f243(x70651),x70652),x70653)),f326(f326(f243(x70651),x70654),x70653)),f326(f326(f243(x70651),f326(f326(f290(x70651),x70652),x70654)),x70653))
% 225.13/225.10 [7066]~P100(x70661)+E(f326(f326(f102(x70661),f326(f326(f101(x70661),x70662),x70663)),f326(f326(f101(x70661),x70664),x70663)),f326(f326(f101(x70661),f326(f326(f102(x70661),x70662),x70664)),x70663))
% 225.13/225.10 [7067]~P100(x70671)+E(f326(f326(f101(x70671),f326(f326(f102(x70671),x70672),x70673)),f326(f326(f102(x70671),x70674),x70673)),f326(f326(f102(x70671),f326(f326(f101(x70671),x70672),x70674)),x70673))
% 225.13/225.10 [7068]~P120(x70681)+E(f326(f326(f79(x70681),f326(f326(f80(x70681),x70682),x70683)),f326(f326(f80(x70681),x70684),x70683)),f326(f326(f80(x70681),f326(f326(f79(x70681),x70682),x70684)),x70683))
% 225.13/225.10 [7100]E(f326(f326(f159(x71001,x71002),x71003),x71004),x71002)+~P105(f326(f326(f234(a917),f326(f189(f918(x71001)),x71002)),x71003))
% 225.13/225.10 [7126]~P105(f326(x71263,x71264))+P105(f326(f326(f326(f101(f925(x71261,a913)),x71262),x71263),x71264))
% 225.13/225.10 [7128]~P105(f326(x71282,x71284))+P105(f326(f326(f326(f101(f925(x71281,a913)),x71282),x71283),x71284))
% 225.13/225.10 [7147]E(f326(f326(f164(x71471),f326(f326(f134(x71471),x71472),x71473)),x71474),f326(f326(f164(x71471),x71472),x71474))+~P105(f326(f326(f235(a917),x71474),f326(f189(f918(x71471)),x71472)))
% 225.13/225.10 [7158]E(f326(f326(f3(f925(x71581,a913)),f326(f326(f308(x71581),x71582),x71583)),x71584),f326(f326(f3(f925(x71581,a913)),x71583),x71584))+~P105(f326(f326(f328(x71581),x71582),x71584))
% 225.13/225.10 [7198]~E(f139(a917,f326(f301(a917,x71981),x71982)),f326(f326(f151(a917),x71984),x71983))+E(f139(a917,f326(f301(a917,f326(f326(f79(a917),x71981),f77(a917))),x71982)),x71983)
% 225.13/225.10 [7219]~P105(f326(f326(f172(x72191),x72193),x72194))+P105(f326(f326(f172(x72191),f326(f326(f151(x72191),x72192),x72193)),x72194))
% 225.13/225.10 [7270]E(x72701,f2(a917))+E(f326(f326(f151(x72702),x72703),f326(f326(f175(x72702),f326(f326(f3(a917),x72701),f77(a917))),x72704)),f326(f326(f175(x72702),x72701),f326(f326(f151(x72702),x72703),x72704)))
% 225.13/225.10 [7372]E(f326(f326(f164(x73721),x73722),f326(f326(f3(a917),x73723),f326(f189(f918(x73721)),x73724))),f326(f326(f164(x73721),f326(f326(f134(x73721),x73724),x73722)),x73723))+P105(f326(f326(f235(a917),x73723),f326(f189(f918(x73721)),x73724)))
% 225.13/225.10 [7402]E(f326(f326(f102(f925(x74021,a913)),x74022),f326(f326(f308(x74021),x74023),x74024)),f326(f326(f308(x74021),x74023),f326(f326(f102(f925(x74021,a913)),x74022),x74024)))+~P105(f326(f326(f328(x74021),x74023),x74022))
% 225.13/225.10 [7440]E(f326(f326(f164(x74401),f326(f326(f159(x74401,x74402),x74403),x74404)),x74403),x74404)+~P105(f326(f326(f235(a917),x74403),f326(f189(f918(x74401)),x74402)))
% 225.13/225.10 [7462]E(x74621,f188(f925(x74622,a913)))+E(f326(f309(f924(x74623,x74622),x74623,f250(x74623,x74622)),f326(f326(f253(x74623,x74622),x74624),f326(f18(f925(x74622,a913),x74623),x74621))),x74624)
% 225.13/225.10 [7463]E(x74631,f188(f925(x74632,a913)))+E(f326(f309(f924(x74632,x74633),x74633,f255(x74632,x74633)),f326(f326(f253(x74632,x74633),x74631),f326(f18(f925(x74633,a913),x74632),x74634))),x74634)
% 225.13/225.10 [7539]E(f326(f326(f3(f925(x75391,a913)),f326(f326(f308(x75391),x75392),x75393)),x75394),f326(f326(f308(x75391),x75392),f326(f326(f3(f925(x75391,a913)),x75393),x75394)))+P105(f326(f326(f328(x75391),x75392),x75394))
% 225.13/225.10 [7575]~E(x75754,f188(f925(x75752,a913)))+E(f326(f309(f924(x75751,x75752),x75751,f250(x75751,x75752)),f326(f326(f253(x75751,x75752),x75753),f326(f18(f925(x75752,a913),x75751),x75754))),f188(f925(x75751,a913)))
% 225.13/225.10 [7576]~E(x75763,f188(f925(x75761,a913)))+E(f326(f309(f924(x75761,x75762),x75762,f255(x75761,x75762)),f326(f326(f253(x75761,x75762),x75763),f326(f18(f925(x75762,a913),x75761),x75764))),f188(f925(x75762,a913)))
% 225.13/225.10 [7628]~P105(f326(f326(f328(x76281),x76282),x76284))+P105(f326(f326(f328(x76281),x76282),f326(f326(f101(f925(x76281,a913)),x76283),x76284)))
% 225.13/225.10 [7631]~P105(f326(f326(f328(x76311),x76312),x76313))+P105(f326(f326(f328(x76311),x76312),f326(f326(f101(f925(x76311,a913)),x76313),x76314)))
% 225.13/225.10 [7649]E(f326(f326(f102(f925(x76491,a913)),f326(f326(f308(x76491),x76492),x76493)),x76494),f326(f326(f308(x76491),x76492),f326(f326(f102(f925(x76491,a913)),x76493),x76494)))+~P105(f326(f326(f328(x76491),x76492),x76494))
% 225.13/225.10 [7924]P105(f326(x79241,x79242))+~P105(f326(f326(f326(f102(f925(x79243,a913)),x79244),x79241),x79242))
% 225.13/225.10 [7925]P105(f326(x79251,x79252))+~P105(f326(f326(f326(f102(f925(x79253,a913)),x79251),x79254),x79252))
% 225.13/225.10 [7926]E(f326(f326(f8(x79261,a917),x79262),f326(f326(f3(f925(x79261,a913)),x79263),f326(f326(f308(x79261),x79264),f188(f925(x79261,a913))))),f326(f326(f8(x79261,a917),x79262),x79263))+P105(f326(f326(f328(x79261),x79264),x79263))
% 225.13/225.10 [7931]~P70(x79311)+E(f326(f165(x79311),f326(f326(f154(a917,x79311),x79312),f139(a917,f326(f301(a917,x79313),x79314)))),f326(f326(f8(a917,x79311),x79312),f326(f172(a917),f139(a917,f326(f301(a917,x79313),x79314)))))
% 225.13/225.10 [7932]~P70(x79321)+E(f326(f326(f8(a917,x79321),x79322),f326(f172(a917),f139(a917,f326(f301(a917,x79323),x79324)))),f326(f165(x79321),f326(f326(f154(a917,x79321),x79322),f139(a917,f326(f301(a917,x79323),x79324)))))
% 225.13/225.10 [8044]~E(x80443,x80444)+P105(f326(f61(x80441,x80442,f326(f326(f308(x80441),x80443),f188(f925(x80441,a913)))),x80444))
% 225.13/225.10 [8141]P105(f326(f326(f328(x81411),x81412),f326(f172(x81411),x81413)))+~P105(f326(f326(f328(x81411),x81412),f326(f172(x81411),f326(f326(f175(x81411),x81414),x81413))))
% 225.13/225.10 [8142]P105(f326(f326(f328(x81421),x81422),f326(f172(x81421),x81423)))+~P105(f326(f326(f328(x81421),x81422),f326(f172(x81421),f326(f326(f138(x81421),x81424),x81423))))
% 225.13/225.10 [8213]P105(f326(f326(f328(x82131),x82132),x82133))+~P105(f326(f326(f328(x82131),x82132),f326(f326(f3(f925(x82131,a913)),x82133),x82134)))
% 225.13/225.10 [8215]P105(f326(f326(f328(x82151),x82152),x82153))+~P105(f326(f326(f328(x82151),x82152),f326(f326(f102(f925(x82151,a913)),x82154),x82153)))
% 225.13/225.10 [8218]P105(f326(f326(f328(x82181),x82182),x82183))+~P105(f326(f326(f328(x82181),x82182),f326(f326(f102(f925(x82181,a913)),x82183),x82184)))
% 225.13/225.10 [8233]E(f326(f326(f134(x82331),f326(f326(f175(x82331),x82332),x82333)),f326(f326(f151(x82331),x82334),f326(f326(f138(x82331),f326(a112,x82332)),x82333))),f326(f326(f159(x82331,x82333),x82332),x82334))+~P105(f326(f326(f235(a917),x82332),f326(f189(f918(x82331)),x82333)))
% 225.13/225.10 [8256]P105(f326(f326(f328(x82561),x82562),x82563))+~P105(f326(f326(f234(f925(x82561,a913)),f326(f326(f308(x82561),x82562),x82564)),x82563))
% 225.13/225.10 [8292]~P105(f326(f326(f328(x82921),x82922),x82923))+~P105(f326(f326(f328(x82921),x82922),f326(f326(f3(f925(x82921,a913)),x82924),x82923)))
% 225.13/225.10 [8325]~P105(f326(f326(f235(a917),x83254),f326(f189(f918(x83251)),x83253)))+P105(f326(f326(f328(x83251),x83252),f326(f172(x83251),f326(f326(f159(x83251,x83253),x83254),x83252))))
% 225.13/225.10 [8378]E(f326(f326(f164(x83781),f326(f326(f138(x83781),x83782),x83783)),x83784),f326(f326(f164(x83781),x83783),f326(f326(f79(a917),x83782),x83784)))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x83782),x83784)),f326(f189(f918(x83781)),x83783)))
% 225.13/225.10 [8387]~P145(x83872)+E(f326(f326(f8(x83871,x83872),f326(f326(f10(a917,x83872,x83871),f100(x83872)),x83873)),x83874),f326(f100(x83872),f326(f326(f8(x83871,a917),x83873),x83874)))
% 225.13/225.10 [8388]~P141(x83882)+E(f326(f326(f8(x83881,x83882),f326(f326(f10(a1,x83882,x83881),f103(x83882)),x83883)),x83884),f326(f103(x83882),f326(f326(f8(x83881,a1),x83883),x83884)))
% 225.13/225.10 [8438]~P64(x84382)+E(f326(f326(f11(x84381,x84382),f326(f326(f10(x84382,x84382,x84381),f75(x84382)),x84383)),x84384),f326(f75(x84382),f326(f326(f11(x84381,x84382),x84383),x84384)))
% 225.13/225.10 [8439]~P67(x84392)+E(f326(f326(f8(x84391,x84392),f326(f326(f10(x84392,x84392,x84391),f78(x84392)),x84393)),x84394),f326(f78(x84392),f326(f326(f8(x84391,x84392),x84393),x84394)))
% 225.13/225.10 [8441]E(f326(f326(f8(x84411,a917),x84412),f326(f326(f3(f925(x84411,a913)),x84413),f326(f326(f308(x84411),x84414),f188(f925(x84411,a913))))),f326(f326(f3(a917),f326(f326(f8(x84411,a917),x84412),x84413)),f326(x84412,x84414)))+~P105(f326(f326(f328(x84411),x84414),x84413))
% 225.13/225.10 [8460]P105(f326(f326(f234(f925(x84601,a913)),x84602),x84603))+~P105(f326(f326(f234(f925(x84601,a913)),f326(f326(f308(x84601),x84604),x84602)),x84603))
% 225.13/225.10 [8583]~E(f326(f309(x85832,x85833,x85831),f241(f925(x85832,a913))),f241(f925(x85833,a913)))+E(f326(x85831,f326(f90(x85832,x85833,f241(f925(x85832,a913)),x85831),x85834)),x85834)
% 225.13/225.10 [8665]P37(x86651,x86652)+~P37(x86651,f326(f326(f308(f924(x86651,x86651)),f326(f326(f251(x86651,x86651),x86653),x86654)),x86652))
% 225.13/225.10 [8666]P57(x86661,x86662)+~P57(x86661,f326(f326(f308(f924(x86661,x86661)),f326(f326(f251(x86661,x86661),x86663),x86664)),x86662))
% 225.13/225.10 [8671]~P108(x86711)+E(f326(f326(f148(x86711,x86711,f7(x86711)),x86712),f326(f326(f148(x86711,x86711,f7(x86711)),x86713),x86714)),f326(f326(f148(x86711,x86711,f7(x86711)),x86713),f326(f326(f148(x86711,x86711,f7(x86711)),x86712),x86714)))
% 225.13/225.10 [8686]E(x86861,x86862)+~P105(f326(f61(x86863,x86864,f326(f326(f308(x86863),x86861),f188(f925(x86863,a913)))),x86862))
% 225.13/225.10 [8695]E(f326(f326(f134(x86951),f326(f326(f175(x86951),x86952),x86953)),f326(f326(f175(x86951),x86954),f326(f326(f138(x86951),x86952),x86953))),f326(f326(f175(x86951),f326(f326(f79(a917),x86952),x86954)),x86953))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x86952),x86954)),f326(f189(f918(x86951)),x86953)))
% 225.13/225.10 [8735]P105(f326(f60(x87351),x87352))+~E(x87352,f326(f309(a917,x87351,x87353),f326(f261(a917),f326(f326(f9(a917,a917,a913),f235(a917)),x87354))))
% 225.13/225.10 [8755]~P89(x87551)+E(f326(f142(x87551,x87551,f79(x87551),f326(f326(f79(x87551),x87552),x87553)),x87554),f326(f326(f79(x87551),x87552),f326(f142(x87551,x87551,f79(x87551),x87553),x87554)))
% 225.13/225.10 [8791]P105(f326(f326(f234(f925(x87911,a913)),f326(f263(x87911,x87912),x87913)),f326(f263(x87911,x87912),x87914)))+~P105(f326(f326(f234(f925(f924(x87911,x87912),a913)),x87913),x87914))
% 225.13/225.10 [8803]~P105(f326(f326(f234(a917),x88032),x88034))+P105(f326(f326(f234(f925(x88031,a913)),f326(f172(x88031),f326(f326(f175(x88031),x88032),x88033))),f326(f172(x88031),f326(f326(f175(x88031),x88034),x88033))))
% 225.13/225.10 [8804]~P105(f326(f326(f234(a917),x88044),x88042))+P105(f326(f326(f234(f925(x88041,a913)),f326(f172(x88041),f326(f326(f138(x88041),x88042),x88043))),f326(f172(x88041),f326(f326(f138(x88041),x88044),x88043))))
% 225.13/225.10 [8861]~P105(f326(f60(x88611),f326(f326(f3(f925(x88611,a913)),x88612),x88614)))+P105(f326(f60(x88611),f326(f326(f3(f925(x88611,a913)),x88612),f326(f326(f308(x88611),x88613),x88614))))
% 225.13/225.10 [8903]P105(f326(f326(f328(f924(x89031,x89031)),x89032),f306(x89031,x89033)))+~P105(f326(f326(f328(f924(x89031,x89031)),x89032),f326(f326(f183(f924(x89031,x89031),a913),x89034),x89033)))
% 225.13/225.10 [8989]~P105(f326(f60(x89891),f326(f326(f3(f925(x89891,a913)),x89892),f326(f326(f308(x89891),x89894),x89893))))+P105(f326(f60(x89891),f326(f326(f3(f925(x89891,a913)),x89892),x89893)))
% 225.13/225.10 [9200]~P108(x92001)+P105(f326(f326(f234(x92001),f326(f326(f233(x92001),x92002),f326(f326(f238(x92001),x92003),x92004))),f326(f326(f238(x92001),f326(f326(f233(x92001),x92002),x92003)),f326(f326(f233(x92001),x92002),x92004))))
% 225.13/225.10 [9201]~P99(x92011)+P105(f326(f326(f234(x92011),f326(f326(f101(x92011),x92012),f326(f326(f102(x92011),x92013),x92014))),f326(f326(f102(x92011),f326(f326(f101(x92011),x92012),x92013)),f326(f326(f101(x92011),x92012),x92014))))
% 225.13/225.10 [9348]E(x93481,x93482)+~P105(f326(f326(f328(f924(x93483,x93483)),f326(f326(f251(x93483,x93483),x93481),x93482)),f326(f172(f924(x93483,x93483)),f326(f326(f181(x93483,x93483),x93484),x93484))))
% 225.13/225.10 [9378]~P105(f326(f326(f328(f924(x93781,x93781)),f326(f326(f251(x93781,x93781),x93783),x93782)),f306(x93781,x93784)))+~P37(x93781,f326(f326(f308(f924(x93781,x93781)),f326(f326(f251(x93781,x93781),x93782),x93783)),x93784))
% 225.13/225.10 [9379]~P105(f326(f326(f328(f924(x93791,x93791)),f326(f326(f251(x93791,x93791),x93793),x93792)),f306(x93791,x93794)))+~P57(x93791,f326(f326(f308(f924(x93791,x93791)),f326(f326(f251(x93791,x93791),x93792),x93793)),x93794))
% 225.13/225.10 [9383]E(x93831,x93832)+E(f326(f136(x93833,f326(f326(f10(a913,a913,x93833),a321),f326(a323,x93831))),f326(f326(f151(x93833),x93832),x93834)),f326(f326(f151(x93833),x93832),f326(f136(x93833,f326(f326(f10(a913,a913,x93833),a321),f326(a323,x93831))),x93834)))
% 225.13/225.10 [9414]~P26(x94142,x94141,x94143,f241(f925(x94142,a913)),f241(f925(x94141,a913)))+E(f326(f309(x94141,x94142,f90(x94142,x94141,f241(f925(x94142,a913)),x94143)),x94144),f326(f310(x94142,x94141,x94143),x94144))
% 225.13/225.10 [9429]~P108(x94291)+P105(f326(f326(f234(x94291),f326(f326(f233(x94291),f326(f326(f238(x94291),x94292),x94293)),f326(f326(f238(x94291),x94292),x94294))),f326(f326(f238(x94291),x94292),f326(f326(f233(x94291),x94293),x94294))))
% 225.13/225.10 [9430]~P99(x94301)+P105(f326(f326(f234(x94301),f326(f326(f101(x94301),f326(f326(f102(x94301),x94302),x94303)),f326(f326(f102(x94301),x94302),x94304))),f326(f326(f102(x94301),x94302),f326(f326(f101(x94301),x94303),x94304))))
% 225.13/225.10 [9493]~P26(x94932,x94931,x94934,f241(f925(x94932,a913)),f241(f925(x94931,a913)))+E(f326(f261(x94931),f326(f326(f10(x94932,a913,x94931),x94933),f90(x94932,x94931,f241(f925(x94932,a913)),x94934))),f326(f309(x94932,x94931,x94934),f326(f261(x94932),x94933)))
% 225.13/225.10 [9507]~E(f326(f309(x95072,x95071,x95073),f241(f925(x95072,a913))),f241(f925(x95071,a913)))+P105(f326(f326(f234(f925(x95071,a913)),f326(f78(f925(x95071,a913)),f326(f309(x95072,x95071,x95073),x95074))),f326(f309(x95072,x95071,x95073),f326(f78(f925(x95072,a913)),x95074))))
% 225.13/225.10 [9839]P105(f326(f326(f328(f924(x98391,x98391)),f326(f326(f251(x98391,x98391),x98392),x98393)),f326(f285(x98391,x98391),f326(f326(f288(x98391,x98391,x98391),x98394),f306(x98391,x98394)))))+~P105(f326(f326(f328(f924(x98391,x98391)),f326(f326(f251(x98391,x98391),x98392),x98393)),f326(f326(f288(x98391,x98391,x98391),f326(f285(x98391,x98391),x98394)),f306(x98391,f326(f285(x98391,x98391),x98394)))))
% 225.13/225.10 [9840]~P105(f326(f326(f328(f924(x98401,x98401)),f326(f326(f251(x98401,x98401),x98402),x98403)),f326(f285(x98401,x98401),f326(f326(f288(x98401,x98401,x98401),x98404),f306(x98401,x98404)))))+P105(f326(f326(f328(f924(x98401,x98401)),f326(f326(f251(x98401,x98401),x98402),x98403)),f326(f326(f288(x98401,x98401,x98401),f326(f285(x98401,x98401),x98404)),f306(x98401,f326(f285(x98401,x98401),x98404)))))
% 225.13/225.10 [9861]~P105(f326(f326(f328(x98612),x98614),f326(f283(x98611,x98612),x98613)))+P105(f326(f326(f328(f924(x98611,x98612)),f326(f326(f251(x98611,x98612),f563(x98613,x98611,x98614,x98612)),x98614)),x98613))
% 225.13/225.10 [9862]~P105(f326(f326(f328(x98622),x98624),f326(f283(x98621,x98622),x98623)))+P105(f326(f326(f328(f924(x98621,x98622)),f326(f326(f251(x98621,x98622),f564(x98623,x98621,x98624,x98622)),x98624)),x98623))
% 225.13/225.10 [9888]~P105(f326(f326(f328(x98881),x98884),f326(f326(f101(f925(x98881,a913)),x98882),x98883)))+P105(f326(f326(f326(f101(f925(x98881,a913)),f326(f326(f9(x98881,f925(x98881,a913),a913),f328(x98881)),x98882)),f326(f326(f9(x98881,f925(x98881,a913),a913),f328(x98881)),x98883)),x98884))
% 225.13/225.10 [9889]~P105(f326(f326(f328(x98891),x98894),f326(f326(f102(f925(x98891,a913)),x98892),x98893)))+P105(f326(f326(f326(f102(f925(x98891,a913)),f326(f326(f9(x98891,f925(x98891,a913),a913),f328(x98891)),x98892)),f326(f326(f9(x98891,f925(x98891,a913),a913),f328(x98891)),x98893)),x98894))
% 225.13/225.10 [9969]~P105(f326(f326(f328(f924(x99691,x99691)),f326(f326(f251(x99691,x99691),x99694),x99693)),f326(f326(f288(x99691,x99691,x99691),x99692),f306(x99691,x99692))))+P105(f326(f326(f328(f924(x99691,x99691)),f326(f326(f251(x99691,x99691),f636(x99692,x99693,x99694,x99691)),x99693)),x99692))
% 225.13/225.10 [10004]P105(f326(f326(f328(x100041),x100042),f326(f326(f101(f925(x100041,a913)),x100043),x100044)))+~P105(f326(f326(f326(f101(f925(x100041,a913)),f326(f326(f9(x100041,f925(x100041,a913),a913),f328(x100041)),x100043)),f326(f326(f9(x100041,f925(x100041,a913),a913),f328(x100041)),x100044)),x100042))
% 225.13/225.10 [10005]P105(f326(f326(f328(x100051),x100052),f326(f326(f102(f925(x100051,a913)),x100053),x100054)))+~P105(f326(f326(f326(f102(f925(x100051,a913)),f326(f326(f9(x100051,f925(x100051,a913),a913),f328(x100051)),x100053)),f326(f326(f9(x100051,f925(x100051,a913),a913),f328(x100051)),x100054)),x100052))
% 225.13/225.10 [10291]P32(x102911,f326(f326(f9(x102911,f925(f924(x102911,x102911),a913),f925(x102911,a913)),f326(f326(f10(f925(x102911,f925(f925(f924(x102911,x102911),a913),a913)),f925(f925(f924(x102911,x102911),a913),f925(x102911,a913)),x102911),f9(x102911,f925(f924(x102911,x102911),a913),a913)),f326(f326(f10(f925(x102911,f924(x102911,x102911)),f925(x102911,f925(f925(f924(x102911,x102911),a913),a913)),x102911),f326(f10(f924(x102911,x102911),f925(f925(f924(x102911,x102911),a913),a913),x102911),f328(f924(x102911,x102911)))),f251(x102911,x102911)))),x102912),x102913,x102914)+~P105(f326(f326(f328(f924(f918(x102911),f918(x102911))),f326(f326(f251(f918(x102911),f918(x102911)),x102913),x102914)),f158(x102911,x102912)))
% 225.13/225.10 [10295]P58(x102951,f326(f326(f9(x102951,f925(f924(x102951,x102951),a913),f925(x102951,a913)),f326(f326(f10(f925(x102951,f925(f925(f924(x102951,x102951),a913),a913)),f925(f925(f924(x102951,x102951),a913),f925(x102951,a913)),x102951),f9(x102951,f925(f924(x102951,x102951),a913),a913)),f326(f326(f10(f925(x102951,f924(x102951,x102951)),f925(x102951,f925(f925(f924(x102951,x102951),a913),a913)),x102951),f326(f10(f924(x102951,x102951),f925(f925(f924(x102951,x102951),a913),a913),x102951),f328(f924(x102951,x102951)))),f251(x102951,x102951)))),x102952),x102953,x102954)+~P105(f326(f326(f328(f924(f925(x102951,a913),f925(x102951,a913))),f326(f326(f251(f925(x102951,a913),f925(x102951,a913)),x102953),x102954)),f317(x102951,x102952)))
% 225.13/225.10 [10330]E(x103301,x103302)+~E(f326(f326(f9(x103303,f925(f924(x103303,x103304),a913),f925(x103304,a913)),f326(f326(f10(f925(x103304,f925(f925(f924(x103303,x103304),a913),a913)),f925(f925(f924(x103303,x103304),a913),f925(x103304,a913)),x103303),f9(x103304,f925(f924(x103303,x103304),a913),a913)),f326(f326(f10(f925(x103304,f924(x103303,x103304)),f925(x103304,f925(f925(f924(x103303,x103304),a913),a913)),x103303),f326(f10(f924(x103303,x103304),f925(f925(f924(x103303,x103304),a913),a913),x103304),f328(f924(x103303,x103304)))),f251(x103303,x103304)))),x103301),f326(f326(f9(x103303,f925(f924(x103303,x103304),a913),f925(x103304,a913)),f326(f326(f10(f925(x103304,f925(f925(f924(x103303,x103304),a913),a913)),f925(f925(f924(x103303,x103304),a913),f925(x103304,a913)),x103303),f9(x103304,f925(f924(x103303,x103304),a913),a913)),f326(f326(f10(f925(x103304,f924(x103303,x103304)),f925(x103304,f925(f925(f924(x103303,x103304),a913),a913)),x103303),f326(f10(f924(x103303,x103304),f925(f925(f924(x103303,x103304),a913),a913),x103304),f328(f924(x103303,x103304)))),f251(x103303,x103304)))),x103302))
% 225.13/225.10 [10333]~P32(x103331,f326(f326(f9(x103331,f925(f924(x103331,x103331),a913),f925(x103331,a913)),f326(f326(f10(f925(x103331,f925(f925(f924(x103331,x103331),a913),a913)),f925(f925(f924(x103331,x103331),a913),f925(x103331,a913)),x103331),f9(x103331,f925(f924(x103331,x103331),a913),a913)),f326(f326(f10(f925(x103331,f924(x103331,x103331)),f925(x103331,f925(f925(f924(x103331,x103331),a913),a913)),x103331),f326(f10(f924(x103331,x103331),f925(f925(f924(x103331,x103331),a913),a913),x103331),f328(f924(x103331,x103331)))),f251(x103331,x103331)))),x103334),x103332,x103333)+P105(f326(f326(f328(f924(f918(x103331),f918(x103331))),f326(f326(f251(f918(x103331),f918(x103331)),x103332),x103333)),f158(x103331,x103334)))
% 225.13/225.10 [10334]~P58(x103341,f326(f326(f9(x103341,f925(f924(x103341,x103341),a913),f925(x103341,a913)),f326(f326(f10(f925(x103341,f925(f925(f924(x103341,x103341),a913),a913)),f925(f925(f924(x103341,x103341),a913),f925(x103341,a913)),x103341),f9(x103341,f925(f924(x103341,x103341),a913),a913)),f326(f326(f10(f925(x103341,f924(x103341,x103341)),f925(x103341,f925(f925(f924(x103341,x103341),a913),a913)),x103341),f326(f10(f924(x103341,x103341),f925(f925(f924(x103341,x103341),a913),a913),x103341),f328(f924(x103341,x103341)))),f251(x103341,x103341)))),x103344),x103342,x103343)+P105(f326(f326(f328(f924(f925(x103341,a913),f925(x103341,a913))),f326(f326(f251(f925(x103341,a913),f925(x103341,a913)),x103342),x103343)),f317(x103341,x103344)))
% 225.13/225.10 [7698]~P92(x76981)+E(f326(f326(f80(x76981),f326(f104(x76981),x76982)),f326(f326(f80(x76981),f326(f104(x76981),x76983)),x76984)),f326(f326(f80(x76981),f326(f104(x76981),f326(f326(f80(a1),x76982),x76983))),x76984))
% 225.13/225.10 [7699]~P92(x76991)+E(f326(f326(f79(x76991),f326(f104(x76991),x76992)),f326(f326(f3(x76991),f326(f104(x76991),x76993)),x76994)),f326(f326(f3(x76991),f326(f104(x76991),f326(f326(f79(a1),x76992),x76993))),x76994))
% 225.13/225.10 [7700]~P92(x77001)+E(f326(f326(f79(x77001),f326(f104(x77001),x77002)),f326(f326(f79(x77001),f326(f104(x77001),x77003)),x77004)),f326(f326(f79(x77001),f326(f104(x77001),f326(f326(f79(a1),x77002),x77003))),x77004))
% 225.13/225.10 [7741]~P145(x77411)+E(f326(f165(x77411),f326(f326(f154(x77412,x77411),f326(f18(x77411,x77412),x77413)),x77414)),f326(f326(f80(x77411),f326(f100(x77411),f326(f189(f918(x77412)),x77414))),x77413))
% 225.13/225.10 [7980]E(f326(f267(x79801,f326(f326(f151(f924(a99,x79801)),x79802),x79803)),x79804),f326(f255(a99,x79801),x79802))+~P105(f326(f326(f235(a99),x79804),f326(f250(a99,x79801),x79802)))
% 225.13/225.10 [8020]~P92(x80201)+E(f326(f326(f79(x80201),f326(f104(x80201),x80202)),f326(f326(f3(x80201),x80203),f326(f104(x80201),x80204))),f326(f326(f79(x80201),f326(f104(x80201),f326(f326(f79(a1),x80202),f326(f78(a1),x80204)))),x80203))
% 225.13/225.10 [8154]E(f326(f267(x81541,x81542),f326(f326(f3(a99),x81543),f326(f250(a99,x81541),x81544))),f326(f267(x81541,f326(f326(f151(f924(a99,x81541)),x81544),x81542)),x81543))+P105(f326(f326(f235(a99),x81543),f326(f250(a99,x81541),x81544)))
% 225.13/225.10 [8589]~P105(f326(f326(f328(x85891),x85892),f326(f172(x85891),f114(x85891,x85894))))+P105(f326(f326(f328(x85891),x85892),f326(f172(x85891),f114(x85891,f326(f326(f134(x85891),x85893),x85894)))))
% 225.13/225.10 [8590]~P105(f326(f326(f328(x85901),x85902),f326(f172(x85901),f114(x85901,x85903))))+P105(f326(f326(f328(x85901),x85902),f326(f172(x85901),f114(x85901,f326(f326(f134(x85901),x85903),x85904)))))
% 225.13/225.10 [8608]E(f326(f326(f101(f925(x86081,a913)),f326(f326(f102(f925(x86081,a913)),x86082),x86083)),x86084),f326(f326(f102(f925(x86081,a913)),x86082),f326(f326(f101(f925(x86081,a913)),x86083),x86084)))+~P105(f326(f326(f234(f925(x86081,a913)),x86084),x86082))
% 225.13/225.10 [8917]~E(f326(f326(f101(f925(x89171,a913)),f326(f326(f102(f925(x89171,a913)),x89173),x89174)),x89172),f326(f326(f102(f925(x89171,a913)),x89173),f326(f326(f101(f925(x89171,a913)),x89174),x89172)))+P105(f326(f326(f234(f925(x89171,a913)),x89172),x89173))
% 225.13/225.10 [9205]~P105(f326(f326(f234(f925(x92051,a913)),x92052),f326(f326(f101(f925(x92051,a913)),x92053),x92054)))+P105(f326(f326(f234(f925(x92051,a913)),f326(f326(f3(f925(x92051,a913)),x92052),x92053)),x92054))
% 225.13/225.10 [9320]~E(f326(f309(x93201,x93202,x93203),f241(f925(x93201,a913))),f241(f925(x93202,a913)))+E(f326(f309(x93201,x93202,x93203),f326(f309(x93202,x93201,f90(x93201,x93202,f241(f925(x93201,a913)),x93203)),x93204)),x93204)
% 225.13/225.10 [9325]P105(f326(f326(f234(f925(x93251,a913)),x93252),f326(f326(f101(f925(x93251,a913)),x93253),x93254)))+~P105(f326(f326(f234(f925(x93251,a913)),f326(f326(f3(f925(x93251,a913)),x93252),x93253)),x93254))
% 225.13/225.10 [9409]~P84(x94091)+E(f326(f75(x94091),f326(f326(f8(x94092,x94091),f326(f326(f10(x94091,x94091,x94092),f75(x94091)),x94093)),x94094)),f326(f326(f8(x94092,x94091),f326(f326(f10(x94091,x94091,x94092),f75(x94091)),x94093)),x94094))
% 225.13/225.10 [9583]~P84(x95831)+P105(f326(f326(f234(x95831),f2(x95831)),f326(f326(f8(x95832,x95831),f326(f326(f10(x95831,x95831,x95832),f75(x95831)),x95833)),x95834)))
% 225.13/225.10 [9587]~P67(x95871)+E(f326(f165(x95871),f326(f326(f154(x95872,x95871),f326(f72(x95871,x95871,x95872,f78(x95871)),x95873)),x95874)),f326(f78(x95871),f326(f165(x95871),f326(f326(f154(x95872,x95871),x95873),x95874))))
% 225.13/225.10 [9735]~P84(x97351)+P105(f326(f326(f234(x97351),f326(f75(x97351),f326(f326(f8(x97352,x97351),x97353),x97354))),f326(f326(f8(x97352,x97351),f326(f326(f10(x97351,x97351,x97352),f75(x97351)),x97353)),x97354)))
% 225.13/225.10 [9764]~E(f326(f326(f79(a917),x97641),x97644),f326(f326(f79(a917),x97643),x97642))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x97641),x97642)),f326(f326(f251(a917,a917),x97643),x97644))),a109))
% 225.13/225.10 [9765]~P105(f326(f326(f235(a917),x97651),x97653))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x97651),x97652)),f326(f326(f251(a917,a917),x97653),x97654))),a32))
% 225.13/225.10 [9766]~P105(f326(f326(f235(a917),x97661),x97663))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x97661),x97662)),f326(f326(f251(a917,a917),x97663),x97664))),a70))
% 225.13/225.10 [9913]E(f326(f326(f79(a917),x99131),x99132),f326(f326(f79(a917),x99133),x99134))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x99131),x99134)),f326(f326(f251(a917,a917),x99133),x99132))),a109))
% 225.13/225.10 [9944]E(f326(f326(f164(x99441),f326(f326(f138(x99441),f326(f189(f918(x99441)),f177(x99441,x99442,x99443))),x99443)),x99444),f326(f326(f164(x99441),x99443),f326(f326(f79(a917),x99444),f326(f189(f918(x99441)),f177(x99441,x99442,x99443)))))+~P105(f326(f326(f235(a917),x99444),f326(f189(f918(x99441)),f326(f326(f138(x99441),f326(f189(f918(x99441)),f177(x99441,x99442,x99443))),x99443))))
% 225.13/225.10 [9960]~P105(f326(f326(f328(x99602),x99604),f326(f326(f38(x99601,f925(x99602,a913)),f241(f925(x99601,a913))),x99603)))+P105(f326(f326(f326(f38(x99601,f925(x99602,a913)),f241(f925(x99601,a913))),f326(f326(f10(f925(x99602,a913),f925(x99602,a913),x99601),f326(f9(x99602,f925(x99602,a913),a913),f328(x99602))),x99603)),x99604))
% 225.13/225.10 [9961]~P105(f326(f326(f328(x99612),x99614),f326(f326(f39(x99611,f925(x99612,a913)),f241(f925(x99611,a913))),x99613)))+P105(f326(f326(f326(f39(x99611,f925(x99612,a913)),f241(f925(x99611,a913))),f326(f326(f10(f925(x99612,a913),f925(x99612,a913),x99611),f326(f9(x99612,f925(x99612,a913),a913),f328(x99612))),x99613)),x99614))
% 225.13/225.10 [10030]~P105(f326(f48(x100301,x100302),f326(f326(f251(a1,a1),x100304),x100303)))+P105(f326(f48(f326(f78(a1),x100301),x100302),f326(f326(f251(a1,a1),f326(f326(f326(f96(a1),f326(f326(a323,x100303),f2(a1))),f326(f78(a1),x100304)),f326(f326(f3(a1),f326(f78(a1),x100304)),f77(a1)))),f326(f326(f326(f96(a1),f326(f326(a323,x100303),f2(a1))),f2(a1)),f326(f326(f3(a1),x100302),x100303)))))
% 225.13/225.10 [10043]P105(f326(f326(f328(x100431),x100432),f326(f326(f38(x100433,f925(x100431,a913)),f241(f925(x100433,a913))),x100434)))+~P105(f326(f326(f326(f38(x100433,f925(x100431,a913)),f241(f925(x100433,a913))),f326(f326(f10(f925(x100431,a913),f925(x100431,a913),x100433),f326(f9(x100431,f925(x100431,a913),a913),f328(x100431))),x100434)),x100432))
% 225.13/225.10 [10044]P105(f326(f326(f328(x100441),x100442),f326(f326(f39(x100443,f925(x100441,a913)),f241(f925(x100443,a913))),x100444)))+~P105(f326(f326(f326(f39(x100443,f925(x100441,a913)),f241(f925(x100443,a913))),f326(f326(f10(f925(x100441,a913),f925(x100441,a913),x100443),f326(f9(x100441,f925(x100441,a913),a913),f328(x100441))),x100444)),x100442))
% 225.13/225.10 [10056]E(f326(f326(f38(a917,f925(x100561,a913)),f241(f925(a917,a913))),x100562),f326(f326(f38(a917,f925(x100561,a913)),f241(f925(a917,a913))),x100563))+~E(f326(f326(f38(a917,f925(x100561,a913)),f326(f301(a917,f2(a917)),f511(x100562,x100564,x100563,x100561))),x100563),f326(f326(f38(a917,f925(x100561,a913)),f326(f301(a917,f2(a917)),f326(f326(f79(a917),f511(x100562,x100564,x100563,x100561)),x100564))),x100562))
% 225.13/225.10 [10411]~P105(f326(f326(f234(f925(f924(x104111,x104112),a913)),x104113),x104114))+P105(f326(f326(f234(f925(x104111,f925(x104112,a913))),f326(f326(f9(x104111,f925(f924(x104111,x104112),a913),f925(x104112,a913)),f326(f326(f10(f925(x104112,f925(f925(f924(x104111,x104112),a913),a913)),f925(f925(f924(x104111,x104112),a913),f925(x104112,a913)),x104111),f9(x104112,f925(f924(x104111,x104112),a913),a913)),f326(f326(f10(f925(x104112,f924(x104111,x104112)),f925(x104112,f925(f925(f924(x104111,x104112),a913),a913)),x104111),f326(f10(f924(x104111,x104112),f925(f925(f924(x104111,x104112),a913),a913),x104112),f328(f924(x104111,x104112)))),f251(x104111,x104112)))),x104113)),f326(f326(f9(x104111,f925(f924(x104111,x104112),a913),f925(x104112,a913)),f326(f326(f10(f925(x104112,f925(f925(f924(x104111,x104112),a913),a913)),f925(f925(f924(x104111,x104112),a913),f925(x104112,a913)),x104111),f9(x104112,f925(f924(x104111,x104112),a913),a913)),f326(f326(f10(f925(x104112,f924(x104111,x104112)),f925(x104112,f925(f925(f924(x104111,x104112),a913),a913)),x104111),f326(f10(f924(x104111,x104112),f925(f925(f924(x104111,x104112),a913),a913),x104112),f328(f924(x104111,x104112)))),f251(x104111,x104112)))),x104114)))
% 225.13/225.10 [10427]P105(f326(f326(f234(f925(f924(x104271,x104272),a913)),x104273),x104274))+~P105(f326(f326(f234(f925(x104271,f925(x104272,a913))),f326(f326(f9(x104271,f925(f924(x104271,x104272),a913),f925(x104272,a913)),f326(f326(f10(f925(x104272,f925(f925(f924(x104271,x104272),a913),a913)),f925(f925(f924(x104271,x104272),a913),f925(x104272,a913)),x104271),f9(x104272,f925(f924(x104271,x104272),a913),a913)),f326(f326(f10(f925(x104272,f924(x104271,x104272)),f925(x104272,f925(f925(f924(x104271,x104272),a913),a913)),x104271),f326(f10(f924(x104271,x104272),f925(f925(f924(x104271,x104272),a913),a913),x104272),f328(f924(x104271,x104272)))),f251(x104271,x104272)))),x104273)),f326(f326(f9(x104271,f925(f924(x104271,x104272),a913),f925(x104272,a913)),f326(f326(f10(f925(x104272,f925(f925(f924(x104271,x104272),a913),a913)),f925(f925(f924(x104271,x104272),a913),f925(x104272,a913)),x104271),f9(x104272,f925(f924(x104271,x104272),a913),a913)),f326(f326(f10(f925(x104272,f924(x104271,x104272)),f925(x104272,f925(f925(f924(x104271,x104272),a913),a913)),x104271),f326(f10(f924(x104271,x104272),f925(f925(f924(x104271,x104272),a913),a913),x104272),f328(f924(x104271,x104272)))),f251(x104271,x104272)))),x104274)))
% 225.13/225.10 [9456]~P105(f326(f326(f328(f924(x94561,x94561)),x94562),f306(x94561,x94564)))+P105(f326(f326(f328(f924(x94561,x94561)),x94562),f306(x94561,f326(f326(f101(f925(f924(x94561,x94561),a913)),x94563),x94564))))
% 225.13/225.10 [9457]~P105(f326(f326(f328(f924(x94571,x94571)),x94572),f306(x94571,x94573)))+P105(f326(f326(f328(f924(x94571,x94571)),x94572),f306(x94571,f326(f326(f101(f925(f924(x94571,x94571),a913)),x94573),x94574))))
% 225.13/225.10 [10143]~P105(f326(f326(f234(a917),f326(f326(f79(a917),x101431),x101434)),f326(f326(f79(a917),x101433),x101432)))+P105(f326(f326(f234(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x101431),x101432)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x101433),x101434)),f188(f925(f924(a917,a917),a913)))))))
% 225.13/225.10 [10144]~P105(f326(f326(f235(a917),f326(f326(f79(a917),x101441),x101444)),f326(f326(f79(a917),x101443),x101442)))+P105(f326(f326(f235(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x101441),x101442)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x101443),x101444)),f188(f925(f924(a917,a917),a913)))))))
% 225.13/225.10 [10232]P105(f326(f326(f234(a917),f326(f326(f79(a917),x102321),x102322)),f326(f326(f79(a917),x102323),x102324)))+~P105(f326(f326(f234(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x102321),x102324)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x102323),x102322)),f188(f925(f924(a917,a917),a913)))))))
% 225.13/225.10 [10233]P105(f326(f326(f235(a917),f326(f326(f79(a917),x102331),x102332)),f326(f326(f79(a917),x102333),x102334)))+~P105(f326(f326(f235(a1),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x102331),x102334)),f188(f925(f924(a917,a917),a913)))))),f326(a88,f326(f284(f924(a917,a917),f924(a917,a917),a109),f326(f326(f308(f924(a917,a917)),f326(f326(f251(a917,a917),x102333),x102332)),f188(f925(f924(a917,a917),a913)))))))
% 225.13/225.10 [10277]P105(f326(f326(f234(f925(x102771,a913)),f326(f326(f38(a917,f925(x102771,a913)),f241(f925(a917,a913))),x102772)),f326(f326(f38(a917,f925(x102771,a913)),f241(f925(a917,a913))),x102773)))+~P105(f326(f326(f234(f925(x102771,a913)),f326(f326(f38(a917,f925(x102771,a913)),f326(f301(a917,f2(a917)),f512(x102773,x102774,x102772,x102771))),x102772)),f326(f326(f38(a917,f925(x102771,a913)),f326(f301(a917,f2(a917)),f326(f326(f79(a917),f512(x102773,x102774,x102772,x102771)),x102774))),x102773)))
% 225.13/225.10 [10337]P105(f326(f326(f234(a99),x103374),f2(a99)))+E(f326(f326(f258(f924(a99,a99),f924(x103371,f925(a920,a322)),f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99))),f326(x103372,x103373)),f326(f326(f10(f925(f925(a99,f925(a913,f921(f919(x103371)))),f925(f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99)))),f925(f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99))),f924(x103371,f925(a920,a322))),f326(f258(f924(a99,a99),f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99))),f276(x103371,x103372,f326(f326(f3(a99),x103374),f77(a99)),x103373))),f326(f326(f10(f925(f925(a99,f925(a913,f921(f919(x103371)))),f925(a99,f925(a913,f921(f919(x103371))))),f925(f925(a99,f925(a913,f921(f919(x103371)))),f925(f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99)))),f924(x103371,f925(a920,a322))),f326(f10(f925(a99,f925(a913,f921(f919(x103371)))),f925(f924(a99,a99),f924(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99))),f925(a99,f925(a913,f921(f919(x103371))))),f251(f925(a99,f925(a913,f921(f919(x103371)))),f924(a99,a99)))),f326(f326(f10(f925(a99,f925(a913,f921(f919(x103371)))),f925(f925(a99,f925(a913,f921(f919(x103371)))),f925(a99,f925(a913,f921(f919(x103371))))),f924(x103371,f925(a920,a322))),f43(x103371)),f326(f326(f10(x103371,f925(a99,f925(a913,f921(f919(x103371)))),f924(x103371,f925(a920,a322))),f41(x103371)),f250(x103371,f925(a920,a322))))))),f276(x103371,x103372,x103374,x103373))
% 225.13/225.10 [10400]~P105(f326(f326(f328(x104002),x104004),f326(f283(x104001,x104002),x104003)))+P105(f326(f249(x104001,x104002,f326(f326(f9(x104001,f925(f924(x104001,x104002),a913),f925(x104002,a913)),f326(f326(f10(f925(x104002,f925(f925(f924(x104001,x104002),a913),a913)),f925(f925(f924(x104001,x104002),a913),f925(x104002,a913)),x104001),f9(x104002,f925(f924(x104001,x104002),a913),a913)),f326(f326(f10(f925(x104002,f924(x104001,x104002)),f925(x104002,f925(f925(f924(x104001,x104002),a913),a913)),x104001),f326(f10(f924(x104001,x104002),f925(f925(f924(x104001,x104002),a913),a913),x104002),f328(f924(x104001,x104002)))),f251(x104001,x104002)))),x104003)),x104004))
% 225.13/225.10 [10401]~P105(f326(f326(f328(x104011),x104014),f326(f263(x104011,x104012),x104013)))+P105(f326(f248(x104011,x104012,f326(f326(f9(x104011,f925(f924(x104011,x104012),a913),f925(x104012,a913)),f326(f326(f10(f925(x104012,f925(f925(f924(x104011,x104012),a913),a913)),f925(f925(f924(x104011,x104012),a913),f925(x104012,a913)),x104011),f9(x104012,f925(f924(x104011,x104012),a913),a913)),f326(f326(f10(f925(x104012,f924(x104011,x104012)),f925(x104012,f925(f925(f924(x104011,x104012),a913),a913)),x104011),f326(f10(f924(x104011,x104012),f925(f925(f924(x104011,x104012),a913),a913),x104012),f328(f924(x104011,x104012)))),f251(x104011,x104012)))),x104013)),x104014))
% 225.13/225.10 [10414]P105(f326(f326(f328(x104141),x104142),f326(f283(x104143,x104141),x104144)))+~P105(f326(f249(x104143,x104141,f326(f326(f9(x104143,f925(f924(x104143,x104141),a913),f925(x104141,a913)),f326(f326(f10(f925(x104141,f925(f925(f924(x104143,x104141),a913),a913)),f925(f925(f924(x104143,x104141),a913),f925(x104141,a913)),x104143),f9(x104141,f925(f924(x104143,x104141),a913),a913)),f326(f326(f10(f925(x104141,f924(x104143,x104141)),f925(x104141,f925(f925(f924(x104143,x104141),a913),a913)),x104143),f326(f10(f924(x104143,x104141),f925(f925(f924(x104143,x104141),a913),a913),x104141),f328(f924(x104143,x104141)))),f251(x104143,x104141)))),x104144)),x104142))
% 225.13/225.10 [10415]P105(f326(f326(f328(x104151),x104152),f326(f263(x104151,x104153),x104154)))+~P105(f326(f248(x104151,x104153,f326(f326(f9(x104151,f925(f924(x104151,x104153),a913),f925(x104153,a913)),f326(f326(f10(f925(x104153,f925(f925(f924(x104151,x104153),a913),a913)),f925(f925(f924(x104151,x104153),a913),f925(x104153,a913)),x104151),f9(x104153,f925(f924(x104151,x104153),a913),a913)),f326(f326(f10(f925(x104153,f924(x104151,x104153)),f925(x104153,f925(f925(f924(x104151,x104153),a913),a913)),x104151),f326(f10(f924(x104151,x104153),f925(f925(f924(x104151,x104153),a913),a913),x104153),f328(f924(x104151,x104153)))),f251(x104151,x104153)))),x104154)),x104152))
% 225.13/225.10 [10067]P105(f326(f160(x100671,x100672),x100673))+~P105(f326(f160(x100671,f326(f326(f20(x100671,a913,a913),f326(f326(f10(a913,f925(a913,a913),x100671),a324),x100674)),x100672)),x100673))
% 225.13/225.10 [10068]P105(f326(f160(x100681,x100682),x100683))+~P105(f326(f160(x100681,f326(f326(f20(x100681,a913,a913),f326(f326(f10(a913,f925(a913,a913),x100681),a324),x100682)),x100684)),x100683))
% 225.13/225.10 [10155]~P120(x101551)+E(f326(f326(f80(x101551),f326(f326(f79(x101551),f77(x101551)),f77(x101551))),f326(f326(f8(a917,x101551),f326(f326(f10(x101551,x101551,a917),f326(f79(x101551),x101552)),f326(f326(f9(a917,x101551,x101551),f326(f326(f10(x101551,f925(x101551,x101551),a917),f80(x101551)),f100(x101551))),x101553))),f326(f281(a917),x101554))),f326(f326(f80(x101551),f326(f100(x101551),x101554)),f326(f326(f79(x101551),x101552),f326(f326(f79(x101551),x101552),f326(f326(f80(x101551),f326(f100(x101551),f326(f326(f3(a917),x101554),f77(a917)))),x101553)))))
% 225.13/225.10 [10298]P105(f326(x102981,f573(x102982,x102983,x102984,x102981)))+P37(x102982,f326(f261(f924(x102982,x102982)),f326(f256(x102982,x102982,a913),f326(f326(f10(f925(x102982,a913),f925(x102982,a913),x102982),f326(f20(x102982,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102982),a324),x102981))),f326(f326(f9(x102982,f925(x102982,x102982),f925(x102982,a913)),f326(f326(f10(f925(x102982,a913),f925(f925(x102982,x102982),f925(x102982,a913)),x102982),f10(x102982,a913,x102982)),a323)),x102983)))))
% 225.13/225.10 [10312]~P105(f326(f326(f235(a917),f326(x103124,f326(x103123,f573(x103121,x103123,x103124,x103122)))),f326(x103124,f573(x103121,x103123,x103124,x103122))))+P37(x103121,f326(f261(f924(x103121,x103121)),f326(f256(x103121,x103121,a913),f326(f326(f10(f925(x103121,a913),f925(x103121,a913),x103121),f326(f20(x103121,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103121),a324),x103122))),f326(f326(f9(x103121,f925(x103121,x103121),f925(x103121,a913)),f326(f326(f10(f925(x103121,a913),f925(f925(x103121,x103121),f925(x103121,a913)),x103121),f10(x103121,a913,x103121)),a323)),x103123)))))
% 225.13/225.10 [10385]~P5(x103851)+E(f36(x103851,f326(f261(x103851),f326(f326(f10(f925(f925(x103852,x103851),a913),a913,x103851),f86(f925(x103852,x103851))),f326(f326(f10(f925(f925(x103852,x103851),a913),f925(f925(x103852,x103851),a913),x103851),f326(f20(f925(x103852,x103851),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x103852,x103851)),a324),f326(f326(f9(f925(x103852,x103851),f925(f925(x103852,x103851),a913),a913),f328(f925(x103852,x103851))),x103853)))),f326(f326(f9(x103851,f925(f925(x103852,x103851),x103851),f925(f925(x103852,x103851),a913)),f326(f326(f10(f925(x103851,a913),f925(f925(f925(x103852,x103851),x103851),f925(f925(x103852,x103851),a913)),x103851),f10(x103851,a913,f925(x103852,x103851))),a323)),f326(f326(f9(f925(x103852,x103851),x103852,x103851),f7(f925(x103852,x103851))),x103854)))))),f326(f36(f925(x103852,x103851),x103853),x103854))
% 225.13/225.10 [10386]~P5(x103861)+E(f36(x103861,f326(f261(x103861),f326(f326(f10(f925(f925(x103862,x103861),a913),a913,x103861),f86(f925(x103862,x103861))),f326(f326(f10(f925(f925(x103862,x103861),a913),f925(f925(x103862,x103861),a913),x103861),f326(f20(f925(x103862,x103861),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x103862,x103861)),a324),f326(f326(f9(f925(x103862,x103861),f925(f925(x103862,x103861),a913),a913),f328(f925(x103862,x103861))),x103863)))),f326(f326(f9(x103861,f925(f925(x103862,x103861),x103861),f925(f925(x103862,x103861),a913)),f326(f326(f10(f925(x103861,a913),f925(f925(f925(x103862,x103861),x103861),f925(f925(x103862,x103861),a913)),x103861),f10(x103861,a913,f925(x103862,x103861))),a323)),f326(f326(f9(f925(x103862,x103861),x103862,x103861),f7(f925(x103862,x103861))),x103864)))))),f326(f36(f925(x103862,x103861),x103863),x103864))
% 225.13/225.10 [10387]~P5(x103871)+E(f37(x103871,f326(f261(x103871),f326(f326(f10(f925(f925(x103872,x103871),a913),a913,x103871),f86(f925(x103872,x103871))),f326(f326(f10(f925(f925(x103872,x103871),a913),f925(f925(x103872,x103871),a913),x103871),f326(f20(f925(x103872,x103871),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x103872,x103871)),a324),f326(f326(f9(f925(x103872,x103871),f925(f925(x103872,x103871),a913),a913),f328(f925(x103872,x103871))),x103873)))),f326(f326(f9(x103871,f925(f925(x103872,x103871),x103871),f925(f925(x103872,x103871),a913)),f326(f326(f10(f925(x103871,a913),f925(f925(f925(x103872,x103871),x103871),f925(f925(x103872,x103871),a913)),x103871),f10(x103871,a913,f925(x103872,x103871))),a323)),f326(f326(f9(f925(x103872,x103871),x103872,x103871),f7(f925(x103872,x103871))),x103874)))))),f326(f37(f925(x103872,x103871),x103873),x103874))
% 225.13/225.10 [10388]~P5(x103881)+E(f37(x103881,f326(f261(x103881),f326(f326(f10(f925(f925(x103882,x103881),a913),a913,x103881),f86(f925(x103882,x103881))),f326(f326(f10(f925(f925(x103882,x103881),a913),f925(f925(x103882,x103881),a913),x103881),f326(f20(f925(x103882,x103881),a913,a913),f326(f326(f10(a913,f925(a913,a913),f925(x103882,x103881)),a324),f326(f326(f9(f925(x103882,x103881),f925(f925(x103882,x103881),a913),a913),f328(f925(x103882,x103881))),x103883)))),f326(f326(f9(x103881,f925(f925(x103882,x103881),x103881),f925(f925(x103882,x103881),a913)),f326(f326(f10(f925(x103881,a913),f925(f925(f925(x103882,x103881),x103881),f925(f925(x103882,x103881),a913)),x103881),f10(x103881,a913,f925(x103882,x103881))),a323)),f326(f326(f9(f925(x103882,x103881),x103882,x103881),f7(f925(x103882,x103881))),x103884)))))),f326(f37(f925(x103882,x103881),x103883),x103884))
% 225.13/225.10 [10440]~P105(f326(f326(f328(f924(x104401,x104401)),f326(f326(f251(x104401,x104401),x104403),x104404)),f326(f326(f101(f925(f924(x104401,x104401),a913)),x104402),f306(x104401,f188(f925(f924(x104401,x104401),a913))))))+P105(f326(f326(f326(f326(f101(f925(x104401,f925(x104401,a913))),f326(f326(f9(x104401,f925(f924(x104401,x104401),a913),f925(x104401,a913)),f326(f326(f10(f925(x104401,f925(f925(f924(x104401,x104401),a913),a913)),f925(f925(f924(x104401,x104401),a913),f925(x104401,a913)),x104401),f9(x104401,f925(f924(x104401,x104401),a913),a913)),f326(f326(f10(f925(x104401,f924(x104401,x104401)),f925(x104401,f925(f925(f924(x104401,x104401),a913),a913)),x104401),f326(f10(f924(x104401,x104401),f925(f925(f924(x104401,x104401),a913),a913),x104401),f328(f924(x104401,x104401)))),f251(x104401,x104401)))),x104402)),a323),x104403),x104404))
% 225.13/225.10 [10450]P105(f326(f326(f328(f924(x104501,x104501)),f326(f326(f251(x104501,x104501),x104502),x104503)),f326(f326(f101(f925(f924(x104501,x104501),a913)),x104504),f306(x104501,f188(f925(f924(x104501,x104501),a913))))))+~P105(f326(f326(f326(f326(f101(f925(x104501,f925(x104501,a913))),f326(f326(f9(x104501,f925(f924(x104501,x104501),a913),f925(x104501,a913)),f326(f326(f10(f925(x104501,f925(f925(f924(x104501,x104501),a913),a913)),f925(f925(f924(x104501,x104501),a913),f925(x104501,a913)),x104501),f9(x104501,f925(f924(x104501,x104501),a913),a913)),f326(f326(f10(f925(x104501,f924(x104501,x104501)),f925(x104501,f925(f925(f924(x104501,x104501),a913),a913)),x104501),f326(f10(f924(x104501,x104501),f925(f925(f924(x104501,x104501),a913),a913),x104501),f328(f924(x104501,x104501)))),f251(x104501,x104501)))),x104504)),a323),x104502),x104503))
% 225.13/225.10 [10396]E(f326(f326(f151(f918(x103961)),f326(f326(f151(x103961),x103962),f326(f142(f918(x103961),f918(x103961),f134(x103961),f113(x103961)),f326(f326(f154(f918(x103961),f918(x103961)),f156(f918(x103961),x103961,f113(x103961),f326(f326(f10(f918(x103961),f925(f918(x103961),f918(x103961)),x103961),f18(f918(x103961),f918(x103961))),f326(f326(f9(x103961,f918(x103961),f918(x103961)),f151(x103961)),f113(x103961))))),x103963)))),f179(x103961,f326(f326(f151(f918(x103961)),x103964),f326(f142(f918(f918(x103961)),f918(f918(x103961)),f134(f918(x103961)),f113(f918(x103961))),f326(f326(f154(f918(x103961),f918(f918(x103961))),f156(f918(f918(x103961)),x103961,f113(f918(x103961)),f326(f18(f925(f918(x103961),f918(f918(x103961))),x103961),f326(f326(f9(f918(x103961),f918(f918(x103961)),f918(f918(x103961))),f151(f918(x103961))),f113(f918(x103961)))))),x103963))))),f179(x103961,f326(f326(f151(f918(x103961)),f326(f326(f151(x103961),x103962),x103964)),x103963)))+~P105(f326(f314(f918(f918(x103961)),f180(x103961)),f326(f326(f151(f918(x103961)),f326(f326(f151(x103961),x103962),x103964)),x103963)))
% 225.13/225.10 [10439]~P105(f326(f60(x104392),f326(f261(x104392),x104394)))+P105(f326(f60(x104391),f326(f261(x104391),f326(f326(f10(f925(x104392,a913),a913,x104391),f86(x104392)),f326(f326(f9(x104391,f925(x104392,a913),f925(x104392,a913)),f326(f326(f10(f925(x104392,f925(a913,a913)),f925(f925(x104392,a913),f925(x104392,a913)),x104391),f20(x104392,a913,a913)),f326(f326(f10(f925(x104392,a913),f925(x104392,f925(a913,a913)),x104391),f326(f10(a913,f925(a913,a913),x104392),a324)),f326(f326(f9(x104391,f925(x104392,x104391),f925(x104392,a913)),f326(f326(f10(f925(x104391,a913),f925(f925(x104392,x104391),f925(x104392,a913)),x104391),f10(x104391,a913,x104392)),a323)),x104393)))),x104394)))))
% 225.13/225.10 [8955]P25(x89551,x89552,x89553,x89554)+~P26(x89551,x89552,x89553,x89554,x89555)
% 225.13/225.10 [5452]E(x54521,x54522)+~E(f169(x54523,x54521,x54524),f169(x54523,x54522,x54525))
% 225.13/225.10 [5453]E(x54531,x54532)+~E(f126(x54533,x54534,x54531),f126(x54533,x54535,x54532))
% 225.13/225.10 [5454]E(x54541,x54542)+~E(f126(x54543,x54541,x54544),f126(x54543,x54542,x54545))
% 225.13/225.10 [8286]~E(f326(x82863,x82864),x82865)+E(f74(x82861,x82862,x82863,x82864,x82865),x82863)
% 225.13/225.10 [8813]~E(f74(x88134,x88135,x88131,x88132,x88133),x88131)+E(f326(x88131,x88132),x88133)
% 225.13/225.10 [9427]~P26(x94272,x94271,x94274,x94273,x94275)+P26(x94271,x94272,f76(x94272,x94271,x94273,x94274),x94275,x94273)
% 225.13/225.10 [9428]~P26(x94282,x94281,x94284,x94283,x94285)+P26(x94281,x94282,f90(x94282,x94281,x94283,x94284),x94285,x94283)
% 225.13/225.10 [6265]P105(f326(f249(x62651,x62652,x62653),x62654))+~P105(f326(f326(x62653,x62655),x62654))
% 225.13/225.10 [6267]P105(f326(f248(x62671,x62672,x62673),x62674))+~P105(f326(f326(x62673,x62674),x62675))
% 225.13/225.10 [6741]~E(x67415,f2(a99))+E(f326(f196(x67411,x67412,x67413,x67414),x67415),f124(x67412))
% 225.13/225.10 [6742]~E(x67425,f2(a99))+E(f326(f198(x67421,x67422,x67423,x67424),x67425),f115(x67422))
% 225.13/225.10 [6880]~E(x68803,f2(a99))+E(f326(f272(x68801,x68802,x68803,x68804),x68805),f326(f251(x68801,x68802),x68805))
% 225.13/225.10 [7936]~P20(x79364,x79361,x79362,x79365)+E(f326(f72(x79361,x79361,x79361,f326(x79362,x79363)),f326(x79362,x79363)),f326(x79362,x79363))
% 225.13/225.10 [8326]~P16(x83265,x83261,x83262)+E(f326(f72(x83261,x83261,x83261,f326(x83262,x83263)),f326(x83262,x83264)),f326(f72(x83261,x83261,x83261,f326(x83262,x83264)),f326(x83262,x83263)))
% 225.13/225.10 [8648]P105(f326(f326(f328(f924(x86481,x86481)),f326(f326(f251(x86481,x86481),x86482),x86483)),f320(x86481,x86484,x86485)))+~P105(f326(f326(f235(a917),f326(x86484,x86482)),f326(x86484,x86483)))
% 225.13/225.10 [8741]~P105(f326(f326(f328(x87414),x87413),f298(x87414,x87411,x87412,x87415)))+P105(f326(f326(x87411,x87412),x87413))
% 225.13/225.10 [8742]~P105(f326(f326(f328(x87424),x87423),f289(x87424,x87421,x87422,x87425)))+P105(f326(f326(x87421,x87422),x87423))
% 225.13/225.10 [8743]~P105(f326(f326(f328(x87434),x87432),f298(x87434,x87431,x87435,x87433)))+P105(f326(f326(x87431,x87432),x87433))
% 225.13/225.10 [8744]~P105(f326(f326(f328(x87444),x87442),f289(x87444,x87441,x87445,x87443)))+P105(f326(f326(x87441,x87442),x87443))
% 225.13/225.10 [8825]~P26(x88251,x88253,x88255,x88252,x88254)+E(f326(f34(x88251),x88252),f326(f34(x88253),x88254))
% 225.13/225.10 [8873]~P26(x88731,x88732,x88733,x88734,x88735)+E(f326(f309(x88731,x88732,x88733),x88734),x88735)
% 225.13/225.10 [8893]~P56(x88932,x88931,x88935,x88933,x88934)+E(f326(f309(x88931,x88932,x88933),x88934),f241(f925(x88932,a913)))
% 225.13/225.10 [9337]~P34(x93371,x93372,x93373,x93374,x93375)+P34(x93371,x93372,x93373,f326(f168(x93371),x93374),f326(f168(x93372),x93375))
% 225.13/225.10 [9339]~P34(x93391,x93392,x93393,f326(f168(x93391),x93394),x93395)+P34(x93391,x93392,x93393,x93394,f326(f168(x93392),x93395))
% 225.13/225.10 [9340]~P34(x93401,x93402,x93403,x93404,f326(f168(x93402),x93405))+P34(x93401,x93402,x93403,f326(f168(x93401),x93404),x93405)
% 225.13/225.10 [9346]P34(x93461,x93462,x93463,x93464,x93465)+~P34(x93461,x93462,x93463,f326(f168(x93461),x93464),f326(f168(x93462),x93465))
% 225.13/225.10 [9754]P105(f326(f326(f328(f924(f918(x97541),f918(x97541))),f326(f326(f251(f918(x97541),f918(x97541)),f326(f326(f151(x97541),x97542),x97543)),f326(f326(f151(x97541),x97542),x97544))),f157(x97541,x97545)))+~P105(f326(f326(f328(f924(f918(x97541),f918(x97541))),f326(f326(f251(f918(x97541),f918(x97541)),x97543),x97544)),f157(x97541,x97545)))
% 225.13/225.10 [9755]P105(f326(f326(f328(f924(f918(x97551),f918(x97551))),f326(f326(f251(f918(x97551),f918(x97551)),f326(f326(f134(x97551),x97552),x97553)),f326(f326(f134(x97551),x97552),x97554))),f147(x97551,x97555)))+~P105(f326(f326(f328(f924(f918(x97551),f918(x97551))),f326(f326(f251(f918(x97551),f918(x97551)),x97553),x97554)),f147(x97551,x97555)))
% 225.13/225.10 [9951]E(f326(f326(f151(x99511),f653(x99512,x99513,x99514,x99515,x99511)),f655(x99512,x99513,x99514,x99515,x99511)),x99515)+~P105(f326(f326(f328(f924(f918(x99511),f918(x99511))),f326(f326(f251(f918(x99511),f918(x99511)),x99515),f326(f326(f151(x99511),x99514),x99513))),f158(x99511,x99512)))
% 225.13/225.10 [9972]E(f326(f326(f151(x99721),f656(x99722,x99723,x99724,x99725,x99721)),f657(x99722,x99723,x99724,x99725,x99721)),x99723)+~P105(f326(f326(f328(f924(f918(x99721),f918(x99721))),f326(f326(f251(f918(x99721),f918(x99721)),f326(f326(f151(x99721),x99725),x99724)),x99723)),f158(x99721,x99722)))
% 225.13/225.10 [10118]~P105(f326(f326(f328(f924(f918(x101181),f918(x101181))),f326(f326(f251(f918(x101181),f918(x101181)),f326(f326(f151(x101181),x101185),x101182)),x101184)),f158(x101181,x101183)))+P105(f326(f326(f328(f924(f918(x101181),f918(x101181))),f326(f326(f251(f918(x101181),f918(x101181)),x101182),f657(x101183,x101184,x101182,x101185,x101181))),f158(x101181,x101183)))
% 225.13/225.10 [10199]~P105(f326(f326(f328(f924(f918(x101991),f918(x101991))),f326(f326(f251(f918(x101991),f918(x101991)),x101995),f326(f326(f151(x101991),x101994),x101993))),f158(x101991,x101992)))+P105(f326(f326(f328(f924(f918(x101991),f918(x101991))),f326(f326(f251(f918(x101991),f918(x101991)),f655(x101992,x101993,x101994,x101995,x101991)),x101993)),f158(x101991,x101992)))
% 225.13/225.10 [10389]P105(f326(f326(f328(f924(x103891,x103891)),f326(f326(f251(x103891,x103891),f326(x103892,f326(f326(f79(a917),x103893),x103894))),f326(x103892,x103893))),f306(x103891,x103895)))+~P105(f326(f326(f328(f924(x103891,x103891)),f326(f326(f251(x103891,x103891),f326(x103892,f326(a112,f616(x103894,x103893,x103895,x103892,x103891)))),f326(x103892,f616(x103894,x103893,x103895,x103892,x103891)))),f306(x103891,x103895)))
% 225.13/225.10 [5420]E(x54201,x54202)+~E(f326(f326(f151(x54203),x54204),x54201),f326(f326(f151(x54203),x54205),x54202))
% 225.13/225.10 [5421]E(x54211,x54212)+~E(f326(f326(f151(x54213),x54211),x54214),f326(f326(f151(x54213),x54212),x54215))
% 225.13/225.10 [5469]P105(f326(x54691,x54692))+~E(f326(f136(x54693,x54691),x54694),f326(f326(f151(x54693),x54692),x54695))
% 225.13/225.10 [5470]P105(f326(x54701,x54702))+~E(f326(f326(f151(x54703),x54702),x54704),f326(f136(x54703,x54701),x54705))
% 225.13/225.10 [5629]~E(f326(f326(f138(x56291),x56293),x56292),f326(f326(f151(x56291),x56294),x56295))+E(f326(f326(f164(x56291),x56292),x56293),x56294)
% 225.13/225.10 [5768]~P14(x57684,x57685,x57681)+E(f326(f326(x57681,x57682),f326(f326(x57681,x57682),x57683)),f326(f326(x57681,x57682),x57683))
% 225.13/225.10 [6323]~E(x63234,f2(a99))+E(f326(f326(f117(x63231,x63232,x63233),x63234),x63235),f326(f326(f251(f918(x63232),x63231),f113(x63232)),x63235))
% 225.13/225.10 [6394]~P108(x63942)+~E(f326(f326(f148(x63941,x63942,x63943),x63944),x63945),f113(x63941))
% 225.13/225.10 [6781]E(x67811,x67812)+~E(f326(f326(f134(x67813),x67814),f326(f326(f151(x67813),x67811),f113(x67813))),f326(f326(f134(x67813),x67815),f326(f326(f151(x67813),x67812),f113(x67813))))
% 225.13/225.10 [6782]E(x67821,x67822)+~E(f326(f326(f134(x67823),x67821),f326(f326(f151(x67823),x67824),f113(x67823))),f326(f326(f134(x67823),x67822),f326(f326(f151(x67823),x67825),f113(x67823))))
% 225.13/225.10 [7098]E(f326(f326(f308(x70981),f326(x70982,x70983)),f326(f309(x70984,x70981,x70982),x70985)),f326(f309(x70984,x70981,x70982),x70985))+~P105(f326(f326(f328(x70984),x70983),x70985))
% 225.13/225.10 [7104]~P105(f326(x71044,f326(x71043,x71045)))+P105(f326(f326(f310(x71041,x71042,x71043),x71044),x71045))
% 225.13/225.10 [7107]~P105(f326(f326(x71073,x71075),x71074))+P105(f326(f326(f242(x71071,x71072,x71073),x71074),x71075))
% 225.13/225.10 [7202]~E(f326(f309(x72021,x72022,x72023),x72024),x72025)+E(f326(f309(f925(x72021,a913),f925(x72022,a913),f309(x72021,x72022,x72023)),f326(f307(x72021),x72024)),f326(f307(x72022),x72025))
% 225.13/225.10 [7230]E(f326(f270(x72301,x72302,x72303,x72304),x72305),f326(x72304,x72305))+~P105(f326(f326(f328(x72301),x72305),x72303))
% 225.13/225.10 [7547]P25(x75471,x75472,x75473,x75474)+~P25(x75471,x75472,x75473,f326(f326(f308(x75471),x75475),x75474))
% 225.13/225.10 [7612]P105(f326(x76121,x76122))+~P105(f326(f326(f92(x76123,x76124,x76121),x76125),x76122))
% 225.13/225.10 [7653]~P105(f326(f326(f328(x76534),x76533),x76535))+P105(f326(f326(f328(x76531),f326(x76532,x76533)),f326(f309(x76534,x76531,x76532),x76535)))
% 225.13/225.10 [7674]~P108(x76742)+E(f150(x76741,x76742,x76743,f326(f136(x76741,x76744),x76745)),f326(f136(x76741,x76744),f150(x76741,x76742,x76743,x76745)))
% 225.13/225.10 [7704]P105(f326(x77041,f326(x77042,x77043)))+~P105(f326(f326(f310(x77044,x77045,x77042),x77041),x77043))
% 225.13/225.10 [7707]P105(f326(f326(x77071,x77072),x77073))+~P105(f326(f326(f242(x77074,x77075,x77071),x77073),x77072))
% 225.13/225.10 [7708]P105(f326(f326(x77081,x77082),x77083))+~P105(f326(f326(f92(x77084,x77081,x77085),x77082),x77083))
% 225.13/225.10 [7771]~P105(f326(f326(f328(x77713),f326(x77714,x77712)),x77715))+P105(f326(f326(f328(x77711),x77712),f326(f310(x77711,x77713,x77714),x77715)))
% 225.13/225.10 [8168]~P105(f326(f326(f328(x81685),x81683),f326(f310(x81685,x81681,x81682),x81684)))+P105(f326(f326(f328(x81681),f326(x81682,x81683)),x81684))
% 225.13/225.10 [8465]~P16(x84652,x84651,x84653)+E(f326(f142(x84651,x84652,f326(f9(x84652,x84651,x84651),x84653),x84654),f152(x84652,x84655)),f326(f326(f63(x84652,x84651,x84653),x84654),f326(f172(x84652),x84655)))
% 225.13/225.10 [8487]E(f326(x84871,f352(x84872,x84871,x84873,x84874)),x84874)+~P105(f326(f326(f328(x84875),x84874),f326(f309(x84873,x84875,x84871),x84872)))
% 225.13/225.10 [8788]~E(x87882,f326(f326(f151(x87881),x87884),x87885))+P105(f326(f326(f328(f924(f918(x87881),f918(x87881))),f326(f326(f251(f918(x87881),f918(x87881)),f113(x87881)),x87882)),f147(x87881,x87883)))
% 225.13/225.10 [8834]E(f326(x88341,f326(f90(x88342,x88343,x88344,x88341),x88345)),x88345)+~P105(f326(f326(f328(x88343),x88345),f326(f309(x88342,x88343,x88341),x88344)))
% 225.13/225.10 [8837]P25(x88371,x88372,f90(x88372,x88371,x88373,x88374),x88375)+~P105(f326(f326(f234(f925(x88371,a913)),x88375),f326(f309(x88372,x88371,x88374),x88373)))
% 225.13/225.10 [8844]~P34(x88441,x88443,x88445,x88442,x88444)+E(f326(f189(f918(x88441)),x88442),f326(f189(f918(x88443)),x88444))
% 225.13/225.10 [8855]P105(f326(f326(f234(f925(x88551,a913)),f326(f326(f39(x88552,f925(x88551,a913)),x88553),x88554)),f326(x88554,x88555)))+~P105(f326(f326(f328(x88552),x88555),x88553))
% 225.13/225.10 [8909]~P56(x89091,x89092,x89093,x89095,x89094)+E(f326(f309(x89091,x89092,x89093),f241(f925(x89091,a913))),x89094)
% 225.13/225.10 [9134]E(f326(f136(x91341,x91342),f742(x91343,x91344,x91345,x91342,x91341)),x91343)+~E(f326(f136(x91341,x91342),x91345),f326(f326(f151(x91341),x91344),x91343))
% 225.13/225.10 [9135]E(f326(f136(x91351,x91352),f746(x91353,x91352,x91354,x91355,x91351)),x91354)+~E(f326(f326(f151(x91351),x91355),x91354),f326(f136(x91351,x91352),x91353))
% 225.13/225.10 [9226]E(f326(f189(f918(x92261)),x92262),x92263)+~P105(f326(f326(f328(f924(f918(x92261),f918(x92261))),f326(f326(f251(f918(x92261),f918(x92261)),x92264),x92262)),f326(f143(x92261,x92265),x92263)))
% 225.13/225.10 [9227]E(f326(f189(f918(x92271)),x92272),x92273)+~P105(f326(f326(f328(f924(f918(x92271),f918(x92271))),f326(f326(f251(f918(x92271),f918(x92271)),x92272),x92274)),f326(f143(x92271,x92275),x92273)))
% 225.13/225.10 [9296]P105(f326(f326(f328(x92961),f352(x92962,x92963,x92961,x92964)),x92962))+~P105(f326(f326(f328(x92965),x92964),f326(f309(x92961,x92965,x92963),x92962)))
% 225.13/225.10 [9454]E(f326(f309(x94541,x94542,x94543),f355(x94544,x94543,x94541,x94545,x94542)),x94545)+~P105(f326(f326(f234(f925(x94542,a913)),x94545),f326(f309(x94541,x94542,x94543),x94544)))
% 225.13/225.10 [9772]P105(f326(f326(f328(f924(f918(x97721),f918(x97721))),f326(f326(f251(f918(x97721),f918(x97721)),f326(f326(f151(x97721),x97722),x97723)),f326(f326(f151(x97721),x97722),x97724))),f306(f918(x97721),f157(x97721,x97725))))+~P105(f326(f326(f328(f924(f918(x97721),f918(x97721))),f326(f326(f251(f918(x97721),f918(x97721)),x97723),x97724)),f306(f918(x97721),f157(x97721,x97725))))
% 225.13/225.10 [9803]~E(f326(x98033,f695(x98035,x98034,x98033,x98032,x98031)),f326(x98035,f695(x98035,x98034,x98033,x98032,x98031)))+E(f326(f326(f154(x98031,x98032),x98033),x98034),f326(f326(f154(x98031,x98032),x98035),x98034))
% 225.13/225.10 [9879]~E(f326(f136(x98791,x98795),x98794),f326(f326(f151(x98791),x98793),x98792))+E(f326(f326(f134(x98791),f744(x98792,x98793,x98794,x98795,x98791)),f326(f326(f151(x98791),x98793),f742(x98792,x98793,x98794,x98795,x98791))),x98794)
% 225.13/225.10 [9880]~E(f326(f326(f151(x98801),x98805),x98804),f326(f136(x98801,x98803),x98802))+E(f326(f326(f134(x98801),f747(x98802,x98803,x98804,x98805,x98801)),f326(f326(f151(x98801),x98805),f746(x98802,x98803,x98804,x98805,x98801))),x98802)
% 225.13/225.10 [9884]E(f326(f326(f154(x98841,x98842),x98843),x98844),f326(f326(f154(x98841,x98842),x98845),x98844))+P105(f326(f326(f328(x98841),f695(x98843,x98844,x98845,x98842,x98841)),f326(f172(x98841),x98844)))
% 225.13/225.10 [9914]~P105(f326(f326(f328(x99145),x99144),f326(f284(x99141,x99145,x99143),x99142)))+P105(f326(f326(f328(x99141),f437(x99142,x99143,x99141,x99144,x99145)),x99142))
% 225.13/225.10 [9915]~P105(f326(f326(f328(x99155),x99154),f326(f284(x99151,x99155,x99153),x99152)))+P105(f326(f326(f328(x99151),f441(x99152,x99153,x99151,x99154,x99155)),x99152))
% 225.13/225.10 [9945]~P105(f326(f326(f234(f925(x99455,a913)),x99454),f326(f309(x99451,x99455,x99453),x99452)))+P105(f326(f326(f234(f925(x99451,a913)),f355(x99452,x99453,x99451,x99454,x99455)),x99452))
% 225.13/225.10 [10391]E(x103911,f2(a99))+E(f223(f924(f918(x103912),x103913),f924(x103912,x103913),f326(f326(f251(f918(x103912),x103913),f113(x103912)),x103914),f326(f256(x103912,x103913,f924(f918(x103912),x103913)),f326(f326(f9(x103912,f925(x103913,f924(f918(x103912),x103913)),f925(x103913,f924(f918(x103912),x103913))),f326(f326(f10(f925(f924(f918(x103912),x103913),f924(f918(x103912),x103913)),f925(f925(x103913,f924(f918(x103912),x103913)),f925(x103913,f924(f918(x103912),x103913))),x103912),f10(f924(f918(x103912),x103913),f924(f918(x103912),x103913),x103913)),f326(f326(f10(f925(f918(x103912),f925(x103913,f924(f918(x103912),x103913))),f925(f924(f918(x103912),x103913),f924(f918(x103912),x103913)),x103912),f256(f918(x103912),x103913,f924(f918(x103912),x103913))),f326(f326(f10(f925(f918(x103912),f918(x103912)),f925(f918(x103912),f925(x103913,f924(f918(x103912),x103913))),x103912),f326(f10(f918(x103912),f925(x103913,f924(f918(x103912),x103913)),f918(x103912)),f251(f918(x103912),x103913))),f151(x103912))))),f326(f117(x103913,x103912,x103915),f326(f326(f3(a99),x103911),f77(a99))))),f326(x103915,x103914)),f326(f326(f117(x103913,x103912,x103915),x103911),x103914))
% 225.13/225.10 [6203]E(x62031,x62032)+~E(f326(f255(x62033,x62034),f326(f326(f251(x62033,x62034),x62035),x62031)),x62032)
% 225.13/225.10 [6204]E(x62041,x62042)+~E(f326(f250(x62043,x62044),f326(f326(f251(x62043,x62044),x62041),x62045)),x62042)
% 225.13/225.10 [6468]~E(x64683,f326(f326(f134(x64681),x64684),f326(f326(f151(x64681),x64682),x64685)))+P105(f326(f326(f328(x64681),x64682),f326(f172(x64681),x64683)))
% 225.13/225.10 [6866]E(f326(f309(x68661,x68662,f326(f18(x68662,x68661),x68663)),x68664),f326(f326(f308(x68662),x68663),f188(f925(x68662,a913))))+~P105(f326(f326(f328(x68661),x68665),x68664))
% 225.13/225.10 [6939]E(f326(f326(f101(f925(x69391,a913)),f326(f172(x69391),x69392)),f326(f172(x69391),x69393)),f326(f172(x69391),x69394))+~E(f166(x69391,x69395,x69394),f326(f326(f251(f918(x69391),f918(x69391)),x69392),x69393))
% 225.13/225.10 [7038]~P108(x70382)+E(f326(f189(f918(x70381)),f326(f326(f148(x70381,x70382,x70383),x70384),x70385)),f326(a112,f326(f189(f918(x70381)),x70385)))
% 225.13/225.10 [7052]~P108(x70522)+E(f326(f172(x70521),f326(f326(f148(x70521,x70522,x70523),x70524),x70525)),f326(f326(f308(x70521),x70524),f326(f172(x70521),x70525)))
% 225.13/225.10 [7324]~P120(x73241)+E(f326(f326(f80(x73241),f326(f326(f80(x73241),x73242),x73243)),f326(f326(f80(x73241),x73244),x73245)),f326(f326(f80(x73241),f326(f326(f80(x73241),x73242),x73244)),f326(f326(f80(x73241),x73243),x73245)))
% 225.13/225.10 [7325]~P120(x73251)+E(f326(f326(f79(x73251),f326(f326(f79(x73251),x73252),x73253)),f326(f326(f79(x73251),x73254),x73255)),f326(f326(f79(x73251),f326(f326(f79(x73251),x73252),x73254)),f326(f326(f79(x73251),x73253),x73255)))
% 225.13/225.10 [7326]~P61(x73261)+E(f326(f326(f290(x73261),f326(f326(f80(x73261),x73262),x73263)),f326(f326(f80(x73261),x73264),x73265)),f326(f326(f80(x73261),f326(f326(f290(x73261),x73262),x73264)),f326(f326(f290(x73261),x73263),x73265)))
% 225.13/225.10 [7340]~P108(x73401)+E(f305(x73401,f326(f326(f233(x73401),x73402),x73403),f326(f326(f238(x73401),x73404),x73405)),f326(f326(f102(f925(x73401,a913)),f305(x73401,x73402,x73404)),f305(x73401,x73403,x73405)))
% 225.13/225.10 [7341]~P108(x73411)+E(f302(x73411,f326(f326(f233(x73411),x73412),x73413),f326(f326(f238(x73411),x73414),x73415)),f326(f326(f102(f925(x73411,a913)),f302(x73411,x73412,x73414)),f302(x73411,x73413,x73415)))
% 225.13/225.10 [7342]~P108(x73421)+E(f304(x73421,f326(f326(f233(x73421),x73422),x73423),f326(f326(f238(x73421),x73424),x73425)),f326(f326(f102(f925(x73421,a913)),f304(x73421,x73422,x73424)),f304(x73421,x73423,x73425)))
% 225.13/225.10 [7343]~P108(x73431)+E(f326(f326(f102(f925(x73431,a913)),f326(f301(x73431,x73432),x73433)),f326(f301(x73431,x73434),x73435)),f326(f301(x73431,f326(f326(f233(x73431),x73432),x73434)),f326(f326(f238(x73431),x73433),x73435)))
% 225.13/225.10 [7465]~P105(f326(x74651,f386(x74653,x74652,x74651)))+P105(f326(x74651,f326(f326(f251(x74652,x74653),x74654),x74655)))
% 225.13/225.10 [7578]~E(x75782,f326(x75784,x75785))+P105(f326(f326(f328(x75781),x75782),f326(f309(x75783,x75781,x75784),f241(f925(x75783,a913)))))
% 225.13/225.10 [7650]~P16(x76503,x76502,x76504)+P16(x76501,x76502,f326(f326(f10(x76503,f925(x76502,x76502),x76501),x76504),x76505))
% 225.13/225.10 [7651]~P14(x76513,x76512,x76514)+P14(x76511,x76512,f326(f326(f10(x76513,f925(x76512,x76512),x76511),x76514),x76515))
% 225.13/225.10 [7788]~P25(x77881,x77882,x77883,x77884)+P25(x77881,x77882,x77883,f326(f326(f3(f925(x77881,a913)),x77884),x77885))
% 225.13/225.10 [7945]~P105(f326(f326(x79453,x79454),x79455))+P105(f326(f326(f256(x79451,x79452,a913),x79453),f326(f326(f251(x79451,x79452),x79454),x79455)))
% 225.13/225.10 [8057]~P105(f326(x80572,x80574))+~E(f326(f326(f138(x80571),f326(f189(f918(x80571)),f177(x80571,x80572,x80573))),x80573),f326(f326(f151(x80571),x80574),x80575))
% 225.13/225.10 [8077]P25(x80771,x80772,x80773,x80774)+~P25(x80771,x80772,x80773,f326(f326(f101(f925(x80771,a913)),x80775),x80774))
% 225.13/225.10 [8078]P25(x80781,x80782,x80783,x80784)+~P25(x80781,x80782,x80783,f326(f326(f101(f925(x80781,a913)),x80784),x80785))
% 225.13/225.10 [8125]~P108(x81252)+E(f326(f326(f148(x81251,x81252,x81253),x81254),f150(x81251,x81252,x81253,x81255)),f150(x81251,x81252,x81253,f326(f326(f151(x81251),x81254),x81255)))
% 225.13/225.10 [8442]~P14(x84422,x84421,x84423)+E(f326(f142(x84421,x84422,f326(f9(x84422,x84421,x84421),x84423),x84424),x84425),f326(f326(f63(x84422,x84421,x84423),x84424),f326(f172(x84422),x84425)))
% 225.13/225.10 [8470]~E(f326(f326(f138(x84701),f326(f189(f918(x84701)),f177(x84701,x84702,x84703))),x84703),f326(f326(f151(x84701),x84704),x84705))+E(f326(f326(f134(x84701),f177(x84701,x84702,x84703)),f326(f326(f151(x84701),x84704),x84705)),x84703)
% 225.13/225.10 [8497]P105(f326(f326(x84971,x84972),x84973))+~P105(f326(f326(f256(x84974,x84975,a913),x84971),f326(f326(f251(x84974,x84975),x84972),x84973)))
% 225.13/225.10 [8972]P105(f326(f326(f234(f925(x89721,a913)),f326(f309(x89722,x89721,x89723),x89724)),f326(f309(x89722,x89721,x89723),x89725)))+~P105(f326(f326(f234(f925(x89722,a913)),x89724),x89725))
% 225.13/225.10 [8973]P105(f326(f326(f234(f925(x89731,a913)),f326(f310(x89731,x89732,x89733),x89734)),f326(f310(x89731,x89732,x89733),x89735)))+~P105(f326(f326(f234(f925(x89732,a913)),x89734),x89735))
% 225.13/225.10 [9052]E(x90521,f2(a99))+E(f326(f326(f258(x90522,x90523,x90522,f924(x90523,x90522)),f326(x90524,x90525)),f272(x90523,x90522,f326(f326(f3(a99),x90521),f77(a99)),x90524)),f326(f272(x90523,x90522,x90521,x90524),x90525))
% 225.13/225.10 [9159]P105(f326(f326(f254(x91591,x91592,a913,x91593),x91594),x91595))+~P105(f326(x91593,f326(f326(f251(x91591,x91592),x91594),x91595)))
% 225.13/225.10 [9433]~P105(f326(f326(f254(x94332,x94333,a913,x94331),x94334),x94335))+P105(f326(x94331,f326(f326(f251(x94332,x94333),x94334),x94335)))
% 225.13/225.10 [9617]~P105(f326(f326(f328(x96172),x96175),f326(f309(x96171,x96172,x96174),x96173)))+P105(f326(f326(f328(x96171),f326(f90(x96171,x96172,x96173,x96174),x96175)),x96173))
% 225.13/225.10 [9714]~P105(f326(f60(x97143),f326(f309(x97142,x97143,x97145),f241(f925(x97142,a913)))))+P105(f326(f60(x97141),f326(f309(x97142,x97141,f326(f326(f10(x97143,x97141,x97142),x97144),x97145)),f241(f925(x97142,a913)))))
% 225.13/225.10 [9739]P105(f326(f326(f234(f925(f925(x97391,a913),a913)),f326(f309(f925(x97392,a913),f925(x97391,a913),f309(x97392,x97391,x97393)),f326(f307(x97392),x97394))),f326(f307(x97391),x97395)))+~P105(f326(f326(f234(f925(x97391,a913)),f326(f309(x97392,x97391,x97393),x97394)),x97395))
% 225.13/225.10 [9811]E(x98111,x98112)+~P105(f326(f65(x98113,x98114,x98115,x98111,f188(f925(x98113,a913))),x98112))
% 225.13/225.10 [9827]E(f326(f326(f251(x98271,x98272),f549(x98273,x98274,x98275,x98272,x98271)),f550(x98273,x98274,x98275,x98272,x98271)),x98275)+~P105(f326(f326(f328(f924(x98271,x98272)),x98275),f326(f326(f253(x98271,x98272),x98274),x98273)))
% 225.13/225.10 [9920]P105(f326(f326(f328(x99201),f549(x99202,x99203,x99204,x99205,x99201)),x99203))+~P105(f326(f326(f328(f924(x99201,x99205)),x99204),f326(f326(f253(x99201,x99205),x99203),x99202)))
% 225.13/225.10 [10040]P24(x100405,x100404,f326(f326(f308(f916(x100405)),f91(x100405,x100401,x100403,x100402)),f188(f925(f916(x100405),a913))))+P105(f326(f326(x100401,f529(x100402,x100403,x100404,x100405,x100401)),f531(x100402,x100403,x100404,x100405,x100401)))
% 225.13/225.10 [10076]P105(f326(f326(f328(x100761),f550(x100762,x100763,x100764,x100761,x100765)),f326(x100762,f549(x100762,x100763,x100764,x100761,x100765))))+~P105(f326(f326(f328(f924(x100765,x100761)),x100764),f326(f326(f253(x100765,x100761),x100763),x100762)))
% 225.13/225.10 [10096]P105(f326(f326(f328(f924(x100961,x100961)),f326(f326(f251(x100961,x100961),x100962),f639(x100963,x100964,x100965,x100962,x100961))),x100963))+~P105(f326(f326(f328(f924(x100961,x100961)),f326(f326(f251(x100961,x100961),x100962),x100965)),f326(f326(f183(f924(x100961,x100961),a913),f326(a112,x100964)),x100963)))
% 225.13/225.10 [10097]P105(f326(f326(f328(f924(x100971,x100971)),f326(f326(f251(x100971,x100971),x100972),f640(x100973,x100974,x100975,x100972,x100971))),x100973))+~P105(f326(f326(f328(f924(x100971,x100971)),f326(f326(f251(x100971,x100971),x100972),x100975)),f326(f326(f183(f924(x100971,x100971),a913),f326(a112,x100974)),x100973)))
% 225.13/225.10 [10103]~P24(x101031,x101032,f326(f326(f308(f916(x101031)),f91(x101031,f92(x101031,x101033,x101034),x101035,x101033)),f188(f925(f916(x101031),a913))))+P24(x101031,x101032,f326(f326(f308(f916(x101031)),f91(x101031,x101033,f29(x101034,x101035),f92(x101031,x101033,f326(f72(a913,a913,a915,a321),x101034)))),f188(f925(f916(x101031),a913))))
% 225.13/225.10 [10115]~P105(f326(f326(f328(f924(f918(x101151),f918(x101151))),f326(f326(f251(f918(x101151),f918(x101151)),f326(f326(f151(x101151),x101152),x101155)),x101154)),f158(x101151,x101153)))+P105(f326(f326(f328(f924(x101151,x101151)),f326(f326(f251(x101151,x101151),x101152),f656(x101153,x101154,x101155,x101152,x101151))),x101153))
% 225.13/225.10 [10380]P24(x103801,x103802,f326(f326(f308(f916(x103801)),f91(x103801,x103803,x103804,x103805)),f188(f925(f916(x103801),a913))))+~P24(x103801,x103802,f326(f326(f308(f916(x103801)),f91(x103801,f326(f18(f925(a915,a913),x103801),f326(f326(f9(a915,a915,a913),a323),f531(x103805,x103804,x103802,x103801,x103803))),x103804,f326(f18(f925(a915,a913),x103801),f326(x103805,f529(x103805,x103804,x103802,x103801,x103803))))),f188(f925(f916(x103801),a913))))
% 225.13/225.10 [6547]P105(f326(x65472,x65474))+E(f177(x65471,x65472,f326(f326(f134(x65471),x65473),f326(f326(f151(x65471),x65474),x65475))),f177(x65471,x65472,x65473))
% 225.13/225.10 [6595]~P65(x65952)+E(f326(f326(f326(f3(f925(x65951,x65952)),x65953),x65954),x65955),f326(f326(f3(x65952),f326(x65953,x65955)),f326(x65954,x65955)))
% 225.13/225.10 [6597]~P99(x65972)+E(f326(f326(f326(f101(f925(x65971,x65972)),x65973),x65974),x65975),f326(f326(f101(x65972),f326(x65973,x65975)),f326(x65974,x65975)))
% 225.13/225.10 [6599]~P99(x65992)+E(f326(f326(f326(f102(f925(x65991,x65992)),x65993),x65994),x65995),f326(f326(f102(x65992),f326(x65993,x65995)),f326(x65994,x65995)))
% 225.13/225.10 [6616]E(x66161,x66162)+E(f326(f326(f164(x66163),f326(f326(f159(x66163,x66164),x66161),x66165)),x66162),f326(f326(f164(x66163),x66164),x66162))
% 225.13/225.10 [6886]~E(x68864,f188(f925(x68863,a913)))+E(f326(f326(f3(f925(x68861,a913)),x68862),f326(f326(f38(x68863,f925(x68861,a913)),x68864),x68865)),x68862)
% 225.13/225.10 [6887]~E(x68874,f188(f925(x68873,a913)))+E(f326(f326(f101(f925(x68871,a913)),x68872),f326(f326(f38(x68873,f925(x68871,a913)),x68874),x68875)),x68872)
% 225.13/225.10 [6888]~E(x68884,f188(f925(x68883,a913)))+E(f326(f326(f102(f925(x68881,a913)),x68882),f326(f326(f39(x68883,f925(x68881,a913)),x68884),x68885)),x68882)
% 225.13/225.10 [6903]~E(x69034,f188(f925(x69033,a913)))+E(f326(f326(f308(x69031),x69032),f326(f326(f38(x69033,f925(x69031,a913)),x69034),x69035)),f326(f326(f308(x69031),x69032),f188(f925(x69031,a913))))
% 225.13/225.10 [7696]E(f326(f326(f164(x76961),f326(f326(f154(x76962,x76961),x76963),x76964)),x76965),f326(x76963,f326(f326(f164(x76962),x76964),x76965)))+~P105(f326(f326(f235(a917),x76965),f326(f189(f918(x76962)),x76964)))
% 225.13/225.10 [7759]E(f326(f326(f101(f925(x77591,a913)),f326(x77592,x77593)),f326(f326(f38(x77594,f925(x77591,a913)),x77595),x77592)),f326(f326(f38(x77594,f925(x77591,a913)),x77595),x77592))+~P105(f326(f326(f328(x77594),x77593),x77595))
% 225.13/225.10 [7760]E(f326(f326(f102(f925(x77601,a913)),f326(x77602,x77603)),f326(f326(f39(x77604,f925(x77601,a913)),x77605),x77602)),f326(f326(f39(x77604,f925(x77601,a913)),x77605),x77602))+~P105(f326(f326(f328(x77604),x77603),x77605))
% 225.13/225.10 [8365]~E(x83653,f188(f925(x83651,a913)))+E(f326(f326(f38(x83651,f925(x83652,a913)),x83653),f326(f326(f10(f925(x83652,a913),f925(x83652,a913),x83651),f326(f308(x83652),x83654)),x83655)),f188(f925(x83652,a913)))
% 225.13/225.10 [8370]~P105(f326(f326(f328(x83704),x83703),x83705))+P105(f326(f326(f234(f925(x83701,a913)),f326(x83702,x83703)),f326(f326(f38(x83704,f925(x83701,a913)),x83705),x83702)))
% 225.13/225.10 [8496]~E(f326(x84964,x84962),x84965)+P105(f326(f326(f328(x84961),x84962),f326(f310(x84961,x84963,x84964),f326(f326(f308(x84963),x84965),f188(f925(x84963,a913))))))
% 225.13/225.10 [8543]~P54(x85431,x85432,f326(f285(x85432,x85431),x85433))+E(f326(f326(f102(f925(x85431,a913)),f326(f284(x85432,x85431,x85433),x85434)),f326(f284(x85432,x85431,x85433),x85435)),f326(f284(x85432,x85431,x85433),f326(f326(f102(f925(x85432,a913)),x85434),x85435)))
% 225.13/225.10 [8617]E(x86171,f2(a99))+E(f326(f118(x86172,x86173,f326(x86174,f326(f326(f3(a99),x86171),f77(a99)))),f326(f326(f9(x86172,a99,f919(x86173)),x86175),x86171)),f326(f198(x86172,x86173,x86174,x86175),x86171))
% 225.13/225.10 [8655]E(x86551,f188(f925(x86552,a913)))+E(f326(f326(f38(x86552,f925(x86553,a913)),x86551),f326(f326(f10(f925(x86553,a913),f925(x86553,a913),x86552),f326(f308(x86553),x86554)),x86555)),f326(f326(f308(x86553),x86554),f326(f326(f38(x86552,f925(x86553,a913)),x86551),x86555)))
% 225.13/225.10 [8706]~P25(x87062,x87061,x87063,f241(f925(x87062,a913)))+E(f326(f326(f3(f925(x87061,a913)),f326(f309(x87062,x87061,x87063),x87064)),f326(f309(x87062,x87061,x87063),x87065)),f326(f309(x87062,x87061,x87063),f326(f326(f3(f925(x87062,a913)),x87064),x87065)))
% 225.13/225.10 [8707]~P25(x87072,x87071,x87073,f241(f925(x87072,a913)))+E(f326(f326(f102(f925(x87071,a913)),f326(f309(x87072,x87071,x87073),x87074)),f326(f309(x87072,x87071,x87073),x87075)),f326(f309(x87072,x87071,x87073),f326(f326(f102(f925(x87072,a913)),x87074),x87075)))
% 225.13/225.10 [8775]~P105(f326(f326(f66(x87751,x87752,x87755),x87753),x87754))+P105(f326(f326(f328(f924(x87751,x87752)),f326(f326(f251(x87751,x87752),x87753),x87754)),x87755))
% 225.13/225.10 [8807]P105(f326(f326(f328(x88071),x88072),f326(f283(x88073,x88071),x88074)))+~P105(f326(f326(f328(f924(x88073,x88071)),f326(f326(f251(x88073,x88071),x88075),x88072)),x88074))
% 225.13/225.10 [8809]P105(f326(f326(f328(x88091),x88092),f326(f263(x88091,x88093),x88094)))+~P105(f326(f326(f328(f924(x88091,x88093)),f326(f326(f251(x88091,x88093),x88092),x88095)),x88094))
% 225.13/225.10 [8956]P105(f326(f326(f66(x89561,x89562,x89563),x89564),x89565))+~P105(f326(f326(f328(f924(x89561,x89562)),f326(f326(f251(x89561,x89562),x89564),x89565)),x89563))
% 225.13/225.10 [8995]E(f326(x89951,x89952),x89953)+~P105(f326(f326(f328(x89954),x89952),f326(f310(x89954,x89955,x89951),f326(f326(f308(x89955),x89953),f188(f925(x89955,a913))))))
% 225.13/225.10 [9223]P105(f326(f326(f328(f924(x92231,x92232)),f326(f326(f251(x92231,x92232),x92233),x92234)),f326(f285(x92232,x92231),x92235)))+~P105(f326(f326(f328(f924(x92232,x92231)),f326(f326(f251(x92232,x92231),x92234),x92233)),x92235))
% 225.13/225.10 [9241]~P105(f326(f326(x92411,x92415),x92414))+P105(f326(f326(x92411,f326(f255(x92412,x92413),f326(f326(f251(x92412,x92413),x92414),x92415))),f326(f250(x92412,x92413),f326(f326(f251(x92412,x92413),x92414),x92415))))
% 225.13/225.10 [9271]~P105(f326(f326(f328(f924(x92712,x92711)),f326(f326(f251(x92712,x92711),x92714),x92713)),f326(f285(x92711,x92712),x92715)))+P105(f326(f326(f328(f924(x92711,x92712)),f326(f326(f251(x92711,x92712),x92713),x92714)),x92715))
% 225.13/225.10 [9303]~P105(f326(f326(f328(f924(x93033,x93031)),f326(f326(f251(x93033,x93031),x93035),x93032)),x93034))+P105(f326(f326(f328(x93031),x93032),f326(f284(x93033,x93031,x93034),f326(f326(f308(x93033),x93035),f188(f925(x93033,a913))))))
% 225.13/225.10 [9350]P105(f326(f326(f328(f924(x93501,x93502)),f326(f326(f251(x93501,x93502),x93503),x93504)),x93505))+~P105(f326(f326(f328(x93502),x93504),f326(f284(x93501,x93502,x93505),f326(f326(f308(x93501),x93503),f188(f925(x93501,a913))))))
% 225.13/225.10 [9440]~P70(x94401)+E(f326(f326(f8(a917,x94401),x94402),f302(a917,f326(f326(f79(a917),x94403),x94404),f326(f326(f79(a917),x94405),x94404))),f326(f326(f8(a917,x94401),f326(f326(f10(a917,x94401,a917),x94402),f326(f326(f9(a917,a917,a917),f79(a917)),x94404))),f302(a917,x94403,x94405)))
% 225.13/225.10 [9459]~P70(x94591)+E(f326(f326(f8(a917,x94591),x94592),f326(f301(a917,f326(f326(f79(a917),x94593),x94594)),f326(f326(f79(a917),x94595),x94594))),f326(f326(f8(a917,x94591),f326(f326(f10(a917,x94591,a917),x94592),f326(f326(f9(a917,a917,a917),f79(a917)),x94594))),f326(f301(a917,x94593),x94595)))
% 225.13/225.10 [9517]~P25(x95171,x95172,x95173,f241(f925(x95171,a913)))+E(f326(f326(f154(x95171,x95172),x95173),f326(f136(x95171,f326(f326(f10(a913,a913,x95171),a321),f326(a323,x95174))),x95175)),f326(f136(x95172,f326(f326(f10(a913,a913,x95172),a321),f326(a323,f326(x95173,x95174)))),f326(f326(f154(x95171,x95172),x95173),x95175)))
% 225.13/225.10 [9535]~P25(x95351,x95352,x95353,f326(f326(f308(x95351),x95354),f326(f172(x95351),x95355)))+E(f326(f326(f154(x95351,x95352),x95353),f326(f136(x95351,f326(f326(f10(a913,a913,x95351),a321),f326(a323,x95354))),x95355)),f326(f136(x95352,f326(f326(f10(a913,a913,x95352),a321),f326(a323,f326(x95353,x95354)))),f326(f326(f154(x95351,x95352),x95353),x95355)))
% 225.13/225.10 [9702]P105(f326(f326(f328(f924(f918(x97021),f918(x97021))),f326(f326(f251(f918(x97021),f918(x97021)),f326(f326(f151(x97021),x97022),x97023)),f326(f326(f151(x97021),x97024),x97023))),f157(x97021,x97025)))+~P105(f326(f326(f328(f924(x97021,x97021)),f326(f326(f251(x97021,x97021),x97022),x97024)),x97025))
% 225.13/225.10 [9822]E(f326(f326(f308(x98221),f466(x98222,x98223,x98224,x98225,x98221)),f480(x98222,x98223,x98224,x98225,x98221)),f326(f326(f308(x98221),x98224),x98223))+~P105(f326(f61(x98221,x98225,f326(f326(f308(x98221),x98224),x98223)),x98222))
% 225.13/225.10 [9823]E(f326(f326(f308(x98231),f487(x98232,x98233,x98234,x98235,x98231)),f498(x98232,x98233,x98234,x98235,x98231)),f326(f326(f308(x98231),x98234),x98233))+~P105(f326(f61(x98231,x98235,f326(f326(f308(x98231),x98234),x98233)),x98232))
% 225.13/225.10 [9905]P105(f326(f326(f328(x99051),f526(x99052,x99053,x99054,x99055,x99051)),x99054))+P105(f326(f326(f326(f39(x99051,f925(x99055,a913)),x99054),x99053),x99052))
% 225.13/225.10 [9910]P105(f326(f326(f328(x99101),f519(x99102,x99103,x99101,x99104,x99105)),x99103))+P105(f326(f326(f328(x99105),x99104),f326(f326(f39(x99101,f925(x99105,a913)),x99103),x99102)))
% 225.13/225.10 [9918]P105(f326(f326(f328(x99181),f520(x99182,x99183,x99181,x99184,x99185)),x99183))+P105(f326(f326(f234(f925(x99185,a913)),x99184),f326(f326(f39(x99181,f925(x99185,a913)),x99183),x99182)))
% 225.13/225.10 [9919]P105(f326(f326(f328(x99191),f834(x99192,x99193,x99194,x99195,x99191)),x99195))+P105(f326(f326(f234(f925(x99194,a913)),x99193),f326(f326(f39(x99191,f925(x99194,a913)),x99195),x99192)))
% 225.13/225.10 [9921]P105(f326(f326(x99211,f499(x99212,x99211,x99213,x99214,x99215)),x99212))+~P105(f326(f326(f326(f38(x99215,f925(x99214,a913)),x99213),x99211),x99212))
% 225.13/225.10 [9925]P105(f326(f326(f328(x99251),f499(x99252,x99253,x99254,x99255,x99251)),x99254))+~P105(f326(f326(f326(f38(x99251,f925(x99255,a913)),x99254),x99253),x99252))
% 225.13/225.10 [9926]P52(x99264,f326(f326(f39(x99261,f925(x99264,a913)),x99265),x99263),f326(f326(f39(x99261,f925(f924(x99264,x99264),a913)),x99265),x99262))+P105(f326(f326(f328(x99261),f774(x99262,x99263,x99264,x99265,x99261)),x99265))
% 225.13/225.10 [9927]P52(x99274,f326(f326(f38(x99271,f925(x99274,a913)),x99275),x99273),f326(f326(f38(x99271,f925(f924(x99274,x99274),a913)),x99275),x99272))+P105(f326(f326(f328(x99271),f827(x99272,x99273,x99274,x99275,x99271)),x99275))
% 225.13/225.10 [9937]P105(f326(f326(f328(x99371),f500(x99372,x99373,x99371,x99374,x99375)),x99373))+~P105(f326(f326(f328(x99375),x99374),f326(f326(f38(x99371,f925(x99375,a913)),x99373),x99372)))
% 225.13/225.10 [9943]P105(f326(f326(f328(x99431),x99432),f326(x99433,f500(x99433,x99434,x99435,x99432,x99431))))+~P105(f326(f326(f328(x99431),x99432),f326(f326(f38(x99435,f925(x99431,a913)),x99434),x99433)))
% 225.13/225.10 [10024]~P105(f326(f326(x100244,f526(x100245,x100244,x100243,x100242,x100241)),x100245))+P105(f326(f326(f326(f39(x100241,f925(x100242,a913)),x100243),x100244),x100245))
% 225.13/225.10 [10027]~P105(f326(f326(f328(x100271),x100272),f326(x100275,f519(x100275,x100274,x100273,x100272,x100271))))+P105(f326(f326(f328(x100271),x100272),f326(f326(f39(x100273,f925(x100271,a913)),x100274),x100275)))
% 225.13/225.10 [10031]~P52(x100311,f326(x100314,f827(x100315,x100314,x100311,x100313,x100312)),f326(x100315,f827(x100315,x100314,x100311,x100313,x100312)))+P52(x100311,f326(f326(f38(x100312,f925(x100311,a913)),x100313),x100314),f326(f326(f38(x100312,f925(f924(x100311,x100311),a913)),x100313),x100315))
% 225.13/225.10 [10032]~P52(x100321,f326(x100324,f774(x100325,x100324,x100321,x100323,x100322)),f326(x100325,f774(x100325,x100324,x100321,x100323,x100322)))+P52(x100321,f326(f326(f39(x100322,f925(x100321,a913)),x100323),x100324),f326(f326(f39(x100322,f925(f924(x100321,x100321),a913)),x100323),x100325))
% 225.13/225.10 [10033]~P105(f326(f326(f234(f925(x100331,a913)),x100332),f326(x100335,f520(x100335,x100334,x100333,x100332,x100331))))+P105(f326(f326(f234(f925(x100331,a913)),x100332),f326(f326(f39(x100333,f925(x100331,a913)),x100334),x100335)))
% 225.13/225.10 [10034]~P105(f326(f326(f234(f925(x100341,a913)),x100342),f326(x100345,f834(x100345,x100342,x100341,x100344,x100343))))+P105(f326(f326(f234(f925(x100341,a913)),x100342),f326(f326(f39(x100343,f925(x100341,a913)),x100344),x100345)))
% 225.13/225.10 [10100]~P105(f326(f326(f328(x101001),f466(x101005,x101004,x101003,x101002,x101001)),f480(x101005,x101004,x101003,x101002,x101001)))+~P105(f326(f61(x101001,x101002,f326(f326(f308(x101001),x101003),x101004)),x101005))
% 225.13/225.10 [10101]~P105(f326(f326(f328(x101011),f487(x101015,x101014,x101013,x101012,x101011)),f498(x101015,x101014,x101013,x101012,x101011)))+~P105(f326(f61(x101011,x101012,f326(f326(f308(x101011),x101013),x101014)),x101015))
% 225.13/225.10 [10102]~P105(f326(f326(f328(f924(x101021,x101021)),f326(f326(f251(x101021,x101021),x101022),x101025)),f326(f326(f183(f924(x101021,x101021),a913),f326(a112,x101024)),x101023)))+P105(f326(f326(f328(f924(x101021,x101021)),f326(f326(f251(x101021,x101021),x101022),f641(x101023,x101024,x101025,x101022,x101021))),f326(f326(f183(f924(x101021,x101021),a913),x101024),x101023)))
% 225.13/225.10 [10109]P105(f326(f65(x101091,x101091,x101092,f466(x101093,x101094,x101095,x101092,x101091),f480(x101093,x101094,x101095,x101092,x101091)),x101093))+~P105(f326(f61(x101091,x101092,f326(f326(f308(x101091),x101095),x101094)),x101093))
% 225.13/225.10 [10110]P105(f326(f65(x101101,x101101,x101102,f487(x101103,x101104,x101105,x101102,x101101),f498(x101103,x101104,x101105,x101102,x101101)),x101103))+~P105(f326(f61(x101101,x101102,f326(f326(f308(x101101),x101105),x101104)),x101103))
% 225.13/225.10 [10120]~P108(x101201)+P13(x101201,f326(f326(f154(x101202,x101201),x101203),f326(f136(x101202,f326(f326(f9(x101202,x101201,a913),f326(f326(f10(x101201,f925(x101201,a913),x101202),a323),x101203)),f326(x101204,x101205))),x101205)))
% 225.13/225.10 [10171]~P105(f326(f326(f328(x101712),x101715),f326(f284(x101711,x101712,x101714),x101713)))+P105(f326(f326(f328(f924(x101711,x101712)),f326(f326(f251(x101711,x101712),f437(x101713,x101714,x101711,x101715,x101712)),x101715)),x101714))
% 225.13/225.10 [10172]~P105(f326(f326(f328(x101722),x101725),f326(f284(x101721,x101722,x101724),x101723)))+P105(f326(f326(f328(f924(x101721,x101722)),f326(f326(f251(x101721,x101722),f441(x101723,x101724,x101721,x101725,x101722)),x101725)),x101724))
% 225.13/225.10 [10192]~P105(f326(f326(f328(f924(x101921,x101921)),f326(f326(f251(x101921,x101921),x101925),x101924)),f326(f326(f183(f924(x101921,x101921),a913),f326(a112,x101923)),x101922)))+P105(f326(f326(f328(f924(x101921,x101921)),f326(f326(f251(x101921,x101921),f641(x101922,x101923,x101924,x101925,x101921)),x101924)),x101922))
% 225.13/225.10 [10195]~P105(f326(f326(f328(f924(x101951,x101951)),f326(f326(f251(x101951,x101951),x101955),x101954)),f326(f326(f183(f924(x101951,x101951),a913),f326(a112,x101953)),x101952)))+P105(f326(f326(f328(f924(x101951,x101951)),f326(f326(f251(x101951,x101951),f639(x101952,x101953,x101954,x101955,x101951)),x101954)),f326(f326(f183(f924(x101951,x101951),a913),x101953),x101952)))
% 225.13/225.10 [10196]~P105(f326(f326(f328(f924(x101961,x101961)),f326(f326(f251(x101961,x101961),x101965),x101964)),f326(f326(f183(f924(x101961,x101961),a913),f326(a112,x101963)),x101962)))+P105(f326(f326(f328(f924(x101961,x101961)),f326(f326(f251(x101961,x101961),f640(x101962,x101963,x101964,x101965,x101961)),x101964)),f326(f326(f183(f924(x101961,x101961),a913),x101963),x101962)))
% 225.13/225.10 [10197]~P105(f326(f326(f328(f924(f918(x101971),f918(x101971))),f326(f326(f251(f918(x101971),f918(x101971)),x101975),f326(f326(f151(x101971),x101974),x101973))),f158(x101971,x101972)))+P105(f326(f326(f328(f924(x101971,x101971)),f326(f326(f251(x101971,x101971),f653(x101972,x101973,x101974,x101975,x101971)),x101974)),x101972))
% 225.13/225.10 [7780]~E(x77803,f188(f925(x77802,a913)))+E(f326(f326(f101(f925(x77801,a913)),f326(f326(f38(x77802,f925(x77801,a913)),x77803),x77804)),x77805),x77805)
% 225.13/225.10 [7781]~E(x77813,f188(f925(x77812,a913)))+E(f326(f326(f102(f925(x77811,a913)),f326(f326(f39(x77812,f925(x77811,a913)),x77813),x77814)),x77815),x77815)
% 225.13/225.10 [8207]~E(x82073,f188(f925(x82072,a913)))+E(f326(f326(f3(f925(x82071,a913)),f326(f326(f39(x82072,f925(x82071,a913)),x82073),x82074)),x82075),f326(f326(f3(f925(x82071,a913)),f241(f925(x82071,a913))),x82075))
% 225.13/225.10 [8339]E(f326(f326(f159(x83391,f326(f326(f134(x83391),x83392),x83393)),x83394),x83395),f326(f326(f134(x83391),f326(f326(f159(x83391,x83392),x83394),x83395)),x83393))+~P105(f326(f326(f235(a917),x83394),f326(f189(f918(x83391)),x83392)))
% 225.13/225.10 [8607]E(f326(f326(f164(x86071),f326(f326(f154(a917,x86071),x86072),f139(a917,f326(f301(a917,x86073),x86074)))),x86075),f326(x86072,f326(f326(f79(a917),x86073),x86075)))+~P105(f326(f326(f235(a917),x86075),f326(f326(f3(a917),x86074),x86073)))
% 225.13/225.10 [8621]E(x86211,f2(a99))+E(f122(x86212,x86213,f326(x86214,f326(f326(f3(a99),x86211),f77(a99))),f326(f326(f9(x86212,a99,f919(f921(x86213))),x86215),x86211)),f326(f196(x86212,x86213,x86214,x86215),x86211))
% 225.13/225.10 [8645]~E(x86453,f188(f925(x86451,a913)))+E(f326(f326(f38(x86451,f925(x86452,a913)),x86453),f326(f326(f10(f925(x86452,a913),f925(x86452,a913),x86451),f326(f101(f925(x86452,a913)),x86454)),x86455)),f188(f925(x86452,a913)))
% 225.13/225.10 [8646]~E(x86463,f188(f925(x86461,a913)))+E(f326(f326(f39(x86461,f925(x86462,a913)),x86463),f326(f326(f10(f925(x86462,a913),f925(x86462,a913),x86461),f326(f3(f925(x86462,a913)),x86464)),x86465)),f241(f925(x86462,a913)))
% 225.13/225.10 [8647]~E(x86473,f188(f925(x86471,a913)))+E(f326(f326(f39(x86471,f925(x86472,a913)),x86473),f326(f326(f10(f925(x86472,a913),f925(x86472,a913),x86471),f326(f102(f925(x86472,a913)),x86474)),x86475)),f241(f925(x86472,a913)))
% 225.13/225.10 [8649]~P146(x86492)+E(f326(f326(f8(x86491,x86492),f326(f326(f10(x86492,x86492,x86491),f326(f80(x86492),x86493)),x86494)),x86495),f326(f326(f80(x86492),x86493),f326(f326(f8(x86491,x86492),x86494),x86495)))
% 225.13/225.10 [8940]E(x89401,f188(f925(x89402,a913)))+E(f326(f326(f38(x89402,f925(x89403,a913)),x89401),f326(f326(f10(f925(x89403,a913),f925(x89403,a913),x89402),f326(f101(f925(x89403,a913)),x89404)),x89405)),f326(f326(f101(f925(x89403,a913)),x89404),f326(f326(f38(x89402,f925(x89403,a913)),x89401),x89405)))
% 225.13/225.10 [8941]E(x89411,f188(f925(x89412,a913)))+E(f326(f326(f39(x89412,f925(x89413,a913)),x89411),f326(f326(f10(f925(x89413,a913),f925(x89413,a913),x89412),f326(f3(f925(x89413,a913)),x89414)),x89415)),f326(f326(f3(f925(x89413,a913)),x89414),f326(f326(f38(x89412,f925(x89413,a913)),x89411),x89415)))
% 225.13/225.10 [8942]E(x89421,f188(f925(x89422,a913)))+E(f326(f326(f39(x89422,f925(x89423,a913)),x89421),f326(f326(f10(f925(x89423,a913),f925(x89423,a913),x89422),f326(f102(f925(x89423,a913)),x89424)),x89425)),f326(f326(f102(f925(x89423,a913)),x89424),f326(f326(f39(x89422,f925(x89423,a913)),x89421),x89425)))
% 225.13/225.10 [9141]~P105(f326(f326(f235(a917),f326(x91414,x91412)),f326(x91414,x91413)))+P105(f326(f326(f328(f924(x91411,x91411)),f326(f326(f251(x91411,x91411),x91412),x91413)),f153(x91411,f326(f326(f151(f925(x91411,a917)),x91414),x91415))))
% 225.13/225.10 [9405]~P25(x94052,x94051,x94053,f326(f326(f101(f925(x94052,a913)),x94054),x94055))+E(f326(f326(f102(f925(x94051,a913)),f326(f309(x94052,x94051,x94053),f326(f326(f3(f925(x94052,a913)),x94054),x94055))),f326(f309(x94052,x94051,x94053),f326(f326(f3(f925(x94052,a913)),x94055),x94054))),f188(f925(x94051,a913)))
% 225.13/225.10 [9664]~P25(x96643,x96641,x96645,f241(f925(x96643,a913)))+E(f326(f72(x96641,x96642,x96643,f326(f72(x96643,x96642,x96641,x96644),f90(x96643,x96641,f241(f925(x96643,a913)),x96645))),x96645),x96644)
% 225.13/225.10 [9698]~P105(f326(f326(f234(f925(x96983,a913)),f326(f284(x96981,x96983,x96984),x96982)),x96985))+P105(f326(f326(f234(f925(x96981,a913)),x96982),f326(f78(f925(x96981,a913)),f326(f284(x96983,x96981,f326(f285(x96981,x96983),x96984)),f326(f78(f925(x96983,a913)),x96985)))))
% 225.13/225.10 [9723]~P25(x97231,x97232,x97233,f326(f326(f308(x97231),x97234),x97235))+~P105(f326(f326(f328(x97232),f326(x97233,x97234)),f326(f309(x97231,x97232,x97233),f326(f326(f3(f925(x97231,a913)),x97235),f326(f326(f308(x97231),x97234),f188(f925(x97231,a913)))))))
% 225.13/225.10 [9776]P105(f326(f326(f234(f925(x97761,a913)),f326(f284(x97762,x97761,x97763),x97764)),x97765))+~P105(f326(f326(f234(f925(x97762,a913)),x97764),f326(f78(f925(x97762,a913)),f326(f284(x97761,x97762,f326(f285(x97762,x97761),x97763)),f326(f78(f925(x97761,a913)),x97765)))))
% 225.13/225.10 [9849]~P84(x98491)+P105(f326(f326(f234(x98491),f326(f75(x98491),f326(f326(f3(x98491),f326(f326(f79(x98491),x98492),x98493)),f326(f326(f79(x98491),x98494),x98495)))),f326(f326(f79(x98491),f326(f75(x98491),f326(f326(f3(x98491),x98492),x98494))),f326(f75(x98491),f326(f326(f3(x98491),x98493),x98495)))))
% 225.13/225.10 [9958]P105(f326(f326(f328(x99581),f501(x99582,x99583,x99584,x99581,x99585)),x99584))+P105(f326(f326(f234(f925(x99585,a913)),f326(f326(f38(x99581,f925(x99585,a913)),x99584),x99583)),x99582))
% 225.13/225.10 [10138]~P105(f326(f326(f234(f925(x101381,a913)),f326(x101384,f501(x101385,x101384,x101383,x101382,x101381))),x101385))+P105(f326(f326(f234(f925(x101381,a913)),f326(f326(f38(x101382,f925(x101381,a913)),x101383),x101384)),x101385))
% 225.13/225.10 [8754]E(f326(f326(f134(x87541),x87542),f326(f326(f159(x87541,x87543),f326(f326(f3(a917),x87544),f326(f189(f918(x87541)),x87542))),x87545)),f326(f326(f159(x87541,f326(f326(f134(x87541),x87542),x87543)),x87544),x87545))+P105(f326(f326(f235(a917),x87544),f326(f189(f918(x87541)),x87542)))
% 225.13/225.10 [8782]~P139(x87821)+E(f326(f326(f79(x87821),f326(f326(f80(x87821),x87822),x87823)),f326(f326(f79(x87821),f326(f326(f80(x87821),x87824),x87823)),x87825)),f326(f326(f79(x87821),f326(f326(f80(x87821),f326(f326(f79(x87821),x87822),x87824)),x87823)),x87825))
% 225.13/225.10 [9359]~P146(x93591)+E(f326(f165(x93591),f326(f326(f154(x93592,x93591),f326(f326(f10(x93591,x93591,x93592),f326(f80(x93591),x93593)),x93594)),x93595)),f326(f326(f80(x93591),x93593),f326(f165(x93591),f326(f326(f154(x93592,x93591),x93594),x93595))))
% 225.13/225.10 [9534]E(f326(f189(f918(x95341)),f326(f326(f175(x95341),f326(f326(f238(a917),f326(f189(f918(x95341)),x95342)),f326(f189(f918(x95343)),x95344))),x95342)),f326(f189(f918(x95343)),f326(f326(f175(x95343),f326(f326(f238(a917),f326(f189(f918(x95341)),x95342)),f326(f189(f918(x95343)),x95344))),x95344)))+P105(f326(x95345,f326(f326(f181(x95341,x95343),x95342),x95344)))
% 225.13/225.10 [9786]~P146(x97862)+E(f326(f326(f8(x97861,x97862),f326(f326(f9(x97861,x97862,x97862),f326(f326(f10(x97862,f925(x97862,x97862),x97861),f80(x97862)),x97863)),x97864)),x97865),f326(f326(f80(x97862),f326(f326(f8(x97861,x97862),x97863),x97865)),x97864))
% 225.13/225.10 [9787]~P62(x97872)+E(f326(f326(f8(x97871,x97872),f326(f326(f9(x97871,x97872,x97872),f326(f326(f10(x97872,f925(x97872,x97872),x97871),f290(x97872)),x97873)),x97874)),x97875),f326(f326(f290(x97872),f326(f326(f8(x97871,x97872),x97873),x97875)),x97874))
% 225.13/225.10 [9794]~P67(x97942)+E(f326(f326(f8(x97941,x97942),f326(f326(f20(x97941,x97942,x97942),f326(f326(f10(x97942,f925(x97942,x97942),x97941),f3(x97942)),x97943)),x97944)),x97945),f326(f326(f3(x97942),f326(f326(f8(x97941,x97942),x97943),x97945)),f326(f326(f8(x97941,x97942),x97944),x97945)))
% 225.13/225.10 [9795]~P70(x97952)+E(f326(f326(f8(x97951,x97952),f326(f326(f20(x97951,x97952,x97952),f326(f326(f10(x97952,f925(x97952,x97952),x97951),f79(x97952)),x97953)),x97954)),x97955),f326(f326(f79(x97952),f326(f326(f8(x97951,x97952),x97953),x97955)),f326(f326(f8(x97951,x97952),x97954),x97955)))
% 225.13/225.10 [9796]~P69(x97962)+E(f326(f326(f11(x97961,x97962),f326(f326(f20(x97961,x97962,x97962),f326(f326(f10(x97962,f925(x97962,x97962),x97961),f80(x97962)),x97963)),x97964)),x97965),f326(f326(f80(x97962),f326(f326(f11(x97961,x97962),x97963),x97965)),f326(f326(f11(x97961,x97962),x97964),x97965)))
% 225.13/225.10 [9834]~E(x98343,f188(f925(x98341,a913)))+E(f326(f326(f38(x98341,f925(x98342,a913)),x98343),f326(f326(f9(x98341,f925(x98342,a913),f925(x98342,a913)),f326(f326(f10(f925(x98342,a913),f925(f925(x98342,a913),f925(x98342,a913)),x98341),f101(f925(x98342,a913))),x98344)),x98345)),f188(f925(x98342,a913)))
% 225.13/225.10 [9835]~E(x98353,f188(f925(x98351,a913)))+E(f326(f326(f39(x98351,f925(x98352,a913)),x98353),f326(f326(f9(x98351,f925(x98352,a913),f925(x98352,a913)),f326(f326(f10(f925(x98352,a913),f925(f925(x98352,a913),f925(x98352,a913)),x98351),f3(f925(x98352,a913))),x98354)),x98355)),f241(f925(x98352,a913)))
% 225.13/225.10 [9836]~E(x98363,f188(f925(x98361,a913)))+E(f326(f326(f39(x98361,f925(x98362,a913)),x98363),f326(f326(f9(x98361,f925(x98362,a913),f925(x98362,a913)),f326(f326(f10(f925(x98362,a913),f925(f925(x98362,a913),f925(x98362,a913)),x98361),f102(f925(x98362,a913))),x98364)),x98365)),f241(f925(x98362,a913)))
% 225.13/225.10 [9857]E(x98571,f188(f925(x98572,a913)))+E(f326(f326(f38(x98572,f925(x98573,a913)),x98571),f326(f326(f9(x98572,f925(x98573,a913),f925(x98573,a913)),f326(f326(f10(f925(x98573,a913),f925(f925(x98573,a913),f925(x98573,a913)),x98572),f101(f925(x98573,a913))),x98574)),x98575)),f326(f326(f101(f925(x98573,a913)),f326(f326(f38(x98572,f925(x98573,a913)),x98571),x98574)),x98575))
% 225.13/225.10 [9858]E(x98581,f188(f925(x98582,a913)))+E(f326(f326(f39(x98582,f925(x98583,a913)),x98581),f326(f326(f9(x98582,f925(x98583,a913),f925(x98583,a913)),f326(f326(f10(f925(x98583,a913),f925(f925(x98583,a913),f925(x98583,a913)),x98582),f3(f925(x98583,a913))),x98584)),x98585)),f326(f326(f3(f925(x98583,a913)),f326(f326(f39(x98582,f925(x98583,a913)),x98581),x98584)),x98585))
% 225.13/225.10 [9859]E(x98591,f188(f925(x98592,a913)))+E(f326(f326(f39(x98592,f925(x98593,a913)),x98591),f326(f326(f9(x98592,f925(x98593,a913),f925(x98593,a913)),f326(f326(f10(f925(x98593,a913),f925(f925(x98593,a913),f925(x98593,a913)),x98592),f102(f925(x98593,a913))),x98594)),x98595)),f326(f326(f102(f925(x98593,a913)),f326(f326(f39(x98592,f925(x98593,a913)),x98591),x98594)),x98595))
% 225.13/225.10 [9410]~P105(f326(f326(f234(a917),x94101),x94104))+E(f326(f326(f3(a917),f326(f326(f79(a917),f326(f326(f80(a917),x94101),x94102)),x94103)),f326(f326(f79(a917),f326(f326(f80(a917),x94104),x94102)),x94105)),f326(f326(f3(a917),x94103),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x94104),x94101)),x94102)),x94105)))
% 225.13/225.10 [10007]~P146(x100071)+E(f326(f165(x100071),f326(f326(f154(x100072,x100071),f326(f326(f9(x100072,x100071,x100071),f326(f326(f10(x100071,f925(x100071,x100071),x100072),f80(x100071)),x100073)),x100074)),x100075)),f326(f326(f80(x100071),f326(f165(x100071),f326(f326(f154(x100072,x100071),x100073),x100075))),x100074))
% 225.13/225.10 [10013]~P67(x100131)+E(f326(f165(x100131),f326(f326(f154(x100132,x100131),f326(f326(f20(x100132,x100131,x100131),f326(f326(f10(x100131,f925(x100131,x100131),x100132),f3(x100131)),x100133)),x100134)),x100135)),f326(f326(f3(x100131),f326(f165(x100131),f326(f326(f154(x100132,x100131),x100133),x100135))),f326(f165(x100131),f326(f326(f154(x100132,x100131),x100134),x100135))))
% 225.13/225.10 [10014]~P70(x100141)+E(f326(f165(x100141),f326(f326(f154(x100142,x100141),f326(f326(f20(x100142,x100141,x100141),f326(f326(f10(x100141,f925(x100141,x100141),x100142),f79(x100141)),x100143)),x100144)),x100145)),f326(f326(f79(x100141),f326(f165(x100141),f326(f326(f154(x100142,x100141),x100143),x100145))),f326(f165(x100141),f326(f326(f154(x100142,x100141),x100144),x100145))))
% 225.13/225.10 [10163]P105(f326(x101631,f326(f326(f181(x101632,x101633),x101634),x101635)))+~P105(f326(x101631,f326(f326(f181(x101632,x101633),f326(f326(f175(x101632),f326(f326(f238(a917),f326(f189(f918(x101632)),x101634)),f326(f189(f918(x101633)),x101635))),x101634)),f326(f326(f175(x101633),f326(f326(f238(a917),f326(f189(f918(x101632)),x101634)),f326(f189(f918(x101633)),x101635))),x101635))))
% 225.13/225.10 [10426]~P105(f326(f326(f328(f924(x104262,x104261)),f326(f326(f251(x104262,x104261),x104264),x104265)),f326(f285(x104261,x104262),x104263)))+P105(f326(f326(f242(x104261,x104262,f326(f326(f9(x104261,f925(f924(x104261,x104262),a913),f925(x104262,a913)),f326(f326(f10(f925(x104262,f925(f925(f924(x104261,x104262),a913),a913)),f925(f925(f924(x104261,x104262),a913),f925(x104262,a913)),x104261),f9(x104262,f925(f924(x104261,x104262),a913),a913)),f326(f326(f10(f925(x104262,f924(x104261,x104262)),f925(x104262,f925(f925(f924(x104261,x104262),a913),a913)),x104261),f326(f10(f924(x104261,x104262),f925(f925(f924(x104261,x104262),a913),a913),x104262),f328(f924(x104261,x104262)))),f251(x104261,x104262)))),x104263)),x104264),x104265))
% 225.13/225.10 [10436]P105(f326(f326(f328(f924(x104361,x104362)),f326(f326(f251(x104361,x104362),x104363),x104364)),f326(f285(x104362,x104361),x104365)))+~P105(f326(f326(f242(x104362,x104361,f326(f326(f9(x104362,f925(f924(x104362,x104361),a913),f925(x104361,a913)),f326(f326(f10(f925(x104361,f925(f925(f924(x104362,x104361),a913),a913)),f925(f925(f924(x104362,x104361),a913),f925(x104361,a913)),x104362),f9(x104361,f925(f924(x104362,x104361),a913),a913)),f326(f326(f10(f925(x104361,f924(x104362,x104361)),f925(x104361,f925(f925(f924(x104362,x104361),a913),a913)),x104362),f326(f10(f924(x104362,x104361),f925(f925(f924(x104362,x104361),a913),a913),x104361),f328(f924(x104362,x104361)))),f251(x104362,x104361)))),x104365)),x104363),x104364))
% 225.13/225.10 [9663]~P105(f326(f326(f234(a917),x96634),x96631))+E(f326(f326(f3(a917),f326(f326(f79(a917),f326(f326(f80(a917),x96631),x96632)),x96633)),f326(f326(f79(a917),f326(f326(f80(a917),x96634),x96632)),x96635)),f326(f326(f3(a917),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x96631),x96634)),x96632)),x96633)),x96635))
% 225.13/225.10 [5446]E(x54461,x54462)+~E(f27(x54463,x54464,x54461),f27(x54465,x54466,x54462))
% 225.13/225.10 [5447]E(x54471,x54472)+~E(f27(x54473,x54471,x54474),f27(x54475,x54472,x54476))
% 225.13/225.10 [5448]E(x54481,x54482)+~E(f27(x54481,x54483,x54484),f27(x54482,x54485,x54486))
% 225.13/225.10 [5449]E(x54491,x54492)+~E(f26(x54493,x54494,x54491),f26(x54495,x54496,x54492))
% 225.13/225.10 [5450]E(x54501,x54502)+~E(f26(x54503,x54501,x54504),f26(x54505,x54502,x54506))
% 225.13/225.10 [5451]E(x54511,x54512)+~E(f26(x54511,x54513,x54514),f26(x54512,x54515,x54516))
% 225.13/225.10 [7476]E(x74761,x74762)+~E(f220(x74763,x74764,x74765,x74761),f220(x74763,x74764,x74766,x74762))
% 225.13/225.10 [7477]E(x74771,x74772)+~E(f220(x74773,x74774,x74771,x74775),f220(x74773,x74774,x74772,x74776))
% 225.13/225.10 [8592]~P19(x85925,x85921,x85922,x85926)+E(f326(f72(x85921,x85921,x85921,f326(x85922,x85923)),f326(x85922,x85924)),f326(f72(x85921,x85921,x85921,f326(x85922,x85924)),f326(x85922,x85923)))
% 225.13/225.10 [8826]~P56(x88264,x88265,x88262,x88261,x88266)+E(f326(x88261,f326(x88262,x88263)),x88263)
% 225.13/225.10 [8993]P25(x89931,x89932,x89933,x89934)+~P25(x89931,x89935,f326(f72(x89932,x89935,x89931,x89936),x89933),x89934)
% 225.13/225.10 [9066]~E(x90666,x90664)+E(f326(f74(x90661,x90662,x90663,x90664,x90665),x90666),x90665)
% 225.13/225.10 [9072]E(x90721,x90722)+E(f326(f74(x90723,x90724,x90725,x90722,x90726),x90721),f326(x90725,x90721))
% 225.13/225.10 [9084]~P25(x90844,x90842,f326(f72(x90841,x90842,x90844,x90843),x90845),x90846)+P25(x90841,x90842,x90843,f326(f309(x90844,x90841,x90845),x90846))
% 225.13/225.10 [9797]P105(f326(f60(x97971),x97972))+~P105(f326(f65(x97971,x97973,x97974,x97975,x97972),x97976))
% 225.13/225.10 [9806]~P105(f326(f326(f328(x98064),x98063),f299(x98064,x98065,x98061,x98062,x98066)))+P105(f326(f326(x98061,x98062),x98063))
% 225.13/225.10 [9807]~P105(f326(f326(f328(x98074),x98073),f296(x98074,x98071,x98075,x98072,x98076)))+P105(f326(f326(x98071,x98072),x98073))
% 225.13/225.10 [9808]~P105(f326(f326(f328(x98084),x98082),f299(x98084,x98081,x98085,x98086,x98083)))+P105(f326(f326(x98081,x98082),x98083))
% 225.13/225.10 [9809]~P105(f326(f326(f328(x98094),x98092),f296(x98094,x98095,x98091,x98096,x98093)))+P105(f326(f326(x98091,x98092),x98093))
% 225.13/225.10 [10313]P12(x103131,x103132,x103133,x103134,x103135,x103136)+~E(f326(f326(x103136,f842(x103133,x103136,x103135,x103132,x103134,x103131)),f850(x103133,x103136,x103135,x103132,x103134,x103131)),f326(f326(x103136,f843(x103133,x103136,x103135,x103132,x103134,x103131)),f851(x103133,x103136,x103135,x103132,x103134,x103131)))
% 225.13/225.10 [5959]E(x59591,x59592)+~E(f326(f326(f251(x59593,x59594),x59595),x59591),f326(f326(f251(x59593,x59594),x59596),x59592))
% 225.13/225.10 [5961]E(x59611,x59612)+~E(f326(f326(f251(x59613,x59614),x59611),x59615),f326(f326(f251(x59613,x59614),x59612),x59616))
% 225.13/225.10 [6103]~P16(x61035,x61036,x61031)+E(f326(f326(x61031,x61032),f326(f326(x61031,x61033),x61034)),f326(f326(x61031,x61033),f326(f326(x61031,x61032),x61034)))
% 225.13/225.10 [7541]~P32(x75414,x75411,f326(f326(f151(x75414),x75412),x75415),f326(f326(f151(x75414),x75413),x75416))+P105(f326(f326(x75411,x75412),x75413))
% 225.13/225.10 [7898]P32(x78981,x78982,x78983,x78984)+~P32(x78981,x78982,f326(f326(f151(x78981),x78985),x78983),f326(f326(f151(x78981),x78986),x78984))
% 225.13/225.10 [8930]~P56(x89305,x89301,x89302,x89306,x89304)+P105(f326(f326(f328(x89301),f326(x89302,x89303)),x89304))
% 225.13/225.10 [9132]~E(x91323,f326(f326(f151(x91321),x91325),x91326))+P105(f326(f326(f328(f924(f918(x91321),f918(x91321))),f326(f326(f251(f918(x91321),f918(x91321)),x91322),f326(f326(f134(x91321),x91322),x91323))),f147(x91321,x91324)))
% 225.13/225.10 [9365]~P34(x93651,x93652,x93653,x93655,x93656)+P34(x93651,x93652,x93653,f326(f326(f175(x93651),x93654),x93655),f326(f326(f175(x93652),x93654),x93656))
% 225.13/225.10 [9366]~P34(x93661,x93662,x93663,x93665,x93666)+P34(x93661,x93662,x93663,f326(f326(f138(x93661),x93664),x93665),f326(f326(f138(x93662),x93664),x93666))
% 225.13/225.10 [9627]E(f326(f309(x96271,x96272,f74(x96271,x96272,x96273,x96274,x96275)),x96276),f326(f309(x96271,x96272,x96273),x96276))+P105(f326(f326(f328(x96271),x96274),x96276))
% 225.13/225.10 [9630]E(f326(f326(f154(x96301,x96302),f74(x96301,x96302,x96303,x96304,x96305)),x96306),f326(f326(f154(x96301,x96302),x96303),x96306))+P105(f326(f326(f328(x96301),x96304),f326(f172(x96301),x96306)))
% 225.13/225.10 [9869]~P23(x98694,x98692,x98695,x98693,x98696,x98691)+E(f326(x98691,f188(f925(x98692,a913))),x98693)
% 225.13/225.10 [10104]~E(f326(x101044,f326(f250(x101041,x101043),x101045)),f326(x101046,f326(f250(x101041,x101043),x101045)))+E(f326(f257(x101041,x101042,x101043,x101043,x101044,f31(x101043)),x101045),f326(f257(x101041,x101042,x101043,x101043,x101046,f31(x101043)),x101045))
% 225.13/225.10 [10105]~E(f326(x101054,f326(f255(x101051,x101052),x101055)),f326(x101056,f326(f255(x101051,x101052),x101055)))+E(f326(f257(x101051,x101051,x101052,x101053,f31(x101051),x101054),x101055),f326(f257(x101051,x101051,x101052,x101053,f31(x101051),x101056),x101055))
% 225.13/225.10 [10158]~E(f326(f257(x101582,x101586,x101583,x101583,x101581,f31(x101583)),x101584),f326(f257(x101582,x101586,x101583,x101583,x101585,f31(x101583)),x101584))+E(f326(x101581,f326(f250(x101582,x101583),x101584)),f326(x101585,f326(f250(x101582,x101583),x101584)))
% 225.13/225.10 [10159]~E(f326(f257(x101592,x101592,x101593,x101596,f31(x101592),x101591),x101594),f326(f257(x101592,x101592,x101593,x101596,f31(x101592),x101595),x101594))+E(f326(x101591,f326(f255(x101592,x101593),x101594)),f326(x101595,f326(f255(x101592,x101593),x101594)))
% 225.13/225.10 [9033]P105(f326(f326(f328(x90331),x90332),x90333))+~P105(f326(f326(f328(f924(x90331,x90334)),f326(f326(f251(x90331,x90334),x90332),x90335)),f326(f326(f253(x90331,x90334),x90333),x90336)))
% 225.13/225.10 [9049]P105(f326(f326(f328(x90491),x90492),f326(x90493,x90494)))+~P105(f326(f326(f328(f924(x90495,x90491)),f326(f326(f251(x90495,x90491),x90494),x90492)),f326(f326(f253(x90495,x90491),x90496),x90493)))
% 225.13/225.10 [9484]P105(f326(f326(f328(f924(x94841,x94841)),f326(f326(f251(x94841,x94841),f326(x94842,x94843)),f326(x94842,x94844))),x94845))+~P105(f326(f326(f328(f924(x94846,x94846)),f326(f326(f251(x94846,x94846),x94843),x94844)),f326(f326(f287(x94841,x94846),x94845),x94842)))
% 225.13/225.10 [9504]~P105(f326(f326(f328(f924(x95044,x95044)),f326(f326(f251(x95044,x95044),f326(x95046,x95042)),f326(x95046,x95043))),x95045))+P105(f326(f326(f328(f924(x95041,x95041)),f326(f326(f251(x95041,x95041),x95042),x95043)),f326(f326(f287(x95044,x95041),x95045),x95046)))
% 225.13/225.10 [10161]E(f326(f326(f251(x101611,x101612),f647(x101613,x101614,x101615,x101616,x101612,x101611)),f648(x101613,x101614,x101615,x101616,x101612,x101611)),x101616)+~P105(f326(f326(f328(f924(x101611,x101612)),x101616),f326(f326(f288(x101611,x101615,x101612),x101614),x101613)))
% 225.13/225.10 [10381]~P105(f326(f326(f328(f924(x103811,x103816)),x103815),f326(f326(f288(x103811,x103812,x103816),x103814),x103813)))+P105(f326(f326(f328(f924(x103811,x103812)),f326(f326(f251(x103811,x103812),f647(x103813,x103814,x103812,x103815,x103816,x103811)),f649(x103813,x103814,x103812,x103815,x103816,x103811))),x103814))
% 225.13/225.10 [10382]~P105(f326(f326(f328(f924(x103826,x103822)),x103825),f326(f326(f288(x103826,x103821,x103822),x103824),x103823)))+P105(f326(f326(f328(f924(x103821,x103822)),f326(f326(f251(x103821,x103822),f649(x103823,x103824,x103821,x103825,x103822,x103826)),f648(x103823,x103824,x103821,x103825,x103822,x103826))),x103823))
% 225.13/225.10 [10383]P12(x103831,x103832,x103833,x103834,x103835,x103836)+P105(f326(f326(f328(f924(x103832,x103832)),f326(f326(f251(x103832,x103832),f851(x103833,x103836,x103835,x103832,x103834,x103831)),f850(x103833,x103836,x103835,x103832,x103834,x103831))),x103835))
% 225.13/225.10 [10384]P12(x103841,x103842,x103843,x103844,x103845,x103846)+P105(f326(f326(f328(f924(x103841,x103841)),f326(f326(f251(x103841,x103841),f843(x103843,x103846,x103845,x103842,x103844,x103841)),f842(x103843,x103846,x103845,x103842,x103844,x103841))),x103844))
% 225.13/225.10 [7968]~P5(x79682)+E(f326(f326(f38(x79681,x79682),x79683),f326(f326(f9(x79681,x79684,x79682),x79685),x79686)),f326(f326(f326(f38(x79681,f925(x79684,x79682)),x79683),x79685),x79686))
% 225.13/225.10 [7969]~P5(x79692)+E(f326(f326(f39(x79691,x79692),x79693),f326(f326(f9(x79691,x79694,x79692),x79695),x79696)),f326(f326(f326(f39(x79691,f925(x79694,x79692)),x79693),x79695),x79696))
% 225.13/225.10 [8736]E(f326(f326(f38(x87361,f925(x87362,a913)),x87363),f326(f326(f10(f925(x87362,a913),f925(x87362,a913),x87361),f326(f308(x87362),x87364)),x87365)),f326(f326(f308(x87362),x87364),f326(f326(f38(x87361,f925(x87362,a913)),x87363),x87365)))+~P105(f326(f326(f328(x87361),x87366),x87363))
% 225.13/225.10 [9185]~P5(x91852)+E(f326(f326(f38(x91851,x91852),x91853),f326(f326(f10(f925(x91854,x91852),x91852,x91851),f326(f38(x91854,x91852),x91855)),f326(f9(x91854,x91851,x91852),x91856))),f326(f326(f38(x91854,x91852),x91855),f326(f326(f10(f925(x91851,x91852),x91852,x91854),f326(f38(x91851,x91852),x91853)),x91856)))
% 225.13/225.10 [9186]~P5(x91862)+E(f326(f326(f39(x91861,x91862),x91863),f326(f326(f10(f925(x91864,x91862),x91862,x91861),f326(f39(x91864,x91862),x91865)),f326(f9(x91864,x91861,x91862),x91866))),f326(f326(f39(x91864,x91862),x91865),f326(f326(f10(f925(x91861,x91862),x91862,x91864),f326(f39(x91861,x91862),x91863)),x91866)))
% 225.13/225.10 [9390]P105(f326(f326(f328(x93901),x93902),f326(f172(x93901),x93903)))+~P105(f326(f326(f328(f924(x93904,x93901)),f326(f326(f251(x93904,x93901),x93905),x93902)),f326(f172(f924(x93904,x93901)),f326(f326(f181(x93904,x93901),x93906),x93903))))
% 225.13/225.10 [9391]P105(f326(f326(f328(x93911),x93912),f326(f172(x93911),x93913)))+~P105(f326(f326(f328(f924(x93911,x93914)),f326(f326(f251(x93911,x93914),x93912),x93915)),f326(f172(f924(x93911,x93914)),f326(f326(f181(x93911,x93914),x93913),x93916))))
% 225.13/225.10 [9500]P105(f326(f326(f234(f925(x95001,a913)),f326(f284(x95002,x95001,x95003),x95004)),x95005))+~P105(f326(f326(f234(f925(f924(x95002,x95001),a913)),x95003),f326(f326(f253(x95002,x95001),x95006),f326(f18(f925(x95001,a913),x95002),x95005))))
% 225.13/225.10 [9505]~P26(x95054,x95052,x95055,f241(f925(x95054,a913)),f241(f925(x95052,a913)))+E(f326(f326(f39(x95051,f925(x95052,a913)),x95053),f326(f326(f10(f925(x95054,a913),f925(x95052,a913),x95051),f309(x95054,x95052,x95055)),x95056)),f326(f309(x95054,x95052,x95055),f326(f326(f39(x95051,f925(x95054,a913)),x95053),x95056)))
% 225.13/225.10 [9701]P105(f326(f326(f328(f924(f918(x97011),f918(x97011))),f326(f326(f251(f918(x97011),f918(x97011)),f326(f326(f151(x97011),x97012),x97013)),f326(f326(f151(x97011),x97014),x97015))),f147(x97011,x97016)))+~P105(f326(f326(f328(f924(x97011,x97011)),f326(f326(f251(x97011,x97011),x97012),x97014)),x97016))
% 225.13/225.10 [10157]E(f326(f326(f251(x101571,x101572),f593(x101573,x101574,x101575,x101572,x101571,x101576)),f596(x101573,x101574,x101575,x101572,x101571,x101576)),x101576)+P105(f326(f326(f328(x101575),x101574),f326(f326(f256(x101571,x101572,f925(x101575,a913)),x101573),x101576)))
% 225.13/225.10 [10164]E(f326(f326(f251(x101641,x101642),f594(x101643,x101644,x101642,x101641,x101645,x101646)),f595(x101643,x101644,x101642,x101641,x101645,x101646)),x101643)+~P105(f326(f326(f328(x101646),x101645),f326(f326(f256(x101641,x101642,f925(x101646,a913)),x101644),x101643)))
% 225.13/225.10 [10328]P105(f326(f326(f328(x103281),x103282),f326(f326(x103283,f594(x103284,x103283,x103285,x103286,x103282,x103281)),f595(x103284,x103283,x103285,x103286,x103282,x103281))))+~P105(f326(f326(f328(x103281),x103282),f326(f326(f256(x103286,x103285,f925(x103281,a913)),x103283),x103284)))
% 225.13/225.10 [10353]~P105(f326(f326(f328(x103531),x103532),f326(f326(x103535,f593(x103535,x103532,x103531,x103534,x103533,x103536)),f596(x103535,x103532,x103531,x103534,x103533,x103536))))+P105(f326(f326(f328(x103531),x103532),f326(f326(f256(x103533,x103534,f925(x103531,a913)),x103535),x103536)))
% 225.13/225.10 [8637]E(x86371,x86372)+E(f326(f326(f159(x86373,f326(f326(f159(x86373,x86374),x86371),x86375)),x86372),x86376),f326(f326(f159(x86373,f326(f326(f159(x86373,x86374),x86372),x86376)),x86371),x86375))
% 225.13/225.10 [9761]~P105(f326(f326(f328(x97613),x97616),x97615))+E(f326(f326(f308(x97611),x97612),f326(f309(x97613,x97611,x97614),f326(f326(f3(f925(x97613,a913)),x97615),f326(f326(f308(x97613),x97616),f188(f925(x97613,a913)))))),f326(f309(x97613,x97611,f74(x97613,x97611,x97614,x97616,x97612)),x97615))
% 225.13/225.10 [9264]~P105(f326(f326(x92644,x92645),x92646))+P105(f326(f326(f326(f326(f101(f925(x92641,f925(x92642,a913))),x92643),x92644),x92645),x92646))
% 225.13/225.10 [9266]~P105(f326(f326(x92663,x92665),x92666))+P105(f326(f326(f326(f326(f101(f925(x92661,f925(x92662,a913))),x92663),x92664),x92665),x92666))
% 225.13/225.10 [9555]P105(f326(f326(x95551,x95552),x95553))+~P105(f326(f326(f326(f326(f102(f925(x95554,f925(x95555,a913))),x95556),x95551),x95552),x95553))
% 225.13/225.10 [9556]P105(f326(f326(x95561,x95562),x95563))+~P105(f326(f326(f326(f326(f102(f925(x95564,f925(x95565,a913))),x95561),x95566),x95562),x95563))
% 225.13/225.10 [9995]~P70(x99952)+E(f326(f326(f8(x99951,x99952),f326(f326(f9(x99951,f925(x99953,a913),x99952),f326(f326(f10(f925(x99953,x99952),f925(f925(x99953,a913),x99952),x99951),f8(x99953,x99952)),x99954)),x99955)),x99956),f326(f326(f8(f924(x99951,x99953),x99952),f326(f256(x99951,x99953,x99952),x99954)),f326(f326(f253(x99951,x99953),x99956),f326(f18(f925(x99953,a913),x99951),x99955))))
% 225.13/225.10 [9996]~P69(x99962)+E(f326(f326(f11(x99961,x99962),f326(f326(f9(x99961,f925(x99963,a913),x99962),f326(f326(f10(f925(x99963,x99962),f925(f925(x99963,a913),x99962),x99961),f11(x99963,x99962)),x99964)),x99965)),x99966),f326(f326(f11(f924(x99961,x99963),x99962),f326(f256(x99961,x99963,x99962),x99964)),f326(f326(f253(x99961,x99963),x99966),f326(f18(f925(x99963,a913),x99961),x99965))))
% 225.13/225.10 [10129]~P70(x101292)+E(f326(f326(f8(x101291,x101292),f326(f326(f9(x101291,f925(x101293,a913),x101292),f326(f326(f10(f925(x101293,x101292),f925(f925(x101293,a913),x101292),x101291),f8(x101293,x101292)),f326(f9(x101293,x101291,x101292),x101294))),x101295)),x101296),f326(f326(f8(x101293,x101292),f326(f326(f9(x101293,f925(x101291,a913),x101292),f326(f326(f10(f925(x101291,x101292),f925(f925(x101291,a913),x101292),x101293),f8(x101291,x101292)),x101294)),x101296)),x101295))
% 225.13/225.10 [10448]~P105(f326(f326(f328(f924(x104481,x104482)),f326(f326(f251(x104481,x104482),x104485),x104486)),f326(f326(f101(f925(f924(x104481,x104482),a913)),x104483),x104484)))+P105(f326(f326(f326(f326(f101(f925(x104481,f925(x104482,a913))),f326(f326(f9(x104481,f925(f924(x104481,x104482),a913),f925(x104482,a913)),f326(f326(f10(f925(x104482,f925(f925(f924(x104481,x104482),a913),a913)),f925(f925(f924(x104481,x104482),a913),f925(x104482,a913)),x104481),f9(x104482,f925(f924(x104481,x104482),a913),a913)),f326(f326(f10(f925(x104482,f924(x104481,x104482)),f925(x104482,f925(f925(f924(x104481,x104482),a913),a913)),x104481),f326(f10(f924(x104481,x104482),f925(f925(f924(x104481,x104482),a913),a913),x104482),f328(f924(x104481,x104482)))),f251(x104481,x104482)))),x104483)),f326(f326(f9(x104481,f925(f924(x104481,x104482),a913),f925(x104482,a913)),f326(f326(f10(f925(x104482,f925(f925(f924(x104481,x104482),a913),a913)),f925(f925(f924(x104481,x104482),a913),f925(x104482,a913)),x104481),f9(x104482,f925(f924(x104481,x104482),a913),a913)),f326(f326(f10(f925(x104482,f924(x104481,x104482)),f925(x104482,f925(f925(f924(x104481,x104482),a913),a913)),x104481),f326(f10(f924(x104481,x104482),f925(f925(f924(x104481,x104482),a913),a913),x104482),f328(f924(x104481,x104482)))),f251(x104481,x104482)))),x104484)),x104485),x104486))
% 225.13/225.10 [10449]~P105(f326(f326(f328(f924(x104491,x104492)),f326(f326(f251(x104491,x104492),x104495),x104496)),f326(f326(f102(f925(f924(x104491,x104492),a913)),x104493),x104494)))+P105(f326(f326(f326(f326(f102(f925(x104491,f925(x104492,a913))),f326(f326(f9(x104491,f925(f924(x104491,x104492),a913),f925(x104492,a913)),f326(f326(f10(f925(x104492,f925(f925(f924(x104491,x104492),a913),a913)),f925(f925(f924(x104491,x104492),a913),f925(x104492,a913)),x104491),f9(x104492,f925(f924(x104491,x104492),a913),a913)),f326(f326(f10(f925(x104492,f924(x104491,x104492)),f925(x104492,f925(f925(f924(x104491,x104492),a913),a913)),x104491),f326(f10(f924(x104491,x104492),f925(f925(f924(x104491,x104492),a913),a913),x104492),f328(f924(x104491,x104492)))),f251(x104491,x104492)))),x104493)),f326(f326(f9(x104491,f925(f924(x104491,x104492),a913),f925(x104492,a913)),f326(f326(f10(f925(x104492,f925(f925(f924(x104491,x104492),a913),a913)),f925(f925(f924(x104491,x104492),a913),f925(x104492,a913)),x104491),f9(x104492,f925(f924(x104491,x104492),a913),a913)),f326(f326(f10(f925(x104492,f924(x104491,x104492)),f925(x104492,f925(f925(f924(x104491,x104492),a913),a913)),x104491),f326(f10(f924(x104491,x104492),f925(f925(f924(x104491,x104492),a913),a913),x104492),f328(f924(x104491,x104492)))),f251(x104491,x104492)))),x104494)),x104495),x104496))
% 225.13/225.10 [10458]P105(f326(f326(f328(f924(x104581,x104582)),f326(f326(f251(x104581,x104582),x104583),x104584)),f326(f326(f101(f925(f924(x104581,x104582),a913)),x104585),x104586)))+~P105(f326(f326(f326(f326(f101(f925(x104581,f925(x104582,a913))),f326(f326(f9(x104581,f925(f924(x104581,x104582),a913),f925(x104582,a913)),f326(f326(f10(f925(x104582,f925(f925(f924(x104581,x104582),a913),a913)),f925(f925(f924(x104581,x104582),a913),f925(x104582,a913)),x104581),f9(x104582,f925(f924(x104581,x104582),a913),a913)),f326(f326(f10(f925(x104582,f924(x104581,x104582)),f925(x104582,f925(f925(f924(x104581,x104582),a913),a913)),x104581),f326(f10(f924(x104581,x104582),f925(f925(f924(x104581,x104582),a913),a913),x104582),f328(f924(x104581,x104582)))),f251(x104581,x104582)))),x104585)),f326(f326(f9(x104581,f925(f924(x104581,x104582),a913),f925(x104582,a913)),f326(f326(f10(f925(x104582,f925(f925(f924(x104581,x104582),a913),a913)),f925(f925(f924(x104581,x104582),a913),f925(x104582,a913)),x104581),f9(x104582,f925(f924(x104581,x104582),a913),a913)),f326(f326(f10(f925(x104582,f924(x104581,x104582)),f925(x104582,f925(f925(f924(x104581,x104582),a913),a913)),x104581),f326(f10(f924(x104581,x104582),f925(f925(f924(x104581,x104582),a913),a913),x104582),f328(f924(x104581,x104582)))),f251(x104581,x104582)))),x104586)),x104583),x104584))
% 225.13/225.10 [10459]P105(f326(f326(f328(f924(x104591,x104592)),f326(f326(f251(x104591,x104592),x104593),x104594)),f326(f326(f102(f925(f924(x104591,x104592),a913)),x104595),x104596)))+~P105(f326(f326(f326(f326(f102(f925(x104591,f925(x104592,a913))),f326(f326(f9(x104591,f925(f924(x104591,x104592),a913),f925(x104592,a913)),f326(f326(f10(f925(x104592,f925(f925(f924(x104591,x104592),a913),a913)),f925(f925(f924(x104591,x104592),a913),f925(x104592,a913)),x104591),f9(x104592,f925(f924(x104591,x104592),a913),a913)),f326(f326(f10(f925(x104592,f924(x104591,x104592)),f925(x104592,f925(f925(f924(x104591,x104592),a913),a913)),x104591),f326(f10(f924(x104591,x104592),f925(f925(f924(x104591,x104592),a913),a913),x104592),f328(f924(x104591,x104592)))),f251(x104591,x104592)))),x104595)),f326(f326(f9(x104591,f925(f924(x104591,x104592),a913),f925(x104592,a913)),f326(f326(f10(f925(x104592,f925(f925(f924(x104591,x104592),a913),a913)),f925(f925(f924(x104591,x104592),a913),f925(x104592,a913)),x104591),f9(x104592,f925(f924(x104591,x104592),a913),a913)),f326(f326(f10(f925(x104592,f924(x104591,x104592)),f925(x104592,f925(f925(f924(x104591,x104592),a913),a913)),x104591),f326(f10(f924(x104591,x104592),f925(f925(f924(x104591,x104592),a913),a913),x104592),f328(f924(x104591,x104592)))),f251(x104591,x104592)))),x104596)),x104593),x104594))
% 225.13/225.10 [10442]~P105(f326(f326(f328(f924(x104422,x104423)),f326(f326(f251(x104422,x104423),x104425),x104426)),f326(f326(f38(x104421,f925(f924(x104422,x104423),a913)),f241(f925(x104421,a913))),x104424)))+P105(f326(f326(f326(f326(f38(x104421,f925(x104422,f925(x104423,a913))),f241(f925(x104421,a913))),f326(f326(f10(f925(f924(x104422,x104423),a913),f925(x104422,f925(x104423,a913)),x104421),f326(f9(x104422,f925(f924(x104422,x104423),a913),f925(x104423,a913)),f326(f326(f10(f925(x104423,f925(f925(f924(x104422,x104423),a913),a913)),f925(f925(f924(x104422,x104423),a913),f925(x104423,a913)),x104422),f9(x104423,f925(f924(x104422,x104423),a913),a913)),f326(f326(f10(f925(x104423,f924(x104422,x104423)),f925(x104423,f925(f925(f924(x104422,x104423),a913),a913)),x104422),f326(f10(f924(x104422,x104423),f925(f925(f924(x104422,x104423),a913),a913),x104423),f328(f924(x104422,x104423)))),f251(x104422,x104423))))),x104424)),x104425),x104426))
% 225.13/225.10 [10443]~P105(f326(f326(f328(f924(x104432,x104433)),f326(f326(f251(x104432,x104433),x104435),x104436)),f326(f326(f39(x104431,f925(f924(x104432,x104433),a913)),f241(f925(x104431,a913))),x104434)))+P105(f326(f326(f326(f326(f39(x104431,f925(x104432,f925(x104433,a913))),f241(f925(x104431,a913))),f326(f326(f10(f925(f924(x104432,x104433),a913),f925(x104432,f925(x104433,a913)),x104431),f326(f9(x104432,f925(f924(x104432,x104433),a913),f925(x104433,a913)),f326(f326(f10(f925(x104433,f925(f925(f924(x104432,x104433),a913),a913)),f925(f925(f924(x104432,x104433),a913),f925(x104433,a913)),x104432),f9(x104433,f925(f924(x104432,x104433),a913),a913)),f326(f326(f10(f925(x104433,f924(x104432,x104433)),f925(x104433,f925(f925(f924(x104432,x104433),a913),a913)),x104432),f326(f10(f924(x104432,x104433),f925(f925(f924(x104432,x104433),a913),a913),x104433),f328(f924(x104432,x104433)))),f251(x104432,x104433))))),x104434)),x104435),x104436))
% 225.13/225.10 [10452]P105(f326(f326(f328(f924(x104521,x104522)),f326(f326(f251(x104521,x104522),x104523),x104524)),f326(f326(f38(x104525,f925(f924(x104521,x104522),a913)),f241(f925(x104525,a913))),x104526)))+~P105(f326(f326(f326(f326(f38(x104525,f925(x104521,f925(x104522,a913))),f241(f925(x104525,a913))),f326(f326(f10(f925(f924(x104521,x104522),a913),f925(x104521,f925(x104522,a913)),x104525),f326(f9(x104521,f925(f924(x104521,x104522),a913),f925(x104522,a913)),f326(f326(f10(f925(x104522,f925(f925(f924(x104521,x104522),a913),a913)),f925(f925(f924(x104521,x104522),a913),f925(x104522,a913)),x104521),f9(x104522,f925(f924(x104521,x104522),a913),a913)),f326(f326(f10(f925(x104522,f924(x104521,x104522)),f925(x104522,f925(f925(f924(x104521,x104522),a913),a913)),x104521),f326(f10(f924(x104521,x104522),f925(f925(f924(x104521,x104522),a913),a913),x104522),f328(f924(x104521,x104522)))),f251(x104521,x104522))))),x104526)),x104523),x104524))
% 225.13/225.10 [10453]P105(f326(f326(f328(f924(x104531,x104532)),f326(f326(f251(x104531,x104532),x104533),x104534)),f326(f326(f39(x104535,f925(f924(x104531,x104532),a913)),f241(f925(x104535,a913))),x104536)))+~P105(f326(f326(f326(f326(f39(x104535,f925(x104531,f925(x104532,a913))),f241(f925(x104535,a913))),f326(f326(f10(f925(f924(x104531,x104532),a913),f925(x104531,f925(x104532,a913)),x104535),f326(f9(x104531,f925(f924(x104531,x104532),a913),f925(x104532,a913)),f326(f326(f10(f925(x104532,f925(f925(f924(x104531,x104532),a913),a913)),f925(f925(f924(x104531,x104532),a913),f925(x104532,a913)),x104531),f9(x104532,f925(f924(x104531,x104532),a913),a913)),f326(f326(f10(f925(x104532,f924(x104531,x104532)),f925(x104532,f925(f925(f924(x104531,x104532),a913),a913)),x104531),f326(f10(f924(x104531,x104532),f925(f925(f924(x104531,x104532),a913),a913),x104532),f328(f924(x104531,x104532)))),f251(x104531,x104532))))),x104536)),x104533),x104534))
% 225.13/225.10 [7473]E(x74731,x74732)+~E(f91(x74733,x74734,x74735,x74731),f91(x74733,x74736,x74737,x74732))
% 225.13/225.10 [7474]E(x74741,x74742)+~E(f91(x74743,x74744,x74741,x74745),f91(x74743,x74746,x74742,x74747))
% 225.13/225.10 [7475]E(x74751,x74752)+~E(f91(x74753,x74751,x74754,x74755),f91(x74753,x74752,x74756,x74757))
% 225.13/225.10 [7646]E(f326(x76461,f326(x76462,x76463)),f326(x76464,x76463))+~E(f326(f72(x76465,x76466,x76467,x76461),x76462),x76464)
% 225.13/225.10 [9777]E(x97771,x97772)+E(f74(x97773,x97774,f74(x97773,x97774,x97775,x97771,x97776),x97772,x97777),f74(x97773,x97774,f74(x97773,x97774,x97775,x97772,x97777),x97771,x97776))
% 225.13/225.10 [9868]~P22(x98683,x98684,x98681,x98685,x98686,x98687)+E(f326(f326(x98681,x98682),x98682),x98682)
% 225.13/225.10 [6205]~E(f326(f326(f154(x62051,x62055),x62056),x62052),f326(f326(f154(x62053,x62055),x62057),x62054))+E(f326(f189(f918(x62051)),x62052),f326(f189(f918(x62053)),x62054))
% 225.13/225.10 [8668]E(f326(x86681,f326(x86682,x86683)),f326(x86684,x86683))+~E(f326(f72(x86685,x86686,x86687,x86681),x86682),f326(f72(x86686,x86686,x86687,f31(x86686)),x86684))
% 225.13/225.10 [9022]~P34(x90224,x90225,x90221,f326(f326(f151(x90224),x90222),x90226),f326(f326(f151(x90225),x90223),x90227))+P105(f326(f326(x90221,x90222),x90223))
% 225.13/225.10 [9397]P34(x93971,x93972,x93973,x93974,x93975)+~P34(x93971,x93972,x93973,f326(f326(f151(x93971),x93976),x93974),f326(f326(f151(x93972),x93977),x93975))
% 225.13/225.10 [10028]P105(f326(f326(x100281,x100282),f565(x100283,x100282,x100284,x100281)))+~P105(f326(f326(f252(x100285,x100286,x100287,x100281,x100284),x100282),x100283))
% 225.13/225.10 [10053]P105(f326(f326(x100531,f565(x100532,x100533,x100531,x100534)),x100532))+~P105(f326(f326(f252(x100535,x100536,x100537,x100534,x100531),x100533),x100532))
% 225.13/225.10 [9139]~P20(x91396,x91391,x91393,x91397)+E(f326(f72(x91391,x91391,x91392,f326(x91393,x91394)),f326(f72(x91391,x91391,x91392,f326(x91393,x91394)),x91395)),f326(f72(x91391,x91391,x91392,f326(x91393,x91394)),x91395))
% 225.13/225.10 [9508]~P34(x95083,x95082,x95084,f326(f326(f154(x95081,x95083),x95085),x95086),x95087)+P34(x95081,x95082,f326(f326(f10(x95083,f925(x95082,a913),x95081),x95084),x95085),x95086,x95087)
% 225.13/225.10 [9531]P34(x95311,x95312,x95313,f326(f326(f154(x95314,x95311),x95315),x95316),x95317)+~P34(x95314,x95312,f326(f326(f10(x95311,f925(x95312,a913),x95314),x95313),x95315),x95316,x95317)
% 225.13/225.10 [9138]~P105(f326(f326(f328(x91381),x91382),f326(f326(x91385,x91386),x91387)))+P105(f326(f326(f328(x91381),x91382),f326(f326(f256(x91383,x91384,f925(x91381,a913)),x91385),f326(f326(f251(x91383,x91384),x91386),x91387))))
% 225.13/225.10 [9423]P105(f326(f326(f326(x94231,x94232),x94233),x94234))+~P105(f326(f326(f326(f256(x94235,x94236,f925(x94237,a913)),x94231),f326(f326(f251(x94235,x94236),x94232),x94233)),x94234))
% 225.13/225.10 [9570]P105(f326(f326(f328(x95701),f326(f326(x95702,x95703),x95704)),f326(f309(f924(x95705,x95706),x95701,f326(f256(x95705,x95706,x95701),x95702)),x95707)))+~P105(f326(f326(f328(f924(x95705,x95706)),f326(f326(f251(x95705,x95706),x95703),x95704)),x95707))
% 225.13/225.10 [9916]P105(f326(f326(f328(f924(f918(x99161),f918(x99161))),f326(f326(f251(f918(x99161),f918(x99161)),f326(f326(f134(x99161),x99162),f326(f326(f151(x99161),x99163),x99164))),f326(f326(f134(x99161),x99162),f326(f326(f151(x99161),x99165),x99166)))),f147(x99161,x99167)))+~P105(f326(f326(f328(f924(x99161,x99161)),f326(f326(f251(x99161,x99161),x99163),x99165)),x99167))
% 225.13/225.10 [9980]~P34(x99801,x99803,x99804,x99806,f326(f326(f154(x99802,x99803),x99805),x99807))+P34(x99801,x99802,f326(f326(f9(x99801,f925(x99802,x99803),f925(x99802,a913)),f326(f326(f10(f925(x99803,a913),f925(f925(x99802,x99803),f925(x99802,a913)),x99801),f10(x99803,a913,x99802)),x99804)),x99805),x99806,x99807)
% 225.13/225.10 [10057]P34(x100571,x100572,x100573,x100574,f326(f326(f154(x100575,x100572),x100576),x100577))+~P34(x100571,x100575,f326(f326(f9(x100571,f925(x100575,x100572),f925(x100575,a913)),f326(f326(f10(f925(x100572,a913),f925(f925(x100575,x100572),f925(x100575,a913)),x100571),f10(x100572,a913,x100575)),x100573)),x100576),x100574,x100577)
% 225.13/225.10 [10367]P105(f326(f326(f328(x103671),f528(x103672,x103673,x103674,x103675,x103676,x103677,x103671)),x103675))+P105(f326(f326(f326(f326(f39(x103671,f925(x103677,f925(x103676,a913))),x103675),x103674),x103673),x103672))
% 225.13/225.10 [10368]P105(f326(f326(f328(x103681),f786(x103682,x103683,x103684,x103685,x103686,x103687,x103681)),x103687))+P105(f326(f326(f326(f326(f39(x103681,f925(x103683,f925(x103682,a913))),x103687),x103686),x103685),x103684))
% 225.13/225.10 [10369]P105(f326(f326(f328(x103691),f516(x103692,x103693,x103694,x103695,x103696,x103697,x103691)),x103695))+~P105(f326(f326(f326(f326(f38(x103691,f925(x103697,f925(x103696,a913))),x103695),x103694),x103693),x103692))
% 225.13/225.10 [10370]P105(f326(f326(f328(x103701),f787(x103702,x103703,x103704,x103705,x103706,x103707,x103701)),x103705))+~P105(f326(f326(f326(f326(f38(x103701,f925(x103707,f925(x103706,a913))),x103705),x103704),x103703),x103702))
% 225.13/225.10 [10406]P105(f326(f326(f326(x104061,f516(x104062,x104063,x104061,x104064,x104065,x104066,x104067)),x104063),x104062))+~P105(f326(f326(f326(f326(f38(x104067,f925(x104066,f925(x104065,a913))),x104064),x104061),x104063),x104062))
% 225.13/225.10 [10407]P105(f326(f326(f326(x104071,f787(x104072,x104073,x104071,x104074,x104075,x104076,x104077)),x104073),x104072))+~P105(f326(f326(f326(f326(f38(x104077,f925(x104076,f925(x104075,a913))),x104074),x104071),x104073),x104072))
% 225.13/225.10 [10423]~P105(f326(f326(f326(x104235,f528(x104237,x104236,x104235,x104234,x104233,x104232,x104231)),x104236),x104237))+P105(f326(f326(f326(f326(f39(x104231,f925(x104232,f925(x104233,a913))),x104234),x104235),x104236),x104237))
% 225.13/225.10 [10424]~P105(f326(f326(f326(x104245,f786(x104243,x104242,x104247,x104246,x104245,x104244,x104241)),x104246),x104247))+P105(f326(f326(f326(f326(f39(x104241,f925(x104242,f925(x104243,a913))),x104244),x104245),x104246),x104247))
% 225.13/225.10 [10441]~P105(f326(f326(f328(f924(x104411,x104413)),f326(f326(f251(x104411,x104413),x104416),x104417)),f326(f326(f288(x104411,x104412,x104413),x104414),x104415)))+P105(f326(f326(f252(x104411,x104412,x104413,f326(f326(f9(x104411,f925(f924(x104411,x104412),a913),f925(x104412,a913)),f326(f326(f10(f925(x104412,f925(f925(f924(x104411,x104412),a913),a913)),f925(f925(f924(x104411,x104412),a913),f925(x104412,a913)),x104411),f9(x104412,f925(f924(x104411,x104412),a913),a913)),f326(f326(f10(f925(x104412,f924(x104411,x104412)),f925(x104412,f925(f925(f924(x104411,x104412),a913),a913)),x104411),f326(f10(f924(x104411,x104412),f925(f925(f924(x104411,x104412),a913),a913),x104412),f328(f924(x104411,x104412)))),f251(x104411,x104412)))),x104414),f326(f326(f9(x104412,f925(f924(x104412,x104413),a913),f925(x104413,a913)),f326(f326(f10(f925(x104413,f925(f925(f924(x104412,x104413),a913),a913)),f925(f925(f924(x104412,x104413),a913),f925(x104413,a913)),x104412),f9(x104413,f925(f924(x104412,x104413),a913),a913)),f326(f326(f10(f925(x104413,f924(x104412,x104413)),f925(x104413,f925(f925(f924(x104412,x104413),a913),a913)),x104412),f326(f10(f924(x104412,x104413),f925(f925(f924(x104412,x104413),a913),a913),x104413),f328(f924(x104412,x104413)))),f251(x104412,x104413)))),x104415)),x104416),x104417))
% 225.13/225.10 [10451]P105(f326(f326(f328(f924(x104511,x104512)),f326(f326(f251(x104511,x104512),x104513),x104514)),f326(f326(f288(x104511,x104515,x104512),x104516),x104517)))+~P105(f326(f326(f252(x104511,x104515,x104512,f326(f326(f9(x104511,f925(f924(x104511,x104515),a913),f925(x104515,a913)),f326(f326(f10(f925(x104515,f925(f925(f924(x104511,x104515),a913),a913)),f925(f925(f924(x104511,x104515),a913),f925(x104515,a913)),x104511),f9(x104515,f925(f924(x104511,x104515),a913),a913)),f326(f326(f10(f925(x104515,f924(x104511,x104515)),f925(x104515,f925(f925(f924(x104511,x104515),a913),a913)),x104511),f326(f10(f924(x104511,x104515),f925(f925(f924(x104511,x104515),a913),a913),x104515),f328(f924(x104511,x104515)))),f251(x104511,x104515)))),x104516),f326(f326(f9(x104515,f925(f924(x104515,x104512),a913),f925(x104512,a913)),f326(f326(f10(f925(x104512,f925(f925(f924(x104515,x104512),a913),a913)),f925(f925(f924(x104515,x104512),a913),f925(x104512,a913)),x104515),f9(x104512,f925(f924(x104515,x104512),a913),a913)),f326(f326(f10(f925(x104512,f924(x104515,x104512)),f925(x104512,f925(f925(f924(x104515,x104512),a913),a913)),x104515),f326(f10(f924(x104515,x104512),f925(f925(f924(x104515,x104512),a913),a913),x104512),f328(f924(x104515,x104512)))),f251(x104515,x104512)))),x104517)),x104513),x104514))
% 225.13/225.10 [10379]~P146(x103792)+E(f326(f326(f8(x103791,x103792),f326(f326(f9(x103791,f925(x103793,a913),x103792),f326(f326(f10(f925(x103793,x103792),f925(f925(x103793,a913),x103792),x103791),f8(x103793,x103792)),f326(f326(f9(x103791,f925(x103793,x103792),f925(x103793,x103792)),f326(f326(f10(f925(x103792,x103792),f925(f925(x103793,x103792),f925(x103793,x103792)),x103791),f10(x103792,x103792,x103793)),f326(f326(f10(x103792,f925(x103792,x103792),x103791),f80(x103792)),x103794))),x103795))),x103796)),x103797),f326(f326(f80(x103792),f326(f326(f8(x103791,x103792),x103794),x103797)),f326(f326(f8(x103793,x103792),x103795),x103796)))
% 225.13/225.10 [9455]~P19(x94557,x94551,x94553,x94558)+E(f326(f72(x94551,x94551,x94552,f326(x94553,x94554)),f326(f72(x94551,x94551,x94552,f326(x94553,x94555)),x94556)),f326(f72(x94551,x94551,x94552,f326(x94553,x94555)),f326(f72(x94551,x94551,x94552,f326(x94553,x94554)),x94556)))
% 225.13/225.10 [10446]E(f326(f326(f251(x104461,x104462),f326(x104463,f551(x104464,x104465,x104463,x104466,x104467,x104468,x104462,x104461))),f326(x104465,f552(x104464,x104465,x104463,x104466,x104467,x104468,x104462,x104461))),x104468)+~P105(f326(f326(f328(f924(x104461,x104462)),x104468),f326(f309(f924(x104467,x104466),f924(x104461,x104462),f257(x104467,x104461,x104466,x104462,x104463,x104465)),x104464)))
% 225.13/225.10 [10464]~P105(f326(f326(f328(f924(x104648,x104647)),x104646),f326(f309(f924(x104641,x104642),f924(x104648,x104647),f257(x104641,x104648,x104642,x104647,x104645,x104644)),x104643)))+P105(f326(f326(f328(f924(x104641,x104642)),f326(f326(f251(x104641,x104642),f551(x104643,x104644,x104645,x104642,x104641,x104646,x104647,x104648)),f552(x104643,x104644,x104645,x104642,x104641,x104646,x104647,x104648))),x104643))
% 225.13/225.10 [9906]P105(f326(f326(f328(f924(f924(x99061,x99062),f924(x99061,x99062))),f326(f326(f251(f924(x99061,x99062),f924(x99061,x99062)),f326(f326(f251(x99061,x99062),x99063),x99064)),f326(f326(f251(x99061,x99062),x99065),x99066))),f318(x99061,x99062,x99067,x99068)))+~P105(f326(f326(f328(f924(x99061,x99061)),f326(f326(f251(x99061,x99061),x99063),x99065)),x99067))
% 225.13/225.10 [10435]E(f326(f142(x104351,x104352,f326(f9(x104352,x104351,x104351),x104353),f326(x104354,x104355)),x104356),f326(x104354,f326(f142(x104357,x104352,f326(f9(x104352,x104357,x104357),x104358),x104355),x104356)))+P105(f326(f326(f328(x104352),f734(x104355,x104358,x104354,x104353,x104357,x104351,x104356,x104352)),f326(f172(x104352),x104356)))
% 225.13/225.10 [10454]~E(f326(f72(x104541,x104541,x104547,f326(x104543,f734(x104545,x104548,x104544,x104543,x104547,x104541,x104546,x104542))),x104544),f326(f72(x104547,x104541,x104547,x104544),f326(x104548,f734(x104545,x104548,x104544,x104543,x104547,x104541,x104546,x104542))))+E(f326(f142(x104541,x104542,f326(f9(x104542,x104541,x104541),x104543),f326(x104544,x104545)),x104546),f326(x104544,f326(f142(x104547,x104542,f326(f9(x104542,x104547,x104547),x104548),x104545),x104546)))
% 225.13/225.10 [8673]E(f326(x86731,f326(x86732,x86733)),f326(x86734,f326(x86735,x86733)))+~E(f326(f72(x86736,x86737,x86738,x86731),x86732),f326(f72(x86739,x86737,x86738,x86734),x86735))
% 225.13/225.10 [10292]P105(f326(f326(f328(f924(x102921,x102922)),f326(f326(f251(x102921,x102922),f326(x102923,x102924)),f326(x102925,x102926))),f326(f309(f924(x102927,x102928),f924(x102921,x102922),f257(x102927,x102921,x102928,x102922,x102923,x102925)),x102929)))+~P105(f326(f326(f328(f924(x102927,x102928)),f326(f326(f251(x102927,x102928),x102924),x102926)),x102929))
% 225.13/225.10 [8968]~E(f326(x89684,f326(x89685,x89686)),f326(x89689,f326(x896810,x896811)))+E(f326(f326(f72(x89681,x89682,x89683,x89684),x89685),x89686),f326(f326(f72(x89687,x89682,x89688,x89689),x896810),x896811))
% 225.13/225.10 [4763]~P108(x47631)+~P98(x47631)+E(f233(x47631),f101(x47631))
% 225.13/225.10 [4764]~P108(x47641)+~P102(x47641)+E(f238(x47641),f102(x47641))
% 225.13/225.10 [5013]~P113(x50131)+~P92(x50131)+E(f326(f75(x50131),f326(f104(x50131),a97)),f77(x50131))
% 225.13/225.10 [5304]E(x53041,f2(a1))+E(f81(a1,x53041),f326(f78(a1),f77(a1)))+P105(f326(f326(f235(a1),f2(a1)),x53041))
% 225.13/225.10 [5514]E(x55141,f2(a1))+E(f81(a1,x55141),f77(a1))+~P105(f326(f326(f235(a1),f2(a1)),x55141))
% 225.13/225.10 [7545]~P40(x75451)+P105(f326(f60(a1),x75451))+~P105(f326(f60(a917),f326(f309(a1,a917,a105),x75451)))
% 225.13/225.10 [9867]E(x98671,f188(f925(f924(a917,a917),a913)))+~P105(f326(f60(f924(a917,a917)),x98671))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f188(f925(f924(a917,a917),a913))),x98671)),a33))
% 225.13/225.10 [10029]E(x100291,f2(a917))+E(x100291,f326(a112,f2(a917)))+~P105(f326(f326(f235(a917),x100291),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.10 [10323]E(x103231,f2(a99))+E(f326(f326(f79(a1),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f35(a99),x103231),f326(f104(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f77(a1)),f326(a24,x103231))+E(f44(a99,x103231,f326(f104(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))
% 225.13/225.10 [10168]E(x101681,f2(a99))+~E(f44(a99,x101681,f326(f104(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))+E(f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f35(a99),x101681),f326(f104(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(a24,x101681))
% 225.13/225.10 [4844]~P57(x48441,x48442)+P44(x48441,x48442)+~P45(a913)
% 225.13/225.10 [4773]~P145(x47731)+P28(x47731,x47732)+~E(x47732,f2(x47731))
% 225.13/225.10 [4774]~P108(x47741)+P13(x47741,x47742)+~E(x47742,f113(x47741))
% 225.13/225.10 [4783]~P113(x47831)+~E(x47832,f2(x47831))+E(f81(x47831,x47832),f2(x47831))
% 225.13/225.10 [4784]~P88(x47841)+~E(x47842,f2(x47841))+E(f81(x47841,x47842),f2(x47841))
% 225.13/225.10 [4792]~P145(x47922)+~P28(x47922,x47921)+E(x47921,f2(x47922))
% 225.13/225.10 [4837]~P113(x48372)+~E(f81(x48372,x48371),f2(x48372))+E(x48371,f2(x48372))
% 225.13/225.10 [4851]~P2(x48512)+~P2(x48511)+P2(f925(x48511,x48512))
% 225.13/225.10 [4852]~P2(x48522)+~P2(x48521)+P2(f923(x48521,x48522))
% 225.13/225.10 [4853]~P2(x48532)+~P2(x48531)+P2(f924(x48531,x48532))
% 225.13/225.10 [4854]~P6(x48542)+~P6(x48541)+P6(f194(x48541,x48542))
% 225.13/225.10 [4855]~P60(x48552)+~P60(x48551)+P60(f925(x48551,x48552))
% 225.13/225.10 [4856]~P60(x48562)+~P60(x48561)+P60(f923(x48561,x48562))
% 225.13/225.10 [4857]~P60(x48572)+~P60(x48571)+P60(f924(x48571,x48572))
% 225.13/225.10 [4858]~P103(x48582)+~P103(x48581)+P103(f924(x48581,x48582))
% 225.13/225.10 [4985]~P108(x49851)+~P13(x49851,x49852)+P13(x49851,f152(x49851,x49852))
% 225.13/225.10 [5232]~P6(x52322)+~P6(x52321)+P6(f44(a1,x52321,x52322))
% 225.13/225.10 [4794]~P75(x47941)+~E(x47942,f2(x47941))+E(f326(f78(x47941),x47942),x47942)
% 225.13/225.10 [4809]~P141(x48091)+~E(x48092,f2(a1))+E(f326(f103(x48091),x48092),f2(x48091))
% 225.13/225.10 [4810]~P90(x48101)+~E(x48102,f2(a1))+E(f326(f103(x48101),x48102),f2(x48101))
% 225.13/225.10 [4834]~P74(x48341)+~E(f2(x48341),x48342)+E(f326(f78(x48341),x48342),f2(x48341))
% 225.13/225.10 [4835]~P84(x48351)+~E(x48352,f2(x48351))+E(f326(f75(x48351),x48352),f2(x48351))
% 225.13/225.10 [4836]~P74(x48361)+~E(x48362,f2(x48361))+E(f326(f78(x48361),x48362),f2(x48361))
% 225.13/225.10 [4860]~P75(x48602)+E(x48601,f2(x48602))+~E(f326(f78(x48602),x48601),x48601)
% 225.13/225.10 [4866]E(x48661,f326(a105,x48662))+~E(x48661,f2(a917))+~E(x48662,f326(f100(a1),x48661))
% 225.13/225.10 [4867]E(f326(a105,x48671),x48672)+~E(x48672,f2(a917))+~E(x48671,f326(f100(a1),x48672))
% 225.13/225.10 [4871]~P90(x48712)+E(x48711,f2(a1))+~E(f326(f103(x48712),x48711),f2(x48712))
% 225.13/225.10 [4875]~P84(x48752)+E(x48751,f2(x48752))+~E(f326(f75(x48752),x48751),f2(x48752))
% 225.13/225.10 [4876]~P74(x48762)+E(x48761,f2(x48762))+~E(f326(f78(x48762),x48761),f2(x48762))
% 225.13/225.10 [4877]~P74(x48771)+E(f2(x48771),x48772)+~E(f326(f78(x48771),x48772),f2(x48771))
% 225.13/225.10 [5060]~P108(x50601)+~P13(x50601,x50602)+P13(x50601,f326(f171(x50601),x50602))
% 225.13/225.10 [5087]~P105(x50872)+~P105(x50871)+P105(f326(f326(a324,x50871),x50872))
% 225.13/225.10 [5125]~E(f77(a917),f2(a917))+E(f326(f34(x51251),x51252),f2(a917))+~P105(f326(f60(x51251),x51252))
% 225.13/225.10 [5161]~P116(x51611)+~P146(x51611)+E(f326(f326(f243(x51611),f2(x51611)),f326(a112,x51612)),f2(x51611))
% 225.13/225.10 [5200]~P108(x52001)+P13(x52001,f139(x52001,x52002))+~P105(f326(f60(x52001),x52002))
% 225.13/225.10 [5201]~P108(x52011)+P13(x52011,f726(x52012,x52011))+~P105(f326(f60(x52011),x52012))
% 225.13/225.10 [5224]~P108(x52241)+E(f326(f172(x52241),f139(x52241,x52242)),x52242)+~P105(f326(f60(x52241),x52242))
% 225.13/225.10 [5225]~P108(x52251)+E(f326(f172(x52251),f726(x52252,x52251)),x52252)+~P105(f326(f60(x52251),x52252))
% 225.13/225.10 [5254]P105(x52541)+P105(x52542)+~P105(f326(f326(a325,x52542),x52541))
% 225.13/225.10 [5267]E(x52671,f188(f925(x52672,a913)))+~E(f326(f34(x52672),x52671),f2(a917))+~P105(f326(f60(x52672),x52671))
% 225.13/225.10 [5272]P105(x52721)+~P105(x52722)+~P105(f326(f326(a329,x52722),x52721))
% 225.13/225.10 [5322]~P73(x53221)+E(f326(f75(x53221),x53222),x53222)+P105(f326(f326(f235(x53221),x53222),f2(x53221)))
% 225.13/225.10 [5382]~P60(x53822)+~P105(f326(f55(x53822),x53821))+P105(f326(x53821,f727(x53821,x53822)))
% 225.13/225.10 [5383]~P60(x53832)+~P105(f326(f55(x53832),x53831))+P105(f326(x53831,f735(x53831,x53832)))
% 225.13/225.10 [5424]E(x54241,f113(x54242))+P105(f326(f137(x54242),f114(x54242,x54241)))+~P105(f326(f137(x54242),x54241))
% 225.13/225.10 [5429]~P108(x54291)+~P105(f326(f60(x54291),x54292))+P105(f326(f137(x54291),f139(x54291,x54292)))
% 225.13/225.10 [5430]~P108(x54301)+~P105(f326(f60(x54301),x54302))+P105(f326(f137(x54301),f726(x54302,x54301)))
% 225.13/225.10 [5435]~P141(x54351)+E(f326(f100(x54351),f326(a105,x54352)),f326(f103(x54351),x54352))+P105(f326(f326(f235(a1),x54352),f2(a1)))
% 225.13/225.10 [5462]P7(x54622,x54621)+E(f326(x54621,f442(x54621)),f326(x54621,f483(x54621)))+P105(f326(f326(x54621,f442(x54621)),f483(x54621)))
% 225.13/225.10 [5475]E(f326(f100(a1),f339(x54751,x54752)),x54751)+P105(f326(x54752,f326(a105,x54751)))+~P105(f326(x54752,f2(a917)))
% 225.13/225.10 [5488]~P60(x54881)+~P105(f326(x54882,f740(x54882,x54881)))+P105(f326(f56(x54881),x54882))
% 225.13/225.10 [5489]~P60(x54891)+~P105(f326(x54892,f750(x54892,x54891)))+P105(f326(f56(x54891),x54892))
% 225.13/225.10 [5524]~P113(x55241)+~E(f81(x55241,x55242),f326(f78(x55241),f77(x55241)))+P105(f326(f326(f235(x55241),x55242),f2(x55241)))
% 225.13/225.10 [5598]~E(x55982,f2(a1))+E(f215(x55981,x55982),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P105(f326(f326(f235(a1),x55982),f2(a1)))
% 225.13/225.10 [5599]~E(x55991,f2(a1))+E(f215(x55991,x55992),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P105(f326(f326(f235(a1),x55992),f2(a1)))
% 225.13/225.10 [5651]E(f326(f100(a1),f339(x56511,x56512)),x56511)+P105(f326(x56512,f326(a105,x56511)))+P105(f326(f326(f235(a1),x56511),f2(a1)))
% 225.13/225.10 [5718]~P113(x57181)+E(f81(x57181,x57182),f326(f78(x57181),f77(x57181)))+~P105(f326(f326(f235(x57181),x57182),f2(x57181)))
% 225.13/225.10 [5719]~P84(x57191)+E(f326(f75(x57191),x57192),f326(f78(x57191),x57192))+~P105(f326(f326(f234(x57191),x57192),f2(x57191)))
% 225.13/225.10 [5720]~P84(x57201)+E(f326(f75(x57201),x57202),f326(f78(x57201),x57202))+~P105(f326(f326(f235(x57201),x57202),f2(x57201)))
% 225.13/225.10 [5721]~P73(x57211)+E(f326(f75(x57211),x57212),f326(f78(x57211),x57212))+~P105(f326(f326(f235(x57211),x57212),f2(x57211)))
% 225.13/225.10 [5822]~P105(f326(x58221,f339(x58222,x58221)))+P105(f326(x58221,f326(a105,x58222)))+~P105(f326(x58221,f2(a917)))
% 225.13/225.10 [5829]E(x58291,f2(a917))+E(f326(a112,f806(x58292,x58291)),x58291)+~P105(f326(f326(f235(a917),x58291),f326(a112,x58292)))
% 225.13/225.10 [5833]P7(x58331,x58332)+~E(f326(x58332,f442(x58332)),f326(x58332,f483(x58332)))+~P105(f326(f326(x58332,f442(x58332)),f483(x58332)))
% 225.13/225.10 [5851]~P108(x58511)+P13(x58511,x58512)+P105(f326(f326(f234(a917),f709(x58512,x58511)),f710(x58512,x58511)))
% 225.13/225.10 [5852]~P108(x58521)+P13(x58521,x58522)+P105(f326(f326(f234(a917),f717(x58522,x58521)),f722(x58522,x58521)))
% 225.13/225.10 [5938]~P84(x59381)+~E(x59382,f2(x59381))+P105(f326(f326(f234(x59381),f326(f75(x59381),x59382)),f2(x59381)))
% 225.13/225.10 [6032]~P105(f326(x60321,f339(x60322,x60321)))+P105(f326(x60321,f326(a105,x60322)))+P105(f326(f326(f235(a1),x60322),f2(a1)))
% 225.13/225.10 [6057]~P105(f326(x60571,f326(a105,x60572)))+P105(f326(x60571,f2(a917)))+~P105(f326(f326(f235(a1),x60572),f2(a1)))
% 225.13/225.10 [6404]~P113(x64041)+~P105(f326(f326(f235(x64041),x64042),f2(x64041)))+P105(f326(f326(f235(x64041),f81(x64041,x64042)),f2(x64041)))
% 225.13/225.10 [6520]~P113(x65201)+P105(f326(f326(f234(x65201),f326(f103(x65201),x65202)),f2(x65201)))+~P105(f326(f326(f234(a1),x65202),f2(a1)))
% 225.13/225.10 [6521]~P113(x65211)+P105(f326(f326(f235(x65211),f326(f103(x65211),x65212)),f2(x65211)))+~P105(f326(f326(f235(a1),x65212),f2(a1)))
% 225.13/225.10 [6530]~P84(x65302)+E(x65301,f2(x65302))+~P105(f326(f326(f234(x65302),f326(f75(x65302),x65301)),f2(x65302)))
% 225.13/225.10 [6605]~P141(x66051)+~P105(f326(f326(f328(x66051),x66052),f110(x66051)))+P105(f326(f326(f328(x66051),f326(f78(x66051),x66052)),f110(x66051)))
% 225.13/225.10 [6637]~P113(x66371)+~P105(f326(f326(f235(x66371),f81(x66371,x66372)),f2(x66371)))+P105(f326(f326(f235(x66371),x66372),f2(x66371)))
% 225.13/225.10 [6811]~P113(x68112)+~P105(f326(f326(f234(x68112),f326(f103(x68112),x68111)),f2(x68112)))+P105(f326(f326(f234(a1),x68111),f2(a1)))
% 225.13/225.10 [6812]~P113(x68122)+~P105(f326(f326(f235(x68122),f326(f103(x68122),x68121)),f2(x68122)))+P105(f326(f326(f235(a1),x68121),f2(a1)))
% 225.13/225.10 [7316]~P75(x73161)+~P105(f326(f326(f234(x73161),x73162),f2(x73161)))+P105(f326(f326(f234(x73161),f326(f326(f79(x73161),x73162),x73162)),f2(x73161)))
% 225.13/225.10 [7318]~P113(x73181)+~P105(f326(f326(f235(x73181),x73182),f2(x73181)))+P105(f326(f326(f235(x73181),f326(f326(f79(x73181),x73182),x73182)),f2(x73181)))
% 225.13/225.10 [7319]~P75(x73191)+~P105(f326(f326(f235(x73191),x73192),f2(x73191)))+P105(f326(f326(f235(x73191),f326(f326(f79(x73191),x73192),x73192)),f2(x73191)))
% 225.13/225.10 [7891]~P75(x78911)+~P105(f326(f326(f234(x78911),f326(f326(f79(x78911),x78912),x78912)),f2(x78911)))+P105(f326(f326(f234(x78911),x78912),f2(x78911)))
% 225.13/225.10 [7892]~P113(x78921)+~P105(f326(f326(f235(x78921),f326(f326(f79(x78921),x78922),x78922)),f2(x78921)))+P105(f326(f326(f235(x78921),x78922),f2(x78921)))
% 225.13/225.10 [7893]~P75(x78931)+~P105(f326(f326(f235(x78931),f326(f326(f79(x78931),x78932),x78932)),f2(x78931)))+P105(f326(f326(f235(x78931),x78932),f2(x78931)))
% 225.13/225.10 [4912]~E(x49122,f77(a917))+~E(x49121,f77(a917))+E(f326(f326(f80(a917),x49121),x49122),f77(a917))
% 225.13/225.10 [4913]~E(x49132,f77(a1))+~E(x49131,f77(a1))+E(f326(f326(f80(a1),x49131),x49132),f77(a1))
% 225.13/225.10 [4914]~E(x49142,f2(a917))+~E(x49141,f2(a917))+E(f326(f326(f79(a917),x49141),x49142),f2(a917))
% 225.13/225.10 [4969]~P124(x49692)+E(x49691,f2(x49692))+E(f326(f326(f290(x49692),x49691),x49691),f77(x49692))
% 225.13/225.10 [4970]~P3(x49702)+E(x49701,f2(x49702))+E(f326(f326(f35(x49702),x49701),x49701),f77(x49702))
% 225.13/225.10 [4971]~P125(x49712)+E(x49711,f2(x49712))+E(f326(f326(f290(x49712),x49711),x49711),f77(x49712))
% 225.13/225.10 [4991]~P142(x49911)+~E(x49912,f77(x49911))+E(f326(f326(f80(x49911),x49912),x49912),f77(x49911))
% 225.13/225.10 [4992]~P75(x49921)+~E(x49922,f2(x49921))+E(f326(f326(f79(x49921),x49922),x49922),f2(x49921))
% 225.13/225.10 [4993]~P125(x49931)+~E(x49932,f2(x49931))+E(f326(f326(f290(x49931),x49932),x49932),f2(x49931))
% 225.13/225.10 [5038]~E(x50382,f2(a917))+~E(x50381,f2(a917))+E(f326(f78(a1),f326(f100(a1),x50381)),f326(f100(a1),x50382))
% 225.13/225.10 [5057]E(x50571,f77(a917))+E(x50572,f2(a917))+~E(f326(f326(f80(a917),x50572),x50571),x50572)
% 225.13/225.10 [5069]E(x50691,f2(a917))+E(x50692,f2(a917))+~E(f326(f326(f80(a917),x50692),x50691),f2(a917))
% 225.13/225.10 [5096]~E(x50962,f2(a917))+~E(x50961,f326(a112,f2(a917)))+E(f326(f326(f79(a917),x50961),x50962),f326(a112,f2(a917)))
% 225.13/225.10 [5097]~E(x50971,f2(a917))+~E(x50972,f326(a112,f2(a917)))+E(f326(f326(f79(a917),x50971),x50972),f326(a112,f2(a917)))
% 225.13/225.10 [5104]E(x51041,f77(a1))+E(x51042,f326(f104(a1),a97))+~E(f326(f326(f80(a1),x51041),x51042),f77(a1))
% 225.13/225.10 [5105]E(x51051,f77(a1))+E(x51052,f326(f104(a1),a97))+~E(f326(f326(f80(a1),x51052),x51051),f77(a1))
% 225.13/225.10 [5106]E(x51061,f77(a1))+E(x51061,f326(f104(a1),a97))+~E(f326(f326(f80(a1),x51062),x51061),f77(a1))
% 225.13/225.10 [5108]E(x51081,f77(a1))+E(x51081,f326(f104(a1),a97))+~E(f326(f326(f80(a1),x51081),x51082),f77(a1))
% 225.13/225.10 [5133]~P75(x51332)+E(x51331,f2(x51332))+~E(f326(f326(f79(x51332),x51331),x51331),f2(x51332))
% 225.13/225.10 [5139]~E(x51391,f326(f104(a1),a97))+~E(x51392,f326(f104(a1),a97))+E(f326(f326(f80(a1),x51391),x51392),f77(a1))
% 225.13/225.10 [5150]E(x51501,f2(a917))+E(x51502,f2(a917))+~E(f326(f326(f79(a917),x51502),x51501),f326(a112,f2(a917)))
% 225.13/225.10 [5160]~P61(x51601)+~P92(x51601)+E(f326(f326(f290(x51601),x51602),f326(f104(x51601),a82)),f2(x51601))
% 225.13/225.10 [5166]~P142(x51661)+~E(x51662,f326(f78(x51661),f77(x51661)))+E(f326(f326(f80(x51661),x51662),x51662),f77(x51661))
% 225.13/225.10 [5171]~P6(x51712)+~P6(x51711)+P6(f326(f326(f80(a1),x51711),x51712))
% 225.13/225.10 [5172]~P6(x51722)+~P6(x51721)+P6(f326(f326(f79(a1),x51721),x51722))
% 225.13/225.10 [5173]~P6(x51732)+~P6(x51731)+P6(f326(f326(f35(a1),x51731),x51732))
% 225.13/225.10 [5175]~E(x51752,f2(a1))+E(x51751,f2(a1))+E(f45(x51751,x51752),f326(f326(f251(a1,a1),f2(a1)),x51751))
% 225.13/225.10 [5198]~E(x51982,f326(a112,f2(a917)))+~E(x51981,f326(a112,f2(a917)))+E(f326(f326(f80(a917),x51981),x51982),f326(a112,f2(a917)))
% 225.13/225.10 [5215]E(x52151,f2(a917))+E(x52152,f326(a112,f2(a917)))+~E(f326(f326(f243(a917),x52152),x52151),f326(a112,f2(a917)))
% 225.13/225.10 [5216]E(x52161,f2(a917))+E(x52161,f326(a112,f2(a917)))+~E(f326(f326(f79(a917),x52162),x52161),f326(a112,f2(a917)))
% 225.13/225.10 [5217]E(x52171,f2(a917))+E(x52171,f326(a112,f2(a917)))+~E(f326(f326(f79(a917),x52171),x52172),f326(a112,f2(a917)))
% 225.13/225.10 [5226]~P61(x52261)+~P92(x52261)+E(f326(f326(f290(x52261),x52262),f326(f104(x52261),a97)),f326(f78(x52261),x52262))
% 225.13/225.10 [5246]E(x52461,f326(a105,x52462))+~E(x52461,f2(a917))+P105(f326(f326(f234(a1),f2(a1)),x52462))
% 225.13/225.10 [5247]E(f326(a105,x52471),x52472)+~E(x52472,f2(a917))+P105(f326(f326(f234(a1),f2(a1)),x52471))
% 225.13/225.10 [5263]E(x52631,f326(a112,f2(a917)))+E(x52632,f326(a112,f2(a917)))+~E(f326(f326(f79(a917),x52631),x52632),f326(a112,f2(a917)))
% 225.13/225.10 [5274]~E(x52741,f326(a105,x52742))+E(x52741,f2(a917))+P105(f326(f326(f234(a1),f2(a1)),x52742))
% 225.13/225.10 [5275]~E(f326(a105,x52752),x52751)+E(x52751,f2(a917))+P105(f326(f326(f234(a1),f2(a1)),x52752))
% 225.13/225.10 [5297]~P108(x52971)+E(f326(f62(x52971,f233(x52971)),x52972),f16(x52971,x52972))+~P105(f326(f60(x52971),x52972))
% 225.13/225.10 [5298]~P108(x52981)+E(f326(f62(x52981,f238(x52981)),x52982),f17(x52981,x52982))+~P105(f326(f60(x52981),x52982))
% 225.13/225.10 [5299]~P99(x52991)+E(f326(f62(x52991,f101(x52991)),x52992),f12(x52991,x52992))+~P105(f326(f60(x52991),x52992))
% 225.13/225.10 [5300]~P99(x53001)+E(f326(f62(x53001,f102(x53001)),x53002),f13(x53001,x53002))+~P105(f326(f60(x53001),x53002))
% 225.13/225.10 [5377]E(x53771,x53772)+~E(f326(f326(f3(a917),x53772),x53771),f2(a917))+~E(f326(f326(f3(a917),x53771),x53772),f2(a917))
% 225.13/225.10 [5395]P6(x53951)+~P40(x53952)+~P105(f326(f326(f328(a1),x53951),x53952))
% 225.13/225.10 [5425]~P113(x54251)+~E(f81(x54251,x54252),f77(x54251))+P105(f326(f326(f235(x54251),f2(x54251)),x54252))
% 225.13/225.10 [5436]~P92(x54361)+E(f326(f100(x54361),f326(f104(a917),x54362)),f326(f104(x54361),x54362))+P105(f326(a193,f326(f104(a1),x54362)))
% 225.13/225.10 [5441]~P44(x54411,x54412)+P45(a913)+P105(f326(f60(f924(x54411,x54411)),x54412))
% 225.13/225.10 [5516]~P108(x55161)+E(f326(f62(x55161,f238(x55161)),x55162),f14(x55161,f238(x55161),x55162))+~P105(f326(f60(x55161),x55162))
% 225.13/225.10 [5517]~P108(x55171)+E(f326(f62(x55171,f233(x55171)),x55172),f15(x55171,f233(x55171),x55172))+~P105(f326(f60(x55171),x55172))
% 225.13/225.10 [5531]E(x55311,x55312)+P105(f326(f326(f235(a917),x55312),x55311))+P105(f326(f326(f235(a917),x55311),x55312))
% 225.13/225.10 [5532]E(x55321,x55322)+P105(f326(f326(f235(a1),x55322),x55321))+P105(f326(f326(f235(a1),x55321),x55322))
% 225.13/225.10 [5585]~P92(x55851)+E(f326(f100(x55851),f326(f104(a917),x55852)),f2(x55851))+~P105(f326(a193,f326(f104(a1),x55852)))
% 225.13/225.10 [5588]~E(x55882,f326(a105,x55881))+E(x55881,f326(f100(a1),x55882))+~P105(f326(f326(f234(a1),f2(a1)),x55881))
% 225.13/225.10 [5589]~E(f326(a105,x55891),x55892)+E(x55891,f326(f100(a1),x55892))+~P105(f326(f326(f234(a1),f2(a1)),x55891))
% 225.13/225.10 [5590]~E(x55901,f326(a105,x55902))+E(f326(f100(a1),x55901),x55902)+~P105(f326(f326(f234(a1),f2(a1)),x55902))
% 225.13/225.10 [5600]E(x56001,f326(a105,x56002))+~E(x56002,f326(f100(a1),x56001))+~P105(f326(f326(f234(a1),f2(a1)),x56002))
% 225.13/225.10 [5601]E(f326(a105,x56011),x56012)+~E(x56011,f326(f100(a1),x56012))+~P105(f326(f326(f234(a1),f2(a1)),x56011))
% 225.13/225.10 [5642]~P84(x56422)+E(x56421,f2(x56422))+P105(f326(f326(f235(x56422),f2(x56422)),f326(f75(x56422),x56421)))
% 225.13/225.10 [5707]~P113(x57071)+E(f81(x57071,x57072),f77(x57071))+~P105(f326(f326(f235(x57071),f2(x57071)),x57072))
% 225.13/225.10 [5711]~P92(x57111)+E(f326(f100(x57111),f326(f104(a917),x57112)),f2(x57111))+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x57112)))
% 225.13/225.10 [5722]~P84(x57221)+E(f326(f75(x57221),x57222),x57222)+~P105(f326(f326(f234(x57221),f2(x57221)),x57222))
% 225.13/225.10 [5723]~P84(x57231)+E(f326(f75(x57231),x57232),x57232)+~P105(f326(f326(f235(x57231),f2(x57231)),x57232))
% 225.13/225.10 [5732]E(x57321,f2(a917))+~E(f139(a917,f326(f301(a917,x57322),x57321)),f113(a917))+P105(f326(f326(f234(a917),x57321),x57322))
% 225.13/225.11 [5743]~P70(x57431)+E(f326(f326(f8(x57431,x57431),f7(x57431)),f326(f172(x57431),x57432)),f326(f165(x57431),x57432))+~P105(f326(f137(x57431),x57432))
% 225.13/225.11 [5746]~P141(x57461)+E(f326(f100(x57461),f326(a105,x57462)),f326(f103(x57461),x57462))+~P105(f326(f326(f234(a1),f2(a1)),x57462))
% 225.13/225.11 [5773]E(x57731,x57732)+P105(f326(f326(f235(a917),x57731),x57732))+~P105(f326(f326(f234(a917),x57731),x57732))
% 225.13/225.11 [5774]E(x57741,x57742)+P105(f326(f326(f235(a1),x57741),x57742))+~P105(f326(f326(f234(a1),x57741),x57742))
% 225.13/225.11 [5777]E(x57771,f77(a1))+~E(f326(f326(f80(a1),x57772),x57771),f77(a1))+~P105(f326(f326(f235(a1),f2(a1)),x57772))
% 225.13/225.11 [5778]E(x57781,f77(a1))+~E(f326(f326(f80(a1),x57781),x57782),f77(a1))+~P105(f326(f326(f235(a1),f2(a1)),x57781))
% 225.13/225.11 [5819]~P40(x58192)+P105(f326(f326(f234(a1),f2(a1)),x58191))+~P105(f326(f326(f328(a1),x58191),x58192))
% 225.13/225.11 [5838]~P57(x58381,x58382)+P37(x58381,x58382)+~P105(f326(f60(f924(x58381,x58381)),x58382))
% 225.13/225.11 [5840]~P57(x58401,x58402)+P44(x58401,x58402)+~P105(f326(f60(f924(x58401,x58401)),x58402))
% 225.13/225.11 [5882]E(x58821,f188(f925(x58822,a913)))+~P105(f326(f60(x58822),x58821))+P105(f326(f326(f235(a917),f2(a917)),f326(f34(x58822),x58821)))
% 225.13/225.11 [5909]~P105(f326(x59091,x59092))+P105(f326(x59091,f2(a917)))+P105(f326(f326(f235(a917),f879(x59092,x59091)),x59092))
% 225.13/225.11 [5932]E(x59321,f2(a917))+~E(f326(f165(a917),x59322),f2(a917))+~P105(f326(f326(f328(a917),x59321),f326(f172(a917),x59322)))
% 225.13/225.11 [6000]E(x60001,x60002)+~P105(f326(f326(f234(a917),x60002),x60001))+~P105(f326(f326(f234(a917),x60001),x60002))
% 225.13/225.11 [6001]E(x60011,x60012)+~P105(f326(f326(f234(a1),x60012),x60011))+~P105(f326(f326(f234(a1),x60011),x60012))
% 225.13/225.11 [6007]E(x60071,x60072)+~P105(f326(f326(f286(a917),x60072),x60071))+~P105(f326(f326(f286(a917),x60071),x60072))
% 225.13/225.11 [6009]E(f326(f34(x60091),x60092),f2(a917))+~P105(f326(f60(x60091),x60092))+P105(f326(f326(f328(x60091),f880(x60092,x60091)),x60092))
% 225.13/225.11 [6018]E(f49(x60181,x60182),f45(x60181,x60182))+P105(f326(f326(f234(a1),f2(a1)),x60181))+~P105(f326(f326(f235(a1),f2(a1)),x60182))
% 225.13/225.11 [6044]~P105(f326(x60441,f335(x60441)))+P105(f326(x60441,f326(a105,x60442)))+~P105(f326(f326(f234(a1),f2(a1)),x60442))
% 225.13/225.11 [6047]P105(f326(f326(f234(a917),x60471),f367(x60472)))+~P105(f326(f60(a917),x60472))+~P105(f326(f326(f328(a917),x60471),x60472))
% 225.13/225.11 [6048]P105(f326(f326(f235(a917),x60481),f369(x60482)))+~P105(f326(f60(a917),x60482))+~P105(f326(f326(f328(a917),x60481),x60482))
% 225.13/225.11 [6079]E(x60791,x60792)+~P105(f326(f326(f235(a917),x60791),f326(a112,x60792)))+P105(f326(f326(f235(a917),x60791),x60792))
% 225.13/225.11 [6115]E(x61151,f326(a112,x61152))+~P105(f326(f326(f234(a917),x61151),f326(a112,x61152)))+P105(f326(f326(f234(a917),x61151),x61152))
% 225.13/225.11 [6131]P105(f326(x61311,f336(x61311)))+~P105(f326(x61311,f326(a105,x61312)))+~P105(f326(f326(f234(a1),f2(a1)),x61312))
% 225.13/225.11 [6147]~P105(f326(x61471,x61472))+~P105(f326(f326(f234(a1),f2(a1)),x61472))+P105(f326(x61471,f326(f100(a1),f896(x61471))))
% 225.13/225.11 [6158]~P84(x61582)+~E(x61581,f2(x61582))+~P105(f326(f326(f235(x61582),f2(x61582)),f326(f75(x61582),x61581)))
% 225.13/225.11 [6183]~P57(x61831,x61832)+P37(x61831,f326(f285(x61831,x61831),x61832))+~P105(f326(f60(f924(x61831,x61831)),x61832))
% 225.13/225.11 [6192]~P92(x61921)+E(f326(f100(x61921),f326(f104(a917),x61922)),f326(f104(x61921),x61922))+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x61922)))
% 225.13/225.11 [6195]E(f326(a112,x61951),x61952)+~P105(f326(f326(f235(a917),x61951),x61952))+P105(f326(f326(f235(a917),f326(a112,x61951)),x61952))
% 225.13/225.11 [6211]E(f326(f326(f35(a1),x62111),x62112),f2(a1))+~P105(f326(f326(f234(a1),x62111),f2(a1)))+~P105(f326(f326(f235(a1),x62112),x62111))
% 225.13/225.11 [6222]E(f44(a1,x62221,x62222),x62221)+~P105(f326(f326(f234(a1),x62221),f2(a1)))+~P105(f326(f326(f235(a1),x62222),x62221))
% 225.13/225.11 [6236]E(f46(x62361,x62362),f45(x62361,x62362))+~P105(f326(f326(f234(a1),f2(a1)),x62361))+~P105(f326(f326(f234(a1),f2(a1)),x62362))
% 225.13/225.11 [6246]E(f326(f326(f35(a1),x62461),x62462),f2(a1))+~P105(f326(f326(f234(a1),f2(a1)),x62461))+~P105(f326(f326(f235(a1),x62461),x62462))
% 225.13/225.11 [6257]E(f44(a917,f326(f104(a917),x62571),f326(f104(a917),x62572)),f326(f104(a917),x62571))+P105(f326(a193,f326(f104(a1),x62571)))+~P105(f326(a193,f326(f104(a1),x62572)))
% 225.13/225.11 [6259]E(f44(a1,x62591,x62592),x62591)+~P105(f326(f326(f234(a1),f2(a1)),x62591))+~P105(f326(f326(f235(a1),x62591),x62592))
% 225.13/225.11 [6260]E(x62601,x62602)+~P105(f326(f326(f235(a917),x62601),f326(a112,x62602)))+~P105(f326(f326(f234(a917),x62602),x62601))
% 225.13/225.11 [6274]~P75(x62741)+~P105(f326(f326(f234(x62741),x62742),f2(x62741)))+P105(f326(f326(f234(x62741),x62742),f326(f78(x62741),x62742)))
% 225.13/225.11 [6275]~P113(x62751)+~P105(f326(f326(f235(x62751),x62752),f2(x62751)))+P105(f326(f326(f235(x62751),x62752),f326(f78(x62751),x62752)))
% 225.13/225.11 [6284]~P5(x62841)+E(f326(f326(f63(x62841,x62841,f101(x62841)),f188(x62841)),x62842),f36(x62841,x62842))+~P105(f326(f60(x62841),x62842))
% 225.13/225.11 [6285]~P5(x62851)+E(f326(f326(f63(x62851,x62851,f102(x62851)),f241(x62851)),x62852),f37(x62851,x62852))+~P105(f326(f60(x62851),x62852))
% 225.13/225.11 [6302]~P113(x63021)+~P105(f326(f326(f234(a1),f2(a1)),x63022))+P105(f326(f326(f234(x63021),f2(x63021)),f326(f103(x63021),x63022)))
% 225.13/225.11 [6303]~P112(x63031)+~P105(f326(f326(f235(a917),f2(a917)),x63032))+P105(f326(f326(f235(x63031),f2(x63031)),f326(f100(x63031),x63032)))
% 225.13/225.11 [6304]~P113(x63041)+~P105(f326(f326(f235(a1),f2(a1)),x63042))+P105(f326(f326(f235(x63041),f2(x63041)),f326(f103(x63041),x63042)))
% 225.13/225.11 [6307]~P6(x63072)+~P6(x63071)+E(f326(f309(a917,a1,f100(a1)),f302(a917,f326(a105,x63071),f326(a105,x63072))),f302(a1,x63071,x63072))
% 225.13/225.11 [6313]P105(f326(x63131,x63132))+~P105(f326(f326(f234(a1),f2(a1)),x63132))+~P105(f326(x63131,f326(f100(a1),f897(x63131))))
% 225.13/225.11 [6342]E(f326(f326(f79(a917),f326(f104(a917),x63421)),f326(f104(a917),x63422)),f326(f104(a917),x63421))+P105(f326(f326(f235(a1),x63421),a82))+~P105(f326(f326(f235(a1),x63422),a82))
% 225.13/225.11 [6346]~P113(x63461)+P105(f326(f326(f235(x63461),f2(x63461)),f81(x63461,x63462)))+~P105(f326(f326(f235(x63461),f2(x63461)),x63462))
% 225.13/225.11 [6359]~P77(x63591)+~P105(f326(f326(f234(x63591),x63592),f2(x63591)))+P105(f326(f326(f234(x63591),f2(x63591)),f326(f78(x63591),x63592)))
% 225.13/225.11 [6360]~P77(x63601)+~P105(f326(f326(f235(x63601),x63602),f2(x63601)))+P105(f326(f326(f235(x63601),f2(x63601)),f326(f78(x63601),x63602)))
% 225.13/225.11 [6363]E(x63631,f241(f925(x63632,a913)))+~E(f326(f34(x63632),x63631),f326(f34(x63632),f241(f925(x63632,a913))))+~P105(f326(f60(x63632),f241(f925(x63632,a913))))
% 225.13/225.11 [6389]~P105(f326(f326(f235(a917),f2(a917)),x63892))+~P105(f326(f326(f286(a917),x63891),x63892))+P105(f326(f326(f234(a917),x63891),x63892))
% 225.13/225.11 [6396]~P75(x63961)+P105(f326(f326(f234(x63961),x63962),f2(x63961)))+~P105(f326(f326(f234(x63961),x63962),f326(f78(x63961),x63962)))
% 225.13/225.11 [6397]~P113(x63971)+P105(f326(f326(f235(x63971),x63972),f2(x63971)))+~P105(f326(f326(f235(x63971),x63972),f326(f78(x63971),x63972)))
% 225.13/225.11 [6406]~P92(x64061)+P105(f326(f326(f328(x64061),f326(f104(x64061),x64062)),f186(x64061)))+~P105(f326(f326(f234(a1),a82),x64062))
% 225.13/225.11 [6435]E(x64351,f2(a917))+~P105(f326(f326(f235(a917),x64351),f326(a112,x64352)))+P105(f326(f326(f235(a917),f806(x64352,x64351)),x64352))
% 225.13/225.11 [6458]~P113(x64581)+~P105(f326(f326(f235(x64581),f2(x64581)),f81(x64581,x64582)))+P105(f326(f326(f235(x64581),f2(x64581)),x64582))
% 225.13/225.11 [6460]~E(f326(f104(a917),x64602),f326(f104(a917),x64601))+P105(f326(f326(f234(a1),f326(f104(a1),x64601)),f2(a1)))+~P105(f326(a193,f326(f104(a1),x64602)))
% 225.13/225.11 [6489]E(f326(f250(a1,a1),f49(x64891,x64892)),f326(f326(f35(a1),x64891),x64892))+~P105(f326(f326(f235(a1),x64891),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x64892))
% 225.13/225.11 [6528]E(f326(f255(a1,a1),f49(x65281,x65282)),f44(a1,x65281,x65282))+~P105(f326(f326(f235(a1),x65281),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x65282))
% 225.13/225.11 [6531]~P113(x65312)+~P105(f326(f326(f234(x65312),f2(x65312)),f326(f103(x65312),x65311)))+P105(f326(f326(f234(a1),f2(a1)),x65311))
% 225.13/225.11 [6532]~P112(x65322)+~P105(f326(f326(f235(x65322),f2(x65322)),f326(f100(x65322),x65321)))+P105(f326(f326(f235(a917),f2(a917)),x65321))
% 225.13/225.11 [6533]~P113(x65332)+~P105(f326(f326(f235(x65332),f2(x65332)),f326(f103(x65332),x65331)))+P105(f326(f326(f235(a1),f2(a1)),x65331))
% 225.13/225.11 [6537]E(f326(f250(a1,a1),f46(x65371,x65372)),f326(f326(f35(a1),x65371),x65372))+~P105(f326(f326(f234(a1),f2(a1)),x65372))+~P105(f326(f326(f235(a1),f2(a1)),x65371))
% 225.13/225.11 [6551]E(f326(f255(a1,a1),f46(x65511,x65512)),f44(a1,x65511,x65512))+~P105(f326(f326(f234(a1),f2(a1)),x65512))+~P105(f326(f326(f235(a1),f2(a1)),x65511))
% 225.13/225.11 [6566]~P77(x65661)+P105(f326(f326(f234(x65661),x65662),f2(x65661)))+~P105(f326(f326(f234(x65661),f2(x65661)),f326(f78(x65661),x65662)))
% 225.13/225.11 [6567]~P77(x65671)+P105(f326(f326(f235(x65671),x65672),f2(x65671)))+~P105(f326(f326(f235(x65671),f2(x65671)),f326(f78(x65671),x65672)))
% 225.13/225.11 [6593]P105(f326(f48(x65931,x65932),f49(x65931,x65932)))+~P105(f326(f326(f235(a1),x65931),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x65932))
% 225.13/225.11 [6617]P105(f326(f48(x66171,x66172),f46(x66171,x66172)))+~P105(f326(f326(f234(a1),f2(a1)),x66171))+~P105(f326(f326(f235(a1),f2(a1)),x66172))
% 225.13/225.11 [6660]~P77(x66601)+P105(f326(f326(f234(x66601),f326(f78(x66601),x66602)),f2(x66601)))+~P105(f326(f326(f234(x66601),f2(x66601)),x66602))
% 225.13/225.11 [6661]~P77(x66611)+P105(f326(f326(f235(x66611),f326(f78(x66611),x66612)),f2(x66611)))+~P105(f326(f326(f235(x66611),f2(x66611)),x66612))
% 225.13/225.11 [6679]E(f326(f326(f3(a917),f326(a105,x66791)),f326(a105,x66792)),f326(a105,f194(x66791,x66792)))+~P105(f326(f326(f234(a1),f2(a1)),x66792))+~P105(f326(f326(f234(a1),f2(a1)),x66791))
% 225.13/225.11 [6697]P105(f326(f326(f234(a1),f2(a1)),f194(x66971,x66972)))+~P105(f326(f326(f234(a1),f2(a1)),x66972))+~P105(f326(f326(f234(a1),f2(a1)),x66971))
% 225.13/225.11 [6734]~P105(f326(x67341,x67342))+P105(f326(x67341,f2(a917)))+P105(f326(x67341,f326(f326(f79(a917),f879(x67342,x67341)),f77(a917))))
% 225.13/225.11 [6818]E(f326(f104(a917),x68181),f326(f104(a917),x68182))+~P105(f326(f326(f234(a1),f326(f104(a1),x68182)),f2(a1)))+~P105(f326(a193,f326(f104(a1),x68181)))
% 225.13/225.11 [6830]~E(x68301,f2(a917))+~E(f689(x68302,x68301),f2(a917))+E(f326(f142(a917,a917,f79(a917),x68301),x68302),f2(a917))
% 225.13/225.11 [6854]~P105(f326(f60(x68541),f445(x68542,x68541)))+~P105(f326(f60(f925(x68541,a913)),x68542))+P105(f326(f60(x68541),f36(f925(x68541,a913),x68542)))
% 225.13/225.11 [6860]E(x68601,x68602)+P105(f326(f326(f235(a1),x68601),x68602))+~P105(f326(f326(f235(a1),x68601),f326(f326(f79(a1),x68602),f77(a1))))
% 225.13/225.11 [6861]P105(f326(f326(f234(a917),f326(a105,x68611)),f326(a105,x68612)))+~P105(f326(f326(f234(a1),f2(a1)),x68612))+~P105(f326(f326(f234(a1),x68611),x68612))
% 225.13/225.11 [6862]P105(f326(f326(f234(a917),f326(a105,x68621)),f326(a105,x68622)))+~P105(f326(f326(f235(a1),f2(a1)),x68621))+~P105(f326(f326(f234(a1),x68621),x68622))
% 225.13/225.11 [6864]P105(f326(f326(f235(a917),f326(a105,x68641)),f326(a105,x68642)))+~P105(f326(f326(f234(a1),f2(a1)),x68641))+~P105(f326(f326(f235(a1),x68641),x68642))
% 225.13/225.11 [6865]P105(f326(f326(f235(a917),f326(a105,x68651)),f326(a105,x68652)))+~P105(f326(f326(f235(a1),f2(a1)),x68652))+~P105(f326(f326(f235(a1),x68651),x68652))
% 225.13/225.11 [6876]E(f44(a917,f326(a105,x68761),f326(a105,x68762)),f326(a105,f44(a1,x68761,x68762)))+~P105(f326(f326(f234(a1),f2(a1)),x68762))+~P105(f326(f326(f234(a1),f2(a1)),x68761))
% 225.13/225.11 [6901]~P77(x69011)+~P105(f326(f326(f234(x69011),f326(f78(x69011),x69012)),f2(x69011)))+P105(f326(f326(f234(x69011),f2(x69011)),x69012))
% 225.13/225.11 [6902]~P77(x69021)+~P105(f326(f326(f235(x69021),f326(f78(x69021),x69022)),f2(x69021)))+P105(f326(f326(f235(x69021),f2(x69021)),x69022))
% 225.13/225.11 [6916]~P105(f326(f326(f235(a1),a82),x69162))+~P105(f326(f326(f235(a1),x69161),x69162))+P105(f326(f326(f235(a917),f326(f104(a917),x69161)),f326(f104(a917),x69162)))
% 225.13/225.11 [7007]~P105(f326(f326(f234(a1),f2(a1)),x70071))+P105(f326(f326(f235(a917),f326(a105,x70071)),x70072))+~P105(f326(f326(f235(a1),x70071),f326(f100(a1),x70072)))
% 225.13/225.11 [7012]P105(f326(x70121,x70122))+~P105(f326(x70121,f326(a22,f817(x70121,x70122))))+~P105(f326(f326(f328(a917),x70122),f241(f925(a917,a913))))
% 225.13/225.11 [7023]E(x70231,f2(a1))+E(f44(a1,x70232,x70231),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f35(a1),x70232),x70231))),f77(a1)),f326(f326(f35(a1),x70232),f326(f78(a1),x70231)))
% 225.13/225.11 [7037]~P105(f326(f326(f234(a1),f2(a1)),x70371))+~P105(f326(f326(f235(a917),f326(a105,x70371)),x70372))+P105(f326(f326(f235(a1),x70371),f326(f100(a1),x70372)))
% 225.13/225.11 [7073]~P105(f326(f326(f234(a917),f326(a105,x70731)),f326(a105,x70732)))+~P105(f326(f326(f234(a1),f2(a1)),x70732))+P105(f326(f326(f234(a1),x70731),x70732))
% 225.13/225.11 [7074]~P105(f326(f326(f234(a917),f326(a105,x70741)),f326(a105,x70742)))+~P105(f326(f326(f235(a1),f2(a1)),x70741))+P105(f326(f326(f234(a1),x70741),x70742))
% 225.13/225.11 [7103]P105(f326(f326(f234(a1),x71031),x71032))+~P105(f326(f326(f234(a917),f326(f104(a917),x71031)),f326(f104(a917),x71032)))+P105(f326(f326(f234(a1),x71031),a82))
% 225.13/225.11 [7129]P105(f326(f326(f234(a1),f2(a1)),f44(a1,x71291,x71292)))+~P105(f326(f326(f234(a1),f2(a1)),x71292))+~P105(f326(f326(f234(a1),f2(a1)),x71291))
% 225.13/225.11 [7225]P105(f326(f326(f235(a1),a82),x72251))+~P105(f326(f326(f235(a1),x72252),x72251))+~P105(f326(f326(f235(a917),f326(f104(a917),x72252)),f326(f104(a917),x72251)))
% 225.13/225.11 [7279]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x72791),x72792)),f44(a1,x72791,x72792)),f49(x72791,x72792))+~P105(f326(f326(f235(a1),x72791),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x72792))
% 225.13/225.11 [7299]E(f326(f326(f251(a1,a1),f326(f326(f35(a1),x72991),x72992)),f44(a1,x72991,x72992)),f46(x72991,x72992))+~P105(f326(f326(f234(a1),f2(a1)),x72992))+~P105(f326(f326(f234(a1),f2(a1)),x72991))
% 225.13/225.11 [7353]~P95(x73532)+E(x73531,f113(x73532))+E(f326(f142(x73532,x73532,f80(x73532),f326(f141(x73532),x73531)),f326(f171(x73532),x73531)),f326(f62(x73532,f80(x73532)),f326(f172(x73532),x73531)))
% 225.13/225.11 [7470]~E(x74701,f2(a917))+E(f326(f142(a917,a917,f79(a917),x74701),x74702),f2(a917))+P105(f326(f326(f328(a917),f689(x74702,x74701)),f326(f172(a917),x74702)))
% 225.13/225.11 [7524]~P105(f326(f326(f234(a1),x75241),f2(a1)))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x75241),x75242)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x75242))
% 225.13/225.11 [7525]~P105(f326(f326(f235(a1),x75252),f2(a1)))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x75251),x75252)),f2(a1)))+~P105(f326(f326(f234(a1),f2(a1)),x75251))
% 225.13/225.11 [7526]~P105(f326(f326(f235(a1),x75262),f2(a1)))+P105(f326(f326(f235(a1),f326(f326(f35(a1),x75261),x75262)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x75261))
% 225.13/225.11 [7528]~P105(f326(f326(f235(a1),x75281),f2(a1)))+P105(f326(f326(f235(a1),f326(f326(f35(a1),x75281),x75282)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x75282))
% 225.13/225.11 [7535]P105(f326(f326(f328(f925(x75351,a913)),f445(x75352,x75351)),x75352))+~P105(f326(f60(f925(x75351,a913)),x75352))+P105(f326(f60(x75351),f36(f925(x75351,a913),x75352)))
% 225.13/225.11 [7625]P25(x76251,x76251,x76252,f241(f925(x76251,a913)))+~E(f326(f309(x76251,x76251,x76252),f241(f925(x76251,a913))),f241(f925(x76251,a913)))+~P105(f326(f60(x76251),f241(f925(x76251,a913))))
% 225.13/225.11 [7745]~P25(x77451,x77451,x77452,f241(f925(x77451,a913)))+E(f326(f309(x77451,x77451,x77452),f241(f925(x77451,a913))),f241(f925(x77451,a913)))+~P105(f326(f60(x77451),f241(f925(x77451,a913))))
% 225.13/225.11 [7885]E(f326(f326(f35(a1),x78851),x78852),f326(f104(a1),a97))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x78851),x78852)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x78851))
% 225.13/225.11 [7942]~P105(f326(f326(f235(a1),x79422),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f35(a1),x79421),x79422)),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x79421))
% 225.13/225.11 [7947]E(f326(f326(f79(a1),x79471),x79472),f44(a1,x79471,x79472))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),x79471),x79472)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x79471))
% 225.13/225.11 [7950]P105(f326(f326(f235(a1),x79501),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f35(a1),x79501),x79502)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x79502))
% 225.13/225.11 [8642]~P108(x86421)+P13(x86421,x86422)+~P105(f326(f326(f234(x86421),f326(f326(f164(x86421),x86422),f709(x86422,x86421))),f326(f326(f164(x86421),x86422),f710(x86422,x86421))))
% 225.13/225.11 [8643]~P108(x86431)+P13(x86431,x86432)+~P105(f326(f326(f234(x86431),f326(f326(f164(x86431),x86432),f717(x86432,x86431))),f326(f326(f164(x86431),x86432),f722(x86432,x86431))))
% 225.13/225.11 [5875]E(x58751,f2(a1))+~E(f44(a1,x58752,x58751),f2(a1))+E(f326(f326(f35(a1),x58752),f326(f78(a1),x58751)),f326(f78(a1),f326(f326(f35(a1),x58752),x58751)))
% 225.13/225.11 [5893]~P40(x58932)+~P40(x58931)+P40(f326(f326(f101(f925(a1,a913)),x58931),x58932))
% 225.13/225.11 [5894]~P40(x58942)+~P40(x58941)+P40(f326(f326(f102(f925(a1,a913)),x58941),x58942))
% 225.13/225.11 [5912]~P61(x59121)+~P92(x59121)+E(f326(f78(x59121),f326(f326(f290(x59121),f77(x59121)),x59122)),f326(f326(f290(x59121),f326(f104(x59121),a97)),x59122))
% 225.13/225.11 [6036]E(x60361,f2(a1))+~E(f44(a1,x60362,x60361),f2(a1))+E(f326(f326(f35(a1),f326(f78(a1),x60362)),x60361),f326(f78(a1),f326(f326(f35(a1),x60362),x60361)))
% 225.13/225.11 [6177]~P108(x61771)+P13(x61771,x61772)+P105(f326(f326(f235(a917),f710(x61772,x61771)),f326(f189(f918(x61771)),x61772)))
% 225.13/225.11 [6178]~P108(x61781)+P13(x61781,x61782)+P105(f326(f326(f235(a917),f722(x61782,x61781)),f326(f189(f918(x61781)),x61782)))
% 225.13/225.11 [6336]~P92(x63361)+~E(f326(f104(x63361),x63362),f2(x63361))+P28(x63361,f326(f104(x63361),f326(f326(f79(a1),x63362),f326(f78(a1),a82))))
% 225.13/225.11 [6337]~P92(x63371)+~E(f326(f104(x63371),x63372),f2(x63371))+P28(x63371,f326(f104(x63371),f326(f326(f79(a1),a82),f326(f78(a1),x63372))))
% 225.13/225.11 [6339]E(f326(a50,f46(f326(f78(a1),x63391),f326(f78(a1),x63392))),f45(x63391,x63392))+P105(f326(f326(f234(a1),f2(a1)),x63391))+P105(f326(f326(f235(a1),f2(a1)),x63392))
% 225.13/225.11 [6466]~E(x64662,f2(a917))+~E(x64661,f2(a917))+P105(f326(f326(f234(a1),f326(f100(a1),x64661)),f326(f78(a1),f326(f100(a1),x64662))))
% 225.13/225.11 [6495]E(f326(f326(f79(a917),f326(f104(a917),x64951)),f326(f104(a917),x64952)),f326(f104(a917),f326(f326(f79(a1),x64951),x64952)))+P105(f326(f326(f235(a1),x64951),a82))+P105(f326(f326(f235(a1),x64952),a82))
% 225.13/225.11 [6626]~P75(x66261)+~P105(f326(f326(f234(x66261),f2(x66261)),x66262))+P105(f326(f326(f234(x66261),f326(f78(x66261),x66262)),x66262))
% 225.13/225.11 [6627]~P75(x66271)+~P105(f326(f326(f235(x66271),f2(x66271)),x66272))+P105(f326(f326(f235(x66271),f326(f78(x66271),x66272)),x66272))
% 225.13/225.11 [6804]E(f326(f326(f3(a917),f326(a105,x68041)),f326(a105,x68042)),f326(a105,f326(f326(f3(a1),x68041),x68042)))+~P105(f326(f326(f234(a1),f2(a1)),x68042))+~P105(f326(f326(f234(a1),x68042),x68041))
% 225.13/225.11 [6838]E(f326(a105,f44(a1,f326(f104(a1),x68381),f326(f104(a1),x68382))),f44(a917,f326(f104(a917),x68381),f326(f104(a917),x68382)))+P105(f326(a193,f326(f104(a1),x68381)))+P105(f326(a193,f326(f104(a1),x68382)))
% 225.13/225.11 [6855]~P75(x68551)+P105(f326(f326(f234(x68551),f2(x68551)),x68552))+~P105(f326(f326(f234(x68551),f326(f78(x68551),x68552)),x68552))
% 225.13/225.11 [6856]~P75(x68561)+P105(f326(f326(f235(x68561),f2(x68561)),x68562))+~P105(f326(f326(f235(x68561),f326(f78(x68561),x68562)),x68562))
% 225.13/225.11 [6868]~P75(x68681)+~P105(f326(f326(f234(x68681),f2(x68681)),x68682))+P105(f326(f326(f234(x68681),f2(x68681)),f326(f326(f79(x68681),x68682),x68682)))
% 225.13/225.11 [6870]~P75(x68701)+~P105(f326(f326(f235(x68701),f2(x68701)),x68702))+P105(f326(f326(f235(x68701),f2(x68701)),f326(f326(f79(x68701),x68702),x68702)))
% 225.13/225.11 [6884]E(f326(f326(f79(a917),f326(a105,x68841)),f326(a105,x68842)),f326(a105,f326(f326(f79(a1),x68841),x68842)))+~P105(f326(f326(f234(a1),f2(a1)),x68842))+~P105(f326(f326(f234(a1),f2(a1)),x68841))
% 225.13/225.11 [6895]E(x68951,f2(a917))+P105(f326(f326(f235(a917),f2(a917)),x68952))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f243(a917),x68952),x68951)))
% 225.13/225.11 [6928]~P92(x69281)+E(f326(f104(x69281),x69282),f2(x69281))+~P28(x69281,f326(f104(x69281),f326(f326(f79(a1),a82),f326(f78(a1),x69282))))
% 225.13/225.11 [6929]~P92(x69291)+E(f326(f104(x69291),x69292),f2(x69291))+~P28(x69291,f326(f104(x69291),f326(f326(f79(a1),x69292),f326(f78(a1),a82))))
% 225.13/225.11 [6985]~P105(f326(f60(x69851),x69852))+~P105(f326(f60(x69851),f241(f925(x69851,a913))))+P105(f326(f60(x69851),f326(f78(f925(x69851,a913)),x69852)))
% 225.13/225.11 [7008]~P105(f326(f326(f235(a1),f2(a1)),x70082))+~P105(f326(f326(f234(a1),x70082),x70081))+P105(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x70081),x70082)))
% 225.13/225.11 [7009]~P105(f326(f326(f234(a1),x70091),f2(a1)))+~P105(f326(f326(f235(a1),x70092),f2(a1)))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70091),x70092)))
% 225.13/225.11 [7047]~P105(f326(f326(f234(a1),f2(a1)),x70472))+~P105(f326(f326(f234(a1),f2(a1)),x70471))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f80(a1),x70471),x70472)))
% 225.13/225.11 [7048]~P105(f326(f326(f234(a1),f2(a1)),x70482))+~P105(f326(f326(f234(a1),f2(a1)),x70481))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x70481),x70482)))
% 225.13/225.11 [7049]~P105(f326(f326(f234(a1),f2(a1)),x70492))+~P105(f326(f326(f234(a1),f2(a1)),x70491))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70491),x70492)))
% 225.13/225.11 [7050]~P105(f326(f326(f234(a1),f2(a1)),x70501))+~P105(f326(f326(f235(a1),f2(a1)),x70502))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x70501),x70502)))
% 225.13/225.11 [7051]~P105(f326(f326(f235(a917),f2(a917)),x70512))+~P105(f326(f326(f235(a917),f2(a917)),x70511))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f80(a917),x70511),x70512)))
% 225.13/225.11 [7116]E(x71161,f2(a1))+E(f44(a1,x71162,x71161),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f35(a1),x71162),x71161))),f77(a1)),f326(f326(f35(a1),f326(f78(a1),x71162)),x71161))
% 225.13/225.11 [7171]P105(f326(f326(f235(a917),f2(a917)),x71711))+P105(f326(f326(f235(a917),f2(a917)),x71712))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f79(a917),x71712),x71711)))
% 225.13/225.11 [7175]~P75(x71751)+P105(f326(f326(f234(x71751),f2(x71751)),x71752))+~P105(f326(f326(f234(x71751),f2(x71751)),f326(f326(f79(x71751),x71752),x71752)))
% 225.13/225.11 [7176]~P75(x71761)+P105(f326(f326(f235(x71761),f2(x71761)),x71762))+~P105(f326(f326(f235(x71761),f2(x71761)),f326(f326(f79(x71761),x71762),x71762)))
% 225.13/225.11 [7226]~P105(f326(f60(x72261),x72262))+P105(f326(f60(x72261),f241(f925(x72261,a913))))+~P105(f326(f60(x72261),f326(f78(f925(x72261,a913)),x72262)))
% 225.13/225.11 [7291]P105(f326(f326(f234(a1),x72911),f2(a1)))+~P105(f326(f326(f235(a1),x72912),f2(a1)))+~P105(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x72911),x72912)))
% 225.13/225.11 [7297]~P105(f326(f326(f235(a1),f2(a1)),x72971))+P105(f326(f326(f234(a1),x72971),x72972))+~P105(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x72972),x72971)))
% 225.13/225.11 [7298]~P105(f326(f326(f234(a1),f2(a1)),x72982))+P105(f326(f326(f234(a1),x72981),x72982))+~P105(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x72982),x72981)))
% 225.13/225.11 [7328]P105(f326(f326(f234(a1),f2(a1)),x73281))+~P105(f326(f326(f235(a1),f2(a1)),x73282))+~P105(f326(f326(f234(a1),f2(a1)),f326(f326(f35(a1),x73281),x73282)))
% 225.13/225.11 [7329]P105(f326(f326(f235(a1),f2(a1)),x73291))+~P105(f326(f326(f234(a1),f2(a1)),x73292))+~P105(f326(f326(f235(a1),f2(a1)),f326(f326(f35(a1),x73292),x73291)))
% 225.13/225.11 [7776]~P105(f326(f60(x77762),f241(f925(x77762,a913))))+~P105(f326(f60(x77761),f241(f925(x77761,a913))))+P105(f326(f60(f923(x77761,x77762)),f241(f925(f923(x77761,x77762),a913))))
% 225.13/225.11 [7777]~P105(f326(f60(x77772),f241(f925(x77772,a913))))+~P105(f326(f60(x77771),f241(f925(x77771,a913))))+P105(f326(f60(f924(x77771,x77772)),f241(f925(f924(x77771,x77772),a913))))
% 225.13/225.11 [7849]~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x78491))+~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x78492))+P105(f326(f326(f235(a917),x78491),f326(f326(f80(a917),x78492),x78491)))
% 225.13/225.11 [7850]~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x78501))+~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x78502))+P105(f326(f326(f235(a917),x78501),f326(f326(f80(a917),x78501),x78502)))
% 225.13/225.11 [7884]E(f326(f34(x78841),f241(f925(x78841,a913))),f326(a112,f2(a917)))+P105(f326(f60(x78842),f241(f925(x78842,a913))))+~P105(f326(f60(f925(x78842,x78841)),f241(f925(f925(x78842,x78841),a913))))
% 225.13/225.11 [8010]~P105(f326(f326(f234(a917),f326(a112,f2(a917))),x80101))+~P105(f326(f326(f234(a917),f326(a112,f2(a917))),x80102))+P105(f326(f326(f234(a917),f326(a112,f2(a917))),f326(f326(f80(a917),x80101),x80102)))
% 225.13/225.11 [8011]~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x80112))+~P105(f326(f326(f235(a917),f326(a112,f2(a917))),x80111))+P105(f326(f326(f235(a917),f326(a112,f2(a917))),f326(f326(f80(a917),x80111),x80112)))
% 225.13/225.11 [8689]E(x86891,f113(x86892))+~P105(f326(f137(x86892),x86891))+E(f177(x86892,f326(f326(f10(a913,a913,x86892),a321),f326(f326(f9(x86892,x86892,a913),a323),f144(x86892,x86891))),x86891),f114(x86892,x86891))
% 225.13/225.11 [8784]~P40(x87842)+~P40(x87841)+E(f326(f309(a917,a1,f100(a1)),f326(f326(f101(f925(a917,a913)),f326(f309(a1,a917,a105),x87841)),f326(f309(a1,a917,a105),x87842))),f326(f326(f101(f925(a1,a913)),x87841),x87842))
% 225.13/225.11 [8785]~P40(x87852)+~P40(x87851)+E(f326(f309(a917,a1,f100(a1)),f326(f326(f102(f925(a917,a913)),f326(f309(a1,a917,a105),x87851)),f326(f309(a1,a917,a105),x87852))),f326(f326(f102(f925(a1,a913)),x87851),x87852))
% 225.13/225.11 [9449]~P92(x94491)+~E(f326(f104(x94491),x94492),f77(x94491))+P28(x94491,f326(f104(x94491),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x94492))))
% 225.13/225.11 [9699]~P92(x96991)+E(f326(f104(x96991),x96992),f77(x96991))+~P28(x96991,f326(f104(x96991),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x96992))))
% 225.13/225.11 [10461]E(x104611,f2(a1))+E(x104612,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104612))),f326(f326(f326(f96(f924(a1,a1)),f326(f326(a323,f81(a1,x104611)),f81(a1,x104612))),f52(x104611,x104612)),f326(f326(f256(a1,a1,f924(a1,a1)),f326(f326(f20(a1,f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f925(f924(a1,a1),f924(a1,a1))),f925(f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),a1),f20(a1,f924(a1,a1),f924(a1,a1))),f326(f326(f10(f924(a1,a1),f925(a1,f925(f924(a1,a1),f924(a1,a1))),a1),f326(f9(a1,f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),f326(f326(f10(a913,f925(f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),a1),f96(f924(a1,a1))),f326(f326(f9(a1,a1,a913),a323),f2(a1))))),f326(f326(f9(a1,a1,f924(a1,a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f925(a1,a1),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f924(a1,a1)),f925(f925(a1,a1),f925(a1,f924(a1,a1))),a1),f10(a1,f924(a1,a1),a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f925(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104612))))),f52(x104611,x104612)))),f45(x104611,x104612))
% 225.13/225.11 [10462]E(x104621,f2(a1))+E(x104622,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104622))),f326(f326(f326(f96(f924(a1,a1)),f326(f326(a325,f326(f326(a324,f326(f326(f235(a1),f2(a1)),x104622)),f326(f326(f234(a1),f2(a1)),x104621))),f326(f326(a324,f326(f326(f235(a1),x104622),f2(a1))),f326(f326(f235(a1),x104621),f2(a1))))),f52(x104621,x104622)),f326(f326(f256(a1,a1,f924(a1,a1)),f326(f326(f20(a1,f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f925(f924(a1,a1),f924(a1,a1))),f925(f925(a1,f924(a1,a1)),f925(a1,f924(a1,a1))),a1),f20(a1,f924(a1,a1),f924(a1,a1))),f326(f326(f10(f924(a1,a1),f925(a1,f925(f924(a1,a1),f924(a1,a1))),a1),f326(f9(a1,f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),f326(f326(f10(a913,f925(f924(a1,a1),f925(f924(a1,a1),f924(a1,a1))),a1),f96(f924(a1,a1))),f326(f326(f9(a1,a1,a913),a323),f2(a1))))),f326(f326(f9(a1,a1,f924(a1,a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f925(a1,a1),f925(a1,f924(a1,a1))),f326(f326(f10(f925(a1,f924(a1,a1)),f925(f925(a1,a1),f925(a1,f924(a1,a1))),a1),f10(a1,f924(a1,a1),a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f925(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104622))))),f52(x104621,x104622)))),f45(x104621,x104622))
% 225.13/225.11 [5901]~P113(x59011)+~P92(x59011)+E(f326(f75(x59011),f326(f326(f243(x59011),f326(f104(x59011),a97)),x59012)),f77(x59011))
% 225.13/225.11 [6407]~P141(x64071)+~P105(f326(f326(f235(a1),x64072),f2(a1)))+E(f326(f78(x64071),f326(f100(x64071),f326(a105,f326(f78(a1),x64072)))),f326(f103(x64071),x64072))
% 225.13/225.11 [6610]P105(f326(f326(f234(a99),x66101),f77(a99)))+E(f326(f326(f79(a99),f77(a99)),f271(x66101,f326(f326(f35(a99),x66102),x66101))),f271(x66101,x66102))+P105(f326(f326(f235(a99),x66102),x66101))
% 225.13/225.11 [7215]~P90(x72151)+~P105(f326(f326(f328(x72151),x72152),f110(x72151)))+~E(f326(f326(f79(x72151),f326(f326(f79(x72151),f77(x72151)),x72152)),x72152),f2(x72151))
% 225.13/225.11 [7330]~P105(f326(f326(f234(a1),x73302),f2(a1)))+~P105(f326(f326(f235(a1),x73301),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f46(f326(f78(a1),x73301),f326(f78(a1),x73302)))),f326(f326(f35(a1),x73301),x73302))
% 225.13/225.11 [7347]~P105(f326(f326(f234(a1),x73472),f2(a1)))+~P105(f326(f326(f235(a1),x73471),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f46(f326(f78(a1),x73471),f326(f78(a1),x73472)))),f44(a1,x73471,x73472))
% 225.13/225.11 [7355]~P105(f326(f326(f235(a1),x73552),f2(a1)))+E(f326(f250(a1,a1),f326(a50,f49(f326(f78(a1),x73551),f326(f78(a1),x73552)))),f326(f326(f35(a1),x73551),x73552))+~P105(f326(f326(f235(a1),f2(a1)),x73551))
% 225.13/225.11 [7373]~P105(f326(f326(f235(a1),x73732),f2(a1)))+E(f326(f255(a1,a1),f326(a50,f49(f326(f78(a1),x73731),f326(f78(a1),x73732)))),f44(a1,x73731,x73732))+~P105(f326(f326(f235(a1),f2(a1)),x73731))
% 225.13/225.11 [7426]E(f326(f326(f35(a1),f326(f326(f243(a1),x74261),x74262)),x74261),f326(f326(f243(a1),x74261),f326(f326(f3(a917),x74262),f326(a112,f2(a917)))))+~P105(f326(f326(f235(a917),f2(a917)),x74262))+~P105(f326(f326(f235(a1),f2(a1)),x74261))
% 225.13/225.11 [7531]~P105(f326(f326(f235(a917),f2(a917)),x75311))+~P105(f326(f326(f235(a917),f2(a917)),x75312))+P105(f326(f326(f235(a917),f326(f326(f3(a917),x75311),x75312)),x75311))
% 225.13/225.11 [7532]~P105(f326(f326(f235(a917),f2(a917)),x75321))+~P105(f326(f326(f235(a917),f77(a917)),x75322))+P105(f326(f326(f235(a917),f326(f326(f35(a917),x75321),x75322)),x75321))
% 225.13/225.11 [7533]~P105(f326(f326(f235(a1),f2(a1)),x75331))+~P105(f326(f326(f235(a1),f77(a1)),x75332))+P105(f326(f326(f235(a1),f326(f326(f35(a1),x75331),x75332)),x75331))
% 225.13/225.11 [7671]E(x76711,f2(a917))+~E(x76712,f2(a1))+~P105(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x76712)),x76711)))
% 225.13/225.11 [8089]~E(x80892,f113(f918(x80891)))+E(f326(f189(f918(f918(x80891))),f179(x80891,x80892)),f2(a917))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x80891),a917),f189(f918(x80891))),x80892)))
% 225.13/225.11 [8342]P105(f326(x83421,x83422))+~P105(f326(x83421,f326(a108,f535(x83421,x83422))))+~P105(f326(f326(f328(f925(f924(a917,a917),a913)),x83422),a98))
% 225.13/225.11 [8358]E(x83581,f113(f918(x83582)))+E(f326(f189(f918(x83582)),f326(f326(f164(f918(x83582)),x83581),f2(a917))),f326(f189(f918(f918(x83582))),f179(x83582,x83581)))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x83582),a917),f189(f918(x83582))),x83581)))
% 225.13/225.11 [8498]~P38(x84981,x84982)+~P39(x84981,x84982)+P38(x84981,f326(f326(f3(f925(f924(x84981,x84981),a913)),x84982),f306(x84981,f188(f925(f924(x84981,x84981),a913)))))
% 225.13/225.11 [9069]~P105(f326(f60(x90691),f326(f261(x90691),x90692)))+~P105(f326(f60(x90691),f241(f925(x90691,a913))))+P105(f326(f60(x90691),f326(f261(x90691),f326(f326(f10(a913,a913,x90691),a321),x90692))))
% 225.13/225.11 [9133]E(f326(f326(f251(a917,a917),f326(a112,f326(f326(f35(a917),f326(f326(f3(a917),x91331),x91332)),x91332))),f44(a917,f326(f326(f3(a917),x91331),x91332),x91332)),f84(f924(a917,a917),f47(x91331,x91332)))+~P105(f326(f326(f235(a917),f2(a917)),x91332))+~P105(f326(f326(f234(a917),x91332),x91331))
% 225.13/225.11 [9415]~P105(f326(f60(x94151),f326(f261(x94151),x94152)))+P105(f326(f60(x94151),f241(f925(x94151,a913))))+~P105(f326(f60(x94151),f326(f261(x94151),f326(f326(f10(a913,a913,x94151),a321),x94152))))
% 225.13/225.11 [10140]P27(x101401,x101402)+~P37(x101401,f326(f250(f925(f924(x101401,x101401),a913),f925(f924(x101401,x101401),a913)),x101402))+~P105(f326(f326(f234(f925(f924(x101401,x101401),a913)),f326(f326(f288(x101401,x101401,x101401),f326(f250(f925(f924(x101401,x101401),a913),f925(f924(x101401,x101401),a913)),x101402)),f326(f255(f925(f924(x101401,x101401),a913),f925(f924(x101401,x101401),a913)),x101402))),f326(f250(f925(f924(x101401,x101401),a913),f925(f924(x101401,x101401),a913)),x101402)))
% 225.13/225.11 [10237]~E(f299(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x102372,x102371),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x102372),x102371))+P105(f326(f326(f286(a917),x102371),x102372))
% 225.13/225.11 [10238]~E(f296(a917,f286(a917),f326(f326(f20(a917,f925(a917,a913),f925(a917,a913)),f326(f326(f10(f925(a917,f925(a913,a913)),f925(f925(a917,a913),f925(a917,a913)),a917),f20(a917,a913,a913)),f326(f326(f10(f925(a917,a913),f925(a917,f925(a913,a913)),a917),f326(f10(a913,f925(a913,a913),a917),a324)),f286(a917)))),f326(f326(f10(f925(a917,a913),f925(a917,a913),a917),f326(f10(a913,a913,a917),a321)),f326(f9(a917,a917,a913),f286(a917)))),x102382,x102381),f188(f925(a917,a913)))+~P105(f326(f326(f286(a917),x102382),x102381))+P105(f326(f326(f286(a917),x102381),x102382))
% 225.13/225.11 [7456]~P105(f326(f326(f235(a917),f2(a917)),x74562))+P105(f326(f326(f235(a917),x74561),x74562))+E(f326(a112,f326(f326(f35(a917),f326(f326(f3(a917),x74561),x74562)),x74562)),f326(f326(f35(a917),x74561),x74562))
% 225.13/225.11 [7597]~P105(f326(f326(f235(a917),f2(a917)),x75972))+~P105(f326(f326(f234(a917),x75972),x75971))+E(f326(a112,f326(f326(f35(a917),f326(f326(f3(a917),x75971),x75972)),x75972)),f326(f326(f35(a917),x75971),x75972))
% 225.13/225.11 [8561]~P92(x85611)+~P90(x85611)+~P28(x85611,f326(f104(x85611),f326(f326(f3(a1),f326(f326(f79(a1),x85612),x85612)),a97)))
% 225.13/225.11 [9322]E(x93221,f2(a917))+E(f326(f326(f256(a917,a917,f924(a917,a917)),f326(f326(f10(a917,f925(a917,f924(a917,a917)),a917),f251(a917,a917)),a112)),f84(f924(a917,a917),f47(f326(f326(f3(a917),x93222),x93221),x93221))),f84(f924(a917,a917),f47(x93222,x93221)))+P105(f326(f326(f235(a917),x93222),x93221))
% 225.13/225.11 [9503]~P38(x95031,x95032)+~P51(x95031,x95032)+P105(f326(f326(f234(f925(f924(x95031,x95031),a913)),f326(f326(f288(x95031,x95031,x95031),f326(f285(x95031,x95031),x95032)),x95032)),x95032))
% 225.13/225.11 [9763]P105(f326(x97632,f642(x97632,x97631)))+P105(f326(x97631,f642(x97632,x97631)))+E(f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97631)),f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97632)))
% 225.13/225.11 [9767]~P105(f326(x97672,f642(x97672,x97671)))+~P105(f326(x97671,f642(x97672,x97671)))+E(f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97671)),f326(f261(a1),f326(f326(f20(a1,a913,a913),f326(f326(f10(a913,f925(a913,a913),a1),a324),f326(f234(a1),f2(a1)))),x97672)))
% 225.13/225.11 [7807]~P62(x78071)+~P92(x78071)+E(f326(f326(f290(x78071),x78072),f326(f104(x78071),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x78072)
% 225.13/225.11 [9448]~P92(x94481)+~E(f326(f104(x94481),x94482),f77(x94481))+P28(x94481,f326(f104(x94481),f326(f326(f79(a1),x94482),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.11 [9635]~P142(x96351)+~E(x96352,f77(x96351))+E(f326(f326(f243(x96351),x96352),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96351))
% 225.13/225.11 [9636]~P142(x96361)+~E(x96362,f2(x96361))+E(f326(f326(f243(x96361),x96362),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96361))
% 225.13/225.11 [9651]~P142(x96511)+~E(x96512,f326(f78(x96511),f77(x96511)))+E(f326(f326(f243(x96511),x96512),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96511))
% 225.13/225.11 [9700]~P92(x97001)+E(f326(f104(x97001),x97002),f77(x97001))+~P28(x97001,f326(f104(x97001),f326(f326(f79(a1),x97002),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.13/225.11 [10083]~P113(x100832)+E(x100831,f2(x100832))+P105(f326(f326(f235(x100832),f2(x100832)),f326(f326(f243(x100832),x100831),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.11 [10139]~P113(x101392)+~E(x101391,f2(x101392))+~P105(f326(f326(f235(x101392),f2(x101392)),f326(f326(f243(x101392),x101391),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.13/225.11 [10176]P105(f326(f326(f234(a1),x101761),f2(a1)))+P105(f326(f326(f235(a1),x101762),x101761))+E(f326(f42(x101761),f46(x101762,f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101761))),f46(x101762,x101761))
% 225.13/225.11 [10177]~P105(f326(f326(f235(a1),f2(a1)),x101771))+P105(f326(f326(f235(a1),x101772),x101771))+E(f326(f42(x101771),f46(x101772,f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101771))),f46(x101772,x101771))
% 225.13/225.11 [10178]P105(f326(f326(f234(a1),x101781),f2(a1)))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101782),x101781)))+E(f326(f42(x101781),f49(x101782,f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101781))),f49(x101782,x101781))
% 225.13/225.11 [10179]~P105(f326(f326(f235(a1),f2(a1)),x101791))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101792),x101791)))+E(f326(f42(x101791),f49(x101792,f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101791))),f49(x101792,x101791))
% 225.13/225.11 [10180]~P145(x101801)+~P105(f326(f326(f234(a1),f2(a1)),x101802))+E(f326(f100(x101801),f326(a105,f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101802))),f326(f326(f79(x101801),f326(f100(x101801),f326(a105,x101802))),f326(f100(x101801),f326(a105,x101802))))
% 225.13/225.11 [5233]~P147(x52331,x52332,x52333)+~E(x52333,f2(a1))+P105(f326(x52331,x52332))
% 225.13/225.11 [5356]~P108(x53561)+~P13(x53561,x53563)+P13(x53561,f170(x53561,x53562,x53563))
% 225.13/225.11 [5357]~P108(x53571)+~P13(x53571,x53573)+P13(x53571,f177(x53571,x53572,x53573))
% 225.13/225.11 [4922]~P74(x49222)+~E(x49223,f326(f78(x49222),x49221))+E(x49221,f326(f78(x49222),x49223))
% 225.13/225.11 [4924]~P74(x49241)+~E(f326(f78(x49241),x49243),x49242)+E(f326(f78(x49241),x49242),x49243)
% 225.13/225.11 [5003]~P93(x50033)+E(x50031,x50032)+~E(f326(f100(x50033),x50031),f326(f100(x50033),x50032))
% 225.13/225.11 [5004]~P74(x50043)+E(x50041,x50042)+~E(f326(f78(x50043),x50041),f326(f78(x50043),x50042))
% 225.13/225.11 [5005]~P94(x50053)+E(x50051,x50052)+~E(f326(f78(x50053),x50051),f326(f78(x50053),x50052))
% 225.13/225.11 [5006]~P90(x50063)+E(x50061,x50062)+~E(f326(f103(x50063),x50061),f326(f103(x50063),x50062))
% 225.13/225.11 [5007]~P108(x50073)+E(x50071,x50072)+~E(f326(f300(x50073),x50071),f326(f300(x50073),x50072))
% 225.13/225.11 [5008]~P108(x50083)+E(x50081,x50082)+~E(f326(f281(x50083),x50081),f326(f281(x50083),x50082))
% 225.13/225.11 [5009]~P108(x50093)+E(x50091,x50092)+~E(f326(f282(x50093),x50091),f326(f282(x50093),x50092))
% 225.13/225.11 [5010]~P108(x50103)+E(x50101,x50102)+~E(f326(f303(x50103),x50101),f326(f303(x50103),x50102))
% 225.13/225.11 [5112]~P60(x51121)+~P105(f326(x51122,x51123))+P105(f326(f55(x51121),x51122))
% 225.13/225.11 [5152]~P60(x51523)+P105(f326(x51521,x51522))+~P105(f326(f56(x51523),x51521))
% 225.13/225.11 [5253]~P148(x52531,x52533,x52532)+~E(x52532,f2(a1))+P105(f326(x52531,f2(a1)))
% 225.13/225.11 [5292]~E(x52921,f2(a917))+E(f818(x52921,x52922,x52923),f188(f925(x52923,a913)))+~E(f326(f34(x52923),x52922),f326(a112,x52921))
% 225.13/225.11 [5440]~E(x54402,f2(a917))+E(f326(f250(a917,a917),x54401),f2(a917))+~P105(f326(f47(x54403,x54402),x54401))
% 225.13/225.11 [5485]P105(f326(x54851,x54852))+~E(x54853,f326(f100(a1),x54852))+~P105(f326(x54851,f326(a105,x54853)))
% 225.13/225.11 [5965]~E(x59653,f2(a917))+~P105(f326(x59651,x59652))+P105(f326(x59651,f44(a917,x59652,x59653)))
% 225.13/225.11 [6206]~P103(x62062)+~P103(x62061)+E(f131(x62061,x62062,f132(x62061,x62063),f132(x62062,x62063)),f132(f924(x62061,x62062),x62063))
% 225.13/225.11 [6388]~E(x63883,f2(a917))+P105(f326(x63881,x63882))+~P105(f326(x63881,f44(a917,x63882,x63883)))
% 225.13/225.11 [6881]E(x68811,f188(f925(x68812,a913)))+~P105(f326(f60(x68812),x68811))+P105(f326(f61(x68812,x68813,x68811),f542(x68813,x68811,x68812)))
% 225.13/225.11 [7072]E(x70721,f2(a917))+~P105(f326(x70722,f343(x70721,x70723,x70722)))+P105(f326(x70722,f44(a917,x70723,x70721)))
% 225.13/225.11 [7181]~P5(x71811)+~P105(f326(f326(f234(x71811),x71812),f463(x71813,x71812,x71811)))+P105(f326(f326(f234(x71811),x71812),f37(x71811,x71813)))
% 225.13/225.11 [7183]~P105(f326(x71831,x71832))+~P105(f326(x71831,f343(x71833,x71832,x71831)))+P105(f326(x71831,f44(a917,x71832,x71833)))
% 225.13/225.11 [7285]E(x72851,f113(x72852))+E(f326(f326(f151(x72852),f691(x72853,x72851,x72852)),f694(x72853,x72851,x72852)),x72851)+~P105(f326(f326(f328(f918(x72852)),x72851),f161(x72852,x72853)))
% 225.13/225.11 [7317]~P141(x73171)+~P105(f326(f326(f328(x73171),x73172),f110(x73171)))+P105(f326(f326(f328(x73171),f326(f326(f243(x73171),x73172),x73173)),f110(x73171)))
% 225.13/225.11 [7643]P37(x76431,x76432)+~P105(f326(f326(f328(x76431),x76433),f602(x76432,x76431)))+P105(f326(f326(f328(x76431),f613(x76432,x76431,x76433)),f602(x76432,x76431)))
% 225.13/225.11 [7912]E(x79121,f113(x79122))+~P105(f326(f326(f328(f918(x79122)),x79121),f161(x79122,x79123)))+P105(f326(f326(f328(f918(x79122)),f694(x79123,x79121,x79122)),f161(x79122,x79123)))
% 225.13/225.11 [7964]E(x79641,f2(a917))+E(f326(f326(f79(a917),f326(f326(f80(a917),x79641),f344(x79641,x79642,x79643))),f343(x79641,x79642,x79643)),x79642)+P105(f326(x79643,f44(a917,x79642,x79641)))
% 225.13/225.11 [8005]~P105(f326(x80053,x80052))+E(f326(f326(f79(a917),f326(f326(f80(a917),x80051),f344(x80051,x80052,x80053))),f343(x80051,x80052,x80053)),x80052)+P105(f326(x80053,f44(a917,x80052,x80051)))
% 225.13/225.11 [8145]P105(f326(f326(f235(a1),x81451),f907(x81452,x81453,x81451)))+P105(f326(f326(x81453,f326(f326(f35(a1),x81452),x81451)),f44(a1,x81452,x81451)))+~P105(f326(f326(f235(a1),x81451),f2(a1)))
% 225.13/225.11 [8413]P105(f326(f326(x84132,f326(f326(f35(a1),x84131),x84133)),f44(a1,x84131,x84133)))+~P105(f326(f326(f235(a1),x84133),f2(a1)))+P105(f326(f326(f234(a1),f907(x84131,x84132,x84133)),f2(a1)))
% 225.13/225.11 [8595]E(f326(f326(f79(a1),f326(f326(f80(a1),x85951),f908(x85952,x85953,x85951))),f907(x85952,x85953,x85951)),x85952)+P105(f326(f326(x85953,f326(f326(f35(a1),x85952),x85951)),f44(a1,x85952,x85951)))+~P105(f326(f326(f235(a1),x85951),f2(a1)))
% 225.13/225.11 [8832]~P105(f326(f326(x88321,f908(x88322,x88321,x88323)),f907(x88322,x88321,x88323)))+P105(f326(f326(x88321,f326(f326(f35(a1),x88322),x88323)),f44(a1,x88322,x88323)))+~P105(f326(f326(f235(a1),x88323),f2(a1)))
% 225.13/225.11 [9082]~P108(x90821)+~P13(x90821,x90823)+P13(x90821,f149(x90821,x90821,f7(x90821),x90822,x90823))
% 225.13/225.11 [9580]~P127(x95802)+E(x95801,f2(x95802))+~P105(f326(f326(f234(x95802),f326(f326(f79(x95802),f326(f326(f80(x95802),x95803),x95803)),f326(f326(f80(x95802),x95801),x95801))),f2(x95802)))
% 225.13/225.11 [9581]~P127(x95812)+E(x95811,f2(x95812))+~P105(f326(f326(f234(x95812),f326(f326(f79(x95812),f326(f326(f80(x95812),x95811),x95811)),f326(f326(f80(x95812),x95813),x95813))),f2(x95812)))
% 225.13/225.11 [10394]~P113(x103941)+~P105(f326(f326(f235(x103941),x103942),f2(x103941)))+P105(f326(f326(f235(x103941),f326(f326(f243(x103941),x103942),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103943)))),f2(x103941)))
% 225.13/225.11 [10404]~P113(x104042)+E(x104041,f2(x104042))+~P105(f326(f326(f234(x104042),f326(f326(f79(x104042),f326(f326(f243(x104042),x104043),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104042),x104041),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104042)))
% 225.13/225.11 [10405]~P113(x104052)+E(x104051,f2(x104052))+~P105(f326(f326(f234(x104052),f326(f326(f79(x104052),f326(f326(f243(x104052),x104051),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104052),x104053),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104052)))
% 225.13/225.11 [4958]~E(x49582,x49583)+~P67(x49581)+E(f326(f326(f3(x49581),x49582),x49583),f2(x49581))
% 225.13/225.11 [4959]~E(x49592,x49593)+~P74(x49591)+E(f326(f326(f3(x49591),x49592),x49593),f2(x49591))
% 225.13/225.11 [4972]~P143(x49721)+~E(x49723,f2(x49721))+E(f326(f326(f79(x49721),x49722),x49723),x49722)
% 225.13/225.11 [4989]~P140(x49891)+~E(x49893,f2(x49891))+E(f326(f326(f80(x49891),x49892),x49893),f2(x49891))
% 225.13/225.11 [4990]~P140(x49901)+~E(x49902,f2(x49901))+E(f326(f326(f80(x49901),x49902),x49903),f2(x49901))
% 225.13/225.11 [5012]~E(x50123,f113(x50121))+~E(x50122,f113(x50121))+E(f326(f326(f134(x50121),x50122),x50123),f113(x50121))
% 225.13/225.11 [5102]~P143(x51022)+E(x51021,f2(x51022))+~E(f326(f326(f79(x51022),x51023),x51021),x51023)
% 225.13/225.11 [5103]~P74(x51031)+~E(x51032,f326(f78(x51031),x51033))+E(f326(f326(f79(x51031),x51032),x51033),f2(x51031))
% 225.13/225.11 [5110]E(x51101,f113(x51102))+E(x51103,f2(a917))+~E(f326(f326(f175(x51102),x51103),x51101),f113(x51102))
% 225.13/225.11 [5120]~P67(x51203)+E(x51201,x51202)+~E(f326(f326(f3(x51203),x51201),x51202),f2(x51203))
% 225.13/225.11 [5121]~P74(x51213)+E(x51211,x51212)+~E(f326(f326(f3(x51213),x51211),x51212),f2(x51213))
% 225.13/225.11 [5134]~P142(x51342)+E(x51341,f2(x51342))+~E(f326(f326(f243(x51342),x51341),x51343),f2(x51342))
% 225.13/225.11 [5135]~P96(x51352)+E(x51351,f188(x51352))+~E(f326(f326(f101(x51352),x51353),x51351),f188(x51352))
% 225.13/225.11 [5136]~P96(x51362)+E(x51361,f188(x51362))+~E(f326(f326(f101(x51362),x51361),x51363),f188(x51362))
% 225.13/225.11 [5137]~P101(x51372)+E(x51371,f241(x51372))+~E(f326(f326(f102(x51372),x51373),x51371),f241(x51372))
% 225.13/225.11 [5138]~P101(x51382)+E(x51381,f241(x51382))+~E(f326(f326(f102(x51382),x51381),x51383),f241(x51382))
% 225.13/225.11 [5207]~P74(x52072)+E(x52071,f326(f78(x52072),x52073))+~E(f326(f326(f79(x52072),x52071),x52073),f2(x52072))
% 225.13/225.11 [5208]~P74(x52081)+E(f326(f78(x52081),x52082),x52083)+~E(f326(f326(f79(x52081),x52082),x52083),f2(x52081))
% 225.13/225.11 [5210]~E(x52102,x52103)+~P106(x52101)+P105(f326(f326(f234(x52101),x52102),x52103))
% 225.13/225.11 [5212]~E(x52122,x52123)+~P109(x52121)+P105(f326(f326(f234(x52121),x52122),x52123))
% 225.13/225.11 [5309]~P122(x53091)+~E(x53092,f326(f78(x53091),x53093))+E(f326(f326(f80(x53091),x53092),x53092),f326(f326(f80(x53091),x53093),x53093))
% 225.13/225.11 [5317]~P108(x53171)+~P13(x53171,x53173)+P13(x53171,f326(f326(f175(x53171),x53172),x53173))
% 225.13/225.11 [5318]~P108(x53181)+~P13(x53181,x53183)+P13(x53181,f326(f326(f138(x53181),x53182),x53183))
% 225.13/225.11 [5354]E(x53541,x53542)+E(x53543,f2(a917))+~E(f326(f326(f80(a917),x53543),x53541),f326(f326(f80(a917),x53543),x53542))
% 225.13/225.11 [5355]E(x53551,x53552)+E(x53553,f2(a917))+~E(f326(f326(f80(a917),x53551),x53553),f326(f326(f80(a917),x53552),x53553))
% 225.13/225.11 [5433]~E(x54332,x54333)+~P109(x54331)+E(f302(x54331,x54332,x54333),f326(f326(f308(x54331),x54332),f188(f925(x54331,a913))))
% 225.13/225.11 [5474]~P113(x54741)+~E(f326(f75(x54741),x54742),f326(f75(x54741),x54743))+P105(f326(f326(f286(x54741),x54742),x54743))
% 225.13/225.11 [5482]~E(x54821,x54822)+~P108(x54823)+~P105(f326(f326(f235(x54823),x54821),x54822))
% 225.13/225.11 [5483]~E(x54831,x54832)+~P109(x54833)+~P105(f326(f326(f235(x54833),x54831),x54832))
% 225.13/225.11 [5496]~P109(x54961)+E(f326(f301(x54961,x54962),x54963),f188(f925(x54961,a913)))+P105(f326(f326(f235(x54961),x54962),x54963))
% 225.13/225.11 [5544]~P109(x55441)+E(f302(x55441,x55442,x55443),f188(f925(x55441,a913)))+P105(f326(f326(f234(x55441),x55442),x55443))
% 225.13/225.11 [5545]~P109(x55451)+E(f304(x55451,x55452,x55453),f188(f925(x55451,a913)))+P105(f326(f326(f235(x55451),x55452),x55453))
% 225.13/225.11 [5546]~P109(x55461)+E(f188(f925(x55461,a913)),f302(x55461,x55462,x55463))+P105(f326(f326(f234(x55461),x55462),x55463))
% 225.13/225.11 [5547]~P109(x55471)+E(f188(f925(x55471,a913)),f304(x55471,x55472,x55473))+P105(f326(f326(f235(x55471),x55472),x55473))
% 225.13/225.11 [5555]~P108(x55551)+~E(f326(f326(f238(x55551),x55552),x55553),x55552)+P105(f326(f326(f234(x55551),x55552),x55553))
% 225.13/225.11 [5556]~P108(x55561)+~E(f326(f326(f233(x55561),x55562),x55563),x55563)+P105(f326(f326(f234(x55561),x55562),x55563))
% 225.13/225.11 [5557]~P98(x55571)+~E(f326(f326(f101(x55571),x55572),x55573),x55573)+P105(f326(f326(f234(x55571),x55572),x55573))
% 225.13/225.11 [5558]~P102(x55581)+~E(f326(f326(f102(x55581),x55582),x55583),x55582)+P105(f326(f326(f234(x55581),x55582),x55583))
% 225.13/225.11 [5577]~P108(x55771)+P13(x55771,x55772)+~P13(x55771,f326(f326(f151(x55771),x55773),x55772))
% 225.13/225.11 [5578]~P108(x55781)+P13(x55781,x55782)+~P13(x55781,f326(f326(f134(x55781),x55783),x55782))
% 225.13/225.11 [5579]~P108(x55791)+P13(x55791,x55792)+~P13(x55791,f326(f326(f134(x55791),x55792),x55793))
% 225.13/225.11 [5644]~P108(x56441)+P105(f326(f326(f234(x56441),x56443),x56442))+P105(f326(f326(f234(x56441),x56442),x56443))
% 225.13/225.11 [5649]~P108(x56491)+P105(f326(f326(f235(x56491),x56493),x56492))+P105(f326(f326(f234(x56491),x56492),x56493))
% 225.13/225.11 [5687]~P108(x56871)+E(f326(f326(f238(x56871),x56872),x56873),x56873)+~P105(f326(f326(f234(x56871),x56873),x56872))
% 225.13/225.11 [5689]~P108(x56891)+E(f326(f326(f238(x56891),x56892),x56893),x56892)+~P105(f326(f326(f234(x56891),x56892),x56893))
% 225.13/225.11 [5690]~P108(x56901)+E(f326(f326(f233(x56901),x56902),x56903),x56902)+~P105(f326(f326(f234(x56901),x56903),x56902))
% 225.13/225.11 [5692]~P108(x56921)+E(f326(f326(f233(x56921),x56922),x56923),x56923)+~P105(f326(f326(f234(x56921),x56922),x56923))
% 225.13/225.11 [5693]~P98(x56931)+E(f326(f326(f101(x56931),x56932),x56933),x56932)+~P105(f326(f326(f234(x56931),x56933),x56932))
% 225.13/225.11 [5695]~P98(x56951)+E(f326(f326(f101(x56951),x56952),x56953),x56953)+~P105(f326(f326(f234(x56951),x56952),x56953))
% 225.13/225.11 [5696]~P102(x56961)+E(f326(f326(f102(x56961),x56962),x56963),x56963)+~P105(f326(f326(f234(x56961),x56963),x56962))
% 225.13/225.11 [5698]~P102(x56981)+E(f326(f326(f102(x56981),x56982),x56983),x56982)+~P105(f326(f326(f234(x56981),x56982),x56983))
% 225.13/225.11 [5705]~P124(x57052)+E(x57051,f2(x57052))+E(f326(f326(f290(x57052),f326(f78(x57052),x57053)),f326(f78(x57052),x57051)),f326(f326(f290(x57052),x57053),x57051))
% 225.13/225.11 [5757]~P109(x57571)+E(f326(f301(x57571,x57572),x57573),f188(f925(x57571,a913)))+~P105(f326(f326(f234(x57571),x57573),x57572))
% 225.13/225.11 [5790]~P109(x57901)+E(f305(x57901,x57902,x57903),f188(f925(x57901,a913)))+~P105(f326(f326(f234(x57901),x57903),x57902))
% 225.13/225.11 [5791]~P109(x57911)+E(f302(x57911,x57912,x57913),f188(f925(x57911,a913)))+~P105(f326(f326(f235(x57911),x57913),x57912))
% 225.13/225.11 [5792]~P109(x57921)+E(f304(x57921,x57922,x57923),f188(f925(x57921,a913)))+~P105(f326(f326(f234(x57921),x57923),x57922))
% 225.13/225.11 [5844]~E(f326(f326(f3(a917),x58441),x58443),x58442)+E(x58441,f326(f326(f79(a917),x58442),x58443))+~P105(f326(f326(f234(a917),x58443),x58441))
% 225.13/225.11 [5845]~E(x58451,f326(f326(f79(a917),x58453),x58452))+E(f326(f326(f3(a917),x58451),x58452),x58453)+~P105(f326(f326(f234(a917),x58452),x58451))
% 225.13/225.11 [5890]~P105(f326(x58901,x58903))+P105(f326(x58901,f376(x58901,x58902)))+~P105(f326(f326(f234(a917),x58903),x58902))
% 225.13/225.11 [5891]~P105(f326(x58911,x58913))+P105(f326(x58911,f381(x58911,x58912)))+~P105(f326(f326(f235(a917),x58913),x58912))
% 225.13/225.11 [5899]~P109(x58991)+~E(f326(f301(x58991,x58992),x58993),f188(f925(x58991,a913)))+~P105(f326(f326(f235(x58991),x58992),x58993))
% 225.13/225.11 [5904]~P106(x59041)+~P105(f326(f326(f235(x59041),x59042),x59043))+P105(f326(f326(f234(x59041),x59042),x59043))
% 225.13/225.11 [5906]~P109(x59061)+~P105(f326(f326(f235(x59061),x59062),x59063))+P105(f326(f326(f234(x59061),x59062),x59063))
% 225.13/225.11 [6021]~P109(x60211)+~E(f302(x60211,x60212,x60213),f188(f925(x60211,a913)))+~P105(f326(f326(f234(x60211),x60212),x60213))
% 225.13/225.11 [6022]~P109(x60221)+~E(f304(x60221,x60222,x60223),f188(f925(x60221,a913)))+~P105(f326(f326(f235(x60221),x60222),x60223))
% 225.13/225.11 [6023]~P109(x60231)+~E(f188(f925(x60231,a913)),f302(x60231,x60232,x60233))+~P105(f326(f326(f234(x60231),x60232),x60233))
% 225.13/225.11 [6024]~P109(x60241)+~E(f188(f925(x60241,a913)),f304(x60241,x60242,x60243))+~P105(f326(f326(f235(x60241),x60242),x60243))
% 225.13/225.11 [6034]P105(f326(x60341,x60342))+~P105(f326(x60341,f377(x60341,x60343)))+~P105(f326(f326(f234(a917),x60342),x60343))
% 225.13/225.11 [6035]P105(f326(x60351,x60352))+~P105(f326(x60351,f434(x60351,x60353)))+~P105(f326(f326(f235(a917),x60352),x60353))
% 225.13/225.11 [6043]~E(x60431,f326(a112,x60433))+P105(f326(f326(f235(a917),x60431),f326(a112,x60432)))+~P105(f326(f326(f235(a917),x60433),x60432))
% 225.13/225.11 [6062]E(x60621,x60622)+~E(f326(f326(f80(a917),x60623),x60621),f326(f326(f80(a917),x60623),x60622))+~P105(f326(f326(f235(a917),f2(a917)),x60623))
% 225.13/225.11 [6122]E(f326(x61221,f828(x61221,x61222,x61223)),f77(a917))+~E(f326(f326(f8(x61223,a917),x61221),x61222),f77(a917))+~P105(f326(f60(x61223),x61222))
% 225.13/225.11 [6139]~P5(x61391)+P105(f326(f326(f234(x61391),x61392),f36(x61391,x61393)))+~P105(f326(f326(f328(x61391),x61392),x61393))
% 225.13/225.11 [6162]~P106(x61621)+~P105(f326(f326(f235(x61621),x61623),x61622))+~P105(f326(f326(f234(x61621),x61622),x61623))
% 225.13/225.11 [6166]~P106(x61661)+~P105(f326(f326(f235(x61661),x61663),x61662))+~P105(f326(f326(f235(x61661),x61662),x61663))
% 225.13/225.11 [6169]~P108(x61691)+~P105(f326(f326(f235(x61691),x61693),x61692))+~P105(f326(f326(f234(x61691),x61692),x61693))
% 225.13/225.11 [6170]~P108(x61701)+~P105(f326(f326(f235(x61701),x61703),x61702))+~P105(f326(f326(f235(x61701),x61702),x61703))
% 225.13/225.11 [6171]~P109(x61711)+~P105(f326(f326(f235(x61711),x61713),x61712))+~P105(f326(f326(f235(x61711),x61712),x61713))
% 225.13/225.11 [6191]~E(x61912,x61913)+~E(x61911,x61912)+E(f289(a917,f286(a917),x61911,x61912),f326(f326(f308(a917),x61913),f188(f925(a917,a913))))
% 225.13/225.11 [6198]~E(f326(x61982,f816(x61982,x61983,x61981)),f2(a917))+E(f326(f326(f8(x61981,a917),x61982),x61983),f2(a917))+~P105(f326(f60(x61981),x61983))
% 225.13/225.11 [6199]~E(f326(x61992,f676(x61992,x61993,x61991)),f77(a917))+E(f326(f326(f11(x61991,a917),x61992),x61993),f77(a917))+~P105(f326(f60(x61991),x61993))
% 225.13/225.11 [6215]~P107(x62151)+~P105(f326(f326(f234(x62151),x62153),x62152))+P105(f326(f326(f328(x62151),x62152),f326(f282(x62151),x62153)))
% 225.13/225.11 [6216]~P107(x62161)+~P105(f326(f326(f235(x62161),x62163),x62162))+P105(f326(f326(f328(x62161),x62162),f326(f303(x62161),x62163)))
% 225.13/225.11 [6217]~P107(x62171)+~P105(f326(f326(f234(x62171),x62172),x62173))+P105(f326(f326(f328(x62171),x62172),f326(f300(x62171),x62173)))
% 225.13/225.11 [6218]~P107(x62181)+~P105(f326(f326(f235(x62181),x62182),x62183))+P105(f326(f326(f328(x62181),x62182),f326(f281(x62181),x62183)))
% 225.13/225.11 [6219]~P113(x62191)+~P105(f326(f326(f286(x62191),x62192),x62193))+P105(f326(f326(f286(x62191),x62192),f326(f75(x62191),x62193)))
% 225.13/225.11 [6231]E(f326(x62311,f829(x62311,x62312,x62313)),f326(a112,f2(a917)))+~E(f326(f326(f8(x62313,a917),x62311),x62312),f326(a112,f2(a917)))+~P105(f326(f60(x62313),x62312))
% 225.13/225.11 [6314]~P5(x63141)+~P105(f326(f326(f328(x63141),x63143),x63142))+P105(f326(f326(f234(x63141),f37(x63141,x63142)),x63143))
% 225.13/225.11 [6333]~P105(f326(f326(f234(a917),x63331),x63333))+P105(f326(f326(f234(a917),x63331),x63332))+~P105(f326(f326(f234(a917),x63333),x63332))
% 225.13/225.11 [6334]~P105(f326(f326(f234(a1),x63341),x63343))+P105(f326(f326(f234(a1),x63341),x63342))+~P105(f326(f326(f234(a1),x63343),x63342))
% 225.13/225.11 [6354]~P107(x63541)+~P105(f326(f326(f328(x63541),x63543),f326(f282(x63541),x63542)))+P105(f326(f326(f234(x63541),x63542),x63543))
% 225.13/225.11 [6355]~P107(x63551)+~P105(f326(f326(f328(x63551),x63552),f326(f300(x63551),x63553)))+P105(f326(f326(f234(x63551),x63552),x63553))
% 225.13/225.11 [6356]~P107(x63561)+~P105(f326(f326(f328(x63561),x63563),f326(f303(x63561),x63562)))+P105(f326(f326(f235(x63561),x63562),x63563))
% 225.13/225.11 [6357]~P107(x63571)+~P105(f326(f326(f328(x63571),x63572),f326(f281(x63571),x63573)))+P105(f326(f326(f235(x63571),x63572),x63573))
% 225.13/225.11 [6358]~P113(x63581)+~P105(f326(f326(f286(x63581),x63582),f326(f75(x63581),x63583)))+P105(f326(f326(f286(x63581),x63582),x63583))
% 225.13/225.11 [6432]~P105(f326(x64321,x64322))+P105(f326(x64321,f783(x64321)))+~P105(f326(f326(f328(x64323),x64322),f241(f925(x64323,a913))))
% 225.13/225.11 [6576]~P63(x65761)+P105(f326(f326(f235(x65761),f2(x65761)),f881(x65763,x65762,x65761)))+P105(f326(f326(f234(x65761),x65762),x65763))
% 225.13/225.11 [6577]~P64(x65771)+P105(f326(f326(f235(x65771),f2(x65771)),f887(x65773,x65772,x65771)))+P105(f326(f326(f234(x65771),x65772),x65773))
% 225.13/225.11 [6643]~P77(x66431)+~P105(f326(f326(f234(x66431),x66433),f326(f78(x66431),x66432)))+P105(f326(f326(f234(x66431),x66432),f326(f78(x66431),x66433)))
% 225.13/225.11 [6645]~P77(x66451)+~P105(f326(f326(f235(x66451),x66453),f326(f78(x66451),x66452)))+P105(f326(f326(f235(x66451),x66452),f326(f78(x66451),x66453)))
% 225.13/225.11 [6657]~P105(f326(f326(f235(a917),x66571),x66573))+~P105(f326(f326(f235(a917),x66573),x66572))+P105(f326(f326(f235(a917),f326(a112,x66571)),x66572))
% 225.13/225.11 [6685]~P112(x66851)+P105(f326(f326(f234(x66851),f326(f100(x66851),x66852)),f326(f100(x66851),x66853)))+~P105(f326(f326(f234(a917),x66852),x66853))
% 225.13/225.11 [6686]~P113(x66861)+P105(f326(f326(f234(x66861),f326(f103(x66861),x66862)),f326(f103(x66861),x66863)))+~P105(f326(f326(f234(a1),x66862),x66863))
% 225.13/225.11 [6688]~P113(x66881)+P105(f326(f326(f235(x66881),f326(f103(x66881),x66882)),f326(f103(x66881),x66883)))+~P105(f326(f326(f235(a1),x66882),x66883))
% 225.13/225.11 [6689]~P112(x66891)+P105(f326(f326(f235(x66891),f326(f100(x66891),x66892)),f326(f100(x66891),x66893)))+~P105(f326(f326(f235(a917),x66892),x66893))
% 225.13/225.11 [6695]~P108(x66951)+E(f326(f326(f101(f925(x66951,a913)),f326(f281(x66951),x66952)),f326(f301(x66951,x66952),x66953)),f326(f281(x66951),x66953))+~P105(f326(f326(f234(x66951),x66952),x66953))
% 225.13/225.11 [6725]~P77(x67251)+~P105(f326(f326(f234(x67251),x67253),x67252))+P105(f326(f326(f234(x67251),f326(f78(x67251),x67252)),f326(f78(x67251),x67253)))
% 225.13/225.11 [6727]~P94(x67271)+~P105(f326(f326(f234(x67271),x67273),x67272))+P105(f326(f326(f234(x67271),f326(f78(x67271),x67272)),f326(f78(x67271),x67273)))
% 225.13/225.11 [6728]~P77(x67281)+~P105(f326(f326(f235(x67281),x67283),x67282))+P105(f326(f326(f235(x67281),f326(f78(x67281),x67282)),f326(f78(x67281),x67283)))
% 225.13/225.11 [6763]~P108(x67631)+E(f326(f326(f101(f925(x67631,a913)),f326(f300(x67631),x67632)),f305(x67631,x67632,x67633)),f326(f281(x67631),x67633))+~P105(f326(f326(f235(x67631),x67632),x67633))
% 225.13/225.11 [6764]~P108(x67641)+E(f326(f326(f101(f925(x67641,a913)),f326(f300(x67641),x67642)),f304(x67641,x67642,x67643)),f326(f300(x67641),x67643))+~P105(f326(f326(f234(x67641),x67642),x67643))
% 225.13/225.11 [6765]~P108(x67651)+E(f326(f326(f101(f925(x67651,a913)),f326(f281(x67651),x67652)),f302(x67651,x67652,x67653)),f326(f300(x67651),x67653))+~P105(f326(f326(f234(x67651),x67652),x67653))
% 225.13/225.11 [6799]~P108(x67991)+E(f326(f326(f101(f925(x67991,a913)),f326(f301(x67991,x67992),x67993)),f326(f282(x67991),x67993)),f326(f282(x67991),x67992))+~P105(f326(f326(f234(x67991),x67992),x67993))
% 225.13/225.11 [6955]~P108(x69551)+E(f326(f326(f101(f925(x69551,a913)),f305(x69551,x69552,x69553)),f326(f282(x69551),x69553)),f326(f303(x69551),x69552))+~P105(f326(f326(f235(x69551),x69552),x69553))
% 225.13/225.11 [6956]~P108(x69561)+E(f326(f326(f101(f925(x69561,a913)),f302(x69561,x69562,x69563)),f326(f303(x69561),x69563)),f326(f282(x69561),x69562))+~P105(f326(f326(f234(x69561),x69562),x69563))
% 225.13/225.11 [6957]~P108(x69571)+E(f326(f326(f101(f925(x69571,a913)),f304(x69571,x69572,x69573)),f326(f303(x69571),x69573)),f326(f303(x69571),x69572))+~P105(f326(f326(f234(x69571),x69572),x69573))
% 225.13/225.11 [6976]P105(f326(x69761,x69762))+~P105(f326(f326(f234(a917),x69762),x69763))+P105(f326(f326(f328(a917),f377(x69761,x69763)),f302(a917,f2(a917),x69763)))
% 225.13/225.11 [7010]E(x70101,x70102)+~E(f326(f326(f164(x70103),x70101),f621(x70103,x70102,x70101)),f326(f326(f164(x70103),x70102),f621(x70103,x70102,x70101)))+~E(f326(f189(f918(x70103)),x70101),f326(f189(f918(x70103)),x70102))
% 225.13/225.11 [7015]~E(x70153,f326(f326(f35(a917),x70151),x70152))+~P105(f326(f326(f235(a917),f2(a917)),x70152))+P105(f326(f326(f235(a917),x70151),f326(f326(f80(a917),x70152),f326(a112,x70153))))
% 225.13/225.11 [7031]~P105(f326(x70311,x70313))+~P105(f326(f326(f234(a917),x70313),x70312))+P105(f326(f326(f328(a917),f376(x70311,x70312)),f302(a917,f2(a917),x70312)))
% 225.13/225.11 [7070]~P105(f326(x70701,x70703))+P105(f326(x70701,f384(x70701,x70702)))+~P105(f326(f326(f328(a917),x70703),f302(a917,f2(a917),x70702)))
% 225.13/225.11 [7089]~P112(x70893)+~P105(f326(f326(f234(x70893),f326(f100(x70893),x70891)),f326(f100(x70893),x70892)))+P105(f326(f326(f234(a917),x70891),x70892))
% 225.13/225.11 [7090]~P113(x70903)+~P105(f326(f326(f234(x70903),f326(f103(x70903),x70901)),f326(f103(x70903),x70902)))+P105(f326(f326(f234(a1),x70901),x70902))
% 225.13/225.11 [7092]~P112(x70923)+~P105(f326(f326(f235(x70923),f326(f100(x70923),x70921)),f326(f100(x70923),x70922)))+P105(f326(f326(f235(a917),x70921),x70922))
% 225.13/225.11 [7093]~P113(x70933)+~P105(f326(f326(f235(x70933),f326(f103(x70933),x70931)),f326(f103(x70933),x70932)))+P105(f326(f326(f235(a1),x70931),x70932))
% 225.13/225.11 [7109]~P112(x71091)+~P105(f326(f326(f235(x71091),f77(x71091)),x71092))+P105(f326(f326(f235(x71091),f77(x71091)),f326(f326(f243(x71091),x71092),f326(a112,x71093))))
% 225.13/225.11 [7112]~P77(x71121)+~P105(f326(f326(f234(x71121),f326(f78(x71121),x71123)),f326(f78(x71121),x71122)))+P105(f326(f326(f234(x71121),x71122),x71123))
% 225.13/225.11 [7113]~P94(x71131)+~P105(f326(f326(f234(x71131),f326(f78(x71131),x71133)),f326(f78(x71131),x71132)))+P105(f326(f326(f234(x71131),x71132),x71133))
% 225.13/225.11 [7114]~P77(x71141)+~P105(f326(f326(f235(x71141),f326(f78(x71141),x71143)),f326(f78(x71141),x71142)))+P105(f326(f326(f235(x71141),x71142),x71143))
% 225.13/225.11 [7138]P105(f326(x71381,x71382))+~P105(f326(x71381,f378(x71381,x71383)))+~P105(f326(f326(f328(a917),x71382),f302(a917,f2(a917),x71383)))
% 225.13/225.11 [7159]~P63(x71591)+P105(f326(f326(f235(x71591),f881(x71593,x71592,x71591)),f77(x71591)))+P105(f326(f326(f234(x71591),x71592),x71593))
% 225.13/225.11 [7178]~E(f44(a917,x71783,x71782),f44(a917,x71781,x71782))+E(f326(f326(f79(a917),x71781),f326(f326(f80(a917),x71782),f349(x71781,x71782,x71783))),x71783)+~P105(f326(f326(f234(a917),x71781),x71783))
% 225.13/225.11 [7233]E(f326(f326(f8(x72331,a917),x72332),x72333),f2(a917))+~P105(f326(f60(x72331),x72333))+P105(f326(f326(f328(x72331),f816(x72332,x72333,x72331)),x72333))
% 225.13/225.11 [7234]E(f326(f326(f11(x72341,a917),x72342),x72343),f77(a917))+~P105(f326(f60(x72341),x72343))+P105(f326(f326(f328(x72341),f676(x72342,x72343,x72341)),x72343))
% 225.13/225.11 [7256]~P109(x72561)+~P105(f326(f326(f234(x72561),x72562),x72563))+P105(f326(f326(f234(f925(x72561,a913)),f326(f300(x72561),x72562)),f326(f300(x72561),x72563)))
% 225.13/225.11 [7257]~P108(x72571)+~P105(f326(f326(f234(x72571),x72572),x72573))+P105(f326(f326(f234(f925(x72571,a913)),f326(f281(x72571),x72572)),f326(f281(x72571),x72573)))
% 225.13/225.11 [7258]~P109(x72581)+~P105(f326(f326(f234(x72581),x72583),x72582))+P105(f326(f326(f234(f925(x72581,a913)),f326(f282(x72581),x72582)),f326(f282(x72581),x72583)))
% 225.13/225.11 [7259]~P108(x72591)+~P105(f326(f326(f234(x72591),x72593),x72592))+P105(f326(f326(f234(f925(x72591,a913)),f326(f303(x72591),x72592)),f326(f303(x72591),x72593)))
% 225.13/225.11 [7260]~P108(x72601)+~P105(f326(f326(f235(x72601),x72602),x72603))+P105(f326(f326(f235(f925(x72601,a913)),f326(f281(x72601),x72602)),f326(f281(x72601),x72603)))
% 225.13/225.11 [7271]~P5(x72711)+P105(f326(f326(f234(x72711),x72712),f37(x72711,x72713)))+P105(f326(f326(f328(x72711),f463(x72713,x72712,x72711)),x72713))
% 225.13/225.11 [7277]~P77(x72771)+P105(f326(f326(f234(x72771),f326(f326(f3(x72771),x72772),x72773)),f2(x72771)))+~P105(f326(f326(f234(x72771),x72772),x72773))
% 225.13/225.11 [7278]~P77(x72781)+P105(f326(f326(f235(x72781),f326(f326(f3(x72781),x72782),x72783)),f2(x72781)))+~P105(f326(f326(f235(x72781),x72782),x72783))
% 225.13/225.11 [7320]P105(f326(x73201,x73202))+P105(f326(f326(f234(a917),f378(x73201,x73203)),x73203))+~P105(f326(f326(f328(a917),x73202),f302(a917,f2(a917),x73203)))
% 225.13/225.11 [7362]~E(f326(f326(f8(x73621,a917),x73622),x73623),f77(a917))+~P105(f326(f60(x73621),x73623))+P105(f326(f326(f328(x73621),f828(x73622,x73623,x73621)),x73623))
% 225.13/225.11 [7363]~P105(f326(x73631,x73633))+P105(f326(f326(f234(a917),f384(x73631,x73632)),x73632))+~P105(f326(f326(f328(a917),x73633),f302(a917,f2(a917),x73632)))
% 225.13/225.11 [7403]~P5(x74031)+P105(f326(f326(f328(x74031),f447(x74033,x74032,x74031)),x74032))+P105(f326(f326(f234(x74031),f36(x74031,x74032)),x74033))
% 225.13/225.11 [7437]~E(f326(f326(f8(x74371,a917),x74372),x74373),f326(a112,f2(a917)))+~P105(f326(f60(x74371),x74373))+P105(f326(f326(f328(x74371),f829(x74372,x74373,x74371)),x74373))
% 225.13/225.11 [7448]E(x74481,f2(a917))+P105(f326(x74482,f44(a917,x74483,x74481)))+P105(f326(f326(f235(a917),f343(x74481,x74483,x74482)),x74481))
% 225.13/225.11 [7561]~P105(f326(x75611,x75612))+P105(f326(x75611,f44(a917,x75612,x75613)))+P105(f326(f326(f235(a917),f343(x75613,x75612,x75611)),x75613))
% 225.13/225.11 [7675]E(x76751,f113(x76752))+~P105(f326(f326(f328(f918(x76752)),x76751),f161(x76752,x76753)))+P105(f326(f326(f328(x76752),f691(x76753,x76751,x76752)),x76753))
% 225.13/225.11 [7697]~P108(x76971)+E(f326(f326(f101(f925(x76971,a913)),f326(f326(f308(x76971),x76972),f188(f925(x76971,a913)))),f305(x76971,x76972,x76973)),f326(f301(x76971,x76972),x76973))+~P105(f326(f326(f235(x76971),x76972),x76973))
% 225.13/225.11 [7719]~P108(x77191)+E(f326(f326(f101(f925(x77191,a913)),f326(f326(f308(x77191),x77192),f188(f925(x77191,a913)))),f304(x77191,x77192,x77193)),f302(x77191,x77192,x77193))+~P105(f326(f326(f234(x77191),x77192),x77193))
% 225.13/225.11 [7829]~P108(x78291)+P105(f326(f326(f234(x78291),x78292),x78293))+~P105(f326(f326(f234(f925(x78291,a913)),f326(f303(x78291),x78293)),f326(f303(x78291),x78292)))
% 225.13/225.11 [7830]~P109(x78301)+P105(f326(f326(f234(x78301),x78302),x78303))+~P105(f326(f326(f234(f925(x78301,a913)),f326(f282(x78301),x78303)),f326(f282(x78301),x78302)))
% 225.13/225.11 [7831]~P108(x78311)+P105(f326(f326(f234(x78311),x78312),x78313))+~P105(f326(f326(f234(f925(x78311,a913)),f326(f281(x78311),x78312)),f326(f281(x78311),x78313)))
% 225.13/225.11 [7832]~P109(x78321)+P105(f326(f326(f234(x78321),x78322),x78323))+~P105(f326(f326(f234(f925(x78321,a913)),f326(f300(x78321),x78322)),f326(f300(x78321),x78323)))
% 225.13/225.11 [7833]~P108(x78331)+P105(f326(f326(f235(x78331),x78332),x78333))+~P105(f326(f326(f235(f925(x78331,a913)),f326(f281(x78331),x78332)),f326(f281(x78331),x78333)))
% 225.13/225.11 [7856]~P77(x78561)+~P105(f326(f326(f234(x78561),f326(f326(f3(x78561),x78562),x78563)),f2(x78561)))+P105(f326(f326(f234(x78561),x78562),x78563))
% 225.13/225.11 [7857]~P77(x78571)+~P105(f326(f326(f235(x78571),f326(f326(f3(x78571),x78572),x78573)),f2(x78571)))+P105(f326(f326(f235(x78571),x78572),x78573))
% 225.13/225.11 [8012]E(x80121,f2(a917))+~E(f326(f142(a917,a917,f79(a917),x80122),x80123),f2(a917))+~P105(f326(f326(f328(a917),x80121),f326(f172(a917),x80123)))
% 225.13/225.11 [8016]~P5(x80161)+~P105(f326(f326(f234(x80161),f447(x80163,x80162,x80161)),x80163))+P105(f326(f326(f234(x80161),f36(x80161,x80162)),x80163))
% 225.13/225.11 [8171]P105(f326(f326(f234(a1),f2(a1)),f909(x81711,x81712,x81713)))+P105(f326(f326(x81712,f326(f326(f35(a1),x81711),x81713)),f44(a1,x81711,x81713)))+~P105(f326(f326(f235(a1),f2(a1)),x81713))
% 225.13/225.11 [8259]E(x82591,x82592)+~E(f326(f189(f918(x82593)),x82591),f326(f189(f918(x82593)),x82592))+~P105(f326(f326(f256(x82593,x82593,a913),a323),f665(x82593,x82591,x82592)))
% 225.13/225.11 [8329]~P37(x83292,x83293)+E(x83291,f188(f925(x83292,a913)))+~P105(f326(f326(f234(f925(x83292,a913)),x83291),f326(f284(x83292,x83292,x83293),x83291)))
% 225.13/225.11 [8360]~P64(x83601)+~P105(f326(f326(f234(x83601),x83602),f326(f326(f79(x83601),x83603),f887(x83603,x83602,x83601))))+P105(f326(f326(f234(x83601),x83602),x83603))
% 225.13/225.11 [8395]P52(x83951,x83952,x83953)+P105(f326(f326(f328(x83951),f576(x83953,x83952,x83951)),x83952))+P105(f326(f326(f328(f924(x83951,x83951)),f577(x83953,x83952,x83951)),x83953))
% 225.13/225.11 [8416]P105(f326(f326(x84162,f326(f326(f35(a1),x84161),x84163)),f44(a1,x84161,x84163)))+~P105(f326(f326(f235(a1),f2(a1)),x84163))+P105(f326(f326(f235(a1),f909(x84161,x84162,x84163)),x84163))
% 225.13/225.11 [8440]E(f326(f309(a917,a917,f326(f326(f9(a917,a917,a917),f3(a917)),x84401)),f326(f301(a917,x84402),x84403)),f188(f925(a917,a913)))+P105(f326(f326(f235(a917),x84401),x84403))+P105(f326(f326(f235(a917),x84402),x84403))
% 225.13/225.11 [8550]E(f326(f309(a917,a917,f326(f326(f9(a917,a917,a917),f3(a917)),x85501)),f326(f301(a917,x85502),x85503)),f326(f326(f308(a917),f2(a917)),f188(f925(a917,a913))))+P105(f326(f326(f235(a917),x85501),x85503))+~P105(f326(f326(f235(a917),x85502),x85503))
% 225.13/225.11 [8564]~P108(x85641)+E(f149(x85641,x85641,f7(x85641),x85642,x85643),x85643)+~P105(f326(f326(f328(x85641),x85642),f326(f172(x85641),x85643)))
% 225.13/225.11 [8577]P25(x85771,x85771,x85772,x85773)+~P105(f326(f60(x85771),x85773))+~P105(f326(f326(f234(f925(x85771,a913)),x85773),f326(f309(x85771,x85771,x85772),x85773)))
% 225.13/225.11 [8603]E(f326(f326(f79(a1),f326(f326(f80(a1),x86031),f910(x86032,x86033,x86031))),f909(x86032,x86033,x86031)),x86032)+P105(f326(f326(x86033,f326(f326(f35(a1),x86032),x86031)),f44(a1,x86032,x86031)))+~P105(f326(f326(f235(a1),f2(a1)),x86031))
% 225.13/225.11 [8839]~P105(f326(f326(x88391,f910(x88392,x88391,x88393)),f909(x88392,x88391,x88393)))+P105(f326(f326(x88391,f326(f326(f35(a1),x88392),x88393)),f44(a1,x88392,x88393)))+~P105(f326(f326(f235(a1),f2(a1)),x88393))
% 225.13/225.11 [9731]~P105(f326(f60(x97311),x97312))+~P105(f326(f326(f328(x97311),x97313),x97312))+P105(f326(f326(f235(a917),f326(f34(x97311),f326(f326(f3(f925(x97311,a913)),x97312),f326(f326(f308(x97311),x97313),f188(f925(x97311,a913)))))),f326(f34(x97311),x97312)))
% 225.13/225.11 [10336]P52(x103361,x103362,x103363)+~P105(f326(f326(f256(x103361,x103361,a913),f326(f326(f9(x103361,f925(x103361,a913),f925(x103361,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x103361,a913),f925(x103361,a913)),x103361),f10(a913,a913,x103361)),f326(f326(f10(a913,f925(a913,a913),x103361),a324),f326(f326(f9(x103361,f925(x103361,a913),a913),f328(x103361)),x103362)))),f326(f326(f9(x103361,f925(x103361,a913),a913),f328(x103361)),x103362))),f577(x103363,x103362,x103361)))+P105(f326(f326(f328(x103361),f576(x103363,x103362,x103361)),x103362))
% 225.13/225.11 [5666]~P124(x56662)+E(x56661,f2(x56662))+E(f326(f326(f290(x56662),x56663),f326(f78(x56662),x56661)),f326(f78(x56662),f326(f326(f290(x56662),x56663),x56661)))
% 225.13/225.11 [5806]~E(x58063,f188(f925(x58061,a913)))+~E(x58062,f188(f925(x58061,a913)))+E(f326(f326(f101(f925(x58061,a913)),x58062),x58063),f188(f925(x58061,a913)))
% 225.13/225.11 [5864]~E(x58643,f2(a917))+~P105(f326(x58641,f2(a917)))+P105(f326(x58641,f326(f326(f35(a917),x58642),x58643)))
% 225.13/225.11 [6013]~P64(x60132)+E(x60131,f2(x60132))+E(f326(f326(f290(x60132),f326(f75(x60132),x60133)),f326(f75(x60132),x60131)),f326(f75(x60132),f326(f326(f290(x60132),x60133),x60131)))
% 225.13/225.11 [6132]~P3(x61321)+E(f326(f326(f80(x61321),x61322),f326(f326(f35(x61321),x61323),x61322)),x61323)+~P105(f326(f326(f286(x61321),x61322),x61323))
% 225.13/225.11 [6187]~P105(f326(f60(x61871),x61873))+E(f326(f34(x61871),f326(f326(f308(x61871),x61872),x61873)),f326(a112,f326(f34(x61871),x61873)))+P105(f326(f326(f328(x61871),x61872),x61873))
% 225.13/225.11 [6263]~E(x62632,f2(a917))+P105(f326(x62631,f2(a917)))+~P105(f326(x62631,f326(f326(f35(a917),x62633),x62632)))
% 225.13/225.11 [6280]~P105(f326(f60(x62801),x62803))+E(f326(f34(x62801),f326(f326(f308(x62801),x62802),x62803)),f326(f34(x62801),x62803))+~P105(f326(f326(f328(x62801),x62802),x62803))
% 225.13/225.11 [6316]~P105(f326(f60(x63161),x63163))+E(f326(f34(x63161),f326(f326(f308(x63161),x63162),x63163)),f326(f326(f79(a917),f77(a917)),f326(f34(x63161),x63163)))+P105(f326(f326(f328(x63161),x63162),x63163))
% 225.13/225.11 [6433]E(f326(f326(f79(a917),x64331),f830(x64331,x64332,x64333)),x64332)+~P105(f326(x64333,f2(a917)))+P105(f326(x64333,f326(f326(f3(a917),x64332),x64331)))
% 225.13/225.11 [6434]E(f326(f326(f79(a917),x64341),f831(x64341,x64342,x64343)),x64342)+~P105(f326(x64343,f2(a917)))+P105(f326(x64343,f326(f326(f3(a917),x64342),x64341)))
% 225.13/225.11 [6481]~P5(x64811)+~P105(f326(f60(x64811),x64813))+E(f326(f326(f63(x64811,x64811,f101(x64811)),x64812),x64813),f326(f326(f101(x64811),x64812),f36(x64811,x64813)))
% 225.13/225.11 [6482]~P5(x64821)+~P105(f326(f60(x64821),x64823))+E(f326(f326(f63(x64821,x64821,f102(x64821)),x64822),x64823),f326(f326(f102(x64821),x64822),f37(x64821,x64823)))
% 225.13/225.11 [6488]~P92(x64881)+~E(f326(f104(x64881),x64882),f326(f104(x64881),x64883))+P28(x64881,f326(f104(x64881),f326(f326(f79(a1),x64882),f326(f78(a1),x64883))))
% 225.13/225.11 [6497]~P141(x64971)+E(f326(f326(f3(x64971),f326(f100(x64971),x64972)),f326(f100(x64971),x64973)),f326(f100(x64971),f326(f326(f3(a917),x64972),x64973)))+~P105(f326(f326(f234(a917),x64973),x64972))
% 225.13/225.11 [6504]~P113(x65041)+~P105(f326(f326(f286(x65041),x65042),x65043))+P105(f326(f326(f286(x65041),f326(f75(x65041),x65042)),x65043))
% 225.13/225.11 [6587]E(f326(f326(f79(a917),x65871),f830(x65871,x65872,x65873)),x65872)+P105(f326(f326(f235(a917),x65872),x65871))+P105(f326(x65873,f326(f326(f3(a917),x65872),x65871)))
% 225.13/225.11 [6588]E(f326(f326(f79(a917),x65881),f831(x65881,x65882,x65883)),x65882)+P105(f326(f326(f235(a917),x65882),x65881))+P105(f326(x65883,f326(f326(f3(a917),x65882),x65881)))
% 225.13/225.11 [6602]~P113(x66021)+E(f326(f326(f80(x66021),f326(f75(x66021),x66022)),x66023),f326(f75(x66021),f326(f326(f80(x66021),x66022),x66023)))+~P105(f326(f326(f234(x66021),f2(x66021)),x66023))
% 225.13/225.11 [6603]~P63(x66031)+E(f326(f326(f290(x66031),f326(f75(x66031),x66032)),x66033),f326(f75(x66031),f326(f326(f290(x66031),x66032),x66033)))+~P105(f326(f326(f235(x66031),f2(x66031)),x66033))
% 225.13/225.11 [6611]~P108(x66111)+~P105(f326(f60(x66111),x66113))+E(f326(f326(f63(x66111,x66111,f233(x66111)),x66112),x66113),f16(x66111,f326(f326(f308(x66111),x66112),x66113)))
% 225.13/225.11 [6612]~P108(x66121)+~P105(f326(f60(x66121),x66123))+E(f326(f326(f63(x66121,x66121,f238(x66121)),x66122),x66123),f17(x66121,f326(f326(f308(x66121),x66122),x66123)))
% 225.13/225.11 [6613]~P99(x66131)+~P105(f326(f60(x66131),x66133))+E(f326(f326(f63(x66131,x66131,f101(x66131)),x66132),x66133),f12(x66131,f326(f326(f308(x66131),x66132),x66133)))
% 225.13/225.11 [6614]~P99(x66141)+~P105(f326(f60(x66141),x66143))+E(f326(f326(f63(x66141,x66141,f102(x66141)),x66142),x66143),f13(x66141,f326(f326(f308(x66141),x66142),x66143)))
% 225.13/225.11 [6659]E(x66591,f113(x66592))+~E(f179(x66592,x66593),f113(f918(x66592)))+~P105(f326(f326(f328(f918(x66592)),x66591),f326(f172(f918(x66592)),x66593)))
% 225.13/225.11 [6703]~P105(f326(f137(x67031),x67033))+P105(f326(f326(f328(x67031),x67032),f326(f172(x67031),x67033)))+P105(f326(f137(x67031),f326(f326(f151(x67031),x67032),x67033)))
% 225.13/225.11 [6714]~P95(x67141)+~P105(f326(f60(x67141),x67143))+E(f326(f62(x67141,f80(x67141)),f326(f326(f308(x67141),x67142),x67143)),f326(f326(f63(x67141,x67141,f80(x67141)),x67142),x67143))
% 225.13/225.11 [6736]~P108(x67361)+~P105(f326(f60(x67361),x67363))+E(f14(x67361,f238(x67361),f326(f326(f308(x67361),x67362),x67363)),f326(f326(f63(x67361,x67361,f238(x67361)),x67362),x67363))
% 225.13/225.11 [6737]~P108(x67371)+~P105(f326(f60(x67371),x67373))+E(f15(x67371,f233(x67371),f326(f326(f308(x67371),x67372),x67373)),f326(f326(f63(x67371,x67371,f233(x67371)),x67372),x67373))
% 225.13/225.11 [6739]P105(f326(x67391,f2(a917)))+~P105(f326(f326(f235(a917),x67392),x67393))+~P105(f326(x67391,f326(f326(f3(a917),x67392),x67393)))
% 225.13/225.11 [6760]~P84(x67601)+P105(f326(f326(f234(x67601),x67602),x67603))+~P105(f326(f326(f234(x67601),f326(f75(x67601),x67602)),x67603))
% 225.13/225.11 [6761]~P113(x67611)+P105(f326(f326(f235(x67611),x67612),x67613))+~P105(f326(f326(f235(x67611),f326(f75(x67611),x67612)),x67613))
% 225.13/225.11 [6762]~P113(x67621)+P105(f326(f326(f286(x67621),x67622),x67623))+~P105(f326(f326(f286(x67621),f326(f75(x67621),x67622)),x67623))
% 225.13/225.11 [6779]E(x67791,f113(x67792))+E(f326(f141(x67792),f326(f326(f138(x67792),x67793),x67791)),f326(f326(f164(x67792),x67791),x67793))+~P105(f326(f326(f235(a917),x67793),f326(f189(f918(x67792)),x67791)))
% 225.13/225.11 [6832]~P105(f326(x68321,x68323))+P105(f326(x68321,f435(x68321,x68322)))+~P105(f326(f326(f328(a917),x68323),f326(f301(a917,f2(a917)),x68322)))
% 225.13/225.11 [6852]P105(f326(x68521,x68522))+~P105(f326(f326(f235(a917),x68522),x68523))+P105(f326(f326(f328(a917),f434(x68521,x68523)),f326(f301(a917,f2(a917)),x68523)))
% 225.13/225.11 [6867]~P112(x68671)+~P105(f326(f326(f234(x68671),f77(x68671)),x68672))+P105(f326(f326(f234(x68671),f77(x68671)),f326(f326(f243(x68671),x68672),x68673)))
% 225.13/225.11 [6869]~P112(x68691)+~P105(f326(f326(f234(x68691),f2(x68691)),x68692))+P105(f326(f326(f234(x68691),f2(x68691)),f326(f326(f243(x68691),x68692),x68693)))
% 225.13/225.11 [6871]~P112(x68711)+~P105(f326(f326(f235(x68711),f2(x68711)),x68712))+P105(f326(f326(f235(x68711),f2(x68711)),f326(f326(f243(x68711),x68712),x68713)))
% 225.13/225.11 [6897]~P105(f326(x68971,x68973))+~P105(f326(f326(f235(a917),x68973),x68972))+P105(f326(f326(f328(a917),f381(x68971,x68972)),f326(f301(a917,f2(a917)),x68972)))
% 225.13/225.11 [6905]P105(f326(f60(x69051),x69052))+~P105(f326(f60(x69051),x69053))+~P105(f326(f326(f234(f925(x69051,a913)),x69052),x69053))
% 225.13/225.11 [6912]P105(f326(x69121,x69122))+~P105(f326(x69121,f436(x69121,x69123)))+~P105(f326(f326(f328(a917),x69122),f326(f301(a917,f2(a917)),x69123)))
% 225.13/225.11 [6925]E(x69251,f2(a917))+P105(f326(x69252,f347(x69251,x69253,x69252)))+~P105(f326(x69252,f326(f326(f35(a917),x69253),x69251)))
% 225.13/225.11 [6932]~P127(x69322)+E(x69321,f2(x69322))+~E(f326(f326(f79(x69322),f326(f326(f80(x69322),x69323),x69323)),f326(f326(f80(x69322),x69321),x69321)),f2(x69322))
% 225.13/225.11 [6933]~P127(x69332)+E(x69331,f2(x69332))+~E(f326(f326(f79(x69332),f326(f326(f80(x69332),x69331),x69331)),f326(f326(f80(x69332),x69333),x69333)),f2(x69332))
% 225.13/225.11 [6977]E(x69771,f2(a917))+~P105(f326(x69772,f340(x69771,x69773,x69772)))+P105(f326(x69772,f326(f326(f35(a917),x69773),x69771)))
% 225.13/225.11 [6982]~P108(x69821)+~P13(x69821,x69823)+P13(x69821,f326(f326(f148(x69821,x69821,f7(x69821)),x69822),x69823))
% 225.13/225.11 [7024]P105(f326(x70241,f347(x70242,x70243,x70241)))+P105(f326(x70241,f2(a917)))+~P105(f326(x70241,f326(f326(f35(a917),x70243),x70242)))
% 225.13/225.11 [7030]~P92(x70301)+E(f326(f104(x70301),x70302),f326(f104(x70301),x70303))+~P28(x70301,f326(f104(x70301),f326(f326(f79(a1),x70302),f326(f78(a1),x70303))))
% 225.13/225.11 [7096]E(x70961,f2(a1))+E(x70962,f2(a1))+~P105(f326(f48(x70962,x70962),f326(f326(f251(a1,a1),x70963),x70961)))
% 225.13/225.11 [7097]E(x70971,f77(a1))+E(x70972,f2(a1))+~P105(f326(f48(x70972,x70972),f326(f326(f251(a1,a1),x70971),x70973)))
% 225.13/225.11 [7111]P105(f326(x71111,x71112))+P105(f326(f326(f235(a917),f436(x71111,x71113)),x71113))+~P105(f326(f326(f328(a917),x71112),f326(f301(a917,f2(a917)),x71113)))
% 225.13/225.11 [7134]~P105(f326(x71341,f830(x71343,x71342,x71341)))+~P105(f326(x71341,f2(a917)))+P105(f326(x71341,f326(f326(f3(a917),x71342),x71343)))
% 225.13/225.11 [7135]~P105(f326(x71351,f831(x71353,x71352,x71351)))+~P105(f326(x71351,f2(a917)))+P105(f326(x71351,f326(f326(f3(a917),x71352),x71353)))
% 225.13/225.11 [7136]~P105(f326(x71361,f340(x71363,x71362,x71361)))+~P105(f326(x71361,f2(a917)))+P105(f326(x71361,f326(f326(f35(a917),x71362),x71363)))
% 225.13/225.11 [7155]~P105(f326(x71551,x71553))+P105(f326(f326(f235(a917),f435(x71551,x71552)),x71552))+~P105(f326(f326(f328(a917),x71553),f326(f301(a917,f2(a917)),x71552)))
% 225.13/225.11 [7156]E(f326(f326(f3(a917),f326(f326(f3(a917),x71561),x71562)),f326(f326(f3(a917),x71563),x71562)),f326(f326(f3(a917),x71561),x71563))+~P105(f326(f326(f234(a917),x71562),x71561))+~P105(f326(f326(f234(a917),x71562),x71563))
% 225.13/225.11 [7191]~P77(x71911)+~P105(f326(f326(f234(x71911),f326(f78(x71911),x71913)),x71912))+P105(f326(f326(f234(x71911),f326(f78(x71911),x71912)),x71913))
% 225.13/225.11 [7193]~P84(x71931)+~P105(f326(f326(f234(x71931),f326(f75(x71931),x71932)),x71933))+P105(f326(f326(f234(x71931),f326(f78(x71931),x71932)),x71933))
% 225.13/225.11 [7195]~P77(x71951)+~P105(f326(f326(f235(x71951),f326(f78(x71951),x71953)),x71952))+P105(f326(f326(f235(x71951),f326(f78(x71951),x71952)),x71953))
% 225.13/225.11 [7196]~P113(x71961)+~P105(f326(f326(f235(x71961),f326(f75(x71961),x71962)),x71963))+P105(f326(f326(f235(x71961),f326(f78(x71961),x71962)),x71963))
% 225.13/225.11 [7228]~P105(f326(x72283,f830(x72282,x72281,x72283)))+P105(f326(f326(f235(a917),x72281),x72282))+P105(f326(x72283,f326(f326(f3(a917),x72281),x72282)))
% 225.13/225.11 [7229]~P105(f326(x72293,f831(x72292,x72291,x72293)))+P105(f326(f326(f235(a917),x72291),x72292))+P105(f326(x72293,f326(f326(f3(a917),x72291),x72292)))
% 225.13/225.11 [7281]~E(f464(x72813,x72812,x72811),f465(x72813,x72812,x72811))+E(f326(f326(f102(f925(x72811,a913)),x72812),f36(f925(x72811,a913),x72813)),f188(f925(x72811,a913)))+P105(f326(f326(f328(f925(x72811,a913)),x72812),x72813))
% 225.13/225.11 [7289]~P105(f326(f60(x72891),x72893))+P105(f326(f60(x72891),f37(f925(x72891,a913),x72892)))+~P105(f326(f326(f328(f925(x72891,a913)),x72893),x72892))
% 225.13/225.11 [7349]~P108(x73491)+E(f326(f326(f101(f925(x73491,a913)),f326(f301(x73491,x73492),x73493)),f326(f326(f308(x73491),x73493),f188(f925(x73491,a913)))),f302(x73491,x73492,x73493))+~P105(f326(f326(f234(x73491),x73492),x73493))
% 225.13/225.11 [7352]E(x73521,f2(a917))+P105(f326(f326(f235(a917),f341(x73521,x73523,x73522)),x73521))+P105(f326(x73522,f326(f326(f35(a917),x73523),x73521)))
% 225.13/225.11 [7381]P105(f326(f326(f235(a917),f326(f189(f918(x73811)),x73812)),f785(x73813,x73811)))+~P105(f326(f60(f918(x73811)),x73813))+~P105(f326(f326(f328(f918(x73811)),x73812),x73813))
% 225.13/225.11 [7387]E(x73871,x73872)+~P105(f326(f326(f234(f925(x73873,a913)),x73871),x73872))+P105(f326(f326(f235(f925(x73873,a913)),x73871),x73872))
% 225.13/225.11 [7400]E(x74001,x74002)+~E(f326(f189(f918(x74003)),x74001),f326(f189(f918(x74003)),x74002))+P105(f326(f326(f235(a917),f621(x74003,x74001,x74002)),f326(f189(f918(x74003)),x74002)))
% 225.13/225.11 [7449]P8(x74491,x74492,x74493)+~E(f326(f263(x74491,x74491),x74493),x74492)+~E(f326(f326(f288(x74491,x74491,x74491),f326(f285(x74491,x74491),x74493)),x74493),x74493)
% 225.13/225.11 [7530]~P105(f326(x75301,f2(a917)))+P105(f326(f326(f235(a917),f341(x75303,x75302,x75301)),x75303))+P105(f326(x75301,f326(f326(f35(a917),x75302),x75303)))
% 225.13/225.11 [7540]~P108(x75401)+E(f326(f326(f101(f925(x75401,a913)),f305(x75401,x75402,x75403)),f326(f326(f308(x75401),x75403),f188(f925(x75401,a913)))),f304(x75401,x75402,x75403))+~P105(f326(f326(f235(x75401),x75402),x75403))
% 225.13/225.11 [7632]~P105(f326(f60(x76321),x76323))+P105(f326(f326(f234(a917),f326(f34(x76321),x76322)),f326(f34(x76321),x76323)))+~P105(f326(f326(f234(f925(x76321,a913)),x76322),x76323))
% 225.13/225.11 [7633]~P105(f326(f60(x76331),x76333))+P105(f326(f326(f235(a917),f326(f34(x76331),x76332)),f326(f34(x76331),x76333)))+~P105(f326(f326(f235(f925(x76331,a913)),x76332),x76333))
% 225.13/225.11 [7764]E(x77641,x77642)+~P105(f326(f326(f234(f925(x77643,a913)),x77642),x77641))+~P105(f326(f326(f234(f925(x77643,a913)),x77641),x77642))
% 225.13/225.11 [7767]~P108(x77671)+P13(x77671,x77672)+~P13(x77671,f326(f326(f148(x77671,x77671,f7(x77671)),x77673),x77672))
% 225.13/225.11 [7838]~P105(f326(f326(f235(a917),x78383),x78382))+~P105(f326(f326(f235(a917),x78383),x78381))+P105(f326(f326(f235(a917),f326(f326(f3(a917),x78381),x78382)),f326(f326(f3(a917),x78381),x78383)))
% 225.13/225.11 [7839]~P105(f326(f326(f234(a917),x78392),x78391))+~P105(f326(f326(f235(a917),x78391),x78393))+P105(f326(f326(f235(a917),f326(f326(f3(a917),x78391),x78392)),f326(f326(f3(a917),x78393),x78392)))
% 225.13/225.11 [7854]~P105(f326(f326(f235(a1),x78542),f2(a1)))+~P105(f326(f326(f234(a1),x78543),x78541))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x78541),x78542)),f326(f326(f35(a1),x78543),x78542)))
% 225.13/225.11 [7871]~P105(f326(f326(f235(a917),f2(a917)),x78713))+~P105(f326(f326(f234(a917),x78713),x78712))+P105(f326(f326(f234(a917),f326(f326(f35(a917),x78711),x78712)),f326(f326(f35(a917),x78711),x78713)))
% 225.13/225.11 [7872]~P105(f326(f326(f235(a1),f2(a1)),x78722))+~P105(f326(f326(f234(a1),x78721),x78723))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x78721),x78722)),f326(f326(f35(a1),x78723),x78722)))
% 225.13/225.11 [7876]~P105(f326(f326(f235(a917),f2(a917)),x78762))+~P105(f326(f326(f235(a917),x78761),x78763))+P105(f326(f326(f235(a917),f326(f326(f80(a917),x78761),x78762)),f326(f326(f80(a917),x78763),x78762)))
% 225.13/225.11 [7877]~P105(f326(f326(f235(a917),f2(a917)),x78771))+~P105(f326(f326(f235(a917),x78772),x78773))+P105(f326(f326(f235(a917),f326(f326(f80(a917),x78771),x78772)),f326(f326(f80(a917),x78771),x78773)))
% 225.13/225.11 [7878]~P105(f326(f326(f235(a1),f2(a1)),x78781))+~P105(f326(f326(f235(a1),x78782),x78783))+P105(f326(f326(f235(a1),f326(f326(f80(a1),x78781),x78782)),f326(f326(f80(a1),x78781),x78783)))
% 225.13/225.11 [7927]E(x79271,f2(a917))+E(f326(f326(f79(a917),f326(f326(f80(a917),x79271),f340(x79271,x79272,x79273))),f341(x79271,x79272,x79273)),x79272)+P105(f326(x79273,f326(f326(f35(a917),x79272),x79271)))
% 225.13/225.11 [7986]E(f326(f326(f79(a917),f326(f326(f80(a917),x79861),f340(x79861,x79862,x79863))),f341(x79861,x79862,x79863)),x79862)+~P105(f326(x79863,f2(a917)))+P105(f326(x79863,f326(f326(f35(a917),x79862),x79861)))
% 225.13/225.11 [8003]~P105(f326(f60(x80031),x80033))+P105(f326(f326(f328(x80031),f869(x80032,x80033,x80031)),x80033))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f11(x80031,a917),x80032),x80033)))
% 225.13/225.11 [8004]~P105(f326(f60(x80041),x80043))+P105(f326(f326(f328(x80041),f885(x80042,x80043,x80041)),x80043))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f11(x80041,a917),x80042),x80043)))
% 225.13/225.11 [8104]E(x81041,f2(a917))+P105(f326(f326(f286(a917),x81042),x81043))+~P105(f326(f326(f286(a917),f326(f326(f80(a917),x81041),x81042)),f326(f326(f80(a917),x81041),x81043)))
% 225.13/225.11 [8294]E(x82941,f188(f925(x82942,a913)))+E(x82941,f326(f326(f308(x82942),x82943),f188(f925(x82942,a913))))+~P105(f326(f326(f234(f925(x82942,a913)),x82941),f326(f326(f308(x82942),x82943),f188(f925(x82942,a913)))))
% 225.13/225.11 [8330]~P105(f326(f326(f235(a917),f77(a917)),x83303))+P105(f326(f326(f234(a917),x83301),x83302))+~P105(f326(f326(f286(a917),f326(f326(f243(a917),x83303),x83301)),f326(f326(f243(a917),x83303),x83302)))
% 225.13/225.11 [8332]~P105(f326(f326(f235(a917),f2(a917)),x83323))+P105(f326(f326(f234(a917),x83321),x83322))+~P105(f326(f326(f234(a917),f326(f326(f80(a917),x83323),x83321)),f326(f326(f80(a917),x83323),x83322)))
% 225.13/225.11 [8333]~P105(f326(f326(f235(a917),f2(a917)),x83333))+P105(f326(f326(f234(a917),x83331),x83332))+~P105(f326(f326(f234(a917),f326(f326(f80(a917),x83331),x83333)),f326(f326(f80(a917),x83332),x83333)))
% 225.13/225.11 [8335]~P105(f326(f326(f235(a917),f2(a917)),x83353))+P105(f326(f326(f235(a917),x83351),x83352))+~P105(f326(f326(f235(a917),f326(f326(f243(a917),x83353),x83351)),f326(f326(f243(a917),x83353),x83352)))
% 225.13/225.11 [8337]~P105(f326(f326(f235(a917),f2(a917)),x83373))+P105(f326(f326(f286(a917),x83371),x83372))+~P105(f326(f326(f286(a917),f326(f326(f80(a917),x83373),x83371)),f326(f326(f80(a917),x83373),x83372)))
% 225.13/225.11 [8376]~E(f326(f326(f102(f925(x83761,a913)),f465(x83763,x83762,x83761)),f464(x83763,x83762,x83761)),f188(f925(x83761,a913)))+E(f326(f326(f102(f925(x83761,a913)),x83762),f36(f925(x83761,a913),x83763)),f188(f925(x83761,a913)))+P105(f326(f326(f328(f925(x83761,a913)),x83762),x83763))
% 225.13/225.11 [8390]E(x83901,f113(x83902))+~E(f326(f142(f918(x83902),f918(x83902),f134(x83902),f113(x83902)),x83903),f113(x83902))+~P105(f326(f326(f328(f918(x83902)),x83901),f326(f172(f918(x83902)),x83903)))
% 225.13/225.11 [8445]E(x84451,f188(f925(f925(x84452,a913),a913)))+P105(f326(f326(f328(f925(x84452,a913)),f536(x84453,x84451,x84452)),x84451))+P105(f326(f326(f234(f925(x84452,a913)),f37(f925(x84452,a913),x84451)),x84453))
% 225.13/225.11 [8451]~P69(x84511)+~P70(x84511)+E(f326(f326(f8(a1,x84511),f326(f326(f10(a917,x84511,a1),x84512),a105)),f326(f309(a917,a1,f100(a1)),x84513)),f326(f326(f8(a917,x84511),x84512),x84513))
% 225.13/225.11 [8452]~P69(x84521)+~P70(x84521)+E(f326(f326(f11(a1,x84521),f326(f326(f10(a917,x84521,a1),x84522),a105)),f326(f309(a917,a1,f100(a1)),x84523)),f326(f326(f11(a917,x84521),x84522),x84523))
% 225.13/225.11 [8494]~P105(f326(f60(x84941),x84943))+~P105(f326(f326(f235(a917),f2(a917)),f326(x84942,f869(x84942,x84943,x84941))))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f11(x84941,a917),x84942),x84943)))
% 225.13/225.11 [8495]~P105(f326(f60(x84951),x84953))+~P105(f326(f326(f235(a917),f2(a917)),f326(x84952,f885(x84952,x84953,x84951))))+P105(f326(f326(f235(a917),f2(a917)),f326(f326(f11(x84951,a917),x84952),x84953)))
% 225.13/225.11 [8531]~P62(x85312)+E(x85311,f77(x85312))+E(f326(f326(f290(x85312),f326(f326(f3(x85312),f326(f326(f243(x85312),x85311),x85313)),f77(x85312))),f326(f326(f3(x85312),x85311),f77(x85312))),f326(f326(f8(a917,x85312),f326(f243(x85312),x85311)),f326(f301(a917,f2(a917)),x85313)))
% 225.13/225.11 [8588]E(x85881,f2(a917))+~P105(f326(x85883,f326(f326(f35(a917),x85882),x85881)))+P105(f326(f326(f235(a917),x85882),f326(f326(f80(a917),x85881),f326(a112,f347(x85881,x85882,x85883)))))
% 225.13/225.11 [8606]P105(f326(x86061,f2(a917)))+~P105(f326(x86061,f326(f326(f35(a917),x86062),x86063)))+P105(f326(f326(f235(a917),x86062),f326(f326(f80(a917),x86063),f326(a112,f347(x86063,x86062,x86061)))))
% 225.13/225.11 [8644]E(x86441,f2(a917))+~P105(f326(x86443,f326(f326(f35(a917),x86442),x86441)))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x86441),f347(x86441,x86442,x86443))),x86442))
% 225.13/225.11 [8675]P105(f326(x86751,f2(a917)))+~P105(f326(x86751,f326(f326(f35(a917),x86753),x86752)))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x86752),f347(x86752,x86753,x86751))),x86753))
% 225.13/225.11 [8683]~P108(x86831)+E(f326(f326(f148(x86831,x86831,f7(x86831)),x86832),x86833),f149(x86831,x86831,f7(x86831),x86832,x86833))+P105(f326(f326(f328(x86831),x86832),f326(f172(x86831),x86833)))
% 225.13/225.11 [8718]~E(f326(x87183,f586(x87182,x87183,x87181)),f326(x87183,f589(x87182,x87183,x87181)))+~P59(x87181,f326(x87183,f587(x87182,x87183,x87181)))+P59(x87181,f326(f326(f38(x87182,f925(x87181,f925(x87181,a913))),f241(f925(x87182,a913))),x87183))
% 225.13/225.11 [8727]E(x87271,f188(f925(f925(x87272,a913),a913)))+~P105(f326(f326(f234(f925(x87272,a913)),f536(x87273,x87271,x87272)),x87273))+P105(f326(f326(f234(f925(x87272,a913)),f37(f925(x87272,a913),x87271)),x87273))
% 225.13/225.11 [8787]~P64(x87871)+~P105(f326(f326(f235(x87871),x87872),x87873))+P105(f326(f326(f235(x87871),x87872),f326(f326(f290(x87871),f326(f326(f79(x87871),x87872),x87873)),f326(f326(f79(x87871),f77(x87871)),f77(x87871)))))
% 225.13/225.11 [8845]~P105(f326(f326(x88451,f388(x88451,x88453,x88452)),f389(x88451,x88453,x88452)))+P105(f326(f326(x88451,x88452),x88453))+~P105(f326(f314(f924(a1,a1),a51),f326(f326(f251(a1,a1),x88452),x88453)))
% 225.13/225.11 [8846]~P105(f326(f326(x88461,f394(x88461,x88463,x88462)),f395(x88461,x88463,x88462)))+P105(f326(f326(x88461,x88462),x88463))+~P105(f326(f314(f924(a1,a1),a57),f326(f326(f251(a1,a1),x88462),x88463)))
% 225.13/225.11 [8847]~P105(f326(f326(x88471,f404(x88471,x88473,x88472)),f411(x88471,x88473,x88472)))+P105(f326(f326(x88471,x88472),x88473))+~P105(f326(f314(f924(a917,a917),a219),f326(f326(f251(a917,a917),x88472),x88473)))
% 225.13/225.11 [8848]~P105(f326(f326(x88481,f473(x88481,x88483,x88482)),f481(x88481,x88483,x88482)))+P105(f326(f326(x88481,x88482),x88483))+~P105(f326(f314(f924(a1,a1),a221),f326(f326(f251(a1,a1),x88482),x88483)))
% 225.13/225.11 [8849]~P105(f326(f326(x88491,f677(x88491,x88493,x88492)),f678(x88491,x88493,x88492)))+P105(f326(f326(x88491,x88492),x88493))+~P105(f326(f314(f924(a1,a1),a182),f326(f326(f251(a1,a1),x88492),x88493)))
% 225.13/225.11 [8850]~P105(f326(f326(x88501,f772(x88501,x88503,x88502)),f773(x88501,x88503,x88502)))+P105(f326(f326(x88501,x88502),x88503))+~P105(f326(f314(f924(a1,a1),a133),f326(f326(f251(a1,a1),x88502),x88503)))
% 225.13/225.11 [9123]P105(f326(f326(x91231,x91232),x91233))+P105(f326(f314(f924(a917,a917),a219),f326(f326(f251(a917,a917),f404(x91231,x91233,x91232)),f411(x91231,x91233,x91232))))+~P105(f326(f314(f924(a917,a917),a219),f326(f326(f251(a917,a917),x91232),x91233)))
% 225.13/225.11 [9124]P105(f326(f326(x91241,x91242),x91243))+P105(f326(f314(f924(a1,a1),a51),f326(f326(f251(a1,a1),f388(x91241,x91243,x91242)),f389(x91241,x91243,x91242))))+~P105(f326(f314(f924(a1,a1),a51),f326(f326(f251(a1,a1),x91242),x91243)))
% 225.13/225.11 [9125]P105(f326(f326(x91251,x91252),x91253))+P105(f326(f314(f924(a1,a1),a57),f326(f326(f251(a1,a1),f394(x91251,x91253,x91252)),f395(x91251,x91253,x91252))))+~P105(f326(f314(f924(a1,a1),a57),f326(f326(f251(a1,a1),x91252),x91253)))
% 225.13/225.11 [9126]P105(f326(f326(x91261,x91262),x91263))+P105(f326(f314(f924(a1,a1),a221),f326(f326(f251(a1,a1),f473(x91261,x91263,x91262)),f481(x91261,x91263,x91262))))+~P105(f326(f314(f924(a1,a1),a221),f326(f326(f251(a1,a1),x91262),x91263)))
% 225.13/225.11 [9127]P105(f326(f326(x91271,x91272),x91273))+P105(f326(f314(f924(a1,a1),a182),f326(f326(f251(a1,a1),f677(x91271,x91273,x91272)),f678(x91271,x91273,x91272))))+~P105(f326(f314(f924(a1,a1),a182),f326(f326(f251(a1,a1),x91272),x91273)))
% 225.13/225.11 [9128]P105(f326(f326(x91281,x91282),x91283))+P105(f326(f314(f924(a1,a1),a133),f326(f326(f251(a1,a1),f772(x91281,x91283,x91282)),f773(x91281,x91283,x91282))))+~P105(f326(f314(f924(a1,a1),a133),f326(f326(f251(a1,a1),x91282),x91283)))
% 225.13/225.11 [9461]~P105(f326(f60(x94611),x94613))+P105(f326(f326(f328(f924(f925(x94611,a913),f925(x94611,a913))),f326(f326(f251(f925(x94611,a913),f925(x94611,a913)),x94612),x94613)),f313(x94611)))+~P105(f326(f326(f235(f925(x94611,a913)),x94612),x94613))
% 225.13/225.11 [9536]~P59(x95361,f326(x95363,f587(x95362,x95363,x95361)))+P59(x95361,f326(f326(f38(x95362,f925(x95361,f925(x95361,a913))),f241(f925(x95362,a913))),x95363))+~E(f326(f326(f102(f925(x95361,a913)),f248(x95361,x95361,f326(x95363,f586(x95362,x95363,x95361)))),f249(x95361,x95361,f326(x95363,f589(x95362,x95363,x95361)))),f188(f925(x95361,a913)))
% 225.13/225.11 [9744]P52(x97441,x97442,x97443)+P105(f326(f326(f328(f924(x97441,x97441)),f577(x97443,x97442,x97441)),x97443))+~P105(f326(f326(f328(f924(x97441,x97441)),f326(f326(f251(x97441,x97441),f576(x97443,x97442,x97441)),f576(x97443,x97442,x97441))),x97443))
% 225.13/225.11 [10339]P52(x103391,x103392,x103393)+~P105(f326(f326(f256(x103391,x103391,a913),f326(f326(f9(x103391,f925(x103391,a913),f925(x103391,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x103391,a913),f925(x103391,a913)),x103391),f10(a913,a913,x103391)),f326(f326(f10(a913,f925(a913,a913),x103391),a324),f326(f326(f9(x103391,f925(x103391,a913),a913),f328(x103391)),x103392)))),f326(f326(f9(x103391,f925(x103391,a913),a913),f328(x103391)),x103392))),f577(x103393,x103392,x103391)))+~P105(f326(f326(f328(f924(x103391,x103391)),f326(f326(f251(x103391,x103391),f576(x103393,x103392,x103391)),f576(x103393,x103392,x103391))),x103393))
% 225.13/225.11 [5846]~P3(x58462)+E(x58461,f2(x58462))+E(f326(f326(f35(x58462),f326(f326(f80(x58462),x58463),x58461)),x58461),x58463)
% 225.13/225.11 [5847]~P3(x58472)+E(x58471,f2(x58472))+E(f326(f326(f35(x58472),f326(f326(f80(x58472),x58471),x58473)),x58471),x58473)
% 225.13/225.11 [6498]~P3(x64981)+E(f326(f326(f80(x64981),f326(f326(f35(x64981),x64982),x64983)),x64983),x64982)+~P105(f326(f326(f286(x64981),x64983),x64982))
% 225.13/225.11 [6658]~P70(x66581)+~E(f326(x66582,f2(a917)),f2(x66581))+E(f326(f326(f8(a917,x66581),x66582),f326(f301(a917,f326(a112,f2(a917))),x66583)),f326(f326(f8(a917,x66581),x66582),f326(f301(a917,f2(a917)),x66583)))
% 225.13/225.11 [6792]~P3(x67922)+E(x67921,f2(x67922))+E(f326(f326(f35(x67922),f326(f326(f79(x67922),x67923),x67921)),x67921),f326(f326(f79(x67922),f326(f326(f35(x67922),x67923),x67921)),f77(x67922)))
% 225.13/225.11 [6793]~P3(x67932)+E(x67931,f2(x67932))+E(f326(f326(f35(x67932),f326(f326(f79(x67932),x67931),x67933)),x67931),f326(f326(f79(x67932),f326(f326(f35(x67932),x67933),x67931)),f77(x67932)))
% 225.13/225.11 [7013]~P105(f326(x70133,f2(a1)))+P105(f326(f326(f234(a917),x70131),x70132))+P105(f326(x70133,f326(f100(a1),f326(f326(f3(a917),x70132),x70131))))
% 225.13/225.11 [7117]P105(f326(f326(f235(a917),x71172),x71171))+P105(f326(f326(f234(a917),x71171),x71172))+P105(f326(x71173,f326(f100(a1),f326(f326(f3(a917),x71172),x71171))))
% 225.13/225.11 [7189]E(f326(f326(f79(a917),f326(f104(a917),x71891)),f326(f326(f79(a917),f326(f104(a917),x71892)),x71893)),f326(f326(f79(a917),f326(f104(a917),x71891)),x71893))+P105(f326(a193,f326(f104(a1),x71891)))+~P105(f326(a193,f326(f104(a1),x71892)))
% 225.13/225.11 [7268]~E(x72682,f326(f326(f35(a917),x72683),x72681))+~P105(f326(f326(f235(a917),f2(a917)),x72681))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x72681),x72682)),x72683))
% 225.13/225.11 [7385]~P105(f326(f60(x73851),x73853))+~P105(f326(f60(x73851),x73852))+P105(f326(f60(x73851),f326(f326(f101(f925(x73851,a913)),x73852),x73853)))
% 225.13/225.11 [7434]~P38(x74341,x74343)+~P38(x74341,x74342)+P38(x74341,f326(f326(f102(f925(f924(x74341,x74341),a913)),x74342),x74343))
% 225.13/225.11 [7435]~P51(x74351,x74353)+~P51(x74351,x74352)+P51(x74351,f326(f326(f101(f925(f924(x74351,x74351),a913)),x74352),x74353))
% 225.13/225.11 [7436]~P51(x74361,x74363)+~P51(x74361,x74362)+P51(x74361,f326(f326(f102(f925(f924(x74361,x74361),a913)),x74362),x74363))
% 225.13/225.11 [7681]~P108(x76811)+~P105(f326(f60(x76811),x76812))+E(f139(x76811,f326(f326(f3(f925(x76811,a913)),x76812),f326(f326(f308(x76811),x76813),f188(f925(x76811,a913))))),f170(x76811,x76813,f139(x76811,x76812)))
% 225.13/225.11 [7743]P105(f326(x77431,f2(a1)))+~P105(f326(f326(f235(a917),x77432),x77433))+~P105(f326(x77431,f326(f100(a1),f326(f326(f3(a917),x77432),x77433))))
% 225.13/225.11 [7761]~P105(f326(f60(x77611),x77612))+E(f326(f34(x77611),f326(f326(f3(f925(x77611,a913)),x77612),f326(f326(f308(x77611),x77613),f188(f925(x77611,a913))))),f326(f34(x77611),x77612))+P105(f326(f326(f328(x77611),x77613),x77612))
% 225.13/225.11 [7894]~P112(x78941)+~P105(f326(f326(f235(x78941),f77(x78941)),x78942))+P105(f326(f326(f235(x78941),f77(x78941)),f326(f326(f80(x78941),x78942),f326(f326(f243(x78941),x78942),x78943))))
% 225.13/225.11 [7937]~P105(f326(f60(x79371),x79373))+E(f326(f326(f3(a917),f326(f34(x79371),x79372)),f326(f34(x79371),x79373)),f326(f34(x79371),f326(f326(f3(f925(x79371,a913)),x79372),x79373)))+~P105(f326(f326(f234(f925(x79371,a913)),x79373),x79372))
% 225.13/225.11 [7994]~P105(f326(f326(f234(a917),x79942),x79943))+~P105(f326(f326(f234(a917),x79941),f326(f326(f3(a917),x79943),x79942)))+P105(f326(f326(f234(a917),f326(f326(f79(a917),x79941),x79942)),x79943))
% 225.13/225.11 [8047]P105(f326(f60(x80471),x80472))+~P105(f326(f60(x80471),x80473))+~P105(f326(f60(x80471),f326(f326(f3(f925(x80471,a913)),x80472),x80473)))
% 225.13/225.11 [8053]~P105(f326(f60(x80531),x80532))+E(f326(f34(x80531),f326(f326(f3(f925(x80531,a913)),x80532),f326(f326(f308(x80531),x80533),f188(f925(x80531,a913))))),f326(f326(f3(a917),f326(f34(x80531),x80532)),f77(a917)))+~P105(f326(f326(f328(x80531),x80533),x80532))
% 225.13/225.11 [8129]P59(x81291,x81292)+~P59(x81291,x81293)+~P105(f326(f326(f234(f925(x81291,f925(x81291,a913))),x81292),x81293))
% 225.13/225.11 [8170]~P105(f326(f326(f234(a917),x81703),x81702))+P105(f326(f326(f234(a917),x81701),f326(f326(f3(a917),x81702),x81703)))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),x81701),x81703)),x81702))
% 225.13/225.11 [8188]P37(x81881,x81882)+~P37(x81881,x81883)+~P105(f326(f326(f234(f925(f924(x81881,x81881),a913)),x81882),x81883))
% 225.13/225.11 [8189]P57(x81891,x81892)+~P57(x81891,x81893)+~P105(f326(f326(f234(f925(f924(x81891,x81891),a913)),x81892),x81893))
% 225.13/225.11 [8190]P39(x81901,x81902)+~P39(x81901,x81903)+~P105(f326(f326(f234(f925(f924(x81901,x81901),a913)),x81902),x81903))
% 225.13/225.11 [8423]~P112(x84231)+~P105(f326(f326(f235(x84231),f77(x84231)),x84232))+P105(f326(f326(f235(x84231),f326(f326(f243(x84231),x84232),x84233)),f326(f326(f80(x84231),x84232),f326(f326(f243(x84231),x84232),x84233))))
% 225.13/225.11 [8513]~P105(f326(x85131,f2(a1)))+~P105(f326(x85131,f326(f326(f3(a1),f326(f100(a1),x85132)),f326(f100(a1),x85133))))+P105(f326(x85131,f326(f100(a1),f326(f326(f3(a917),x85132),x85133))))
% 225.13/225.11 [8528]~P105(f326(f326(f234(a917),x85283),x85282))+P105(f326(x85281,f326(f326(f3(a1),f326(f100(a1),x85282)),f326(f100(a1),x85283))))+~P105(f326(x85281,f326(f100(a1),f326(f326(f3(a917),x85282),x85283))))
% 225.13/225.11 [8547]P105(f326(f326(f235(a917),x85471),x85472))+~P105(f326(x85473,f326(f326(f3(a1),f326(f100(a1),x85471)),f326(f100(a1),x85472))))+P105(f326(x85473,f326(f100(a1),f326(f326(f3(a917),x85471),x85472))))
% 225.13/225.11 [8600]~P127(x86002)+E(x86001,f2(x86002))+P105(f326(f326(f235(x86002),f2(x86002)),f326(f326(f79(x86002),f326(f326(f80(x86002),x86003),x86003)),f326(f326(f80(x86002),x86001),x86001))))
% 225.13/225.11 [8601]~P127(x86012)+E(x86011,f2(x86012))+P105(f326(f326(f235(x86012),f2(x86012)),f326(f326(f79(x86012),f326(f326(f80(x86012),x86011),x86011)),f326(f326(f80(x86012),x86013),x86013))))
% 225.13/225.11 [8700]~P105(f326(f326(f235(a917),f2(a917)),x87001))+~P105(f326(f326(f235(a1),x87002),x87003))+P105(f326(f326(f235(a1),f326(f326(f80(a1),f326(f100(a1),x87001)),x87002)),f326(f326(f80(a1),f326(f100(a1),x87001)),x87003)))
% 225.13/225.11 [8756]E(f326(f326(f102(f925(x87561,a913)),x87562),f36(f925(x87561,a913),x87563)),f188(f925(x87561,a913)))+P105(f326(f326(f328(f925(x87561,a913)),x87562),x87563))+P105(f326(f326(f328(f925(x87561,a913)),f465(x87563,x87562,x87561)),f326(f326(f308(f925(x87561,a913)),x87562),x87563)))
% 225.13/225.11 [8757]E(f326(f326(f102(f925(x87571,a913)),x87572),f36(f925(x87571,a913),x87573)),f188(f925(x87571,a913)))+P105(f326(f326(f328(f925(x87571,a913)),x87572),x87573))+P105(f326(f326(f328(f925(x87571,a913)),f464(x87573,x87572,x87571)),f326(f326(f308(f925(x87571,a913)),x87572),x87573)))
% 225.13/225.11 [8786]E(x87861,x87862)+~E(f326(f189(f918(x87863)),x87861),f326(f189(f918(x87863)),x87862))+P105(f326(f326(f328(f924(x87863,x87863)),f665(x87863,x87861,x87862)),f326(f172(f924(x87863,x87863)),f326(f326(f181(x87863,x87863),x87862),x87861))))
% 225.13/225.11 [9036]E(f306(x90361,x90362),f306(x90361,x90363))+~P105(f326(f326(f234(f925(f924(x90361,x90361),a913)),x90363),f306(x90361,x90362)))+~P105(f326(f326(f234(f925(f924(x90361,x90361),a913)),x90362),x90363))
% 225.13/225.11 [9103]~P52(x91031,f241(f925(x91031,a913)),x91033)+P105(f326(f326(f234(f925(f924(f918(x91031),f918(x91031)),a913)),f157(x91031,x91032)),f158(x91031,x91033)))+~P105(f326(f326(f234(f925(f924(x91031,x91031),a913)),x91032),x91033))
% 225.13/225.11 [9298]P37(x92981,x92982)+~P105(f326(f326(f328(x92981),x92983),f602(x92982,x92981)))+P105(f326(f326(f328(f924(x92981,x92981)),f326(f326(f251(x92981,x92981),f613(x92982,x92981,x92983)),x92983)),x92982))
% 225.13/225.11 [9333]~P105(f326(f60(x93331),x93332))+P105(f326(f60(f925(x93331,a913)),f326(f326(f59(x93331),x93332),x93333)))+~P105(f326(f326(f234(f925(f924(x93331,x93331),a913)),x93333),f326(f326(f253(x93331,x93331),x93332),f326(f18(f925(x93331,a913),x93331),x93332))))
% 225.13/225.11 [9369]P52(x93691,x93692,x93693)+P105(f326(f326(f328(x93691),f545(x93693,x93692,x93691)),x93692))+~P105(f326(f326(f234(f925(f924(x93691,x93691),a913)),x93693),f326(f326(f253(x93691,x93691),x93692),f326(f18(f925(x93691,a913),x93691),x93692))))
% 225.13/225.11 [9370]P52(x93701,x93702,x93703)+P105(f326(f326(f328(x93701),f559(x93702,x93703,x93701)),x93702))+~P105(f326(f326(f234(f925(f924(x93701,x93701),a913)),x93703),f326(f326(f253(x93701,x93701),x93702),f326(f18(f925(x93701,a913),x93701),x93702))))
% 225.13/225.11 [9404]~P64(x94041)+~P105(f326(f326(f235(x94041),x94042),x94043))+P105(f326(f326(f235(x94041),f326(f326(f290(x94041),f326(f326(f79(x94041),x94042),x94043)),f326(f326(f79(x94041),f77(x94041)),f77(x94041)))),x94043))
% 225.13/225.11 [9434]~P63(x94341)+P105(f326(f326(f234(x94341),x94342),x94343))+~P105(f326(f326(f234(x94341),f326(f326(f80(x94341),f881(x94343,x94342,x94341)),x94342)),x94343))
% 225.13/225.11 [9571]E(f326(f189(f918(f918(x95711))),f326(f136(f918(x95711),f326(f326(f10(a917,a913,f918(x95711)),f326(f235(a917),x95712)),f189(f918(x95711)))),f179(x95711,x95713))),f326(f189(f918(x95711)),f326(f326(f164(f918(x95711)),x95713),x95712)))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x95711),a917),f189(f918(x95711))),x95713)))+~P105(f326(f326(f235(a917),x95712),f326(f189(f918(f918(x95711))),x95713)))
% 225.13/225.11 [9692]~P37(x96921,x96922)+P27(x96921,f326(f326(f251(f925(f924(x96921,x96921),a913),f925(f924(x96921,x96921),a913)),x96922),x96923))+~P105(f326(f326(f234(f925(f924(x96921,x96921),a913)),f326(f326(f288(x96921,x96921,x96921),x96922),x96923)),x96922))
% 225.13/225.11 [9697]E(f326(f326(f154(f918(x96971),x96971),f326(f326(f9(f918(x96971),a917,x96971),f164(x96971)),x96972)),f326(f136(f918(x96971),f326(f326(f10(a917,a913,f918(x96971)),f326(f235(a917),x96972)),f189(f918(x96971)))),f179(x96971,x96973))),f326(f326(f164(f918(x96971)),x96973),x96972))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x96971),a917),f189(f918(x96971))),x96973)))+~P105(f326(f326(f235(a917),x96972),f326(f189(f918(f918(x96971))),x96973)))
% 225.13/225.11 [9832]P52(x98321,x98322,x98323)+~P105(f326(f326(f328(f924(x98321,x98321)),f326(f326(f251(x98321,x98321),f545(x98323,x98322,x98321)),f545(x98323,x98322,x98321))),x98323))+~P105(f326(f326(f234(f925(f924(x98321,x98321),a913)),x98323),f326(f326(f253(x98321,x98321),x98322),f326(f18(f925(x98321,a913),x98321),x98322))))
% 225.13/225.11 [9833]P52(x98331,x98332,x98333)+~P105(f326(f326(f328(f924(x98331,x98331)),f326(f326(f251(x98331,x98331),f559(x98332,x98333,x98331)),f559(x98332,x98333,x98331))),x98333))+~P105(f326(f326(f234(f925(f924(x98331,x98331),a913)),x98333),f326(f326(f253(x98331,x98331),x98332),f326(f18(f925(x98331,a913),x98331),x98332))))
% 225.13/225.11 [10002]~P141(x100021)+~P126(x100021)+E(f326(f326(f290(x100021),f326(f103(x100021),f326(f326(f72(f924(a1,a1),a1,x100022,f250(a1,a1)),f212(x100022)),x100023))),f326(f103(x100021),f326(f326(f72(f924(a1,a1),a1,x100022,f255(a1,a1)),f212(x100022)),x100023))),f222(x100022,x100021,x100023))
% 225.13/225.11 [10208]~E(x102083,f2(a917))+~E(f326(f189(f918(x102081)),f326(f326(f164(f918(x102081)),x102082),f713(x102083,x102081,x102082))),x102083)+E(f326(f326(f154(a917,f918(x102081)),f326(f326(f9(a917,f918(a917),f918(x102081)),f326(f326(f10(f925(a917,x102081),f925(f918(a917),f918(x102081)),a917),f154(a917,x102081)),f326(f9(a917,a917,x102081),f326(f326(f10(f918(x102081),f925(a917,x102081),a917),f164(x102081)),f326(f164(f918(x102081)),x102082))))),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(f918(x102081))),x102082))))),f139(a917,f326(f301(a917,f2(a917)),x102083))),f179(x102081,x102082))
% 225.13/225.11 [10209]E(x102091,f113(f918(x102092)))+~E(f326(f189(f918(x102092)),f326(f326(f164(f918(x102092)),x102091),f713(x102093,x102092,x102091))),x102093)+E(f326(f326(f154(a917,f918(x102092)),f326(f326(f9(a917,f918(a917),f918(x102092)),f326(f326(f10(f925(a917,x102092),f925(f918(a917),f918(x102092)),a917),f154(a917,x102092)),f326(f9(a917,a917,x102092),f326(f326(f10(f918(x102092),f925(a917,x102092),a917),f164(x102092)),f326(f164(f918(x102092)),x102091))))),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(f918(x102092))),x102091))))),f139(a917,f326(f301(a917,f2(a917)),x102093))),f179(x102092,x102091))
% 225.13/225.11 [10210]~E(x102103,f2(a917))+E(f326(f326(f154(a917,f918(x102101)),f326(f326(f9(a917,f918(a917),f918(x102101)),f326(f326(f10(f925(a917,x102101),f925(f918(a917),f918(x102101)),a917),f154(a917,x102101)),f326(f9(a917,a917,x102101),f326(f326(f10(f918(x102101),f925(a917,x102101),a917),f164(x102101)),f326(f164(f918(x102101)),x102102))))),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(f918(x102101))),x102102))))),f139(a917,f326(f301(a917,f2(a917)),x102103))),f179(x102101,x102102))+P105(f326(f326(f235(a917),f713(x102103,x102101,x102102)),f326(f189(f918(f918(x102101))),x102102)))
% 225.13/225.11 [10211]E(x102111,f113(f918(x102112)))+E(f326(f326(f154(a917,f918(x102112)),f326(f326(f9(a917,f918(a917),f918(x102112)),f326(f326(f10(f925(a917,x102112),f925(f918(a917),f918(x102112)),a917),f154(a917,x102112)),f326(f9(a917,a917,x102112),f326(f326(f10(f918(x102112),f925(a917,x102112),a917),f164(x102112)),f326(f164(f918(x102112)),x102111))))),f139(a917,f326(f301(a917,f2(a917)),f326(f189(f918(f918(x102112))),x102111))))),f139(a917,f326(f301(a917,f2(a917)),x102113))),f179(x102112,x102111))+P105(f326(f326(f235(a917),f713(x102113,x102112,x102111)),f326(f189(f918(f918(x102112))),x102111)))
% 225.13/225.11 [7934]E(f326(f326(f79(a917),f326(f104(a917),x79341)),f326(f326(f79(a917),f326(f104(a917),x79342)),x79343)),f326(f326(f79(a917),f326(f104(a917),f326(f326(f79(a1),x79341),x79342))),x79343))+P105(f326(a193,f326(f104(a1),x79341)))+P105(f326(a193,f326(f104(a1),x79342)))
% 225.13/225.11 [8692]~P105(f326(f60(x86921),x86922))+~P105(f326(f326(f328(x86921),x86923),x86922))+E(f326(a112,f326(f34(x86921),f326(f326(f3(f925(x86921,a913)),x86922),f326(f326(f308(x86921),x86923),f188(f925(x86921,a913)))))),f326(f34(x86921),x86922))
% 225.13/225.11 [8708]~P105(f326(f60(x87081),x87082))+~P105(f326(f326(f328(x87081),x87083),x87082))+E(f326(f326(f79(a917),f77(a917)),f326(f34(x87081),f326(f326(f3(f925(x87081,a913)),x87082),f326(f326(f308(x87081),x87083),f188(f925(x87081,a913)))))),f326(f34(x87081),x87082))
% 225.13/225.11 [8795]~P108(x87951)+~P105(f326(f60(x87951),x87953))+E(f326(f326(f148(x87951,x87951,f7(x87951)),x87952),f139(x87951,f326(f326(f3(f925(x87951,a913)),x87953),f326(f326(f308(x87951),x87952),f188(f925(x87951,a913)))))),f139(x87951,f326(f326(f308(x87951),x87952),x87953)))
% 225.13/225.11 [8961]~P105(f326(f60(x89611),x89613))+~P105(f326(f60(x89611),x89612))+E(f326(f326(f79(a917),f326(f34(x89611),f326(f326(f101(f925(x89611,a913)),x89612),x89613))),f326(f34(x89611),f326(f326(f102(f925(x89611,a913)),x89612),x89613))),f326(f326(f79(a917),f326(f34(x89611),x89612)),f326(f34(x89611),x89613)))
% 225.13/225.11 [10156]~P25(x101561,f925(f925(x101561,a913),a913),f326(f326(f9(x101561,f925(f924(x101561,x101561),a913),f925(f925(x101561,a913),a913)),f326(f326(f10(f925(x101561,a913),f925(f925(f924(x101561,x101561),a913),f925(f925(x101561,a913),a913)),x101561),f59(x101561)),f326(f326(f9(x101561,f925(x101561,a913),f925(x101561,a913)),f308(x101561)),f188(f925(x101561,a913))))),x101563),x101562)+~P105(f326(f60(x101561),x101562))+E(f326(f34(f925(x101561,a913)),f326(f326(f59(x101561),x101562),x101563)),f326(f34(x101561),x101562))
% 225.13/225.11 [8202]~P92(x82021)+P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x82023)))+E(f326(f326(f243(x82021),x82022),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x82023),x82023)),a97))),f77(x82021))
% 225.13/225.11 [9674]~P92(x96741)+~P105(f326(f326(f234(a1),f2(a1)),f326(f104(a1),x96743)))+E(f326(f326(f243(x96741),x96742),f326(f104(a917),f326(f326(f3(a1),f326(f326(f79(a1),x96743),x96743)),a97))),f326(f326(f85(x96741,x96741),f326(f326(f243(x96741),x96742),f326(f104(a917),x96743))),f326(f326(f20(x96741,x96741,x96741),f326(f326(f10(x96741,f925(x96741,x96741),x96741),f80(x96741)),f326(f80(x96741),x96742))),f7(x96741))))
% 225.13/225.11 [10065]~P105(f326(f137(x100651),x100653))+~P105(f326(f326(f328(x100651),x100652),f326(f172(x100651),x100653)))+E(f326(f326(f138(x100651),f326(f189(f918(x100651)),f177(x100651,f326(f326(f10(a913,a913,x100651),a321),f326(f326(f9(x100651,x100651,a913),a323),x100652)),f326(f168(x100651),x100653)))),f326(f168(x100651),x100653)),f326(f326(f151(x100651),x100652),f326(f168(x100651),f177(x100651,f326(f326(f10(a913,a913,x100651),a321),f326(f326(f9(x100651,x100651,a913),a323),x100652)),x100653))))
% 225.13/225.11 [10126]P105(f326(f326(f234(f925(f924(x101261,x101261),a913)),f306(x101261,x101262)),x101263))+~P105(f326(f326(f234(f925(f924(x101261,x101261),a913)),f306(x101261,f188(f925(f924(x101261,x101261),a913)))),x101263))+~P105(f326(f326(f234(f925(f924(x101261,x101261),a913)),f326(f326(f288(x101261,x101261,x101261),f326(f326(f102(f925(f924(x101261,x101261),a913)),f306(x101261,x101262)),x101263)),x101262)),x101263))
% 225.13/225.11 [9982]~P105(f326(f60(x99821),f326(f261(x99821),x99823)))+~P105(f326(f60(x99821),f326(f261(x99821),x99822)))+P105(f326(f60(x99821),f326(f261(x99821),f326(f326(f20(x99821,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99821),a325),x99822)),x99823))))
% 225.13/225.11 [10274]P105(f326(f326(f234(f925(f924(x102741,x102741),a913)),f326(f326(f288(x102741,x102741,x102741),x102742),f306(x102741,x102742))),x102743))+~P105(f326(f326(f234(f925(f924(x102741,x102741),a913)),x102742),x102743))+~P105(f326(f326(f234(f925(f924(x102741,x102741),a913)),f326(f326(f288(x102741,x102741,x102741),f326(f326(f102(f925(f924(x102741,x102741),a913)),f326(f326(f288(x102741,x102741,x102741),x102742),f306(x102741,x102742))),x102743)),x102742)),x102743))
% 225.13/225.11 [10224]~P113(x102242)+E(x102241,f2(x102242))+~E(f326(f326(f79(x102242),f326(f326(f243(x102242),x102243),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102242),x102241),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102242))
% 225.13/225.11 [10225]~P113(x102252)+E(x102251,f2(x102252))+~E(f326(f326(f79(x102252),f326(f326(f243(x102252),x102251),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102252),x102253),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102252))
% 225.13/225.11 [10230]~P105(f326(f137(x102301),x102303))+~P105(f326(f326(f328(x102301),x102302),f326(f172(x102301),x102303)))+E(f326(f168(x102301),f326(f171(x102301),f326(f326(f138(x102301),f326(f189(f918(x102301)),f177(x102301,f326(f326(f10(a913,a913,x102301),a321),f326(f326(f9(x102301,x102301,a913),a323),x102302)),x102303))),x102303))),f177(x102301,f326(f326(f10(a913,a913,x102301),a321),f326(f326(f9(x102301,x102301,a913),a323),x102302)),f326(f168(x102301),x102303)))
% 225.13/225.11 [10321]~P113(x103212)+E(x103211,f2(x103212))+P105(f326(f326(f235(x103212),f2(x103212)),f326(f326(f79(x103212),f326(f326(f243(x103212),x103213),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103212),x103211),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 225.13/225.11 [10322]~P113(x103222)+E(x103221,f2(x103222))+P105(f326(f326(f235(x103222),f2(x103222)),f326(f326(f79(x103222),f326(f326(f243(x103222),x103221),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103222),x103223),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 225.13/225.11 [10377]~P113(x103771)+P105(f326(f326(f234(x103771),f2(x103771)),x103772))+~P105(f326(f326(f234(x103771),f2(x103771)),f326(f326(f243(x103771),x103772),f326(a112,f326(f326(f80(a917),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103773)))))
% 225.13/225.11 [5679]~P24(x56791,x56794,x56793)+P24(x56791,x56792,x56793)+~P24(x56791,x56792,x56794)
% 225.13/225.11 [5144]~E(x51442,f89(x51443,x51441))+P105(f326(x51441,x51442))+~P105(f326(x51441,x51444))
% 225.13/225.11 [5388]E(f67(x53883,x53882,x53884),x53882)+E(x53881,f739(x53882,x53883,x53884))+~P105(f326(x53884,x53881))
% 225.13/225.11 [6715]E(f67(x67151,x67152,x67153),f84(x67151,x67153))+~E(f775(x67152,x67151,x67153,x67154),x67154)+~P105(f326(x67153,x67154))
% 225.13/225.11 [6926]~P37(x69262,x69264)+~P37(x69261,x69263)+P37(f924(x69261,x69262),f318(x69261,x69262,x69263,x69264))
% 225.13/225.11 [6927]~P38(x69272,x69274)+~P38(x69271,x69273)+P38(f924(x69271,x69272),f318(x69271,x69272,x69273,x69274))
% 225.13/225.11 [5328]~P7(x53284,x53281)+~E(f326(x53281,x53282),f326(x53281,x53283))+P105(f326(f326(x53281,x53282),x53283))
% 225.13/225.11 [5493]~P7(x54934,x54931)+E(f326(x54931,x54932),f326(x54931,x54933))+~P105(f326(f326(x54931,x54932),x54933))
% 225.13/225.11 [5494]~P15(x54944,x54941)+E(f326(x54941,x54942),f326(x54941,x54943))+~P105(f326(f326(x54941,x54942),x54943))
% 225.13/225.11 [5586]~P18(x55863,x55864,x55861)+E(f326(x55861,x55862),f326(f62(x55863,x55864),x55862))+~P105(f326(f60(x55863),x55862))
% 225.13/225.11 [5587]~P9(x55873,x55874,x55871)+E(f326(x55871,x55872),f326(f62(x55873,x55874),x55872))+~P105(f326(f60(x55873),x55872))
% 225.13/225.11 [5712]~P7(x57124,x57121)+~P105(f326(f326(x57121,x57123),x57122))+P105(f326(f326(x57121,x57122),x57123))
% 225.13/225.11 [5713]~P50(x57134,x57131)+~P105(f326(f326(x57131,x57133),x57132))+P105(f326(f326(x57131,x57132),x57133))
% 225.13/225.11 [5714]~P15(x57144,x57141)+~P105(f326(f326(x57141,x57143),x57142))+P105(f326(f326(x57141,x57142),x57143))
% 225.13/225.11 [5715]~P15(x57153,x57151)+P105(f326(f326(x57151,x57152),x57152))+~P105(f326(f326(x57151,x57154),x57152))
% 225.13/225.11 [5716]~P15(x57163,x57161)+P105(f326(f326(x57161,x57162),x57162))+~P105(f326(f326(x57161,x57162),x57164))
% 225.13/225.11 [5787]E(x57871,x57872)+~E(f326(f250(x57873,x57874),x57871),f326(f250(x57873,x57874),x57872))+~E(f326(f255(x57873,x57874),x57871),f326(f255(x57873,x57874),x57872))
% 225.13/225.11 [5815]E(x58151,x58152)+~P105(f326(f47(x58153,x58154),x58152))+~P105(f326(f47(x58153,x58154),x58151))
% 225.13/225.11 [6012]~P70(x60122)+E(f231(x60121,x60122,x60123,x60124),f2(x60122))+P105(f326(f60(x60121),x60124))
% 225.13/225.11 [6060]~P7(x60603,x60602)+~P105(f326(x60601,x60604))+P105(f326(x60601,f820(x60601,x60602,x60603)))
% 225.13/225.11 [6157]~P105(f326(f314(x61571,x61572),x61574))+P105(f326(f314(x61571,x61572),x61573))+~P105(f326(f326(x61572,x61573),x61574))
% 225.13/225.11 [6960]~P29(x69601,x69603,x69604)+P105(f326(x69601,x69602))+~P105(f326(f326(f328(a1),x69602),f302(a1,x69603,x69604)))
% 225.13/225.11 [7152]~P7(x71521,x71523)+~P105(f326(x71522,x71524))+P105(f326(f326(f328(x71521),f820(x71522,x71523,x71521)),f269(x71521,x71523)))
% 225.13/225.11 [8042]E(x80421,f2(a917))+~P105(f326(x80422,x80423))+P105(f326(x80422,f770(x80422,x80423,x80421,x80424)))
% 225.13/225.11 [8124]~P108(x81242)+~P105(f326(f137(x81241),x81244))+P105(f326(f137(x81241),f150(x81241,x81242,x81243,x81244)))
% 225.13/225.11 [8169]E(f67(x81691,x81692,x81693),f84(x81691,x81693))+~P105(f326(x81693,x81694))+P105(f326(x81693,f775(x81692,x81691,x81693,x81694)))
% 225.13/225.11 [8350]~P105(f326(f60(x83502),x83504))+~P105(f326(f60(x83501),x83503))+P105(f326(f60(f923(x83501,x83502)),f312(x83501,x83502,x83503,x83504)))
% 225.13/225.11 [8351]~P105(f326(f137(x83512),x83514))+~P105(f326(f137(x83511),x83513))+P105(f326(f137(f924(x83511,x83512)),f58(x83511,x83512,x83513,x83514)))
% 225.13/225.11 [8354]P105(f326(f326(f328(f918(x83541)),f326(f326(f134(x83541),x83542),x83543)),f161(x83541,x83544)))+~P105(f326(f326(f328(f918(x83541)),x83543),f161(x83541,x83544)))+~P105(f326(f326(f328(f918(x83541)),x83542),f161(x83541,x83544)))
% 225.13/225.11 [8630]E(x86301,f2(a917))+P105(f326(x86302,x86303))+~P105(f326(x86302,f771(x86302,x86303,x86301,x86304)))
% 225.13/225.11 [8667]~P108(x86673)+~P105(f326(f137(x86671),f150(x86671,x86673,x86674,x86672)))+P105(f326(f137(x86671),x86672))
% 225.13/225.11 [8950]~P105(f326(f326(f328(f924(x89501,x89501)),f326(f326(f251(x89501,x89501),x89502),x89504)),f306(x89501,x89503)))+P105(f326(f326(f328(x89501),x89502),f315(x89501,x89503)))+~P105(f326(f326(f328(x89501),x89504),f315(x89501,x89503)))
% 225.13/225.11 [5312]~P70(x53122)+E(f326(f326(f8(x53121,x53122),x53123),x53124),f2(x53122))+P105(f326(f60(x53121),x53124))
% 225.13/225.11 [5315]~P69(x53152)+E(f326(f326(f11(x53151,x53152),x53153),x53154),f77(x53152))+P105(f326(f60(x53151),x53154))
% 225.13/225.11 [5456]~P71(x54563)+E(x54561,x54562)+~E(f326(f326(f79(x54563),x54564),x54561),f326(f326(f79(x54563),x54564),x54562))
% 225.13/225.11 [5457]~P72(x54573)+E(x54571,x54572)+~E(f326(f326(f79(x54573),x54574),x54571),f326(f326(f79(x54573),x54574),x54572))
% 225.13/225.11 [5459]~P71(x54593)+E(x54591,x54592)+~E(f326(f326(f79(x54593),x54591),x54594),f326(f326(f79(x54593),x54592),x54594))
% 225.13/225.11 [5554]~P123(x55541)+~E(x55543,f326(f326(f80(x55541),x55542),x55544))+P105(f326(f326(f286(x55541),x55542),x55543))
% 225.13/225.11 [5582]~P5(x55823)+E(x55821,f188(f925(x55822,a913)))+E(f326(f326(f38(x55822,x55823),x55821),f326(f18(x55823,x55822),x55824)),x55824)
% 225.13/225.11 [5583]~P5(x55833)+E(x55831,f188(f925(x55832,a913)))+E(f326(f326(f39(x55832,x55833),x55831),f326(f18(x55833,x55832),x55834)),x55834)
% 225.13/225.11 [5733]~E(x57334,f188(f925(x57331,a913)))+~E(x57334,f326(f326(f308(x57331),x57332),x57333))+P105(f326(f326(f328(x57331),x57332),x57333))
% 225.13/225.11 [5801]~P109(x58013)+E(x58011,x58012)+~E(f302(x58013,x58014,x58011),f326(f326(f308(x58013),x58012),f188(f925(x58013,a913))))
% 225.13/225.11 [5802]~P109(x58023)+E(x58021,x58022)+~E(f302(x58023,x58021,x58022),f326(f326(f308(x58023),x58024),f188(f925(x58023,a913))))
% 225.13/225.11 [5862]~P35(x58623,x58621,x58624)+P35(x58623,x58621,f326(f326(f151(x58623),x58622),x58624))+P105(f326(x58621,x58622))
% 225.13/225.11 [5964]~P31(x59641,x59642,x59644)+~P105(f326(x59642,x59643))+P31(x59641,x59642,f326(f326(f151(x59641),x59643),x59644))
% 225.13/225.11 [6112]P105(f326(x61121,x61122))+~P105(f326(f247(x61123,x61121),x61124))+~P105(f326(f326(f328(x61123),x61122),x61124))
% 225.13/225.11 [6121]~P31(x61211,x61212,x61214)+~P31(x61211,x61212,x61213)+P31(x61211,x61212,f326(f326(f134(x61211),x61213),x61214))
% 225.13/225.11 [6136]P33(x61361,x61362,x61363)+~P33(x61361,x61362,f326(f326(f151(x61361),x61364),x61363))+P105(f326(x61362,x61364))
% 225.13/225.11 [6137]P35(x61371,x61372,x61373)+~P35(x61371,x61372,f326(f326(f151(x61371),x61374),x61373))+P105(f326(x61372,x61374))
% 225.13/225.11 [6212]P33(x62121,x62122,x62123)+P33(x62121,x62122,x62124)+~P33(x62121,x62122,f326(f326(f134(x62121),x62124),x62123))
% 225.13/225.11 [6232]~P70(x62321)+E(f326(f326(f8(a917,x62321),x62322),f326(f301(a917,x62323),f326(a112,x62324))),f2(x62321))+~P105(f326(f326(f235(a917),x62324),x62323))
% 225.13/225.11 [6237]~P4(x62371)+~E(f44(x62371,x62372,x62373),f44(x62371,x62374,x62373))+E(f44(x62371,f326(f78(x62371),x62372),x62373),f44(x62371,f326(f78(x62371),x62374),x62373))
% 225.13/225.11 [6305]P105(f326(x63051,x63052))+~E(f326(f136(x63053,x63051),x63054),x63054)+~P105(f326(f326(f328(x63053),x63052),f326(f172(x63053),x63054)))
% 225.13/225.11 [6324]~E(f326(f326(f79(a917),x63243),x63242),f326(f326(f79(a917),x63241),x63244))+~P105(f326(f326(f235(a917),x63243),x63244))+P105(f326(f326(f235(a917),x63241),x63242))
% 225.13/225.11 [6330]P33(x63301,x63302,x63303)+~P105(f326(x63302,x63304))+~P105(f326(f326(f328(x63301),x63304),f326(f172(x63301),x63303)))
% 225.13/225.11 [6370]~P31(x63703,x63701,x63704)+P105(f326(x63701,x63702))+~P105(f326(f326(f328(x63703),x63702),f326(f172(x63703),x63704)))
% 225.13/225.11 [6372]~E(f326(f136(x63721,x63722),x63723),f113(x63721))+~P105(f326(x63722,x63724))+~P105(f326(f326(f328(x63721),x63724),f326(f172(x63721),x63723)))
% 225.13/225.11 [6373]~E(f177(x63733,x63731,x63734),x63734)+P105(f326(x63731,x63732))+~P105(f326(f326(f328(x63733),x63732),f326(f172(x63733),x63734)))
% 225.13/225.11 [6400]~E(x64004,f188(f925(x64002,a913)))+~E(x64003,f188(f925(x64001,a913)))+E(f312(x64001,x64002,x64003,x64004),f188(f925(f923(x64001,x64002),a913)))
% 225.13/225.11 [6549]P105(f326(x65491,x65492))+~P105(f326(f160(x65493,x65491),x65494))+~P105(f326(f326(f328(x65493),x65492),f326(f172(x65493),x65494)))
% 225.13/225.11 [6684]~P30(x66841,x66843,x66844)+P105(f326(x66841,x66842))+~P105(f326(f326(f328(a917),x66842),f326(f301(a917,x66843),x66844)))
% 225.13/225.11 [6822]~P70(x68221)+E(f326(f326(f8(a917,x68221),x68222),f302(a917,x68223,f326(a112,x68224))),f2(x68221))+~P105(f326(f326(f235(a917),f326(a112,x68224)),x68223))
% 225.13/225.11 [6963]~P108(x69631)+E(f326(f326(f3(f925(x69631,a913)),f326(f301(x69631,x69632),x69633)),f326(f301(x69631,x69632),x69634)),f326(f301(x69631,x69634),x69633))+~P105(f326(f326(f234(x69631),x69632),x69634))
% 225.13/225.11 [7034]~E(x70343,x70344)+E(x70341,f2(a917))+P105(f326(f326(f328(x70342),x70343),f326(f172(x70342),f169(x70342,x70341,x70344))))
% 225.13/225.11 [7314]~P105(f326(f326(f328(f918(x73141)),x73144),f161(x73141,x73143)))+P105(f326(f326(f328(x73141),x73142),x73143))+~P105(f326(f326(f328(x73141),x73142),f326(f172(x73141),x73144)))
% 225.13/225.11 [7321]~P37(x73211,x73212)+P105(f326(f326(f328(x73211),f603(x73212,x73211,x73213)),x73213))+~P105(f326(f326(f328(x73211),x73214),x73213))
% 225.13/225.11 [7378]~P70(x73781)+E(f326(f326(f326(f64(x73781,x73782,f79(x73781)),x73783),f2(x73781)),x73784),f326(f326(f8(x73782,x73781),x73783),x73784))+~P105(f326(f60(x73782),x73784))
% 225.13/225.11 [7380]~P69(x73801)+E(f326(f326(f326(f64(x73801,x73802,f80(x73801)),x73803),f77(x73801)),x73804),f326(f326(f11(x73802,x73801),x73803),x73804))+~P105(f326(f60(x73802),x73804))
% 225.13/225.11 [7409]P25(x74091,x74092,x74093,x74094)+~E(f326(f34(x74092),f326(f309(x74091,x74092,x74093),x74094)),f326(f34(x74091),x74094))+~P105(f326(f60(x74091),x74094))
% 225.13/225.11 [7603]~P70(x76031)+E(f326(f326(f79(x76031),f326(x76032,x76033)),f326(f326(f8(a917,x76031),x76032),f304(a917,x76033,x76034))),f326(f326(f8(a917,x76031),x76032),f302(a917,x76033,x76034)))+~P105(f326(f326(f234(a917),x76033),x76034))
% 225.13/225.11 [7613]~P70(x76131)+~P25(x76132,x76131,x76133,x76134)+E(f326(f326(f8(x76131,x76131),f31(x76131)),f326(f309(x76132,x76131,x76133),x76134)),f326(f326(f8(x76132,x76131),x76133),x76134))
% 225.13/225.11 [7614]~P69(x76141)+~P25(x76142,x76141,x76143,x76144)+E(f326(f326(f11(x76141,x76141),f31(x76141)),f326(f309(x76142,x76141,x76143),x76144)),f326(f326(f11(x76142,x76141),x76143),x76144))
% 225.13/225.11 [7663]E(f326(f34(f923(x76631,x76632)),f312(x76631,x76632,x76633,x76634)),f326(f326(f79(a917),f326(f34(x76631),x76633)),f326(f34(x76632),x76634)))+~P105(f326(f60(x76632),x76634))+~P105(f326(f60(x76631),x76633))
% 225.13/225.11 [7744]E(x77441,x77442)+P105(f326(f326(f328(x77443),x77441),f326(f172(x77443),f170(x77443,x77442,x77444))))+~P105(f326(f326(f328(x77443),x77441),f326(f172(x77443),x77444)))
% 225.13/225.11 [7973]~P70(x79731)+E(f326(f326(f79(x79731),f326(f326(f8(a917,x79731),x79732),f326(f301(a917,x79733),x79734))),f326(x79732,x79734)),f326(f326(f8(a917,x79731),x79732),f326(f301(a917,x79733),f326(a112,x79734))))+P105(f326(f326(f235(a917),x79734),x79733))
% 225.13/225.11 [8022]~P25(x80221,x80222,x80223,f241(f925(x80221,a913)))+~P105(f326(f60(x80222),x80224))+P105(f326(f60(x80221),f326(f310(x80221,x80222,x80223),x80224)))
% 225.13/225.11 [8139]P105(f326(f326(f328(f918(x81391)),f326(f326(f151(x81391),x81392),x81393)),f161(x81391,x81394)))+~P105(f326(f326(f328(f918(x81391)),x81393),f161(x81391,x81394)))+~P105(f326(f326(f328(x81391),x81392),x81394))
% 225.13/225.11 [8226]~E(f326(f309(x82263,x82261,x82264),f241(f925(x82263,a913))),f241(f925(x82261,a913)))+P105(f326(f60(x82261),x82262))+~P105(f326(f60(x82263),f326(f310(x82263,x82261,x82264),x82262)))
% 225.13/225.11 [8320]~P25(x83201,x83203,x83204,x83202)+P105(f326(f60(x83201),x83202))+~P105(f326(f60(x83203),f326(f309(x83201,x83203,x83204),x83202)))
% 225.13/225.11 [8344]~E(x83442,x83443)+P105(f326(f326(f328(f924(x83441,x83441)),f326(f326(f251(x83441,x83441),x83442),x83443)),f262(x83441,x83444)))+~P105(f326(f326(f328(x83441),x83442),x83444))
% 225.13/225.11 [8377]~P70(x83771)+E(f326(f326(f79(x83771),f326(f326(f8(a917,x83771),x83772),f302(a917,x83773,x83774))),f326(x83772,f326(a112,x83774))),f326(f326(f8(a917,x83771),x83772),f302(a917,x83773,f326(a112,x83774))))+P105(f326(f326(f235(a917),f326(a112,x83774)),x83773))
% 225.13/225.11 [8437]P105(f326(x84371,x84372))+~P105(f326(x84371,f326(f326(f164(x84373),x84374),f662(x84371,x84374,x84373))))+~P105(f326(f326(f328(x84373),x84372),f326(f172(x84373),x84374)))
% 225.13/225.11 [8576]~P105(f326(f326(f328(x85761),x85762),f315(x85761,x85764)))+P105(f326(f326(f328(f918(x85761)),f326(f326(f151(x85761),x85762),x85763)),f315(f918(x85761),f157(x85761,x85764))))+~P105(f326(f326(f328(f918(x85761)),x85763),f315(f918(x85761),f157(x85761,x85764))))
% 225.13/225.11 [8591]~P25(x85912,x85913,x85914,f537(x85914,x85913,x85912,x85911))+P25(x85912,x85913,x85914,f37(f925(x85912,a913),x85911))+E(x85911,f188(f925(f925(x85912,a913),a913)))
% 225.13/225.11 [8859]E(x88591,x88592)+~P105(f326(f326(f328(f924(x88593,x88593)),f326(f326(f251(x88593,x88593),x88591),x88592)),f306(x88593,x88594)))+P105(f326(f326(f328(x88593),x88591),f326(f263(x88593,x88593),x88594)))
% 225.13/225.11 [9137]E(x91371,f2(a917))+P105(f326(x91372,x91373))+P105(f326(f326(f328(x91374),f771(x91372,x91373,x91371,x91374)),f326(f172(x91374),f169(x91374,x91371,x91373))))
% 225.13/225.11 [9149]E(x91491,f2(a917))+~P105(f326(x91493,x91494))+P105(f326(f326(f328(x91492),f770(x91493,x91494,x91491,x91492)),f326(f172(x91492),f169(x91492,x91491,x91494))))
% 225.13/225.11 [9151]~P26(x91511,x91512,x91513,f241(f925(x91511,a913)),f241(f925(x91512,a913)))+~P105(f326(f60(x91512),x91514))+P105(f326(f60(x91511),f326(f310(x91511,x91512,x91513),x91514)))
% 225.13/225.11 [9154]P25(x91542,x91543,x91544,f37(f925(x91542,a913),x91541))+E(x91541,f188(f925(f925(x91542,a913),a913)))+P105(f326(f326(f328(f925(x91542,a913)),f537(x91544,x91543,x91542,x91541)),x91541))
% 225.13/225.11 [9269]~P26(x92693,x92691,x92694,f241(f925(x92693,a913)),f241(f925(x92691,a913)))+P105(f326(f60(x92691),x92692))+~P105(f326(f60(x92693),f326(f310(x92693,x92691,x92694),x92692)))
% 225.13/225.11 [9286]P105(f326(f60(x92861),x92862))+~P105(f326(f60(x92864),f326(f309(x92861,x92864,x92863),x92862)))+P105(f326(f326(f328(x92861),f578(x92863,x92864,x92862,x92861)),x92862))
% 225.13/225.11 [9380]~P5(x93802)+E(f326(f326(f63(x93801,x93802,f326(f326(f10(x93802,f925(x93802,x93802),x93801),f101(x93802)),x93803)),f188(x93802)),x93804),f326(f326(f38(x93801,x93802),x93804),x93803))+~P105(f326(f60(x93801),x93804))
% 225.13/225.11 [9381]~P5(x93812)+E(f326(f326(f63(x93811,x93812,f326(f326(f10(x93812,f925(x93812,x93812),x93811),f102(x93812)),x93813)),f241(x93812)),x93814),f326(f326(f39(x93811,x93812),x93814),x93813))+~P105(f326(f60(x93811),x93814))
% 225.13/225.11 [9411]~P105(f326(f326(f286(a917),x94113),x94114))+P105(f326(f326(f286(a917),x94111),x94112))+P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x94111,x94112)),f289(a917,f286(a917),x94113,x94114)))
% 225.13/225.11 [9466]P105(f326(x94661,x94662))+~P105(f326(x94661,f326(f326(f164(x94663),x94664),f698(x94662,x94661,x94664,x94663))))+~P105(f326(f326(f328(x94663),x94662),f326(f172(x94663),x94664)))
% 225.13/225.11 [9487]E(x94871,x94872)+~P105(f326(f326(f328(f924(x94873,x94873)),f326(f326(f251(x94873,x94873),x94871),x94872)),f306(x94873,x94874)))+P105(f326(f326(f328(f924(x94873,x94873)),f326(f326(f251(x94873,x94873),x94871),x94872)),f326(f326(f288(x94873,x94873,x94873),x94874),f306(x94873,x94874))))
% 225.13/225.11 [9537]~E(f326(f189(f918(x95371)),x95372),f326(f189(f918(x95371)),x95373))+~P105(f326(f326(f328(f924(f918(x95371),f918(x95371))),f326(f326(f251(f918(x95371),f918(x95371)),x95372),x95373)),f147(x95371,x95374)))+P105(f326(f326(f328(f924(f918(x95371),f918(x95371))),f326(f326(f251(f918(x95371),f918(x95371)),x95372),x95373)),f145(x95371,x95374)))
% 225.13/225.11 [9660]P105(f326(f326(f286(a917),x96601),x96602))+~P105(f326(f326(f286(a917),x96603),x96601))+~P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x96603,x96601)),f289(a917,f286(a917),x96604,x96602)))
% 225.13/225.11 [9661]P105(f326(f326(f286(a917),x96611),x96612))+~P105(f326(f326(f286(a917),x96612),x96613))+~P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x96612,x96613)),f289(a917,f286(a917),x96611,x96614)))
% 225.13/225.11 [9780]P31(x97801,f326(f326(f20(x97801,a913,a913),f326(f326(f10(a913,f925(a913,a913),x97801),a325),f326(f326(f10(a913,a913,x97801),a321),x97802))),f326(a323,x97803)),x97804)+~P105(f326(x97802,x97803))+~P35(x97801,x97802,f326(f326(f151(x97801),x97803),x97804))
% 225.13/225.11 [9946]~P31(x99461,f326(f326(f20(x99461,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99461),a325),f326(f326(f10(a913,a913,x99461),a321),x99462))),f326(a323,x99463)),x99464)+~P105(f326(x99462,x99463))+P35(x99461,x99462,f326(f326(f151(x99461),x99463),x99464))
% 225.13/225.11 [9950]~P35(x99501,x99502,x99504)+~P31(x99501,f326(f326(f20(x99501,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99501),a325),f326(f326(f10(a913,a913,x99501),a321),x99502))),f326(a323,x99503)),x99504)+P35(x99501,x99502,f326(f326(f151(x99501),x99503),x99504))
% 225.13/225.11 [9983]~P67(x99831)+E(f326(f326(f8(a917,x99831),f326(f326(f20(a917,x99831,x99831),f326(f326(f10(x99831,f925(x99831,x99831),a917),f3(x99831)),x99832)),f326(f326(f10(a917,x99831,a917),x99832),f326(f326(f9(a917,a917,a917),f79(a917)),f77(a917))))),f302(a917,x99833,x99834)),f2(x99831))+P105(f326(f326(f234(a917),x99833),x99834))
% 225.13/225.11 [10223]~P37(x102232,x102234)+~P25(x102232,x102231,x102233,f241(f925(x102232,a913)))+P37(x102231,f326(f309(f924(x102232,x102232),f924(x102231,x102231),f257(x102232,x102231,x102232,x102231,x102233,x102233)),x102234))
% 225.13/225.11 [10416]~E(f326(f189(f918(x104161)),x104163),f326(f189(f918(x104161)),x104162))+P105(f326(f326(f328(f924(f918(x104161),f918(x104161))),f326(f326(f251(f918(x104161),f918(x104161)),x104162),x104163)),f158(x104161,x104164)))+~P105(f326(f326(f256(x104161,x104161,a913),f326(f326(f9(x104161,f925(f924(x104161,x104161),a913),f925(x104161,a913)),f326(f326(f10(f925(x104161,f925(f925(f924(x104161,x104161),a913),a913)),f925(f925(f924(x104161,x104161),a913),f925(x104161,a913)),x104161),f9(x104161,f925(f924(x104161,x104161),a913),a913)),f326(f326(f10(f925(x104161,f924(x104161,x104161)),f925(x104161,f925(f925(f924(x104161,x104161),a913),a913)),x104161),f326(f10(f924(x104161,x104161),f925(f925(f924(x104161,x104161),a913),a913),x104161),f328(f924(x104161,x104161)))),f251(x104161,x104161)))),x104164)),f666(x104164,x104163,x104162,x104161)))
% 225.13/225.11 [6286]~P3(x62861)+~E(x62862,f2(x62861))+E(f326(f326(f35(x62861),f326(f326(f80(x62861),x62862),x62863)),f326(f326(f80(x62861),x62862),x62864)),f2(x62861))
% 225.13/225.11 [6327]E(x63271,f113(x63272))+E(x63273,f326(f326(f3(a917),f326(f189(f918(x63272)),x63271)),f77(a917)))+E(f144(x63272,f326(f326(f159(x63272,x63271),x63273),x63274)),f144(x63272,x63271))
% 225.13/225.11 [6361]E(x63611,x63612)+P105(f326(x63613,x63612))+~P105(f326(f326(f326(f308(x63614),x63611),x63613),x63612))
% 225.13/225.11 [6377]~P70(x63771)+~P105(f326(f137(x63772),x63774))+E(f326(f165(x63771),f326(f326(f154(x63772,x63771),x63773),x63774)),f326(f326(f8(x63772,x63771),x63773),f326(f172(x63772),x63774)))
% 225.13/225.11 [6393]~P69(x63932)+~P105(f326(f60(x63931),x63934))+E(f326(f326(f11(x63931,x63932),f326(f18(x63932,x63931),x63933)),x63934),f326(f326(f243(x63932),x63933),f326(f34(x63931),x63934)))
% 225.13/225.11 [6447]~P61(x64472)+E(x64471,f2(x64472))+E(f326(f326(f290(x64472),f326(f326(f80(x64472),x64473),x64471)),f326(f326(f80(x64472),x64474),x64471)),f326(f326(f290(x64472),x64473),x64474))
% 225.13/225.11 [6448]~P61(x64482)+E(x64481,f2(x64482))+E(f326(f326(f290(x64482),f326(f326(f80(x64482),x64481),x64483)),f326(f326(f80(x64482),x64481),x64484)),f326(f326(f290(x64482),x64483),x64484))
% 225.13/225.11 [6449]~P3(x64492)+E(x64491,f2(x64492))+E(f326(f326(f35(x64492),f326(f326(f80(x64492),x64493),x64491)),f326(f326(f80(x64492),x64494),x64491)),f326(f326(f35(x64492),x64493),x64494))
% 225.13/225.11 [6451]~P3(x64512)+E(x64511,f2(x64512))+E(f326(f326(f35(x64512),f326(f326(f80(x64512),x64511),x64513)),f326(f326(f80(x64512),x64511),x64514)),f326(f326(f35(x64512),x64513),x64514))
% 225.13/225.11 [6517]P105(f326(x65171,x65172))+~E(x65173,f326(f326(f79(a917),x65174),x65172))+~P105(f326(x65171,f326(f326(f3(a917),x65173),x65174)))
% 225.13/225.11 [6601]~P105(f326(x66012,x66013))+~P105(f326(f160(x66011,x66012),x66014))+P105(f326(f160(x66011,x66012),f326(f326(f151(x66011),x66013),x66014)))
% 225.13/225.11 [6641]E(x66411,f113(x66412))+~E(x66413,f326(f326(f3(a917),f326(f189(f918(x66412)),x66411)),f77(a917)))+E(f144(x66412,f326(f326(f159(x66412,x66411),x66413),x66414)),x66414)
% 225.13/225.11 [6665]~P108(x66651)+~P105(f326(f326(f234(x66651),x66652),x66654))+P105(f326(f326(f234(x66651),x66652),f326(f326(f233(x66651),x66653),x66654)))
% 225.13/225.11 [6667]~P108(x66671)+~P105(f326(f326(f234(x66671),x66672),x66673))+P105(f326(f326(f234(x66671),x66672),f326(f326(f233(x66671),x66673),x66674)))
% 225.13/225.11 [6668]~P98(x66681)+~P105(f326(f326(f234(x66681),x66682),x66684))+P105(f326(f326(f234(x66681),x66682),f326(f326(f101(x66681),x66683),x66684)))
% 225.13/225.11 [6669]~P98(x66691)+~P105(f326(f326(f234(x66691),x66692),x66693))+P105(f326(f326(f234(x66691),x66692),f326(f326(f101(x66691),x66693),x66694)))
% 225.13/225.11 [6671]~P108(x66711)+~P105(f326(f326(f235(x66711),x66712),x66714))+P105(f326(f326(f235(x66711),x66712),f326(f326(f233(x66711),x66713),x66714)))
% 225.13/225.11 [6673]~P108(x66731)+~P105(f326(f326(f235(x66731),x66732),x66733))+P105(f326(f326(f235(x66731),x66732),f326(f326(f233(x66731),x66733),x66734)))
% 225.13/225.11 [6674]~P98(x66741)+~P105(f326(f326(f235(x66741),x66742),x66744))+P105(f326(f326(f235(x66741),x66742),f326(f326(f101(x66741),x66743),x66744)))
% 225.13/225.11 [6675]~P98(x66751)+~P105(f326(f326(f235(x66751),x66752),x66753))+P105(f326(f326(f235(x66751),x66752),f326(f326(f101(x66751),x66753),x66754)))
% 225.13/225.11 [6676]~P120(x66761)+~P105(f326(f326(f286(x66761),x66762),x66764))+P105(f326(f326(f286(x66761),x66762),f326(f326(f80(x66761),x66763),x66764)))
% 225.13/225.11 [6677]~P120(x66771)+~P105(f326(f326(f286(x66771),x66772),x66773))+P105(f326(f326(f286(x66771),x66772),f326(f326(f80(x66771),x66773),x66774)))
% 225.13/225.11 [6766]~E(f326(f326(f164(x67661),x67662),x67663),x67664)+E(f326(f326(f159(x67661,x67662),x67663),x67664),x67662)+~P105(f326(f326(f235(a917),x67663),f326(f189(f918(x67661)),x67662)))
% 225.13/225.11 [6806]P105(f326(x68061,x68062))+~P105(f326(x68063,x68062))+~P105(f326(f326(f234(f925(x68064,a913)),x68063),x68061))
% 225.13/225.11 [6839]~E(f326(f326(f159(x68391,x68392),x68393),x68394),x68392)+E(f326(f326(f164(x68391),x68392),x68393),x68394)+~P105(f326(f326(f235(a917),x68393),f326(f189(f918(x68391)),x68392)))
% 225.13/225.11 [6853]~P105(f326(f160(x68531,x68532),x68534))+~P105(f326(f160(x68531,x68532),x68533))+P105(f326(f160(x68531,x68532),f326(f326(f134(x68531),x68533),x68534)))
% 225.13/225.11 [6959]E(x69591,f188(f925(x69592,a913)))+E(x69593,f188(f925(x69594,a913)))+~E(f326(f326(f253(x69594,x69592),x69593),f326(f18(f925(x69592,a913),x69594),x69591)),f188(f925(f924(x69594,x69592),a913)))
% 225.13/225.11 [6979]E(x69791,x69792)+P105(f326(f326(f328(x69793),x69791),x69794))+~P105(f326(f326(f328(x69793),x69791),f326(f326(f308(x69793),x69792),x69794)))
% 225.13/225.11 [6996]~P108(x69961)+P105(f326(f326(f234(x69961),x69962),x69963))+~P105(f326(f326(f234(x69961),x69962),f326(f326(f238(x69961),x69964),x69963)))
% 225.13/225.11 [6998]~P108(x69981)+P105(f326(f326(f234(x69981),x69982),x69983))+~P105(f326(f326(f234(x69981),x69982),f326(f326(f238(x69981),x69983),x69984)))
% 225.13/225.11 [7000]~P102(x70001)+P105(f326(f326(f234(x70001),x70002),x70003))+~P105(f326(f326(f234(x70001),x70002),f326(f326(f102(x70001),x70004),x70003)))
% 225.13/225.11 [7002]~P102(x70021)+P105(f326(f326(f234(x70021),x70022),x70023))+~P105(f326(f326(f234(x70021),x70022),f326(f326(f102(x70021),x70023),x70024)))
% 225.13/225.11 [7003]~P108(x70031)+P105(f326(f326(f235(x70031),x70032),x70033))+~P105(f326(f326(f235(x70031),x70032),f326(f326(f238(x70031),x70034),x70033)))
% 225.13/225.11 [7004]~P108(x70041)+P105(f326(f326(f235(x70041),x70042),x70043))+~P105(f326(f326(f235(x70041),x70042),f326(f326(f238(x70041),x70043),x70044)))
% 225.13/225.11 [7025]~E(f326(f326(f164(x70251),x70253),x70254),x70252)+P105(f326(f326(f328(x70251),x70252),f326(f172(x70251),x70253)))+~P105(f326(f326(f235(a917),x70254),f326(f189(f918(x70251)),x70253)))
% 225.13/225.11 [7035]~P108(x70351)+~P13(x70351,f326(f326(f151(x70351),x70352),f326(f326(f151(x70351),x70353),x70354)))+P105(f326(f326(f234(x70351),x70352),x70353))
% 225.13/225.11 [7179]~P31(x71792,x71791,x71793)+P105(f326(x71791,f326(f326(f164(x71792),x71793),x71794)))+~P105(f326(f326(f235(a917),x71794),f326(f189(f918(x71792)),x71793)))
% 225.13/225.11 [7197]E(x71971,f2(a1))+E(f326(f326(f35(a1),x71972),x71971),x71973)+~P105(f326(f48(x71972,x71971),f326(f326(f251(a1,a1),x71973),x71974)))
% 225.13/225.11 [7218]E(f44(a1,x72182,x72181),x72183)+E(x72181,f2(a1))+~P105(f326(f48(x72182,x72181),f326(f326(f251(a1,a1),x72184),x72183)))
% 225.13/225.11 [7338]P105(f326(f326(f328(x73381),x73382),x73383))+~P105(f326(f326(f328(x73381),x73382),x73384))+~P105(f326(f326(f235(f925(x73381,a913)),x73384),x73383))
% 225.13/225.11 [7339]P105(f326(f326(f328(x73391),x73392),x73393))+~P105(f326(f326(f328(x73391),x73392),x73394))+~P105(f326(f326(f234(f925(x73391,a913)),x73394),x73393))
% 225.13/225.11 [7350]~P122(x73501)+~E(x73503,f2(x73501))+P105(f326(f326(f286(x73501),f326(f326(f80(x73501),x73502),x73503)),f326(f326(f80(x73501),x73504),x73503)))
% 225.13/225.11 [7351]~P122(x73511)+~E(x73512,f2(x73511))+P105(f326(f326(f286(x73511),f326(f326(f80(x73511),x73512),x73513)),f326(f326(f80(x73511),x73512),x73514)))
% 225.13/225.11 [7453]P33(x74531,x74532,x74533)+~P105(f326(x74532,f326(f326(f164(x74531),x74533),x74534)))+~P105(f326(f326(f235(a917),x74534),f326(f189(f918(x74531)),x74533)))
% 225.13/225.11 [7569]~P107(x75692)+~P105(f326(f326(f235(f925(x75691,x75692)),x75693),x75694))+P105(f326(f326(f234(f925(x75691,x75692)),x75693),x75694))
% 225.13/225.11 [7652]~P24(x76521,x76522,x76524)+P24(x76521,x76522,f326(f326(f308(f916(x76521)),x76523),x76524))+~P24(x76521,x76522,f326(f326(f308(f916(x76521)),x76523),f188(f925(f916(x76521),a913))))
% 225.13/225.11 [7694]~P105(f326(f326(f328(x76941),x76942),x76944))+P105(f326(f326(f328(x76941),x76942),f36(f925(x76941,a913),x76943)))+~P105(f326(f326(f328(f925(x76941,a913)),x76944),x76943))
% 225.13/225.11 [7722]~P82(x77221)+~P105(f326(f326(f234(x77221),x77223),x77224))+P105(f326(f326(f234(x77221),f326(f326(f79(x77221),x77222),x77223)),f326(f326(f79(x77221),x77222),x77224)))
% 225.13/225.11 [7723]~P83(x77231)+~P105(f326(f326(f234(x77231),x77233),x77234))+P105(f326(f326(f234(x77231),f326(f326(f79(x77231),x77232),x77233)),f326(f326(f79(x77231),x77232),x77234)))
% 225.13/225.11 [7724]~P82(x77241)+~P105(f326(f326(f234(x77241),x77242),x77244))+P105(f326(f326(f234(x77241),f326(f326(f79(x77241),x77242),x77243)),f326(f326(f79(x77241),x77244),x77243)))
% 225.13/225.11 [7725]~P83(x77251)+~P105(f326(f326(f234(x77251),x77252),x77254))+P105(f326(f326(f234(x77251),f326(f326(f79(x77251),x77252),x77253)),f326(f326(f79(x77251),x77254),x77253)))
% 225.13/225.11 [7726]~P81(x77261)+~P105(f326(f326(f235(x77261),x77263),x77264))+P105(f326(f326(f235(x77261),f326(f326(f79(x77261),x77262),x77263)),f326(f326(f79(x77261),x77262),x77264)))
% 225.13/225.11 [7727]~P82(x77271)+~P105(f326(f326(f235(x77271),x77273),x77274))+P105(f326(f326(f235(x77271),f326(f326(f79(x77271),x77272),x77273)),f326(f326(f79(x77271),x77272),x77274)))
% 225.13/225.11 [7728]~P81(x77281)+~P105(f326(f326(f235(x77281),x77282),x77284))+P105(f326(f326(f235(x77281),f326(f326(f79(x77281),x77282),x77283)),f326(f326(f79(x77281),x77284),x77283)))
% 225.13/225.11 [7729]~P82(x77291)+~P105(f326(f326(f235(x77291),x77292),x77294))+P105(f326(f326(f235(x77291),f326(f326(f79(x77291),x77292),x77293)),f326(f326(f79(x77291),x77294),x77293)))
% 225.13/225.11 [7730]~P122(x77301)+~P105(f326(f326(f286(x77301),x77303),x77304))+P105(f326(f326(f286(x77301),f326(f326(f80(x77301),x77302),x77303)),f326(f326(f80(x77301),x77302),x77304)))
% 225.13/225.11 [7731]~P122(x77311)+~P105(f326(f326(f286(x77311),x77312),x77314))+P105(f326(f326(f286(x77311),f326(f326(f80(x77311),x77312),x77313)),f326(f326(f80(x77311),x77314),x77313)))
% 225.13/225.11 [7738]~P110(x77381)+~P91(x77381)+E(f326(f326(f3(x77381),f326(f326(f80(x77381),x77382),f326(f104(x77381),x77383))),f326(f326(f80(x77381),x77384),f326(f104(x77381),x77383))),f326(f326(f80(x77381),f326(f326(f3(x77381),x77382),x77384)),f326(f104(x77381),x77383)))
% 225.13/225.11 [7739]~P139(x77391)+~P91(x77391)+E(f326(f326(f79(x77391),f326(f326(f80(x77391),x77392),f326(f104(x77391),x77393))),f326(f326(f80(x77391),x77394),f326(f104(x77391),x77393))),f326(f326(f80(x77391),f326(f326(f79(x77391),x77392),x77394)),f326(f104(x77391),x77393)))
% 225.13/225.11 [7775]~P70(x77751)+E(f326(f326(f79(x77751),f326(x77752,x77753)),f326(f326(f8(a917,x77751),x77752),f302(a917,f326(a112,x77753),x77754))),f326(f326(f8(a917,x77751),x77752),f302(a917,x77753,x77754)))+~P105(f326(f326(f234(a917),x77753),x77754))
% 225.13/225.11 [7787]~P25(x77872,x77871,x77873,f326(f172(x77872),x77874))+~P105(f326(f137(x77872),x77874))+P105(f326(f137(x77871),f326(f326(f154(x77872,x77871),x77873),x77874)))
% 225.13/225.11 [7836]~P105(f326(f326(f234(a917),x78362),x78364))+~P105(f326(f326(f234(a917),x78361),x78363))+P105(f326(f326(f234(a917),f326(f326(f80(a917),x78361),x78362)),f326(f326(f80(a917),x78363),x78364)))
% 225.13/225.11 [7837]~P105(f326(f326(f234(a917),x78372),x78374))+~P105(f326(f326(f234(a917),x78371),x78373))+P105(f326(f326(f234(a917),f326(f326(f79(a917),x78371),x78372)),f326(f326(f79(a917),x78373),x78374)))
% 225.13/225.11 [7840]~P105(f326(f326(f235(a917),x78402),x78404))+~P105(f326(f326(f235(a917),x78401),x78403))+P105(f326(f326(f235(a917),f326(f326(f79(a917),x78401),x78402)),f326(f326(f79(a917),x78403),x78404)))
% 225.13/225.11 [7841]~P105(f326(f326(f234(a1),x78412),x78414))+~P105(f326(f326(f235(a1),x78411),x78413))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x78411),x78412)),f326(f326(f79(a1),x78413),x78414)))
% 225.13/225.11 [7889]P105(f326(f326(f328(x78891),x78892),x78893))+~P105(f326(f326(f328(x78891),x78892),f37(f925(x78891,a913),x78894)))+~P105(f326(f326(f328(f925(x78891,a913)),x78893),x78894))
% 225.13/225.11 [7906]~P105(f326(x79061,f660(x79061,x79063,x79062)))+P105(f326(x79061,f326(f326(f164(x79062),x79063),x79064)))+~P105(f326(f326(f235(a917),x79064),f326(f189(f918(x79062)),x79063)))
% 225.13/225.11 [7911]P105(f326(x79111,x79112))+~P105(f326(f326(f328(x79114),x79112),f326(f172(x79114),x79113)))+P105(f326(f326(f235(a917),f662(x79111,x79113,x79114)),f326(f189(f918(x79114)),x79113)))
% 225.13/225.11 [7958]~P107(x79581)+~P105(f326(f326(f235(f925(x79582,x79581)),x79584),x79583))+~P105(f326(f326(f234(f925(x79582,x79581)),x79583),x79584))
% 225.13/225.11 [8001]~P105(f326(x80014,x80012))+~P105(f326(f326(f328(x80011),x80012),x80013))+P105(f326(f326(f328(x80011),x80012),f326(f326(f102(f925(x80011,a913)),x80013),f326(f261(x80011),x80014))))
% 225.13/225.11 [8146]~P105(f326(f326(f328(x81461),x81463),x81464))+~P105(f326(f326(f235(f925(x81461,a913)),x81462),x81464))+P105(f326(f326(f235(f925(x81461,a913)),x81462),f326(f326(f308(x81461),x81463),x81464)))
% 225.13/225.11 [8148]E(f326(f326(f102(f925(x81481,a913)),x81482),x81483),f188(f925(x81481,a913)))+~E(f326(f326(f102(f925(x81481,a913)),f36(f925(x81481,a913),x81484)),x81483),f188(f925(x81481,a913)))+~P105(f326(f326(f328(f925(x81481,a913)),x81482),x81484))
% 225.13/225.11 [8222]P105(f326(f326(f328(x82221),x82222),x82223))+~P105(f326(f326(f234(f925(x82221,a913)),x82223),f326(f326(f308(x82221),x82222),x82224)))+P105(f326(f326(f234(f925(x82221,a913)),x82223),x82224))
% 225.13/225.11 [8239]P105(f326(f326(f328(x82392),f660(x82391,x82393,x82392)),f326(f172(x82392),x82393)))+P105(f326(x82391,f326(f326(f164(x82392),x82393),x82394)))+~P105(f326(f326(f235(a917),x82394),f326(f189(f918(x82392)),x82393)))
% 225.13/225.11 [8247]~P105(f326(f326(f234(f925(x82471,a913)),x82472),x82474))+P105(f326(f326(f234(f925(x82471,a913)),x82472),x82473))+~P105(f326(f326(f234(f925(x82471,a913)),x82474),x82473))
% 225.13/225.11 [8248]~P105(f326(f326(f235(f925(x82481,a913)),x82482),x82484))+~P105(f326(f326(f234(f925(x82481,a913)),x82484),x82483))+P105(f326(f326(f235(f925(x82481,a913)),x82482),x82483))
% 225.13/225.11 [8249]~P105(f326(f326(f234(f925(x82491,a913)),x82492),x82494))+~P105(f326(f326(f235(f925(x82491,a913)),x82494),x82493))+P105(f326(f326(f235(f925(x82491,a913)),x82492),x82493))
% 225.13/225.11 [8250]~P105(f326(f326(f235(f925(x82501,a913)),x82502),x82504))+P105(f326(f326(f235(f925(x82501,a913)),x82502),x82503))+~P105(f326(f326(f235(f925(x82501,a913)),x82504),x82503))
% 225.13/225.11 [8293]~P105(f326(f326(f328(x82931),x82934),x82933))+~P105(f326(f326(f235(f925(x82931,a913)),x82932),f326(f326(f308(x82931),x82934),x82933)))+P105(f326(f326(f235(f925(x82931,a913)),x82932),x82933))
% 225.13/225.11 [8304]~P82(x83041)+P105(f326(f326(f234(x83041),x83042),x83043))+~P105(f326(f326(f234(x83041),f326(f326(f79(x83041),x83044),x83042)),f326(f326(f79(x83041),x83044),x83043)))
% 225.13/225.11 [8306]~P82(x83061)+P105(f326(f326(f234(x83061),x83062),x83063))+~P105(f326(f326(f234(x83061),f326(f326(f79(x83061),x83062),x83064)),f326(f326(f79(x83061),x83063),x83064)))
% 225.13/225.11 [8308]~P82(x83081)+P105(f326(f326(f235(x83081),x83082),x83083))+~P105(f326(f326(f235(x83081),f326(f326(f79(x83081),x83084),x83082)),f326(f326(f79(x83081),x83084),x83083)))
% 225.13/225.11 [8310]~P82(x83101)+P105(f326(f326(f235(x83101),x83102),x83103))+~P105(f326(f326(f235(x83101),f326(f326(f79(x83101),x83102),x83104)),f326(f326(f79(x83101),x83103),x83104)))
% 225.13/225.11 [8361]P105(f326(x83611,x83612))+~E(f326(f326(f138(x83613),f326(f189(f918(x83613)),f177(x83613,x83611,x83614))),x83614),f113(x83613))+~P105(f326(f326(f328(x83613),x83612),f326(f172(x83613),x83614)))
% 225.13/225.11 [8479]P105(f326(x84791,x84792))+~P105(f326(f326(f328(x84793),x84792),f326(f172(x84793),x84794)))+P105(f326(f326(f235(a917),f326(f189(f918(x84793)),f326(f136(x84793,x84791),x84794))),f326(f189(f918(x84793)),x84794)))
% 225.13/225.11 [8966]~P105(f326(x89661,f753(x89661,x89663,x89662,x89664)))+P105(f326(x89661,f326(f326(f164(x89662),x89663),x89664)))+~P105(f326(f326(f235(a917),x89664),f326(f189(f918(x89662)),x89663)))
% 225.13/225.11 [8990]~P25(x89904,x89903,x89901,f241(f925(x89904,a913)))+E(f326(x89901,f485(x89902,x89901,x89903,x89904)),x89902)+~P105(f326(f326(f328(x89903),x89902),f326(f309(x89904,x89903,x89901),f241(f925(x89904,a913)))))
% 225.13/225.11 [9058]E(f177(x90581,x90582,x90583),f326(f326(f175(x90581),x90584),x90583))+P105(f326(f326(f235(a917),f724(x90582,x90583,x90581,x90584)),x90584))+P105(f326(f326(f235(a917),x90584),f326(f189(f918(x90581)),x90583)))
% 225.13/225.11 [9061]E(f177(x90611,x90612,x90613),f326(f326(f175(x90611),x90614),x90613))+P105(f326(f326(f235(a917),f724(x90612,x90613,x90611,x90614)),x90614))+P105(f326(x90612,f326(f326(f164(x90611),x90613),x90614)))
% 225.13/225.11 [9096]P105(f326(x90961,x90962))+~P105(f326(f326(f328(x90964),x90962),f326(f172(x90964),x90963)))+P105(f326(f326(f235(a917),f698(x90962,x90961,x90963,x90964)),f326(f189(f918(x90964)),x90963)))
% 225.13/225.11 [9098]E(f177(x90981,x90982,x90983),f326(f326(f175(x90981),x90984),x90983))+P105(f326(f326(f235(a917),x90984),f326(f189(f918(x90981)),x90983)))+P105(f326(f326(f235(a917),f724(x90982,x90983,x90981,x90984)),f326(f189(f918(x90981)),x90983)))
% 225.13/225.11 [9105]E(f177(x91051,x91052,x91053),f326(f326(f175(x91051),x91054),x91053))+P105(f326(x91052,f326(f326(f164(x91051),x91053),x91054)))+P105(f326(f326(f235(a917),f724(x91052,x91053,x91051,x91054)),f326(f189(f918(x91051)),x91053)))
% 225.13/225.11 [9130]~P112(x91304)+P105(f326(f326(f328(x91301),f892(x91302,x91303,x91301,x91304)),x91303))+P105(f326(f326(f235(x91304),f2(x91304)),f326(f326(f11(x91301,x91304),x91302),x91303)))
% 225.13/225.11 [9131]~P112(x91314)+P105(f326(f326(f328(x91311),f894(x91312,x91313,x91311,x91314)),x91313))+P105(f326(f326(f234(x91314),f2(x91314)),f326(f326(f11(x91311,x91314),x91312),x91313)))
% 225.13/225.11 [9156]~P105(f326(f60(x91561),x91564))+P105(f326(f326(f328(x91561),f543(x91562,x91563,x91564,x91561)),x91564))+P105(f326(f60(f924(x91561,x91563)),f326(f326(f253(x91561,x91563),x91564),x91562)))
% 225.13/225.11 [9188]P105(f326(f326(f328(x91882),f753(x91881,x91883,x91882,x91884)),f326(f172(x91882),x91883)))+P105(f326(x91881,f326(f326(f164(x91882),x91883),x91884)))+~P105(f326(f326(f235(a917),x91884),f326(f189(f918(x91882)),x91883)))
% 225.13/225.11 [9317]P105(f326(f326(f234(a917),x93174),f326(f189(f918(x93172)),f177(x93172,x93173,x93171))))+P105(f326(f326(f235(a917),f725(x93171,x93172,x93173,x93174)),x93174))+~P105(f326(f326(f234(a917),x93174),f326(f189(f918(x93172)),x93171)))
% 225.13/225.11 [9470]E(f177(x94701,x94702,x94703),f326(f326(f175(x94701),x94704),x94703))+~P105(f326(x94702,f326(f326(f164(x94701),x94703),f724(x94702,x94703,x94701,x94704))))+P105(f326(f326(f235(a917),x94704),f326(f189(f918(x94701)),x94703)))
% 225.13/225.11 [9477]E(f177(x94771,x94772,x94773),f326(f326(f175(x94771),x94774),x94773))+~P105(f326(x94772,f326(f326(f164(x94771),x94773),f724(x94772,x94773,x94771,x94774))))+P105(f326(x94772,f326(f326(f164(x94771),x94773),x94774)))
% 225.13/225.11 [9481]~P105(f326(f60(x94811),x94813))+~P105(f326(f60(x94812),f326(x94814,f543(x94814,x94812,x94813,x94811))))+P105(f326(f60(f924(x94811,x94812)),f326(f326(f253(x94811,x94812),x94813),x94814)))
% 225.13/225.11 [9489]~P112(x94891)+~P105(f326(f326(f234(x94891),f2(x94891)),f326(x94893,f894(x94893,x94894,x94892,x94891))))+P105(f326(f326(f234(x94891),f2(x94891)),f326(f326(f11(x94892,x94891),x94893),x94894)))
% 225.13/225.11 [9490]~P112(x94901)+~P105(f326(f326(f235(x94901),f2(x94901)),f326(x94903,f892(x94903,x94904,x94902,x94901))))+P105(f326(f326(f235(x94901),f2(x94901)),f326(f326(f11(x94902,x94901),x94903),x94904)))
% 225.13/225.11 [9498]~E(f326(f189(f918(x94984)),x94982),f326(f189(f918(x94984)),x94983))+P105(f326(f326(f328(f924(f918(x94984),f918(x94984))),f326(f326(f251(f918(x94984),f918(x94984)),x94983),x94982)),f158(x94984,x94981)))+P105(f326(f326(f235(a917),f654(x94981,x94982,x94983,x94984)),f326(f189(f918(x94984)),x94983)))
% 225.13/225.11 [9550]~P105(f326(x95503,f326(f326(f164(x95502),x95504),f725(x95504,x95502,x95503,x95501))))+P105(f326(f326(f234(a917),x95501),f326(f189(f918(x95502)),f177(x95502,x95503,x95504))))+~P105(f326(f326(f234(a917),x95501),f326(f189(f918(x95502)),x95504)))
% 225.13/225.11 [9631]E(f326(f326(f175(x96311),f661(x96312,x96313,x96314,x96311)),x96313),f326(f326(f175(x96311),f661(x96312,x96313,x96314,x96311)),x96314))+~P105(f326(f326(f328(f924(f918(x96311),f918(x96311))),f326(f326(f251(f918(x96311),f918(x96311)),x96314),x96313)),f147(x96311,x96312)))+P105(f326(f326(f235(a917),f326(f189(f918(x96311)),x96314)),f326(f189(f918(x96311)),x96313)))
% 225.13/225.11 [9694]~P105(f326(f326(f235(a917),f2(a917)),x96943))+~P105(f326(f326(f235(a917),x96944),x96941))+P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),x96941),f44(a917,x96942,x96943))),x96944)),f326(f326(f80(a917),x96941),x96943)))
% 225.13/225.11 [9886]~P107(x98862)+~P105(f326(f326(f234(x98862),f326(x98863,f911(x98864,x98863,x98861,x98862))),f326(x98864,f911(x98864,x98863,x98861,x98862))))+P105(f326(f326(f234(f925(x98861,x98862)),x98863),x98864))
% 225.13/225.11 [9988]~P67(x99881)+E(f326(f326(f8(a917,x99881),f326(f326(f20(a917,x99881,x99881),f326(f326(f10(x99881,f925(x99881,x99881),a917),f3(x99881)),x99882)),f326(f326(f10(a917,x99881,a917),x99882),f326(f326(f9(a917,a917,a917),f79(a917)),f77(a917))))),f302(a917,x99883,x99884)),f326(f326(f3(x99881),f326(x99882,x99883)),f326(x99882,f326(f326(f79(a917),x99884),f77(a917)))))+~P105(f326(f326(f234(a917),x99883),x99884))
% 225.13/225.11 [10064]~P37(x100643,f326(f326(f288(x100643,x100643,x100643),x100642),f306(x100643,x100642)))+~P105(f326(f326(f328(f924(x100643,x100643)),f326(f326(f251(x100643,x100643),f326(x100641,f326(a112,f836(x100642,x100641,x100643)))),f326(x100641,f836(x100642,x100641,x100643)))),f306(x100643,x100642)))+E(f326(x100641,f326(f326(f79(a917),f835(x100642,x100641,x100643)),x100644)),f326(x100641,f835(x100642,x100641,x100643)))
% 225.13/225.11 [6944]~P3(x69441)+E(f326(f326(f35(x69441),f326(f326(f80(x69441),x69442),x69443)),x69444),f326(f326(f80(x69441),x69442),f326(f326(f35(x69441),x69443),x69444)))+~P105(f326(f326(f286(x69441),x69444),x69443))
% 225.13/225.11 [7029]E(f326(f326(f134(x70291),x70292),x70293),x70294)+~E(x70293,f326(f326(f138(x70291),f326(f189(f918(x70291)),x70292)),x70294))+~E(f326(f326(f175(x70291),f326(f189(f918(x70291)),x70292)),x70294),x70292)
% 225.13/225.11 [7085]~P62(x70852)+E(x70851,f2(x70852))+E(f326(f326(f290(x70852),f326(f326(f243(x70852),x70853),x70854)),f326(f326(f243(x70852),x70851),x70854)),f326(f326(f243(x70852),f326(f326(f290(x70852),x70853),x70851)),x70854))
% 225.13/225.11 [7227]~P3(x72271)+E(f326(f326(f35(x72271),f326(f326(f80(x72271),x72272),x72273)),x72274),f326(f326(f80(x72271),f326(f326(f35(x72271),x72272),x72274)),x72273))+~P105(f326(f326(f286(x72271),x72274),x72272))
% 225.13/225.11 [7236]~P108(x72361)+~P105(f326(f326(f234(x72361),x72363),x72364))+P105(f326(f326(f234(x72361),f326(f326(f238(x72361),x72362),x72363)),x72364))
% 225.13/225.11 [7238]~P108(x72381)+~P105(f326(f326(f234(x72381),x72382),x72384))+P105(f326(f326(f234(x72381),f326(f326(f238(x72381),x72382),x72383)),x72384))
% 225.14/225.11 [7239]~P102(x72391)+~P105(f326(f326(f234(x72391),x72393),x72394))+P105(f326(f326(f234(x72391),f326(f326(f102(x72391),x72392),x72393)),x72394))
% 225.14/225.11 [7240]~P102(x72401)+~P105(f326(f326(f234(x72401),x72402),x72404))+P105(f326(f326(f234(x72401),f326(f326(f102(x72401),x72402),x72403)),x72404))
% 225.14/225.11 [7242]~P108(x72421)+~P105(f326(f326(f235(x72421),x72423),x72424))+P105(f326(f326(f235(x72421),f326(f326(f238(x72421),x72422),x72423)),x72424))
% 225.14/225.11 [7244]~P108(x72441)+~P105(f326(f326(f235(x72441),x72442),x72444))+P105(f326(f326(f235(x72441),f326(f326(f238(x72441),x72442),x72443)),x72444))
% 225.14/225.11 [7245]~P102(x72451)+~P105(f326(f326(f235(x72451),x72453),x72454))+P105(f326(f326(f235(x72451),f326(f326(f102(x72451),x72452),x72453)),x72454))
% 225.14/225.11 [7246]~P102(x72461)+~P105(f326(f326(f235(x72461),x72462),x72464))+P105(f326(f326(f235(x72461),f326(f326(f102(x72461),x72462),x72463)),x72464))
% 225.14/225.11 [7269]~P105(f326(x72693,x72694))+~P105(f326(x72692,x72694))+P105(f326(f326(f326(f102(f925(x72691,a913)),x72692),x72693),x72694))
% 225.14/225.11 [7395]P24(x73951,x73952,x73953)+~P24(x73951,x73954,x73953)+~P105(f326(f326(f234(f925(f916(x73951),a913)),x73954),x73952))
% 225.14/225.11 [7396]P24(x73961,x73962,x73963)+~P24(x73961,x73962,x73964)+~P105(f326(f326(f234(f925(f916(x73961),a913)),x73963),x73964))
% 225.14/225.11 [7534]~P3(x75341)+E(f326(f326(f35(x75341),f326(f326(f243(x75341),x75342),x75343)),f326(f326(f243(x75341),x75344),x75343)),f326(f326(f243(x75341),f326(f326(f35(x75341),x75342),x75344)),x75343))+~P105(f326(f326(f286(x75341),x75344),x75342))
% 225.14/225.11 [7765]~P70(x77651)+E(f326(f326(f79(x77651),f326(x77652,x77653)),f326(f326(f8(a917,x77651),x77652),f326(f301(a917,f326(a112,x77653)),x77654))),f326(f326(f8(a917,x77651),x77652),f326(f301(a917,x77653),x77654)))+~P105(f326(f326(f235(a917),x77653),x77654))
% 225.14/225.11 [7783]E(x77831,x77832)+P105(f326(f326(f172(x77833),x77834),x77832))+~P105(f326(f326(f172(x77833),f326(f326(f151(x77833),x77831),x77834)),x77832))
% 225.14/225.11 [7795]~P108(x77951)+P105(f326(f326(f234(x77951),x77952),x77953))+~P105(f326(f326(f234(x77951),f326(f326(f233(x77951),x77954),x77952)),x77953))
% 225.14/225.11 [7797]~P108(x77971)+P105(f326(f326(f234(x77971),x77972),x77973))+~P105(f326(f326(f234(x77971),f326(f326(f233(x77971),x77972),x77974)),x77973))
% 225.14/225.11 [7799]~P98(x77991)+P105(f326(f326(f234(x77991),x77992),x77993))+~P105(f326(f326(f234(x77991),f326(f326(f101(x77991),x77994),x77992)),x77993))
% 225.14/225.11 [7801]~P98(x78011)+P105(f326(f326(f234(x78011),x78012),x78013))+~P105(f326(f326(f234(x78011),f326(f326(f101(x78011),x78012),x78014)),x78013))
% 225.14/225.11 [7802]~P108(x78021)+P105(f326(f326(f235(x78021),x78022),x78023))+~P105(f326(f326(f235(x78021),f326(f326(f233(x78021),x78024),x78022)),x78023))
% 225.14/225.11 [7803]~P108(x78031)+P105(f326(f326(f235(x78031),x78032),x78033))+~P105(f326(f326(f235(x78031),f326(f326(f233(x78031),x78032),x78034)),x78033))
% 225.14/225.11 [7804]~P120(x78041)+P105(f326(f326(f286(x78041),x78042),x78043))+~P105(f326(f326(f286(x78041),f326(f326(f80(x78041),x78044),x78042)),x78043))
% 225.14/225.11 [7805]~P120(x78051)+P105(f326(f326(f286(x78051),x78052),x78053))+~P105(f326(f326(f286(x78051),f326(f326(f80(x78051),x78052),x78054)),x78053))
% 225.14/225.11 [7881]~P105(f326(f326(f328(x78811),x78812),x78814))+P105(f326(f326(f328(x78811),x78812),x78813))+P105(f326(f326(f328(x78811),x78812),f326(f326(f3(f925(x78811,a913)),x78814),x78813)))
% 225.14/225.11 [7965]P105(f326(x79651,x79652))+P105(f326(x79653,x79652))+~P105(f326(f326(f326(f101(f925(x79654,a913)),x79653),x79651),x79652))
% 225.14/225.11 [7976]~P105(f326(f326(f328(x79761),x79762),x79764))+~P105(f326(f326(f328(x79761),x79762),x79763))+P105(f326(f326(f328(x79761),x79762),f326(f326(f102(f925(x79761,a913)),x79763),x79764)))
% 225.14/225.11 [8023]~P108(x80231)+~P105(f326(f60(x80231),x80234))+E(f326(f326(f63(x80231,x80231,f238(x80231)),x80232),f326(f326(f308(x80231),x80233),x80234)),f326(f326(f238(x80231),x80233),f326(f326(f63(x80231,x80231,f238(x80231)),x80232),x80234)))
% 225.14/225.11 [8024]~P108(x80241)+~P105(f326(f60(x80241),x80244))+E(f326(f326(f63(x80241,x80241,f233(x80241)),x80242),f326(f326(f308(x80241),x80243),x80244)),f326(f326(f233(x80241),x80243),f326(f326(f63(x80241,x80241,f233(x80241)),x80242),x80244)))
% 225.14/225.11 [8025]~P98(x80251)+~P105(f326(f60(x80251),x80254))+E(f326(f326(f63(x80251,x80251,f101(x80251)),x80252),f326(f326(f308(x80251),x80253),x80254)),f326(f326(f101(x80251),x80253),f326(f326(f63(x80251,x80251,f101(x80251)),x80252),x80254)))
% 225.14/225.11 [8026]~P102(x80261)+~P105(f326(f60(x80261),x80264))+E(f326(f326(f63(x80261,x80261,f102(x80261)),x80262),f326(f326(f308(x80261),x80263),x80264)),f326(f326(f102(x80261),x80263),f326(f326(f63(x80261,x80261,f102(x80261)),x80262),x80264)))
% 225.14/225.11 [8028]~P110(x80281)+~P91(x80281)+E(f326(f326(f3(x80281),f326(f326(f80(x80281),f326(f104(x80281),x80282)),x80283)),f326(f326(f80(x80281),f326(f104(x80281),x80282)),x80284)),f326(f326(f80(x80281),f326(f104(x80281),x80282)),f326(f326(f3(x80281),x80283),x80284)))
% 225.14/225.11 [8029]~P139(x80291)+~P91(x80291)+E(f326(f326(f79(x80291),f326(f326(f80(x80291),f326(f104(x80291),x80292)),x80293)),f326(f326(f80(x80291),f326(f104(x80291),x80292)),x80294)),f326(f326(f80(x80291),f326(f104(x80291),x80292)),f326(f326(f79(x80291),x80293),x80294)))
% 225.14/225.11 [8144]E(x81441,x81442)+P105(f326(f326(f328(x81443),x81441),f326(f172(x81443),x81444)))+~P105(f326(f326(f328(x81443),x81441),f326(f172(x81443),f326(f326(f151(x81443),x81442),x81444))))
% 225.14/225.11 [8315]P54(x83151,x83152,x83153)+~P54(x83151,x83152,x83154)+~P105(f326(f326(f234(f925(f924(x83151,x83152),a913)),x83153),x83154))
% 225.14/225.11 [8363]P105(f326(f326(f328(x83631),x83632),x83633))+P105(f326(f326(f328(x83631),x83632),x83634))+~P105(f326(f326(f328(x83631),x83632),f326(f326(f101(f925(x83631,a913)),x83634),x83633)))
% 225.14/225.11 [8373]~P52(x83731,x83734,x83733)+~P105(f326(f326(f328(x83731),x83732),x83734))+P105(f326(f326(f328(f924(x83731,x83731)),f326(f326(f251(x83731,x83731),x83732),x83732)),x83733))
% 225.14/225.11 [8385]~P105(f326(f60(x83852),x83854))+~P105(f326(f60(x83851),x83853))+P105(f326(f60(f924(x83851,x83852)),f326(f326(f253(x83851,x83852),x83853),f326(f18(f925(x83852,a913),x83851),x83854))))
% 225.14/225.11 [8386]~P105(f326(f326(f328(x83861),x83862),x83864))+~P105(f326(f326(f234(f925(x83861,a913)),x83863),x83864))+P105(f326(f326(f234(f925(x83861,a913)),f326(f326(f308(x83861),x83862),x83863)),x83864))
% 225.14/225.11 [8393]~P69(x83932)+~P145(x83932)+E(f326(f326(f11(x83931,x83932),f326(f326(f10(a917,x83932,x83931),f100(x83932)),x83933)),x83934),f326(f100(x83932),f326(f326(f11(x83931,a917),x83933),x83934)))
% 225.14/225.11 [8394]~P69(x83942)+~P141(x83942)+E(f326(f326(f11(x83941,x83942),f326(f326(f10(a1,x83942,x83941),f103(x83942)),x83943)),x83944),f326(f103(x83942),f326(f326(f11(x83941,a1),x83943),x83944)))
% 225.14/225.11 [8418]E(f326(f326(f3(f925(x84181,a913)),x84182),f326(f326(f3(f925(x84181,a913)),x84183),x84184)),x84184)+~P105(f326(f326(f234(f925(x84181,a913)),x84182),x84183))+~P105(f326(f326(f234(f925(x84181,a913)),x84184),x84182))
% 225.14/225.11 [8514]~P105(f326(f60(x85141),x85144))+E(f326(f326(f3(a917),f326(f326(f8(x85141,a917),x85142),x85143)),f326(f326(f8(x85141,a917),x85142),x85144)),f326(f326(f8(x85141,a917),x85142),f326(f326(f3(f925(x85141,a913)),x85143),x85144)))+~P105(f326(f326(f234(f925(x85141,a913)),x85144),x85143))
% 225.14/225.11 [8664]~P8(x86641,x86644,x86643)+~P105(f326(f326(f328(x86641),x86642),x86644))+P105(f326(f326(f328(x86641),x86642),f326(f284(x86641,x86641,x86643),f326(f326(f308(x86641),x86642),f188(f925(x86641,a913))))))
% 225.14/225.11 [8725]~P105(f326(f326(f234(f925(x87251,a913)),x87252),x87253))+~P105(f326(f326(f234(f925(x87251,a913)),x87252),x87254))+P105(f326(f326(f234(f925(x87251,a913)),x87252),f326(f326(f102(f925(x87251,a913)),x87253),x87254)))
% 225.14/225.11 [8827]E(x88271,f188(f925(x88272,a913)))+P105(f326(f60(x88273),x88274))+~P105(f326(f60(f924(x88273,x88272)),f326(f326(f253(x88273,x88272),x88274),f326(f18(f925(x88272,a913),x88273),x88271))))
% 225.14/225.11 [8828]E(x88281,f188(f925(x88282,a913)))+P105(f326(f60(x88283),x88284))+~P105(f326(f60(f924(x88282,x88283)),f326(f326(f253(x88282,x88283),x88281),f326(f18(f925(x88283,a913),x88282),x88284))))
% 225.14/225.11 [8901]P105(f326(f326(f328(x89011),x89012),f315(x89011,x89013)))+~P105(f326(f326(f328(x89011),x89014),f315(x89011,x89013)))+~P105(f326(f326(f328(f924(x89011,x89011)),f326(f326(f251(x89011,x89011),x89012),x89014)),x89013))
% 225.14/225.11 [8958]~P37(x89581,x89584)+P105(f326(f326(f328(f924(x89581,x89581)),f326(f326(f251(x89581,x89581),x89583),x89582)),f306(x89581,x89584)))+P37(x89581,f326(f326(f308(f924(x89581,x89581)),f326(f326(f251(x89581,x89581),x89582),x89583)),x89584))
% 225.14/225.11 [8959]~P57(x89591,x89594)+P105(f326(f326(f328(f924(x89591,x89591)),f326(f326(f251(x89591,x89591),x89593),x89592)),f306(x89591,x89594)))+P57(x89591,f326(f326(f308(f924(x89591,x89591)),f326(f326(f251(x89591,x89591),x89592),x89593)),x89594))
% 225.14/225.11 [9041]~E(x90412,x90413)+~P105(f326(f326(f328(x90411),x90412),f326(f172(x90411),x90414)))+P105(f326(f326(f328(f924(x90411,x90411)),f326(f326(f251(x90411,x90411),x90412),x90413)),f326(f172(f924(x90411,x90411)),f326(f326(f181(x90411,x90411),x90414),x90414))))
% 225.14/225.11 [9129]~E(x91293,x91294)+P105(f326(f326(f256(x91291,x91291,a913),a323),x91292))+~P105(f326(f326(f328(f924(x91291,x91291)),x91292),f326(f172(f924(x91291,x91291)),f326(f326(f181(x91291,x91291),x91293),x91294))))
% 225.14/225.11 [9173]P105(f326(f326(f328(f924(f918(x91731),f918(x91731))),f326(f326(f251(f918(x91731),f918(x91731)),x91732),x91733)),f147(x91731,x91734)))+~E(f326(f326(f175(x91731),f326(f189(f918(x91731)),x91732)),x91733),x91732)+~P105(f326(f326(f235(a917),f326(f189(f918(x91731)),x91732)),f326(f189(f918(x91731)),x91733)))
% 225.14/225.11 [9176]~P51(x91761,x91764)+~P105(f326(f326(f328(f924(x91761,x91761)),f326(f326(f251(x91761,x91761),x91763),x91762)),x91764))+P105(f326(f326(f328(f924(x91761,x91761)),f326(f326(f251(x91761,x91761),x91762),x91763)),x91764))
% 225.14/225.11 [9267]~P105(f326(f60(x92671),x92674))+P105(f326(f326(f328(x92671),f497(x92672,x92673,x92674,x92671)),x92674))+P105(f326(f60(x92673),f326(f326(f38(x92671,f925(x92673,a913)),x92674),x92672)))
% 225.14/225.11 [9268]~P105(f326(f60(x92681),x92684))+P105(f326(f326(f328(x92681),f585(x92682,x92683,x92684,x92681)),x92684))+P105(f326(f60(x92683),f326(f326(f38(x92681,f925(x92683,a913)),x92684),x92682)))
% 225.14/225.11 [9353]P105(f326(f326(f328(f924(x93531,x93531)),x93532),f326(f326(f288(x93531,x93531,x93531),x93533),f306(x93531,x93533))))+~P105(f326(f326(f235(a917),f2(a917)),x93534))+~P105(f326(f326(f328(f924(x93531,x93531)),x93532),f326(f326(f183(f924(x93531,x93531),a913),x93534),x93533)))
% 225.14/225.11 [9361]~P37(x93611,x93612)+~P105(f326(f326(f328(f924(x93611,x93611)),f326(f326(f251(x93611,x93611),x93614),x93613)),x93612))+~P105(f326(f326(f328(f924(x93611,x93611)),f326(f326(f251(x93611,x93611),x93613),x93614)),x93612))
% 225.14/225.11 [9488]~P105(f326(f60(x94881),x94884))+E(f326(f326(f8(x94881,a917),f326(f326(f10(f925(x94882,a913),a917,x94881),f34(x94882)),x94883)),x94884),f326(f34(f924(x94881,x94882)),f326(f326(f253(x94881,x94882),x94884),x94883)))+P105(f326(f326(f328(x94881),f546(x94883,x94882,x94884,x94881)),x94884))
% 225.14/225.11 [9492]~P105(f326(f137(x94921),x94922))+P105(f326(f137(x94921),f326(f326(f159(x94921,x94922),x94923),x94924)))+P105(f326(f326(f328(x94921),x94924),f326(f326(f3(f925(x94921,a913)),f326(f172(x94921),x94922)),f326(f326(f308(x94921),f326(f326(f164(x94921),x94922),x94923)),f188(f925(x94921,a913))))))
% 225.14/225.11 [9509]~P105(f326(f60(x95092),x95093))+~P105(f326(f60(x95091),f326(x95094,f497(x95094,x95091,x95093,x95092))))+P105(f326(f60(x95091),f326(f326(f38(x95092,f925(x95091,a913)),x95093),x95094)))
% 225.14/225.11 [9510]~P105(f326(f60(x95102),x95103))+~P105(f326(f60(x95101),f326(x95104,f585(x95104,x95101,x95103,x95102))))+P105(f326(f60(x95101),f326(f326(f38(x95102,f925(x95101,a913)),x95103),x95104)))
% 225.14/225.11 [9588]~P105(f326(f326(f328(f924(x95881,x95881)),x95882),f326(f326(f288(x95881,x95881,x95881),x95884),f306(x95881,x95884))))+P105(f326(f326(f328(f924(x95881,x95881)),x95882),f326(f326(f288(x95881,x95881,x95881),x95883),f306(x95881,x95883))))+~P105(f326(f326(f234(f925(f924(x95881,x95881),a913)),x95884),x95883))
% 225.14/225.11 [9598]E(f326(f326(f175(x95981),f661(x95984,x95983,x95982,x95981)),x95983),f326(f326(f175(x95981),f661(x95984,x95983,x95982,x95981)),x95982))+~P105(f326(f326(f328(f924(f918(x95981),f918(x95981))),f326(f326(f251(f918(x95981),f918(x95981)),x95982),x95983)),f147(x95981,x95984)))+E(f326(f326(f175(x95981),f326(f189(f918(x95981)),x95982)),x95983),x95982)
% 225.14/225.11 [9614]~P105(f326(f60(x96141),x96144))+E(f326(f326(f8(x96141,a917),f326(f326(f10(f925(x96142,a913),a917,x96141),f34(x96142)),x96143)),x96144),f326(f34(f924(x96141,x96142)),f326(f326(f253(x96141,x96142),x96144),x96143)))+~P105(f326(f60(x96142),f326(x96143,f546(x96143,x96142,x96144,x96141))))
% 225.14/225.11 [9618]~E(f326(f189(f918(x96181)),x96183),f326(f189(f918(x96181)),x96182))+P105(f326(f326(f328(f924(f918(x96181),f918(x96181))),f326(f326(f251(f918(x96181),f918(x96181)),x96182),x96183)),f158(x96181,x96184)))+P105(f326(f326(f328(f924(x96181,x96181)),f666(x96184,x96183,x96182,x96181)),f326(f172(f924(x96181,x96181)),f326(f326(f181(x96181,x96181),x96182),x96183))))
% 225.14/225.11 [9705]~P105(f326(f326(f328(f924(f918(x97051),f918(x97051))),f326(f326(f251(f918(x97051),f918(x97051)),x97052),x97053)),f147(x97051,x97054)))+E(f326(f326(f175(x97051),f326(f189(f918(x97051)),x97052)),x97053),x97052)+P105(f326(f326(f235(a917),f661(x97054,x97053,x97052,x97051)),f326(f326(f238(a917),f326(f189(f918(x97051)),x97052)),f326(f189(f918(x97051)),x97053))))
% 225.14/225.11 [9729]~P105(f326(f326(f328(f924(f918(x97291),f918(x97291))),f326(f326(f251(f918(x97291),f918(x97291)),x97292),x97293)),f147(x97291,x97294)))+P105(f326(f326(f235(a917),f326(f189(f918(x97291)),x97292)),f326(f189(f918(x97291)),x97293)))+P105(f326(f326(f235(a917),f661(x97294,x97293,x97292,x97291)),f326(f326(f238(a917),f326(f189(f918(x97291)),x97292)),f326(f189(f918(x97291)),x97293))))
% 225.14/225.11 [10132]~P105(f326(f326(f328(f924(f918(x101321),f918(x101321))),f326(f326(f251(f918(x101321),f918(x101321)),x101322),x101323)),f147(x101321,x101324)))+E(f326(f326(f175(x101321),f326(f189(f918(x101321)),x101322)),x101323),x101322)+P105(f326(f326(f328(f924(x101321,x101321)),f326(f326(f251(x101321,x101321),f326(f326(f164(x101321),x101322),f661(x101324,x101323,x101322,x101321))),f326(f326(f164(x101321),x101323),f661(x101324,x101323,x101322,x101321)))),x101324))
% 225.14/225.11 [10133]~P105(f326(f326(f328(f924(f918(x101331),f918(x101331))),f326(f326(f251(f918(x101331),f918(x101331)),x101332),x101333)),f147(x101331,x101334)))+P105(f326(f326(f235(a917),f326(f189(f918(x101331)),x101332)),f326(f189(f918(x101331)),x101333)))+P105(f326(f326(f328(f924(x101331,x101331)),f326(f326(f251(x101331,x101331),f326(f326(f164(x101331),x101332),f661(x101334,x101333,x101332,x101331))),f326(f326(f164(x101331),x101333),f661(x101334,x101333,x101332,x101331)))),x101334))
% 225.14/225.11 [10201]~E(f326(f189(f918(x102011)),x102012),f326(f189(f918(x102011)),x102013))+P105(f326(f326(f328(f924(f918(x102011),f918(x102011))),f326(f326(f251(f918(x102011),f918(x102011)),x102012),x102013)),f158(x102011,x102014)))+~P105(f326(f326(f328(f924(x102011,x102011)),f326(f326(f251(x102011,x102011),f326(f326(f164(x102011),x102012),f654(x102014,x102013,x102012,x102011))),f326(f326(f164(x102011),x102013),f654(x102014,x102013,x102012,x102011)))),x102014))
% 225.14/225.11 [10350]~P70(x103501)+~P105(f326(f60(x103502),x103504))+E(f326(f165(x103501),f326(f326(f154(x103502,x103501),x103503),f89(f918(x103502),f326(f326(f20(f918(x103502),a913,a913),f326(f326(f10(a913,f925(a913,a913),f918(x103502)),a324),f326(f326(f9(f918(x103502),f925(x103502,a913),a913),f326(f326(f10(f925(x103502,a913),f925(f925(x103502,a913),a913),f918(x103502)),a323),f172(x103502))),x103504))),f137(x103502))))),f231(x103502,x103501,x103503,x103504))
% 225.14/225.11 [7615]~P61(x76152)+E(x76151,f2(x76152))+E(f326(f326(f290(x76152),f326(f326(f79(x76152),x76153),f326(f326(f80(x76152),x76154),x76151))),x76151),f326(f326(f79(x76152),x76154),f326(f326(f290(x76152),x76153),x76151)))
% 225.14/225.11 [7616]~P3(x76162)+E(x76161,f2(x76162))+E(f326(f326(f35(x76162),f326(f326(f79(x76162),x76163),f326(f326(f80(x76162),x76164),x76161))),x76161),f326(f326(f79(x76162),x76164),f326(f326(f35(x76162),x76163),x76161)))
% 225.14/225.11 [7617]~P3(x76172)+E(x76171,f2(x76172))+E(f326(f326(f35(x76172),f326(f326(f79(x76172),x76173),f326(f326(f80(x76172),x76171),x76174))),x76171),f326(f326(f79(x76172),x76174),f326(f326(f35(x76172),x76173),x76171)))
% 225.14/225.11 [7844]~P62(x78442)+E(x78441,f2(x78442))+E(f326(f326(f290(x78442),f326(f326(f3(x78442),x78443),f326(f326(f80(x78442),x78441),x78444))),x78441),f326(f326(f3(x78442),f326(f326(f290(x78442),x78443),x78441)),x78444))
% 225.14/225.11 [7845]~P61(x78452)+E(x78451,f2(x78452))+E(f326(f326(f290(x78452),f326(f326(f79(x78452),x78453),f326(f326(f80(x78452),x78454),x78451))),x78451),f326(f326(f79(x78452),f326(f326(f290(x78452),x78453),x78451)),x78454))
% 225.14/225.11 [7846]~P62(x78462)+E(x78461,f2(x78462))+E(f326(f326(f290(x78462),f326(f326(f79(x78462),x78463),f326(f326(f80(x78462),x78461),x78464))),x78461),f326(f326(f79(x78462),f326(f326(f290(x78462),x78463),x78461)),x78464))
% 225.14/225.11 [8545]~P105(f326(f160(x85451,x85453),x85454))+~P105(f326(f160(x85451,x85452),x85454))+P105(f326(f160(x85451,f326(f326(f102(f925(x85451,a913)),x85452),x85453)),x85454))
% 225.14/225.11 [8916]~E(f326(f326(f288(x89161,x89161,x89161),x89162),x89164),f188(f925(f924(x89161,x89161),a913)))+~E(f326(f326(f288(x89161,x89161,x89161),x89162),x89163),f188(f925(f924(x89161,x89161),a913)))+E(f326(f326(f288(x89161,x89161,x89161),x89162),f326(f326(f101(f925(f924(x89161,x89161),a913)),x89163),x89164)),f188(f925(f924(x89161,x89161),a913)))
% 225.14/225.11 [9042]~P105(f326(f326(f234(f925(x90421,a913)),x90423),x90424))+~P105(f326(f326(f234(f925(x90421,a913)),x90422),x90424))+P105(f326(f326(f234(f925(x90421,a913)),f326(f326(f101(f925(x90421,a913)),x90422),x90423)),x90424))
% 225.14/225.11 [9416]~P105(f326(f60(x94161),x94164))+~P105(f326(f60(x94161),x94163))+E(f326(f326(f3(a917),f326(f326(f79(a917),f326(f326(f8(x94161,a917),x94162),x94163)),f326(f326(f8(x94161,a917),x94162),x94164))),f326(f326(f8(x94161,a917),x94162),f326(f326(f102(f925(x94161,a913)),x94163),x94164))),f326(f326(f8(x94161,a917),x94162),f326(f326(f101(f925(x94161,a913)),x94163),x94164)))
% 225.14/225.11 [9506]~P105(f326(f326(f328(x95061),x95063),x95062))+~P105(f326(f326(f234(f925(x95061,a913)),x95062),f326(f326(f308(x95061),x95063),x95064)))+P105(f326(f326(f234(f925(x95061,a913)),f326(f326(f3(f925(x95061,a913)),x95062),f326(f326(f308(x95061),x95063),f188(f925(x95061,a913))))),x95064))
% 225.14/225.11 [9680]~P105(f326(f326(f328(x96801),x96803),x96802))+P105(f326(f326(f234(f925(x96801,a913)),x96802),f326(f326(f308(x96801),x96803),x96804)))+~P105(f326(f326(f234(f925(x96801,a913)),f326(f326(f3(f925(x96801,a913)),x96802),f326(f326(f308(x96801),x96803),f188(f925(x96801,a913))))),x96804))
% 225.14/225.11 [9769]~P105(f326(f326(f234(a917),x97691),x97693))+~P105(f326(f326(f235(a917),x97692),x97694))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x97691),x97692)),f326(f326(f251(a917,a917),x97693),x97694))),a32))
% 225.14/225.11 [9770]~P105(f326(f326(f234(a917),x97702),x97704))+~P105(f326(f326(f234(a917),x97701),x97703))+P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),f326(f326(f251(a917,a917),x97701),x97702)),f326(f326(f251(a917,a917),x97703),x97704))),a70))
% 225.14/225.11 [10062]~P105(f326(f326(f328(f918(x100621)),x100624),f161(x100621,x100623)))+~P105(f326(f326(f328(f918(x100621)),x100624),f161(x100621,x100622)))+P105(f326(f160(x100621,f326(f326(f102(f925(x100621,a913)),f326(f326(f9(x100621,f925(x100621,a913),a913),f328(x100621)),x100622)),f326(f326(f9(x100621,f925(x100621,a913),a913),f328(x100621)),x100623))),x100624))
% 225.14/225.11 [10167]~P25(x101671,f925(f925(x101671,a913),a913),f326(f326(f9(x101671,f925(f924(x101671,x101671),a913),f925(f925(x101671,a913),a913)),f326(f326(f10(f925(x101671,a913),f925(f925(f924(x101671,x101671),a913),f925(f925(x101671,a913),a913)),x101671),f59(x101671)),f326(f326(f9(x101671,f925(x101671,a913),f925(x101671,a913)),f308(x101671)),f188(f925(x101671,a913))))),x101673),x101672)+~P105(f326(f326(f328(x101671),x101674),x101672))+E(f326(f326(f3(f925(f925(x101671,a913),a913)),f326(f326(f59(x101671),x101672),x101673)),f326(f326(f59(x101671),f326(f326(f308(x101671),x101674),f188(f925(x101671,a913)))),x101673)),f326(f326(f59(x101671),f326(f326(f3(f925(x101671,a913)),x101672),f326(f326(f308(x101671),x101674),f188(f925(x101671,a913))))),x101673))
% 225.14/225.11 [10304]~P52(x103041,x103042,x103044)+~P105(f326(f326(f328(f924(x103041,x103041)),x103043),x103044))+P105(f326(f326(f256(x103041,x103041,a913),f326(f326(f9(x103041,f925(x103041,a913),f925(x103041,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x103041,a913),f925(x103041,a913)),x103041),f10(a913,a913,x103041)),f326(f326(f10(a913,f925(a913,a913),x103041),a324),f326(f326(f9(x103041,f925(x103041,a913),a913),f328(x103041)),x103042)))),f326(f326(f9(x103041,f925(x103041,a913),a913),f328(x103041)),x103042))),x103043))
% 225.14/225.11 [10318]P105(f326(f60(x103181),x103182))+~P105(f326(f60(x103183),f326(f309(x103181,x103183,x103184),x103182)))+~P105(f326(f60(x103181),f326(f261(x103181),f326(f326(f20(x103181,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103181),a324),f326(f326(f9(x103181,f925(x103181,a913),a913),f328(x103181)),x103182))),f326(f326(f9(x103181,x103183,a913),f326(f326(f10(x103183,f925(x103183,a913),x103181),a323),x103184)),f326(x103184,f578(x103184,x103183,x103182,x103181)))))))
% 225.14/225.11 [8299]~P62(x82992)+E(x82991,f2(x82992))+E(f326(f326(f290(x82992),f326(f326(f3(x82992),f326(f326(f80(x82992),x82991),x82993)),x82994)),x82991),f326(f326(f3(x82992),x82993),f326(f326(f290(x82992),x82994),x82991)))
% 225.14/225.11 [8300]~P62(x83002)+E(x83001,f2(x83002))+E(f326(f326(f290(x83002),f326(f326(f79(x83002),f326(f326(f80(x83002),x83001),x83003)),x83004)),x83001),f326(f326(f79(x83002),x83003),f326(f326(f290(x83002),x83004),x83001)))
% 225.14/225.11 [9202]~E(f326(f326(f288(x92021,x92021,x92021),x92023),x92024),f188(f925(f924(x92021,x92021),a913)))+~E(f326(f326(f288(x92021,x92021,x92021),x92022),x92024),f188(f925(f924(x92021,x92021),a913)))+E(f326(f326(f288(x92021,x92021,x92021),f326(f326(f101(f925(f924(x92021,x92021),a913)),x92022),x92023)),x92024),f188(f925(f924(x92021,x92021),a913)))
% 225.14/225.11 [9978]~P105(f326(f160(x99781,x99783),x99784))+~P105(f326(f160(x99781,x99782),x99784))+P105(f326(f160(x99781,f326(f326(f20(x99781,a913,a913),f326(f326(f10(a913,f925(a913,a913),x99781),a324),x99782)),x99783)),x99784))
% 225.14/225.11 [10240]P105(f326(x102401,f560(x102402,x102403,x102401,x102404)))+~P105(f326(f60(x102404),f326(f261(x102404),x102401)))+P105(f326(f60(x102403),f326(f261(x102403),f326(f326(f10(f925(x102404,a913),a913,x102403),f86(x102404)),f326(f326(f10(f925(x102404,a913),f925(x102404,a913),x102403),f326(f20(x102404,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102404),a324),x102401))),x102402)))))
% 225.14/225.11 [10258]~P105(f326(f60(x102582),f326(f261(x102582),x102583)))+~P105(f326(f60(x102581),f326(f261(x102581),f326(f326(f9(x102581,x102582,a913),x102584),f560(x102584,x102581,x102583,x102582)))))+P105(f326(f60(x102581),f326(f261(x102581),f326(f326(f10(f925(x102582,a913),a913,x102581),f86(x102582)),f326(f326(f10(f925(x102582,a913),f925(x102582,a913),x102581),f326(f20(x102582,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102582),a324),x102583))),x102584)))))
% 225.14/225.11 [10329]~P105(f326(f60(x103291),x103294))+P105(f326(f326(f328(x103291),f794(x103292,x103293,x103294,x103291)),x103294))+P105(f326(f60(x103293),f326(f261(x103293),f326(f326(f10(f925(x103291,a913),a913,x103293),f86(x103291)),f326(f326(f10(f925(x103291,a913),f925(x103291,a913),x103293),f326(f20(x103291,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103291),a324),f326(f326(f9(x103291,f925(x103291,a913),a913),f328(x103291)),x103294)))),x103292)))))
% 225.14/225.11 [10335]~P105(f326(f60(x103352),x103353))+~P105(f326(f60(x103351),f326(f261(x103351),f326(f326(f9(x103351,x103352,a913),x103354),f794(x103354,x103351,x103353,x103352)))))+P105(f326(f60(x103351),f326(f261(x103351),f326(f326(f10(f925(x103352,a913),a913,x103351),f86(x103352)),f326(f326(f10(f925(x103352,a913),f925(x103352,a913),x103351),f326(f20(x103352,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103352),a324),f326(f326(f9(x103352,f925(x103352,a913),a913),f328(x103352)),x103353)))),x103354)))))
% 225.14/225.11 [5221]~E(x52212,x52214)+E(f169(x52211,x52212,x52213),f169(x52211,x52214,x52215))+~E(x52212,f2(a917))
% 225.14/225.11 [5473]E(x54731,x54732)+~E(f169(x54734,x54733,x54731),f169(x54734,x54735,x54732))+E(x54733,f2(a917))
% 225.14/225.11 [6745]E(x67451,x67452)+~E(f326(x67453,x67451),f326(x67453,x67452))+~P25(x67454,x67455,x67453,f241(f925(x67454,a913)))
% 225.14/225.11 [7647]E(x76471,x76472)+~P25(x76473,x76474,x76475,f241(f925(x76473,a913)))+~E(f326(f309(x76473,x76474,x76475),x76471),f326(f309(x76473,x76474,x76475),x76472))
% 225.14/225.11 [7899]P25(x78992,x78993,f484(x78994,x78993,x78992,x78991),x78991)+~E(f326(f309(x78993,x78992,x78995),x78994),x78991)+E(x78991,f188(f925(x78992,a913)))
% 225.14/225.11 [8429]~P105(f326(f326(x84293,x84292),x84295))+~P105(f326(f326(x84293,x84294),x84292))+P105(f326(f326(f328(x84291),x84292),f298(x84291,x84293,x84294,x84295)))
% 225.14/225.11 [8430]~P105(f326(f326(x84303,x84302),x84305))+~P105(f326(f326(x84303,x84304),x84302))+P105(f326(f326(f328(x84301),x84302),f289(x84301,x84303,x84304,x84305)))
% 225.14/225.11 [8733]~P25(x87331,x87332,x87333,x87334)+P26(x87331,x87332,x87333,x87334,x87335)+~E(f326(f309(x87331,x87332,x87333),x87334),x87335)
% 225.14/225.11 [8866]~P26(x88661,x88663,x88664,x88662,x88665)+~P105(f326(f60(x88663),x88665))+P105(f326(f60(x88661),x88662))
% 225.14/225.11 [8867]~P26(x88673,x88671,x88674,x88675,x88672)+~P105(f326(f60(x88673),x88675))+P105(f326(f60(x88671),x88672))
% 225.14/225.11 [8999]~P25(x89991,x89993,x89995,f241(f925(x89991,a913)))+~P25(x89993,x89992,x89994,f241(f925(x89993,a913)))+P25(x89991,x89992,f326(f72(x89993,x89992,x89991,x89994),x89995),f241(f925(x89991,a913)))
% 225.14/225.11 [9565]P105(f326(f326(f328(f924(x95651,x95651)),f326(f326(f251(x95651,x95651),x95652),x95653)),f306(x95651,x95654)))+~P105(f326(f326(f328(f924(x95651,x95651)),f326(f326(f251(x95651,x95651),x95652),x95655)),f306(x95651,x95654)))+~P105(f326(f326(f328(f924(x95651,x95651)),f326(f326(f251(x95651,x95651),x95655),x95653)),f306(x95651,x95654)))
% 225.14/225.11 [9605]~P108(x96052)+~P105(f326(f137(x96051),x96055))+P105(f326(f137(x96051),f149(x96051,x96052,x96053,x96054,x96055)))
% 225.14/225.11 [5549]~E(x55492,f113(x55491))+E(f326(f326(f134(x55491),x55492),x55493),f326(f326(f151(x55491),x55494),x55495))+~E(x55493,f326(f326(f151(x55491),x55494),x55495))
% 225.14/225.11 [5550]~E(x55502,f113(x55501))+E(f326(f326(f134(x55501),x55502),x55503),f326(f326(f151(x55501),x55504),x55505))+~E(f326(f326(f151(x55501),x55504),x55505),x55503)
% 225.14/225.11 [6701]~E(f326(f189(f918(x67011)),x67015),f326(f189(f918(x67012)),x67014))+E(f326(f326(f154(f924(x67011,x67012),x67012),f255(x67011,x67012)),x67013),x67014)+~E(f326(f326(f181(x67011,x67012),x67015),x67014),x67013)
% 225.14/225.11 [6702]~E(f326(f189(f918(x67021)),x67024),f326(f189(f918(x67022)),x67025))+E(f326(f326(f154(f924(x67021,x67022),x67021),f250(x67021,x67022)),x67023),x67024)+~E(f326(f326(f181(x67021,x67022),x67024),x67025),x67023)
% 225.14/225.11 [7180]~P108(x71801)+~P13(x71801,f326(f326(f154(x71802,x71801),x71803),x71805))+P13(x71801,f326(f326(f154(x71802,x71801),x71803),f326(f136(x71802,x71804),x71805)))
% 225.14/225.11 [7222]~P105(f326(x72223,x72225))+~P105(f326(f326(x72222,x72224),x72225))+P105(f326(f326(f92(x72221,x72222,x72223),x72224),x72225))
% 225.14/225.11 [7322]~P108(x73221)+P13(x73221,f326(f326(f154(x73222,x73221),x73223),f170(x73222,x73224,x73225)))+~P13(x73221,f326(f326(f154(x73222,x73221),x73223),x73225))
% 225.14/225.11 [7345]~P54(x73453,x73452,x73455)+~P54(x73451,x73453,x73454)+P54(x73451,x73452,f326(f326(f288(x73451,x73453,x73452),x73454),x73455))
% 225.14/225.11 [7442]E(x74421,x74422)+~P25(x74423,x74424,x74425,f241(f925(x74423,a913)))+~E(f326(f326(f154(x74423,x74424),x74425),x74421),f326(f326(f154(x74423,x74424),x74425),x74422))
% 225.14/225.11 [7601]~P105(f326(f326(f234(a917),x76011),f326(x76013,x76015)))+P105(f326(f326(f234(a917),x76011),f155(x76012,x76013,x76014)))+~P105(f326(f326(f328(x76012),x76015),f326(f172(x76012),x76014)))
% 225.14/225.11 [7602]~P105(f326(f326(f235(a917),x76021),f326(x76023,x76025)))+P105(f326(f326(f235(a917),x76021),f155(x76022,x76023,x76024)))+~P105(f326(f326(f328(x76022),x76025),f326(f172(x76022),x76024)))
% 225.14/225.11 [7995]P105(f326(x79951,x79952))+~P105(f326(x79951,x79953))+~P105(f326(f326(f328(x79954),x79952),f326(f172(x79954),f169(x79954,x79955,x79953))))
% 225.14/225.11 [7996]P105(f326(x79961,x79962))+~P105(f326(x79961,x79963))+~P105(f326(f326(f328(x79964),x79963),f326(f172(x79964),f169(x79964,x79965,x79962))))
% 225.14/225.11 [8000]~P109(x80001)+P105(f326(f326(f234(f925(x80001,a913)),f302(x80001,x80002,x80003)),f302(x80001,x80004,x80005)))+P105(f326(f326(f234(x80001),x80002),x80003))
% 225.14/225.11 [8021]~P5(x80211)+P105(f326(f326(f234(x80211),f326(f326(f39(x80212,x80211),x80213),x80214)),f326(x80214,x80215)))+~P105(f326(f326(f328(x80212),x80215),x80213))
% 225.14/225.11 [8090]~P25(x80901,x80902,x80904,x80903)+E(f326(f76(x80901,x80902,x80903,x80904),f326(x80904,x80905)),x80905)+~P105(f326(f326(f328(x80901),x80905),x80903))
% 225.14/225.11 [8091]~P25(x80911,x80912,x80914,x80913)+E(f326(f90(x80911,x80912,x80913,x80914),f326(x80914,x80915)),x80915)+~P105(f326(f326(f328(x80911),x80915),x80913))
% 225.14/225.11 [8288]~P105(f326(x82881,x82885))+P105(f326(x82881,f422(x82881,x82882,x82883,x82884)))+~P105(f326(f326(f328(x82884),x82885),x82883))
% 225.14/225.11 [8289]~P105(f326(x82891,x82895))+P105(f326(x82891,f422(x82891,x82892,x82893,x82894)))+~P105(f326(f326(f328(x82894),x82895),x82892))
% 225.14/225.11 [8383]P105(f326(f60(x83831),x83832))+~P105(f326(f60(x83833),x83834))+~P105(f326(f326(f234(f925(x83831,a913)),x83832),f326(f309(x83833,x83831,x83835),x83834)))
% 225.14/225.11 [8549]E(x85491,x85492)+~P25(x85493,x85494,x85495,f326(f326(f101(f925(x85493,a913)),f326(f172(x85493),x85491)),f326(f172(x85493),x85492)))+~E(f326(f326(f154(x85493,x85494),x85495),x85491),f326(f326(f154(x85493,x85494),x85495),x85492))
% 225.14/225.11 [8602]~P109(x86021)+~P105(f326(f326(f235(f925(x86021,a913)),f302(x86021,x86024,x86025)),f302(x86021,x86022,x86023)))+P105(f326(f326(f234(x86021),x86022),x86023))
% 225.14/225.11 [8663]~P25(x86631,x86634,x86635,f241(f925(x86631,a913)))+~P105(f326(f326(f328(x86634),f326(x86635,x86632)),f326(f309(x86631,x86634,x86635),x86633)))+P105(f326(f326(f328(x86631),x86632),x86633))
% 225.14/225.11 [8739]P105(f326(x87391,x87392))+~P105(f326(x87391,f427(x87391,x87393,x87394,x87395)))+~P105(f326(f326(f328(x87395),x87392),x87394))
% 225.14/225.11 [8740]P105(f326(x87401,x87402))+~P105(f326(x87401,f427(x87401,x87403,x87404,x87405)))+~P105(f326(f326(f328(x87405),x87402),x87403))
% 225.14/225.11 [9039]~P25(x90392,x90393,x90391,x90394)+E(f326(x90391,f326(f76(x90392,x90393,x90394,x90391),x90395)),x90395)+~P105(f326(f326(f328(x90393),x90395),f326(f309(x90392,x90393,x90391),x90394)))
% 225.14/225.11 [9142]E(x91421,f113(x91422))+E(f326(f326(f151(x91422),x91423),f679(x91424,x91423,x91425,x91421,x91422)),x91421)+~E(f326(f326(f134(x91422),x91421),x91425),f326(f326(f151(x91422),x91423),x91424))
% 225.14/225.11 [9143]E(x91431,f113(x91432))+E(f326(f326(f151(x91432),x91433),f680(x91434,x91431,x91435,x91433,x91432)),x91431)+~E(f326(f326(f134(x91432),x91431),x91434),f326(f326(f151(x91432),x91433),x91435))
% 225.14/225.11 [9161]E(f326(f326(f151(x91612),x91613),f679(x91614,x91613,x91611,x91615,x91612)),x91615)+~E(f326(f326(f134(x91612),x91615),x91611),f326(f326(f151(x91612),x91613),x91614))+E(x91611,f326(f326(f151(x91612),x91613),x91614))
% 225.14/225.11 [9162]E(f326(f326(f151(x91621),x91622),f680(x91624,x91625,x91623,x91622,x91621)),x91625)+~E(f326(f326(f134(x91621),x91625),x91624),f326(f326(f151(x91621),x91622),x91623))+E(f326(f326(f151(x91621),x91622),x91623),x91624)
% 225.14/225.11 [9238]~E(f326(f309(x92383,x92382,x92384),f241(f925(x92383,a913))),f241(f925(x92382,a913)))+~E(f326(f309(x92381,x92383,x92385),f241(f925(x92381,a913))),f241(f925(x92383,a913)))+E(f326(f309(x92381,x92382,f326(f72(x92383,x92382,x92381,x92384),x92385)),f241(f925(x92381,a913))),f241(f925(x92382,a913)))
% 225.14/225.11 [9611]E(x96111,f113(x96112))+~E(f326(f326(f134(x96112),x96111),x96113),f326(f326(f151(x96112),x96115),x96114))+E(f326(f326(f134(x96112),f680(x96113,x96111,x96114,x96115,x96112)),x96113),x96114)
% 225.14/225.11 [9612]E(x96121,f113(x96122))+~E(f326(f326(f134(x96122),x96121),x96125),f326(f326(f151(x96122),x96124),x96123))+E(f326(f326(f134(x96122),f679(x96123,x96124,x96125,x96121,x96122)),x96125),x96123)
% 225.14/225.11 [9619]E(f326(f326(f134(x96192),f679(x96194,x96193,x96191,x96195,x96192)),x96191),x96194)+~E(f326(f326(f134(x96192),x96195),x96191),f326(f326(f151(x96192),x96193),x96194))+E(x96191,f326(f326(f151(x96192),x96193),x96194))
% 225.14/225.11 [9620]~E(f326(f326(f134(x96201),x96205),x96204),f326(f326(f151(x96201),x96202),x96203))+E(f326(f326(f134(x96201),f680(x96204,x96205,x96203,x96202,x96201)),x96204),x96203)+E(f326(f326(f151(x96201),x96202),x96203),x96204)
% 225.14/225.11 [9621]E(f326(f326(f134(x96211),x96215),f682(x96213,x96212,x96214,x96215,x96211)),x96212)+E(f326(f326(f134(x96211),x96212),f681(x96213,x96212,x96214,x96215,x96211)),x96215)+~E(f326(f326(f134(x96211),x96215),x96214),f326(f326(f134(x96211),x96212),x96213))
% 225.14/225.11 [9658]~P108(x96581)+P13(x96581,f326(f326(f154(x96582,x96581),x96583),f149(x96582,x96581,x96583,x96584,x96585)))+~P13(x96581,f326(f326(f154(x96582,x96581),x96583),x96585))
% 225.14/225.11 [9675]~P58(x96755,x96751,x96754,x96753)+P105(f326(f326(x96751,x96752),f534(x96753,x96754,x96751,x96755,x96752)))+~P105(f326(f326(f328(x96755),x96752),x96754))
% 225.14/225.11 [9676]~P58(x96765,x96761,x96764,x96763)+P105(f326(f326(x96761,x96762),f800(x96763,x96764,x96761,x96765,x96762)))+~P105(f326(f326(f328(x96765),x96762),x96764))
% 225.14/225.11 [9781]~P105(f326(f326(f328(f924(x97811,x97811)),f326(f326(f251(x97811,x97811),x97815),x97813)),f306(x97811,x97814)))+P105(f326(f326(f328(f924(x97811,x97811)),f326(f326(f251(x97811,x97811),x97812),x97813)),f326(f326(f288(x97811,x97811,x97811),x97814),f306(x97811,x97814))))+~P105(f326(f326(f328(f924(x97811,x97811)),f326(f326(f251(x97811,x97811),x97812),x97815)),f326(f326(f288(x97811,x97811,x97811),x97814),f306(x97811,x97814))))
% 225.14/225.11 [9782]~P105(f326(f326(f328(f924(x97821,x97821)),f326(f326(f251(x97821,x97821),x97822),x97825)),f306(x97821,x97824)))+P105(f326(f326(f328(f924(x97821,x97821)),f326(f326(f251(x97821,x97821),x97822),x97823)),f326(f326(f288(x97821,x97821,x97821),x97824),f306(x97821,x97824))))+~P105(f326(f326(f328(f924(x97821,x97821)),f326(f326(f251(x97821,x97821),x97825),x97823)),f326(f326(f288(x97821,x97821,x97821),x97824),f306(x97821,x97824))))
% 225.14/225.11 [9784]P105(f326(f326(f328(f924(f918(x97841),f918(x97841))),f326(f326(f251(f918(x97841),f918(x97841)),x97842),x97843)),f158(x97841,f306(x97841,x97844))))+~P105(f326(f326(f328(f924(f918(x97841),f918(x97841))),f326(f326(f251(f918(x97841),f918(x97841)),x97842),x97845)),f158(x97841,f306(x97841,x97844))))+~P105(f326(f326(f328(f924(f918(x97841),f918(x97841))),f326(f326(f251(f918(x97841),f918(x97841)),x97845),x97843)),f158(x97841,f306(x97841,x97844))))
% 225.14/225.11 [9788]E(f326(f326(f134(x97881),x97882),f681(x97883,x97882,x97884,x97885,x97881)),x97885)+E(f326(f326(f134(x97881),f682(x97883,x97882,x97884,x97885,x97881)),x97883),x97884)+~E(f326(f326(f134(x97881),x97882),x97883),f326(f326(f134(x97881),x97885),x97884))
% 225.14/225.11 [9789]E(f326(f326(f134(x97891),x97892),f682(x97893,x97894,x97895,x97892,x97891)),x97894)+E(f326(f326(f134(x97891),f681(x97893,x97894,x97895,x97892,x97891)),x97895),x97893)+~E(f326(f326(f134(x97891),x97892),x97895),f326(f326(f134(x97891),x97894),x97893))
% 225.14/225.11 [9843]P105(f326(f326(f328(f924(x98431,x98431)),f326(f326(f251(x98431,x98431),x98432),x98433)),f326(f326(f288(x98431,x98431,x98431),x98434),f306(x98431,x98434))))+~P105(f326(f326(f328(f924(x98431,x98431)),f326(f326(f251(x98431,x98431),x98432),x98435)),f326(f326(f288(x98431,x98431,x98431),x98434),f306(x98431,x98434))))+~P105(f326(f326(f328(f924(x98431,x98431)),f326(f326(f251(x98431,x98431),x98435),x98433)),f326(f326(f288(x98431,x98431,x98431),x98434),f306(x98431,x98434))))
% 225.14/225.11 [9870]P34(x98701,x98702,x98703,x98704,x98705)+~E(f326(f189(f918(x98701)),x98704),f326(f189(f918(x98702)),x98705))+~P105(f326(f326(f256(x98701,x98702,a913),x98703),f700(x98705,x98704,x98703,x98702,x98701)))
% 225.14/225.11 [9871]P34(x98711,x98712,x98713,x98714,x98715)+~E(f326(f189(f918(x98711)),x98714),f326(f189(f918(x98712)),x98715))+~P105(f326(f326(f256(x98711,x98712,a913),x98713),f701(x98713,x98715,x98714,x98712,x98711)))
% 225.14/225.11 [9877]E(f326(f326(f134(x98771),f681(x98772,x98773,x98774,x98775,x98771)),x98774),x98772)+~E(f326(f326(f134(x98771),x98773),x98772),f326(f326(f134(x98771),x98775),x98774))+E(f326(f326(f134(x98771),f682(x98772,x98773,x98774,x98775,x98771)),x98772),x98774)
% 225.14/225.11 [9892]~P108(x98922)+E(f326(f326(f148(x98921,x98922,x98923),x98924),x98925),f326(f326(f151(x98921),x98924),x98925))+P105(f326(f326(f328(x98921),f745(x98924,x98923,x98925,x98921,x98922)),f326(f172(x98921),x98925)))
% 225.14/225.11 [9896]~P58(x98961,x98964,x98963,x98962)+~P105(f326(f326(f328(x98961),x98965),x98963))+P105(f326(f326(f328(x98961),f534(x98962,x98963,x98964,x98961,x98965)),x98962))
% 225.14/225.11 [9897]~P58(x98971,x98974,x98973,x98972)+~P105(f326(f326(f328(x98971),x98975),x98973))+P105(f326(f326(f328(x98971),f800(x98972,x98973,x98974,x98971,x98975)),x98972))
% 225.14/225.11 [10011]~P105(f326(f326(f328(f924(f925(x100111,a913),f925(x100111,a913))),f326(f326(f251(f925(x100111,a913),f925(x100111,a913)),x100114),x100113)),f317(x100111,x100112)))+~P105(f326(f326(f328(x100111),x100115),x100114))+P105(f326(f326(f328(x100111),f478(x100112,x100113,x100114,x100111,x100115)),x100113))
% 225.14/225.11 [10021]~P108(x100212)+E(f326(f326(f148(x100211,x100212,x100213),x100214),x100215),f326(f326(f151(x100211),x100214),x100215))+~P105(f326(f326(f234(x100212),f326(x100213,x100214)),f326(x100213,f745(x100214,x100213,x100215,x100211,x100212))))
% 225.14/225.11 [10071]~P25(x100713,x100714,x100715,f241(f925(x100713,a913)))+P105(f326(x100711,x100712))+~P105(f326(x100711,f326(f90(x100713,x100714,f241(f925(x100713,a913)),x100715),f812(x100712,x100711,x100715,x100714,x100713))))
% 225.14/225.11 [10218]P34(x102181,x102182,x102183,x102184,x102185)+~E(f326(f189(f918(x102181)),x102184),f326(f189(f918(x102182)),x102185))+~P105(f326(f326(x102183,f326(f326(f164(x102181),x102184),f702(x102185,x102184,x102183,x102182,x102181))),f326(f326(f164(x102182),x102185),f702(x102185,x102184,x102183,x102182,x102181))))
% 225.14/225.11 [10219]P34(x102191,x102192,x102193,x102194,x102195)+~E(f326(f189(f918(x102191)),x102194),f326(f189(f918(x102192)),x102195))+~P105(f326(f326(x102193,f326(f326(f164(x102191),x102194),f737(x102193,x102195,x102192,x102194,x102191))),f326(f326(f164(x102192),x102195),f737(x102193,x102195,x102192,x102194,x102191))))
% 225.14/225.11 [6775]~P17(x67752,x67755,x67751)+~P105(f326(f60(x67752),x67754))+E(f326(x67751,f326(f326(f308(x67752),x67753),x67754)),f326(f326(f63(x67752,x67752,x67755),x67753),x67754))
% 225.14/225.11 [6776]~E(x67763,x67764)+~E(x67762,x67765)+E(f326(f326(f308(x67761),x67762),f326(f326(f308(x67761),x67763),f188(f925(x67761,a913)))),f326(f326(f308(x67761),x67764),f326(f326(f308(x67761),x67765),f188(f925(x67761,a913)))))
% 225.14/225.11 [6787]P105(f326(x67872,x67875))+E(f177(x67871,x67872,f326(f326(f134(x67871),x67873),x67874)),f177(x67871,x67872,x67873))+~P105(f326(f326(f328(x67871),x67875),f326(f172(x67871),x67873)))
% 225.14/225.11 [6825]E(f326(x68251,x68252),f188(f925(x68253,a913)))+~E(f326(f326(f38(x68254,f925(x68253,a913)),x68255),x68251),f188(f925(x68253,a913)))+~P105(f326(f326(f328(x68254),x68252),x68255))
% 225.14/225.11 [6826]E(f326(x68261,x68262),f241(f925(x68263,a913)))+~E(f326(f326(f39(x68264,f925(x68263,a913)),x68265),x68261),f241(f925(x68263,a913)))+~P105(f326(f326(f328(x68264),x68262),x68265))
% 225.14/225.11 [7332]~E(x73322,x73324)+~P143(x73321)+E(f326(f326(f79(x73321),f326(f326(f80(x73321),x73322),x73323)),f326(f326(f80(x73321),x73324),x73325)),f326(f326(f79(x73321),f326(f326(f80(x73321),x73322),x73325)),f326(f326(f80(x73321),x73324),x73323)))
% 225.14/225.11 [7394]~P5(x73941)+~P105(f326(f326(f328(x73944),x73943),x73945))+P105(f326(f326(f234(x73941),f326(x73942,x73943)),f326(f326(f38(x73944,x73941),x73945),x73942)))
% 225.14/225.11 [7447]~P107(x74471)+P105(f326(f326(f234(x74471),f326(x74472,x74473)),f326(x74474,x74473)))+~P105(f326(f326(f234(f925(x74475,x74471)),x74472),x74474))
% 225.14/225.11 [7571]E(x75711,x75712)+E(x75713,x75711)+~E(f326(f326(f308(x75714),x75711),f326(f326(f308(x75714),x75715),f188(f925(x75714,a913)))),f326(f326(f308(x75714),x75712),f326(f326(f308(x75714),x75713),f188(f925(x75714,a913)))))
% 225.14/225.11 [7572]E(x75721,x75722)+E(x75723,x75721)+~E(f326(f326(f308(x75724),x75723),f326(f326(f308(x75724),x75722),f188(f925(x75724,a913)))),f326(f326(f308(x75724),x75725),f326(f326(f308(x75724),x75721),f188(f925(x75724,a913)))))
% 225.14/225.11 [7573]E(x75731,x75732)+E(x75731,x75733)+~E(f326(f326(f308(x75734),x75733),f326(f326(f308(x75734),x75732),f188(f925(x75734,a913)))),f326(f326(f308(x75734),x75735),f326(f326(f308(x75734),x75731),f188(f925(x75734,a913)))))
% 225.14/225.11 [7574]E(x75741,x75742)+E(x75741,x75743)+~E(f326(f326(f308(x75744),x75741),f326(f326(f308(x75744),x75745),f188(f925(x75744,a913)))),f326(f326(f308(x75744),x75742),f326(f326(f308(x75744),x75743),f188(f925(x75744,a913)))))
% 225.14/225.11 [8100]P25(x81001,x81002,x81003,x81004)+~P25(x81001,x81002,x81003,x81005)+~P105(f326(f326(f234(f925(x81001,a913)),x81004),x81005))
% 225.14/225.11 [8130]~E(f326(x81303,x81305),x81304)+~P25(x81301,x81302,x81303,f241(f925(x81301,a913)))+E(f326(f90(x81301,x81302,f241(f925(x81301,a913)),x81303),x81304),x81305)
% 225.14/225.11 [8277]E(x82771,x82772)+~E(f326(f309(x82773,x82774,x82775),x82771),f326(f309(x82773,x82774,x82775),x82772))+~P25(x82773,x82774,x82775,f326(f326(f101(f925(x82773,a913)),x82771),x82772))
% 225.14/225.11 [8353]P105(f326(x83532,x83534))+E(f326(f326(f138(x83531),f326(f189(f918(x83531)),f177(x83531,x83532,x83533))),x83533),f326(f326(f151(x83531),x83534),x83535))+~E(f326(f326(f134(x83531),f177(x83531,x83532,x83533)),f326(f326(f151(x83531),x83534),x83535)),x83533)
% 225.14/225.11 [8381]~P25(x83811,x83812,x83813,x83815)+~P25(x83811,x83812,x83813,x83814)+P25(x83811,x83812,x83813,f326(f326(f102(f925(x83811,a913)),x83814),x83815))
% 225.14/225.11 [8488]~P70(x84881)+E(f326(f326(f79(x84881),f326(x84882,x84883)),f326(f165(x84881),f326(f326(f154(x84884,x84881),x84882),f170(x84884,x84883,x84885)))),f326(f165(x84881),f326(f326(f154(x84884,x84881),x84882),x84885)))+~P105(f326(f326(f328(x84884),x84883),f326(f172(x84884),x84885)))
% 225.14/225.11 [8575]~P108(x85751)+~P13(x85751,f326(f326(f154(x85752,x85751),x85753),x85755))+P13(x85751,f326(f326(f154(x85752,x85751),x85753),f326(f326(f148(x85752,x85751,x85753),x85754),x85755)))
% 225.14/225.11 [8659]~P5(x86591)+P105(f326(f326(f234(x86591),f326(f326(f38(x86592,x86591),x86593),x86594)),f326(f326(f38(x86592,x86591),x86595),x86594)))+~P105(f326(f326(f234(f925(x86592,a913)),x86593),x86595))
% 225.14/225.11 [8660]~P5(x86601)+P105(f326(f326(f234(x86601),f326(f326(f39(x86602,x86601),x86603),x86604)),f326(f326(f39(x86602,x86601),x86605),x86604)))+~P105(f326(f326(f234(f925(x86602,a913)),x86605),x86603))
% 225.14/225.11 [8693]~P108(x86933)+P105(f326(f137(x86931),x86932))+~P105(f326(f137(x86931),f326(f326(f148(x86931,x86933,x86934),x86935),x86932)))
% 225.14/225.11 [8838]~P108(x88381)+~P105(f326(f326(f328(x88382),x88383),f326(f172(x88382),x88384)))+~P105(f326(f137(x88382),f326(f326(f148(x88382,x88381,x88385),x88383),x88384)))
% 225.14/225.11 [8928]~P108(x89281)+P13(x89281,f326(f326(f154(x89282,x89281),x89283),x89284))+~P13(x89281,f326(f326(f154(x89282,x89281),x89283),f326(f326(f148(x89282,x89281,x89283),x89285),x89284)))
% 225.14/225.11 [8974]~P25(x89742,x89741,x89744,x89743)+E(f326(f309(x89741,x89742,f90(x89742,x89741,x89743,x89744)),f326(f309(x89742,x89741,x89744),x89745)),x89745)+~P105(f326(f326(f234(f925(x89742,a913)),x89745),x89743))
% 225.14/225.11 [9027]~P108(x90272)+E(f326(f326(f148(x90271,x90272,x90273),x90274),x90275),f149(x90271,x90272,x90273,x90274,x90275))+P105(f326(f326(f328(x90272),f326(x90273,x90274)),f326(f309(x90271,x90272,x90273),f326(f172(x90271),x90275))))
% 225.14/225.11 [9108]~P108(x91082)+E(f149(x91081,x91082,x91083,x91084,x91085),x91085)+~P105(f326(f326(f328(x91082),f326(x91083,x91084)),f326(f309(x91081,x91082,x91083),f326(f172(x91081),x91085))))
% 225.14/225.11 [9122]~P25(x91222,x91221,x91223,x91225)+P105(f326(f326(f235(f925(x91221,a913)),f326(f309(x91222,x91221,x91223),x91224)),f326(f309(x91222,x91221,x91223),x91225)))+~P105(f326(f326(f235(f925(x91222,a913)),x91224),x91225))
% 225.14/225.11 [9279]~P25(x92791,x92792,x92793,f241(f925(x92791,a913)))+~P105(f326(f326(f234(f925(x92792,a913)),x92794),f326(f309(x92791,x92792,x92793),x92795)))+P105(f326(f326(f234(f925(x92791,a913)),f326(f310(x92791,x92792,x92793),x92794)),x92795))
% 225.14/225.11 [9302]~E(f326(f309(x93023,x93021,x93024),f241(f925(x93023,a913))),f241(f925(x93021,a913)))+P105(f326(f326(f234(f925(x93021,a913)),x93022),f326(f309(x93023,x93021,x93024),x93025)))+~P105(f326(f326(f234(f925(x93023,a913)),f326(f310(x93023,x93021,x93024),x93022)),x93025))
% 225.14/225.11 [9408]~P25(x94081,x94084,x94085,f241(f925(x94081,a913)))+~P105(f326(f326(f234(f925(x94084,a913)),f326(f309(x94081,x94084,x94085),x94082)),f326(f309(x94081,x94084,x94085),x94083)))+P105(f326(f326(f234(f925(x94081,a913)),x94082),x94083))
% 225.14/225.11 [9533]~P80(x95331)+~E(f326(x95333,f721(x95333,x95334,x95335,x95332,x95331)),f2(x95331))+E(f326(f165(x95331),f326(f326(f154(x95332,x95331),x95333),f326(f136(x95332,x95334),x95335))),f326(f165(x95331),f326(f326(f154(x95332,x95331),x95333),x95335)))
% 225.14/225.11 [9560]~P26(x95601,x95602,x95603,f241(f925(x95601,a913)),f241(f925(x95602,a913)))+~P105(f326(f326(f234(f925(x95602,a913)),x95604),f326(f309(x95601,x95602,x95603),x95605)))+P105(f326(f326(f234(f925(x95601,a913)),f326(f310(x95601,x95602,x95603),x95604)),x95605))
% 225.14/225.11 [9589]~P26(x95893,x95891,x95894,f241(f925(x95893,a913)),f241(f925(x95891,a913)))+P105(f326(f326(f234(f925(x95891,a913)),x95892),f326(f309(x95893,x95891,x95894),x95895)))+~P105(f326(f326(f234(f925(x95893,a913)),f326(f310(x95893,x95891,x95894),x95892)),x95895))
% 225.14/225.11 [9722]~P16(x97221,x97222,x97223)+~P105(f326(f60(x97221),x97225))+P105(f326(f65(x97221,x97222,x97223,x97224,x97225),f326(f326(f63(x97221,x97222,x97223),x97224),x97225)))
% 225.14/225.11 [9801]~P26(x98012,x98011,x98014,f241(f925(x98012,a913)),f241(f925(x98011,a913)))+~P26(x98011,x98013,x98015,f241(f925(x98011,a913)),f241(f925(x98013,a913)))+E(f326(f72(x98011,x98012,x98013,f90(x98012,x98011,f241(f925(x98012,a913)),x98014)),f90(x98011,x98013,f241(f925(x98011,a913)),x98015)),f90(x98012,x98013,f241(f925(x98012,a913)),f326(f72(x98011,x98013,x98012,x98015),x98014)))
% 225.14/225.11 [9802]P105(f326(x98021,f643(x98022,x98021,x98023,x98024,x98025)))+~P105(f326(f326(f234(f925(x98025,a913)),x98024),x98023))+P105(f326(f326(f234(f925(x98025,a913)),f326(f326(f102(f925(x98025,a913)),x98024),f326(f261(x98025),x98021))),f326(f326(f102(f925(x98025,a913)),x98023),f326(f261(x98025),x98022))))
% 225.14/225.11 [9816]~P80(x98161)+~P105(f326(x98164,f721(x98163,x98164,x98165,x98162,x98161)))+E(f326(f165(x98161),f326(f326(f154(x98162,x98161),x98163),f326(f136(x98162,x98164),x98165))),f326(f165(x98161),f326(f326(f154(x98162,x98161),x98163),x98165)))
% 225.14/225.11 [9894]~P5(x98945)+P105(f326(f326(f328(x98941),f525(x98942,x98943,x98941,x98944,x98945)),x98943))+P105(f326(f326(f234(x98945),x98944),f326(f326(f39(x98941,x98945),x98943),x98942)))
% 225.14/225.11 [9898]~P80(x98981)+E(f326(f165(x98981),f326(f326(f154(x98982,x98981),x98983),f326(f136(x98982,x98984),x98985))),f326(f165(x98981),f326(f326(f154(x98982,x98981),x98983),x98985)))+P105(f326(f326(f328(x98982),f721(x98983,x98984,x98985,x98982,x98981)),f326(f172(x98982),x98985)))
% 225.14/225.11 [9908]~P105(f326(x99085,f643(x99085,x99083,x99084,x99082,x99081)))+~P105(f326(f326(f234(f925(x99081,a913)),x99082),x99084))+P105(f326(f326(f234(f925(x99081,a913)),f326(f326(f102(f925(x99081,a913)),x99082),f326(f261(x99081),x99083))),f326(f326(f102(f925(x99081,a913)),x99084),f326(f261(x99081),x99085))))
% 225.14/225.11 [9924]~P25(x99245,x99243,x99244,f241(f925(x99245,a913)))+P105(f326(x99241,x99242))+P105(f326(f326(f328(x99243),f812(x99242,x99241,x99244,x99243,x99245)),f326(f309(x99245,x99243,x99244),f241(f925(x99245,a913)))))
% 225.14/225.11 [9947]P34(x99471,x99472,x99473,x99474,x99475)+~E(f326(f189(f918(x99472)),x99475),f326(f189(f918(x99471)),x99474))+P105(f326(f326(f235(a917),f702(x99475,x99474,x99473,x99472,x99471)),f326(f189(f918(x99471)),x99474)))
% 225.14/225.11 [9948]P34(x99481,x99482,x99483,x99484,x99485)+~E(f326(f189(f918(x99482)),x99485),f326(f189(f918(x99481)),x99484))+P105(f326(f326(f235(a917),f737(x99483,x99485,x99482,x99484,x99481)),f326(f189(f918(x99481)),x99484)))
% 225.14/225.11 [9979]P105(f326(f326(f328(x99791),f643(x99792,x99793,x99794,x99795,x99791)),x99795))+~P105(f326(f326(f234(f925(x99791,a913)),x99795),x99794))+P105(f326(f326(f234(f925(x99791,a913)),f326(f326(f102(f925(x99791,a913)),x99795),f326(f261(x99791),x99793))),f326(f326(f102(f925(x99791,a913)),x99794),f326(f261(x99791),x99792))))
% 225.14/225.11 [10022]~P5(x100221)+~P105(f326(f326(f234(x100221),x100222),f326(x100225,f525(x100225,x100224,x100223,x100222,x100221))))+P105(f326(f326(f234(x100221),x100222),f326(f326(f39(x100223,x100221),x100224),x100225)))
% 225.14/225.11 [10060]~P69(x100601)+~P105(f326(f60(x100602),x100605))+E(f326(f326(f326(f64(x100601,x100602,f80(x100601)),f326(f326(f20(x100602,x100601,x100601),f326(f326(f10(x100601,f925(x100601,x100601),x100602),f80(x100601)),x100603)),x100604)),f77(x100601)),x100605),f326(f326(f80(x100601),f326(f326(f326(f64(x100601,x100602,f80(x100601)),x100603),f77(x100601)),x100605)),f326(f326(f326(f64(x100601,x100602,f80(x100601)),x100604),f77(x100601)),x100605)))
% 225.14/225.11 [10116]~P105(f326(f326(f328(f924(f925(x101161,a913),f925(x101161,a913))),f326(f326(f251(f925(x101161,a913),f925(x101161,a913)),x101165),x101164)),f317(x101161,x101163)))+~P105(f326(f326(f328(x101161),x101162),x101165))+P105(f326(f326(f328(f924(x101161,x101161)),f326(f326(f251(x101161,x101161),x101162),f478(x101163,x101164,x101165,x101161,x101162))),x101163))
% 225.14/225.11 [10255]~P105(f326(f326(f328(f924(f918(x102551),f918(x102551))),f326(f326(f251(f918(x102551),f918(x102551)),f326(f326(f134(x102551),x102555),x102552)),f326(f326(f134(x102551),x102555),x102553))),f147(x102551,x102554)))+P105(f326(f326(f328(f924(f918(x102551),f918(x102551))),f326(f326(f251(f918(x102551),f918(x102551)),x102552),x102553)),f147(x102551,x102554)))+P105(f326(f326(f328(f924(x102551,x102551)),f326(f326(f251(x102551,x102551),f690(x102554,x102553,x102552,x102555,x102551)),f690(x102554,x102553,x102552,x102555,x102551))),x102554))
% 225.14/225.11 [7450]~E(x74503,x74505)+E(f326(f326(f164(x74501),f326(f326(f159(x74501,x74502),x74503),x74504)),x74505),x74504)+~P105(f326(f326(f235(a917),x74503),f326(f189(f918(x74501)),x74502)))
% 225.14/225.11 [7567]~E(f326(f326(f134(x75671),x75672),x75674),f326(f326(f134(x75671),x75673),x75675))+E(f326(f326(f175(x75671),f326(f189(f918(x75671)),x75672)),x75673),x75672)+P105(f326(f326(f234(a917),f326(f189(f918(x75671)),x75673)),f326(f189(f918(x75671)),x75672)))
% 225.14/225.11 [8061]~E(f326(f326(f134(x80611),x80612),x80614),f326(f326(f134(x80611),x80613),x80615))+E(f326(f326(f175(x80611),f326(f189(f918(x80611)),x80612)),x80613),x80612)+~P105(f326(f326(f234(a917),f326(f189(f918(x80611)),x80612)),f326(f189(f918(x80611)),x80613)))
% 225.14/225.11 [8085]~P105(f326(f60(x80851),f326(x80854,x80855)))+~P105(f326(f326(f328(x80852),x80855),x80853))+P105(f326(f60(x80851),f326(f326(f39(x80852,f925(x80851,a913)),x80853),x80854)))
% 225.14/225.11 [8261]~P52(x82611,x82613,x82615)+~P52(x82611,x82612,x82614)+P52(x82611,f326(f326(f101(f925(x82611,a913)),x82612),x82613),f326(f326(f101(f925(f924(x82611,x82611),a913)),x82614),x82615))
% 225.14/225.11 [8262]~P52(x82621,x82623,x82625)+~P52(x82621,x82622,x82624)+P52(x82621,f326(f326(f102(f925(x82621,a913)),x82622),x82623),f326(f326(f102(f925(f924(x82621,x82621),a913)),x82624),x82625))
% 225.14/225.11 [8614]E(f326(f326(f251(x86141,x86142),f326(f326(f164(x86141),x86143),x86144)),f326(f326(f164(x86142),x86145),x86144)),f326(f326(f164(f924(x86141,x86142)),f326(f326(f181(x86141,x86142),x86143),x86145)),x86144))+~P105(f326(f326(f235(a917),x86144),f326(f189(f918(x86141)),x86143)))+~P105(f326(f326(f235(a917),x86144),f326(f189(f918(x86142)),x86145)))
% 225.14/225.11 [8767]~P52(x87671,x87673,x87674)+P105(f326(f326(f328(x87671),x87672),x87673))+~P105(f326(f326(f328(f924(x87671,x87671)),f326(f326(f251(x87671,x87671),x87675),x87672)),x87674))
% 225.14/225.11 [8768]~P52(x87681,x87683,x87684)+P105(f326(f326(f328(x87681),x87682),x87683))+~P105(f326(f326(f328(f924(x87681,x87681)),f326(f326(f251(x87681,x87681),x87682),x87685)),x87684))
% 225.14/225.11 [8769]~P8(x87691,x87693,x87694)+P105(f326(f326(f328(x87691),x87692),x87693))+~P105(f326(f326(f328(f924(x87691,x87691)),f326(f326(f251(x87691,x87691),x87695),x87692)),x87694))
% 225.14/225.11 [8770]~P8(x87701,x87703,x87704)+P105(f326(f326(f328(x87701),x87702),x87703))+~P105(f326(f326(f328(f924(x87701,x87701)),f326(f326(f251(x87701,x87701),x87702),x87705)),x87704))
% 225.14/225.11 [9051]~P8(x90511,x90515,x90512)+E(f326(f284(x90511,x90511,x90512),f326(f326(f308(x90511),x90513),f188(f925(x90511,a913)))),f326(f284(x90511,x90511,x90512),f326(f326(f308(x90511),x90514),f188(f925(x90511,a913)))))+~P105(f326(f326(f328(f924(x90511,x90511)),f326(f326(f251(x90511,x90511),x90513),x90514)),x90512))
% 225.14/225.11 [9235]P105(f326(x92351,x92352))+~P105(f326(f326(f328(x92353),x92352),x92355))+P105(f326(f326(f328(x92353),f427(x92351,x92354,x92355,x92353)),f326(f326(f101(f925(x92353,a913)),x92355),x92354)))
% 225.14/225.11 [9236]P105(f326(x92361,x92362))+~P105(f326(f326(f328(x92363),x92362),x92364))+P105(f326(f326(f328(x92363),f427(x92361,x92364,x92365,x92363)),f326(f326(f101(f925(x92363,a913)),x92365),x92364)))
% 225.14/225.11 [9244]~P105(f326(x92442,x92445))+~P105(f326(f326(f328(x92441),x92445),x92444))+P105(f326(f326(f328(x92441),f422(x92442,x92443,x92444,x92441)),f326(f326(f101(f925(x92441,a913)),x92444),x92443)))
% 225.14/225.11 [9245]~P105(f326(x92452,x92455))+~P105(f326(f326(f328(x92451),x92455),x92453))+P105(f326(f326(f328(x92451),f422(x92452,x92453,x92454,x92451)),f326(f326(f101(f925(x92451,a913)),x92454),x92453)))
% 225.14/225.11 [9260]~P105(f326(f326(f234(f925(x92601,a913)),x92605),x92603))+~P105(f326(f326(f234(f925(x92601,a913)),x92602),x92604))+P105(f326(f326(f234(f925(x92601,a913)),f326(f326(f3(f925(x92601,a913)),x92602),x92603)),f326(f326(f3(f925(x92601,a913)),x92604),x92605)))
% 225.14/225.11 [9261]~P105(f326(f326(f234(f925(x92611,a913)),x92613),x92615))+~P105(f326(f326(f234(f925(x92611,a913)),x92612),x92614))+P105(f326(f326(f234(f925(x92611,a913)),f326(f326(f101(f925(x92611,a913)),x92612),x92613)),f326(f326(f101(f925(x92611,a913)),x92614),x92615)))
% 225.14/225.11 [9262]~P105(f326(f326(f234(f925(x92621,a913)),x92623),x92625))+~P105(f326(f326(f234(f925(x92621,a913)),x92622),x92624))+P105(f326(f326(f234(f925(x92621,a913)),f326(f326(f102(f925(x92621,a913)),x92622),x92623)),f326(f326(f102(f925(x92621,a913)),x92624),x92625)))
% 225.14/225.11 [9356]P105(f326(f326(f328(f924(x93561,x93561)),f326(f326(f251(x93561,x93561),x93562),x93563)),f320(x93561,x93564,x93565)))+~P105(f326(f326(f234(a917),f326(x93564,x93562)),f326(x93564,x93563)))+~P105(f326(f326(f328(f924(x93561,x93561)),f326(f326(f251(x93561,x93561),x93562),x93563)),x93565))
% 225.14/225.11 [9543]P105(f326(f326(f328(f924(x95431,x95431)),f326(f326(f251(x95431,x95431),x95432),x95433)),f306(x95431,x95434)))+~P105(f326(f326(f328(f924(x95431,x95431)),f326(f326(f251(x95431,x95431),x95432),x95435)),f306(x95431,x95434)))+~P105(f326(f326(f328(f924(x95431,x95431)),f326(f326(f251(x95431,x95431),x95435),x95433)),x95434))
% 225.14/225.11 [9544]P105(f326(f326(f328(f924(x95441,x95441)),f326(f326(f251(x95441,x95441),x95442),x95443)),f306(x95441,x95444)))+~P105(f326(f326(f328(f924(x95441,x95441)),f326(f326(f251(x95441,x95441),x95445),x95443)),f306(x95441,x95444)))+~P105(f326(f326(f328(f924(x95441,x95441)),f326(f326(f251(x95441,x95441),x95442),x95445)),x95444))
% 225.14/225.11 [9645]E(x96451,x96452)+E(f326(a112,f628(x96453,x96454,x96451,x96452,x96455)),x96454)+~P105(f326(f326(f328(f924(x96455,x96455)),f326(f326(f251(x96455,x96455),x96452),x96451)),f326(f326(f183(f924(x96455,x96455),a913),x96454),x96453)))
% 225.14/225.11 [9646]E(x96461,x96462)+E(f326(a112,f630(x96463,x96464,x96461,x96462,x96465)),x96464)+~P105(f326(f326(f328(f924(x96465,x96465)),f326(f326(f251(x96465,x96465),x96462),x96461)),f326(f326(f183(f924(x96465,x96465),a913),x96464),x96463)))
% 225.14/225.11 [9647]E(x96471,f2(a917))+E(f326(a112,f628(x96472,x96471,x96473,x96474,x96475)),x96471)+~P105(f326(f326(f328(f924(x96475,x96475)),f326(f326(f251(x96475,x96475),x96474),x96473)),f326(f326(f183(f924(x96475,x96475),a913),x96471),x96472)))
% 225.14/225.11 [9648]E(x96481,f2(a917))+E(f326(a112,f630(x96482,x96481,x96483,x96484,x96485)),x96481)+~P105(f326(f326(f328(f924(x96485,x96485)),f326(f326(f251(x96485,x96485),x96484),x96483)),f326(f326(f183(f924(x96485,x96485),a913),x96481),x96482)))
% 225.14/225.11 [9671]P105(f326(f326(f328(f924(x96711,x96711)),f326(f326(f251(x96711,x96711),x96712),x96713)),f326(f326(f288(x96711,x96711,x96711),x96714),f306(x96711,x96714))))+~P105(f326(f326(f328(f924(x96711,x96711)),f326(f326(f251(x96711,x96711),x96712),x96715)),x96714))+~P105(f326(f326(f328(f924(x96711,x96711)),f326(f326(f251(x96711,x96711),x96715),x96713)),x96714))
% 225.14/225.11 [9681]~P105(f326(f326(f328(f924(x96811,x96811)),f326(f326(f251(x96811,x96811),x96812),x96815)),f306(x96811,x96814)))+P105(f326(f326(f328(f924(x96811,x96811)),f326(f326(f251(x96811,x96811),x96812),x96813)),f326(f326(f288(x96811,x96811,x96811),x96814),f306(x96811,x96814))))+~P105(f326(f326(f328(f924(x96811,x96811)),f326(f326(f251(x96811,x96811),x96815),x96813)),x96814))
% 225.14/225.11 [9716]~P8(x97161,x97165,x97162)+~P105(f326(f326(f328(f924(x97161,x97161)),f326(f326(f251(x97161,x97161),x97163),x97164)),x97162))+P105(f326(f326(f234(f925(x97161,a913)),f326(f284(x97161,x97161,x97162),f326(f326(f308(x97161),x97163),f188(f925(x97161,a913))))),f326(f284(x97161,x97161,x97162),f326(f326(f308(x97161),x97164),f188(f925(x97161,a913))))))
% 225.14/225.11 [9774]P105(f326(f326(f328(f924(x97741,x97741)),f326(f326(f251(x97741,x97741),x97742),x97743)),f326(f326(f288(x97741,x97741,x97741),x97744),f306(x97741,x97744))))+~P105(f326(f326(f328(f924(x97741,x97741)),f326(f326(f251(x97741,x97741),x97742),x97745)),f326(f326(f288(x97741,x97741,x97741),x97744),f306(x97741,x97744))))+~P105(f326(f326(f328(f924(x97741,x97741)),f326(f326(f251(x97741,x97741),x97745),x97743)),x97744))
% 225.14/225.11 [9775]P105(f326(f326(f328(f924(x97751,x97751)),f326(f326(f251(x97751,x97751),x97752),x97753)),f326(f326(f288(x97751,x97751,x97751),x97754),f306(x97751,x97754))))+~P105(f326(f326(f328(f924(x97751,x97751)),f326(f326(f251(x97751,x97751),x97755),x97753)),f326(f326(f288(x97751,x97751,x97751),x97754),f306(x97751,x97754))))+~P105(f326(f326(f328(f924(x97751,x97751)),f326(f326(f251(x97751,x97751),x97752),x97755)),x97754))
% 225.14/225.11 [9825]~P105(f326(f65(x98251,x98251,x98254,x98252,x98253),x98255))+P105(f326(f326(f328(x98251),x98252),x98253))+P105(f326(f61(x98251,x98254,f326(f326(f308(x98251),x98252),x98253)),x98255))
% 225.14/225.11 [9863]~E(f326(f309(x98633,x98632,x98635),x98634),x98631)+E(x98631,f188(f925(x98632,a913)))+P105(f326(f326(f234(f925(x98633,a913)),f326(f309(x98632,x98633,f484(x98634,x98633,x98632,x98631)),x98631)),x98634))
% 225.14/225.11 [9911]~P5(x99115)+P105(f326(f326(f328(x99111),f507(x99112,x99113,x99114,x99111,x99115)),x99114))+P105(f326(f326(f234(x99115),f326(f326(f38(x99111,x99115),x99114),x99113)),x99112))
% 225.14/225.11 [9966]P34(x99661,x99662,x99663,x99664,x99665)+~E(f326(f189(f918(x99661)),x99664),f326(f189(f918(x99662)),x99665))+P105(f326(f326(f328(f924(x99661,x99662)),f700(x99665,x99664,x99663,x99662,x99661)),f326(f172(f924(x99661,x99662)),f326(f326(f181(x99661,x99662),x99664),x99665))))
% 225.14/225.11 [9967]P34(x99671,x99672,x99673,x99674,x99675)+~E(f326(f189(f918(x99671)),x99674),f326(f189(f918(x99672)),x99675))+P105(f326(f326(f328(f924(x99671,x99672)),f701(x99673,x99675,x99674,x99672,x99671)),f326(f172(f924(x99671,x99672)),f326(f326(f181(x99671,x99672),x99674),x99675))))
% 225.14/225.11 [10094]E(x100941,x100942)+P105(f326(f326(f328(f924(x100943,x100943)),f326(f326(f251(x100943,x100943),x100941),f631(x100944,x100945,x100942,x100941,x100943))),x100944))+~P105(f326(f326(f328(f924(x100943,x100943)),f326(f326(f251(x100943,x100943),x100941),x100942)),f326(f326(f183(f924(x100943,x100943),a913),x100945),x100944)))
% 225.14/225.11 [10095]E(x100951,f2(a917))+P105(f326(f326(f328(f924(x100952,x100952)),f326(f326(f251(x100952,x100952),x100953),f631(x100954,x100951,x100955,x100953,x100952))),x100954))+~P105(f326(f326(f328(f924(x100952,x100952)),f326(f326(f251(x100952,x100952),x100953),x100955)),f326(f326(f183(f924(x100952,x100952),a913),x100951),x100954)))
% 225.14/225.11 [10135]~P5(x101351)+~P105(f326(f326(f234(x101351),f326(x101354,f507(x101355,x101354,x101353,x101352,x101351))),x101355))+P105(f326(f326(f234(x101351),f326(f326(f38(x101352,x101351),x101353),x101354)),x101355))
% 225.14/225.11 [10188]E(x101881,x101882)+P105(f326(f326(f328(f924(x101883,x101883)),f326(f326(f251(x101883,x101883),f629(x101884,x101885,x101881,x101882,x101883)),x101881)),x101884))+~P105(f326(f326(f328(f924(x101883,x101883)),f326(f326(f251(x101883,x101883),x101882),x101881)),f326(f326(f183(f924(x101883,x101883),a913),x101885),x101884)))
% 225.14/225.11 [10189]E(x101891,f2(a917))+P105(f326(f326(f328(f924(x101892,x101892)),f326(f326(f251(x101892,x101892),f629(x101893,x101891,x101894,x101895,x101892)),x101894)),x101893))+~P105(f326(f326(f328(f924(x101892,x101892)),f326(f326(f251(x101892,x101892),x101895),x101894)),f326(f326(f183(f924(x101892,x101892),a913),x101891),x101893)))
% 225.14/225.11 [10193]E(x101931,x101932)+P105(f326(f326(f328(f924(x101933,x101933)),f326(f326(f251(x101933,x101933),x101931),f629(x101934,x101935,x101932,x101931,x101933))),f326(f326(f183(f924(x101933,x101933),a913),f628(x101934,x101935,x101932,x101931,x101933)),x101934)))+~P105(f326(f326(f328(f924(x101933,x101933)),f326(f326(f251(x101933,x101933),x101931),x101932)),f326(f326(f183(f924(x101933,x101933),a913),x101935),x101934)))
% 225.14/225.11 [10194]E(x101941,f2(a917))+P105(f326(f326(f328(f924(x101942,x101942)),f326(f326(f251(x101942,x101942),x101943),f629(x101944,x101941,x101945,x101943,x101942))),f326(f326(f183(f924(x101942,x101942),a913),f628(x101944,x101941,x101945,x101943,x101942)),x101944)))+~P105(f326(f326(f328(f924(x101942,x101942)),f326(f326(f251(x101942,x101942),x101943),x101945)),f326(f326(f183(f924(x101942,x101942),a913),x101941),x101944)))
% 225.14/225.11 [10246]E(x102461,x102462)+P105(f326(f326(f328(f924(x102463,x102463)),f326(f326(f251(x102463,x102463),f631(x102464,x102465,x102461,x102462,x102463)),x102461)),f326(f326(f183(f924(x102463,x102463),a913),f630(x102464,x102465,x102461,x102462,x102463)),x102464)))+~P105(f326(f326(f328(f924(x102463,x102463)),f326(f326(f251(x102463,x102463),x102462),x102461)),f326(f326(f183(f924(x102463,x102463),a913),x102465),x102464)))
% 225.14/225.11 [10247]E(x102471,f2(a917))+P105(f326(f326(f328(f924(x102472,x102472)),f326(f326(f251(x102472,x102472),f631(x102473,x102471,x102474,x102475,x102472)),x102474)),f326(f326(f183(f924(x102472,x102472),a913),f630(x102473,x102471,x102474,x102475,x102472)),x102473)))+~P105(f326(f326(f328(f924(x102472,x102472)),f326(f326(f251(x102472,x102472),x102475),x102474)),f326(f326(f183(f924(x102472,x102472),a913),x102471),x102473)))
% 225.14/225.11 [10282]~P70(x102822)+~P105(f326(f60(x102821),x102825))+E(f326(f326(f8(x102821,x102822),f326(f326(f9(x102821,x102822,x102822),f326(f326(f20(x102821,x102822,f925(x102822,x102822)),f326(f326(f10(a913,f925(x102822,f925(x102822,x102822)),x102821),f96(x102822)),f326(f326(f9(x102821,f925(x102821,a913),a913),f328(x102821)),x102823))),x102824)),f2(x102822))),x102825),f326(f326(f8(x102821,x102822),x102824),f326(f326(f102(f925(x102821,a913)),x102825),x102823)))
% 225.14/225.11 [8835]~P70(x88351)+~P105(f326(f60(x88354),x88355))+E(f326(f326(f79(x88351),f326(x88352,x88353)),f326(f326(f8(x88354,x88351),x88352),f326(f326(f3(f925(x88354,a913)),x88355),f326(f326(f308(x88354),x88353),f188(f925(x88354,a913)))))),f326(f326(f8(x88354,x88351),x88352),f326(f326(f308(x88354),x88353),x88355)))
% 225.14/225.11 [8836]~P69(x88361)+~P105(f326(f60(x88364),x88365))+E(f326(f326(f80(x88361),f326(x88362,x88363)),f326(f326(f11(x88364,x88361),x88362),f326(f326(f3(f925(x88364,a913)),x88365),f326(f326(f308(x88364),x88363),f188(f925(x88364,a913)))))),f326(f326(f11(x88364,x88361),x88362),f326(f326(f308(x88364),x88363),x88365)))
% 225.14/225.11 [9168]~P108(x91682)+~P13(x91682,f326(f168(x91682),f326(f326(f154(x91681,x91682),x91684),x91685)))+E(f326(f136(x91681,f326(f326(f10(x91682,a913,x91681),f326(f235(x91682),x91683)),x91684)),x91685),f177(x91681,f326(f326(f10(x91682,a913,x91681),f326(f235(x91682),x91683)),x91684),x91685))
% 225.14/225.11 [9192]~P70(x91921)+E(f326(f326(f79(x91921),f326(f326(f8(a917,x91921),x91922),f302(a917,x91923,x91924))),f326(f326(f8(a917,x91921),x91922),f302(a917,f326(f326(f79(a917),x91924),f77(a917)),f326(f326(f79(a917),x91924),x91925)))),f326(f326(f8(a917,x91921),x91922),f302(a917,x91923,f326(f326(f79(a917),x91924),x91925))))+~P105(f326(f326(f234(a917),x91923),f326(f326(f79(a917),x91924),f77(a917))))
% 225.14/225.11 [9193]~P105(f326(f326(f328(x91931),x91934),x91935))+~P105(f326(f326(f234(f925(x91931,a913)),f326(f172(x91931),x91932)),x91935))+P105(f326(f326(f234(f925(x91931,a913)),f326(f172(x91931),f326(f326(f159(x91931,x91932),x91933),x91934))),x91935))
% 225.14/225.11 [9417]~P5(x94172)+~P105(f326(f60(x94171),x94175))+E(f326(f326(f63(x94171,x94172,f326(f326(f10(x94172,f925(x94172,x94172),x94171),f101(x94172)),x94173)),x94174),x94175),f326(f326(f101(x94172),x94174),f326(f326(f38(x94171,x94172),x94175),x94173)))
% 225.14/225.11 [9418]~P5(x94182)+~P105(f326(f60(x94181),x94185))+E(f326(f326(f63(x94181,x94182,f326(f326(f10(x94182,f925(x94182,x94182),x94181),f102(x94182)),x94183)),x94184),x94185),f326(f326(f102(x94182),x94184),f326(f326(f39(x94181,x94182),x94185),x94183)))
% 225.14/225.11 [9468]E(f326(x94681,x94682),f326(x94681,x94683))+P105(f326(f326(f235(a917),f326(x94681,x94682)),f326(x94681,x94683)))+~P105(f326(f326(f328(f924(x94684,x94684)),f326(f326(f251(x94684,x94684),x94682),x94683)),f153(x94684,f326(f326(f151(f925(x94684,a917)),x94681),x94685))))
% 225.14/225.11 [9501]~E(f326(x95014,x95012),f326(x95014,x95013))+~P105(f326(f326(f328(f924(x95011,x95011)),f326(f326(f251(x95011,x95011),x95012),x95013)),f153(x95011,x95015)))+P105(f326(f326(f328(f924(x95011,x95011)),f326(f326(f251(x95011,x95011),x95012),x95013)),f153(x95011,f326(f326(f151(f925(x95011,a917)),x95014),x95015))))
% 225.14/225.11 [9521]~P25(x95211,x95212,x95213,x95215)+P25(x95211,x95212,x95213,f326(f326(f308(x95211),x95214),x95215))+P105(f326(f326(f328(x95212),f326(x95213,x95214)),f326(f309(x95211,x95212,x95213),f326(f326(f3(f925(x95211,a913)),x95215),f326(f326(f308(x95211),x95214),f188(f925(x95211,a913)))))))
% 225.14/225.11 [9524]P105(f326(x95242,x95245))+~P105(f326(f326(f328(x95241),x95245),f326(f172(x95241),x95243)))+E(f326(f326(f138(x95241),f326(f189(f918(x95241)),f177(x95241,x95242,f326(f326(f134(x95241),x95243),x95244)))),f326(f326(f134(x95241),x95243),x95244)),f326(f326(f134(x95241),f326(f326(f138(x95241),f326(f189(f918(x95241)),f177(x95241,x95242,x95243))),x95243)),x95244))
% 225.14/225.11 [9529]~P105(f326(f326(f328(f924(x95291,x95291)),f326(f326(f251(x95291,x95291),x95292),x95293)),f153(x95291,x95295)))+~P105(f326(f326(f234(a917),f326(x95294,x95292)),f326(x95294,x95293)))+P105(f326(f326(f328(f924(x95291,x95291)),f326(f326(f251(x95291,x95291),x95292),x95293)),f153(x95291,f326(f326(f151(f925(x95291,a917)),x95294),x95295))))
% 225.14/225.11 [9596]P105(f326(f326(f328(f924(x95964,x95964)),f326(f326(f251(x95964,x95964),x95962),x95963)),f153(x95964,x95965)))+P105(f326(f326(f235(a917),f326(x95961,x95962)),f326(x95961,x95963)))+~P105(f326(f326(f328(f924(x95964,x95964)),f326(f326(f251(x95964,x95964),x95962),x95963)),f153(x95964,f326(f326(f151(f925(x95964,a917)),x95961),x95965))))
% 225.14/225.11 [9746]~P105(f326(f326(f328(f924(f918(x97461),f918(x97461))),f326(f326(f251(f918(x97461),f918(x97461)),x97462),x97464)),f158(x97461,x97465)))+~P105(f326(f326(f235(a917),x97463),f326(f189(f918(x97461)),x97462)))+P105(f326(f326(f328(f924(x97461,x97461)),f326(f326(f251(x97461,x97461),f326(f326(f164(x97461),x97462),x97463)),f326(f326(f164(x97461),x97464),x97463))),x97465))
% 225.14/225.11 [9989]E(x99891,f2(a1))+~P105(f326(f48(x99893,x99891),f326(f326(f251(a1,a1),x99894),x99895)))+P105(f326(f48(f326(f326(f80(a1),x99892),x99893),x99891),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),x99892),x99894)),f326(f326(f35(a1),f326(f326(f80(a1),x99892),x99895)),x99891))),f44(a1,f326(f326(f80(a1),x99892),x99895),x99891))))
% 225.14/225.11 [9990]~P105(f326(f326(f235(a917),f2(a917)),x99903))+~P105(f326(f47(x99902,x99903),f326(f326(f251(a917,a917),x99904),x99905)))+P105(f326(f47(f326(f326(f80(a917),x99901),x99902),x99903),f326(f326(f251(a917,a917),f326(f326(f79(a917),f326(f326(f80(a917),x99901),x99904)),f326(f326(f35(a917),f326(f326(f80(a917),x99901),x99905)),x99903))),f44(a917,f326(f326(f80(a917),x99901),x99905),x99903))))
% 225.14/225.11 [10305]~P70(x103052)+~P105(f326(f60(x103051),x103054))+E(f326(f326(f8(x103051,x103052),x103053),f326(f261(x103051),f326(f326(f20(x103051,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103051),a324),f326(f326(f9(x103051,f925(x103051,a913),a913),f328(x103051)),x103054))),f326(f326(f9(x103051,f925(x103051,a913),a913),f328(x103051)),x103055)))),f326(f326(f8(x103051,x103052),f326(f326(f9(x103051,x103052,x103052),f326(f326(f20(x103051,x103052,f925(x103052,x103052)),f326(f326(f10(a913,f925(x103052,f925(x103052,x103052)),x103051),f96(x103052)),f326(f326(f9(x103051,f925(x103051,a913),a913),f328(x103051)),x103055))),x103053)),f2(x103052))),x103054))
% 225.14/225.11 [8467]~E(f326(f326(f134(x84671),x84672),x84675),f326(f326(f134(x84671),x84673),x84674))+E(f326(f326(f134(x84671),f326(f326(f138(x84671),f326(f189(f918(x84671)),x84672)),x84673)),x84674),x84675)+P105(f326(f326(f234(a917),f326(f189(f918(x84671)),x84673)),f326(f189(f918(x84671)),x84672)))
% 225.14/225.11 [8662]~E(f326(f326(f134(x86622),x86623),x86621),f326(f326(f134(x86622),x86624),x86625))+E(x86621,f326(f326(f134(x86622),f326(f326(f138(x86622),f326(f189(f918(x86622)),x86623)),x86624)),x86625))+~P105(f326(f326(f234(a917),f326(f189(f918(x86622)),x86623)),f326(f189(f918(x86622)),x86624)))
% 225.14/225.11 [8750]~E(f326(f326(f79(a917),f326(f326(f80(a917),x87503),x87504)),x87501),f326(f326(f79(a917),f326(f326(f80(a917),x87502),x87504)),x87505))+~P105(f326(f326(f234(a917),x87503),x87502))+E(x87501,f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x87502),x87503)),x87504)),x87505))
% 225.14/225.11 [8751]~E(f326(f326(f79(a917),f326(f326(f80(a917),x87511),x87513)),x87514),f326(f326(f79(a917),f326(f326(f80(a917),x87512),x87513)),x87515))+~P105(f326(f326(f234(a917),x87512),x87511))+E(f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x87511),x87512)),x87513)),x87514),x87515)
% 225.14/225.11 [8919]E(f326(f326(f79(a917),f326(f326(f80(a917),x89191),x89192)),x89193),f326(f326(f79(a917),f326(f326(f80(a917),x89194),x89192)),x89195))+~P105(f326(f326(f234(a917),x89194),x89191))+~E(x89195,f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x89191),x89194)),x89192)),x89193))
% 225.14/225.11 [8920]E(f326(f326(f79(a917),f326(f326(f80(a917),x89201),x89202)),x89203),f326(f326(f79(a917),f326(f326(f80(a917),x89204),x89202)),x89205))+~P105(f326(f326(f234(a917),x89204),x89201))+~E(f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x89201),x89204)),x89202)),x89203),x89205)
% 225.14/225.11 [9800]~P61(x98002)+~P105(f326(f60(x98001),x98005))+E(f326(f326(f11(x98001,x98002),f326(f326(f20(x98001,x98002,x98002),f326(f326(f10(x98002,f925(x98002,x98002),x98001),f290(x98002)),x98003)),x98004)),x98005),f326(f326(f290(x98002),f326(f326(f11(x98001,x98002),x98003),x98005)),f326(f326(f11(x98001,x98002),x98004),x98005)))
% 225.14/225.11 [9930]~E(f632(x99305,x99304,x99303,x99302,x99301),f633(x99305,x99304,x99303,x99302,x99301))+P105(f326(f326(f328(f924(x99301,x99301)),f326(f326(f251(x99301,x99301),x99302),x99303)),f306(x99301,x99304)))+~P105(f326(f326(f328(f924(x99301,x99301)),f326(f326(f251(x99301,x99301),x99302),x99303)),f306(x99301,f326(f326(f101(f925(f924(x99301,x99301),a913)),x99304),x99305))))
% 225.14/225.11 [9931]~E(f637(x99315,x99314,x99313,x99312,x99311),f638(x99315,x99314,x99313,x99312,x99311))+P105(f326(f326(f328(f924(x99311,x99311)),f326(f326(f251(x99311,x99311),x99312),x99313)),f306(x99311,x99314)))+~P105(f326(f326(f328(f924(x99311,x99311)),f326(f326(f251(x99311,x99311),x99312),x99313)),f306(x99311,f326(f326(f101(f925(f924(x99311,x99311),a913)),x99314),x99315))))
% 225.14/225.11 [10125]P105(f326(f326(f328(f924(x101251,x101251)),f326(f326(f251(x101251,x101251),x101252),f633(x101255,x101254,x101253,x101252,x101251))),f306(x101251,x101254)))+P105(f326(f326(f328(f924(x101251,x101251)),f326(f326(f251(x101251,x101251),x101252),x101253)),f306(x101251,x101254)))+~P105(f326(f326(f328(f924(x101251,x101251)),f326(f326(f251(x101251,x101251),x101252),x101253)),f306(x101251,f326(f326(f101(f925(f924(x101251,x101251),a913)),x101254),x101255))))
% 225.14/225.11 [10215]P105(f326(f326(f328(f924(x102151,x102151)),f326(f326(f251(x102151,x102151),f638(x102155,x102154,x102153,x102152,x102151)),x102153)),f306(x102151,x102154)))+P105(f326(f326(f328(f924(x102151,x102151)),f326(f326(f251(x102151,x102151),x102152),x102153)),f306(x102151,x102154)))+~P105(f326(f326(f328(f924(x102151,x102151)),f326(f326(f251(x102151,x102151),x102152),x102153)),f306(x102151,f326(f326(f101(f925(f924(x102151,x102151),a913)),x102154),x102155))))
% 225.14/225.11 [10253]P105(f326(f326(f328(f924(x102531,x102531)),f326(f326(f251(x102531,x102531),x102532),x102533)),f306(x102531,x102534)))+P105(f326(f326(f328(f924(x102531,x102531)),f326(f326(f251(x102531,x102531),f633(x102535,x102534,x102533,x102532,x102531)),f632(x102535,x102534,x102533,x102532,x102531))),x102535))+~P105(f326(f326(f328(f924(x102531,x102531)),f326(f326(f251(x102531,x102531),x102532),x102533)),f306(x102531,f326(f326(f101(f925(f924(x102531,x102531),a913)),x102534),x102535))))
% 225.14/225.11 [10254]P105(f326(f326(f328(f924(x102541,x102541)),f326(f326(f251(x102541,x102541),x102542),x102543)),f306(x102541,x102544)))+P105(f326(f326(f328(f924(x102541,x102541)),f326(f326(f251(x102541,x102541),f637(x102545,x102544,x102543,x102542,x102541)),f638(x102545,x102544,x102543,x102542,x102541))),x102545))+~P105(f326(f326(f328(f924(x102541,x102541)),f326(f326(f251(x102541,x102541),x102542),x102543)),f306(x102541,f326(f326(f101(f925(f924(x102541,x102541),a913)),x102544),x102545))))
% 225.14/225.11 [10402]~P105(f326(f326(f328(f924(f918(x104021),f918(x104021))),f326(f326(f251(f918(x104021),f918(x104021)),x104024),x104025)),f158(x104021,x104022)))+~P105(f326(f326(f328(f924(x104021,x104021)),x104023),f326(f172(f924(x104021,x104021)),f326(f326(f181(x104021,x104021),x104024),x104025))))+P105(f326(f326(f256(x104021,x104021,a913),f326(f326(f9(x104021,f925(f924(x104021,x104021),a913),f925(x104021,a913)),f326(f326(f10(f925(x104021,f925(f925(f924(x104021,x104021),a913),a913)),f925(f925(f924(x104021,x104021),a913),f925(x104021,a913)),x104021),f9(x104021,f925(f924(x104021,x104021),a913),a913)),f326(f326(f10(f925(x104021,f924(x104021,x104021)),f925(x104021,f925(f925(f924(x104021,x104021),a913),a913)),x104021),f326(f10(f924(x104021,x104021),f925(f925(f924(x104021,x104021),a913),a913),x104021),f328(f924(x104021,x104021)))),f251(x104021,x104021)))),x104022)),x104023))
% 225.14/225.11 [9829]~P105(f326(f326(f234(a917),x98293),x98292))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),x98293),x98294)),x98291)),f326(f326(f79(a917),f326(f326(f80(a917),x98292),x98294)),x98295)))+P105(f326(f326(f234(a917),x98291),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x98292),x98293)),x98294)),x98295)))
% 225.14/225.11 [9830]~P105(f326(f326(f234(a917),x98303),x98302))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),x98303),x98304)),x98301)),f326(f326(f79(a917),f326(f326(f80(a917),x98302),x98304)),x98305)))+P105(f326(f326(f235(a917),x98301),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x98302),x98303)),x98304)),x98305)))
% 225.14/225.11 [9847]~P105(f326(f326(f234(a917),x98471),x98474))+P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),x98471),x98472)),x98473)),f326(f326(f79(a917),f326(f326(f80(a917),x98474),x98472)),x98475)))+~P105(f326(f326(f234(a917),x98473),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x98474),x98471)),x98472)),x98475)))
% 225.14/225.11 [9848]~P105(f326(f326(f234(a917),x98481),x98484))+P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),x98481),x98482)),x98483)),f326(f326(f79(a917),f326(f326(f80(a917),x98484),x98482)),x98485)))+~P105(f326(f326(f235(a917),x98483),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x98484),x98481)),x98482)),x98485)))
% 225.14/225.11 [9964]~P105(f326(f326(f234(a917),x99642),x99641))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),x99641),x99643)),x99644)),f326(f326(f79(a917),f326(f326(f80(a917),x99642),x99643)),x99645)))+P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x99641),x99642)),x99643)),x99644)),x99645))
% 225.14/225.11 [9965]~P105(f326(f326(f234(a917),x99652),x99651))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),x99651),x99653)),x99654)),f326(f326(f79(a917),f326(f326(f80(a917),x99652),x99653)),x99655)))+P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x99651),x99652)),x99653)),x99654)),x99655))
% 225.14/225.11 [10008]~P105(f326(f326(f234(a917),x100084),x100081))+P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),x100081),x100082)),x100083)),f326(f326(f79(a917),f326(f326(f80(a917),x100084),x100082)),x100085)))+~P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x100081),x100084)),x100082)),x100083)),x100085))
% 225.14/225.11 [10009]~P105(f326(f326(f234(a917),x100094),x100091))+P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),x100091),x100092)),x100093)),f326(f326(f79(a917),f326(f326(f80(a917),x100094),x100092)),x100095)))+~P105(f326(f326(f235(a917),f326(f326(f79(a917),f326(f326(f80(a917),f326(f326(f3(a917),x100091),x100094)),x100092)),x100093)),x100095))
% 225.14/225.11 [10241]~P11(x102411,x102412,x102415,x102413)+~P105(f326(f326(f328(f924(x102411,x102411)),x102414),x102415))+P105(f326(f326(f256(x102411,x102411,a913),f326(f326(f9(x102411,f925(x102411,x102412),f925(x102411,a913)),f326(f326(f10(f925(x102412,a913),f925(f925(x102411,x102412),f925(x102411,a913)),x102411),f10(x102412,a913,x102411)),f326(f326(f10(x102412,f925(x102412,a913),x102411),a323),x102413))),x102413)),x102414))
% 225.14/225.11 [8626]~P19(x86266,x86261,x86262,x86264)+E(f326(f72(x86261,x86261,x86261,f326(x86262,x86263)),f326(x86264,x86265)),f326(f72(x86261,x86261,x86261,f326(x86264,x86265)),f326(x86262,x86263)))+~P105(f326(f60(x86266),x86265))
% 225.14/225.11 [9063]~P25(x90631,x90633,x90635,x90636)+~P25(x90633,x90632,x90634,f326(f309(x90631,x90633,x90635),x90636))+P25(x90631,x90632,f326(f72(x90633,x90632,x90631,x90634),x90635),x90636)
% 225.14/225.11 [9628]~P105(f326(f326(x96283,x96282),x96286))+~P105(f326(f326(x96284,x96285),x96282))+P105(f326(f326(f328(x96281),x96282),f299(x96281,x96283,x96284,x96285,x96286)))
% 225.14/225.11 [9629]~P105(f326(f326(x96294,x96292),x96296))+~P105(f326(f326(x96293,x96295),x96292))+P105(f326(f326(f328(x96291),x96292),f296(x96291,x96293,x96294,x96295,x96296)))
% 225.14/225.11 [9747]E(x97471,x97472)+E(x97473,x97474)+~P105(f326(f326(f328(f924(f918(x97475),f918(x97475))),f326(f326(f251(f918(x97475),f918(x97475)),f326(f326(f151(x97475),x97473),x97471)),f326(f326(f151(x97475),x97474),x97472))),f157(x97475,x97476)))
% 225.14/225.11 [9756]~E(x97562,x97564)+P105(f326(f326(f328(f924(f918(x97561),f918(x97561))),f326(f326(f251(f918(x97561),f918(x97561)),f326(f326(f151(x97561),x97562),x97563)),f326(f326(f151(x97561),x97564),x97565))),f145(x97561,x97566)))+~P105(f326(f326(f328(f924(f918(x97561),f918(x97561))),f326(f326(f251(f918(x97561),f918(x97561)),x97563),x97565)),f145(x97561,x97566)))
% 225.14/225.11 [9757]~E(x97572,x97574)+P105(f326(f326(f328(f924(f918(x97571),f918(x97571))),f326(f326(f251(f918(x97571),f918(x97571)),f326(f326(f151(x97571),x97572),x97573)),f326(f326(f151(x97571),x97574),x97575))),f147(x97571,x97576)))+~P105(f326(f326(f328(f924(f918(x97571),f918(x97571))),f326(f326(f251(f918(x97571),f918(x97571)),x97573),x97575)),f147(x97571,x97576)))
% 225.14/225.11 [9758]~E(x97582,x97584)+P105(f326(f326(f328(f924(f918(x97581),f918(x97581))),f326(f326(f251(f918(x97581),f918(x97581)),f326(f326(f151(x97581),x97582),x97583)),f326(f326(f151(x97581),x97584),x97585))),f157(x97581,x97586)))+~P105(f326(f326(f328(f924(f918(x97581),f918(x97581))),f326(f326(f251(f918(x97581),f918(x97581)),x97583),x97585)),f157(x97581,x97586)))
% 225.14/225.11 [9759]~E(x97592,x97594)+P105(f326(f326(f328(f924(f918(x97591),f918(x97591))),f326(f326(f251(f918(x97591),f918(x97591)),f326(f326(f134(x97591),x97592),x97593)),f326(f326(f134(x97591),x97594),x97595))),f157(x97591,x97596)))+~P105(f326(f326(f328(f924(f918(x97591),f918(x97591))),f326(f326(f251(f918(x97591),f918(x97591)),x97593),x97595)),f157(x97591,x97596)))
% 225.14/225.11 [9760]~E(x97603,x97605)+P105(f326(f326(f328(f924(f918(x97601),f918(x97601))),f326(f326(f251(f918(x97601),f918(x97601)),f326(f326(f134(x97601),x97602),x97603)),f326(f326(f134(x97601),x97604),x97605))),f157(x97601,x97606)))+~P105(f326(f326(f328(f924(f918(x97601),f918(x97601))),f326(f326(f251(f918(x97601),f918(x97601)),x97602),x97604)),f157(x97601,x97606)))
% 225.14/225.11 [9817]E(x98171,x98172)+P105(f326(f326(f328(f924(f918(x98173),f918(x98173))),f326(f326(f251(f918(x98173),f918(x98173)),x98171),x98172)),f157(x98173,x98174)))+~P105(f326(f326(f328(f924(f918(x98173),f918(x98173))),f326(f326(f251(f918(x98173),f918(x98173)),f326(f326(f151(x98173),x98175),x98171)),f326(f326(f151(x98173),x98176),x98172))),f157(x98173,x98174)))
% 225.14/225.11 [9968]~E(x99683,x99685)+P105(f326(f326(f328(f924(f918(x99681),f918(x99681))),f326(f326(f251(f918(x99681),f918(x99681)),f326(f326(f134(x99681),x99682),f326(f326(f151(x99681),x99683),f113(x99681)))),f326(f326(f134(x99681),x99684),f326(f326(f151(x99681),x99685),f113(x99681))))),f157(x99681,x99686)))+~P105(f326(f326(f328(f924(f918(x99681),f918(x99681))),f326(f326(f251(f918(x99681),f918(x99681)),x99682),x99684)),f157(x99681,x99686)))
% 225.14/225.11 [10012]E(x100121,x100122)+E(x100123,x100124)+~P105(f326(f326(f328(f924(f918(x100125),f918(x100125))),f326(f326(f251(f918(x100125),f918(x100125)),f326(f326(f134(x100125),x100123),f326(f326(f151(x100125),x100121),f113(x100125)))),f326(f326(f134(x100125),x100124),f326(f326(f151(x100125),x100122),f113(x100125))))),f157(x100125,x100126)))
% 225.14/225.11 [10038]E(x100381,x100382)+~P105(f326(f326(f328(f924(f918(x100383),f918(x100383))),f326(f326(f251(f918(x100383),f918(x100383)),f326(f326(f134(x100383),x100381),f326(f326(f151(x100383),x100385),f113(x100383)))),f326(f326(f134(x100383),x100382),f326(f326(f151(x100383),x100386),f113(x100383))))),f157(x100383,x100384)))+P105(f326(f326(f328(f924(f918(x100383),f918(x100383))),f326(f326(f251(f918(x100383),f918(x100383)),x100381),x100382)),f157(x100383,x100384)))
% 225.14/225.11 [10077]~P105(f326(f326(f328(f924(f925(x100771,a913),f925(x100771,a913))),f326(f326(f251(f925(x100771,a913),f925(x100771,a913)),x100772),x100774)),f317(x100771,x100776)))+~P105(f326(f326(f328(f924(f925(x100771,a913),f925(x100771,a913))),f326(f326(f251(f925(x100771,a913),f925(x100771,a913)),x100773),x100775)),f317(x100771,x100776)))+P105(f326(f326(f328(f924(f925(x100771,a913),f925(x100771,a913))),f326(f326(f251(f925(x100771,a913),f925(x100771,a913)),f326(f326(f101(f925(x100771,a913)),x100772),x100773)),f326(f326(f101(f925(x100771,a913)),x100774),x100775))),f317(x100771,x100776)))
% 225.14/225.11 [5854]~E(f326(f326(f134(x58541),x58546),x58543),x58545)+E(f326(f326(f134(x58541),x58542),x58543),f326(f326(f151(x58541),x58544),x58545))+~E(x58542,f326(f326(f151(x58541),x58544),x58546))
% 225.14/225.11 [5855]~E(f326(f326(f134(x58551),x58556),x58553),x58555)+E(f326(f326(f134(x58551),x58552),x58553),f326(f326(f134(x58551),x58554),x58555))+~E(x58552,f326(f326(f134(x58551),x58554),x58556))
% 225.14/225.11 [5857]E(f326(f326(f134(x58571),x58572),x58573),f326(f326(f151(x58571),x58574),x58575))+~E(f326(f326(f151(x58571),x58574),x58576),x58572)+~E(x58575,f326(f326(f134(x58571),x58576),x58573))
% 225.14/225.11 [5859]~E(f326(f326(f134(x58591),x58592),x58596),x58594)+E(f326(f326(f134(x58591),x58592),x58593),f326(f326(f134(x58591),x58594),x58595))+~E(x58593,f326(f326(f134(x58591),x58596),x58595))
% 225.14/225.11 [7011]E(f326(x70111,x70112),f326(x70113,x70112))+~E(f326(f326(f154(x70114,x70115),x70111),x70116),f326(f326(f154(x70114,x70115),x70113),x70116))+~P105(f326(f326(f328(x70114),x70112),f326(f172(x70114),x70116)))
% 225.14/225.11 [7397]~P19(x73974,x73975,x73976,x73971)+E(f326(f326(x73971,x73972),x73973),f326(f326(f63(x73974,x73975,x73976),x73973),x73972))+~P105(f326(f60(x73974),x73972))
% 225.14/225.11 [7468]~E(x74682,f326(x74684,x74686))+~P105(f326(f326(f328(x74683),x74686),x74685))+P105(f326(f326(f328(x74681),x74682),f326(f309(x74683,x74681,x74684),x74685)))
% 225.14/225.11 [7469]~E(f326(x74694,x74692),x74696)+~P105(f326(f326(f328(x74693),x74696),x74695))+P105(f326(f326(f328(x74691),x74692),f326(f310(x74691,x74693,x74694),x74695)))
% 225.14/225.11 [7920]~P32(x79201,x79202,x79204,x79206)+P32(x79201,x79202,f326(f326(f151(x79201),x79203),x79204),f326(f326(f151(x79201),x79205),x79206))+~P105(f326(f326(x79202,x79203),x79205))
% 225.14/225.11 [8929]~P56(x89294,x89295,x89291,x89292,x89296)+E(f326(x89291,f326(x89292,x89293)),x89293)+~P105(f326(f326(f328(x89295),x89293),x89296))
% 225.14/225.11 [9426]~P26(x94262,x94261,x94265,x94264,x94263)+E(f326(f90(x94261,x94262,x94263,f90(x94262,x94261,x94264,x94265)),x94266),f326(x94265,x94266))+~P105(f326(f326(f328(x94262),x94266),x94264))
% 225.14/225.11 [9437]~P25(x94371,x94372,x94373,x94376)+P25(x94371,x94372,f74(x94371,x94372,x94373,x94374,x94375),x94376)+P105(f326(f326(f328(x94372),x94375),f326(f309(x94371,x94372,x94373),x94376)))
% 225.14/225.11 [9749]E(x97491,x97492)+E(f326(f189(f918(x97493)),x97494),f326(f189(f918(x97493)),x97495))+~P105(f326(f326(f328(f924(f918(x97493),f918(x97493))),f326(f326(f251(f918(x97493),f918(x97493)),f326(f326(f151(x97493),x97491),x97494)),f326(f326(f151(x97493),x97492),x97495))),f145(x97493,x97496)))
% 225.14/225.11 [9812]~P16(x98121,x98122,x98123)+E(f326(f326(f63(x98121,x98122,x98123),x98124),x98125),x98126)+~P105(f326(f65(x98121,x98122,x98123,x98124,x98125),x98126))
% 225.14/225.11 [9820]E(f326(f189(f918(x98201)),x98202),f326(f189(f918(x98201)),x98203))+P105(f326(f326(f328(f924(f918(x98201),f918(x98201))),f326(f326(f251(f918(x98201),f918(x98201)),x98202),x98203)),f145(x98201,x98204)))+~P105(f326(f326(f328(f924(f918(x98201),f918(x98201))),f326(f326(f251(f918(x98201),f918(x98201)),f326(f326(f151(x98201),x98205),x98202)),f326(f326(f151(x98201),x98206),x98203))),f145(x98201,x98204)))
% 225.14/225.11 [9841]~P105(f326(f326(f328(f924(x98411,x98411)),f326(f326(f251(x98411,x98411),x98412),x98414)),f306(x98411,x98416)))+P105(f326(f326(f328(f924(f918(x98411),f918(x98411))),f326(f326(f251(f918(x98411),f918(x98411)),f326(f326(f151(x98411),x98412),x98413)),f326(f326(f151(x98411),x98414),x98415))),f306(f918(x98411),f157(x98411,x98416))))+~P105(f326(f326(f328(f924(f918(x98411),f918(x98411))),f326(f326(f251(f918(x98411),f918(x98411)),x98413),x98415)),f306(f918(x98411),f157(x98411,x98416))))
% 225.14/225.11 [10018]~P105(f326(x100182,x100186))+~E(f326(f136(x100181,x100182),x100183),f326(f326(f151(x100181),x100184),x100185))+~P105(f326(f326(f328(x100181),x100186),f326(f172(x100181),f744(x100185,x100184,x100183,x100182,x100181))))
% 225.14/225.11 [10019]~P105(f326(x100194,x100196))+~E(f326(f326(f151(x100191),x100192),x100193),f326(f136(x100191,x100194),x100195))+~P105(f326(f326(f328(x100191),x100196),f326(f172(x100191),f747(x100195,x100194,x100193,x100192,x100191))))
% 225.14/225.11 [10340]~P70(x103402)+E(f326(f326(f8(x103401,x103402),f326(f326(f10(f925(x103403,a913),x103402,x103401),f326(f8(x103403,x103402),x103404)),f326(f326(f10(f925(x103403,a913),f925(x103403,a913),x103401),f261(x103403)),f326(f326(f10(f925(x103403,a913),f925(x103403,a913),x103401),f326(f20(x103403,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103403),a324),f326(f326(f9(x103403,f925(x103403,a913),a913),f328(x103403)),x103405)))),f326(f9(x103403,x103401,a913),f326(f326(f10(x103401,f925(x103401,a913),x103403),a323),x103406)))))),f326(f309(x103403,x103401,x103406),x103405)),f326(f326(f8(x103403,x103402),x103404),x103405))+~P105(f326(f60(x103403),x103405))
% 225.14/225.11 [7069]~P108(x70693)+P105(f326(x70692,x70695))+E(f326(f136(x70691,x70692),f326(f326(f148(x70691,x70693,x70694),x70695),x70696)),f326(f136(x70691,x70692),x70696))
% 225.14/225.11 [7071]P105(f326(x70711,x70712))+~E(f166(x70713,x70711,x70714),f326(f326(f251(f918(x70713),f918(x70713)),x70715),x70716))+~P105(f326(f326(f328(x70713),x70712),f326(f172(x70713),x70715)))
% 225.14/225.11 [7115]~P105(f326(x71152,x71156))+~E(f166(x71151,x71152,x71153),f326(f326(f251(f918(x71151),f918(x71151)),x71154),x71155))+~P105(f326(f326(f328(x71151),x71156),f326(f172(x71151),x71155)))
% 225.14/225.11 [7782]~P14(x77821,x77822,x77823)+~P105(f326(f60(x77821),x77826))+E(f326(f326(f63(x77821,x77822,x77823),x77824),f326(f326(f308(x77821),x77825),x77826)),f326(f326(f63(x77821,x77822,x77823),f326(f326(x77823,x77825),x77824)),x77826))
% 225.14/225.11 [7835]~P108(x78352)+~P105(f326(f326(f234(x78352),f326(x78353,x78354)),f326(x78353,x78355)))+E(f326(f326(f148(x78351,x78352,x78353),x78354),f326(f326(f151(x78351),x78355),x78356)),f326(f326(f151(x78351),x78354),f326(f326(f151(x78351),x78355),x78356)))
% 225.14/225.11 [7948]E(x79481,x79482)+~E(f326(f326(f253(x79483,x79484),x79481),f326(f18(f925(x79484,a913),x79483),x79485)),f326(f326(f253(x79483,x79484),x79482),f326(f18(f925(x79484,a913),x79483),x79485)))+~P105(f326(f326(f328(x79484),x79486),x79485))
% 225.14/225.11 [8013]~P14(x80131,x80132,x80133)+~P105(f326(f60(x80131),x80136))+E(f326(f326(f63(x80131,x80132,x80133),x80134),f326(f326(f308(x80131),x80135),x80136)),f326(f326(x80133,x80135),f326(f326(f63(x80131,x80132,x80133),x80134),x80136)))
% 225.14/225.11 [8131]~P16(x81311,x81312,x81313)+~P105(f326(f60(x81311),x81316))+E(f326(f326(f63(x81311,x81312,x81313),f326(f326(x81313,x81314),x81315)),x81316),f326(f326(x81313,x81314),f326(f326(f63(x81311,x81312,x81313),x81315),x81316)))
% 225.14/225.11 [8200]~P20(x82002,x82005,x82006,x82001)+~P105(f326(f60(x82002),x82004))+E(f326(x82001,f326(f326(f308(x82002),x82003),x82004)),f326(f72(x82005,x82005,x82005,f326(x82001,x82004)),f326(x82006,x82003)))
% 225.14/225.11 [8232]~P108(x82322)+P105(f326(f326(f234(x82322),f326(x82323,x82324)),f326(x82323,x82325)))+E(f326(f326(f148(x82321,x82322,x82323),x82324),f326(f326(f151(x82321),x82325),x82326)),f326(f326(f151(x82321),x82325),f326(f326(f148(x82321,x82322,x82323),x82324),x82326)))
% 225.14/225.11 [8374]~E(f326(f189(f918(x83741)),x83745),f326(f189(f918(x83742)),x83746))+~E(f326(f189(f918(x83741)),x83743),f326(f189(f918(x83742)),x83744))+E(f326(f326(f134(f924(x83741,x83742)),f326(f326(f181(x83741,x83742),x83743),x83744)),f326(f326(f181(x83741,x83742),x83745),x83746)),f326(f326(f181(x83741,x83742),f326(f326(f134(x83741),x83743),x83745)),f326(f326(f134(x83742),x83744),x83746)))
% 225.14/225.11 [8485]~E(x84852,f326(f309(x84853,x84851,x84854),x84856))+P105(f326(f326(f234(f925(x84851,a913)),x84852),f326(f309(x84853,x84851,x84854),x84855)))+~P105(f326(f326(f234(f925(x84853,a913)),x84856),x84855))
% 225.14/225.11 [8586]~P108(x85865)+E(f326(x85861,x85862),f326(x85861,x85863))+E(f326(f326(f148(x85864,x85865,x85861),x85862),f326(f326(f148(x85864,x85865,x85861),x85863),x85866)),f326(f326(f148(x85864,x85865,x85861),x85863),f326(f326(f148(x85864,x85865,x85861),x85862),x85866)))
% 225.14/225.11 [8759]~P105(f326(f326(f328(x87592),x87594),f326(x87596,x87593)))+~P105(f326(f326(f328(x87591),x87593),x87595))+P105(f326(f326(f328(f924(x87591,x87592)),f326(f326(f251(x87591,x87592),x87593),x87594)),f326(f326(f253(x87591,x87592),x87595),x87596)))
% 225.14/225.11 [9233]~P70(x92332)+~P25(x92334,x92331,x92335,x92336)+E(f326(f326(f8(x92331,x92332),x92333),f326(f309(x92334,x92331,x92335),x92336)),f326(f326(f8(x92334,x92332),f326(f72(x92331,x92332,x92334,x92333),x92335)),x92336))
% 225.14/225.11 [9234]~P69(x92342)+~P25(x92344,x92341,x92345,x92346)+E(f326(f326(f11(x92341,x92342),x92343),f326(f309(x92344,x92341,x92345),x92346)),f326(f326(f11(x92344,x92342),f326(f72(x92341,x92342,x92344,x92343),x92345)),x92346))
% 225.14/225.11 [9281]~P34(x92812,x92815,x92811,x92813,x92816)+P105(f326(f326(x92811,f326(f326(f164(x92812),x92813),x92814)),f326(f326(f164(x92815),x92816),x92814)))+~P105(f326(f326(f235(a917),x92814),f326(f189(f918(x92815)),x92816)))
% 225.14/225.11 [9282]~P34(x92822,x92825,x92821,x92823,x92826)+P105(f326(f326(x92821,f326(f326(f164(x92822),x92823),x92824)),f326(f326(f164(x92825),x92826),x92824)))+~P105(f326(f326(f235(a917),x92824),f326(f189(f918(x92822)),x92823)))
% 225.14/225.11 [9293]~E(f326(f309(x92931,x92932,x92933),x92934),x92936)+E(f326(f309(x92931,x92932,x92933),f326(f309(x92932,x92931,f90(x92931,x92932,x92934,x92933)),x92935)),x92935)+~P105(f326(f326(f234(f925(x92932,a913)),x92935),x92936))
% 225.14/225.11 [9496]~P19(x94963,x94961,x94966,x94962)+~P105(f326(f60(x94963),x94964))+E(f326(f72(x94961,x94961,x94961,f326(x94962,f326(f326(f3(f925(x94963,a913)),x94964),f326(f326(f308(x94963),x94965),f188(f925(x94963,a913)))))),f326(x94966,x94965)),f326(x94962,f326(f326(f308(x94963),x94965),x94964)))
% 225.14/225.11 [10107]~E(f326(f309(x101072,x101074,x101076),f241(f925(x101072,a913))),f241(f925(x101074,a913)))+~E(f326(f309(x101071,x101073,x101075),f241(f925(x101071,a913))),f241(f925(x101073,a913)))+E(f326(f309(f924(x101071,x101072),f924(x101073,x101074),f257(x101071,x101073,x101072,x101074,x101075,x101076)),f241(f925(f924(x101071,x101072),a913))),f241(f925(f924(x101073,x101074),a913)))
% 225.14/225.11 [10165]~P25(x101653,x101654,x101655,f326(x101656,f538(x101656,x101655,x101654,x101653,x101652,x101651)))+P25(x101653,x101654,x101655,f326(f326(f39(x101652,f925(x101653,a913)),x101651),x101656))+E(x101651,f188(f925(x101652,a913)))
% 225.14/225.11 [10222]P25(x102226,x102225,x102224,f326(f326(f39(x102222,f925(x102226,a913)),x102221),x102223))+E(x102221,f188(f925(x102222,a913)))+P105(f326(f326(f328(x102222),f538(x102223,x102224,x102225,x102226,x102222,x102221)),x102221))
% 225.14/225.11 [10227]P105(f326(f326(f328(x102271),f606(x102272,x102273,x102274,x102275,x102276,x102271)),x102276))+P105(f326(f326(f234(f925(f924(x102271,x102274),a913)),f326(f326(f253(x102271,x102274),x102276),x102273)),f326(f326(f253(x102271,x102274),x102275),x102272)))+~P105(f326(f326(f234(f925(x102271,a913)),x102276),x102275))
% 225.14/225.11 [10270]P24(x102706,x102705,f326(f326(f308(f916(x102706)),f91(x102706,x102701,x102703,x102702)),f188(f925(f916(x102706),a913))))+~P24(x102706,x102705,f326(f326(f308(f916(x102706)),f91(x102706,x102704,x102703,x102702)),f188(f925(f916(x102706),a913))))+P105(f326(f326(x102701,f553(x102701,x102702,x102703,x102704,x102705,x102706)),f664(x102701,x102702,x102703,x102704,x102705,x102706)))
% 225.14/225.11 [10271]P24(x102716,x102715,f326(f326(f308(f916(x102716)),f91(x102716,x102714,x102713,x102712)),f188(f925(f916(x102716),a913))))+~P24(x102716,x102715,f326(f326(f308(f916(x102716)),f91(x102716,x102714,x102713,x102711)),f188(f925(f916(x102716),a913))))+P105(f326(f326(x102711,f781(x102712,x102711,x102713,x102714,x102715,x102716)),f870(x102712,x102711,x102713,x102714,x102715,x102716)))
% 225.14/225.11 [10314]~P24(x103141,x103142,f326(f326(f308(f916(x103141)),f91(x103141,x103143,x103144,x103146)),f188(f925(f916(x103141),a913))))+P24(x103141,x103142,f326(f326(f308(f916(x103141)),f91(x103141,x103143,x103144,x103145)),f188(f925(f916(x103141),a913))))+~P105(f326(f326(x103145,f781(x103145,x103146,x103144,x103143,x103142,x103141)),f870(x103145,x103146,x103144,x103143,x103142,x103141)))
% 225.14/225.11 [10315]~P24(x103151,x103152,f326(f326(f308(f916(x103151)),f91(x103151,x103156,x103154,x103155)),f188(f925(f916(x103151),a913))))+P24(x103151,x103152,f326(f326(f308(f916(x103151)),f91(x103151,x103153,x103154,x103155)),f188(f925(f916(x103151),a913))))+~P105(f326(f326(x103156,f553(x103153,x103155,x103154,x103156,x103152,x103151)),f664(x103153,x103155,x103154,x103156,x103152,x103151)))
% 225.14/225.11 [10354]~P105(f326(f326(f234(f925(x103542,a913)),f326(x103544,f606(x103546,x103544,x103542,x103545,x103543,x103541))),f326(x103546,f606(x103546,x103544,x103542,x103545,x103543,x103541))))+~P105(f326(f326(f234(f925(x103541,a913)),x103543),x103545))+P105(f326(f326(f234(f925(f924(x103541,x103542),a913)),f326(f326(f253(x103541,x103542),x103543),x103544)),f326(f326(f253(x103541,x103542),x103545),x103546)))
% 225.14/225.11 [7970]~P105(f326(x79701,x79705))+~P105(f326(x79706,x79704))+P105(f326(x79701,f326(f255(x79702,x79703),f326(f326(f251(x79702,x79703),x79704),x79705))))
% 225.14/225.11 [7971]~P105(f326(x79711,x79714))+~P105(f326(x79716,x79715))+P105(f326(x79711,f326(f250(x79712,x79713),f326(f326(f251(x79712,x79713),x79714),x79715))))
% 225.14/225.11 [8018]~P105(f326(f326(x80184,x80186),x80185))+~P105(f326(f326(f328(x80181),x80186),x80183))+P105(f326(f326(f326(f38(x80181,f925(x80182,a913)),x80183),x80184),x80185))
% 225.14/225.11 [8324]~P105(f326(f326(f328(x83241),x83242),f326(x83245,x83246)))+~P105(f326(f326(f328(x83243),x83246),x83244))+P105(f326(f326(f328(x83241),x83242),f326(f326(f38(x83243,f925(x83241,a913)),x83244),x83245)))
% 225.14/225.11 [8368]P105(f326(f326(x83681,x83682),x83683))+~P105(f326(f326(x83684,x83682),x83683))+~P105(f326(f326(f234(f925(x83685,f925(x83686,a913))),x83684),x83681))
% 225.14/225.11 [8508]P105(f326(f326(x85081,x85082),x85083))+~P105(f326(f326(f328(x85084),x85082),x85085))+~P105(f326(f326(f326(f39(x85084,f925(x85086,a913)),x85085),x85081),x85083))
% 225.14/225.11 [8641]P105(f326(f326(f328(x86411),x86412),f326(x86413,x86414)))+~P105(f326(f326(f328(x86415),x86414),x86416))+~P105(f326(f326(f328(x86411),x86412),f326(f326(f39(x86415,f925(x86411,a913)),x86416),x86413)))
% 225.14/225.11 [8908]~P11(x89084,x89085,x89086,x89081)+E(f326(x89081,x89082),f326(x89081,x89083))+~P105(f326(f326(f328(f924(x89084,x89084)),f326(f326(f251(x89084,x89084),x89082),x89083)),x89086))
% 225.14/225.11 [8943]P105(f326(f326(f234(f925(x89431,a913)),x89432),f326(x89433,x89434)))+~P105(f326(f326(f328(x89435),x89434),x89436))+~P105(f326(f326(f234(f925(x89431,a913)),x89432),f326(f326(f39(x89435,f925(x89431,a913)),x89436),x89433)))
% 225.14/225.11 [8976]~P54(x89763,x89764,f326(f285(x89764,x89763),x89765))+E(x89761,f188(f925(x89762,a913)))+E(f326(f326(f39(x89762,f925(x89763,a913)),x89761),f326(f326(f10(f925(x89764,a913),f925(x89763,a913),x89762),f284(x89764,x89763,x89765)),x89766)),f326(f284(x89764,x89763,x89765),f326(f326(f39(x89762,f925(x89764,a913)),x89761),x89766)))
% 225.14/225.11 [9054]P105(f326(f326(f328(x90541),x90542),f326(f284(x90543,x90541,x90544),x90545)))+~P105(f326(f326(f328(x90543),x90546),x90545))+~P105(f326(f326(f328(f924(x90543,x90541)),f326(f326(f251(x90543,x90541),x90546),x90542)),x90544))
% 225.14/225.11 [9358]P105(f326(f326(f234(f925(x93581,a913)),f326(f284(x93582,x93581,x93583),x93584)),f326(f284(x93582,x93581,x93585),x93586)))+~P105(f326(f326(f234(f925(x93582,a913)),x93584),x93586))+~P105(f326(f326(f234(f925(f924(x93582,x93581),a913)),x93583),x93585))
% 225.14/225.11 [9545]~P105(f326(f326(f328(x95452),x95456),x95454))+~P105(f326(f326(f234(f925(x95451,a913)),x95453),x95455))+P105(f326(f326(f234(f925(f924(x95451,x95452),a913)),f326(f326(f253(x95451,x95452),x95453),f326(f18(f925(x95452,a913),x95451),x95454))),f326(f326(f253(x95451,x95452),x95455),f326(f18(f925(x95452,a913),x95451),x95454))))
% 225.14/225.11 [9557]~P34(x95571,x95572,x95573,x95575,x95576)+P105(f326(f326(f256(x95571,x95572,a913),x95573),x95574))+~P105(f326(f326(f328(f924(x95571,x95572)),x95574),f326(f172(f924(x95571,x95572)),f326(f326(f181(x95571,x95572),x95575),x95576))))
% 225.14/225.11 [9703]~E(x97033,x97035)+P105(f326(f326(f328(f924(f918(x97031),f918(x97031))),f326(f326(f251(f918(x97031),f918(x97031)),f326(f326(f151(x97031),x97032),x97033)),f326(f326(f151(x97031),x97034),x97035))),f157(x97031,x97036)))+~P105(f326(f326(f328(f924(x97031,x97031)),f326(f326(f251(x97031,x97031),x97032),x97034)),x97036))
% 225.14/225.11 [9709]~E(f326(f189(f918(x97091)),x97093),f326(f189(f918(x97091)),x97095))+P105(f326(f326(f328(f924(f918(x97091),f918(x97091))),f326(f326(f251(f918(x97091),f918(x97091)),f326(f326(f151(x97091),x97092),x97093)),f326(f326(f151(x97091),x97094),x97095))),f145(x97091,x97096)))+~P105(f326(f326(f328(f924(x97091,x97091)),f326(f326(f251(x97091,x97091),x97092),x97094)),x97096))
% 225.14/225.11 [9741]P105(f326(f326(f328(f924(x97411,x97411)),f326(f326(f251(x97411,x97411),x97412),x97413)),f326(f326(f183(f924(x97411,x97411),a913),f326(a112,x97414)),x97415)))+~P105(f326(f326(f328(f924(x97411,x97411)),f326(f326(f251(x97411,x97411),x97416),x97413)),x97415))+~P105(f326(f326(f328(f924(x97411,x97411)),f326(f326(f251(x97411,x97411),x97412),x97416)),f326(f326(f183(f924(x97411,x97411),a913),x97414),x97415)))
% 225.14/225.11 [9742]P105(f326(f326(f328(f924(x97421,x97421)),f326(f326(f251(x97421,x97421),x97422),x97423)),f326(f326(f183(f924(x97421,x97421),a913),f326(a112,x97424)),x97425)))+~P105(f326(f326(f328(f924(x97421,x97421)),f326(f326(f251(x97421,x97421),x97422),x97426)),x97425))+~P105(f326(f326(f328(f924(x97421,x97421)),f326(f326(f251(x97421,x97421),x97426),x97423)),f326(f326(f183(f924(x97421,x97421),a913),x97424),x97425)))
% 225.14/225.11 [9745]~P105(f326(f326(f328(x97454),x97455),x97456))+P105(f326(f326(f234(f925(x97451,a913)),x97452),x97453))+~P105(f326(f326(f234(f925(f924(x97451,x97454),a913)),f326(f326(f253(x97451,x97454),x97452),f326(f18(f925(x97454,a913),x97451),x97456))),f326(f326(f253(x97451,x97454),x97453),f326(f18(f925(x97454,a913),x97451),x97456))))
% 225.14/225.11 [9790]E(x97901,x97902)+~P105(f326(f326(f328(f924(f918(x97903),f918(x97903))),f326(f326(f251(f918(x97903),f918(x97903)),f326(f326(f151(x97903),x97901),x97905)),f326(f326(f151(x97903),x97902),x97906))),f145(x97903,x97904)))+P105(f326(f326(f328(f924(x97903,x97903)),f326(f326(f251(x97903,x97903),x97901),x97902)),x97904))
% 225.14/225.11 [9791]E(x97911,x97912)+~P105(f326(f326(f328(f924(f918(x97913),f918(x97913))),f326(f326(f251(f918(x97913),f918(x97913)),f326(f326(f151(x97913),x97911),x97915)),f326(f326(f151(x97913),x97912),x97916))),f147(x97913,x97914)))+P105(f326(f326(f328(f924(x97913,x97913)),f326(f326(f251(x97913,x97913),x97911),x97912)),x97914))
% 225.14/225.11 [9792]E(x97921,x97922)+~P105(f326(f326(f328(f924(f918(x97923),f918(x97923))),f326(f326(f251(f918(x97923),f918(x97923)),f326(f326(f151(x97923),x97921),x97925)),f326(f326(f151(x97923),x97922),x97926))),f157(x97923,x97924)))+P105(f326(f326(f328(f924(x97923,x97923)),f326(f326(f251(x97923,x97923),x97921),x97922)),x97924))
% 225.14/225.11 [9828]P105(f326(f326(f328(f924(f918(x98281),f918(x98281))),f326(f326(f251(f918(x98281),f918(x98281)),f326(f326(f151(x98281),x98282),x98283)),f326(f326(f151(x98281),x98284),x98285))),f158(x98281,x98286)))+~P105(f326(f326(f328(f924(f918(x98281),f918(x98281))),f326(f326(f251(f918(x98281),f918(x98281)),x98283),x98285)),f158(x98281,x98286)))+~P105(f326(f326(f328(f924(x98281,x98281)),f326(f326(f251(x98281,x98281),x98282),x98284)),x98286))
% 225.14/225.11 [9845]P105(f326(x98451,x98452))+~P105(f326(x98451,f504(x98451,x98453,x98454,x98455,x98456)))+~P105(f326(f326(f328(x98456),x98452),f326(f326(f38(x98455,f925(x98456,a913)),x98454),x98453)))
% 225.14/225.11 [9850]~P105(f326(f326(f328(f924(f918(x98501),f918(x98501))),f326(f326(f251(f918(x98501),f918(x98501)),f326(f326(f151(x98501),x98502),x98505)),f326(f326(f151(x98501),x98503),x98506))),f145(x98501,x98504)))+P105(f326(f326(f328(f924(f918(x98501),f918(x98501))),f326(f326(f251(f918(x98501),f918(x98501)),x98505),x98506)),f145(x98501,x98504)))+P105(f326(f326(f328(f924(x98501,x98501)),f326(f326(f251(x98501,x98501),x98502),x98503)),x98504))
% 225.14/225.11 [9851]~P105(f326(f326(f328(f924(f918(x98511),f918(x98511))),f326(f326(f251(f918(x98511),f918(x98511)),f326(f326(f151(x98511),x98512),x98515)),f326(f326(f151(x98511),x98513),x98516))),f147(x98511,x98514)))+P105(f326(f326(f328(f924(f918(x98511),f918(x98511))),f326(f326(f251(f918(x98511),f918(x98511)),x98515),x98516)),f147(x98511,x98514)))+P105(f326(f326(f328(f924(x98511,x98511)),f326(f326(f251(x98511,x98511),x98512),x98513)),x98514))
% 225.14/225.11 [9852]~P105(f326(f326(f328(f924(f918(x98521),f918(x98521))),f326(f326(f251(f918(x98521),f918(x98521)),f326(f326(f151(x98521),x98522),x98525)),f326(f326(f151(x98521),x98523),x98526))),f157(x98521,x98524)))+P105(f326(f326(f328(f924(f918(x98521),f918(x98521))),f326(f326(f251(f918(x98521),f918(x98521)),x98525),x98526)),f157(x98521,x98524)))+P105(f326(f326(f328(f924(x98521,x98521)),f326(f326(f251(x98521,x98521),x98522),x98523)),x98524))
% 225.14/225.11 [9941]P105(f326(x99411,x99412))+P105(f326(f326(f328(x99413),f505(x99411,x99414,x99415,x99413,x99416)),x99415))+~P105(f326(f326(f328(x99416),x99412),f326(f326(f38(x99413,f925(x99416,a913)),x99415),x99414)))
% 225.14/225.11 [9952]~E(x99522,x99524)+P105(f326(f326(f328(f924(f918(x99521),f918(x99521))),f326(f326(f251(f918(x99521),f918(x99521)),f326(f326(f134(x99521),x99522),f326(f326(f151(x99521),x99523),f113(x99521)))),f326(f326(f134(x99521),x99524),f326(f326(f151(x99521),x99525),f113(x99521))))),f157(x99521,x99526)))+~P105(f326(f326(f328(f924(x99521,x99521)),f326(f326(f251(x99521,x99521),x99523),x99525)),x99526))
% 225.14/225.11 [10026]E(x100261,x100262)+~P105(f326(f326(f328(f924(f918(x100263),f918(x100263))),f326(f326(f251(f918(x100263),f918(x100263)),f326(f326(f134(x100263),x100265),f326(f326(f151(x100263),x100261),f113(x100263)))),f326(f326(f134(x100263),x100266),f326(f326(f151(x100263),x100262),f113(x100263))))),f157(x100263,x100264)))+P105(f326(f326(f328(f924(x100263,x100263)),f326(f326(f251(x100263,x100263),x100261),x100262)),x100264))
% 225.14/225.11 [10058]~P105(f326(f326(f328(f924(f918(x100581),f918(x100581))),f326(f326(f251(f918(x100581),f918(x100581)),f326(f326(f134(x100581),x100585),f326(f326(f151(x100581),x100582),f113(x100581)))),f326(f326(f134(x100581),x100586),f326(f326(f151(x100581),x100583),f113(x100581))))),f157(x100581,x100584)))+P105(f326(f326(f328(f924(f918(x100581),f918(x100581))),f326(f326(f251(f918(x100581),f918(x100581)),x100585),x100586)),f157(x100581,x100584)))+P105(f326(f326(f328(f924(x100581,x100581)),f326(f326(f251(x100581,x100581),x100582),x100583)),x100584))
% 225.14/225.11 [10078]P105(f326(x100781,x100782))+P105(f326(f326(f328(x100783),f504(x100781,x100784,x100785,x100786,x100783)),f326(x100784,f505(x100781,x100784,x100785,x100786,x100783))))+~P105(f326(f326(f328(x100783),x100782),f326(f326(f38(x100786,f925(x100783,a913)),x100785),x100784)))
% 225.14/225.11 [10231]P105(f326(f326(f328(x102311),f837(x102312,x102313,x102314,x102315,x102316,x102311)),x102315))+~P105(f326(f326(f234(f925(x102311,a913)),x102316),x102315))+P105(f326(f326(f234(f925(x102314,a913)),f326(f326(f39(x102311,f925(x102314,a913)),x102315),x102313)),f326(f326(f39(x102311,f925(x102314,a913)),x102315),x102312)))
% 225.14/225.11 [10355]~P105(f326(f326(f234(f925(x103551,a913)),f326(x103554,f837(x103555,x103554,x103551,x103553,x103556,x103552))),f326(x103555,f837(x103555,x103554,x103551,x103553,x103556,x103552))))+~P105(f326(f326(f234(f925(x103552,a913)),x103556),x103553))+P105(f326(f326(f234(f925(x103551,a913)),f326(f326(f39(x103552,f925(x103551,a913)),x103553),x103554)),f326(f326(f39(x103552,f925(x103551,a913)),x103553),x103555)))
% 225.14/225.11 [9074]~P16(x90743,x90744,x90741)+~P105(f326(f60(x90743),x90746))+E(f326(f326(x90741,x90742),f326(f326(f63(x90743,x90744,x90741),x90745),f326(f326(f3(f925(x90743,a913)),x90746),f326(f326(f308(x90743),x90742),f188(f925(x90743,a913)))))),f326(f326(f63(x90743,x90744,x90741),x90745),f326(f326(f308(x90743),x90742),x90746)))
% 225.14/225.11 [9367]~P105(f326(f326(f328(x93675),x93673),x93676))+P105(f326(f326(f234(f925(x93671,a913)),f326(x93672,x93673)),x93674))+~P105(f326(f326(f234(f925(x93671,a913)),f326(f326(f38(x93675,f925(x93671,a913)),x93676),x93672)),x93674))
% 225.14/225.11 [10001]~P8(x100011,x100015,x100014)+P105(f326(f326(f328(f924(x100011,x100011)),f326(f326(f251(x100011,x100011),x100012),x100013)),x100014))+~P105(f326(f326(f328(x100011),x100016),f326(f326(f102(f925(x100011,a913)),f326(f284(x100011,x100011,x100014),f326(f326(f308(x100011),x100012),f188(f925(x100011,a913))))),f326(f284(x100011,x100011,x100014),f326(f326(f308(x100011),x100013),f188(f925(x100011,a913)))))))
% 225.14/225.11 [8796]~P110(x87962)+~E(f326(f326(f79(x87962),f326(f326(f80(x87962),x87964),x87965)),x87961),f326(f326(f79(x87962),f326(f326(f80(x87962),x87963),x87965)),x87966))+E(x87961,f326(f326(f79(x87962),f326(f326(f80(x87962),f326(f326(f3(x87962),x87963),x87964)),x87965)),x87966))
% 225.14/225.11 [8797]~P110(x87971)+~E(f326(f326(f79(x87971),f326(f326(f80(x87971),x87972),x87974)),x87975),f326(f326(f79(x87971),f326(f326(f80(x87971),x87973),x87974)),x87976))+E(f326(f326(f79(x87971),f326(f326(f80(x87971),f326(f326(f3(x87971),x87972),x87973)),x87974)),x87975),x87976)
% 225.14/225.11 [8979]~P110(x89791)+E(f326(f326(f79(x89791),f326(f326(f80(x89791),x89792),x89793)),x89794),f326(f326(f79(x89791),f326(f326(f80(x89791),x89795),x89793)),x89796))+~E(x89796,f326(f326(f79(x89791),f326(f326(f80(x89791),f326(f326(f3(x89791),x89792),x89795)),x89793)),x89794))
% 225.14/225.11 [8980]~P110(x89801)+E(f326(f326(f79(x89801),f326(f326(f80(x89801),x89802),x89803)),x89804),f326(f326(f79(x89801),f326(f326(f80(x89801),x89805),x89803)),x89806))+~E(f326(f326(f79(x89801),f326(f326(f80(x89801),f326(f326(f3(x89801),x89802),x89805)),x89803)),x89804),x89806)
% 225.14/225.11 [9304]~P105(f326(f326(x93044,x93045),x93046))+~P105(f326(f326(x93043,x93045),x93046))+P105(f326(f326(f326(f326(f102(f925(x93041,f925(x93042,a913))),x93043),x93044),x93045),x93046))
% 225.14/225.11 [9566]P105(f326(f326(x95661,x95662),x95663))+P105(f326(f326(x95664,x95662),x95663))+~P105(f326(f326(f326(f326(f101(f925(x95665,f925(x95666,a913))),x95664),x95661),x95662),x95663))
% 225.14/225.11 [9865]~P111(x98651)+~P105(f326(f326(f234(x98651),f326(f326(f79(x98651),f326(f326(f80(x98651),x98654),x98655)),x98652)),f326(f326(f79(x98651),f326(f326(f80(x98651),x98653),x98655)),x98656)))+P105(f326(f326(f234(x98651),x98652),f326(f326(f79(x98651),f326(f326(f80(x98651),f326(f326(f3(x98651),x98653),x98654)),x98655)),x98656)))
% 225.14/225.11 [9866]~P111(x98661)+~P105(f326(f326(f235(x98661),f326(f326(f79(x98661),f326(f326(f80(x98661),x98664),x98665)),x98662)),f326(f326(f79(x98661),f326(f326(f80(x98661),x98663),x98665)),x98666)))+P105(f326(f326(f235(x98661),x98662),f326(f326(f79(x98661),f326(f326(f80(x98661),f326(f326(f3(x98661),x98663),x98664)),x98665)),x98666)))
% 225.14/225.11 [9890]~P111(x98901)+P105(f326(f326(f234(x98901),f326(f326(f79(x98901),f326(f326(f80(x98901),x98902),x98903)),x98904)),f326(f326(f79(x98901),f326(f326(f80(x98901),x98905),x98903)),x98906)))+~P105(f326(f326(f234(x98901),x98904),f326(f326(f79(x98901),f326(f326(f80(x98901),f326(f326(f3(x98901),x98905),x98902)),x98903)),x98906)))
% 225.14/225.11 [9891]~P111(x98911)+P105(f326(f326(f235(x98911),f326(f326(f79(x98911),f326(f326(f80(x98911),x98912),x98913)),x98914)),f326(f326(f79(x98911),f326(f326(f80(x98911),x98915),x98913)),x98916)))+~P105(f326(f326(f235(x98911),x98914),f326(f326(f79(x98911),f326(f326(f80(x98911),f326(f326(f3(x98911),x98915),x98912)),x98913)),x98916)))
% 225.14/225.11 [9993]~P111(x99931)+~P105(f326(f326(f234(x99931),f326(f326(f79(x99931),f326(f326(f80(x99931),x99932),x99934)),x99935)),f326(f326(f79(x99931),f326(f326(f80(x99931),x99933),x99934)),x99936)))+P105(f326(f326(f234(x99931),f326(f326(f79(x99931),f326(f326(f80(x99931),f326(f326(f3(x99931),x99932),x99933)),x99934)),x99935)),x99936))
% 225.14/225.11 [9994]~P111(x99941)+~P105(f326(f326(f235(x99941),f326(f326(f79(x99941),f326(f326(f80(x99941),x99942),x99944)),x99945)),f326(f326(f79(x99941),f326(f326(f80(x99941),x99943),x99944)),x99946)))+P105(f326(f326(f235(x99941),f326(f326(f79(x99941),f326(f326(f80(x99941),f326(f326(f3(x99941),x99942),x99943)),x99944)),x99945)),x99946))
% 225.14/225.11 [10041]~P111(x100411)+P105(f326(f326(f234(x100411),f326(f326(f79(x100411),f326(f326(f80(x100411),x100412),x100413)),x100414)),f326(f326(f79(x100411),f326(f326(f80(x100411),x100415),x100413)),x100416)))+~P105(f326(f326(f234(x100411),f326(f326(f79(x100411),f326(f326(f80(x100411),f326(f326(f3(x100411),x100412),x100415)),x100413)),x100414)),x100416))
% 225.14/225.11 [10042]~P111(x100421)+P105(f326(f326(f235(x100421),f326(f326(f79(x100421),f326(f326(f80(x100421),x100422),x100423)),x100424)),f326(f326(f79(x100421),f326(f326(f80(x100421),x100425),x100423)),x100426)))+~P105(f326(f326(f235(x100421),f326(f326(f79(x100421),f326(f326(f80(x100421),f326(f326(f3(x100421),x100422),x100425)),x100423)),x100424)),x100426))
% 225.14/225.11 [10216]~P70(x102162)+~P105(f326(f60(x102161),x102166))+E(f326(f326(f8(x102161,x102162),f326(f326(f20(x102161,x102162,x102162),f326(f326(f20(x102161,x102162,f925(x102162,x102162)),f326(f326(f10(a913,f925(x102162,f925(x102162,x102162)),x102161),f96(x102162)),x102163)),x102164)),x102165)),x102166),f326(f326(f79(x102162),f326(f326(f8(x102161,x102162),x102164),f326(f326(f102(f925(x102161,a913)),x102166),f326(f261(x102161),x102163)))),f326(f326(f8(x102161,x102162),x102165),f326(f326(f102(f925(x102161,a913)),x102166),f326(f78(f925(x102161,a913)),f326(f261(x102161),x102163))))))
% 225.14/225.11 [10278]P105(f326(f326(f328(x102782),x102784),x102786))+P105(f326(f326(f328(x102782),x102785),x102786))+E(f326(f310(x102781,x102782,f326(f326(f9(x102781,x102782,x102782),f326(f326(f9(x102781,x102782,f925(x102782,x102782)),f326(f326(f10(a913,f925(x102782,f925(x102782,x102782)),x102781),f96(x102782)),f326(f326(f9(x102781,f925(x102781,a913),a913),f328(x102781)),x102783))),x102784)),x102785)),x102786),f188(f925(x102781,a913)))
% 225.14/225.11 [10279]P105(f326(f326(f328(x102792),x102795),x102796))+~P105(f326(f326(f328(x102792),x102794),x102796))+E(f326(f310(x102791,x102792,f326(f326(f9(x102791,x102792,x102792),f326(f326(f9(x102791,x102792,f925(x102792,x102792)),f326(f326(f10(a913,f925(x102792,f925(x102792,x102792)),x102791),f96(x102792)),f326(f326(f9(x102791,f925(x102791,a913),a913),f328(x102791)),x102793))),x102794)),x102795)),x102796),x102793)
% 225.14/225.11 [10280]P105(f326(f326(f328(x102802),x102804),x102806))+~P105(f326(f326(f328(x102802),x102805),x102806))+E(f326(f310(x102801,x102802,f326(f326(f9(x102801,x102802,x102802),f326(f326(f9(x102801,x102802,f925(x102802,x102802)),f326(f326(f10(a913,f925(x102802,f925(x102802,x102802)),x102801),f96(x102802)),f326(f326(f9(x102801,f925(x102801,a913),a913),f328(x102801)),x102803))),x102804)),x102805)),x102806),f326(f78(f925(x102801,a913)),x102803))
% 225.14/225.11 [10281]~P105(f326(f326(f328(x102812),x102814),x102816))+~P105(f326(f326(f328(x102812),x102815),x102816))+E(f326(f310(x102811,x102812,f326(f326(f9(x102811,x102812,x102812),f326(f326(f9(x102811,x102812,f925(x102812,x102812)),f326(f326(f10(a913,f925(x102812,f925(x102812,x102812)),x102811),f96(x102812)),f326(f326(f9(x102811,f925(x102811,a913),a913),f328(x102811)),x102813))),x102814)),x102815)),x102816),f241(f925(x102811,a913)))
% 225.14/225.11 [8829]E(x88291,x88292)+~P56(x88294,x88295,x88293,x88296,x88297)+~E(f326(x88293,x88291),f326(x88293,x88292))
% 225.14/225.11 [8858]~P10(x88586,x88585,x88587,x88584,x88581)+E(f326(f326(x88581,x88582),x88583),x88584)+P105(f326(f60(x88585),x88583))
% 225.14/225.11 [9732]P42(x97321,x97322,x97323,x97324,x97325,f326(f326(x97323,x97326),x97327))+~E(f326(f326(x97323,x97326),x97327),x97324)+~E(x97325,f188(f925(x97321,a913)))
% 225.14/225.11 [9912]~P105(f326(x99126,x99123))+~P105(f326(f326(f328(f924(x99122,x99122)),f326(f326(f251(x99122,x99122),x99124),x99125)),f326(x99127,x99123)))+P105(f326(f326(f328(f924(f924(x99121,x99122),f924(x99121,x99122))),f326(f326(f251(f924(x99121,x99122),f924(x99121,x99122)),f326(f326(f251(x99121,x99122),x99123),x99124)),f326(f326(f251(x99121,x99122),x99123),x99125))),f279(x99121,x99122,x99126,x99127)))
% 225.14/225.11 [10343]~P42(x103432,x103437,x103433,x103436,x103431,f326(f326(x103433,x103435),x103434))+E(f326(f326(x103433,f566(x103434,x103435,x103431,x103436,x103433,x103437,x103432)),f574(x103434,x103435,x103431,x103436,x103433,x103437,x103432)),f326(f326(x103433,x103435),x103434))+E(x103431,f188(f925(x103432,a913)))
% 225.14/225.11 [10344]~P42(x103447,x103446,x103441,x103444,x103445,f326(f326(x103441,x103442),x103443))+E(f326(f326(x103441,f566(x103443,x103442,x103445,x103444,x103441,x103446,x103447)),f574(x103443,x103442,x103445,x103444,x103441,x103446,x103447)),f326(f326(x103441,x103442),x103443))+E(f326(f326(x103441,x103442),x103443),x103444)
% 225.14/225.11 [9400]~P34(x94001,x94002,x94003,x94005,x94007)+P34(x94001,x94002,x94003,f326(f326(f151(x94001),x94004),x94005),f326(f326(f151(x94002),x94006),x94007))+~P105(f326(f326(x94003,x94004),x94006))
% 225.14/225.11 [9419]P34(x94191,x94192,x94193,x94194,x94195)+~P34(x94191,x94192,x94193,f326(f326(f134(x94191),x94196),x94194),f326(f326(f134(x94192),x94197),x94195))+~E(f326(f189(f918(x94191)),x94196),f326(f189(f918(x94192)),x94197))
% 225.14/225.11 [9420]P34(x94201,x94202,x94203,x94204,x94205)+~P34(x94201,x94202,x94203,f326(f326(f134(x94201),x94204),x94206),f326(f326(f134(x94202),x94205),x94207))+~E(f326(f189(f918(x94201)),x94204),f326(f189(f918(x94202)),x94205))
% 225.14/225.11 [9633]~P34(x96331,x96332,x96333,x96335,x96337)+~P34(x96331,x96332,x96333,x96334,x96336)+P34(x96331,x96332,x96333,f326(f326(f134(x96331),x96334),x96335),f326(f326(f134(x96332),x96336),x96337))
% 225.14/225.11 [9986]~P105(f326(f65(x99861,x99864,x99865,x99866,x99863),x99867))+P105(f326(f65(x99861,x99864,x99865,x99866,f326(f326(f308(x99861),x99862),x99863)),f326(f326(x99865,x99862),x99867)))+P105(f326(f326(f328(x99861),x99862),x99863))
% 225.14/225.11 [10371]~P42(x103712,x103717,x103716,x103715,x103711,f326(f326(x103716,x103714),x103713))+E(x103711,f188(f925(x103712,a913)))+P105(f326(f326(f328(x103712),f566(x103713,x103714,x103711,x103715,x103716,x103717,x103712)),x103711))
% 225.14/225.11 [10372]~P42(x103725,x103727,x103721,x103724,x103726,f326(f326(x103721,x103722),x103723))+E(f326(f326(x103721,x103722),x103723),x103724)+P105(f326(f326(f328(x103725),f566(x103723,x103722,x103726,x103724,x103721,x103727,x103725)),x103726))
% 225.14/225.11 [10463]E(f326(f326(f251(x104631,x104632),x104633),x104634),f326(f326(f251(x104631,x104632),x104635),x104636))+P105(f326(f326(f328(f924(f924(x104631,x104632),f924(x104631,x104632))),f326(f326(f251(f924(x104631,x104632),f924(x104631,x104632)),f326(f326(f251(x104631,x104632),f846(x104637,x104634,x104633,x104636,x104635,x104632,x104631)),f847(x104637,x104634,x104633,x104636,x104635,x104632,x104631))),f326(f326(f251(x104631,x104632),x104633),x104634))),f306(f924(x104631,x104632),x104637)))+~P105(f326(f326(f328(f924(f924(x104631,x104632),f924(x104631,x104632))),f326(f326(f251(f924(x104631,x104632),f924(x104631,x104632)),f326(f326(f251(x104631,x104632),x104635),x104636)),f326(f326(f251(x104631,x104632),x104633),x104634))),f306(f924(x104631,x104632),x104637)))
% 225.14/225.11 [9099]~P21(x90994,x90995,x90996,x90997,x90991)+~P105(f326(f60(x90995),x90993))+E(f326(f326(x90991,x90992),x90993),f326(f326(f326(f64(x90994,x90995,x90996),x90992),x90997),x90993))
% 225.14/225.11 [9100]~P10(x91004,x91005,x91006,x91007,x91001)+~P105(f326(f60(x91005),x91003))+E(f326(f326(x91001,x91002),x91003),f326(f326(f326(f64(x91004,x91005,x91006),x91002),x91007),x91003))
% 225.14/225.11 [9876]~P24(x98761,x98762,f326(f326(f308(f916(x98761)),f91(x98761,x98763,x98764,x98767)),f188(f925(f916(x98761),a913))))+P24(x98761,x98762,f326(f326(f308(f916(x98761)),f91(x98761,x98763,f30(x98764,x98765),x98766)),f188(f925(f916(x98761),a913))))+~P24(x98761,x98762,f326(f326(f308(f916(x98761)),f91(x98761,x98767,x98765,x98766)),f188(f925(f916(x98761),a913))))
% 225.14/225.11 [9885]~P23(x98853,x98854,x98855,x98857,x98856,x98851)+~P105(f326(f60(x98854),x98852))+E(f326(x98851,x98852),f326(f326(f326(f64(x98853,x98854,x98855),x98856),x98857),x98852))
% 225.14/225.11 [10035]P42(x100351,x100352,x100353,x100354,x100355,f326(f326(x100353,x100356),x100357))+~P42(x100351,x100352,x100353,x100354,f326(f326(f3(f925(x100351,a913)),x100355),f326(f326(f308(x100351),x100356),f188(f925(x100351,a913)))),x100357)+~P105(f326(f326(f328(x100351),x100356),x100355))
% 225.14/225.11 [10162]~P24(x101621,x101622,f326(f326(f308(f916(x101621)),f91(x101621,f92(x101621,x101623,x101624),x101625,x101627)),f188(f925(f916(x101621),a913))))+P24(x101621,x101622,f326(f326(f308(f916(x101621)),f91(x101621,x101623,f27(x101624,x101625,x101626),x101627)),f188(f925(f916(x101621),a913))))+~P24(x101621,x101622,f326(f326(f308(f916(x101621)),f91(x101621,f92(x101621,x101623,f326(f72(a913,a913,a915,a321),x101624)),x101626,x101627)),f188(f925(f916(x101621),a913))))
% 225.14/225.11 [10397]P105(f326(f326(x103977,f790(x103974,x103975,x103971,x103976,x103973,x103972,x103977)),f791(x103974,x103975,x103971,x103976,x103973,x103972,x103977)))+~P105(f326(f326(x103977,f326(f255(x103972,x103973),x103976)),f326(f250(x103972,x103973),x103976)))+P105(f326(x103971,f326(f326(f256(x103972,x103973,x103974),x103975),x103976)))
% 225.14/225.11 [10398]P24(x103987,x103986,f326(f326(f308(f916(x103987)),f91(x103987,x103981,x103984,x103982)),f188(f925(f916(x103987),a913))))+~P24(x103987,x103986,f326(f326(f308(f916(x103987)),f91(x103987,x103985,x103984,x103983)),f188(f925(f916(x103987),a913))))+P105(f326(f326(x103981,f883(x103982,x103981,x103983,x103984,x103985,x103986,x103987)),f893(x103982,x103981,x103983,x103984,x103985,x103986,x103987)))
% 225.14/225.11 [10408]~P42(x104082,x104083,x104084,x104085,x104081,f326(f326(x104084,x104087),x104086))+P42(x104082,x104083,x104084,x104085,f326(f326(f3(f925(x104082,a913)),x104081),f326(f326(f308(x104082),f566(x104086,x104087,x104081,x104085,x104084,x104083,x104082)),f188(f925(x104082,a913)))),f574(x104086,x104087,x104081,x104085,x104084,x104083,x104082))+E(x104081,f188(f925(x104082,a913)))
% 225.14/225.11 [10409]~P42(x104095,x104096,x104091,x104094,x104097,f326(f326(x104091,x104092),x104093))+P42(x104095,x104096,x104091,x104094,f326(f326(f3(f925(x104095,a913)),x104097),f326(f326(f308(x104095),f566(x104093,x104092,x104097,x104094,x104091,x104096,x104095)),f188(f925(x104095,a913)))),f574(x104093,x104092,x104097,x104094,x104091,x104096,x104095))+E(f326(f326(x104091,x104092),x104093),x104094)
% 225.14/225.11 [10410]~P24(x104101,x104102,f326(f326(f308(f916(x104101)),f91(x104101,x104107,x104104,x104106)),f188(f925(f916(x104101),a913))))+P24(x104101,x104102,f326(f326(f308(f916(x104101)),f91(x104101,x104103,x104104,x104105)),f188(f925(f916(x104101),a913))))+~P105(f326(f326(x104105,f883(x104105,x104103,x104106,x104104,x104107,x104102,x104101)),f903(x104105,x104103,x104106,x104104,x104107,x104102,x104101)))
% 225.14/225.11 [10430]~P105(f326(x104301,f326(f326(x104305,f791(x104304,x104305,x104301,x104306,x104303,x104302,x104307)),f790(x104304,x104305,x104301,x104306,x104303,x104302,x104307))))+~P105(f326(f326(x104307,f326(f255(x104302,x104303),x104306)),f326(f250(x104302,x104303),x104306)))+P105(f326(x104301,f326(f326(f256(x104302,x104303,x104304),x104305),x104306)))
% 225.14/225.11 [9717]P105(f326(f326(f234(f925(f924(x97171,x97172),a913)),f326(f326(f288(x97171,x97173,x97172),x97174),x97175)),f326(f326(f288(x97171,x97173,x97172),x97176),x97177)))+~P105(f326(f326(f234(f925(f924(x97173,x97172),a913)),x97175),x97177))+~P105(f326(f326(f234(f925(f924(x97171,x97173),a913)),x97174),x97176))
% 225.14/225.11 [10457]E(f326(f326(f251(x104571,x104572),x104573),x104574),f326(f326(f251(x104571,x104572),x104575),x104576))+~P105(f326(f326(f328(f924(f924(x104571,x104572),f924(x104571,x104572))),f326(f326(f251(f924(x104571,x104572),f924(x104571,x104572)),f326(f326(f251(x104571,x104572),x104573),x104574)),f326(f326(f251(x104571,x104572),x104575),x104576))),f306(f924(x104571,x104572),x104577)))+P105(f326(f326(f328(f924(f924(x104571,x104572),f924(x104571,x104572))),f326(f326(f251(f924(x104571,x104572),f924(x104571,x104572)),f326(f326(f251(x104571,x104572),x104573),x104574)),f326(f326(f251(x104571,x104572),f846(x104577,x104576,x104575,x104574,x104573,x104572,x104571)),f847(x104577,x104576,x104575,x104574,x104573,x104572,x104571)))),x104577))
% 225.14/225.11 [10047]~P105(f326(f326(f328(x100471),x100476),x100475))+P105(f326(f65(x100471,x100472,x100473,x100474,x100475),f326(f326(x100473,x100476),x100477)))+~P105(f326(f65(x100471,x100472,x100473,x100474,f326(f326(f3(f925(x100471,a913)),x100475),f326(f326(f308(x100471),x100476),f188(f925(x100471,a913))))),x100477))
% 225.14/225.11 [10470]~P146(x104701)+~P25(f924(x104702,x104703),x104701,f326(f256(x104702,x104703,x104701),f326(f326(f9(x104702,f925(x104703,x104701),f925(x104703,x104701)),f326(f326(f10(f925(x104701,x104701),f925(f925(x104703,x104701),f925(x104703,x104701)),x104702),f10(x104701,x104701,x104703)),f326(f326(f10(x104701,f925(x104701,x104701),x104702),f80(x104701)),x104704))),x104705)),f326(f326(f253(x104702,x104703),x104706),f326(f18(f925(x104703,a913),x104702),x104707)))+E(f326(f326(f8(x104701,x104701),f31(x104701)),f326(f261(x104701),f326(f326(f10(f925(x104702,a913),a913,x104701),f86(x104702)),f326(f326(f10(f925(x104702,f925(x104703,a913)),f925(x104702,a913),x104701),f326(f10(f925(x104703,a913),a913,x104702),f86(x104703))),f326(f326(f9(x104701,f925(x104702,f925(x104703,a913)),f925(x104702,f925(x104703,a913))),f326(f326(f10(f925(x104702,f925(f925(x104703,a913),f925(x104703,a913))),f925(f925(x104702,f925(x104703,a913)),f925(x104702,f925(x104703,a913))),x104701),f20(x104702,f925(x104703,a913),f925(x104703,a913))),f326(f326(f10(f925(x104702,f925(x104703,f925(a913,a913))),f925(x104702,f925(f925(x104703,a913),f925(x104703,a913))),x104701),f326(f10(f925(x104703,f925(a913,a913)),f925(f925(x104703,a913),f925(x104703,a913)),x104702),f20(x104703,a913,a913))),f326(f326(f10(f925(x104702,f925(x104703,a913)),f925(x104702,f925(x104703,f925(a913,a913))),x104701),f326(f10(f925(x104703,a913),f925(x104703,f925(a913,a913)),x104702),f326(f10(a913,f925(a913,a913),x104703),a324))),f326(f326(f9(x104701,f925(x104702,f925(x104703,x104701)),f925(x104702,f925(x104703,a913))),f326(f326(f10(f925(f925(x104703,x104701),f925(x104703,a913)),f925(f925(x104702,f925(x104703,x104701)),f925(x104702,f925(x104703,a913))),x104701),f10(f925(x104703,x104701),f925(x104703,a913),x104702)),f326(f326(f10(f925(x104701,a913),f925(f925(x104703,x104701),f925(x104703,a913)),x104701),f10(x104701,a913,x104703)),a323))),f326(f326(f9(x104702,f925(x104703,x104701),f925(x104703,x104701)),f326(f326(f10(f925(x104701,x104701),f925(f925(x104703,x104701),f925(x104703,x104701)),x104702),f10(x104701,x104701,x104703)),f326(f326(f10(x104701,f925(x104701,x104701),x104702),f80(x104701)),x104704))),x104705)))))),f326(f326(f9(x104702,f925(x104703,a913),f925(x104703,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x104703,a913),f925(x104703,a913)),x104702),f10(a913,a913,x104703)),f326(f326(f10(a913,f925(a913,a913),x104702),a324),f326(f326(f9(x104702,f925(x104702,a913),a913),f328(x104702)),x104706)))),f326(f326(f9(x104703,f925(x104703,a913),a913),f328(x104703)),x104707))))))),f326(f326(f80(x104701),f326(f326(f8(x104702,x104701),x104704),x104706)),f326(f326(f8(x104703,x104701),x104705),x104707)))
% 225.14/225.11 [9721]~P26(x97211,x97213,x97215,x97216,x97218)+~P26(x97213,x97212,x97214,x97218,x97217)+P26(x97211,x97212,f326(f72(x97213,x97212,x97211,x97214),x97215),x97216,x97217)
% 225.14/225.11 [9750]P26(x97501,x97502,x97503,x97504,x97505)+~P26(x97506,x97501,x97507,x97508,x97504)+~P26(x97506,x97502,f326(f72(x97501,x97502,x97506,x97503),x97507),x97508,x97505)
% 225.14/225.11 [9883]~P105(f326(f326(x98834,x98836),x98838))+~P105(f326(f326(x98835,x98838),x98837))+P105(f326(f326(f252(x98831,x98832,x98833,x98834,x98835),x98836),x98837))
% 225.14/225.11 [9473]~P19(x94738,x94731,x94733,x94735)+~P105(f326(f60(x94738),x94736))+E(f326(f72(x94731,x94731,x94732,f326(x94733,x94734)),f326(f72(x94731,x94731,x94732,f326(x94735,x94736)),x94737)),f326(f72(x94731,x94731,x94732,f326(x94735,x94736)),f326(f72(x94731,x94731,x94732,f326(x94733,x94734)),x94737)))
% 225.14/225.11 [9872]~P22(x98727,x98722,x98725,x98728,x98726,x98721)+~P105(f326(f60(x98722),x98724))+E(f326(x98721,f326(f326(f308(x98722),x98723),x98724)),f326(f326(x98725,f326(x98726,x98723)),f326(x98721,x98724)))
% 225.14/225.11 [9991]~P25(x99912,x99914,x99916,x99918)+~P25(x99911,x99913,x99915,x99917)+P25(f924(x99911,x99912),f924(x99913,x99914),f257(x99911,x99913,x99912,x99914,x99915,x99916),f326(f326(f253(x99911,x99912),x99917),f326(f18(f925(x99912,a913),x99911),x99918)))
% 225.14/225.11 [9659]P105(f326(f326(f328(f924(x96591,x96592)),f326(f326(f251(x96591,x96592),x96593),x96594)),f326(f326(f288(x96591,x96595,x96592),x96596),x96597)))+~P105(f326(f326(f328(f924(x96591,x96595)),f326(f326(f251(x96591,x96595),x96593),x96598)),x96596))+~P105(f326(f326(f328(f924(x96595,x96592)),f326(f326(f251(x96595,x96592),x96598),x96594)),x96597))
% 225.14/225.11 [9853]~P105(f326(f326(f234(f925(f924(x98533,x98532),a913)),x98535),f326(f326(f253(x98533,x98532),x98538),f326(f18(f925(x98532,a913),x98533),x98537))))+~P105(f326(f326(f234(f925(f924(x98531,x98533),a913)),x98534),f326(f326(f253(x98531,x98533),x98536),f326(f18(f925(x98533,a913),x98531),x98538))))+P105(f326(f326(f234(f925(f924(x98531,x98532),a913)),f326(f326(f288(x98531,x98533,x98532),x98534),x98535)),f326(f326(f253(x98531,x98532),x98536),f326(f18(f925(x98532,a913),x98531),x98537))))
% 225.14/225.11 [9907]~E(x99073,x99075)+P105(f326(f326(f328(f924(f924(x99071,x99072),f924(x99071,x99072))),f326(f326(f251(f924(x99071,x99072),f924(x99071,x99072)),f326(f326(f251(x99071,x99072),x99073),x99074)),f326(f326(f251(x99071,x99072),x99075),x99076))),f318(x99071,x99072,x99077,x99078)))+~P105(f326(f326(f328(f924(x99072,x99072)),f326(f326(f251(x99072,x99072),x99074),x99076)),x99078))
% 225.14/225.11 [10010]E(x100101,x100102)+~P105(f326(f326(f328(f924(f924(x100103,x100105),f924(x100103,x100105))),f326(f326(f251(f924(x100103,x100105),f924(x100103,x100105)),f326(f326(f251(x100103,x100105),x100101),x100106)),f326(f326(f251(x100103,x100105),x100102),x100107))),f318(x100103,x100105,x100104,x100108)))+P105(f326(f326(f328(f924(x100103,x100103)),f326(f326(f251(x100103,x100103),x100101),x100102)),x100104))
% 225.14/225.11 [10025]~P105(f326(f326(f328(f924(f924(x100251,x100255),f924(x100251,x100255))),f326(f326(f251(f924(x100251,x100255),f924(x100251,x100255)),f326(f326(f251(x100251,x100255),x100252),x100256)),f326(f326(f251(x100251,x100255),x100253),x100257))),f318(x100251,x100255,x100254,x100258)))+P105(f326(f326(f328(f924(x100251,x100251)),f326(f326(f251(x100251,x100251),x100252),x100253)),x100254))+P105(f326(f326(f328(f924(x100255,x100255)),f326(f326(f251(x100255,x100255),x100256),x100257)),x100258))
% 225.14/225.11 [9942]~P23(x99427,x99425,x99421,x99428,x99422,x99424)+~P105(f326(f60(x99425),x99426))+E(f326(f326(x99421,f326(x99422,x99423)),f326(x99424,f326(f326(f3(f925(x99425,a913)),x99426),f326(f326(f308(x99425),x99423),f188(f925(x99425,a913)))))),f326(x99424,f326(f326(f308(x99425),x99423),x99426)))
% 225.14/225.11 [9425]~P105(f326(f326(f326(x94255,x94258),x94256),x94257))+~P105(f326(f326(f328(x94251),x94258),x94254))+P105(f326(f326(f326(f326(f38(x94251,f925(x94252,f925(x94253,a913))),x94254),x94255),x94256),x94257))
% 225.14/225.11 [9644]P105(f326(f326(f326(x96441,x96442),x96443),x96444))+~P105(f326(f326(f328(x96445),x96442),x96446))+~P105(f326(f326(f326(f326(f39(x96445,f925(x96447,f925(x96448,a913))),x96446),x96441),x96443),x96444))
% 225.14/225.11 [9846]~P21(x98463,x98462,x98464,x98468,x98461)+~P105(f326(f60(x98462),x98467))+E(f326(f326(x98461,f326(f326(f20(x98462,x98463,x98463),f326(f326(f10(x98463,f925(x98463,x98463),x98462),x98464),x98465)),x98466)),x98467),f326(f326(x98464,f326(f326(x98461,x98465),x98467)),f326(f326(x98461,x98466),x98467)))
% 225.14/225.11 [10113]~E(f326(f309(x101132,x101134,x101136),x101138),x1011310)+~E(f326(f309(x101131,x101133,x101135),x101137),x101139)+E(f326(f309(f924(x101131,x101132),f924(x101133,x101134),f257(x101131,x101133,x101132,x101134,x101135,x101136)),f326(f326(f253(x101131,x101132),x101137),f326(f18(f925(x101132,a913),x101131),x101138))),f326(f326(f253(x101133,x101134),x101139),f326(f18(f925(x101134,a913),x101133),x1011310)))
% 225.14/225.11 [5062]~P43(x50621,x50622)+~P49(x50621,x50622)+~P50(x50621,x50622)+P7(x50621,x50622)
% 225.14/225.11 [5018]~P108(x50182)+~P13(x50182,x50181)+P13(x50182,f114(x50182,x50181))+E(x50181,f113(x50182))
% 225.14/225.11 [5019]~P108(x50192)+~P13(x50192,x50191)+P13(x50192,f708(x50191,x50192))+E(x50191,f113(x50192))
% 225.14/225.11 [5265]~P5(x52652)+E(f12(x52652,x52651),f36(x52652,x52651))+E(x52651,f188(f925(x52652,a913)))+~P105(f326(f60(x52652),x52651))
% 225.14/225.11 [5266]~P5(x52662)+E(f13(x52662,x52661),f37(x52662,x52661))+E(x52661,f188(f925(x52662,a913)))+~P105(f326(f60(x52662),x52661))
% 225.14/225.11 [5422]~P108(x54222)+~P13(x54222,x54221)+E(x54221,f113(x54222))+E(f326(f326(f151(x54222),f728(x54221,x54222)),f708(x54221,x54222)),x54221)
% 225.14/225.11 [6243]~P99(x62432)+E(x62431,f188(f925(x62432,a913)))+P105(f326(f326(f234(x62432),f13(x62432,x62431)),f12(x62432,x62431)))+~P105(f326(f60(x62432),x62431))
% 225.14/225.11 [6254]~P40(x62542)+~P40(x62541)+E(x62541,x62542)+~E(f326(f309(a1,a917,a105),x62541),f326(f309(a1,a917,a105),x62542))
% 225.14/225.11 [9283]~P113(x92831)+~P105(f326(f326(f328(x92831),x92832),f110(x92831)))+P105(f326(f326(f235(x92831),f326(f326(f79(x92831),f326(f326(f79(x92831),f77(x92831)),x92832)),x92832)),f2(x92831)))+~P105(f326(f326(f235(x92831),x92832),f2(x92831)))
% 225.14/225.11 [9526]~P113(x95261)+~P105(f326(f326(f328(x95261),x95262),f110(x95261)))+~P105(f326(f326(f235(x95261),f326(f326(f79(x95261),f326(f326(f79(x95261),f77(x95261)),x95262)),x95262)),f2(x95261)))+P105(f326(f326(f235(x95261),x95262),f2(x95261)))
% 225.14/225.11 [5077]~P116(x50772)+~P146(x50772)+E(x50771,f2(a917))+E(f326(f326(f243(x50772),f2(x50772)),x50771),f2(x50772))
% 225.14/225.11 [5080]~P116(x50801)+~P146(x50801)+~E(x50802,f2(a917))+E(f326(f326(f243(x50801),f2(x50801)),x50802),f77(x50801))
% 225.14/225.11 [5251]~P142(x52512)+E(x52511,f77(x52512))+E(x52511,f326(f78(x52512),f77(x52512)))+~E(f326(f326(f80(x52512),x52511),x52511),f77(x52512))
% 225.14/225.11 [5504]~P88(x55042)+E(x55041,f2(x55042))+E(f81(x55042,x55041),f326(f78(x55042),f77(x55042)))+P105(f326(f326(f235(x55042),f2(x55042)),x55041))
% 225.14/225.11 [5744]~P88(x57442)+E(f81(x57442,x57441),f77(x57442))+E(x57441,f2(x57442))+~P105(f326(f326(f235(x57442),f2(x57442)),x57441))
% 225.14/225.11 [5753]E(x57531,x57532)+~E(f326(f104(a917),x57531),f326(f104(a917),x57532))+P105(f326(a193,f326(f104(a1),x57532)))+P105(f326(a193,f326(f104(a1),x57531)))
% 225.14/225.11 [5804]~P90(x58041)+~E(x58042,f2(x58041))+E(f326(f326(f79(x58041),x58042),x58042),f2(x58041))+~P105(f326(f326(f328(x58041),x58042),f110(x58041)))
% 225.14/225.11 [5843]E(x58431,f2(a1))+~E(f326(f326(f35(a1),x58432),x58431),f2(a1))+P105(f326(f326(f235(a1),x58431),x58432))+P105(f326(f326(f235(a1),x58432),x58431))
% 225.14/225.11 [5873]E(x58731,f2(a1))+~E(f326(f326(f35(a1),x58732),x58731),f2(a1))+P105(f326(f326(f234(a1),x58732),f2(a1)))+P105(f326(f326(f235(a1),x58732),x58731))
% 225.14/225.11 [5907]E(x59071,f2(a1))+~E(f326(f326(f35(a1),x59072),x59071),f2(a1))+P105(f326(f326(f234(a1),f2(a1)),x59072))+P105(f326(f326(f235(a1),x59071),x59072))
% 225.14/225.11 [5942]~P90(x59422)+E(x59421,f2(x59422))+~E(f326(f326(f79(x59422),x59421),x59421),f2(x59422))+~P105(f326(f326(f328(x59422),x59421),f110(x59422)))
% 225.14/225.11 [6010]E(f326(f104(a917),x60101),f326(f104(a917),x60102))+~E(f326(f104(a1),x60102),f2(a1))+P105(f326(a193,f326(f104(a1),x60102)))+~P105(f326(a193,f326(f104(a1),x60101)))
% 225.14/225.11 [6039]~E(f326(f104(a917),x60392),f326(f104(a917),x60391))+E(f326(f104(a1),x60391),f2(a1))+P105(f326(a193,f326(f104(a1),x60391)))+~P105(f326(a193,f326(f104(a1),x60392)))
% 225.14/225.11 [6049]~P108(x60492)+E(x60491,f188(f925(x60492,a913)))+~P105(f326(f60(x60492),x60491))+P105(f326(f326(f328(x60492),f16(x60492,x60491)),x60491))
% 225.14/225.11 [6050]~P108(x60502)+E(x60501,f188(f925(x60502,a913)))+~P105(f326(f60(x60502),x60501))+P105(f326(f326(f328(x60502),f17(x60502,x60501)),x60501))
% 225.14/225.11 [6220]~P113(x62201)+~P92(x62201)+P105(f326(f326(f234(x62201),f2(x62201)),f326(f104(x62201),x62202)))+~P105(f326(f326(f234(a1),a82),x62202))
% 225.14/225.11 [6221]~P113(x62211)+~P92(x62211)+P105(f326(f326(f235(x62211),f2(x62211)),f326(f104(x62211),x62212)))+~P105(f326(f326(f235(a1),a82),x62212))
% 225.14/225.11 [6242]~P113(x62421)+~P92(x62421)+E(f326(f75(x62421),f326(f104(x62421),x62422)),f326(f104(x62421),x62422))+P105(f326(f326(f235(x62421),f326(f104(x62421),x62422)),f2(x62421)))
% 225.14/225.11 [6278]E(x62781,x62782)+~E(f326(a105,x62781),f326(a105,x62782))+~P105(f326(f326(f234(a1),f2(a1)),x62782))+~P105(f326(f326(f234(a1),f2(a1)),x62781))
% 225.14/225.11 [6473]~P92(x64732)+~P113(x64732)+~P105(f326(f326(f234(x64732),f2(x64732)),f326(f104(x64732),x64731)))+P105(f326(f326(f234(a1),a82),x64731))
% 225.14/225.11 [6474]~P92(x64742)+~P113(x64742)+~P105(f326(f326(f235(x64742),f2(x64742)),f326(f104(x64742),x64741)))+P105(f326(f326(f235(a1),a82),x64741))
% 225.14/225.11 [6479]~P113(x64791)+~P92(x64791)+P105(f326(f326(f234(x64791),f326(f104(x64791),x64792)),f2(x64791)))+~P105(f326(f326(f234(a1),x64792),a82))
% 225.14/225.11 [6480]~P113(x64801)+~P92(x64801)+P105(f326(f326(f235(x64801),f326(f104(x64801),x64802)),f2(x64801)))+~P105(f326(f326(f235(a1),x64802),a82))
% 225.14/225.11 [6797]~P92(x67972)+~P113(x67972)+~P105(f326(f326(f234(x67972),f326(f104(x67972),x67971)),f2(x67972)))+P105(f326(f326(f234(a1),x67971),a82))
% 225.14/225.11 [6798]~P92(x67982)+~P113(x67982)+~P105(f326(f326(f235(x67982),f326(f104(x67982),x67981)),f2(x67982)))+P105(f326(f326(f235(a1),x67981),a82))
% 225.14/225.11 [6891]~P113(x68911)+~P92(x68911)+E(f326(f75(x68911),f326(f104(x68911),x68912)),f326(f78(x68911),f326(f104(x68911),x68912)))+~P105(f326(f326(f235(x68911),f326(f104(x68911),x68912)),f2(x68911)))
% 225.14/225.11 [6909]E(f326(f104(a917),x69091),f326(f104(a917),x69092))+~E(f326(f104(a1),x69092),f2(a1))+~P105(f326(f326(f234(a1),f326(f104(a1),x69091)),f2(a1)))+~P105(f326(a193,f326(f104(a1),x69091)))
% 225.14/225.11 [7789]~P108(x77892)+E(x77891,f188(f925(x77892,a913)))+~P105(f326(f60(x77892),x77891))+P105(f326(f326(f234(x77892),f14(x77892,f238(x77892),x77891)),f15(x77892,f233(x77892),x77891)))
% 225.14/225.11 [8107]~P6(x81071)+~P40(x81072)+P105(f326(f326(f328(a1),x81071),x81072))+~P105(f326(f326(f328(a917),f326(a105,x81071)),f326(f309(a1,a917,a105),x81072)))
% 225.14/225.11 [6045]~P141(x60452)+E(x60451,f2(a1))+E(f326(f78(x60452),f326(f103(x60452),f326(f78(a1),x60451))),f326(f103(x60452),x60451))+~P105(f326(f326(f235(a1),x60451),f2(a1)))
% 225.14/225.11 [6123]~P90(x61231)+~P92(x61231)+~P28(x61231,f326(f104(x61231),x61232))+P28(x61231,f326(f104(x61231),f326(f326(f79(a1),x61232),x61232)))
% 225.14/225.11 [6462]~P75(x64622)+E(x64621,f188(f925(x64622,a913)))+E(f17(x64622,f326(f309(x64622,x64622,f78(x64622)),x64621)),f326(f78(x64622),f16(x64622,x64621)))+~P105(f326(f60(x64622),x64621))
% 225.14/225.11 [6463]~P75(x64632)+E(x64631,f188(f925(x64632,a913)))+E(f16(x64632,f326(f309(x64632,x64632,f78(x64632)),x64631)),f326(f78(x64632),f17(x64632,x64631)))+~P105(f326(f60(x64632),x64631))
% 225.14/225.11 [6496]~P90(x64961)+~P92(x64961)+P28(x64961,f326(f104(x64961),x64962))+~P28(x64961,f326(f104(x64961),f326(f326(f79(a1),x64962),x64962)))
% 225.14/225.11 [6589]E(x65891,f2(a1))+E(f326(a50,f49(f326(f78(a1),x65891),f326(f78(a1),x65892))),f45(x65891,x65892))+P105(f326(f326(f234(a1),f2(a1)),x65892))+~P105(f326(f326(f234(a1),f2(a1)),x65891))
% 225.14/225.11 [8886]~P40(x88862)+~P40(x88861)+P105(f326(f326(f235(f925(a917,a913)),f326(f309(a1,a917,a105),x88861)),f326(f309(a1,a917,a105),x88862)))+~P105(f326(f326(f235(f925(a1,a913)),x88861),x88862))
% 225.14/225.11 [9117]~E(f730(x91172,x91171),f731(x91172,x91171))+~P105(f326(f137(x91171),f732(x91172,x91171)))+~P105(f326(f137(f918(x91171)),x91172))+P105(f326(f137(x91171),f326(f142(f918(x91171),f918(x91171),f134(x91171),f113(x91171)),x91172)))
% 225.14/225.11 [9203]~P40(x92032)+~P40(x92031)+~P105(f326(f326(f234(f925(a917,a913)),f326(f309(a1,a917,a105),x92031)),f326(f309(a1,a917,a105),x92032)))+P105(f326(f326(f234(f925(a1,a913)),x92031),x92032))
% 225.14/225.11 [9204]~P40(x92042)+~P40(x92041)+~P105(f326(f326(f235(f925(a917,a913)),f326(f309(a1,a917,a105),x92041)),f326(f309(a1,a917,a105),x92042)))+P105(f326(f326(f235(f925(a1,a913)),x92041),x92042))
% 225.14/225.11 [9210]~E(f730(x92102,x92101),f731(x92102,x92101))+~P105(f326(f137(f918(x92101)),x92102))+P105(f326(f137(x92101),f326(f142(f918(x92101),f918(x92101),f134(x92101),f113(x92101)),x92102)))+P105(f326(f326(f328(f918(x92101)),f732(x92102,x92101)),f326(f172(f918(x92101)),x92102)))
% 225.14/225.11 [9251]~P105(f326(f137(x92511),f732(x92512,x92511)))+~P105(f326(f137(f918(x92511)),x92512))+P105(f326(f137(x92511),f326(f142(f918(x92511),f918(x92511),f134(x92511),f113(x92511)),x92512)))+P105(f326(f326(f328(f918(x92511)),f731(x92512,x92511)),f326(f172(f918(x92511)),x92512)))
% 225.14/225.11 [9252]~P105(f326(f137(x92521),f732(x92522,x92521)))+~P105(f326(f137(f918(x92521)),x92522))+P105(f326(f137(x92521),f326(f142(f918(x92521),f918(x92521),f134(x92521),f113(x92521)),x92522)))+P105(f326(f326(f328(f918(x92521)),f730(x92522,x92521)),f326(f172(f918(x92521)),x92522)))
% 225.14/225.11 [9329]~P105(f326(f137(f918(x93291)),x93292))+P105(f326(f137(x93291),f326(f142(f918(x93291),f918(x93291),f134(x93291),f113(x93291)),x93292)))+P105(f326(f326(f328(f918(x93291)),f731(x93292,x93291)),f326(f172(f918(x93291)),x93292)))+P105(f326(f326(f328(f918(x93291)),f732(x93292,x93291)),f326(f172(f918(x93291)),x93292)))
% 225.14/225.11 [9330]~P105(f326(f137(f918(x93301)),x93302))+P105(f326(f137(x93301),f326(f142(f918(x93301),f918(x93301),f134(x93301),f113(x93301)),x93302)))+P105(f326(f326(f328(f918(x93301)),f730(x93302,x93301)),f326(f172(f918(x93301)),x93302)))+P105(f326(f326(f328(f918(x93301)),f732(x93302,x93301)),f326(f172(f918(x93301)),x93302)))
% 225.14/225.11 [9344]~E(f326(f326(f102(f925(x93441,a913)),f326(f172(x93441),f731(x93442,x93441))),f326(f172(x93441),f730(x93442,x93441))),f188(f925(x93441,a913)))+~P105(f326(f137(x93441),f732(x93442,x93441)))+~P105(f326(f137(f918(x93441)),x93442))+P105(f326(f137(x93441),f326(f142(f918(x93441),f918(x93441),f134(x93441),f113(x93441)),x93442)))
% 225.14/225.11 [9406]~E(f326(f326(f102(f925(x94061,a913)),f326(f172(x94061),f731(x94062,x94061))),f326(f172(x94061),f730(x94062,x94061))),f188(f925(x94061,a913)))+~P105(f326(f137(f918(x94061)),x94062))+P105(f326(f137(x94061),f326(f142(f918(x94061),f918(x94061),f134(x94061),f113(x94061)),x94062)))+P105(f326(f326(f328(f918(x94061)),f732(x94062,x94061)),f326(f172(f918(x94061)),x94062)))
% 225.14/225.11 [9690]E(x96901,f2(a1))+E(x96902,f2(a1))+E(f326(f326(f85(a1,f924(a1,a1)),f326(f326(a217,x96902),x96901)),f326(f326(f20(a1,a1,f924(a1,a1)),f326(f326(f10(a1,f925(a1,f924(a1,a1)),a1),f251(a1,a1)),f326(f35(a1),x96902))),f326(f35(a1),x96901))),f215(x96902,x96901))+P105(f326(f326(f235(a1),x96901),f2(a1)))
% 225.14/225.11 [8433]~P92(x84332)+~P113(x84332)+~P105(f326(f326(f234(x84332),f326(f104(x84332),x84331)),f77(x84332)))+P105(f326(f326(f234(a1),x84331),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 225.14/225.11 [8434]~P92(x84342)+~P113(x84342)+~P105(f326(f326(f235(x84342),f326(f104(x84342),x84341)),f77(x84342)))+P105(f326(f326(f235(a1),x84341),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 225.14/225.11 [8702]~P113(x87021)+~P92(x87021)+P105(f326(f326(f234(x87021),f326(f104(x87021),x87022)),f77(x87021)))+~P105(f326(f326(f234(a1),x87022),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 225.14/225.11 [8703]~P113(x87031)+~P92(x87031)+P105(f326(f326(f235(x87031),f326(f104(x87031),x87032)),f77(x87031)))+~P105(f326(f326(f235(a1),x87032),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 225.14/225.11 [8914]~P92(x89142)+~P113(x89142)+~P105(f326(f326(f234(x89142),f77(x89142)),f326(f104(x89142),x89141)))+P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89141))
% 225.14/225.11 [8915]~P92(x89152)+~P113(x89152)+~P105(f326(f326(f235(x89152),f77(x89152)),f326(f104(x89152),x89151)))+P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89151))
% 225.14/225.11 [9289]~P113(x92891)+~P92(x92891)+P105(f326(f326(f234(x92891),f77(x92891)),f326(f104(x92891),x92892)))+~P105(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x92892))
% 225.14/225.11 [9290]~P113(x92901)+~P92(x92901)+P105(f326(f326(f235(x92901),f77(x92901)),f326(f104(x92901),x92902)))+~P105(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x92902))
% 225.14/225.11 [9819]~P142(x98192)+E(x98191,f77(x98192))+E(x98191,f326(f78(x98192),f77(x98192)))+~E(f326(f326(f243(x98192),x98191),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x98192))
% 225.14/225.11 [10088]~P63(x100881)+~P92(x100881)+~P105(f326(f326(f235(x100881),f2(x100881)),x100882))+P105(f326(f326(f235(x100881),f2(x100881)),f326(f326(f290(x100881),x100882),f326(f104(x100881),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.14/225.11 [10141]~P63(x101411)+~P92(x101411)+P105(f326(f326(f235(x101411),f2(x101411)),x101412))+~P105(f326(f326(f235(x101411),f2(x101411)),f326(f326(f290(x101411),x101412),f326(f104(x101411),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.14/225.11 [10437]~P141(x104372)+E(x104371,f2(a1))+P105(f326(f326(f235(a1),x104371),f2(a1)))+E(f326(f326(f256(a1,a1,x104372),f326(f326(f9(a1,f925(a1,f925(x104372,x104372)),f925(a1,x104372)),f326(f326(f10(f925(f925(x104372,x104372),x104372),f925(f925(a1,f925(x104372,x104372)),f925(a1,x104372)),a1),f10(f925(x104372,x104372),x104372,a1)),f326(f326(f10(x104372,f925(f925(x104372,x104372),x104372),a1),f85(x104372,x104372)),f103(x104372)))),f326(f326(f9(a1,f925(x104372,x104372),f925(x104372,x104372)),f326(f326(f10(f925(x104372,f925(x104372,x104372)),f925(f925(x104372,x104372),f925(x104372,x104372)),a1),f20(x104372,x104372,x104372)),f326(f326(f9(a1,f925(x104372,x104372),f925(x104372,f925(x104372,x104372))),f326(f326(f10(f925(x104372,f925(x104372,x104372)),f925(f925(x104372,x104372),f925(x104372,f925(x104372,x104372))),a1),f10(x104372,f925(x104372,x104372),x104372)),f326(f326(f10(a913,f925(x104372,f925(x104372,x104372)),a1),f96(x104372)),f326(f326(f9(a1,a1,a913),a323),f2(a1))))),f326(f326(f20(x104372,x104372,x104372),f79(x104372)),f7(x104372))))),f326(f326(f9(x104372,x104372,x104372),f326(f326(f10(x104372,f925(x104372,x104372),x104372),f79(x104372)),f326(f326(f20(x104372,x104372,x104372),f79(x104372)),f7(x104372)))),f77(x104372))))),f45(x104371,f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f103(x104372),x104371))
% 225.14/225.11 [5513]~P38(x55131,x55133)+~P51(x55131,x55133)+~P52(x55131,x55132,x55133)+P8(x55131,x55132,x55133)
% 225.14/225.11 [5046]~P90(x50463)+~P92(x50463)+E(x50461,x50462)+~E(f326(f104(x50463),x50461),f326(f104(x50463),x50462))
% 225.14/225.11 [5523]~P49(x55231,x55232)+~P50(x55231,x55232)+P15(x55231,x55232)+~P105(f326(f326(x55232,x55233),x55233))
% 225.14/225.11 [6025]P15(x60252,x60251)+E(f326(x60251,f807(x60251)),f326(x60251,f808(x60251)))+P105(f326(f326(x60251,f807(x60251)),f808(x60251)))+~P105(f326(f326(x60251,x60253),x60253))
% 225.14/225.11 [6230]~P105(f326(x62301,x62302))+~P105(f326(x62301,x62303))+~P105(f326(f326(f234(a917),x62303),f879(x62302,x62301)))+P105(f326(x62301,f2(a917)))
% 225.14/225.11 [6297]P15(x62971,x62972)+P105(f326(f326(x62972,f807(x62972)),f807(x62972)))+P105(f326(f326(x62972,f807(x62972)),f808(x62972)))+~P105(f326(f326(x62972,x62973),x62973))
% 225.14/225.11 [6298]P15(x62981,x62982)+P105(f326(f326(x62982,f807(x62982)),f808(x62982)))+P105(f326(f326(x62982,f808(x62982)),f808(x62982)))+~P105(f326(f326(x62982,x62983),x62983))
% 225.14/225.11 [6651]P148(x66512,x66513,x66511)+E(x66511,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f856(x66511,x66513,x66512)))+P105(f326(f326(f235(a1),x66511),f2(a1)))
% 225.14/225.11 [6652]P147(x66522,x66523,x66521)+E(x66521,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f863(x66521,x66523,x66522)))+P105(f326(f326(f235(a1),x66521),f2(a1)))
% 225.14/225.11 [6777]P147(x67771,x67772,x67773)+~P105(f326(x67771,x67772))+P105(f326(f326(f234(a1),f2(a1)),f863(x67773,x67772,x67771)))+P105(f326(f326(f235(a1),x67773),f2(a1)))
% 225.14/225.11 [6803]P148(x68031,x68032,x68033)+P105(f326(f326(f234(a1),f2(a1)),f856(x68033,x68032,x68031)))+~P105(f326(x68031,f2(a1)))+P105(f326(f326(f235(a1),x68033),f2(a1)))
% 225.14/225.11 [6833]P148(x68332,x68333,x68331)+E(x68331,f2(a1))+~P105(f326(x68332,f857(x68331,x68333,x68332)))+P105(f326(f326(f235(a1),x68331),f2(a1)))
% 225.14/225.11 [6834]P147(x68342,x68343,x68341)+E(x68341,f2(a1))+~P105(f326(x68342,f863(x68341,x68343,x68342)))+P105(f326(f326(f235(a1),x68341),f2(a1)))
% 225.14/225.11 [6935]~P108(x69351)+~P5(x69351)+~P105(f326(f326(f235(x69351),x69352),f36(x69351,x69353)))+P105(f326(f326(f235(x69351),x69352),f446(x69353,x69352,x69351)))
% 225.14/225.11 [6945]P147(x69451,x69452,x69453)+~P105(f326(x69451,x69452))+~P105(f326(x69451,f863(x69453,x69452,x69451)))+P105(f326(f326(f235(a1),x69453),f2(a1)))
% 225.14/225.11 [6975]P148(x69751,x69752,x69753)+~P105(f326(x69751,f857(x69753,x69752,x69751)))+~P105(f326(x69751,f2(a1)))+P105(f326(f326(f235(a1),x69753),f2(a1)))
% 225.14/225.11 [7223]P148(x72232,x72233,x72231)+E(x72231,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f856(x72231,x72233,x72232)))+P105(f326(f326(f235(a1),x72231),f855(x72231,x72233,x72232)))
% 225.14/225.11 [7224]P147(x72242,x72243,x72241)+E(x72241,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f863(x72241,x72243,x72242)))+P105(f326(f326(f235(a1),x72241),f862(x72241,x72243,x72242)))
% 225.14/225.11 [7344]P147(x73441,x73442,x73443)+~P105(f326(x73441,x73442))+P105(f326(f326(f234(a1),f2(a1)),f863(x73443,x73442,x73441)))+P105(f326(f326(f235(a1),x73443),f862(x73443,x73442,x73441)))
% 225.14/225.11 [7365]P148(x73651,x73652,x73653)+P105(f326(f326(f234(a1),f2(a1)),f856(x73653,x73652,x73651)))+P105(f326(f326(f235(a1),x73653),f855(x73653,x73652,x73651)))+~P105(f326(x73651,f2(a1)))
% 225.14/225.11 [7398]P148(x73982,x73983,x73981)+E(x73981,f2(a1))+~P105(f326(x73982,f857(x73981,x73983,x73982)))+P105(f326(f326(f235(a1),x73981),f855(x73981,x73983,x73982)))
% 225.14/225.11 [7399]P147(x73992,x73993,x73991)+E(x73991,f2(a1))+~P105(f326(x73992,f863(x73991,x73993,x73992)))+P105(f326(f326(f235(a1),x73991),f862(x73991,x73993,x73992)))
% 225.14/225.11 [7443]P148(x74432,x74433,x74431)+E(x74431,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f856(x74431,x74433,x74432)))+~P105(f326(x74432,f861(x74431,x74433,x74432)))
% 225.14/225.11 [7444]P147(x74442,x74443,x74441)+E(x74441,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f863(x74441,x74443,x74442)))+~P105(f326(x74442,f862(x74441,x74443,x74442)))
% 225.14/225.11 [7542]P147(x75421,x75422,x75423)+~P105(f326(x75421,x75422))+~P105(f326(x75421,f863(x75423,x75422,x75421)))+P105(f326(f326(f235(a1),x75423),f862(x75423,x75422,x75421)))
% 225.14/225.11 [7557]P148(x75571,x75572,x75573)+~P105(f326(x75571,f857(x75573,x75572,x75571)))+P105(f326(f326(f235(a1),x75573),f855(x75573,x75572,x75571)))+~P105(f326(x75571,f2(a1)))
% 225.14/225.11 [7560]P147(x75601,x75602,x75603)+~P105(f326(x75601,x75602))+P105(f326(f326(f234(a1),f2(a1)),f863(x75603,x75602,x75601)))+~P105(f326(x75601,f862(x75603,x75602,x75601)))
% 225.14/225.11 [7577]P148(x75771,x75772,x75773)+P105(f326(f326(f234(a1),f2(a1)),f856(x75773,x75772,x75771)))+~P105(f326(x75771,f861(x75773,x75772,x75771)))+~P105(f326(x75771,f2(a1)))
% 225.14/225.11 [7599]P148(x75992,x75993,x75991)+E(x75991,f2(a1))+~P105(f326(x75992,f857(x75991,x75993,x75992)))+~P105(f326(x75992,f861(x75991,x75993,x75992)))
% 225.14/225.11 [7600]P147(x76002,x76003,x76001)+E(x76001,f2(a1))+~P105(f326(x76002,f863(x76001,x76003,x76002)))+~P105(f326(x76002,f862(x76001,x76003,x76002)))
% 225.14/225.11 [7686]P147(x76861,x76862,x76863)+~P105(f326(x76861,x76862))+~P105(f326(x76861,f863(x76863,x76862,x76861)))+~P105(f326(x76861,f862(x76863,x76862,x76861)))
% 225.14/225.11 [7703]P148(x77031,x77032,x77033)+~P105(f326(x77031,f857(x77033,x77032,x77031)))+~P105(f326(x77031,f861(x77033,x77032,x77031)))+~P105(f326(x77031,f2(a1)))
% 225.14/225.11 [7748]P148(x77482,x77483,x77481)+E(x77481,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f856(x77481,x77483,x77482)))+P105(f326(f326(f234(a1),f855(x77481,x77483,x77482)),f2(a1)))
% 225.14/225.11 [7749]P147(x77492,x77493,x77491)+E(x77491,f2(a1))+P105(f326(f326(f234(a1),f2(a1)),f863(x77491,x77493,x77492)))+P105(f326(f326(f234(a1),f862(x77491,x77493,x77492)),f2(a1)))
% 225.14/225.11 [7750]~P86(x77501)+~P105(f326(f326(f234(x77501),x77503),f2(x77501)))+~P105(f326(f326(f234(x77501),x77502),f2(x77501)))+P105(f326(f326(f234(x77501),f326(f326(f79(x77501),x77502),x77503)),f2(x77501)))
% 225.14/225.11 [7751]~P141(x77511)+~P105(f326(f326(f328(x77511),x77513),f110(x77511)))+~P105(f326(f326(f328(x77511),x77512),f110(x77511)))+P105(f326(f326(f328(x77511),f326(f326(f3(x77511),x77512),x77513)),f110(x77511)))
% 225.14/225.11 [7752]~P141(x77521)+~P105(f326(f326(f328(x77521),x77523),f110(x77521)))+~P105(f326(f326(f328(x77521),x77522),f110(x77521)))+P105(f326(f326(f328(x77521),f326(f326(f80(x77521),x77522),x77523)),f110(x77521)))
% 225.14/225.11 [7753]~P145(x77531)+~P105(f326(f326(f328(x77531),x77533),f186(x77531)))+~P105(f326(f326(f328(x77531),x77532),f186(x77531)))+P105(f326(f326(f328(x77531),f326(f326(f80(x77531),x77532),x77533)),f186(x77531)))
% 225.14/225.11 [7754]~P141(x77541)+~P105(f326(f326(f328(x77541),x77543),f110(x77541)))+~P105(f326(f326(f328(x77541),x77542),f110(x77541)))+P105(f326(f326(f328(x77541),f326(f326(f79(x77541),x77542),x77543)),f110(x77541)))
% 225.14/225.11 [7755]~P145(x77551)+~P105(f326(f326(f328(x77551),x77553),f186(x77551)))+~P105(f326(f326(f328(x77551),x77552),f186(x77551)))+P105(f326(f326(f328(x77551),f326(f326(f79(x77551),x77552),x77553)),f186(x77551)))
% 225.14/225.11 [7756]~P86(x77561)+~P105(f326(f326(f234(x77561),x77563),f2(x77561)))+~P105(f326(f326(f235(x77561),x77562),f2(x77561)))+P105(f326(f326(f235(x77561),f326(f326(f79(x77561),x77562),x77563)),f2(x77561)))
% 225.14/225.11 [7757]~P86(x77571)+~P105(f326(f326(f234(x77571),x77572),f2(x77571)))+~P105(f326(f326(f235(x77571),x77573),f2(x77571)))+P105(f326(f326(f235(x77571),f326(f326(f79(x77571),x77572),x77573)),f2(x77571)))
% 225.14/225.11 [7758]~P86(x77581)+~P105(f326(f326(f235(x77581),x77583),f2(x77581)))+~P105(f326(f326(f235(x77581),x77582),f2(x77581)))+P105(f326(f326(f235(x77581),f326(f326(f79(x77581),x77582),x77583)),f2(x77581)))
% 225.14/225.11 [7785]P148(x77853,x77852,x77851)+E(x77851,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77851),f857(x77851,x77852,x77853))),f856(x77851,x77852,x77853)),x77852)+P105(f326(f326(f235(a1),x77851),f2(a1)))
% 225.14/225.11 [7786]P147(x77863,x77862,x77861)+E(x77861,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77861),f865(x77861,x77862,x77863))),f863(x77861,x77862,x77863)),x77862)+P105(f326(f326(f235(a1),x77861),f2(a1)))
% 225.14/225.11 [7869]P147(x78691,x78692,x78693)+~P105(f326(x78691,x78692))+P105(f326(f326(f234(a1),f2(a1)),f863(x78693,x78692,x78691)))+P105(f326(f326(f234(a1),f862(x78693,x78692,x78691)),f2(a1)))
% 225.14/225.11 [7900]P148(x79001,x79002,x79003)+P105(f326(f326(f234(a1),f2(a1)),f856(x79003,x79002,x79001)))+~P105(f326(x79001,f2(a1)))+P105(f326(f326(f234(a1),f855(x79003,x79002,x79001)),f2(a1)))
% 225.14/225.11 [7909]P147(x79093,x79092,x79091)+~P105(f326(x79093,x79092))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79091),f865(x79091,x79092,x79093))),f863(x79091,x79092,x79093)),x79092)+P105(f326(f326(f235(a1),x79091),f2(a1)))
% 225.14/225.11 [7915]P148(x79152,x79153,x79151)+E(x79151,f2(a1))+~P105(f326(x79152,f857(x79151,x79153,x79152)))+P105(f326(f326(f234(a1),f855(x79151,x79153,x79152)),f2(a1)))
% 225.14/225.11 [7916]P147(x79162,x79163,x79161)+E(x79161,f2(a1))+~P105(f326(x79162,f863(x79161,x79163,x79162)))+P105(f326(f326(f234(a1),f862(x79161,x79163,x79162)),f2(a1)))
% 225.14/225.11 [7921]P148(x79213,x79212,x79211)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79211),f857(x79211,x79212,x79213))),f856(x79211,x79212,x79213)),x79212)+~P105(f326(x79213,f2(a1)))+P105(f326(f326(f235(a1),x79211),f2(a1)))
% 225.14/225.11 [7977]P147(x79771,x79772,x79773)+~P105(f326(x79771,x79772))+~P105(f326(x79771,f863(x79773,x79772,x79771)))+P105(f326(f326(f234(a1),f862(x79773,x79772,x79771)),f2(a1)))
% 225.14/225.11 [7981]P148(x79811,x79812,x79813)+~P105(f326(x79811,f857(x79813,x79812,x79811)))+~P105(f326(x79811,f2(a1)))+P105(f326(f326(f234(a1),f855(x79813,x79812,x79811)),f2(a1)))
% 225.14/225.11 [8048]~P127(x80481)+~P105(f326(f326(f234(x80481),f326(f326(f80(x80481),x80483),x80482)),f2(x80481)))+P105(f326(f326(f234(x80481),x80482),f2(x80481)))+P105(f326(f326(f234(x80481),x80483),f2(x80481)))
% 225.14/225.11 [8049]~P63(x80491)+~P105(f326(f326(f234(x80491),f326(f326(f290(x80491),x80493),x80492)),f2(x80491)))+P105(f326(f326(f234(x80491),x80492),f2(x80491)))+P105(f326(f326(f234(x80491),x80493),f2(x80491)))
% 225.14/225.11 [8050]~P63(x80501)+~P105(f326(f326(f235(x80501),f326(f326(f290(x80501),x80503),x80502)),f2(x80501)))+P105(f326(f326(f235(x80501),x80502),f2(x80501)))+P105(f326(f326(f235(x80501),x80503),f2(x80501)))
% 225.14/225.11 [8163]P148(x81633,x81632,x81631)+E(x81631,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81631),f857(x81631,x81632,x81633))),f856(x81631,x81632,x81633)),x81632)+P105(f326(f326(f235(a1),x81631),f855(x81631,x81632,x81633)))
% 225.14/225.11 [8164]P147(x81643,x81642,x81641)+E(x81641,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81641),f865(x81641,x81642,x81643))),f863(x81641,x81642,x81643)),x81642)+P105(f326(f326(f235(a1),x81641),f862(x81641,x81642,x81643)))
% 225.14/225.11 [8177]P148(x81773,x81772,x81771)+E(x81771,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81771),f861(x81771,x81772,x81773))),f855(x81771,x81772,x81773)),x81772)+P105(f326(f326(f234(a1),f2(a1)),f856(x81771,x81772,x81773)))
% 225.14/225.11 [8178]P147(x81783,x81782,x81781)+E(x81781,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81781),f866(x81781,x81782,x81783))),f862(x81781,x81782,x81783)),x81782)+P105(f326(f326(f234(a1),f2(a1)),f863(x81781,x81782,x81783)))
% 225.14/225.11 [8220]P147(x82203,x82202,x82201)+~P105(f326(x82203,x82202))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82201),f865(x82201,x82202,x82203))),f863(x82201,x82202,x82203)),x82202)+P105(f326(f326(f235(a1),x82201),f862(x82201,x82202,x82203)))
% 225.14/225.11 [8229]P148(x82293,x82292,x82291)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82291),f857(x82291,x82292,x82293))),f856(x82291,x82292,x82293)),x82292)+P105(f326(f326(f235(a1),x82291),f855(x82291,x82292,x82293)))+~P105(f326(x82293,f2(a1)))
% 225.14/225.11 [8235]P147(x82353,x82352,x82351)+~P105(f326(x82353,x82352))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82351),f866(x82351,x82352,x82353))),f862(x82351,x82352,x82353)),x82352)+P105(f326(f326(f234(a1),f2(a1)),f863(x82351,x82352,x82353)))
% 225.14/225.11 [8241]P148(x82413,x82412,x82411)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82411),f861(x82411,x82412,x82413))),f855(x82411,x82412,x82413)),x82412)+P105(f326(f326(f234(a1),f2(a1)),f856(x82411,x82412,x82413)))+~P105(f326(x82413,f2(a1)))
% 225.14/225.11 [8252]P148(x82523,x82522,x82521)+E(x82521,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82521),f857(x82521,x82522,x82523))),f856(x82521,x82522,x82523)),x82522)+~P105(f326(x82523,f861(x82521,x82522,x82523)))
% 225.14/225.11 [8253]P147(x82533,x82532,x82531)+E(x82531,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82531),f865(x82531,x82532,x82533))),f863(x82531,x82532,x82533)),x82532)+~P105(f326(x82533,f862(x82531,x82532,x82533)))
% 225.14/225.11 [8254]P148(x82543,x82542,x82541)+E(x82541,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82541),f861(x82541,x82542,x82543))),f855(x82541,x82542,x82543)),x82542)+~P105(f326(x82543,f857(x82541,x82542,x82543)))
% 225.14/225.11 [8255]P147(x82553,x82552,x82551)+E(x82551,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82551),f866(x82551,x82552,x82553))),f862(x82551,x82552,x82553)),x82552)+~P105(f326(x82553,f863(x82551,x82552,x82553)))
% 225.14/225.11 [8313]P147(x83133,x83132,x83131)+~P105(f326(x83133,x83132))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83131),f865(x83131,x83132,x83133))),f863(x83131,x83132,x83133)),x83132)+~P105(f326(x83133,f862(x83131,x83132,x83133)))
% 225.14/225.11 [8314]P147(x83143,x83142,x83141)+~P105(f326(x83143,x83142))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83141),f866(x83141,x83142,x83143))),f862(x83141,x83142,x83143)),x83142)+~P105(f326(x83143,f863(x83141,x83142,x83143)))
% 225.14/225.11 [8327]P148(x83273,x83272,x83271)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83271),f857(x83271,x83272,x83273))),f856(x83271,x83272,x83273)),x83272)+~P105(f326(x83273,f861(x83271,x83272,x83273)))+~P105(f326(x83273,f2(a1)))
% 225.14/225.11 [8328]P148(x83283,x83282,x83281)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83281),f861(x83281,x83282,x83283))),f855(x83281,x83282,x83283)),x83282)+~P105(f326(x83283,f857(x83281,x83282,x83283)))+~P105(f326(x83283,f2(a1)))
% 225.14/225.11 [8426]P148(x84263,x84262,x84261)+E(x84261,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84261),f857(x84261,x84262,x84263))),f856(x84261,x84262,x84263)),x84262)+P105(f326(f326(f234(a1),f855(x84261,x84262,x84263)),f2(a1)))
% 225.14/225.11 [8427]P147(x84273,x84272,x84271)+E(x84271,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84271),f865(x84271,x84272,x84273))),f863(x84271,x84272,x84273)),x84272)+P105(f326(f326(f234(a1),f862(x84271,x84272,x84273)),f2(a1)))
% 225.14/225.11 [8466]P147(x84663,x84662,x84661)+~P105(f326(x84663,x84662))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84661),f865(x84661,x84662,x84663))),f863(x84661,x84662,x84663)),x84662)+P105(f326(f326(f234(a1),f862(x84661,x84662,x84663)),f2(a1)))
% 225.14/225.11 [8471]P148(x84713,x84712,x84711)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84711),f857(x84711,x84712,x84713))),f856(x84711,x84712,x84713)),x84712)+~P105(f326(x84713,f2(a1)))+P105(f326(f326(f234(a1),f855(x84711,x84712,x84713)),f2(a1)))
% 225.14/225.11 [8604]P148(x86043,x86042,x86041)+E(x86041,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86041),f861(x86041,x86042,x86043))),f855(x86041,x86042,x86043)),x86042)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86041),f857(x86041,x86042,x86043))),f856(x86041,x86042,x86043)),x86042)
% 225.14/225.11 [8605]P147(x86053,x86052,x86051)+E(x86051,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86051),f866(x86051,x86052,x86053))),f862(x86051,x86052,x86053)),x86052)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86051),f865(x86051,x86052,x86053))),f863(x86051,x86052,x86053)),x86052)
% 225.14/225.11 [8625]P147(x86253,x86252,x86251)+~P105(f326(x86253,x86252))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86251),f866(x86251,x86252,x86253))),f862(x86251,x86252,x86253)),x86252)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86251),f865(x86251,x86252,x86253))),f863(x86251,x86252,x86253)),x86252)
% 225.14/225.11 [8636]P148(x86363,x86362,x86361)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86361),f861(x86361,x86362,x86363))),f855(x86361,x86362,x86363)),x86362)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86361),f857(x86361,x86362,x86363))),f856(x86361,x86362,x86363)),x86362)+~P105(f326(x86363,f2(a1)))
% 225.14/225.11 [9297]~P127(x92971)+~E(x92973,f2(x92971))+~E(x92972,f2(x92971))+P105(f326(f326(f234(x92971),f326(f326(f79(x92971),f326(f326(f80(x92971),x92972),x92972)),f326(f326(f80(x92971),x92973),x92973))),f2(x92971)))
% 225.14/225.11 [10374]~P113(x103741)+~E(x103743,f2(x103741))+~E(x103742,f2(x103741))+P105(f326(f326(f234(x103741),f326(f326(f79(x103741),f326(f326(f243(x103741),x103742),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103741),x103743),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103741)))
% 225.14/225.11 [4994]~E(x49943,x49941)+~P124(x49942)+E(x49941,f2(x49942))+E(f326(f326(f290(x49942),x49943),x49941),f77(x49942))
% 225.14/225.11 [5047]~P96(x50471)+~E(x50473,f188(x50471))+~E(x50472,f188(x50471))+E(f326(f326(f101(x50471),x50472),x50473),f188(x50471))
% 225.14/225.11 [5048]~P101(x50481)+~E(x50483,f241(x50481))+~E(x50482,f241(x50481))+E(f326(f326(f102(x50481),x50482),x50483),f241(x50481))
% 225.14/225.11 [5145]~P124(x51453)+E(x51451,x51452)+E(x51452,f2(x51453))+~E(f326(f326(f290(x51453),x51451),x51452),f77(x51453))
% 225.14/225.11 [5162]~P140(x51622)+E(x51621,f2(x51622))+E(x51623,f2(x51622))+~E(f326(f326(f80(x51622),x51623),x51621),f2(x51622))
% 225.14/225.11 [5164]~P134(x51642)+E(x51641,f2(x51642))+E(x51643,f2(x51642))+~E(f326(f326(f80(x51642),x51643),x51641),f2(x51642))
% 225.14/225.11 [5542]~P122(x55423)+E(x55421,x55422)+E(x55421,f326(f78(x55423),x55422))+~E(f326(f326(f80(x55423),x55421),x55421),f326(f326(f80(x55423),x55422),x55422))
% 225.14/225.11 [5581]~P94(x55811)+E(f326(f78(x55811),x55812),x55813)+~E(f326(f326(f101(x55811),x55812),x55813),f241(x55811))+~E(f326(f326(f102(x55811),x55812),x55813),f188(x55811))
% 225.14/225.11 [5660]~P113(x56603)+E(x56601,x56602)+P105(f326(f326(f235(x56603),x56602),x56601))+P105(f326(f326(f235(x56603),x56601),x56602))
% 225.14/225.11 [5661]~P108(x56613)+E(x56611,x56612)+P105(f326(f326(f235(x56613),x56612),x56611))+P105(f326(f326(f235(x56613),x56611),x56612))
% 225.14/225.11 [5662]~E(x56622,x56623)+~P108(x56621)+P105(f326(f326(f235(x56621),x56622),x56623))+P105(f326(f326(f234(x56621),x56622),x56623))
% 225.14/225.11 [5923]~P109(x59233)+E(x59231,x59232)+~P105(f326(f326(f234(x59233),x59232),x59231))+P105(f326(f326(f235(x59233),x59232),x59231))
% 225.14/225.11 [5925]~P108(x59253)+E(x59251,x59252)+~P105(f326(f326(f234(x59253),x59251),x59252))+P105(f326(f326(f235(x59253),x59251),x59252))
% 225.14/225.11 [5931]~P109(x59313)+E(x59311,x59312)+~P105(f326(f326(f234(x59313),x59311),x59312))+P105(f326(f326(f235(x59313),x59311),x59312))
% 225.14/225.11 [6042]P147(x60421,x60422,x60423)+~P105(f326(x60421,x60422))+P105(f326(f326(f235(a1),x60423),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x60423))
% 225.14/225.11 [6096]P148(x60961,x60962,x60963)+~P105(f326(x60961,f2(a1)))+P105(f326(f326(f235(a1),x60963),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x60963))
% 225.14/225.11 [6101]~P99(x61011)+E(f326(f326(f101(x61011),x61012),f13(x61011,x61013)),x61012)+~P105(f326(f60(x61011),x61013))+~P105(f326(f326(f328(x61011),x61012),x61013))
% 225.14/225.11 [6102]~P99(x61021)+E(f326(f326(f102(x61021),x61022),f12(x61021,x61023)),x61022)+~P105(f326(f60(x61021),x61023))+~P105(f326(f326(f328(x61021),x61022),x61023))
% 225.14/225.11 [6140]~P108(x61401)+E(f326(f326(f238(x61401),x61402),f17(x61401,x61403)),f17(x61401,x61403))+~P105(f326(f60(x61401),x61403))+~P105(f326(f326(f328(x61401),x61402),x61403))
% 225.14/225.11 [6141]~P108(x61411)+E(f326(f326(f233(x61411),x61412),f16(x61411,x61413)),f16(x61411,x61413))+~P105(f326(f60(x61411),x61413))+~P105(f326(f326(f328(x61411),x61412),x61413))
% 225.14/225.11 [6142]~P99(x61421)+E(f326(f326(f101(x61421),x61422),f12(x61421,x61423)),f12(x61421,x61423))+~P105(f326(f60(x61421),x61423))+~P105(f326(f326(f328(x61421),x61422),x61423))
% 225.14/225.11 [6143]~P99(x61431)+E(f326(f326(f102(x61431),x61432),f13(x61431,x61433)),f13(x61431,x61433))+~P105(f326(f60(x61431),x61433))+~P105(f326(f326(f328(x61431),x61432),x61433))
% 225.14/225.11 [6182]E(x61821,x61822)+~P109(x61823)+~P105(f326(f326(f234(x61823),x61822),x61821))+~P105(f326(f326(f234(x61823),x61821),x61822))
% 225.14/225.11 [6325]~P106(x63251)+P105(f326(f326(f235(x63251),x63253),x63252))+~P105(f326(f326(f234(x63251),x63253),x63252))+P105(f326(f326(f234(x63251),x63252),x63253))
% 225.14/225.11 [6351]~P108(x63511)+~P105(f326(f60(x63511),x63513))+P105(f326(f326(f234(x63511),x63512),f16(x63511,x63513)))+~P105(f326(f326(f328(x63511),x63512),x63513))
% 225.14/225.11 [6398]~P108(x63981)+E(f326(f326(f238(x63981),x63982),f15(x63981,f233(x63981),x63983)),x63982)+~P105(f326(f60(x63981),x63983))+~P105(f326(f326(f328(x63981),x63982),x63983))
% 225.14/225.11 [6399]~P108(x63991)+E(f326(f326(f233(x63991),x63992),f14(x63991,f238(x63991),x63993)),x63992)+~P105(f326(f60(x63991),x63993))+~P105(f326(f326(f328(x63991),x63992),x63993))
% 225.14/225.11 [6542]E(x65421,x65422)+~E(f326(f326(f3(a917),x65421),x65423),f326(f326(f3(a917),x65422),x65423))+~P105(f326(f326(f234(a917),x65423),x65421))+~P105(f326(f326(f234(a917),x65423),x65422))
% 225.14/225.11 [6568]~P108(x65681)+~P105(f326(f60(x65681),x65682))+~P105(f326(f326(f328(x65681),x65683),x65682))+P105(f326(f326(f234(x65681),f17(x65681,x65682)),x65683))
% 225.14/225.11 [6630]P148(x66302,x66303,x66301)+E(x66301,f2(a1))+P105(f326(f326(f235(a1),x66301),f855(x66301,x66303,x66302)))+P105(f326(f326(f235(a1),f2(a1)),x66301))
% 225.14/225.11 [6631]P147(x66312,x66313,x66311)+E(x66311,f2(a1))+P105(f326(f326(f235(a1),x66311),f862(x66311,x66313,x66312)))+P105(f326(f326(f235(a1),f2(a1)),x66311))
% 225.14/225.11 [6632]~P108(x66321)+E(f326(f326(f238(x66321),x66322),f14(x66321,f238(x66321),x66323)),f14(x66321,f238(x66321),x66323))+~P105(f326(f60(x66321),x66323))+~P105(f326(f326(f328(x66321),x66322),x66323))
% 225.14/225.11 [6633]~P108(x66331)+E(f326(f326(f233(x66331),x66332),f15(x66331,f233(x66331),x66333)),f15(x66331,f233(x66331),x66333))+~P105(f326(f60(x66331),x66333))+~P105(f326(f326(f328(x66331),x66332),x66333))
% 225.14/225.11 [6638]~P105(f326(x66381,x66382))+P105(f326(x66381,f348(x66382,x66381,x66383)))+P105(f326(x66381,f2(a917)))+~P105(f326(f326(f235(a917),x66382),x66383))
% 225.14/225.11 [6696]~P105(f326(x66961,x66962))+~P105(f326(f60(x66963),x66962))+P105(f326(x66961,f382(x66961,x66962,x66963)))+P105(f326(x66961,f188(f925(x66963,a913))))
% 225.14/225.11 [6709]~P113(x67091)+~P92(x67091)+P105(f326(f326(f234(x67091),f326(f104(x67091),x67092)),f326(f104(x67091),x67093)))+~P105(f326(f326(f234(a1),x67092),x67093))
% 225.14/225.11 [6710]~P113(x67101)+~P92(x67101)+P105(f326(f326(f235(x67101),f326(f104(x67101),x67102)),f326(f104(x67101),x67103)))+~P105(f326(f326(f235(a1),x67102),x67103))
% 225.14/225.11 [6713]~P105(f326(x67131,x67133))+~P105(f326(f60(x67132),x67133))+P105(f326(f60(x67132),f382(x67131,x67133,x67132)))+P105(f326(x67131,f188(f925(x67132,a913))))
% 225.14/225.11 [6747]P147(x67471,x67472,x67473)+~P105(f326(x67471,x67472))+P105(f326(f326(f235(a1),x67473),f862(x67473,x67472,x67471)))+P105(f326(f326(f235(a1),f2(a1)),x67473))
% 225.14/225.11 [6784]P148(x67841,x67842,x67843)+P105(f326(f326(f235(a1),x67843),f855(x67843,x67842,x67841)))+~P105(f326(x67841,f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x67843))
% 225.14/225.11 [6814]~P107(x68141)+~P91(x68141)+E(f326(f326(f238(x68141),f326(f104(x68141),x68142)),f326(f104(x68141),x68143)),f326(f104(x68141),x68143))+P105(f326(f326(f234(x68141),f326(f104(x68141),x68142)),f326(f104(x68141),x68143)))
% 225.14/225.11 [6815]~P107(x68151)+~P91(x68151)+E(f326(f326(f233(x68151),f326(f104(x68151),x68152)),f326(f104(x68151),x68153)),f326(f104(x68151),x68152))+P105(f326(f326(f234(x68151),f326(f104(x68151),x68152)),f326(f104(x68151),x68153)))
% 225.14/225.11 [6873]P148(x68732,x68733,x68731)+E(x68731,f2(a1))+~P105(f326(x68732,f861(x68731,x68733,x68732)))+P105(f326(f326(f235(a1),f2(a1)),x68731))
% 225.14/225.11 [6874]P147(x68742,x68743,x68741)+E(x68741,f2(a1))+~P105(f326(x68742,f862(x68741,x68743,x68742)))+P105(f326(f326(f235(a1),f2(a1)),x68741))
% 225.14/225.11 [6879]P105(f326(x68791,x68792))+~P105(f326(f60(x68793),x68792))+P105(f326(x68791,f541(x68791,x68792,x68793)))+~P105(f326(x68791,f188(f925(x68793,a913))))
% 225.14/225.11 [6900]P105(f326(x69001,x69002))+P105(f326(f60(x69003),f541(x69001,x69002,x69003)))+~P105(f326(f60(x69003),x69002))+~P105(f326(x69001,f188(f925(x69003,a913))))
% 225.14/225.11 [6964]P147(x69641,x69642,x69643)+~P105(f326(x69641,x69642))+~P105(f326(x69641,f862(x69643,x69642,x69641)))+P105(f326(f326(f235(a1),f2(a1)),x69643))
% 225.14/225.11 [6994]P148(x69941,x69942,x69943)+~P105(f326(x69941,f861(x69943,x69942,x69941)))+~P105(f326(x69941,f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x69943))
% 225.14/225.11 [7101]~P92(x71013)+~P113(x71013)+~P105(f326(f326(f234(x71013),f326(f104(x71013),x71011)),f326(f104(x71013),x71012)))+P105(f326(f326(f234(a1),x71011),x71012))
% 225.14/225.11 [7102]~P92(x71023)+~P113(x71023)+~P105(f326(f326(f235(x71023),f326(f104(x71023),x71021)),f326(f104(x71023),x71022)))+P105(f326(f326(f235(a1),x71021),x71022))
% 225.14/225.11 [7130]~P108(x71301)+~P13(x71301,x71303)+P13(x71301,f326(f326(f151(x71301),x71302),x71303))+~P105(f326(f326(f234(x71301),x71302),f711(x71303,x71302,x71301)))
% 225.14/225.11 [7131]~P108(x71311)+~P13(x71311,x71313)+P13(x71311,f326(f326(f151(x71311),x71312),x71313))+~P105(f326(f326(f234(x71311),x71312),f714(x71313,x71312,x71311)))
% 225.14/225.11 [7132]~P108(x71321)+~P13(x71321,x71323)+P13(x71321,f326(f326(f151(x71321),x71322),x71323))+~P105(f326(f326(f234(x71321),x71322),f752(x71322,x71323,x71321)))
% 225.14/225.11 [7216]P148(x72162,x72163,x72161)+E(x72161,f2(a1))+P105(f326(f326(f235(a1),x72161),f2(a1)))+P105(f326(f326(f235(a1),f856(x72161,x72163,x72162)),x72161))
% 225.14/225.11 [7217]P147(x72172,x72173,x72171)+E(x72171,f2(a1))+P105(f326(f326(f235(a1),x72171),f2(a1)))+P105(f326(f326(f235(a1),f863(x72171,x72173,x72172)),x72171))
% 225.14/225.11 [7254]P148(x72542,x72543,x72541)+E(x72541,f2(a1))+P105(f326(f326(f234(a1),f855(x72541,x72543,x72542)),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x72541))
% 225.14/225.11 [7255]P147(x72552,x72553,x72551)+E(x72551,f2(a1))+P105(f326(f326(f234(a1),f862(x72551,x72553,x72552)),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x72551))
% 225.14/225.11 [7280]~P108(x72801)+~P13(x72801,x72803)+E(f326(f326(f148(x72801,x72801,f7(x72801)),x72802),f170(x72801,x72802,x72803)),x72803)+~P105(f326(f326(f328(x72801),x72802),f326(f172(x72801),x72803)))
% 225.14/225.11 [7327]P147(x73271,x73272,x73273)+~P105(f326(x73271,x73272))+P105(f326(f326(f235(a1),x73273),f2(a1)))+P105(f326(f326(f235(a1),f863(x73273,x73272,x73271)),x73273))
% 225.14/225.11 [7333]~P107(x73331)+~P91(x73331)+E(f326(f326(f238(x73331),f326(f104(x73331),x73332)),f326(f104(x73331),x73333)),f326(f104(x73331),x73332))+~P105(f326(f326(f234(x73331),f326(f104(x73331),x73332)),f326(f104(x73331),x73333)))
% 225.14/225.11 [7334]~P107(x73341)+~P91(x73341)+E(f326(f326(f233(x73341),f326(f104(x73341),x73342)),f326(f104(x73341),x73343)),f326(f104(x73341),x73343))+~P105(f326(f326(f234(x73341),f326(f104(x73341),x73342)),f326(f104(x73341),x73343)))
% 225.14/225.11 [7348]P148(x73481,x73482,x73483)+~P105(f326(x73481,f2(a1)))+P105(f326(f326(f235(a1),x73483),f2(a1)))+P105(f326(f326(f235(a1),f856(x73483,x73482,x73481)),x73483))
% 225.14/225.11 [7358]P147(x73581,x73582,x73583)+~P105(f326(x73581,x73582))+P105(f326(f326(f234(a1),f862(x73583,x73582,x73581)),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x73583))
% 225.14/225.11 [7382]P148(x73821,x73822,x73823)+~P105(f326(x73821,f2(a1)))+P105(f326(f326(f234(a1),f855(x73823,x73822,x73821)),f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x73823))
% 225.14/225.11 [7410]~P105(f326(x74101,x74102))+P105(f326(x74101,f2(a917)))+~P105(f326(f326(f235(a917),x74102),x74103))+P105(f326(f326(f235(a917),f348(x74102,x74101,x74103)),x74103))
% 225.14/225.11 [7427]~P108(x74271)+~P13(x74271,x74273)+P13(x74271,f326(f326(f151(x74271),x74272),x74273))+P105(f326(f326(f328(x74271),f711(x74273,x74272,x74271)),f326(f172(x74271),x74273)))
% 225.14/225.11 [7428]~P108(x74281)+~P13(x74281,x74283)+P13(x74281,f326(f326(f151(x74281),x74282),x74283))+P105(f326(f326(f328(x74281),f714(x74283,x74282,x74281)),f326(f172(x74281),x74283)))
% 225.14/225.11 [7429]~P108(x74291)+~P13(x74291,x74293)+P13(x74291,f326(f326(f151(x74291),x74292),x74293))+P105(f326(f326(f328(x74291),f752(x74292,x74293,x74291)),f326(f172(x74291),x74293)))
% 225.14/225.11 [7546]~P108(x75461)+~P5(x75461)+~P105(f326(f326(f235(x75461),x75463),f36(x75461,x75462)))+P105(f326(f326(f328(x75461),f446(x75462,x75463,x75461)),x75462))
% 225.14/225.11 [7701]~P108(x77011)+~P5(x77011)+~P105(f326(f326(f235(x77011),f37(x77011,x77013)),x77012))+P105(f326(f326(f328(x77011),f471(x77012,x77013,x77011)),x77013))
% 225.14/225.11 [7702]~P108(x77021)+~P5(x77021)+~P105(f326(f326(f235(x77021),f37(x77021,x77023)),x77022))+P105(f326(f326(f235(x77021),f471(x77022,x77023,x77021)),x77022))
% 225.14/225.11 [7714]P148(x77142,x77143,x77141)+E(x77141,f2(a1))+P105(f326(f326(f235(a1),x77141),f855(x77141,x77143,x77142)))+P105(f326(f326(f235(a1),f856(x77141,x77143,x77142)),x77141))
% 225.14/225.11 [7715]P147(x77152,x77153,x77151)+E(x77151,f2(a1))+P105(f326(f326(f235(a1),x77151),f862(x77151,x77153,x77152)))+P105(f326(f326(f235(a1),f863(x77151,x77153,x77152)),x77151))
% 225.14/225.11 [7808]P148(x78083,x78082,x78081)+E(x78081,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78081),f861(x78081,x78082,x78083))),f855(x78081,x78082,x78083)),x78082)+P105(f326(f326(f235(a1),f2(a1)),x78081))
% 225.14/225.11 [7809]P147(x78093,x78092,x78091)+E(x78091,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78091),f866(x78091,x78092,x78093))),f862(x78091,x78092,x78093)),x78092)+P105(f326(f326(f235(a1),f2(a1)),x78091))
% 225.14/225.11 [7811]~P127(x78111)+~P105(f326(f326(f234(x78111),x78113),f2(x78111)))+P105(f326(f326(f234(x78111),f326(f326(f80(x78111),x78112),x78113)),f2(x78111)))+~P105(f326(f326(f234(x78111),f2(x78111)),x78112))
% 225.14/225.11 [7812]~P127(x78121)+~P105(f326(f326(f234(x78121),x78122),f2(x78121)))+P105(f326(f326(f234(x78121),f326(f326(f80(x78121),x78122),x78123)),f2(x78121)))+~P105(f326(f326(f234(x78121),f2(x78121)),x78123))
% 225.14/225.11 [7814]~P135(x78141)+~P105(f326(f326(f234(x78141),x78143),f2(x78141)))+P105(f326(f326(f234(x78141),f326(f326(f80(x78141),x78142),x78143)),f2(x78141)))+~P105(f326(f326(f234(x78141),f2(x78141)),x78142))
% 225.14/225.11 [7816]~P135(x78161)+~P105(f326(f326(f234(x78161),x78162),f2(x78161)))+P105(f326(f326(f234(x78161),f326(f326(f80(x78161),x78162),x78163)),f2(x78161)))+~P105(f326(f326(f234(x78161),f2(x78161)),x78163))
% 225.14/225.11 [7817]~P63(x78171)+~P105(f326(f326(f234(x78171),x78173),f2(x78171)))+P105(f326(f326(f234(x78171),f326(f326(f290(x78171),x78172),x78173)),f2(x78171)))+~P105(f326(f326(f234(x78171),f2(x78171)),x78172))
% 225.14/225.11 [7818]~P63(x78181)+~P105(f326(f326(f234(x78181),x78182),f2(x78181)))+P105(f326(f326(f234(x78181),f326(f326(f290(x78181),x78182),x78183)),f2(x78181)))+~P105(f326(f326(f234(x78181),f2(x78181)),x78183))
% 225.14/225.11 [7819]~P64(x78191)+~P105(f326(f326(f234(x78191),x78192),f2(x78191)))+P105(f326(f326(f234(x78191),f326(f326(f290(x78191),x78192),x78193)),f2(x78191)))+~P105(f326(f326(f235(x78191),f2(x78191)),x78193))
% 225.14/225.11 [7820]~P64(x78201)+~P105(f326(f326(f235(x78201),x78203),f2(x78201)))+P105(f326(f326(f234(x78201),f326(f326(f290(x78201),x78202),x78203)),f2(x78201)))+~P105(f326(f326(f234(x78201),f2(x78201)),x78202))
% 225.14/225.11 [7822]~P133(x78221)+~P105(f326(f326(f235(x78221),x78223),f2(x78221)))+P105(f326(f326(f235(x78221),f326(f326(f80(x78221),x78222),x78223)),f2(x78221)))+~P105(f326(f326(f235(x78221),f2(x78221)),x78222))
% 225.14/225.11 [7823]~P133(x78231)+~P105(f326(f326(f235(x78231),x78232),f2(x78231)))+P105(f326(f326(f235(x78231),f326(f326(f80(x78231),x78232),x78233)),f2(x78231)))+~P105(f326(f326(f235(x78231),f2(x78231)),x78233))
% 225.14/225.11 [7824]~P63(x78241)+~P105(f326(f326(f235(x78241),x78243),f2(x78241)))+P105(f326(f326(f235(x78241),f326(f326(f290(x78241),x78242),x78243)),f2(x78241)))+~P105(f326(f326(f235(x78241),f2(x78241)),x78242))
% 225.14/225.11 [7825]~P63(x78251)+~P105(f326(f326(f235(x78251),x78252),f2(x78251)))+P105(f326(f326(f235(x78251),f326(f326(f290(x78251),x78252),x78253)),f2(x78251)))+~P105(f326(f326(f235(x78251),f2(x78251)),x78253))
% 225.14/225.11 [7826]~P64(x78261)+~P105(f326(f326(f235(x78261),x78263),f2(x78261)))+P105(f326(f326(f235(x78261),f326(f326(f290(x78261),x78262),x78263)),f2(x78261)))+~P105(f326(f326(f235(x78261),f2(x78261)),x78262))
% 225.14/225.11 [7827]~P64(x78271)+~P105(f326(f326(f235(x78271),x78272),f2(x78271)))+P105(f326(f326(f235(x78271),f326(f326(f290(x78271),x78272),x78273)),f2(x78271)))+~P105(f326(f326(f235(x78271),f2(x78271)),x78273))
% 225.14/225.11 [7842]P147(x78421,x78422,x78423)+~P105(f326(x78421,x78422))+P105(f326(f326(f235(a1),x78423),f862(x78423,x78422,x78421)))+P105(f326(f326(f235(a1),f863(x78423,x78422,x78421)),x78423))
% 225.14/225.11 [7855]P148(x78551,x78552,x78553)+P105(f326(f326(f235(a1),x78553),f855(x78553,x78552,x78551)))+~P105(f326(x78551,f2(a1)))+P105(f326(f326(f235(a1),f856(x78553,x78552,x78551)),x78553))
% 225.14/225.11 [7907]P148(x79072,x79073,x79071)+E(x79071,f2(a1))+~P105(f326(x79072,f861(x79071,x79073,x79072)))+P105(f326(f326(f235(a1),f856(x79071,x79073,x79072)),x79071))
% 225.14/225.11 [7908]P147(x79082,x79083,x79081)+E(x79081,f2(a1))+~P105(f326(x79082,f862(x79081,x79083,x79082)))+P105(f326(f326(f235(a1),f863(x79081,x79083,x79082)),x79081))
% 225.14/225.11 [7918]P147(x79183,x79182,x79181)+~P105(f326(x79183,x79182))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79181),f866(x79181,x79182,x79183))),f862(x79181,x79182,x79183)),x79182)+P105(f326(f326(f235(a1),f2(a1)),x79181))
% 225.14/225.11 [7933]P148(x79333,x79332,x79331)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79331),f861(x79331,x79332,x79333))),f855(x79331,x79332,x79333)),x79332)+~P105(f326(x79333,f2(a1)))+P105(f326(f326(f235(a1),f2(a1)),x79331))
% 225.14/225.11 [7961]~P105(f326(x79611,x79613))+~P105(f326(f60(x79612),x79613))+P105(f326(f326(f328(x79612),f420(x79611,x79613,x79612)),f382(x79611,x79613,x79612)))+P105(f326(x79611,f188(f925(x79612,a913))))
% 225.14/225.11 [7972]P147(x79721,x79722,x79723)+~P105(f326(x79721,x79722))+~P105(f326(x79721,f862(x79723,x79722,x79721)))+P105(f326(f326(f235(a1),f863(x79723,x79722,x79721)),x79723))
% 225.14/225.11 [7978]P148(x79781,x79782,x79783)+~P105(f326(x79781,f861(x79783,x79782,x79781)))+~P105(f326(x79781,f2(a1)))+P105(f326(f326(f235(a1),f856(x79783,x79782,x79781)),x79783))
% 225.14/225.11 [8079]~P127(x80791)+~P105(f326(f326(f234(x80791),f326(f326(f80(x80791),x80793),x80792)),f2(x80791)))+P105(f326(f326(f234(x80791),x80792),f2(x80791)))+P105(f326(f326(f234(x80791),f2(x80791)),x80792))
% 225.14/225.11 [8080]~P127(x80801)+~P105(f326(f326(f234(x80801),f326(f326(f80(x80801),x80802),x80803)),f2(x80801)))+P105(f326(f326(f234(x80801),x80802),f2(x80801)))+P105(f326(f326(f234(x80801),f2(x80801)),x80802))
% 225.14/225.11 [8081]~P63(x80811)+~P105(f326(f326(f234(x80811),f326(f326(f290(x80811),x80813),x80812)),f2(x80811)))+P105(f326(f326(f234(x80811),x80812),f2(x80811)))+P105(f326(f326(f234(x80811),f2(x80811)),x80812))
% 225.14/225.11 [8082]~P63(x80821)+~P105(f326(f326(f234(x80821),f326(f326(f290(x80821),x80822),x80823)),f2(x80821)))+P105(f326(f326(f234(x80821),x80822),f2(x80821)))+P105(f326(f326(f234(x80821),f2(x80821)),x80822))
% 225.14/225.11 [8083]~P63(x80831)+~P105(f326(f326(f235(x80831),f326(f326(f290(x80831),x80833),x80832)),f2(x80831)))+P105(f326(f326(f235(x80831),x80832),f2(x80831)))+P105(f326(f326(f235(x80831),f2(x80831)),x80832))
% 225.14/225.11 [8084]~P63(x80841)+~P105(f326(f326(f235(x80841),f326(f326(f290(x80841),x80842),x80843)),f2(x80841)))+P105(f326(f326(f235(x80841),x80842),f2(x80841)))+P105(f326(f326(f235(x80841),f2(x80841)),x80842))
% 225.14/225.11 [8108]~P127(x81081)+~P105(f326(f326(f234(x81081),f326(f326(f80(x81081),x81082),x81083)),f2(x81081)))+P105(f326(f326(f234(x81081),f2(x81081)),x81082))+P105(f326(f326(f234(x81081),f2(x81081)),x81083))
% 225.14/225.11 [8109]~P63(x81091)+~P105(f326(f326(f234(x81091),f326(f326(f290(x81091),x81092),x81093)),f2(x81091)))+P105(f326(f326(f234(x81091),f2(x81091)),x81092))+P105(f326(f326(f234(x81091),f2(x81091)),x81093))
% 225.14/225.11 [8110]~P63(x81101)+~P105(f326(f326(f235(x81101),f326(f326(f290(x81101),x81102),x81103)),f2(x81101)))+P105(f326(f326(f235(x81101),f2(x81101)),x81102))+P105(f326(f326(f235(x81101),f2(x81101)),x81103))
% 225.14/225.11 [8132]P148(x81322,x81323,x81321)+E(x81321,f2(a1))+P105(f326(f326(f234(a1),f855(x81321,x81323,x81322)),f2(a1)))+P105(f326(f326(f235(a1),f856(x81321,x81323,x81322)),x81321))
% 225.14/225.11 [8133]P147(x81332,x81333,x81331)+E(x81331,f2(a1))+P105(f326(f326(f234(a1),f862(x81331,x81333,x81332)),f2(a1)))+P105(f326(f326(f235(a1),f863(x81331,x81333,x81332)),x81331))
% 225.14/225.11 [8140]~P112(x81401)+~P105(f326(f326(f235(x81401),x81402),f77(x81401)))+P105(f326(f326(f235(x81401),f326(f326(f243(x81401),x81402),f326(a112,x81403))),f77(x81401)))+~P105(f326(f326(f235(x81401),f2(x81401)),x81402))
% 225.14/225.11 [8194]~P108(x81941)+~E(x81943,f113(x81941))+~P13(x81941,f326(f168(x81941),x81943))+E(f326(f142(x81941,x81941,f326(f9(x81941,x81941,x81941),f233(x81941)),x81942),f326(f168(x81941),x81943)),x81942)
% 225.14/225.11 [8197]P147(x81971,x81972,x81973)+~P105(f326(x81971,x81972))+P105(f326(f326(f234(a1),f862(x81973,x81972,x81971)),f2(a1)))+P105(f326(f326(f235(a1),f863(x81973,x81972,x81971)),x81973))
% 225.14/225.11 [8204]P148(x82041,x82042,x82043)+~P105(f326(x82041,f2(a1)))+P105(f326(f326(f234(a1),f855(x82043,x82042,x82041)),f2(a1)))+P105(f326(f326(f235(a1),f856(x82043,x82042,x82041)),x82043))
% 225.14/225.11 [8421]P148(x84213,x84212,x84211)+E(x84211,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84211),f861(x84211,x84212,x84213))),f855(x84211,x84212,x84213)),x84212)+P105(f326(f326(f235(a1),f856(x84211,x84212,x84213)),x84211))
% 225.14/225.11 [8422]P147(x84223,x84222,x84221)+E(x84221,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84221),f866(x84221,x84222,x84223))),f862(x84221,x84222,x84223)),x84222)+P105(f326(f326(f235(a1),f863(x84221,x84222,x84223)),x84221))
% 225.14/225.11 [8457]P147(x84573,x84572,x84571)+~P105(f326(x84573,x84572))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84571),f866(x84571,x84572,x84573))),f862(x84571,x84572,x84573)),x84572)+P105(f326(f326(f235(a1),f863(x84571,x84572,x84573)),x84571))
% 225.14/225.11 [8458]~P69(x84581)+~P70(x84581)+~P40(x84583)+E(f326(f326(f8(a917,x84581),f326(f326(f10(a1,x84581,a917),x84582),f100(a1))),f326(f309(a1,a917,a105),x84583)),f326(f326(f8(a1,x84581),x84582),x84583))
% 225.14/225.11 [8459]~P69(x84591)+~P70(x84591)+~P40(x84593)+E(f326(f326(f11(a917,x84591),f326(f326(f10(a1,x84591,a917),x84592),f100(a1))),f326(f309(a1,a917,a105),x84593)),f326(f326(f11(a1,x84591),x84592),x84593))
% 225.14/225.11 [8468]P148(x84683,x84682,x84681)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84681),f861(x84681,x84682,x84683))),f855(x84681,x84682,x84683)),x84682)+~P105(f326(x84683,f2(a1)))+P105(f326(f326(f235(a1),f856(x84681,x84682,x84683)),x84681))
% 225.14/225.11 [8490]~E(x84902,f2(a917))+~E(f326(f250(a917,a917),x84903),f2(a917))+~E(x84901,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x84903)),x84902)),f326(f255(a917,a917),x84903)))+P105(f326(f47(x84901,x84902),x84903))
% 225.14/225.11 [8546]P105(f326(x85461,x85462))+~P105(f326(f326(f328(x85463),f523(x85461,x85462,x85463)),f541(x85461,x85462,x85463)))+~P105(f326(f60(x85463),x85462))+~P105(f326(x85461,f188(f925(x85463,a913))))
% 225.14/225.11 [9169]P105(f326(x91691,x91692))+~P105(f326(f60(x91693),x91692))+~P105(f326(x91691,f326(f326(f308(x91693),f523(x91691,x91692,x91693)),f541(x91691,x91692,x91693))))+~P105(f326(x91691,f188(f925(x91693,a913))))
% 225.14/225.11 [9399]P105(f326(f326(f234(a1),x93991),f2(a1)))+~P105(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x93993),x93991)),x93992)),f2(a1)))+~P105(f326(f326(f234(a1),f2(a1)),x93992))+~P105(f326(f326(f235(a1),f2(a1)),x93993))
% 225.14/225.11 [5993]~P108(x59932)+E(x59931,f188(f925(x59932,a913)))+~P105(f326(f60(x59932),x59931))+E(f16(x59932,f326(f326(f308(x59932),x59933),x59931)),f326(f326(f233(x59932),x59933),f16(x59932,x59931)))
% 225.14/225.11 [5994]~P108(x59942)+E(x59941,f188(f925(x59942,a913)))+~P105(f326(f60(x59942),x59941))+E(f17(x59942,f326(f326(f308(x59942),x59943),x59941)),f326(f326(f238(x59942),x59943),f17(x59942,x59941)))
% 225.14/225.11 [5995]~P99(x59952)+E(x59951,f188(f925(x59952,a913)))+~P105(f326(f60(x59952),x59951))+E(f12(x59952,f326(f326(f308(x59952),x59953),x59951)),f326(f326(f101(x59952),x59953),f12(x59952,x59951)))
% 225.14/225.11 [5996]~P99(x59962)+E(x59961,f188(f925(x59962,a913)))+~P105(f326(f60(x59962),x59961))+E(f13(x59962,f326(f326(f308(x59962),x59963),x59961)),f326(f326(f102(x59962),x59963),f13(x59962,x59961)))
% 225.14/225.11 [6322]~P127(x63221)+~E(x63223,f2(x63221))+~E(x63222,f2(x63221))+E(f326(f326(f79(x63221),f326(f326(f80(x63221),x63222),x63222)),f326(f326(f80(x63221),x63223),x63223)),f2(x63221))
% 225.14/225.11 [6391]~P95(x63912)+E(x63911,f188(f925(x63912,a913)))+~P105(f326(f60(x63912),x63911))+E(f326(f62(x63912,f80(x63912)),f326(f326(f308(x63912),x63913),x63911)),f326(f326(f80(x63912),x63913),f326(f62(x63912,f80(x63912)),x63911)))
% 225.14/225.11 [6518]~P108(x65182)+E(x65181,f188(f925(x65182,a913)))+~P105(f326(f60(x65182),x65181))+E(f14(x65182,f238(x65182),f326(f326(f308(x65182),x65183),x65181)),f326(f326(f238(x65182),x65183),f14(x65182,f238(x65182),x65181)))
% 225.14/225.11 [6519]~P108(x65192)+E(x65191,f188(f925(x65192,a913)))+~P105(f326(f60(x65192),x65191))+E(f15(x65192,f233(x65192),f326(f326(f308(x65192),x65193),x65191)),f326(f326(f233(x65192),x65193),f15(x65192,f233(x65192),x65191)))
% 225.14/225.11 [7028]~P66(x70281)+~P105(f326(f60(x70281),x70283))+E(f326(f62(x70281,f80(x70281)),f326(f326(f308(x70281),x70282),x70283)),f326(f326(f63(x70281,x70281,f80(x70281)),x70282),x70283))+P105(f326(f326(f328(x70281),x70282),x70283))
% 225.14/225.11 [7108]~E(f326(f326(f79(a1),x71082),f326(f326(f80(a1),x71083),x71081)),x71083)+~P105(f326(f326(f235(a1),f2(a1)),x71083))+P105(f326(f326(f234(a1),f77(a1)),x71081))+~P105(f326(f326(f235(a1),x71082),x71083))
% 225.14/225.11 [7137]~E(f326(f326(f79(a1),x71372),f326(f326(f80(a1),x71373),x71371)),x71373)+P105(f326(f326(f234(a1),x71371),f77(a1)))+~P105(f326(f326(f234(a1),f2(a1)),x71372))+~P105(f326(f326(f235(a1),f2(a1)),x71373))
% 225.14/225.11 [7154]E(x71541,f2(a917))+~P105(f326(f47(x71543,x71541),x71542))+~P105(f326(f326(f235(a917),f2(a917)),x71541))+P105(f326(f326(f235(a917),f326(f255(a917,a917),x71542)),x71541))
% 225.14/225.11 [7184]~P138(x71841)+~P105(f326(f326(f234(x71841),x71842),f2(x71841)))+~P105(f326(f326(f234(x71841),x71843),f2(x71841)))+E(f326(f326(f80(x71841),f326(f75(x71841),x71842)),f326(f75(x71841),x71843)),f326(f75(x71841),f326(f326(f80(x71841),x71842),x71843)))
% 225.14/225.11 [7231]~P138(x72311)+~P105(f326(f326(f234(x72311),x72312),f2(x72311)))+E(f326(f326(f80(x72311),f326(f75(x72311),x72312)),f326(f75(x72311),x72313)),f326(f75(x72311),f326(f326(f80(x72311),x72312),x72313)))+~P105(f326(f326(f234(x72311),f2(x72311)),x72313))
% 225.14/225.11 [7232]~P138(x72321)+~P105(f326(f326(f234(x72321),x72323),f2(x72321)))+E(f326(f326(f80(x72321),f326(f75(x72321),x72322)),f326(f75(x72321),x72323)),f326(f75(x72321),f326(f326(f80(x72321),x72322),x72323)))+~P105(f326(f326(f234(x72321),f2(x72321)),x72322))
% 225.14/225.11 [7288]~P138(x72881)+E(f326(f326(f80(x72881),f326(f75(x72881),x72882)),f326(f75(x72881),x72883)),f326(f75(x72881),f326(f326(f80(x72881),x72882),x72883)))+~P105(f326(f326(f234(x72881),f2(x72881)),x72882))+~P105(f326(f326(f234(x72881),f2(x72881)),x72883))
% 225.14/225.11 [7305]~P111(x73051)+~P105(f326(f326(f234(x73051),x73053),f2(x73051)))+~P105(f326(f326(f234(x73051),x73052),f2(x73051)))+P105(f326(f326(f234(x73051),f2(x73051)),f326(f326(f80(x73051),x73052),x73053)))
% 225.14/225.11 [7306]~P127(x73061)+~P105(f326(f326(f234(x73061),x73063),f2(x73061)))+~P105(f326(f326(f234(x73061),x73062),f2(x73061)))+P105(f326(f326(f234(x73061),f2(x73061)),f326(f326(f80(x73061),x73062),x73063)))
% 225.14/225.11 [7307]~P63(x73071)+~P105(f326(f326(f234(x73071),x73073),f2(x73071)))+~P105(f326(f326(f234(x73071),x73072),f2(x73071)))+P105(f326(f326(f234(x73071),f2(x73071)),f326(f326(f290(x73071),x73072),x73073)))
% 225.14/225.11 [7308]~P64(x73081)+~P105(f326(f326(f235(x73081),x73083),f2(x73081)))+~P105(f326(f326(f234(x73081),x73082),f2(x73081)))+P105(f326(f326(f234(x73081),f2(x73081)),f326(f326(f290(x73081),x73082),x73083)))
% 225.14/225.11 [7309]~P127(x73091)+~P105(f326(f326(f235(x73091),x73093),f2(x73091)))+~P105(f326(f326(f235(x73091),x73092),f2(x73091)))+P105(f326(f326(f235(x73091),f2(x73091)),f326(f326(f80(x73091),x73092),x73093)))
% 225.14/225.11 [7310]~P63(x73101)+~P105(f326(f326(f235(x73101),x73103),f2(x73101)))+~P105(f326(f326(f235(x73101),x73102),f2(x73101)))+P105(f326(f326(f235(x73101),f2(x73101)),f326(f326(f290(x73101),x73102),x73103)))
% 225.14/225.11 [7311]~P64(x73111)+~P105(f326(f326(f235(x73111),x73113),f2(x73111)))+~P105(f326(f326(f235(x73111),x73112),f2(x73111)))+P105(f326(f326(f235(x73111),f2(x73111)),f326(f326(f290(x73111),x73112),x73113)))
% 225.14/225.11 [7312]~P112(x73121)+~P105(f326(f326(f235(a917),f2(a917)),x73123))+~P105(f326(f326(f235(x73121),f77(x73121)),x73122))+P105(f326(f326(f235(x73121),f77(x73121)),f326(f326(f243(x73121),x73122),x73123)))
% 225.14/225.11 [7411]~P111(x74111)+~P105(f326(f326(f234(x74111),f2(x74111)),x74113))+~P105(f326(f326(f234(x74111),f2(x74111)),x74112))+P105(f326(f326(f234(x74111),f2(x74111)),f326(f326(f80(x74111),x74112),x74113)))
% 225.14/225.11 [7412]~P127(x74121)+~P105(f326(f326(f234(x74121),f2(x74121)),x74123))+~P105(f326(f326(f234(x74121),f2(x74121)),x74122))+P105(f326(f326(f234(x74121),f2(x74121)),f326(f326(f80(x74121),x74122),x74123)))
% 225.14/225.11 [7413]~P135(x74131)+~P105(f326(f326(f234(x74131),f2(x74131)),x74133))+~P105(f326(f326(f234(x74131),f2(x74131)),x74132))+P105(f326(f326(f234(x74131),f2(x74131)),f326(f326(f80(x74131),x74132),x74133)))
% 225.14/225.11 [7415]~P63(x74151)+~P105(f326(f326(f234(x74151),f2(x74151)),x74153))+~P105(f326(f326(f234(x74151),f2(x74151)),x74152))+P105(f326(f326(f234(x74151),f2(x74151)),f326(f326(f290(x74151),x74152),x74153)))
% 225.14/225.11 [7416]~P64(x74161)+~P105(f326(f326(f235(x74161),f2(x74161)),x74163))+~P105(f326(f326(f234(x74161),f2(x74161)),x74162))+P105(f326(f326(f234(x74161),f2(x74161)),f326(f326(f290(x74161),x74162),x74163)))
% 225.14/225.11 [7417]~P112(x74171)+~P105(f326(f326(f235(x74171),f77(x74171)),x74173))+~P105(f326(f326(f235(x74171),f77(x74171)),x74172))+P105(f326(f326(f235(x74171),f77(x74171)),f326(f326(f80(x74171),x74172),x74173)))
% 225.14/225.11 [7418]~P133(x74181)+~P105(f326(f326(f235(x74181),f2(x74181)),x74183))+~P105(f326(f326(f235(x74181),f2(x74181)),x74182))+P105(f326(f326(f235(x74181),f2(x74181)),f326(f326(f80(x74181),x74182),x74183)))
% 225.14/225.11 [7421]~P86(x74211)+~P105(f326(f326(f235(x74211),f2(x74211)),x74213))+~P105(f326(f326(f235(x74211),f2(x74211)),x74212))+P105(f326(f326(f235(x74211),f2(x74211)),f326(f326(f79(x74211),x74212),x74213)))
% 225.14/225.11 [7422]~P63(x74221)+~P105(f326(f326(f235(x74221),f2(x74221)),x74223))+~P105(f326(f326(f235(x74221),f2(x74221)),x74222))+P105(f326(f326(f235(x74221),f2(x74221)),f326(f326(f290(x74221),x74222),x74223)))
% 225.14/225.11 [7423]~P64(x74231)+~P105(f326(f326(f235(x74231),f2(x74231)),x74233))+~P105(f326(f326(f235(x74231),f2(x74231)),x74232))+P105(f326(f326(f235(x74231),f2(x74231)),f326(f326(f290(x74231),x74232),x74233)))
% 225.14/225.11 [7505]~P108(x75051)+~P105(f326(f60(x75051),x75053))+E(f16(x75051,f326(f326(f308(x75051),x75052),x75053)),x75052)+~E(f326(f326(f3(f925(x75051,a913)),x75053),f326(f326(f308(x75051),x75052),f188(f925(x75051,a913)))),f188(f925(x75051,a913)))
% 225.14/225.11 [7506]~P108(x75061)+~P105(f326(f60(x75061),x75063))+E(f17(x75061,f326(f326(f308(x75061),x75062),x75063)),x75062)+~E(f326(f326(f3(f925(x75061,a913)),x75063),f326(f326(f308(x75061),x75062),f188(f925(x75061,a913)))),f188(f925(x75061,a913)))
% 225.14/225.11 [7507]~P99(x75071)+~P105(f326(f60(x75071),x75073))+E(f12(x75071,f326(f326(f308(x75071),x75072),x75073)),x75072)+~E(f326(f326(f3(f925(x75071,a913)),x75073),f326(f326(f308(x75071),x75072),f188(f925(x75071,a913)))),f188(f925(x75071,a913)))
% 225.14/225.11 [7508]~P99(x75081)+~P105(f326(f60(x75081),x75083))+E(f13(x75081,f326(f326(f308(x75081),x75082),x75083)),x75082)+~E(f326(f326(f3(f925(x75081,a913)),x75083),f326(f326(f308(x75081),x75082),f188(f925(x75081,a913)))),f188(f925(x75081,a913)))
% 225.14/225.11 [7510]~P127(x75101)+P105(f326(f326(f234(x75101),x75102),f2(x75101)))+P105(f326(f326(f234(x75101),f2(x75101)),x75103))+~P105(f326(f326(f234(x75101),f2(x75101)),f326(f326(f80(x75101),x75103),x75102)))
% 225.14/225.11 [7511]~P127(x75111)+P105(f326(f326(f234(x75111),x75112),f2(x75111)))+P105(f326(f326(f234(x75111),f2(x75111)),x75113))+~P105(f326(f326(f234(x75111),f2(x75111)),f326(f326(f80(x75111),x75112),x75113)))
% 225.14/225.11 [7512]~P63(x75121)+P105(f326(f326(f234(x75121),x75122),f2(x75121)))+P105(f326(f326(f234(x75121),f2(x75121)),x75123))+~P105(f326(f326(f234(x75121),f2(x75121)),f326(f326(f290(x75121),x75123),x75122)))
% 225.14/225.11 [7513]~P63(x75131)+P105(f326(f326(f234(x75131),x75132),f2(x75131)))+P105(f326(f326(f234(x75131),f2(x75131)),x75133))+~P105(f326(f326(f234(x75131),f2(x75131)),f326(f326(f290(x75131),x75132),x75133)))
% 225.14/225.11 [7514]~P127(x75141)+P105(f326(f326(f234(x75141),x75142),f2(x75141)))+P105(f326(f326(f234(x75141),f2(x75141)),x75142))+~P105(f326(f326(f234(x75141),f2(x75141)),f326(f326(f80(x75141),x75143),x75142)))
% 225.14/225.11 [7515]~P127(x75151)+P105(f326(f326(f234(x75151),x75152),f2(x75151)))+P105(f326(f326(f234(x75151),f2(x75151)),x75152))+~P105(f326(f326(f234(x75151),f2(x75151)),f326(f326(f80(x75151),x75152),x75153)))
% 225.14/225.11 [7516]~P63(x75161)+P105(f326(f326(f234(x75161),x75162),f2(x75161)))+P105(f326(f326(f234(x75161),f2(x75161)),x75162))+~P105(f326(f326(f234(x75161),f2(x75161)),f326(f326(f290(x75161),x75163),x75162)))
% 225.14/225.11 [7517]~P63(x75171)+P105(f326(f326(f234(x75171),x75172),f2(x75171)))+P105(f326(f326(f234(x75171),f2(x75171)),x75172))+~P105(f326(f326(f234(x75171),f2(x75171)),f326(f326(f290(x75171),x75172),x75173)))
% 225.14/225.11 [7518]~P63(x75181)+P105(f326(f326(f235(x75181),x75182),f2(x75181)))+P105(f326(f326(f235(x75181),f2(x75181)),x75183))+~P105(f326(f326(f235(x75181),f2(x75181)),f326(f326(f290(x75181),x75183),x75182)))
% 225.14/225.11 [7519]~P63(x75191)+P105(f326(f326(f235(x75191),x75192),f2(x75191)))+P105(f326(f326(f235(x75191),f2(x75191)),x75193))+~P105(f326(f326(f235(x75191),f2(x75191)),f326(f326(f290(x75191),x75192),x75193)))
% 225.14/225.11 [7520]~P63(x75201)+P105(f326(f326(f235(x75201),x75202),f2(x75201)))+P105(f326(f326(f235(x75201),f2(x75201)),x75202))+~P105(f326(f326(f235(x75201),f2(x75201)),f326(f326(f290(x75201),x75203),x75202)))
% 225.14/225.11 [7521]~P63(x75211)+P105(f326(f326(f235(x75211),x75212),f2(x75211)))+P105(f326(f326(f235(x75211),f2(x75211)),x75212))+~P105(f326(f326(f235(x75211),f2(x75211)),f326(f326(f290(x75211),x75212),x75213)))
% 225.14/225.11 [7607]~E(f326(f326(f102(f925(x76071,a913)),f326(f172(x76071),x76072)),f326(f172(x76071),x76073)),f188(f925(x76071,a913)))+~P105(f326(f137(x76071),x76073))+~P105(f326(f137(x76071),x76072))+P105(f326(f137(x76071),f326(f326(f134(x76071),x76072),x76073)))
% 225.14/225.11 [7608]~P108(x76081)+~P105(f326(f60(x76081),x76083))+E(f14(x76081,f238(x76081),f326(f326(f308(x76081),x76082),x76083)),x76082)+~E(f326(f326(f3(f925(x76081,a913)),x76083),f326(f326(f308(x76081),x76082),f188(f925(x76081,a913)))),f188(f925(x76081,a913)))
% 225.14/225.11 [7609]~P108(x76091)+~P105(f326(f60(x76091),x76093))+E(f15(x76091,f233(x76091),f326(f326(f308(x76091),x76092),x76093)),x76092)+~E(f326(f326(f3(f925(x76091,a913)),x76093),f326(f326(f308(x76091),x76092),f188(f925(x76091,a913)))),f188(f925(x76091,a913)))
% 225.14/225.11 [7623]~P84(x76231)+~P105(f326(f326(f234(x76231),x76232),x76233))+~P105(f326(f326(f234(x76231),f326(f78(x76231),x76232)),x76233))+P105(f326(f326(f234(x76231),f326(f75(x76231),x76232)),x76233))
% 225.14/225.11 [7624]~P113(x76241)+~P105(f326(f326(f235(x76241),x76242),x76243))+~P105(f326(f326(f235(x76241),f326(f78(x76241),x76242)),x76243))+P105(f326(f326(f235(x76241),f326(f75(x76241),x76242)),x76243))
% 225.14/225.11 [7691]~P133(x76911)+P105(f326(f326(f235(x76911),f2(x76911)),x76912))+~P105(f326(f326(f235(x76911),f2(x76911)),x76913))+~P105(f326(f326(f235(x76911),f2(x76911)),f326(f326(f80(x76911),x76913),x76912)))
% 225.14/225.11 [7692]~P133(x76921)+P105(f326(f326(f235(x76921),f2(x76921)),x76922))+~P105(f326(f326(f235(x76921),f2(x76921)),x76923))+~P105(f326(f326(f235(x76921),f2(x76921)),f326(f326(f80(x76921),x76922),x76923)))
% 225.14/225.11 [7992]E(x79921,x79922)+~P105(f326(f60(x79923),x79921))+~P105(f326(f326(f234(a917),f326(f34(x79923),x79921)),f326(f34(x79923),x79922)))+~P105(f326(f326(f234(f925(x79923,a913)),x79922),x79921))
% 225.14/225.11 [8137]~P105(f326(f326(f235(a1),x81371),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x81372))+~P105(f326(f326(f234(a1),x81372),x81373))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x81371),x81372)),f326(f326(f35(a1),x81371),x81373)))
% 225.14/225.11 [8147]~P105(f326(f326(f234(a1),f2(a1)),x81471))+~P105(f326(f326(f235(a1),f2(a1)),x81473))+~P105(f326(f326(f234(a1),x81473),x81472))+P105(f326(f326(f234(a1),f326(f326(f35(a1),x81471),x81472)),f326(f326(f35(a1),x81471),x81473)))
% 225.14/225.11 [8282]E(f326(x82821,f905(x82822,x82821,x82823)),x82822)+~P105(f326(f326(f234(a1),x82822),f326(x82821,x82823)))+P105(f326(f326(f235(a917),f906(x82822,x82821,x82823)),x82823))+~P105(f326(f326(f234(a1),f326(x82821,f2(a917))),x82822))
% 225.14/225.11 [8283]E(f326(x82831,f350(x82832,x82831,x82833)),x82832)+~P105(f326(f326(f234(a1),x82832),f326(x82831,x82833)))+P105(f326(f326(f235(a917),f351(x82832,x82831,x82833)),x82833))+~P105(f326(f326(f234(a1),f326(x82831,f2(a917))),x82832))
% 225.14/225.11 [8384]~P105(f326(f60(x83841),x83843))+~P105(f326(f326(f235(a917),f326(f34(x83841),x83842)),f326(f34(x83841),x83843)))+~P105(f326(f326(f234(f925(x83841,a913)),x83842),x83843))+P105(f326(f326(f235(f925(x83841,a913)),x83842),x83843))
% 225.14/225.11 [8411]E(f326(f326(f79(a1),f390(x84113,x84111,x84112)),f391(x84113,x84111,x84112)),x84111)+E(f326(f326(f3(a1),x84111),x84112),x84111)+~P105(f326(f326(f235(a1),f2(a1)),x84112))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x84111),f77(a1))),x84113))
% 225.14/225.11 [8412]E(f326(f326(f3(a1),f400(x84123,x84121,x84122)),f401(x84123,x84121,x84122)),x84121)+E(f326(f326(f79(a1),x84121),x84122),x84121)+~P105(f326(f326(f235(a1),f2(a1)),x84122))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x84121),f77(a1))),x84123))
% 225.14/225.11 [8463]~P105(f326(f326(f234(a917),x84633),x84631))+P105(f326(f326(f234(a917),x84631),x84632))+~P105(f326(f326(f234(a917),x84633),x84632))+~P105(f326(f326(f234(a917),f326(f326(f3(a917),x84631),x84633)),f326(f326(f3(a917),x84632),x84633)))
% 225.14/225.11 [8464]~P105(f326(f326(f234(a917),x84643),x84641))+P105(f326(f326(f235(a917),x84641),x84642))+~P105(f326(f326(f234(a917),x84643),x84642))+~P105(f326(f326(f235(a917),f326(f326(f3(a917),x84641),x84643)),f326(f326(f3(a917),x84642),x84643)))
% 225.14/225.11 [8483]~P108(x84832)+E(x84831,f113(x84832))+~P13(x84832,f326(f168(x84832),x84831))+E(f326(f142(x84832,x84832,f326(f9(x84832,x84832,x84832),f233(x84832)),x84833),f326(f168(x84832),x84831)),f326(f326(f233(x84832),f326(f326(f164(x84832),x84831),f2(a917))),x84833))
% 225.14/225.11 [8551]E(f326(f326(f3(a1),x85511),x85512),x85511)+~P105(f326(f326(f235(a1),f2(a1)),x85512))+P105(f326(f326(f328(a1),f390(x85513,x85511,x85512)),x85513))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x85511),f77(a1))),x85513))
% 225.14/225.11 [8552]E(f326(f326(f79(a1),x85521),x85522),x85521)+~P105(f326(f326(f235(a1),f2(a1)),x85522))+P105(f326(f326(f328(a1),f400(x85523,x85521,x85522)),x85523))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x85521),f77(a1))),x85523))
% 225.14/225.11 [8623]~P105(f326(f326(f234(a1),x86231),f326(x86232,x86233)))+P105(f326(f326(f235(a917),f906(x86231,x86232,x86233)),x86233))+P105(f326(f326(f234(a917),f905(x86231,x86232,x86233)),x86233))+~P105(f326(f326(f234(a1),f326(x86232,f2(a917))),x86231))
% 225.14/225.11 [8624]~P105(f326(f326(f234(a1),x86241),f326(x86242,x86243)))+P105(f326(f326(f235(a917),f351(x86241,x86242,x86243)),x86243))+P105(f326(f326(f234(a917),f350(x86241,x86242,x86243)),x86243))+~P105(f326(f326(f234(a1),f326(x86242,f2(a917))),x86241))
% 225.14/225.11 [8696]E(f326(f326(f3(a1),x86961),x86962),x86961)+~P105(f326(f326(f235(a1),f2(a1)),x86962))+P105(f326(f326(f328(a1),f391(x86963,x86961,x86962)),f302(a1,f77(a1),x86962)))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x86961),f77(a1))),x86963))
% 225.14/225.11 [8697]E(f326(f326(f79(a1),x86971),x86972),x86971)+~P105(f326(f326(f235(a1),f2(a1)),x86972))+P105(f326(f326(f328(a1),f401(x86973,x86971,x86972)),f302(a1,f77(a1),x86972)))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x86971),f77(a1))),x86973))
% 225.14/225.11 [8830]~P112(x88301)+~P105(f326(f326(f235(x88301),x88302),f77(x88301)))+~P105(f326(f326(f235(x88301),f2(x88301)),x88302))+P105(f326(f326(f235(x88301),f326(f326(f80(x88301),x88302),f326(f326(f243(x88301),x88302),x88303))),f326(f326(f243(x88301),x88302),x88303)))
% 225.14/225.11 [8923]~P105(f326(x89231,x89232))+P105(f326(x89231,f2(a917)))+~P105(f326(f326(f235(a917),x89232),x89233))+~P105(f326(x89231,f44(a917,f326(a112,f348(x89232,x89231,x89233)),x89233)))
% 225.14/225.11 [9075]E(f411(x90751,x90752,x90753),f2(a917))+P105(f326(f326(x90751,x90753),x90752))+P105(f326(f326(x90751,f411(x90751,x90752,x90753)),f44(a917,f404(x90751,x90752,x90753),f411(x90751,x90752,x90753))))+~P105(f326(f314(f924(a917,a917),a219),f326(f326(f251(a917,a917),x90753),x90752)))
% 225.14/225.11 [9111]~P25(x91111,x91111,x91112,x91113)+E(f326(f309(x91111,x91111,x91112),x91113),x91113)+~P105(f326(f60(x91111),x91113))+~P105(f326(f326(f234(f925(x91111,a913)),f326(f309(x91111,x91111,x91112),x91113)),x91113))
% 225.14/225.11 [9326]P105(f326(f326(x93261,x93262),x93263))+P105(f326(f326(f235(a1),f772(x93261,x93263,x93262)),f773(x93261,x93263,x93262)))+P105(f326(f326(x93261,f772(x93261,x93263,x93262)),f326(f326(f79(a1),f773(x93261,x93263,x93262)),f77(a1))))+~P105(f326(f314(f924(a1,a1),a133),f326(f326(f251(a1,a1),x93262),x93263)))
% 225.14/225.11 [9343]P105(f326(f326(x93431,x93432),x93433))+~P105(f326(f326(f235(a1),f481(x93431,x93433,x93432)),f2(a1)))+P105(f326(f326(x93431,f326(f78(a1),f473(x93431,x93433,x93432))),f326(f78(a1),f481(x93431,x93433,x93432))))+~P105(f326(f314(f924(a1,a1),a221),f326(f326(f251(a1,a1),x93432),x93433)))
% 225.14/225.11 [9532]P105(f326(f326(x95321,x95322),x95323))+P105(f326(f326(x95321,f326(f326(f79(a1),f677(x95321,x95323,x95322)),f77(a1))),f678(x95321,x95323,x95322)))+~P105(f326(f326(f234(a1),f677(x95321,x95323,x95322)),f678(x95321,x95323,x95322)))+~P105(f326(f314(f924(a1,a1),a182),f326(f326(f251(a1,a1),x95322),x95323)))
% 225.14/225.11 [9973]~P60(x99732)+~P60(x99731)+~P105(f326(f55(f924(x99731,x99732)),x99733))+P105(f326(f55(x99731),f326(f326(f10(f925(x99732,a913),a913,x99731),f55(x99732)),f326(f326(f10(f925(x99732,f924(x99731,x99732)),f925(x99732,a913),x99731),f326(f10(f924(x99731,x99732),a913,x99732),x99733)),f251(x99731,x99732)))))
% 225.14/225.11 [9974]~P60(x99742)+~P60(x99741)+~P105(f326(f56(f924(x99741,x99742)),x99743))+P105(f326(f56(x99741),f326(f326(f10(f925(x99742,a913),a913,x99741),f56(x99742)),f326(f326(f10(f925(x99742,f924(x99741,x99742)),f925(x99742,a913),x99741),f326(f10(f924(x99741,x99742),a913,x99742),x99743)),f251(x99741,x99742)))))
% 225.14/225.11 [10069]~P60(x100692)+~P60(x100691)+P105(f326(f55(f924(x100691,x100692)),x100693))+~P105(f326(f55(x100691),f326(f326(f10(f925(x100692,a913),a913,x100691),f55(x100692)),f326(f326(f10(f925(x100692,f924(x100691,x100692)),f925(x100692,a913),x100691),f326(f10(f924(x100691,x100692),a913,x100692),x100693)),f251(x100691,x100692)))))
% 225.14/225.11 [10070]~P60(x100702)+~P60(x100701)+P105(f326(f56(f924(x100701,x100702)),x100703))+~P105(f326(f56(x100701),f326(f326(f10(f925(x100702,a913),a913,x100701),f56(x100702)),f326(f326(f10(f925(x100702,f924(x100701,x100702)),f925(x100702,a913),x100701),f326(f10(f924(x100701,x100702),a913,x100702),x100703)),f251(x100701,x100702)))))
% 225.14/225.11 [10244]E(f326(x102441,f905(x102442,x102441,x102443)),x102442)+~P105(f326(f326(f234(a1),x102442),f326(x102441,x102443)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102441,f326(f326(f79(a917),f906(x102442,x102441,x102443)),f77(a917)))),f326(x102441,f906(x102442,x102441,x102443))))),f77(a1)))+~P105(f326(f326(f234(a1),f326(x102441,f2(a917))),x102442))
% 225.14/225.11 [10245]E(f326(x102451,f350(x102452,x102451,x102453)),x102452)+~P105(f326(f326(f234(a1),x102452),f326(x102451,x102453)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102451,f326(f326(f79(a917),f351(x102452,x102451,x102453)),f77(a917)))),f326(x102451,f351(x102452,x102451,x102453))))),f77(a1)))+~P105(f326(f326(f234(a1),f326(x102451,f2(a917))),x102452))
% 225.14/225.11 [10248]~P105(f326(f326(f234(a1),x102481),f326(x102482,x102483)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102482,f326(f326(f79(a917),f906(x102481,x102482,x102483)),f77(a917)))),f326(x102482,f906(x102481,x102482,x102483))))),f77(a1)))+P105(f326(f326(f234(a917),f905(x102481,x102482,x102483)),x102483))+~P105(f326(f326(f234(a1),f326(x102482,f2(a917))),x102481))
% 225.14/225.11 [10249]~P105(f326(f326(f234(a1),x102491),f326(x102492,x102493)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102492,f326(f326(f79(a917),f351(x102491,x102492,x102493)),f77(a917)))),f326(x102492,f351(x102491,x102492,x102493))))),f77(a1)))+P105(f326(f326(f234(a917),f350(x102491,x102492,x102493)),x102493))+~P105(f326(f326(f234(a1),f326(x102492,f2(a917))),x102491))
% 225.14/225.11 [10308]E(x103081,x103082)+~E(f326(f142(f918(x103083),f918(x103083),f134(x103083),f113(x103083)),x103081),f326(f142(f918(x103083),f918(x103083),f134(x103083),f113(x103083)),x103082))+~E(f326(f189(f918(f918(x103083))),x103081),f326(f189(f918(f918(x103083))),x103082))+~P105(f326(f326(f256(f918(x103083),f918(x103083),a913),f326(f326(f9(f918(x103083),f925(f918(x103083),a917),f925(f918(x103083),a913)),f326(f326(f10(f925(a917,a913),f925(f925(f918(x103083),a917),f925(f918(x103083),a913)),f918(x103083)),f10(a917,a913,f918(x103083))),f326(f326(f10(a917,f925(a917,a913),f918(x103083)),a323),f189(f918(x103083))))),f189(f918(x103083)))),f704(x103081,x103082,x103083)))
% 225.14/225.11 [10309]E(x103091,x103092)+~E(f326(f142(f918(x103093),f918(x103093),f134(x103093),f113(x103093)),x103091),f326(f142(f918(x103093),f918(x103093),f134(x103093),f113(x103093)),x103092))+~E(f326(f189(f918(f918(x103093))),x103091),f326(f189(f918(f918(x103093))),x103092))+~P105(f326(f326(f256(f918(x103093),f918(x103093),a913),f326(f326(f9(f918(x103093),f925(f918(x103093),a917),f925(f918(x103093),a913)),f326(f326(f10(f925(a917,a913),f925(f925(f918(x103093),a917),f925(f918(x103093),a913)),f918(x103093)),f10(a917,a913,f918(x103093))),f326(f326(f10(a917,f925(a917,a913),f918(x103093)),a323),f189(f918(x103093))))),f189(f918(x103093)))),f705(x103092,x103091,x103093)))
% 225.14/225.11 [7016]~E(f77(a917),f2(a917))+~P105(f326(f60(x70161),x70163))+~P105(f326(f60(x70161),x70162))+E(f326(f326(f79(a917),f326(f34(x70161),x70162)),f326(f34(x70161),x70163)),f326(f34(x70161),f326(f326(f101(f925(x70161,a913)),x70162),x70163)))
% 225.14/225.11 [7430]~P108(x74301)+~P105(f326(f60(x74301),x74302))+~P105(f326(f326(f328(x74301),x74303),x74302))+P105(f326(f326(f234(x74301),f326(f62(x74301,f238(x74301)),x74302)),x74303))
% 225.14/225.11 [7431]~P102(x74311)+~P105(f326(f60(x74311),x74312))+~P105(f326(f326(f328(x74311),x74313),x74312))+P105(f326(f326(f234(x74311),f326(f62(x74311,f102(x74311)),x74312)),x74313))
% 225.14/225.11 [7685]~P105(f326(f60(x76851),x76853))+~P105(f326(f60(x76851),x76852))+~E(f326(f326(f102(f925(x76851,a913)),x76852),x76853),f188(f925(x76851,a913)))+E(f326(f326(f79(a917),f326(f34(x76851),x76852)),f326(f34(x76851),x76853)),f326(f34(x76851),f326(f326(f101(f925(x76851,a913)),x76852),x76853)))
% 225.14/225.11 [8469]~P37(x84691,x84693)+~P37(x84691,x84692)+~E(f326(f326(f102(f925(x84691,a913)),f326(f263(x84691,x84691),x84692)),f326(f283(x84691,x84691),x84693)),f188(f925(x84691,a913)))+P37(x84691,f326(f326(f101(f925(f924(x84691,x84691),a913)),x84692),x84693))
% 225.14/225.11 [8563]E(x85631,f326(f326(f35(a917),x85632),x85633))+~P105(f326(f326(f235(a917),f2(a917)),x85633))+~P105(f326(f326(f235(a917),x85632),f326(f326(f80(a917),x85633),f326(a112,x85631))))+~P105(f326(f326(f234(a917),f326(f326(f80(a917),x85633),x85631)),x85632))
% 225.14/225.11 [8694]~P105(f326(f60(x86941),x86942))+~P105(f326(f60(x86941),x86943))+E(f326(f326(f79(a917),f326(f34(x86941),x86942)),f326(f34(x86941),x86943)),f326(f34(x86941),f326(f326(f101(f925(x86941,a913)),x86942),x86943)))+P105(f326(f326(f328(x86941),f450(x86943,x86942,x86941)),f326(f326(f102(f925(x86941,a913)),x86942),x86943)))
% 225.14/225.11 [9087]~P127(x90872)+~E(x90871,f2(x90872))+~E(x90873,f2(x90872))+~P105(f326(f326(f235(x90872),f2(x90872)),f326(f326(f79(x90872),f326(f326(f80(x90872),x90873),x90873)),f326(f326(f80(x90872),x90871),x90871))))
% 225.14/225.11 [9613]~P37(x96131,x96133)+~P37(x96131,x96132)+P37(x96131,f326(f326(f101(f925(f924(x96131,x96131),a913)),x96132),x96133))+~P105(f326(f326(f234(f925(f924(x96131,x96131),a913)),f326(f326(f288(x96131,x96131,x96131),x96132),x96133)),x96132))
% 225.14/225.11 [9748]~P105(f326(x97481,x97483))+~P105(f326(f60(x97482),x97483))+P105(f326(x97481,f188(f925(x97482,a913))))+~P105(f326(x97481,f326(f326(f3(f925(x97482,a913)),f382(x97481,x97483,x97482)),f326(f326(f308(x97482),f420(x97481,x97483,x97482)),f188(f925(x97482,a913))))))
% 225.14/225.11 [8870]~P105(f326(f326(f235(a1),f2(a1)),x88703))+P105(f326(f326(f234(a1),f2(a1)),x88701))+~P105(f326(f326(f235(a1),x88702),x88703))+~P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x88703),x88701)),x88702)))
% 225.14/225.11 [8894]~P108(x88941)+~P105(f326(f60(x88941),x88942))+E(f326(f326(f3(f925(x88941,a913)),x88942),f326(f326(f308(x88941),x88943),f188(f925(x88941,a913)))),f188(f925(x88941,a913)))+E(f326(f326(f233(x88941),x88943),f16(x88941,f326(f326(f3(f925(x88941,a913)),x88942),f326(f326(f308(x88941),x88943),f188(f925(x88941,a913)))))),f16(x88941,f326(f326(f308(x88941),x88943),x88942)))
% 225.14/225.11 [8895]~P108(x88951)+~P105(f326(f60(x88951),x88952))+E(f326(f326(f3(f925(x88951,a913)),x88952),f326(f326(f308(x88951),x88953),f188(f925(x88951,a913)))),f188(f925(x88951,a913)))+E(f326(f326(f238(x88951),x88953),f17(x88951,f326(f326(f3(f925(x88951,a913)),x88952),f326(f326(f308(x88951),x88953),f188(f925(x88951,a913)))))),f17(x88951,f326(f326(f308(x88951),x88953),x88952)))
% 225.14/225.11 [8896]~P99(x88961)+~P105(f326(f60(x88961),x88962))+E(f326(f326(f3(f925(x88961,a913)),x88962),f326(f326(f308(x88961),x88963),f188(f925(x88961,a913)))),f188(f925(x88961,a913)))+E(f326(f326(f101(x88961),x88963),f12(x88961,f326(f326(f3(f925(x88961,a913)),x88962),f326(f326(f308(x88961),x88963),f188(f925(x88961,a913)))))),f12(x88961,f326(f326(f308(x88961),x88963),x88962)))
% 225.14/225.11 [8897]~P99(x88971)+~P105(f326(f60(x88971),x88972))+E(f326(f326(f3(f925(x88971,a913)),x88972),f326(f326(f308(x88971),x88973),f188(f925(x88971,a913)))),f188(f925(x88971,a913)))+E(f326(f326(f102(x88971),x88973),f13(x88971,f326(f326(f3(f925(x88971,a913)),x88972),f326(f326(f308(x88971),x88973),f188(f925(x88971,a913)))))),f13(x88971,f326(f326(f308(x88971),x88973),x88972)))
% 225.14/225.11 [8969]~P108(x89691)+~P105(f326(f60(x89691),x89692))+E(f326(f326(f3(f925(x89691,a913)),x89692),f326(f326(f308(x89691),x89693),f188(f925(x89691,a913)))),f188(f925(x89691,a913)))+E(f326(f326(f238(x89691),x89693),f14(x89691,f238(x89691),f326(f326(f3(f925(x89691,a913)),x89692),f326(f326(f308(x89691),x89693),f188(f925(x89691,a913)))))),f14(x89691,f238(x89691),f326(f326(f308(x89691),x89693),x89692)))
% 225.14/225.11 [8970]~P108(x89701)+~P105(f326(f60(x89701),x89702))+E(f326(f326(f3(f925(x89701,a913)),x89702),f326(f326(f308(x89701),x89703),f188(f925(x89701,a913)))),f188(f925(x89701,a913)))+E(f326(f326(f233(x89701),x89703),f15(x89701,f233(x89701),f326(f326(f3(f925(x89701,a913)),x89702),f326(f326(f308(x89701),x89703),f188(f925(x89701,a913)))))),f15(x89701,f233(x89701),f326(f326(f308(x89701),x89703),x89702)))
% 225.14/225.11 [9551]E(x95511,x95512)+~E(f326(f142(f918(x95513),f918(x95513),f134(x95513),f113(x95513)),x95511),f326(f142(f918(x95513),f918(x95513),f134(x95513),f113(x95513)),x95512))+~E(f326(f189(f918(f918(x95513))),x95511),f326(f189(f918(f918(x95513))),x95512))+P105(f326(f326(f328(f924(f918(x95513),f918(x95513))),f704(x95511,x95512,x95513)),f326(f172(f924(f918(x95513),f918(x95513))),f326(f326(f181(f918(x95513),f918(x95513)),x95512),x95511))))
% 225.14/225.11 [9552]E(x95521,x95522)+~E(f326(f142(f918(x95523),f918(x95523),f134(x95523),f113(x95523)),x95521),f326(f142(f918(x95523),f918(x95523),f134(x95523),f113(x95523)),x95522))+~E(f326(f189(f918(f918(x95523))),x95521),f326(f189(f918(f918(x95523))),x95522))+P105(f326(f326(f328(f924(f918(x95523),f918(x95523))),f705(x95522,x95521,x95523)),f326(f172(f924(f918(x95523),f918(x95523))),f326(f326(f181(f918(x95523),f918(x95523)),x95521),x95522))))
% 225.14/225.11 [10417]~P76(x104172)+E(x104171,f188(f925(x104172,a913)))+~P105(f326(f60(x104172),x104171))+E(f16(x104172,f326(f261(x104172),f326(f326(f10(f925(x104172,a913),a913,x104172),f86(x104172)),f326(f326(f9(x104172,f925(x104172,a913),f925(x104172,a913)),f326(f326(f10(f925(x104172,f925(a913,a913)),f925(f925(x104172,a913),f925(x104172,a913)),x104172),f20(x104172,a913,a913)),f326(f326(f10(f925(x104172,a913),f925(x104172,f925(a913,a913)),x104172),f326(f10(a913,f925(a913,a913),x104172),a324)),f326(f326(f9(x104172,f925(x104172,x104172),f925(x104172,a913)),f326(f326(f10(f925(x104172,a913),f925(f925(x104172,x104172),f925(x104172,a913)),x104172),f10(x104172,a913,x104172)),a323)),f326(f79(x104172),x104173))))),f326(f326(f9(x104172,f925(x104172,a913),a913),f328(x104172)),x104171))))),f326(f326(f79(x104172),x104173),f16(x104172,x104171)))
% 225.14/225.11 [10418]~P76(x104182)+E(x104181,f188(f925(x104182,a913)))+~P105(f326(f60(x104182),x104181))+E(f17(x104182,f326(f261(x104182),f326(f326(f10(f925(x104182,a913),a913,x104182),f86(x104182)),f326(f326(f9(x104182,f925(x104182,a913),f925(x104182,a913)),f326(f326(f10(f925(x104182,f925(a913,a913)),f925(f925(x104182,a913),f925(x104182,a913)),x104182),f20(x104182,a913,a913)),f326(f326(f10(f925(x104182,a913),f925(x104182,f925(a913,a913)),x104182),f326(f10(a913,f925(a913,a913),x104182),a324)),f326(f326(f9(x104182,f925(x104182,x104182),f925(x104182,a913)),f326(f326(f10(f925(x104182,a913),f925(f925(x104182,x104182),f925(x104182,a913)),x104182),f10(x104182,a913,x104182)),a323)),f326(f79(x104182),x104183))))),f326(f326(f9(x104182,f925(x104182,a913),a913),f328(x104182)),x104181))))),f326(f326(f79(x104182),x104183),f17(x104182,x104181)))
% 225.14/225.11 [10419]~P100(x104192)+E(x104191,f188(f925(x104192,a913)))+~P105(f326(f60(x104192),x104191))+E(f13(x104192,f326(f261(x104192),f326(f326(f10(f925(x104192,a913),a913,x104192),f86(x104192)),f326(f326(f9(x104192,f925(x104192,a913),f925(x104192,a913)),f326(f326(f10(f925(x104192,f925(a913,a913)),f925(f925(x104192,a913),f925(x104192,a913)),x104192),f20(x104192,a913,a913)),f326(f326(f10(f925(x104192,a913),f925(x104192,f925(a913,a913)),x104192),f326(f10(a913,f925(a913,a913),x104192),a324)),f326(f326(f9(x104192,f925(x104192,x104192),f925(x104192,a913)),f326(f326(f10(f925(x104192,a913),f925(f925(x104192,x104192),f925(x104192,a913)),x104192),f10(x104192,a913,x104192)),a323)),f326(f101(x104192),x104193))))),f326(f326(f9(x104192,f925(x104192,a913),a913),f328(x104192)),x104191))))),f326(f326(f101(x104192),x104193),f13(x104192,x104191)))
% 225.14/225.11 [10420]~P100(x104202)+E(x104201,f188(f925(x104202,a913)))+~P105(f326(f60(x104202),x104201))+E(f12(x104202,f326(f261(x104202),f326(f326(f10(f925(x104202,a913),a913,x104202),f86(x104202)),f326(f326(f9(x104202,f925(x104202,a913),f925(x104202,a913)),f326(f326(f10(f925(x104202,f925(a913,a913)),f925(f925(x104202,a913),f925(x104202,a913)),x104202),f20(x104202,a913,a913)),f326(f326(f10(f925(x104202,a913),f925(x104202,f925(a913,a913)),x104202),f326(f10(a913,f925(a913,a913),x104202),a324)),f326(f326(f9(x104202,f925(x104202,x104202),f925(x104202,a913)),f326(f326(f10(f925(x104202,a913),f925(f925(x104202,x104202),f925(x104202,a913)),x104202),f10(x104202,a913,x104202)),a323)),f326(f102(x104202),x104203))))),f326(f326(f9(x104202,f925(x104202,a913),a913),f328(x104202)),x104201))))),f326(f326(f102(x104202),x104203),f12(x104202,x104201)))
% 225.14/225.11 [10421]~P108(x104212)+E(x104211,f188(f925(x104212,a913)))+~P105(f326(f60(x104212),x104211))+E(f15(x104212,f233(x104212),f326(f261(x104212),f326(f326(f10(f925(x104212,a913),a913,x104212),f86(x104212)),f326(f326(f9(x104212,f925(x104212,a913),f925(x104212,a913)),f326(f326(f10(f925(x104212,f925(a913,a913)),f925(f925(x104212,a913),f925(x104212,a913)),x104212),f20(x104212,a913,a913)),f326(f326(f10(f925(x104212,a913),f925(x104212,f925(a913,a913)),x104212),f326(f10(a913,f925(a913,a913),x104212),a324)),f326(f326(f9(x104212,f925(x104212,x104212),f925(x104212,a913)),f326(f326(f10(f925(x104212,a913),f925(f925(x104212,x104212),f925(x104212,a913)),x104212),f10(x104212,a913,x104212)),a323)),f326(f238(x104212),x104213))))),f326(f326(f9(x104212,f925(x104212,a913),a913),f328(x104212)),x104211))))),f326(f326(f238(x104212),x104213),f15(x104212,f233(x104212),x104211)))
% 225.14/225.11 [10422]~P108(x104222)+E(x104221,f188(f925(x104222,a913)))+~P105(f326(f60(x104222),x104221))+E(f14(x104222,f238(x104222),f326(f261(x104222),f326(f326(f10(f925(x104222,a913),a913,x104222),f86(x104222)),f326(f326(f9(x104222,f925(x104222,a913),f925(x104222,a913)),f326(f326(f10(f925(x104222,f925(a913,a913)),f925(f925(x104222,a913),f925(x104222,a913)),x104222),f20(x104222,a913,a913)),f326(f326(f10(f925(x104222,a913),f925(x104222,f925(a913,a913)),x104222),f326(f10(a913,f925(a913,a913),x104222),a324)),f326(f326(f9(x104222,f925(x104222,x104222),f925(x104222,a913)),f326(f326(f10(f925(x104222,a913),f925(f925(x104222,x104222),f925(x104222,a913)),x104222),f10(x104222,a913,x104222)),a323)),f326(f233(x104222),x104223))))),f326(f326(f9(x104222,f925(x104222,a913),a913),f328(x104222)),x104221))))),f326(f326(f233(x104222),x104223),f14(x104222,f238(x104222),x104221)))
% 225.14/225.11 [10134]~P113(x101341)+~E(x101343,f2(x101341))+~E(x101342,f2(x101341))+E(f326(f326(f79(x101341),f326(f326(f243(x101341),x101342),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101341),x101343),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x101341))
% 225.14/225.11 [10289]~P112(x102891)+~P105(f326(f326(f234(x102891),f2(x102891)),x102893))+P105(f326(f326(f234(x102891),x102892),x102893))+~P105(f326(f326(f234(x102891),f326(f326(f243(x102891),x102892),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102891),x102893),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 225.14/225.11 [10346]~P113(x103462)+~E(x103461,f2(x103462))+~E(x103463,f2(x103462))+~P105(f326(f326(f235(x103462),f2(x103462)),f326(f326(f79(x103462),f326(f326(f243(x103462),x103463),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103462),x103461),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 225.14/225.11 [6898]~P7(x68983,x68982)+~P105(f326(x68981,x68984))+~P105(f326(f326(f328(x68983),x68984),f269(x68983,x68982)))+P105(f326(x68981,f821(x68981,x68982,x68983)))
% 225.14/225.11 [8805]P26(x88051,x88052,f825(x88053,x88052,x88054,x88051),x88054,x88053)+~E(f326(f34(x88051),x88054),f326(f34(x88052),x88053))+~P105(f326(f60(x88052),x88053))+~P105(f326(f60(x88051),x88054))
% 225.14/225.11 [9514]E(x95141,x95142)+~E(f650(x95141,x95142,x95144,x95143),f652(x95141,x95142,x95144,x95143))+P105(f326(f326(f328(f924(f918(x95143),f918(x95143))),f326(f326(f251(f918(x95143),f918(x95143)),x95142),x95141)),f147(x95143,x95144)))+P105(f326(f326(f328(f924(f918(x95143),f918(x95143))),f326(f326(f251(f918(x95143),f918(x95143)),x95141),x95142)),f147(x95143,x95144)))
% 225.14/225.11 [5032]~P61(x50322)+~E(x50324,f2(x50322))+~E(x50321,f2(x50322))+E(x50321,f326(f326(f290(x50322),x50323),x50324))
% 225.14/225.11 [5033]~P61(x50331)+~E(x50333,f2(x50331))+~E(x50334,f2(x50331))+E(f326(f326(f290(x50331),x50332),x50333),x50334)
% 225.14/225.11 [5153]~P61(x51532)+E(x51531,f2(x51532))+~E(x51533,f2(x51532))+~E(x51531,f326(f326(f290(x51532),x51534),x51533))
% 225.14/225.11 [5154]~P61(x51542)+E(x51541,f2(x51542))+~E(x51543,f2(x51542))+~E(f326(f326(f290(x51542),x51544),x51543),x51541)
% 225.14/225.11 [5335]~P124(x53352)+E(x53351,f2(x53352))+~E(f326(f326(f290(x53352),x53353),x53351),x53354)+E(x53353,f326(f326(f80(x53352),x53354),x53351))
% 225.14/225.11 [5337]~P124(x53372)+E(x53371,f2(x53372))+~E(f326(f326(f80(x53372),x53373),x53371),x53374)+E(x53373,f326(f326(f290(x53372),x53374),x53371))
% 225.14/225.11 [5338]~P61(x53382)+E(x53381,f2(x53382))+~E(f326(f326(f290(x53382),x53383),x53381),x53384)+E(x53383,f326(f326(f80(x53382),x53384),x53381))
% 225.14/225.11 [5339]~P61(x53392)+E(x53391,f2(x53392))+~E(f326(f326(f80(x53392),x53393),x53391),x53394)+E(x53393,f326(f326(f290(x53392),x53394),x53391))
% 225.14/225.11 [5340]~P124(x53402)+E(x53401,f2(x53402))+~E(x53403,f326(f326(f290(x53402),x53404),x53401))+E(f326(f326(f80(x53402),x53403),x53401),x53404)
% 225.14/225.11 [5342]~P124(x53422)+E(x53421,f2(x53422))+~E(x53423,f326(f326(f80(x53422),x53424),x53421))+E(f326(f326(f290(x53422),x53423),x53421),x53424)
% 225.14/225.11 [5343]~P61(x53432)+E(x53431,f2(x53432))+~E(x53433,f326(f326(f290(x53432),x53434),x53431))+E(f326(f326(f80(x53432),x53433),x53431),x53434)
% 225.14/225.11 [5344]~P61(x53442)+E(x53441,f2(x53442))+~E(x53443,f326(f326(f80(x53442),x53444),x53441))+E(f326(f326(f290(x53442),x53443),x53441),x53444)
% 225.14/225.11 [5368]~P61(x53682)+~E(x53681,f2(x53682))+~E(f326(f326(f80(x53682),x53681),x53684),x53683)+E(x53681,f326(f326(f290(x53682),x53683),x53684))
% 225.14/225.11 [5369]~P61(x53691)+~E(x53694,f2(x53691))+~E(x53692,f326(f326(f80(x53691),x53694),x53693))+E(f326(f326(f290(x53691),x53692),x53693),x53694)
% 225.14/225.11 [5443]~E(x54433,x54434)+~E(x54432,x54433)+~P109(x54431)+E(f302(x54431,x54432,x54433),f326(f326(f308(x54431),x54434),f188(f925(x54431,a913))))
% 225.14/225.11 [5650]~E(f114(x56502,x56501),x56503)+~E(f144(x56502,x56501),x56504)+E(x56501,f113(x56502))+E(f326(f326(f134(x56502),x56503),f326(f326(f151(x56502),x56504),f113(x56502))),x56501)
% 225.14/225.11 [6288]~P112(x62883)+E(x62881,x62882)+~E(f326(f326(f243(x62883),x62884),x62881),f326(f326(f243(x62883),x62884),x62882))+~P105(f326(f326(f235(x62883),f77(x62883)),x62884))
% 225.14/225.11 [6289]E(x62891,x62892)+~E(f326(f326(f308(x62893),x62894),x62891),f326(f326(f308(x62893),x62894),x62892))+P105(f326(f326(f328(x62893),x62894),x62892))+P105(f326(f326(f328(x62893),x62894),x62891))
% 225.14/225.11 [6331]E(f326(x63311,x63312),f77(a917))+~E(f326(f326(f11(x63313,a917),x63311),x63314),f77(a917))+~P105(f326(f60(x63313),x63314))+~P105(f326(f326(f328(x63313),x63312),x63314))
% 225.14/225.11 [6332]E(f326(x63321,x63322),f2(a917))+~E(f326(f326(f8(x63323,a917),x63321),x63324),f2(a917))+~P105(f326(f60(x63323),x63324))+~P105(f326(f326(f328(x63323),x63322),x63324))
% 225.14/225.11 [6553]~P109(x65531)+~P105(f326(f326(f234(x65531),x65534),x65533))+P105(f326(f326(f234(x65531),x65532),x65533))+~P105(f326(f326(f234(x65531),x65532),x65534))
% 225.14/225.11 [6554]~P106(x65541)+~P105(f326(f326(f234(x65541),x65542),x65544))+P105(f326(f326(f234(x65541),x65542),x65543))+~P105(f326(f326(f234(x65541),x65544),x65543))
% 225.14/225.11 [6555]~P109(x65551)+~P105(f326(f326(f235(x65551),x65554),x65553))+P105(f326(f326(f235(x65551),x65552),x65553))+~P105(f326(f326(f234(x65551),x65552),x65554))
% 225.14/225.11 [6556]~P109(x65561)+~P105(f326(f326(f235(x65561),x65562),x65564))+P105(f326(f326(f235(x65561),x65562),x65563))+~P105(f326(f326(f234(x65561),x65564),x65563))
% 225.14/225.11 [6557]~P109(x65571)+~P105(f326(f326(f235(x65571),x65574),x65573))+P105(f326(f326(f235(x65571),x65572),x65573))+~P105(f326(f326(f235(x65571),x65572),x65574))
% 225.14/225.11 [6558]~P106(x65581)+~P105(f326(f326(f235(x65581),x65582),x65584))+P105(f326(f326(f235(x65581),x65582),x65583))+~P105(f326(f326(f234(x65581),x65584),x65583))
% 225.14/225.11 [6559]~P106(x65591)+~P105(f326(f326(f235(x65591),x65594),x65593))+P105(f326(f326(f235(x65591),x65592),x65593))+~P105(f326(f326(f234(x65591),x65592),x65594))
% 225.14/225.11 [6560]~P106(x65601)+~P105(f326(f326(f235(x65601),x65602),x65604))+P105(f326(f326(f235(x65601),x65602),x65603))+~P105(f326(f326(f235(x65601),x65604),x65603))
% 225.14/225.11 [6639]~P35(x66394,x66393,x66392)+E(x66391,f758(x66392,x66393,x66394))+~P105(f326(x66393,x66391))+~P105(f326(f326(f328(x66394),x66391),f326(f172(x66394),x66392)))
% 225.14/225.11 [6640]~P35(x66404,x66403,x66402)+E(x66401,f768(x66402,x66403,x66404))+~P105(f326(x66403,x66401))+~P105(f326(f326(f328(x66404),x66401),f326(f172(x66404),x66402)))
% 225.14/225.11 [6790]~P5(x67901)+~P105(f326(f326(f234(x67901),x67902),f37(x67901,x67904)))+P105(f326(f326(f234(x67901),x67902),x67903))+~P105(f326(f326(f328(x67901),x67903),x67904))
% 225.14/225.11 [6938]~P108(x69381)+~P13(x69381,f326(f326(f151(x69381),x69382),x69384))+~P105(f326(f326(f328(x69381),x69383),f326(f172(x69381),x69384)))+P105(f326(f326(f234(x69381),x69382),x69383))
% 225.14/225.11 [7026]~P5(x70261)+~P105(f326(f326(f234(x70261),f36(x70261,x70264)),x70263))+P105(f326(f326(f234(x70261),x70262),x70263))+~P105(f326(f326(f328(x70261),x70262),x70264))
% 225.14/225.11 [7433]~P108(x74331)+E(f326(f326(f101(f925(x74331,a913)),f326(f301(x74331,x74332),x74333)),f326(f301(x74331,x74333),x74334)),f326(f301(x74331,x74332),x74334))+~P105(f326(f326(f234(x74331),x74333),x74334))+~P105(f326(f326(f234(x74331),x74332),x74333))
% 225.14/225.11 [7480]P35(x74801,x74802,x74803)+~E(f769(x74803,x74802,x74801,x74804),x74804)+~P105(f326(x74802,x74804))+~P105(f326(f326(f328(x74801),x74804),f326(f172(x74801),x74803)))
% 225.14/225.11 [7481]P35(x74811,x74812,x74813)+~E(f776(x74813,x74812,x74811,x74814),x74814)+~P105(f326(x74812,x74814))+~P105(f326(f326(f328(x74811),x74814),f326(f172(x74811),x74813)))
% 225.14/225.11 [7556]~P108(x75561)+E(f326(f326(f101(f925(x75561,a913)),f326(f301(x75561,x75562),x75563)),f302(x75561,x75563,x75564)),f302(x75561,x75562,x75564))+~P105(f326(f326(f234(x75561),x75563),x75564))+~P105(f326(f326(f234(x75561),x75562),x75563))
% 225.14/225.11 [7618]~P108(x76181)+E(f326(f326(f101(f925(x76181,a913)),f305(x76181,x76182,x76183)),f326(f301(x76181,x76183),x76184)),f305(x76181,x76182,x76184))+~P105(f326(f326(f234(x76181),x76183),x76184))+~P105(f326(f326(f235(x76181),x76182),x76183))
% 225.14/225.11 [7635]~P108(x76351)+E(f326(f326(f101(f925(x76351,a913)),f302(x76351,x76352,x76353)),f305(x76351,x76353,x76354)),f326(f301(x76351,x76352),x76354))+~P105(f326(f326(f234(x76351),x76352),x76353))+~P105(f326(f326(f235(x76351),x76353),x76354))
% 225.14/225.11 [7666]~P108(x76661)+E(f326(f326(f101(f925(x76661,a913)),f305(x76661,x76662,x76663)),f302(x76661,x76663,x76664)),f304(x76661,x76662,x76664))+~P105(f326(f326(f234(x76661),x76663),x76664))+~P105(f326(f326(f235(x76661),x76662),x76663))
% 225.14/225.11 [7667]~P108(x76671)+E(f326(f326(f101(f925(x76671,a913)),f302(x76671,x76672,x76673)),f304(x76671,x76673,x76674)),f302(x76671,x76672,x76674))+~P105(f326(f326(f234(x76671),x76673),x76674))+~P105(f326(f326(f234(x76671),x76672),x76673))
% 225.14/225.11 [7668]~P108(x76681)+E(f326(f326(f101(f925(x76681,a913)),f304(x76681,x76682,x76683)),f305(x76681,x76683,x76684)),f305(x76681,x76682,x76684))+~P105(f326(f326(f234(x76681),x76682),x76683))+~P105(f326(f326(f235(x76681),x76683),x76684))
% 225.14/225.11 [7669]~P108(x76691)+E(f326(f326(f101(f925(x76691,a913)),f304(x76691,x76692,x76693)),f304(x76691,x76693,x76694)),f304(x76691,x76692,x76694))+~P105(f326(f326(f234(x76691),x76693),x76694))+~P105(f326(f326(f234(x76691),x76692),x76693))
% 225.14/225.11 [8453]P25(x84531,x84532,f492(x84533,x84532,x84534,x84531),x84534)+~P105(f326(f60(x84532),x84533))+~P105(f326(f60(x84531),x84534))+~P105(f326(f326(f234(a917),f326(f34(x84531),x84534)),f326(f34(x84532),x84533)))
% 225.14/225.11 [8474]P35(x84741,x84742,x84743)+~P105(f326(x84742,x84744))+P105(f326(x84742,f769(x84743,x84742,x84741,x84744)))+~P105(f326(f326(f328(x84741),x84744),f326(f172(x84741),x84743)))
% 225.14/225.11 [8475]P35(x84751,x84752,x84753)+~P105(f326(x84752,x84754))+P105(f326(x84752,f776(x84753,x84752,x84751,x84754)))+~P105(f326(f326(f328(x84751),x84754),f326(f172(x84751),x84753)))
% 225.14/225.11 [8529]~P69(x85291)+~E(f326(x85293,f777(x85293,x85294,x85292,x85291)),f77(x85291))+E(f326(f326(f326(f64(x85291,x85292,f80(x85291)),x85293),f77(x85291)),x85294),f77(x85291))+~P105(f326(f60(x85292),x85294))
% 225.14/225.11 [8794]~P112(x87941)+~P105(f326(f326(f234(x87941),f2(x87941)),x87943))+P105(f326(f326(f234(x87941),x87942),x87943))+~P105(f326(f326(f234(x87941),f326(f326(f243(x87941),x87942),f326(a112,x87944))),f326(f326(f243(x87941),x87943),f326(a112,x87944))))
% 225.14/225.11 [9112]P35(x91121,x91122,x91123)+~P105(f326(x91122,x91124))+~P105(f326(f326(f328(x91121),x91124),f326(f172(x91121),x91123)))+P105(f326(f326(f328(x91121),f769(x91123,x91122,x91121,x91124)),f326(f172(x91121),x91123)))
% 225.14/225.11 [9113]P35(x91131,x91132,x91133)+~P105(f326(x91132,x91134))+~P105(f326(f326(f328(x91131),x91134),f326(f172(x91131),x91133)))+P105(f326(f326(f328(x91131),f776(x91133,x91132,x91131,x91134)),f326(f172(x91131),x91133)))
% 225.14/225.11 [9189]~P69(x91891)+E(f326(f326(f326(f64(x91891,x91892,f80(x91891)),x91893),f77(x91891)),x91894),f77(x91891))+~P105(f326(f60(x91892),x91894))+P105(f326(f326(f328(x91892),f777(x91893,x91894,x91892,x91891)),x91894))
% 225.14/225.11 [9686]~P105(f326(f326(f286(a917),x96861),x96863))+~P105(f326(f326(f286(a917),x96861),x96862))+~P105(f326(f326(f286(a917),x96864),x96863))+~P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x96861,x96863)),f289(a917,f286(a917),x96862,x96864)))
% 225.14/225.11 [9691]~P105(f326(f326(f234(a1),x96914),f2(a1)))+P105(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96911),f44(a1,x96912,x96913))),x96914)),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x96913))+~P105(f326(f326(f235(a1),x96911),x96914))
% 225.14/225.11 [10127]~P105(f326(f60(x101271),x101272))+~P105(f326(f326(f328(x101271),x101274),x101272))+~P105(f326(f326(f328(x101271),x101273),x101272))+P105(f326(f326(f235(a917),f326(f34(x101271),f326(f326(f3(f925(x101271,a913)),f326(f326(f3(f925(x101271,a913)),x101272),f326(f326(f308(x101271),x101273),f188(f925(x101271,a913))))),f326(f326(f308(x101271),x101274),f188(f925(x101271,a913)))))),f326(f34(x101271),x101272)))
% 225.14/225.11 [7084]~P146(x70843)+~P123(x70843)+P105(f326(x70841,f858(x70842,x70841,x70843)))+~P105(f326(x70841,f326(f326(f80(x70843),x70842),x70844)))
% 225.14/225.11 [7141]~P108(x71411)+~P105(f326(f326(f234(x71411),x71412),x71414))+~P105(f326(f326(f234(x71411),x71412),x71413))+P105(f326(f326(f234(x71411),x71412),f326(f326(f238(x71411),x71413),x71414)))
% 225.14/225.11 [7144]~P102(x71441)+~P105(f326(f326(f234(x71441),x71442),x71444))+~P105(f326(f326(f234(x71441),x71442),x71443))+P105(f326(f326(f234(x71441),x71442),f326(f326(f102(x71441),x71443),x71444)))
% 225.14/225.11 [7145]~P108(x71451)+~P105(f326(f326(f235(x71451),x71452),x71454))+~P105(f326(f326(f235(x71451),x71452),x71453))+P105(f326(f326(f235(x71451),x71452),f326(f326(f238(x71451),x71453),x71454)))
% 225.14/225.11 [7146]~P120(x71461)+~P105(f326(f326(f286(x71461),x71462),x71464))+~P105(f326(f326(f286(x71461),x71462),x71463))+P105(f326(f326(f286(x71461),x71462),f326(f326(f79(x71461),x71463),x71464)))
% 225.14/225.11 [7166]~P62(x71662)+E(x71661,f2(x71662))+E(f326(f326(f290(x71662),f326(f326(f243(x71662),x71661),x71663)),f326(f326(f243(x71662),x71661),x71664)),f326(f326(f243(x71662),x71661),f326(f326(f3(a917),x71663),x71664)))+~P105(f326(f326(f234(a917),x71664),x71663))
% 225.14/225.11 [7210]~P108(x72101)+~P13(x72101,f326(f326(f151(x72101),x72103),x72104))+P13(x72101,f326(f326(f151(x72101),x72102),f326(f326(f151(x72101),x72103),x72104)))+~P105(f326(f326(f234(x72101),x72102),x72103))
% 225.14/225.11 [7247]~P86(x72471)+~P105(f326(f326(f234(x72471),f2(x72471)),x72474))+~P105(f326(f326(f234(x72471),x72472),x72473))+P105(f326(f326(f234(x72471),x72472),f326(f326(f79(x72471),x72473),x72474)))
% 225.14/225.11 [7248]~P86(x72481)+~P105(f326(f326(f234(x72481),f2(x72481)),x72483))+~P105(f326(f326(f234(x72481),x72482),x72484))+P105(f326(f326(f234(x72481),x72482),f326(f326(f79(x72481),x72483),x72484)))
% 225.14/225.11 [7249]~P112(x72491)+~P105(f326(f326(f235(x72491),f2(x72491)),x72493))+~P105(f326(f326(f235(x72491),x72492),x72494))+P105(f326(f326(f235(x72491),x72492),f326(f326(f79(x72491),x72493),x72494)))
% 225.14/225.11 [7250]~P86(x72501)+~P105(f326(f326(f234(x72501),x72502),x72504))+~P105(f326(f326(f235(x72501),f2(x72501)),x72503))+P105(f326(f326(f235(x72501),x72502),f326(f326(f79(x72501),x72503),x72504)))
% 225.14/225.11 [7251]~P86(x72511)+~P105(f326(f326(f234(x72511),f2(x72511)),x72513))+~P105(f326(f326(f235(x72511),x72512),x72514))+P105(f326(f326(f235(x72511),x72512),f326(f326(f79(x72511),x72513),x72514)))
% 225.14/225.11 [7292]~P108(x72921)+P105(f326(f326(f234(x72921),x72922),x72923))+P105(f326(f326(f234(x72921),x72922),x72924))+~P105(f326(f326(f234(x72921),x72922),f326(f326(f233(x72921),x72924),x72923)))
% 225.14/225.11 [7293]~P108(x72931)+P105(f326(f326(f235(x72931),x72932),x72933))+P105(f326(f326(f235(x72931),x72932),x72934))+~P105(f326(f326(f235(x72931),x72932),f326(f326(f233(x72931),x72934),x72933)))
% 225.14/225.11 [7590]~P109(x75902)+~P60(x75901)+~P105(f326(f326(f235(f925(x75901,x75902)),x75903),x75904))+P105(f326(f326(f234(f925(x75901,x75902)),x75903),x75904))
% 225.14/225.11 [7954]~P64(x79541)+~P105(f326(f326(f235(x79541),x79544),f2(x79541)))+~P105(f326(f326(f234(x79541),x79543),f326(f326(f290(x79541),x79542),x79544)))+P105(f326(f326(f234(x79541),x79542),f326(f326(f80(x79541),x79543),x79544)))
% 225.14/225.11 [7955]~P64(x79551)+~P105(f326(f326(f235(x79551),x79554),f2(x79551)))+~P105(f326(f326(f234(x79551),x79553),f326(f326(f80(x79551),x79552),x79554)))+P105(f326(f326(f234(x79551),x79552),f326(f326(f290(x79551),x79553),x79554)))
% 225.14/225.11 [7956]~P64(x79561)+~P105(f326(f326(f235(x79561),x79564),f2(x79561)))+~P105(f326(f326(f235(x79561),x79563),f326(f326(f290(x79561),x79562),x79564)))+P105(f326(f326(f235(x79561),x79562),f326(f326(f80(x79561),x79563),x79564)))
% 225.14/225.11 [7957]~P64(x79571)+~P105(f326(f326(f235(x79571),x79574),f2(x79571)))+~P105(f326(f326(f235(x79571),x79573),f326(f326(f80(x79571),x79572),x79574)))+P105(f326(f326(f235(x79571),x79572),f326(f326(f290(x79571),x79573),x79574)))
% 225.14/225.11 [8062]~P111(x80621)+~P105(f326(f326(f234(x80621),x80622),f2(x80621)))+~P105(f326(f326(f234(x80621),x80624),x80623))+P105(f326(f326(f234(x80621),f326(f326(f80(x80621),x80622),x80623)),f326(f326(f80(x80621),x80622),x80624)))
% 225.14/225.11 [8063]~P127(x80631)+~P105(f326(f326(f235(x80631),x80632),f2(x80631)))+~P105(f326(f326(f234(x80631),x80634),x80633))+P105(f326(f326(f234(x80631),f326(f326(f80(x80631),x80632),x80633)),f326(f326(f80(x80631),x80632),x80634)))
% 225.14/225.11 [8064]~P111(x80641)+~P105(f326(f326(f234(x80641),x80643),f2(x80641)))+~P105(f326(f326(f234(x80641),x80644),x80642))+P105(f326(f326(f234(x80641),f326(f326(f80(x80641),x80642),x80643)),f326(f326(f80(x80641),x80644),x80643)))
% 225.14/225.11 [8065]~P63(x80651)+~P105(f326(f326(f234(x80651),x80653),f2(x80651)))+~P105(f326(f326(f234(x80651),x80654),x80652))+P105(f326(f326(f234(x80651),f326(f326(f290(x80651),x80652),x80653)),f326(f326(f290(x80651),x80654),x80653)))
% 225.14/225.11 [8069]~P127(x80691)+~P105(f326(f326(f235(x80691),x80693),f2(x80691)))+~P105(f326(f326(f235(x80691),x80694),x80692))+P105(f326(f326(f235(x80691),f326(f326(f80(x80691),x80692),x80693)),f326(f326(f80(x80691),x80694),x80693)))
% 225.14/225.11 [8070]~P127(x80701)+~P105(f326(f326(f235(x80701),x80702),f2(x80701)))+~P105(f326(f326(f235(x80701),x80704),x80703))+P105(f326(f326(f235(x80701),f326(f326(f80(x80701),x80702),x80703)),f326(f326(f80(x80701),x80702),x80704)))
% 225.14/225.11 [8071]~P64(x80711)+~P105(f326(f326(f235(x80711),x80713),f2(x80711)))+~P105(f326(f326(f235(x80711),x80714),x80712))+P105(f326(f326(f235(x80711),f326(f326(f290(x80711),x80712),x80713)),f326(f326(f290(x80711),x80714),x80713)))
% 225.14/225.11 [8072]~P112(x80721)+~P105(f326(f326(f235(x80721),f77(x80721)),x80722))+~P105(f326(f326(f234(a917),x80723),x80724))+P105(f326(f326(f234(x80721),f326(f326(f243(x80721),x80722),x80723)),f326(f326(f243(x80721),x80722),x80724)))
% 225.14/225.11 [8073]~P112(x80731)+~P105(f326(f326(f234(x80731),f77(x80731)),x80732))+~P105(f326(f326(f234(a917),x80733),x80734))+P105(f326(f326(f234(x80731),f326(f326(f243(x80731),x80732),x80733)),f326(f326(f243(x80731),x80732),x80734)))
% 225.14/225.11 [8075]~P112(x80751)+~P105(f326(f326(f235(x80751),f77(x80751)),x80752))+~P105(f326(f326(f235(a917),x80753),x80754))+P105(f326(f326(f235(x80751),f326(f326(f243(x80751),x80752),x80753)),f326(f326(f243(x80751),x80752),x80754)))
% 225.14/225.11 [8102]P105(f326(f326(f235(a917),f2(a917)),f326(x81021,x81022)))+~P105(f326(f60(x81023),x81024))+~P105(f326(f326(f328(x81023),x81022),x81024))+~P105(f326(f326(f235(a917),f2(a917)),f326(f326(f11(x81023,a917),x81021),x81024)))
% 225.14/225.11 [8111]~P127(x81111)+~P105(f326(f326(f235(x81111),f2(x81111)),x81112))+~P105(f326(f326(f234(x81111),x81113),x81114))+P105(f326(f326(f234(x81111),f326(f326(f80(x81111),x81112),x81113)),f326(f326(f80(x81111),x81112),x81114)))
% 225.14/225.11 [8112]~P137(x81121)+~P105(f326(f326(f234(x81121),x81123),x81124))+~P105(f326(f326(f234(x81121),f2(x81121)),x81122))+P105(f326(f326(f234(x81121),f326(f326(f80(x81121),x81122),x81123)),f326(f326(f80(x81121),x81122),x81124)))
% 225.14/225.11 [8113]~P136(x81131)+~P105(f326(f326(f234(x81131),x81133),x81134))+~P105(f326(f326(f234(x81131),f2(x81131)),x81132))+P105(f326(f326(f234(x81131),f326(f326(f80(x81131),x81132),x81133)),f326(f326(f80(x81131),x81132),x81134)))
% 225.14/225.11 [8114]~P137(x81141)+~P105(f326(f326(f234(x81141),x81142),x81144))+~P105(f326(f326(f234(x81141),f2(x81141)),x81143))+P105(f326(f326(f234(x81141),f326(f326(f80(x81141),x81142),x81143)),f326(f326(f80(x81141),x81144),x81143)))
% 225.14/225.11 [8115]~P63(x81151)+~P105(f326(f326(f234(x81151),x81152),x81154))+~P105(f326(f326(f234(x81151),f2(x81151)),x81153))+P105(f326(f326(f234(x81151),f326(f326(f290(x81151),x81152),x81153)),f326(f326(f290(x81151),x81154),x81153)))
% 225.14/225.11 [8116]~P112(x81161)+~P105(f326(f326(f234(x81161),x81162),x81164))+~P105(f326(f326(f234(x81161),f2(x81161)),x81162))+P105(f326(f326(f234(x81161),f326(f326(f243(x81161),x81162),x81163)),f326(f326(f243(x81161),x81164),x81163)))
% 225.14/225.11 [8118]~P121(x81181)+~P105(f326(f326(f235(x81181),x81183),x81184))+~P105(f326(f326(f235(x81181),f2(x81181)),x81182))+P105(f326(f326(f235(x81181),f326(f326(f80(x81181),x81182),x81183)),f326(f326(f80(x81181),x81182),x81184)))
% 225.14/225.11 [8119]~P133(x81191)+~P105(f326(f326(f235(x81191),x81193),x81194))+~P105(f326(f326(f235(x81191),f2(x81191)),x81192))+P105(f326(f326(f235(x81191),f326(f326(f80(x81191),x81192),x81193)),f326(f326(f80(x81191),x81192),x81194)))
% 225.14/225.11 [8120]~P127(x81201)+~P105(f326(f326(f235(x81201),x81202),x81204))+~P105(f326(f326(f235(x81201),f2(x81201)),x81203))+P105(f326(f326(f235(x81201),f326(f326(f80(x81201),x81202),x81203)),f326(f326(f80(x81201),x81204),x81203)))
% 225.14/225.11 [8121]~P133(x81211)+~P105(f326(f326(f235(x81211),x81212),x81214))+~P105(f326(f326(f235(x81211),f2(x81211)),x81213))+P105(f326(f326(f235(x81211),f326(f326(f80(x81211),x81212),x81213)),f326(f326(f80(x81211),x81214),x81213)))
% 225.14/225.11 [8122]~P127(x81221)+~P105(f326(f326(f235(x81221),x81223),x81224))+~P105(f326(f326(f235(x81221),f2(x81221)),x81222))+P105(f326(f326(f235(x81221),f326(f326(f80(x81221),x81222),x81223)),f326(f326(f80(x81221),x81222),x81224)))
% 225.14/225.11 [8123]~P64(x81231)+~P105(f326(f326(f235(x81231),x81232),x81234))+~P105(f326(f326(f235(x81231),f2(x81231)),x81233))+P105(f326(f326(f235(x81231),f326(f326(f290(x81231),x81232),x81233)),f326(f326(f290(x81231),x81234),x81233)))
% 225.14/225.11 [8166]~P107(x81662)+P105(f326(f326(f235(f925(x81661,x81662)),x81664),x81663))+~P105(f326(f326(f234(f925(x81661,x81662)),x81664),x81663))+P105(f326(f326(f234(f925(x81661,x81662)),x81663),x81664))
% 225.14/225.11 [8206]P105(f326(f326(f328(x82061),x82062),x82063))+P105(f326(f326(f328(x82061),x82062),x82064))+~P105(f326(f326(f234(f925(x82061,a913)),x82064),x82063))+P105(f326(f326(f235(f925(x82061,a913)),x82064),f326(f326(f308(x82061),x82062),x82063)))
% 225.14/225.11 [8316]~P122(x83162)+E(x83161,f2(x83162))+P105(f326(f326(f286(x83162),x83163),x83164))+~P105(f326(f326(f286(x83162),f326(f326(f80(x83162),x83163),x83161)),f326(f326(f80(x83162),x83164),x83161)))
% 225.14/225.11 [8317]~P122(x83172)+E(x83171,f2(x83172))+P105(f326(f326(f286(x83172),x83173),x83174))+~P105(f326(f326(f286(x83172),f326(f326(f80(x83172),x83171),x83173)),f326(f326(f80(x83172),x83171),x83174)))
% 225.14/225.11 [8366]P105(f326(f326(f328(x83661),x83662),x83663))+P105(f326(f326(f328(x83661),x83662),x83664))+~P105(f326(f326(f235(f925(x83661,a913)),x83664),f326(f326(f308(x83661),x83662),x83663)))+P105(f326(f326(f234(f925(x83661,a913)),x83664),x83663))
% 225.14/225.11 [8431]~P127(x84311)+P105(f326(f326(f235(x84311),x84313),x84312))+P105(f326(f326(f235(x84311),x84312),x84313))+~P105(f326(f326(f235(x84311),f326(f326(f80(x84311),x84314),x84312)),f326(f326(f80(x84311),x84314),x84313)))
% 225.14/225.11 [8432]~P127(x84321)+P105(f326(f326(f235(x84321),x84323),x84322))+P105(f326(f326(f235(x84321),x84322),x84323))+~P105(f326(f326(f235(x84321),f326(f326(f80(x84321),x84322),x84324)),f326(f326(f80(x84321),x84323),x84324)))
% 225.14/225.11 [8443]~P127(x84431)+P105(f326(f326(f235(x84431),x84434),f2(x84431)))+P105(f326(f326(f235(x84431),x84432),x84433))+~P105(f326(f326(f235(x84431),f326(f326(f80(x84431),x84432),x84434)),f326(f326(f80(x84431),x84433),x84434)))
% 225.14/225.11 [8444]~P127(x84441)+P105(f326(f326(f235(x84441),x84444),f2(x84441)))+P105(f326(f326(f235(x84441),x84442),x84443))+~P105(f326(f326(f235(x84441),f326(f326(f80(x84441),x84444),x84442)),f326(f326(f80(x84441),x84444),x84443)))
% 225.14/225.11 [8447]~P127(x84471)+P105(f326(f326(f235(x84471),x84472),x84473))+P105(f326(f326(f235(x84471),f2(x84471)),x84474))+~P105(f326(f326(f235(x84471),f326(f326(f80(x84471),x84474),x84473)),f326(f326(f80(x84471),x84474),x84472)))
% 225.14/225.11 [8448]~P127(x84481)+P105(f326(f326(f235(x84481),x84482),x84483))+P105(f326(f326(f235(x84481),f2(x84481)),x84484))+~P105(f326(f326(f235(x84481),f326(f326(f80(x84481),x84483),x84484)),f326(f326(f80(x84481),x84482),x84484)))
% 225.14/225.11 [8461]~P127(x84611)+P105(f326(f326(f235(x84611),x84612),f2(x84611)))+P105(f326(f326(f235(x84611),f2(x84611)),x84612))+~P105(f326(f326(f235(x84611),f326(f326(f80(x84611),x84613),x84612)),f326(f326(f80(x84611),x84614),x84612)))
% 225.14/225.11 [8462]~P127(x84621)+P105(f326(f326(f235(x84621),x84622),f2(x84621)))+P105(f326(f326(f235(x84621),f2(x84621)),x84622))+~P105(f326(f326(f235(x84621),f326(f326(f80(x84621),x84622),x84623)),f326(f326(f80(x84621),x84622),x84624)))
% 225.14/225.11 [8491]~P127(x84911)+~P105(f326(f326(f235(x84911),x84914),f2(x84911)))+P105(f326(f326(f234(x84911),x84912),x84913))+~P105(f326(f326(f234(x84911),f326(f326(f80(x84911),x84914),x84913)),f326(f326(f80(x84911),x84914),x84912)))
% 225.14/225.11 [8492]~P127(x84921)+~P105(f326(f326(f235(x84921),x84924),f2(x84921)))+P105(f326(f326(f235(x84921),x84922),x84923))+~P105(f326(f326(f235(x84921),f326(f326(f80(x84921),x84924),x84923)),f326(f326(f80(x84921),x84924),x84922)))
% 225.14/225.11 [8503]~P112(x85033)+~P105(f326(f326(f235(x85033),f77(x85033)),x85034))+P105(f326(f326(f234(a917),x85031),x85032))+~P105(f326(f326(f234(x85033),f326(f326(f243(x85033),x85034),x85031)),f326(f326(f243(x85033),x85034),x85032)))
% 225.14/225.11 [8505]~P112(x85053)+~P105(f326(f326(f235(x85053),f77(x85053)),x85054))+P105(f326(f326(f235(a917),x85051),x85052))+~P105(f326(f326(f235(x85053),f326(f326(f243(x85053),x85054),x85051)),f326(f326(f243(x85053),x85054),x85052)))
% 225.14/225.11 [8515]~P127(x85151)+P105(f326(f326(f234(x85151),x85152),x85153))+~P105(f326(f326(f235(x85151),f2(x85151)),x85154))+~P105(f326(f326(f234(x85151),f326(f326(f80(x85151),x85154),x85152)),f326(f326(f80(x85151),x85154),x85153)))
% 225.14/225.11 [8516]~P133(x85161)+P105(f326(f326(f234(x85161),x85162),x85163))+~P105(f326(f326(f235(x85161),f2(x85161)),x85164))+~P105(f326(f326(f234(x85161),f326(f326(f80(x85161),x85164),x85162)),f326(f326(f80(x85161),x85164),x85163)))
% 225.14/225.11 [8517]~P133(x85171)+P105(f326(f326(f234(x85171),x85172),x85173))+~P105(f326(f326(f235(x85171),f2(x85171)),x85174))+~P105(f326(f326(f234(x85171),f326(f326(f80(x85171),x85172),x85174)),f326(f326(f80(x85171),x85173),x85174)))
% 225.14/225.11 [8518]~P127(x85181)+P105(f326(f326(f235(x85181),x85182),x85183))+~P105(f326(f326(f235(x85181),f2(x85181)),x85184))+~P105(f326(f326(f235(x85181),f326(f326(f80(x85181),x85184),x85182)),f326(f326(f80(x85181),x85184),x85183)))
% 225.14/225.11 [8519]~P133(x85191)+P105(f326(f326(f235(x85191),x85192),x85193))+~P105(f326(f326(f234(x85191),f2(x85191)),x85194))+~P105(f326(f326(f235(x85191),f326(f326(f80(x85191),x85194),x85192)),f326(f326(f80(x85191),x85194),x85193)))
% 225.14/225.11 [8520]~P130(x85201)+P105(f326(f326(f235(x85201),x85202),x85203))+~P105(f326(f326(f234(x85201),f2(x85201)),x85204))+~P105(f326(f326(f235(x85201),f326(f326(f80(x85201),x85204),x85202)),f326(f326(f80(x85201),x85204),x85203)))
% 225.14/225.11 [8521]~P112(x85211)+~P105(f326(f326(f234(x85211),f2(x85211)),x85213))+P105(f326(f326(f235(x85211),x85212),x85213))+~P105(f326(f326(f235(x85211),f326(f326(f243(x85211),x85212),x85214)),f326(f326(f243(x85211),x85213),x85214)))
% 225.14/225.11 [8522]~P133(x85221)+P105(f326(f326(f235(x85221),x85222),x85223))+~P105(f326(f326(f234(x85221),f2(x85221)),x85224))+~P105(f326(f326(f235(x85221),f326(f326(f80(x85221),x85222),x85224)),f326(f326(f80(x85221),x85223),x85224)))
% 225.14/225.11 [8523]~P130(x85231)+P105(f326(f326(f235(x85231),x85232),x85233))+~P105(f326(f326(f234(x85231),f2(x85231)),x85234))+~P105(f326(f326(f235(x85231),f326(f326(f80(x85231),x85232),x85234)),f326(f326(f80(x85231),x85233),x85234)))
% 225.14/225.11 [8566]P105(f326(f326(f328(x85661),x85662),x85663))+~P105(f326(f326(f234(f925(x85661,a913)),x85663),x85664))+~P105(f326(f326(f235(f925(x85661,a913)),x85663),x85664))+P105(f326(f326(f235(f925(x85661,a913)),x85663),f326(f326(f308(x85661),x85662),x85664)))
% 225.14/225.11 [8598]~P146(x85981)+~P123(x85981)+P105(f326(f326(f286(x85981),x85982),f326(f326(f79(x85981),f858(x85982,x85983,x85981)),f2(x85981))))+~P105(f326(x85983,f326(f326(f80(x85981),x85982),x85984)))
% 225.14/225.11 [8944]E(f326(f326(f3(a1),f405(x89441,x89442,x89443,x89444)),f406(x89441,x89442,x89443,x89444)),x89444)+~P105(f326(f326(f235(a1),f2(a1)),x89443))+~P105(f326(f326(f234(a1),x89441),x89444))+P105(f326(f326(f234(a1),x89441),f326(f326(f79(a1),x89444),x89443)))
% 225.14/225.11 [8945]E(f326(f326(f3(a1),f416(x89451,x89452,x89453,x89454)),f417(x89451,x89452,x89453,x89454)),x89454)+~P105(f326(f326(f235(a1),f2(a1)),x89453))+~P105(f326(f326(f235(a1),x89451),x89454))+P105(f326(f326(f235(a1),x89451),f326(f326(f79(a1),x89454),x89453)))
% 225.14/225.11 [9095]~E(f326(f326(f164(x90951),x90953),f674(x90954,x90953,x90951,x90952)),f326(f326(f164(x90951),x90954),f674(x90954,x90953,x90951,x90952)))+E(f326(f326(f175(x90951),x90952),x90953),f326(f326(f175(x90951),x90952),x90954))+~P105(f326(f326(f234(a917),x90952),f326(f189(f918(x90951)),x90953)))+~P105(f326(f326(f234(a917),x90952),f326(f189(f918(x90951)),x90954)))
% 225.14/225.11 [9157]~P105(f326(f326(f235(a1),f2(a1)),x91573))+~P105(f326(f326(f234(a1),x91571),x91574))+P105(f326(f326(f328(a1),f405(x91571,x91572,x91573,x91574)),x91572))+P105(f326(f326(f234(a1),x91571),f326(f326(f79(a1),x91574),x91573)))
% 225.14/225.11 [9158]~P105(f326(f326(f235(a1),f2(a1)),x91583))+~P105(f326(f326(f235(a1),x91581),x91584))+P105(f326(f326(f328(a1),f416(x91581,x91582,x91583,x91584)),x91582))+P105(f326(f326(f235(a1),x91581),f326(f326(f79(a1),x91584),x91583)))
% 225.14/225.11 [9198]~P108(x91981)+~P105(f326(f60(x91981),x91983))+~P105(f326(f326(f328(x91981),x91984),x91983))+P105(f326(f326(f234(x91981),f326(f326(f63(x91981,x91981,f238(x91981)),x91982),x91983)),f326(f326(f238(x91981),x91984),x91982)))
% 225.14/225.11 [9199]~P102(x91991)+~P105(f326(f60(x91991),x91993))+~P105(f326(f326(f328(x91991),x91994),x91993))+P105(f326(f326(f234(x91991),f326(f326(f63(x91991,x91991,f102(x91991)),x91992),x91993)),f326(f326(f102(x91991),x91994),x91992)))
% 225.14/225.11 [9243]E(f326(f326(f175(x92431),x92432),x92433),f326(f326(f175(x92431),x92432),x92434))+P105(f326(f326(f235(a917),f674(x92433,x92434,x92431,x92432)),x92432))+~P105(f326(f326(f234(a917),x92432),f326(f189(f918(x92431)),x92433)))+~P105(f326(f326(f234(a917),x92432),f326(f189(f918(x92431)),x92434)))
% 225.14/225.11 [9248]~P105(f326(f326(f235(a1),f2(a1)),x92483))+~P105(f326(f326(f234(a1),x92481),x92482))+P105(f326(f326(f328(a1),f406(x92481,x92484,x92483,x92482)),f302(a1,f77(a1),x92483)))+P105(f326(f326(f234(a1),x92481),f326(f326(f79(a1),x92482),x92483)))
% 225.14/225.11 [9249]~P105(f326(f326(f235(a1),f2(a1)),x92493))+~P105(f326(f326(f235(a1),x92491),x92492))+P105(f326(f326(f328(a1),f417(x92491,x92494,x92493,x92492)),f302(a1,f77(a1),x92493)))+P105(f326(f326(f235(a1),x92491),f326(f326(f79(a1),x92492),x92493)))
% 225.14/225.11 [9572]~P108(x95721)+~P105(f326(f60(x95721),x95724))+P105(f326(f326(f328(x95721),f891(x95722,x95723,x95724,x95721)),x95724))+P105(f326(f326(f234(x95721),f326(f326(f63(x95721,x95721,f233(x95721)),x95722),x95724)),f326(f326(f233(x95721),x95723),x95722)))
% 225.14/225.11 [9573]~P98(x95731)+~P105(f326(f60(x95731),x95734))+P105(f326(f326(f328(x95731),f608(x95732,x95733,x95734,x95731)),x95734))+P105(f326(f326(f234(x95731),f326(f326(f63(x95731,x95731,f101(x95731)),x95732),x95734)),f326(f326(f101(x95731),x95733),x95732)))
% 225.14/225.11 [9707]~P108(x97071)+~P105(f326(f60(x97071),x97073))+~P105(f326(f326(f234(x97071),f891(x97072,x97074,x97073,x97071)),x97074))+P105(f326(f326(f234(x97071),f326(f326(f63(x97071,x97071,f233(x97071)),x97072),x97073)),f326(f326(f233(x97071),x97074),x97072)))
% 225.14/225.11 [9708]~P98(x97081)+~P105(f326(f60(x97081),x97083))+~P105(f326(f326(f234(x97081),f608(x97082,x97084,x97083,x97081)),x97084))+P105(f326(f326(f234(x97081),f326(f326(f63(x97081,x97081,f101(x97081)),x97082),x97083)),f326(f326(f101(x97081),x97084),x97082)))
% 225.14/225.11 [9710]~P105(f326(f326(f234(a1),f2(a1)),x97104))+~P105(f326(f326(f235(a1),f2(a1)),x97103))+~P105(f326(f326(f235(a1),x97104),x97101))+P105(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x97101),f44(a1,x97102,x97103))),x97104)),f326(f326(f80(a1),x97101),x97103)))
% 225.14/225.11 [10098]E(x100981,x100982)+P105(f326(f326(f328(f924(f918(x100983),f918(x100983))),f326(f326(f251(f918(x100983),f918(x100983)),x100982),x100981)),f147(x100983,x100984)))+P105(f326(f326(f328(f924(f918(x100983),f918(x100983))),f326(f326(f251(f918(x100983),f918(x100983)),x100981),x100982)),f147(x100983,x100984)))+~P105(f326(f326(f328(f924(x100983,x100983)),f326(f326(f251(x100983,x100983),f650(x100981,x100982,x100984,x100983)),f652(x100981,x100982,x100984,x100983))),x100984))
% 225.14/225.11 [10099]E(x100991,x100992)+P105(f326(f326(f328(f924(f918(x100993),f918(x100993))),f326(f326(f251(f918(x100993),f918(x100993)),x100992),x100991)),f147(x100993,x100994)))+P105(f326(f326(f328(f924(f918(x100993),f918(x100993))),f326(f326(f251(f918(x100993),f918(x100993)),x100991),x100992)),f147(x100993,x100994)))+~P105(f326(f326(f328(f924(x100993,x100993)),f326(f326(f251(x100993,x100993),f652(x100991,x100992,x100994,x100993)),f650(x100991,x100992,x100994,x100993))),x100994))
% 225.14/225.11 [7657]~P108(x76571)+~P105(f326(f326(f234(x76571),x76573),x76574))+~P105(f326(f326(f234(x76571),x76572),x76574))+P105(f326(f326(f234(x76571),f326(f326(f233(x76571),x76572),x76573)),x76574))
% 225.14/225.11 [7660]~P98(x76601)+~P105(f326(f326(f234(x76601),x76603),x76604))+~P105(f326(f326(f234(x76601),x76602),x76604))+P105(f326(f326(f234(x76601),f326(f326(f101(x76601),x76602),x76603)),x76604))
% 225.14/225.11 [7661]~P108(x76611)+~P105(f326(f326(f235(x76611),x76613),x76614))+~P105(f326(f326(f235(x76611),x76612),x76614))+P105(f326(f326(f235(x76611),f326(f326(f233(x76611),x76612),x76613)),x76614))
% 225.14/225.11 [7897]~P3(x78971)+E(f326(f326(f79(x78971),f326(f326(f35(x78971),x78972),x78973)),f326(f326(f35(x78971),x78974),x78973)),f326(f326(f35(x78971),f326(f326(f79(x78971),x78972),x78974)),x78973))+~P105(f326(f326(f286(x78971),x78973),x78974))+~P105(f326(f326(f286(x78971),x78973),x78972))
% 225.14/225.11 [7979]~E(x79791,x79793)+E(f139(a917,f326(f301(a917,x79791),x79792)),f326(f326(f151(a917),x79793),x79794))+~E(f139(a917,f326(f301(a917,f326(f326(f79(a917),x79791),f77(a917))),x79792)),x79794)+~P105(f326(f326(f235(a917),x79791),x79792))
% 225.14/225.11 [7987]~P108(x79871)+P105(f326(f326(f234(x79871),x79872),x79873))+P105(f326(f326(f234(x79871),x79874),x79873))+~P105(f326(f326(f234(x79871),f326(f326(f238(x79871),x79874),x79872)),x79873))
% 225.14/225.11 [7988]~P108(x79881)+P105(f326(f326(f235(x79881),x79882),x79883))+P105(f326(f326(f235(x79881),x79884),x79883))+~P105(f326(f326(f235(x79881),f326(f326(f238(x79881),x79884),x79882)),x79883))
% 225.14/225.11 [8264]~P63(x82641)+~P105(f326(f326(f235(x82641),f2(x82641)),x82643))+~P105(f326(f326(f234(x82641),x82642),f326(f326(f290(x82641),x82644),x82643)))+P105(f326(f326(f234(x82641),f326(f326(f80(x82641),x82642),x82643)),x82644))
% 225.14/225.11 [8265]~P64(x82651)+~P105(f326(f326(f235(x82651),f2(x82651)),x82653))+~P105(f326(f326(f234(x82651),x82652),f326(f326(f290(x82651),x82654),x82653)))+P105(f326(f326(f234(x82651),f326(f326(f80(x82651),x82652),x82653)),x82654))
% 225.14/225.11 [8266]~P63(x82661)+~P105(f326(f326(f235(x82661),f2(x82661)),x82663))+~P105(f326(f326(f234(x82661),x82662),f326(f326(f80(x82661),x82664),x82663)))+P105(f326(f326(f234(x82661),f326(f326(f290(x82661),x82662),x82663)),x82664))
% 225.14/225.11 [8268]~P64(x82681)+~P105(f326(f326(f235(x82681),f2(x82681)),x82683))+~P105(f326(f326(f234(x82681),x82682),f326(f326(f80(x82681),x82684),x82683)))+P105(f326(f326(f234(x82681),f326(f326(f290(x82681),x82682),x82683)),x82684))
% 225.14/225.11 [8269]~P63(x82691)+~P105(f326(f326(f235(x82691),f2(x82691)),x82693))+~P105(f326(f326(f235(x82691),x82692),f326(f326(f290(x82691),x82694),x82693)))+P105(f326(f326(f235(x82691),f326(f326(f80(x82691),x82692),x82693)),x82694))
% 225.14/225.11 [8270]~P64(x82701)+~P105(f326(f326(f235(x82701),f2(x82701)),x82703))+~P105(f326(f326(f235(x82701),x82702),f326(f326(f290(x82701),x82704),x82703)))+P105(f326(f326(f235(x82701),f326(f326(f80(x82701),x82702),x82703)),x82704))
% 225.14/225.11 [8271]~P63(x82711)+~P105(f326(f326(f235(x82711),f2(x82711)),x82713))+~P105(f326(f326(f235(x82711),x82712),f326(f326(f80(x82711),x82714),x82713)))+P105(f326(f326(f235(x82711),f326(f326(f290(x82711),x82712),x82713)),x82714))
% 225.14/225.11 [8273]~P64(x82731)+~P105(f326(f326(f235(x82731),f2(x82731)),x82733))+~P105(f326(f326(f235(x82731),x82732),f326(f326(f80(x82731),x82734),x82733)))+P105(f326(f326(f235(x82731),f326(f326(f290(x82731),x82732),x82733)),x82734))
% 225.14/225.11 [8401]~P63(x84011)+~P105(f326(f326(f235(x84011),f2(x84011)),x84014))+P105(f326(f326(f234(x84011),x84012),f326(f326(f80(x84011),x84013),x84014)))+~P105(f326(f326(f234(x84011),f326(f326(f290(x84011),x84012),x84014)),x84013))
% 225.14/225.11 [8402]~P63(x84021)+~P105(f326(f326(f235(x84021),f2(x84021)),x84024))+P105(f326(f326(f234(x84021),x84022),f326(f326(f290(x84021),x84023),x84024)))+~P105(f326(f326(f234(x84021),f326(f326(f80(x84021),x84022),x84024)),x84023))
% 225.14/225.11 [8404]~P64(x84041)+~P105(f326(f326(f235(x84041),f2(x84041)),x84044))+P105(f326(f326(f234(x84041),x84042),f326(f326(f80(x84041),x84043),x84044)))+~P105(f326(f326(f234(x84041),f326(f326(f290(x84041),x84042),x84044)),x84043))
% 225.14/225.11 [8405]~P64(x84051)+~P105(f326(f326(f235(x84051),f2(x84051)),x84054))+P105(f326(f326(f234(x84051),x84052),f326(f326(f290(x84051),x84053),x84054)))+~P105(f326(f326(f234(x84051),f326(f326(f80(x84051),x84052),x84054)),x84053))
% 225.14/225.11 [8406]~P63(x84061)+~P105(f326(f326(f235(x84061),f2(x84061)),x84064))+P105(f326(f326(f235(x84061),x84062),f326(f326(f80(x84061),x84063),x84064)))+~P105(f326(f326(f235(x84061),f326(f326(f290(x84061),x84062),x84064)),x84063))
% 225.14/225.11 [8407]~P63(x84071)+~P105(f326(f326(f235(x84071),f2(x84071)),x84074))+P105(f326(f326(f235(x84071),x84072),f326(f326(f290(x84071),x84073),x84074)))+~P105(f326(f326(f235(x84071),f326(f326(f80(x84071),x84072),x84074)),x84073))
% 225.14/225.11 [8409]~P64(x84091)+~P105(f326(f326(f235(x84091),f2(x84091)),x84094))+P105(f326(f326(f235(x84091),x84092),f326(f326(f80(x84091),x84093),x84094)))+~P105(f326(f326(f235(x84091),f326(f326(f290(x84091),x84092),x84094)),x84093))
% 225.14/225.11 [8410]~P64(x84101)+~P105(f326(f326(f235(x84101),f2(x84101)),x84104))+P105(f326(f326(f235(x84101),x84102),f326(f326(f290(x84101),x84103),x84104)))+~P105(f326(f326(f235(x84101),f326(f326(f80(x84101),x84102),x84104)),x84103))
% 225.14/225.11 [8569]~P64(x85691)+~P105(f326(f326(f235(x85691),x85693),f2(x85691)))+~P105(f326(f326(f234(x85691),f326(f326(f290(x85691),x85694),x85693)),x85692))+P105(f326(f326(f234(x85691),f326(f326(f80(x85691),x85692),x85693)),x85694))
% 225.14/225.11 [8570]~P64(x85701)+~P105(f326(f326(f235(x85701),x85703),f2(x85701)))+~P105(f326(f326(f234(x85701),f326(f326(f80(x85701),x85704),x85703)),x85702))+P105(f326(f326(f234(x85701),f326(f326(f290(x85701),x85702),x85703)),x85704))
% 225.14/225.11 [8571]~P64(x85711)+~P105(f326(f326(f235(x85711),x85713),f2(x85711)))+~P105(f326(f326(f235(x85711),f326(f326(f290(x85711),x85714),x85713)),x85712))+P105(f326(f326(f235(x85711),f326(f326(f80(x85711),x85712),x85713)),x85714))
% 225.14/225.11 [8572]~P64(x85721)+~P105(f326(f326(f235(x85721),x85723),f2(x85721)))+~P105(f326(f326(f235(x85721),f326(f326(f80(x85721),x85724),x85723)),x85722))+P105(f326(f326(f235(x85721),f326(f326(f290(x85721),x85722),x85723)),x85724))
% 225.14/225.11 [8584]~P105(f326(x85841,x85844))+~P105(f326(f326(f235(a917),x85842),f326(f326(f80(a917),x85843),f326(a112,x85844))))+P105(f326(x85841,f326(f326(f35(a917),x85842),x85843)))+~P105(f326(f326(f234(a917),f326(f326(f80(a917),x85843),x85844)),x85842))
% 225.14/225.11 [8792]~P108(x87921)+~P105(f326(f60(x87921),x87924))+~P105(f326(f326(f328(x87921),x87922),x87924))+P105(f326(f326(f234(x87921),f326(f326(f233(x87921),x87922),x87923)),f326(f326(f63(x87921,x87921,f233(x87921)),x87923),x87924)))
% 225.14/225.11 [8793]~P98(x87931)+~P105(f326(f60(x87931),x87934))+~P105(f326(f326(f328(x87931),x87932),x87934))+P105(f326(f326(f234(x87931),f326(f326(f101(x87931),x87932),x87933)),f326(f326(f63(x87931,x87931,f101(x87931)),x87933),x87934)))
% 225.14/225.11 [8946]~P105(f326(f60(x89461),x89462))+E(f326(f34(x89461),f326(f326(f3(f925(x89461,a913)),x89462),f326(f326(f308(x89461),x89463),x89464))),f326(f326(f3(a917),f326(f34(x89461),f326(f326(f3(f925(x89461,a913)),x89462),x89464))),f77(a917)))+P105(f326(f326(f328(x89461),x89463),x89464))+~P105(f326(f326(f328(x89461),x89463),x89462))
% 225.14/225.11 [9023]E(f326(f326(f79(a1),f407(x90231,x90232,x90233,x90234)),f408(x90231,x90232,x90233,x90234)),x90234)+~P105(f326(f326(f235(a1),f2(a1)),x90233))+~P105(f326(f326(f234(a1),x90234),x90231))+P105(f326(f326(f234(a1),f326(f326(f3(a1),x90234),x90233)),x90231))
% 225.14/225.11 [9024]E(f326(f326(f79(a1),f418(x90241,x90242,x90243,x90244)),f419(x90241,x90242,x90243,x90244)),x90244)+~P105(f326(f326(f235(a1),f2(a1)),x90243))+~P105(f326(f326(f235(a1),x90244),x90241))+P105(f326(f326(f235(a1),f326(f326(f3(a1),x90244),x90243)),x90241))
% 225.14/225.11 [9228]~P105(f326(f326(f235(a1),f2(a1)),x92283))+~P105(f326(f326(f234(a1),x92284),x92281))+P105(f326(f326(f328(a1),f407(x92281,x92282,x92283,x92284)),x92282))+P105(f326(f326(f234(a1),f326(f326(f3(a1),x92284),x92283)),x92281))
% 225.14/225.11 [9229]~P105(f326(f326(f235(a1),f2(a1)),x92293))+~P105(f326(f326(f235(a1),x92294),x92291))+P105(f326(f326(f328(a1),f418(x92291,x92292,x92293,x92294)),x92292))+P105(f326(f326(f235(a1),f326(f326(f3(a1),x92294),x92293)),x92291))
% 225.14/225.11 [9315]~P105(f326(f326(f235(a1),f2(a1)),x93152))+~P105(f326(f326(f234(a1),x93151),x93153))+P105(f326(f326(f328(a1),f408(x93153,x93154,x93152,x93151)),f302(a1,f77(a1),x93152)))+P105(f326(f326(f234(a1),f326(f326(f3(a1),x93151),x93152)),x93153))
% 225.14/225.11 [9316]~P105(f326(f326(f235(a1),f2(a1)),x93162))+~P105(f326(f326(f235(a1),x93161),x93163))+P105(f326(f326(f328(a1),f419(x93163,x93164,x93162,x93161)),f302(a1,f77(a1),x93162)))+P105(f326(f326(f235(a1),f326(f326(f3(a1),x93161),x93162)),x93163))
% 225.14/225.11 [9334]~P105(f326(f326(f234(a1),f2(a1)),x93344))+~P105(f326(f326(f235(a1),f2(a1)),x93343))+~P105(f326(f326(f235(a1),x93344),x93341))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93341),f44(a1,x93342,x93343))),x93344)))
% 225.14/225.11 [9363]E(x93631,x93632)+~P39(x93633,x93634)+~P105(f326(f326(f328(f924(x93633,x93633)),f326(f326(f251(x93633,x93633),x93632),x93631)),x93634))+~P105(f326(f326(f328(f924(x93633,x93633)),f326(f326(f251(x93633,x93633),x93631),x93632)),x93634))
% 225.14/225.11 [9395]~P108(x93951)+~P105(f326(f60(x93951),x93954))+~P105(f326(f326(f234(x93951),x93952),f890(x93953,x93952,x93954,x93951)))+P105(f326(f326(f234(x93951),f326(f326(f238(x93951),x93952),x93953)),f326(f326(f63(x93951,x93951,f238(x93951)),x93953),x93954)))
% 225.14/225.11 [9396]~P102(x93961)+~P105(f326(f60(x93961),x93964))+~P105(f326(f326(f234(x93961),x93962),f476(x93963,x93962,x93964,x93961)))+P105(f326(f326(f234(x93961),f326(f326(f102(x93961),x93962),x93963)),f326(f326(f63(x93961,x93961,f102(x93961)),x93963),x93964)))
% 225.14/225.11 [9413]~P105(f326(f326(f234(a1),x94134),f2(a1)))+~P105(f326(f326(f235(a1),f2(a1)),x94132))+~P105(f326(f326(f235(a1),x94131),x94134))+P105(f326(f326(f235(a1),f326(f326(f80(a1),x94131),x94132)),f326(f326(f79(a1),f326(f326(f80(a1),x94131),f44(a1,x94133,x94132))),x94134)))
% 225.14/225.11 [9438]P105(f326(f60(x94381),x94382))+~P105(f326(f60(x94381),x94383))+~P105(f326(f326(f328(f925(x94381,a913)),x94382),f326(f326(f59(x94381),x94383),x94384)))+~P105(f326(f326(f234(f925(f924(x94381,x94381),a913)),x94384),f326(f326(f253(x94381,x94381),x94383),f326(f18(f925(x94381,a913),x94381),x94383))))
% 225.14/225.11 [9462]~P108(x94621)+~P105(f326(f60(x94621),x94624))+P105(f326(f326(f328(x94621),f890(x94622,x94623,x94624,x94621)),x94624))+P105(f326(f326(f234(x94621),f326(f326(f238(x94621),x94623),x94622)),f326(f326(f63(x94621,x94621,f238(x94621)),x94622),x94624)))
% 225.14/225.11 [9463]~P102(x94631)+~P105(f326(f60(x94631),x94634))+P105(f326(f326(f328(x94631),f476(x94632,x94633,x94634,x94631)),x94634))+P105(f326(f326(f234(x94631),f326(f326(f102(x94631),x94633),x94632)),f326(f326(f63(x94631,x94631,f102(x94631)),x94632),x94634)))
% 225.14/225.11 [9874]~P105(f326(f60(x98742),x98744))+~P105(f326(f60(x98741),x98743))+~P105(f326(f326(f234(a917),f326(f34(x98742),x98744)),f326(f34(x98741),x98743)))+P105(f326(f326(f234(f925(x98741,a913)),f326(f309(x98742,x98741,f492(x98743,x98741,x98744,x98742)),x98744)),x98743))
% 225.14/225.11 [9513]~P105(f326(f326(f328(x95131),x95132),x95134))+P105(f326(f326(f328(x95131),x95132),x95133))+~P105(f326(f326(f235(f925(x95131,a913)),x95134),f326(f326(f308(x95131),x95132),x95133)))+P105(f326(f326(f235(f925(x95131,a913)),f326(f326(f3(f925(x95131,a913)),x95134),f326(f326(f308(x95131),x95132),f188(f925(x95131,a913))))),x95133))
% 225.14/225.11 [9688]~P105(f326(f326(f328(x96881),x96882),x96884))+P105(f326(f326(f328(x96881),x96882),x96883))+P105(f326(f326(f235(f925(x96881,a913)),x96884),f326(f326(f308(x96881),x96882),x96883)))+~P105(f326(f326(f235(f925(x96881,a913)),f326(f326(f3(f925(x96881,a913)),x96884),f326(f326(f308(x96881),x96882),f188(f925(x96881,a913))))),x96883))
% 225.14/225.11 [9713]P105(f326(f326(f328(x97131),x97132),x97133))+~P105(f326(f326(f234(f925(x97131,a913)),x97134),x97133))+P105(f326(f326(f235(f925(x97131,a913)),x97134),f326(f326(f308(x97131),x97132),x97133)))+~P105(f326(f326(f235(f925(x97131,a913)),f326(f326(f3(f925(x97131,a913)),x97134),f326(f326(f308(x97131),x97132),f188(f925(x97131,a913))))),x97133))
% 225.14/225.11 [9718]~P105(f326(f326(f328(x97181),x97183),x97182))+~P105(f326(f326(f235(f925(x97181,a913)),x97182),x97184))+P105(f326(f326(f235(f925(x97181,a913)),x97182),f326(f326(f308(x97181),x97183),x97184)))+~P105(f326(f326(f235(f925(x97181,a913)),f326(f326(f3(f925(x97181,a913)),x97182),f326(f326(f308(x97181),x97183),f188(f925(x97181,a913))))),x97184))
% 225.14/225.11 [9734]~P105(f326(f326(f234(f925(x97341,a913)),x97342),x97344))+~P105(f326(f326(f235(f925(x97341,a913)),x97342),x97344))+P105(f326(f326(f235(f925(x97341,a913)),x97342),f326(f326(f308(x97341),x97343),x97344)))+~P105(f326(f326(f235(f925(x97341,a913)),f326(f326(f3(f925(x97341,a913)),x97342),f326(f326(f308(x97341),x97343),f188(f925(x97341,a913))))),x97344))
% 225.14/225.11 [9779]~P109(x97792)+~P60(x97791)+~P105(f326(f326(f234(f925(x97791,x97792)),x97793),x97794))+P105(f326(f56(x97791),f326(f326(f20(x97791,x97792,a913),f326(f326(f10(x97792,f925(x97792,a913),x97791),f234(x97792)),x97793)),x97794)))
% 225.14/225.11 [9923]~P109(x99232)+~P60(x99231)+P105(f326(f326(f234(f925(x99231,x99232)),x99233),x99234))+~P105(f326(f56(x99231),f326(f326(f20(x99231,x99232,a913),f326(f326(f10(x99232,f925(x99232,a913),x99231),f234(x99232)),x99233)),x99234)))
% 225.14/225.11 [10089]E(f326(f326(f164(x100891),f326(f326(f164(f918(x100891)),f179(x100891,x100892)),x100893)),x100894),f326(f326(f164(x100891),f326(f326(f164(f918(x100891)),x100892),x100894)),x100893))+~P105(f326(f326(f235(a917),x100893),f326(f189(f918(f918(x100891))),f179(x100891,x100892))))+~P13(a917,f326(f168(a917),f326(f326(f154(f918(x100891),a917),f189(f918(x100891))),x100892)))+~P105(f326(f326(f235(a917),x100894),f326(f189(f918(f918(x100891))),f326(f136(f918(x100891),f326(f326(f10(a917,a913,f918(x100891)),f326(f235(a917),x100893)),f189(f918(x100891)))),x100892))))
% 225.14/225.11 [10111]~P105(f326(f326(f328(f924(a917,a917)),x101114),x101111))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x101114),x101112)),a70))+~P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101111),x101113)),a71))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101111),f326(f326(f308(f924(a917,a917)),x101112),x101113))),a71))
% 225.14/225.11 [10112]~P105(f326(f326(f328(f924(a917,a917)),x101124),x101121))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x101124),x101122)),a32))+~P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101121),x101123)),a68))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101121),f326(f326(f308(f924(a917,a917)),x101122),x101123))),a68))
% 225.14/225.11 [10000]~P109(x100002)+~P60(x100001)+~P105(f326(f326(f235(f925(x100001,x100002)),x100003),x100004))+P105(f326(f55(x100001),f326(f326(f10(a913,a913,x100001),a321),f326(f326(f20(x100001,x100002,a913),f326(f326(f10(x100002,f925(x100002,a913),x100001),a323),x100003)),x100004))))
% 225.14/225.11 [10123]~P105(f326(f326(f328(f924(a917,a917)),x101234),x101233))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x101231),x101234)),a32))+~P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101232),x101233)),a33))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f326(f326(f308(f924(a917,a917)),x101231),x101232)),x101233)),a33))
% 225.14/225.11 [10124]~P105(f326(f326(f328(f924(a917,a917)),x101244),x101243))+~P105(f326(f326(f328(f924(f924(a917,a917),f924(a917,a917))),f326(f326(f251(f924(a917,a917),f924(a917,a917)),x101241),x101244)),a70))+~P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),x101242),x101243)),a69))+P105(f326(f326(f328(f924(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913))),f326(f326(f251(f925(f924(a917,a917),a913),f925(f924(a917,a917),a913)),f326(f326(f308(f924(a917,a917)),x101241),x101242)),x101243)),a69))
% 225.14/225.11 [6239]~P7(x62394,x62391)+~P105(f326(f326(x62391,x62392),x62395))+P105(f326(f326(x62391,x62392),x62393))+~P105(f326(f326(x62391,x62395),x62393))
% 225.14/225.11 [6240]~P49(x62404,x62401)+~P105(f326(f326(x62401,x62402),x62405))+P105(f326(f326(x62401,x62402),x62403))+~P105(f326(f326(x62401,x62405),x62403))
% 225.14/225.11 [6241]~P15(x62414,x62411)+~P105(f326(f326(x62411,x62412),x62415))+P105(f326(f326(x62411,x62412),x62413))+~P105(f326(f326(x62411,x62415),x62413))
% 225.14/225.11 [8931]~P7(x89314,x89313)+~P105(f326(x89311,x89315))+P105(f326(x89312,f833(x89312,x89311,x89313,x89314)))+P105(f326(x89311,f832(x89312,x89311,x89313,x89314)))
% 225.14/225.11 [9165]~P7(x91654,x91653)+~P105(f326(x91652,x91655))+~P105(f326(x91651,f832(x91651,x91652,x91653,x91654)))+P105(f326(x91651,f833(x91651,x91652,x91653,x91654)))
% 225.14/225.11 [9347]~P7(x93474,x93473)+~P105(f326(x93471,x93475))+P105(f326(f326(f328(x93474),f833(x93472,x93471,x93473,x93474)),f269(x93474,x93473)))+P105(f326(x93471,f832(x93472,x93471,x93473,x93474)))
% 225.14/225.11 [9471]~P7(x94711,x94714)+~P105(f326(x94713,x94715))+~P105(f326(x94712,f832(x94712,x94713,x94714,x94711)))+P105(f326(f326(f328(x94711),f833(x94712,x94713,x94714,x94711)),f269(x94711,x94714)))
% 225.14/225.11 [9768]~P38(x97681,x97684)+P105(f326(f326(f328(f924(f918(x97681),f918(x97681))),f326(f326(f251(f918(x97681),f918(x97681)),x97682),x97683)),f147(x97681,x97684)))+~P105(f326(f326(f328(f924(f918(x97681),f918(x97681))),f326(f326(f251(f918(x97681),f918(x97681)),x97682),x97685)),f147(x97681,x97684)))+~P105(f326(f326(f328(f924(f918(x97681),f918(x97681))),f326(f326(f251(f918(x97681),f918(x97681)),x97685),x97683)),f147(x97681,x97684)))
% 225.14/225.11 [5472]~P67(x54725)+E(x54721,x54722)+~E(x54723,x54724)+~E(f326(f326(f3(x54725),x54723),x54724),f326(f326(f3(x54725),x54721),x54722))
% 225.14/225.11 [6352]~P17(x63525,x63521,x63523)+E(f326(f326(x63521,x63522),f326(x63523,x63524)),f326(x63523,x63524))+~P105(f326(f60(x63525),x63524))+~P105(f326(f326(f328(x63525),x63522),x63524))
% 225.14/225.11 [6544]~P77(x65441)+~E(f326(f326(f3(x65441),x65444),x65445),f326(f326(f3(x65441),x65442),x65443))+~P105(f326(f326(f234(x65441),x65444),x65445))+P105(f326(f326(f234(x65441),x65442),x65443))
% 225.14/225.11 [6546]~P77(x65461)+~E(f326(f326(f3(x65461),x65464),x65465),f326(f326(f3(x65461),x65462),x65463))+~P105(f326(f326(f235(x65461),x65464),x65465))+P105(f326(f326(f235(x65461),x65462),x65463))
% 225.14/225.11 [7523]~E(x75232,f326(f326(f151(x75231),x75234),x75235))+P105(f326(f326(f328(f918(x75231)),x75232),f161(x75231,x75233)))+~P105(f326(f326(f328(f918(x75231)),x75235),f161(x75231,x75233)))+~P105(f326(f326(f328(x75231),x75234),x75233))
% 225.14/225.11 [7928]~E(f326(f189(f918(x79281)),x79283),f326(f189(f918(x79282)),x79284))+~E(f326(f326(f154(f924(x79281,x79282),x79282),f255(x79281,x79282)),x79285),x79284)+~E(f326(f326(f154(f924(x79281,x79282),x79281),f250(x79281,x79282)),x79285),x79283)+E(f326(f326(f181(x79281,x79282),x79283),x79284),x79285)
% 225.14/225.11 [8260]~P109(x82601)+P105(f326(f326(f235(f925(x82601,a913)),f302(x82601,x82602,x82603)),f302(x82601,x82604,x82605)))+~P105(f326(f326(f234(x82601),x82604),x82605))+P105(f326(f326(f234(x82601),x82602),x82603))
% 225.14/225.11 [8359]~P109(x83591)+P105(f326(f326(f234(f925(x83591,a913)),f302(x83591,x83592,x83593)),f302(x83591,x83594,x83595)))+~P105(f326(f326(f234(x83591),x83593),x83595))+~P105(f326(f326(f234(x83591),x83594),x83592))
% 225.14/225.11 [8477]~P108(x84771)+P105(f326(f326(f234(x84771),x84772),x84773))+P105(f326(f326(f234(x84771),x84774),x84773))+~P105(f326(f326(f234(f925(x84771,a913)),f326(f301(x84771,x84773),x84772)),f326(f301(x84771,x84774),x84775)))
% 225.14/225.11 [8478]~P108(x84781)+P105(f326(f326(f234(x84781),x84782),x84783))+P105(f326(f326(f234(x84781),x84782),x84784))+~P105(f326(f326(f234(f925(x84781,a913)),f326(f301(x84781,x84783),x84782)),f326(f301(x84781,x84785),x84784)))
% 225.14/225.11 [8709]~P109(x87091)+~P105(f326(f326(f234(f925(x87091,a913)),f302(x87091,x87094,x87092)),f302(x87091,x87095,x87093)))+P105(f326(f326(f234(x87091),x87092),x87093))+~P105(f326(f326(f234(x87091),x87094),x87092))
% 225.14/225.11 [8710]~P109(x87101)+~P105(f326(f326(f235(f925(x87101,a913)),f302(x87101,x87104,x87102)),f302(x87101,x87105,x87103)))+P105(f326(f326(f234(x87101),x87102),x87103))+~P105(f326(f326(f234(x87101),x87104),x87102))
% 225.14/225.11 [8711]~P109(x87111)+~P105(f326(f326(f234(f925(x87111,a913)),f302(x87111,x87113,x87114)),f302(x87111,x87112,x87115)))+P105(f326(f326(f234(x87111),x87112),x87113))+~P105(f326(f326(f234(x87111),x87113),x87114))
% 225.14/225.11 [8712]~P109(x87121)+~P105(f326(f326(f235(f925(x87121,a913)),f302(x87121,x87123,x87124)),f302(x87121,x87122,x87125)))+P105(f326(f326(f234(x87121),x87122),x87123))+~P105(f326(f326(f234(x87121),x87123),x87124))
% 225.14/225.11 [6238]~P17(x62382,x62385,x62383)+E(x62381,f188(f925(x62382,a913)))+~P105(f326(f60(x62382),x62381))+E(f326(x62383,f326(f326(f308(x62382),x62384),x62381)),f326(f326(x62385,x62384),f326(x62383,x62381)))
% 225.14/225.11 [7014]~E(x70141,x70142)+~E(f326(f326(f102(f925(x70143,a913)),x70144),x70145),f188(f925(x70143,a913)))+~P105(f326(f326(f328(x70143),x70142),x70145))+~P105(f326(f326(f328(x70143),x70141),x70144))
% 225.14/225.11 [7095]~P18(x70952,x70955,x70951)+~P105(f326(f60(x70952),x70954))+E(f326(x70951,f326(f326(f308(x70952),x70953),x70954)),f326(f326(f63(x70952,x70952,x70955),x70953),x70954))+P105(f326(f326(f328(x70952),x70953),x70954))
% 225.14/225.11 [7162]~P70(x71622)+~P105(f326(f60(x71621),x71625))+E(f326(f326(f8(x71621,x71622),x71623),f326(f326(f308(x71621),x71624),x71625)),f326(f326(f79(x71622),f326(x71623,x71624)),f326(f326(f8(x71621,x71622),x71623),x71625)))+P105(f326(f326(f328(x71621),x71624),x71625))
% 225.14/225.11 [7164]~P69(x71642)+~P105(f326(f60(x71641),x71645))+E(f326(f326(f11(x71641,x71642),x71643),f326(f326(f308(x71641),x71644),x71645)),f326(f326(f80(x71642),f326(x71643,x71644)),f326(f326(f11(x71641,x71642),x71643),x71645)))+P105(f326(f326(f328(x71641),x71644),x71645))
% 225.14/225.11 [7570]~P120(x75701)+~P105(f326(f60(x75704),x75705))+~P105(f326(f326(f328(x75704),x75703),x75705))+P105(f326(f326(f286(x75701),f326(x75702,x75703)),f326(f326(f11(x75704,x75701),x75702),x75705)))
% 225.14/225.11 [7670]~P18(x76702,x76705,x76701)+~P105(f326(f60(x76702),x76704))+E(f326(x76701,f326(f326(f308(x76702),x76703),x76704)),x76703)+~E(f326(f326(f3(f925(x76702,a913)),x76704),f326(f326(f308(x76702),x76703),f188(f925(x76702,a913)))),f188(f925(x76702,a913)))
% 225.14/225.11 [8027]~P3(x80271)+E(f326(f326(f35(x80271),f326(f326(f80(x80271),x80272),x80273)),f326(f326(f80(x80271),x80274),x80275)),f326(f326(f80(x80271),f326(f326(f35(x80271),x80272),x80274)),f326(f326(f35(x80271),x80273),x80275)))+~P105(f326(f326(f286(x80271),x80275),x80273))+~P105(f326(f326(f286(x80271),x80274),x80272))
% 225.14/225.11 [8031]~P83(x80311)+~P105(f326(f326(f234(x80311),x80313),x80315))+~P105(f326(f326(f234(x80311),x80312),x80314))+P105(f326(f326(f234(x80311),f326(f326(f79(x80311),x80312),x80313)),f326(f326(f79(x80311),x80314),x80315)))
% 225.14/225.11 [8032]~P108(x80321)+~P105(f326(f326(f234(x80321),x80323),x80325))+~P105(f326(f326(f234(x80321),x80322),x80324))+P105(f326(f326(f234(x80321),f326(f326(f238(x80321),x80322),x80323)),f326(f326(f238(x80321),x80324),x80325)))
% 225.14/225.11 [8033]~P108(x80331)+~P105(f326(f326(f234(x80331),x80333),x80335))+~P105(f326(f326(f234(x80331),x80332),x80334))+P105(f326(f326(f234(x80331),f326(f326(f233(x80331),x80332),x80333)),f326(f326(f233(x80331),x80334),x80335)))
% 225.14/225.11 [8034]~P98(x80341)+~P105(f326(f326(f234(x80341),x80343),x80345))+~P105(f326(f326(f234(x80341),x80342),x80344))+P105(f326(f326(f234(x80341),f326(f326(f101(x80341),x80342),x80343)),f326(f326(f101(x80341),x80344),x80345)))
% 225.14/225.11 [8035]~P102(x80351)+~P105(f326(f326(f234(x80351),x80353),x80355))+~P105(f326(f326(f234(x80351),x80352),x80354))+P105(f326(f326(f234(x80351),f326(f326(f102(x80351),x80352),x80353)),f326(f326(f102(x80351),x80354),x80355)))
% 225.14/225.11 [8036]~P81(x80361)+~P105(f326(f326(f234(x80361),x80363),x80365))+~P105(f326(f326(f235(x80361),x80362),x80364))+P105(f326(f326(f235(x80361),f326(f326(f79(x80361),x80362),x80363)),f326(f326(f79(x80361),x80364),x80365)))
% 225.14/225.11 [8037]~P81(x80371)+~P105(f326(f326(f234(x80371),x80372),x80374))+~P105(f326(f326(f235(x80371),x80373),x80375))+P105(f326(f326(f235(x80371),f326(f326(f79(x80371),x80372),x80373)),f326(f326(f79(x80371),x80374),x80375)))
% 225.14/225.11 [8038]~P81(x80381)+~P105(f326(f326(f235(x80381),x80383),x80385))+~P105(f326(f326(f235(x80381),x80382),x80384))+P105(f326(f326(f235(x80381),f326(f326(f79(x80381),x80382),x80383)),f326(f326(f79(x80381),x80384),x80385)))
% 225.14/225.11 [8039]~P120(x80391)+~P105(f326(f326(f286(x80391),x80393),x80395))+~P105(f326(f326(f286(x80391),x80392),x80394))+P105(f326(f326(f286(x80391),f326(f326(f80(x80391),x80392),x80393)),f326(f326(f80(x80391),x80394),x80395)))
% 225.14/225.11 [8176]~P143(x81765)+E(x81761,x81762)+E(x81763,x81764)+~E(f326(f326(f79(x81765),f326(f326(f80(x81765),x81763),x81761)),f326(f326(f80(x81765),x81764),x81762)),f326(f326(f79(x81765),f326(f326(f80(x81765),x81763),x81762)),f326(f326(f80(x81765),x81764),x81761)))
% 225.14/225.11 [8379]~P108(x83794)+~P105(f326(f137(x83791),x83793))+P105(f326(f326(f328(x83791),x83792),f326(f172(x83791),x83793)))+P105(f326(f137(x83791),f326(f326(f148(x83791,x83794,x83795),x83792),x83793)))
% 225.14/225.11 [8524]~P67(x85241)+E(f326(f326(f3(x85241),f326(f326(f8(a917,x85241),x85242),f326(f301(a917,x85243),x85244))),f326(f326(f8(a917,x85241),x85242),f326(f301(a917,x85243),x85245))),f326(f326(f8(a917,x85241),x85242),f326(f301(a917,x85245),x85244)))+~P105(f326(f326(f234(a917),x85245),x85244))+~P105(f326(f326(f234(a917),x85243),x85245))
% 225.14/225.11 [8525]~P70(x85251)+E(f326(f326(f79(x85251),f326(f326(f8(a917,x85251),x85252),f326(f301(a917,x85253),x85254))),f326(f326(f8(a917,x85251),x85252),f326(f301(a917,x85254),x85255))),f326(f326(f8(a917,x85251),x85252),f326(f301(a917,x85253),x85255)))+~P105(f326(f326(f234(a917),x85254),x85255))+~P105(f326(f326(f234(a917),x85253),x85254))
% 225.14/225.11 [8852]~P62(x88522)+E(x88521,f2(x88522))+E(x88523,f2(x88522))+E(f326(f326(f290(x88522),f326(f326(f3(x88522),f326(f326(f80(x88522),x88524),x88521)),f326(f326(f80(x88522),x88525),x88523))),f326(f326(f80(x88522),x88523),x88521)),f326(f326(f3(x88522),f326(f326(f290(x88522),x88524),x88523)),f326(f326(f290(x88522),x88525),x88521)))
% 225.14/225.11 [8853]~P62(x88532)+E(x88531,f2(x88532))+E(x88533,f2(x88532))+E(f326(f326(f290(x88532),f326(f326(f79(x88532),f326(f326(f80(x88532),x88534),x88531)),f326(f326(f80(x88532),x88535),x88533))),f326(f326(f80(x88532),x88533),x88531)),f326(f326(f79(x88532),f326(f326(f290(x88532),x88534),x88533)),f326(f326(f290(x88532),x88535),x88531)))
% 225.14/225.11 [8862]~E(x88622,f326(x88623,x88621))+E(x88621,f485(x88622,x88623,x88624,x88625))+~P25(x88625,x88624,x88623,f241(f925(x88625,a913)))+~P105(f326(f326(f328(x88624),x88622),f326(f309(x88625,x88624,x88623),f241(f925(x88625,a913)))))
% 225.14/225.11 [9079]~P113(x90791)+~P105(f326(f326(f235(x90791),f326(f75(x90791),x90792)),x90794))+P105(f326(f326(f235(x90791),f326(f326(f80(x90791),f326(f75(x90791),x90792)),f326(f75(x90791),x90793))),f326(f326(f80(x90791),x90794),x90795)))+~P105(f326(f326(f235(x90791),f326(f75(x90791),x90793)),x90795))
% 225.14/225.11 [9190]~P25(x91901,x91903,x91905,x91902)+~P105(f326(f60(x91903),x91904))+P105(f326(f326(f234(a917),f326(f34(x91901),x91902)),f326(f34(x91903),x91904)))+~P105(f326(f326(f234(f925(x91903,a913)),f326(f309(x91901,x91903,x91905),x91902)),x91904))
% 225.14/225.11 [9257]~P70(x92572)+~P25(x92571,x92571,x92574,x92575)+~P105(f326(f60(x92571),x92575))+E(f326(f326(f8(x92571,x92572),f326(f72(x92571,x92572,x92571,x92573),x92574)),x92575),f326(f326(f8(x92571,x92572),x92573),f326(f309(x92571,x92571,x92574),x92575)))
% 225.14/225.11 [9258]~P69(x92582)+~P25(x92581,x92581,x92584,x92585)+~P105(f326(f60(x92581),x92585))+E(f326(f326(f11(x92581,x92582),f326(f72(x92581,x92582,x92581,x92583),x92584)),x92585),f326(f326(f11(x92581,x92582),x92583),f326(f309(x92581,x92581,x92584),x92585)))
% 225.14/225.11 [9375]~P37(x93751,x93752)+~P105(f326(f326(f328(x93751),x93753),x93754))+~P105(f326(f326(f328(x93751),x93755),x93754))+~P105(f326(f326(f328(f924(x93751,x93751)),f326(f326(f251(x93751,x93751),x93755),f603(x93752,x93751,x93754))),x93752))
% 225.14/225.11 [9412]~P25(x94122,x94123,x94125,x94121)+E(x94121,f188(f925(x94122,a913)))+E(f326(f309(x94123,x94122,f488(x94124,x94123,x94122,x94121)),x94124),x94121)+~P105(f326(f326(f234(f925(x94123,a913)),f326(f309(x94122,x94123,x94125),x94121)),x94124))
% 225.14/225.11 [9904]~P108(x99045)+~P5(x99045)+P105(f326(f326(f328(x99041),f506(x99042,x99043,x99041,x99044,x99045)),x99043))+~P105(f326(f326(f235(x99045),x99044),f326(f326(f38(x99041,x99045),x99043),x99042)))
% 225.14/225.11 [9909]~P108(x99091)+~P5(x99091)+P105(f326(f326(f235(x99091),x99092),f326(x99093,f506(x99093,x99094,x99095,x99092,x99091))))+~P105(f326(f326(f235(x99091),x99092),f326(f326(f38(x99095,x99091),x99094),x99093)))
% 225.14/225.11 [9987]~P66(x99871)+~P105(f326(f65(x99871,x99871,f80(x99871),x99872,x99873),x99875))+P105(f326(f326(f328(x99871),x99872),x99873))+P105(f326(f65(x99871,x99871,f80(x99871),x99874,f326(f326(f308(x99871),x99872),x99873)),f326(f326(f80(x99871),x99874),x99875)))
% 225.14/225.11 [10202]~P70(x102022)+~P105(f326(f60(x102021),x102025))+E(f326(f326(f8(x102021,x102022),f326(f326(f9(x102021,x102022,x102022),f326(f326(f20(x102021,x102022,f925(x102022,x102022)),f326(f326(f10(a913,f925(x102022,f925(x102022,x102022)),x102021),f96(x102022)),f326(a323,x102023))),x102024)),f2(x102022))),x102025),f2(x102022))+P105(f326(f326(f328(x102021),x102023),x102025))
% 225.14/225.11 [10203]~P69(x102032)+~P105(f326(f60(x102031),x102035))+E(f326(f326(f11(x102031,x102032),f326(f326(f9(x102031,x102032,x102032),f326(f326(f20(x102031,x102032,f925(x102032,x102032)),f326(f326(f10(a913,f925(x102032,f925(x102032,x102032)),x102031),f96(x102032)),f326(a323,x102033))),x102034)),f77(x102032))),x102035),f77(x102032))+P105(f326(f326(f328(x102031),x102033),x102035))
% 225.14/225.11 [10204]~P70(x102042)+~P105(f326(f60(x102041),x102045))+E(f326(f326(f8(x102041,x102042),f326(f326(f9(x102041,x102042,x102042),f326(f326(f20(x102041,x102042,f925(x102042,x102042)),f326(f326(f10(a913,f925(x102042,f925(x102042,x102042)),x102041),f96(x102042)),f326(a323,x102043))),x102044)),f2(x102042))),x102045),f326(x102044,x102043))+~P105(f326(f326(f328(x102041),x102043),x102045))
% 225.14/225.11 [10205]~P69(x102052)+~P105(f326(f60(x102051),x102055))+E(f326(f326(f11(x102051,x102052),f326(f326(f9(x102051,x102052,x102052),f326(f326(f20(x102051,x102052,f925(x102052,x102052)),f326(f326(f10(a913,f925(x102052,f925(x102052,x102052)),x102051),f96(x102052)),f326(a323,x102053))),x102054)),f77(x102052))),x102055),f326(x102054,x102053))+~P105(f326(f326(f328(x102051),x102053),x102055))
% 225.14/225.11 [10262]~P70(x102622)+~P105(f326(f60(x102621),x102625))+E(f326(f326(f8(x102621,x102622),f326(f326(f9(x102621,x102622,x102622),f326(f326(f20(x102621,x102622,f925(x102622,x102622)),f326(f326(f10(a913,f925(x102622,f925(x102622,x102622)),x102621),f96(x102622)),f326(f326(f9(x102621,x102621,a913),a323),x102623))),x102624)),f2(x102622))),x102625),f2(x102622))+P105(f326(f326(f328(x102621),x102623),x102625))
% 225.14/225.11 [10263]~P69(x102632)+~P105(f326(f60(x102631),x102635))+E(f326(f326(f11(x102631,x102632),f326(f326(f9(x102631,x102632,x102632),f326(f326(f20(x102631,x102632,f925(x102632,x102632)),f326(f326(f10(a913,f925(x102632,f925(x102632,x102632)),x102631),f96(x102632)),f326(f326(f9(x102631,x102631,a913),a323),x102633))),x102634)),f77(x102632))),x102635),f77(x102632))+P105(f326(f326(f328(x102631),x102633),x102635))
% 225.14/225.11 [10265]~P70(x102652)+~P105(f326(f60(x102651),x102655))+E(f326(f326(f8(x102651,x102652),f326(f326(f9(x102651,x102652,x102652),f326(f326(f20(x102651,x102652,f925(x102652,x102652)),f326(f326(f10(a913,f925(x102652,f925(x102652,x102652)),x102651),f96(x102652)),f326(f326(f9(x102651,x102651,a913),a323),x102653))),x102654)),f2(x102652))),x102655),f326(x102654,x102653))+~P105(f326(f326(f328(x102651),x102653),x102655))
% 225.14/225.11 [10266]~P69(x102662)+~P105(f326(f60(x102661),x102665))+E(f326(f326(f11(x102661,x102662),f326(f326(f9(x102661,x102662,x102662),f326(f326(f20(x102661,x102662,f925(x102662,x102662)),f326(f326(f10(a913,f925(x102662,f925(x102662,x102662)),x102661),f96(x102662)),f326(f326(f9(x102661,x102661,a913),a323),x102663))),x102664)),f77(x102662))),x102665),f326(x102664,x102663))+~P105(f326(f326(f328(x102661),x102663),x102665))
% 225.14/225.11 [8030]~P67(x80302)+~P105(f326(f60(x80301),x80304))+E(f326(f326(f8(x80301,x80302),x80303),f326(f326(f3(f925(x80301,a913)),x80304),f326(f326(f308(x80301),x80305),f188(f925(x80301,a913))))),f326(f326(f8(x80301,x80302),x80303),x80304))+P105(f326(f326(f328(x80301),x80305),x80304))
% 225.14/225.11 [8532]~P110(x85322)+~P105(f326(f60(x85321),x85324))+E(f326(f326(f8(x85321,x85322),x85323),f326(f326(f3(f925(x85321,a913)),x85324),f326(f326(f308(x85321),x85325),f188(f925(x85321,a913))))),f326(f326(f3(x85322),f326(f326(f8(x85321,x85322),x85323),x85324)),f326(x85323,x85325)))+~P105(f326(f326(f328(x85321),x85325),x85324))
% 225.14/225.11 [8533]~P67(x85332)+~P105(f326(f60(x85331),x85334))+E(f326(f326(f8(x85331,x85332),x85333),f326(f326(f3(f925(x85331,a913)),x85334),f326(f326(f308(x85331),x85335),f188(f925(x85331,a913))))),f326(f326(f3(x85332),f326(f326(f8(x85331,x85332),x85333),x85334)),f326(x85333,x85335)))+~P105(f326(f326(f328(x85331),x85335),x85334))
% 225.14/225.11 [8562]~P67(x85621)+~P105(f326(f60(x85622),x85624))+E(f326(f326(f3(x85621),f326(f326(f8(x85622,x85621),x85623),x85624)),f326(f326(f8(x85622,x85621),x85623),x85625)),f326(f326(f8(x85622,x85621),x85623),f326(f326(f3(f925(x85622,a913)),x85624),x85625)))+~P105(f326(f326(f234(f925(x85622,a913)),x85625),x85624))
% 225.14/225.11 [8581]P105(f326(f60(x85811),f326(x85812,x85813)))+~P105(f326(f60(x85814),x85815))+~P105(f326(f326(f328(x85814),x85813),x85815))+~P105(f326(f60(x85811),f326(f326(f38(x85814,f925(x85811,a913)),x85815),x85812)))
% 225.14/225.11 [9035]~P8(x90351,x90355,x90354)+~E(f326(f284(x90351,x90351,x90354),f326(f326(f308(x90351),x90352),f188(f925(x90351,a913)))),f326(f284(x90351,x90351,x90354),f326(f326(f308(x90351),x90353),f188(f925(x90351,a913)))))+~P105(f326(f326(f328(x90351),x90353),x90355))+P105(f326(f326(f328(f924(x90351,x90351)),f326(f326(f251(x90351,x90351),x90352),x90353)),x90354))
% 225.14/225.11 [9332]~P105(f326(x93321,x93325))+P105(f326(x93321,f425(x93321,x93322,x93323,x93324)))+P105(f326(x93321,f424(x93321,x93322,x93323,x93324)))+~P105(f326(f326(f328(x93324),x93325),f326(f326(f101(f925(x93324,a913)),x93323),x93322)))
% 225.14/225.11 [9518]~P105(f326(x95181,x95185))+P105(f326(x95181,f424(x95181,x95182,x95183,x95184)))+P105(f326(f326(f328(x95184),f425(x95181,x95182,x95183,x95184)),x95182))+~P105(f326(f326(f328(x95184),x95185),f326(f326(f101(f925(x95184,a913)),x95183),x95182)))
% 225.14/225.11 [9519]~P105(f326(x95191,x95195))+P105(f326(x95191,f425(x95191,x95192,x95193,x95194)))+P105(f326(f326(f328(x95194),f424(x95191,x95192,x95193,x95194)),x95193))+~P105(f326(f326(f328(x95194),x95195),f326(f326(f101(f925(x95194,a913)),x95193),x95192)))
% 225.14/225.11 [9523]P105(f326(x95231,x95232))+~P105(f326(x95231,f429(x95231,x95233,x95234,x95235)))+~P105(f326(x95231,f428(x95231,x95233,x95234,x95235)))+~P105(f326(f326(f328(x95235),x95232),f326(f326(f101(f925(x95235,a913)),x95234),x95233)))
% 225.14/225.11 [9528]~P38(x95281,x95284)+~P105(f326(f326(f328(f924(x95281,x95281)),f326(f326(f251(x95281,x95281),x95282),x95285)),x95284))+P105(f326(f326(f328(f924(x95281,x95281)),f326(f326(f251(x95281,x95281),x95282),x95283)),x95284))+~P105(f326(f326(f328(f924(x95281,x95281)),f326(f326(f251(x95281,x95281),x95285),x95283)),x95284))
% 225.14/225.11 [9567]E(x95671,x95672)+~P105(f326(f326(f328(f924(x95673,x95673)),f326(f326(f251(x95673,x95673),x95671),x95672)),f306(x95673,x95675)))+P105(f326(f326(f328(x95673),x95671),x95674))+~P105(f326(f326(f234(f925(f924(x95673,x95673),a913)),x95675),f326(f326(f253(x95673,x95673),x95674),f326(f18(f925(x95673,a913),x95673),x95674))))
% 225.14/225.11 [9585]P105(f326(x95851,x95852))+~P105(f326(x95851,f428(x95851,x95854,x95855,x95853)))+P105(f326(f326(f328(x95853),f429(x95851,x95854,x95855,x95853)),x95854))+~P105(f326(f326(f328(x95853),x95852),f326(f326(f101(f925(x95853,a913)),x95855),x95854)))
% 225.14/225.11 [9586]P105(f326(x95861,x95862))+~P105(f326(x95861,f429(x95861,x95864,x95865,x95863)))+P105(f326(f326(f328(x95863),f428(x95861,x95864,x95865,x95863)),x95865))+~P105(f326(f326(f328(x95863),x95862),f326(f326(f101(f925(x95863,a913)),x95865),x95864)))
% 225.14/225.11 [9654]P105(f326(x96541,x96542))+P105(f326(f326(f328(x96543),f429(x96541,x96544,x96545,x96543)),x96544))+P105(f326(f326(f328(x96543),f428(x96541,x96544,x96545,x96543)),x96545))+~P105(f326(f326(f328(x96543),x96542),f326(f326(f101(f925(x96543,a913)),x96545),x96544)))
% 225.14/225.11 [9656]~P105(f326(x96562,x96565))+P105(f326(f326(f328(x96561),f425(x96562,x96563,x96564,x96561)),x96563))+P105(f326(f326(f328(x96561),f424(x96562,x96563,x96564,x96561)),x96564))+~P105(f326(f326(f328(x96561),x96565),f326(f326(f101(f925(x96561,a913)),x96564),x96563)))
% 225.14/225.11 [9810]~P8(x98101,x98105,x98104)+~P105(f326(f326(f328(x98101),x98103),x98105))+P105(f326(f326(f328(f924(x98101,x98101)),f326(f326(f251(x98101,x98101),x98102),x98103)),x98104))+~P105(f326(f326(f234(f925(x98101,a913)),f326(f284(x98101,x98101,x98104),f326(f326(f308(x98101),x98103),f188(f925(x98101,a913))))),f326(f284(x98101,x98101,x98104),f326(f326(f308(x98101),x98102),f188(f925(x98101,a913))))))
% 225.14/225.11 [9938]~P108(x99385)+~P5(x99385)+P105(f326(f326(f328(x99381),f527(x99382,x99383,x99384,x99381,x99385)),x99384))+~P105(f326(f326(f235(x99385),f326(f326(f39(x99381,x99385),x99384),x99383)),x99382))
% 225.14/225.11 [9970]~P83(x99705)+~P80(x99705)+P105(f326(f326(f328(x99701),f696(x99702,x99703,x99704,x99701,x99705)),f326(f172(x99701),x99704)))+P105(f326(f326(f234(x99705),f326(f165(x99705),f326(f326(f154(x99701,x99705),x99703),x99704))),f326(f165(x99705),f326(f326(f154(x99701,x99705),x99702),x99704))))
% 225.14/225.11 [10079]~P108(x100791)+~P5(x100791)+P105(f326(f326(f235(x100791),f326(x100792,f527(x100793,x100792,x100794,x100795,x100791))),x100793))+~P105(f326(f326(f235(x100791),f326(f326(f39(x100795,x100791),x100794),x100792)),x100793))
% 225.14/225.11 [10220]~P83(x102201)+~P80(x102201)+~P105(f326(f326(f234(x102201),f326(x102203,f696(x102205,x102203,x102204,x102202,x102201))),f326(x102205,f696(x102205,x102203,x102204,x102202,x102201))))+P105(f326(f326(f234(x102201),f326(f165(x102201),f326(f326(f154(x102202,x102201),x102203),x102204))),f326(f165(x102201),f326(f326(f154(x102202,x102201),x102205),x102204))))
% 225.14/225.11 [8875]~P70(x88751)+~P105(f326(f60(x88754),x88755))+~P105(f326(f326(f328(x88754),x88753),x88755))+E(f326(f326(f79(x88751),f326(x88752,x88753)),f326(f326(f8(x88754,x88751),x88752),f326(f326(f3(f925(x88754,a913)),x88755),f326(f326(f308(x88754),x88753),f188(f925(x88754,a913)))))),f326(f326(f8(x88754,x88751),x88752),x88755))
% 225.14/225.11 [8876]~P69(x88761)+~P105(f326(f60(x88764),x88765))+~P105(f326(f326(f328(x88764),x88763),x88765))+E(f326(f326(f80(x88761),f326(x88762,x88763)),f326(f326(f11(x88764,x88761),x88762),f326(f326(f3(f925(x88764,a913)),x88765),f326(f326(f308(x88764),x88763),f188(f925(x88764,a913)))))),f326(f326(f11(x88764,x88761),x88762),x88765))
% 225.14/225.11 [8936]~P18(x89361,x89364,x89365)+~P105(f326(f60(x89361),x89362))+E(f326(f326(f3(f925(x89361,a913)),x89362),f326(f326(f308(x89361),x89363),f188(f925(x89361,a913)))),f188(f925(x89361,a913)))+E(f326(f326(x89364,x89363),f326(x89365,f326(f326(f3(f925(x89361,a913)),x89362),f326(f326(f308(x89361),x89363),f188(f925(x89361,a913)))))),f326(x89365,f326(f326(f308(x89361),x89363),x89362)))
% 225.14/225.11 [9311]~P69(x93111)+~P105(f326(f60(x93112),x93115))+~P105(f326(f60(x93112),x93114))+E(f326(f326(f80(x93111),f326(f326(f11(x93112,x93111),x93113),f326(f326(f101(f925(x93112,a913)),x93114),x93115))),f326(f326(f11(x93112,x93111),x93113),f326(f326(f102(f925(x93112,a913)),x93114),x93115))),f326(f326(f80(x93111),f326(f326(f11(x93112,x93111),x93113),x93114)),f326(f326(f11(x93112,x93111),x93113),x93115)))
% 225.14/225.11 [9312]~P70(x93121)+~P105(f326(f60(x93122),x93125))+~P105(f326(f60(x93122),x93124))+E(f326(f326(f79(x93121),f326(f326(f8(x93122,x93121),x93123),f326(f326(f101(f925(x93122,a913)),x93124),x93125))),f326(f326(f8(x93122,x93121),x93123),f326(f326(f102(f925(x93122,a913)),x93124),x93125))),f326(f326(f79(x93121),f326(f326(f8(x93122,x93121),x93123),x93124)),f326(f326(f8(x93122,x93121),x93123),x93125)))
% 225.14/225.11 [9451]~P67(x94511)+~P105(f326(f60(x94512),x94515))+~P105(f326(f60(x94512),x94514))+E(f326(f326(f3(x94511),f326(f326(f79(x94511),f326(f326(f8(x94512,x94511),x94513),x94514)),f326(f326(f8(x94512,x94511),x94513),x94515))),f326(f326(f8(x94512,x94511),x94513),f326(f326(f102(f925(x94512,a913)),x94514),x94515))),f326(f326(f8(x94512,x94511),x94513),f326(f326(f101(f925(x94512,a913)),x94514),x94515)))
% 225.14/225.11 [9668]~P25(x96681,x96682,x96683,x96685)+~P25(x96681,x96682,x96683,x96684)+P25(x96681,x96682,x96683,f326(f326(f101(f925(x96681,a913)),x96684),x96685))+~E(f326(f326(f102(f925(x96682,a913)),f326(f309(x96681,x96682,x96683),f326(f326(f3(f925(x96681,a913)),x96684),x96685))),f326(f309(x96681,x96682,x96683),f326(f326(f3(f925(x96681,a913)),x96685),x96684))),f188(f925(x96682,a913)))
% 225.14/225.11 [9785]E(x97851,f2(a1))+~P105(f326(f326(f235(a1),f2(a1)),x97853))+~P105(f326(f48(x97852,x97851),f326(f326(f251(a1,a1),x97854),x97855)))+P105(f326(f48(x97852,f326(f326(f80(a1),x97851),x97853)),f326(f326(f251(a1,a1),f326(f326(f35(a1),x97854),x97853)),f326(f326(f79(a1),f326(f326(f80(a1),x97851),f44(a1,x97854,x97853))),x97855))))
% 225.14/225.11 [9793]~P105(f326(f326(f235(a917),f2(a917)),x97933))+~P105(f326(f326(f235(a917),f2(a917)),x97932))+~P105(f326(f47(x97931,x97932),f326(f326(f251(a917,a917),x97934),x97935)))+P105(f326(f47(x97931,f326(f326(f80(a917),x97932),x97933)),f326(f326(f251(a917,a917),f326(f326(f35(a917),x97934),x97933)),f326(f326(f79(a917),f326(f326(f80(a917),x97932),f44(a917,x97934,x97933))),x97935))))
% 225.14/225.11 [9842]~P69(x98421)+~P105(f326(f60(x98422),x98425))+~P105(f326(f60(x98422),x98424))+E(f326(f326(f80(x98421),f326(f326(f326(f64(x98421,x98422,f80(x98421)),x98423),f77(x98421)),f326(f326(f101(f925(x98422,a913)),x98424),x98425))),f326(f326(f326(f64(x98421,x98422,f80(x98421)),x98423),f77(x98421)),f326(f326(f102(f925(x98422,a913)),x98424),x98425))),f326(f326(f80(x98421),f326(f326(f326(f64(x98421,x98422,f80(x98421)),x98423),f77(x98421)),x98424)),f326(f326(f326(f64(x98421,x98422,f80(x98421)),x98423),f77(x98421)),x98425)))
% 225.14/225.11 [9844]~E(f326(f326(f175(x98441),x98445),x98442),f326(f326(f175(x98441),x98445),x98443))+P105(f326(f326(f328(f924(f918(x98441),f918(x98441))),f326(f326(f251(f918(x98441),f918(x98441)),x98442),x98443)),f147(x98441,x98444)))+~P105(f326(f326(f235(a917),x98445),f326(f326(f238(a917),f326(f189(f918(x98441)),x98442)),f326(f189(f918(x98441)),x98443))))+~P105(f326(f326(f328(f924(x98441,x98441)),f326(f326(f251(x98441,x98441),f326(f326(f164(x98441),x98442),x98445)),f326(f326(f164(x98441),x98443),x98445))),x98444))
% 225.14/225.11 [9959]~P83(x99595)+~P145(x99595)+P105(f326(f326(f328(x99591),f902(x99592,x99593,x99594,x99591,x99595)),x99594))+P105(f326(f326(f234(x99595),f326(f326(f8(x99591,x99595),x99593),x99594)),f326(f326(f80(x99595),f326(f100(x99595),f326(f34(x99591),x99594))),x99592)))
% 225.14/225.11 [10137]~P83(x101371)+~P145(x101371)+~P105(f326(f326(f234(x101371),f326(x101373,f902(x101375,x101373,x101374,x101372,x101371))),x101375))+P105(f326(f326(f234(x101371),f326(f326(f8(x101372,x101371),x101373),x101374)),f326(f326(f80(x101371),f326(f100(x101371),f326(f34(x101372),x101374))),x101375)))
% 225.14/225.11 [8904]E(f326(f326(f134(x89041),x89042),x89043),f326(f326(f134(x89041),x89044),x89045))+~E(f326(f326(f175(x89041),f326(f189(f918(x89041)),x89042)),x89044),x89042)+~E(f326(f326(f134(x89041),f326(f326(f138(x89041),f326(f189(f918(x89041)),x89042)),x89044)),x89045),x89043)+P105(f326(f326(f234(a917),f326(f189(f918(x89041)),x89044)),f326(f189(f918(x89041)),x89042)))
% 225.14/225.11 [9034]E(f326(f326(f134(x90341),x90342),x90343),f326(f326(f134(x90341),x90344),x90345))+~E(f326(f326(f175(x90341),f326(f189(f918(x90341)),x90342)),x90344),x90342)+~E(x90343,f326(f326(f134(x90341),f326(f326(f138(x90341),f326(f189(f918(x90341)),x90342)),x90344)),x90345))+~P105(f326(f326(f234(a917),f326(f189(f918(x90341)),x90342)),f326(f189(f918(x90341)),x90344)))
% 225.14/225.11 [10285]~P105(f326(x102855,x102854))+~P105(f326(f60(x102852),f326(f261(x102852),x102855)))+P105(f326(f60(x102851),f326(f261(x102851),f326(f326(f9(x102851,x102852,a913),x102853),x102854))))+~P105(f326(f60(x102851),f326(f261(x102851),f326(f326(f10(f925(x102852,a913),a913,x102851),f86(x102852)),f326(f326(f10(f925(x102852,a913),f925(x102852,a913),x102851),f326(f20(x102852,a913,a913),f326(f326(f10(a913,f925(a913,a913),x102852),a324),x102855))),x102853)))))
% 225.14/225.11 [10357]~P105(f326(f60(x103572),x103575))+~P105(f326(f326(f328(x103572),x103574),x103575))+P105(f326(f60(x103571),f326(f261(x103571),f326(f326(f9(x103571,x103572,a913),x103573),x103574))))+~P105(f326(f60(x103571),f326(f261(x103571),f326(f326(f10(f925(x103572,a913),a913,x103571),f86(x103572)),f326(f326(f10(f925(x103572,a913),f925(x103572,a913),x103571),f326(f20(x103572,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103572),a324),f326(f326(f9(x103572,f925(x103572,a913),a913),f328(x103572)),x103575)))),x103573)))))
% 225.14/225.11 [8690]~P19(x86905,x86901,x86906,x86902)+E(f326(f72(x86901,x86901,x86901,f326(x86902,x86903)),f326(x86902,x86904)),f326(f72(x86901,x86901,x86901,f326(x86902,x86904)),f326(x86902,x86903)))+~P105(f326(f60(x86905),x86904))+~P105(f326(f60(x86905),x86903))
% 225.14/225.11 [8086]~P25(x80861,x80862,x80864,x80863)+~E(f326(x80864,x80866),x80865)+E(f326(f76(x80861,x80862,x80863,x80864),x80865),x80866)+~P105(f326(f326(f328(x80861),x80866),x80863))
% 225.14/225.11 [8087]~P25(x80871,x80872,x80874,x80873)+~E(f326(x80874,x80876),x80875)+E(f326(f90(x80871,x80872,x80873,x80874),x80875),x80876)+~P105(f326(f326(f328(x80871),x80876),x80873))
% 225.14/225.11 [8281]~P20(x82816,x82811,x82814,x82812)+E(f326(f72(x82811,x82811,x82811,f326(x82812,x82813)),f326(x82814,x82815)),f326(x82812,x82813))+~P105(f326(f60(x82816),x82813))+~P105(f326(f326(f328(x82816),x82815),x82813))
% 225.14/225.11 [9403]E(x94031,x94032)+~E(f326(f90(x94033,x94034,x94035,x94036),x94031),f326(f90(x94033,x94034,x94035,x94036),x94032))+~P105(f326(f326(f328(x94034),x94032),f326(f309(x94033,x94034,x94036),x94035)))+~P105(f326(f326(f328(x94034),x94031),f326(f309(x94033,x94034,x94036),x94035)))
% 225.14/225.11 [9502]~P19(x95023,x95021,x95026,x95022)+E(f326(f72(x95021,x95021,x95021,f326(x95022,f326(f326(f3(f925(x95023,a913)),x95024),f326(f326(f308(x95023),x95025),f188(f925(x95023,a913)))))),f326(x95026,x95025)),f326(x95022,x95024))+~P105(f326(f60(x95023),x95024))+~P105(f326(f326(f328(x95023),x95025),x95024))
% 225.14/225.11 [7167]~P4(x71671)+~E(f44(x71671,x71673,x71674),f44(x71671,x71676,x71674))+~E(f44(x71671,x71672,x71674),f44(x71671,x71675,x71674))+E(f44(x71671,f326(f326(f3(x71671),x71672),x71673),x71674),f44(x71671,f326(f326(f3(x71671),x71675),x71676),x71674))
% 225.14/225.11 [7168]~P3(x71681)+~E(f44(x71681,x71683,x71684),f44(x71681,x71686,x71684))+~E(f44(x71681,x71682,x71684),f44(x71681,x71685,x71684))+E(f44(x71681,f326(f326(f80(x71681),x71682),x71683),x71684),f44(x71681,f326(f326(f80(x71681),x71685),x71686),x71684))
% 225.14/225.11 [7169]~P3(x71691)+~E(f44(x71691,x71693,x71694),f44(x71691,x71696,x71694))+~E(f44(x71691,x71692,x71694),f44(x71691,x71695,x71694))+E(f44(x71691,f326(f326(f79(x71691),x71692),x71693),x71694),f44(x71691,f326(f326(f79(x71691),x71695),x71696),x71694))
% 225.14/225.11 [7982]~P16(x79821,x79822,x79823)+~P105(f326(f60(x79821),x79826))+E(f326(f326(f63(x79821,x79822,x79823),x79824),f326(f326(f308(x79821),x79825),x79826)),f326(f326(f63(x79821,x79822,x79823),f326(f326(x79823,x79825),x79824)),x79826))+P105(f326(f326(f328(x79821),x79825),x79826))
% 225.14/225.11 [8045]~P5(x80451)+P105(f326(f326(f234(x80451),x80452),f326(x80453,x80454)))+~P105(f326(f326(f328(x80455),x80454),x80456))+~P105(f326(f326(f234(x80451),x80452),f326(f326(f39(x80455,x80451),x80456),x80453)))
% 225.14/225.11 [8203]~P16(x82031,x82032,x82033)+~P105(f326(f60(x82031),x82036))+E(f326(f326(f63(x82031,x82032,x82033),x82034),f326(f326(f308(x82031),x82035),x82036)),f326(f326(x82033,x82035),f326(f326(f63(x82031,x82032,x82033),x82034),x82036)))+P105(f326(f326(f328(x82031),x82035),x82036))
% 225.14/225.11 [8298]~P108(x82983)+~P105(f326(x82982,x82985))+~P13(x82983,f326(f326(f154(x82981,x82983),x82984),x82986))+E(f326(f136(x82981,x82982),f326(f326(f148(x82981,x82983,x82984),x82985),x82986)),f326(f326(f148(x82981,x82983,x82984),x82985),f326(f136(x82981,x82982),x82986)))
% 225.14/225.11 [8321]E(x83211,x83212)+E(x83213,f2(a1))+~P105(f326(f48(x83214,x83213),f326(f326(f251(a1,a1),x83215),x83212)))+~P105(f326(f48(x83214,x83213),f326(f326(f251(a1,a1),x83216),x83211)))
% 225.14/225.11 [8322]E(x83221,x83222)+E(x83223,f2(a1))+~P105(f326(f48(x83224,x83223),f326(f326(f251(a1,a1),x83222),x83225)))+~P105(f326(f48(x83224,x83223),f326(f326(f251(a1,a1),x83221),x83226)))
% 225.14/225.11 [8345]~P19(x83452,x83455,x83456,x83451)+~P105(f326(f60(x83452),x83454))+E(f326(x83451,f326(f326(f308(x83452),x83453),x83454)),f326(f72(x83455,x83455,x83455,f326(x83451,x83454)),f326(x83456,x83453)))+P105(f326(f326(f328(x83452),x83453),x83454))
% 225.14/225.11 [8565]~P20(x85655,x85651,x85656,x85652)+E(f326(f72(x85651,x85651,x85651,f326(x85652,x85653)),f326(x85652,x85654)),f326(x85652,x85653))+~P105(f326(f60(x85655),x85653))+~P105(f326(f326(f234(f925(x85655,a913)),x85654),x85653))
% 225.14/225.11 [9715]~P25(x97151,x97152,x97154,x97153)+~P105(f326(f326(f328(x97152),x97155),f326(f309(x97151,x97152,x97154),x97153)))+P105(f326(f326(f328(x97151),f326(f76(x97151,x97152,x97153,x97154),x97155)),x97156))+~P105(f326(f326(f234(f925(x97151,a913)),x97153),x97156))
% 225.14/225.11 [10090]~P70(x100902)+~E(f591(x100901,x100903,x100905,x100906,x100904,x100902),f592(x100901,x100903,x100905,x100906,x100904,x100902))+~P105(f326(f60(x100904),x100906))+E(f326(f326(f8(x100901,x100902),x100903),f326(f309(x100904,x100901,x100905),x100906)),f326(f326(f8(x100904,x100902),f326(f72(x100901,x100902,x100904,x100903),x100905)),x100906))
% 225.14/225.11 [10119]~P70(x101196)+E(f326(x101191,f591(x101192,x101193,x101191,x101194,x101195,x101196)),f326(x101191,f592(x101192,x101193,x101191,x101194,x101195,x101196)))+E(f326(f326(f8(x101192,x101196),x101193),f326(f309(x101195,x101192,x101191),x101194)),f326(f326(f8(x101195,x101196),f326(f72(x101192,x101196,x101195,x101193),x101191)),x101194))+~P105(f326(f60(x101195),x101194))
% 225.14/225.11 [10170]~P70(x101702)+~E(f326(x101703,f326(x101705,f592(x101701,x101703,x101705,x101706,x101704,x101702))),f2(x101702))+~P105(f326(f60(x101704),x101706))+E(f326(f326(f8(x101701,x101702),x101703),f326(f309(x101704,x101701,x101705),x101706)),f326(f326(f8(x101704,x101702),f326(f72(x101701,x101702,x101704,x101703),x101705)),x101706))
% 225.14/225.11 [10228]~P70(x102282)+~P105(f326(f60(x102284),x102286))+E(f326(f326(f8(x102281,x102282),x102283),f326(f309(x102284,x102281,x102285),x102286)),f326(f326(f8(x102284,x102282),f326(f72(x102281,x102282,x102284,x102283),x102285)),x102286))+P105(f326(f326(f328(x102284),f592(x102281,x102283,x102285,x102286,x102284,x102282)),x102286))
% 225.14/225.11 [10229]~P70(x102292)+~P105(f326(f60(x102294),x102296))+E(f326(f326(f8(x102291,x102292),x102293),f326(f309(x102294,x102291,x102295),x102296)),f326(f326(f8(x102294,x102292),f326(f72(x102291,x102292,x102294,x102293),x102295)),x102296))+P105(f326(f326(f328(x102294),f591(x102291,x102293,x102295,x102296,x102294,x102292)),x102296))
% 225.14/225.11 [10356]~P69(x103561)+~P105(f326(f60(x103562),x103566))+E(f326(f326(f326(f64(x103561,x103562,f80(x103561)),f326(f326(f20(x103562,f925(x103563,a913),x103561),f326(f326(f9(x103562,x103561,f925(f925(x103563,a913),x103561)),f326(f326(f10(f925(x103563,x103561),f925(x103561,f925(f925(x103563,a913),x103561)),x103562),f64(x103561,x103563,f80(x103561))),x103564)),f77(x103561))),x103565)),f77(x103561)),x103566),f326(f326(f326(f64(x103561,f924(x103562,x103563),f80(x103561)),f326(f256(x103562,x103563,x103561),x103564)),f77(x103561)),f326(f326(f253(x103562,x103563),x103566),x103565)))+P105(f326(f326(f328(x103562),f544(x103564,x103565,x103563,x103566,x103562,x103561)),x103566))
% 225.14/225.11 [10378]~P69(x103781)+~P105(f326(f60(x103782),x103786))+E(f326(f326(f326(f64(x103781,x103782,f80(x103781)),f326(f326(f20(x103782,f925(x103783,a913),x103781),f326(f326(f9(x103782,x103781,f925(f925(x103783,a913),x103781)),f326(f326(f10(f925(x103783,x103781),f925(x103781,f925(f925(x103783,a913),x103781)),x103782),f64(x103781,x103783,f80(x103781))),x103784)),f77(x103781))),x103785)),f77(x103781)),x103786),f326(f326(f326(f64(x103781,f924(x103782,x103783),f80(x103781)),f326(f256(x103782,x103783,x103781),x103784)),f77(x103781)),f326(f326(f253(x103782,x103783),x103786),x103785)))+~P105(f326(f60(x103783),f326(x103785,f544(x103784,x103785,x103783,x103786,x103782,x103781))))
% 225.14/225.11 [8476]~P20(x84762,x84765,x84766,x84761)+~P105(f326(f60(x84762),x84764))+~P105(f326(f60(x84762),x84763))+E(f326(x84761,f326(f326(f101(f925(x84762,a913)),x84763),x84764)),f326(f72(x84765,x84765,x84765,f326(x84761,x84763)),f326(x84761,x84764)))
% 225.14/225.11 [8691]~P5(x86911)+P105(f326(f326(f234(x86911),f326(x86912,x86913)),x86914))+~P105(f326(f326(f328(x86915),x86913),x86916))+~P105(f326(f326(f234(x86911),f326(f326(f38(x86915,x86911),x86916),x86912)),x86914))
% 225.14/225.11 [9120]~P25(x91202,x91201,x91203,x91206)+E(f326(f326(f3(f925(x91201,a913)),f326(f309(x91202,x91201,x91203),x91204)),f326(f309(x91202,x91201,x91203),x91205)),f326(f309(x91202,x91201,x91203),f326(f326(f3(f925(x91202,a913)),x91204),x91205)))+~P105(f326(f326(f234(f925(x91202,a913)),x91205),x91206))+~P105(f326(f326(f234(f925(x91202,a913)),x91204),x91206))
% 225.14/225.11 [9121]~P25(x91212,x91211,x91213,x91216)+E(f326(f326(f102(f925(x91211,a913)),f326(f309(x91212,x91211,x91213),x91214)),f326(f309(x91212,x91211,x91213),x91215)),f326(f309(x91212,x91211,x91213),f326(f326(f102(f925(x91212,a913)),x91214),x91215)))+~P105(f326(f326(f234(f925(x91212,a913)),x91215),x91216))+~P105(f326(f326(f234(f925(x91212,a913)),x91214),x91216))
% 225.14/225.11 [9377]E(x93771,x93772)+~P54(x93773,x93774,x93775)+~P105(f326(f326(f328(f924(x93773,x93774)),f326(f326(f251(x93773,x93774),x93776),x93772)),x93775))+~P105(f326(f326(f328(f924(x93773,x93774)),f326(f326(f251(x93773,x93774),x93776),x93771)),x93775))
% 225.14/225.11 [10166]~P66(x101661)+~E(f326(x101663,f619(x101664,x101666,x101663,x101665,x101662,x101661)),f326(x101666,f619(x101664,x101666,x101663,x101665,x101662,x101661)))+~P105(f326(f60(x101662),x101665))+E(f326(f326(f326(f64(x101661,x101662,f80(x101661)),x101663),x101664),x101665),f326(f326(f326(f64(x101661,x101662,f80(x101661)),x101666),x101664),x101665))
% 225.14/225.11 [10226]~P66(x102261)+~P105(f326(f60(x102262),x102265))+E(f326(f326(f326(f64(x102261,x102262,f80(x102261)),x102263),x102264),x102265),f326(f326(f326(f64(x102261,x102262,f80(x102261)),x102266),x102264),x102265))+P105(f326(f326(f328(x102262),f619(x102264,x102263,x102266,x102265,x102262,x102261)),x102265))
% 225.14/225.11 [8918]~P66(x89181)+~P105(f326(f60(x89182),x89186))+P105(f326(f326(f328(x89182),x89185),x89186))+E(f326(f326(f326(f64(x89181,x89182,f80(x89181)),x89183),x89184),f326(f326(f308(x89182),x89185),x89186)),f326(f326(f80(x89181),f326(x89183,x89185)),f326(f326(f326(f64(x89181,x89182,f80(x89181)),x89183),x89184),x89186)))
% 225.14/225.11 [8971]~P8(x89711,x89716,x89713)+~P11(x89711,f925(x89712,a913),x89713,x89715)+~P105(f326(f326(f328(x89711),x89714),x89716))+E(f326(f326(f38(x89711,f925(x89712,a913)),f326(f284(x89711,x89711,x89713),f326(f326(f308(x89711),x89714),f188(f925(x89711,a913))))),x89715),f326(x89715,x89714))
% 225.14/225.11 [9097]~P16(x90973,x90974,x90971)+~P105(f326(f60(x90973),x90976))+~P105(f326(f326(f328(x90973),x90972),x90976))+E(f326(f326(x90971,x90972),f326(f326(f63(x90973,x90974,x90971),x90975),f326(f326(f3(f925(x90973,a913)),x90976),f326(f326(f308(x90973),x90972),f188(f925(x90973,a913)))))),f326(f326(f63(x90973,x90974,x90971),x90975),x90976))
% 225.14/225.11 [9387]~P19(x93873,x93871,x93876,x93872)+~P105(f326(f60(x93873),x93875))+~P105(f326(f60(x93873),x93874))+E(f326(f72(x93871,x93871,x93871,f326(x93872,f326(f326(f101(f925(x93873,a913)),x93874),x93875))),f326(x93872,f326(f326(f102(f925(x93873,a913)),x93874),x93875))),f326(f72(x93871,x93871,x93871,f326(x93872,x93874)),f326(x93872,x93875)))
% 225.14/225.11 [9738]~E(x97383,f326(f326(f159(x97381,x97382),x97385),x97386))+P105(f326(f326(f328(f924(f918(x97381),f918(x97381))),f326(f326(f251(f918(x97381),f918(x97381)),x97382),x97383)),f157(x97381,x97384)))+~P105(f326(f326(f235(a917),x97385),f326(f189(f918(x97381)),x97382)))+~P105(f326(f326(f328(f924(x97381,x97381)),f326(f326(f251(x97381,x97381),f326(f326(f164(x97381),x97382),x97385)),x97386)),x97384))
% 225.14/225.11 [10242]~P70(x102422)+~P105(f326(f60(x102421),x102426))+P105(f326(f326(f328(x102421),f547(x102424,x102425,x102423,x102426,x102421,x102422)),x102426))+E(f326(f326(f8(x102421,x102422),f326(f326(f20(x102421,f925(x102423,a913),x102422),f326(f326(f10(f925(x102423,x102422),f925(f925(x102423,a913),x102422),x102421),f8(x102423,x102422)),x102424)),x102425)),x102426),f326(f326(f8(f924(x102421,x102423),x102422),f326(f256(x102421,x102423,x102422),x102424)),f326(f326(f253(x102421,x102423),x102426),x102425)))
% 225.14/225.11 [10243]~P69(x102432)+~P105(f326(f60(x102431),x102436))+P105(f326(f326(f328(x102431),f548(x102434,x102435,x102433,x102436,x102431,x102432)),x102436))+E(f326(f326(f11(x102431,x102432),f326(f326(f20(x102431,f925(x102433,a913),x102432),f326(f326(f10(f925(x102433,x102432),f925(f925(x102433,a913),x102432),x102431),f11(x102433,x102432)),x102434)),x102435)),x102436),f326(f326(f11(f924(x102431,x102433),x102432),f326(f256(x102431,x102433,x102432),x102434)),f326(f326(f253(x102431,x102433),x102436),x102435)))
% 225.14/225.11 [10283]~P70(x102832)+~P105(f326(f60(x102831),x102836))+~P105(f326(f60(x102833),f326(x102835,f547(x102834,x102835,x102833,x102836,x102831,x102832))))+E(f326(f326(f8(x102831,x102832),f326(f326(f20(x102831,f925(x102833,a913),x102832),f326(f326(f10(f925(x102833,x102832),f925(f925(x102833,a913),x102832),x102831),f8(x102833,x102832)),x102834)),x102835)),x102836),f326(f326(f8(f924(x102831,x102833),x102832),f326(f256(x102831,x102833,x102832),x102834)),f326(f326(f253(x102831,x102833),x102836),x102835)))
% 225.14/225.11 [10284]~P69(x102842)+~P105(f326(f60(x102841),x102846))+~P105(f326(f60(x102843),f326(x102845,f548(x102844,x102845,x102843,x102846,x102841,x102842))))+E(f326(f326(f11(x102841,x102842),f326(f326(f20(x102841,f925(x102843,a913),x102842),f326(f326(f10(f925(x102843,x102842),f925(f925(x102843,a913),x102842),x102841),f11(x102843,x102842)),x102844)),x102845)),x102846),f326(f326(f11(f924(x102841,x102843),x102842),f326(f256(x102841,x102843,x102842),x102844)),f326(f326(f253(x102841,x102843),x102846),x102845)))
% 225.14/225.11 [10264]~P69(x102642)+~P105(f326(f60(x102641),x102646))+P105(f326(f326(f328(x102641),x102643),x102646))+E(f326(f326(f11(x102641,x102642),f326(f326(f9(x102641,x102642,x102642),f326(f326(f20(x102641,x102642,f925(x102642,x102642)),f326(f326(f10(a913,f925(x102642,f925(x102642,x102642)),x102641),f96(x102642)),f326(f326(f9(x102641,x102641,a913),a323),x102643))),x102644)),x102645)),x102646),f326(f326(f243(x102642),x102645),f326(f34(x102641),x102646)))
% 225.14/225.11 [10267]~P69(x102672)+~P105(f326(f60(x102671),x102676))+~P105(f326(f326(f328(x102671),x102673),x102676))+E(f326(f326(f11(x102671,x102672),f326(f326(f9(x102671,x102672,x102672),f326(f326(f20(x102671,x102672,f925(x102672,x102672)),f326(f326(f10(a913,f925(x102672,f925(x102672,x102672)),x102671),f96(x102672)),f326(f326(f9(x102671,x102671,a913),a323),x102673))),x102674)),x102675)),x102676),f326(f326(f80(x102672),f326(x102674,x102673)),f326(f326(f243(x102672),x102675),f326(f326(f3(a917),f326(f34(x102671),x102676)),f77(a917)))))
% 225.14/225.11 [10347]~P105(f326(f60(x103471),x103475))+~P105(f326(f60(x103472),x103473))+P105(f326(f326(f328(x103472),f561(x103476,x103474,x103473,x103472,x103475,x103471)),x103473))+E(f326(f326(f8(x103471,a917),f326(f326(f10(f925(x103472,a913),a917,x103471),f34(x103472)),f326(f326(f10(f925(x103472,a913),f925(x103472,a913),x103471),f261(x103472)),f326(f326(f10(f925(x103472,a913),f925(x103472,a913),x103471),f326(f20(x103472,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103472),a324),f326(f326(f9(x103472,f925(x103472,a913),a913),f328(x103472)),x103473)))),x103474)))),x103475),f326(f326(f80(a917),x103476),f326(f34(x103472),x103473)))
% 225.14/225.11 [10348]~P105(f326(f60(x103481),x103485))+~P105(f326(f60(x103482),x103483))+P105(f326(f326(f328(x103482),f562(x103486,x103484,x103483,x103482,x103485,x103481)),x103483))+E(f326(f326(f8(x103481,a917),f326(f326(f10(f925(x103482,a913),a917,x103481),f34(x103482)),f326(f326(f10(f925(x103482,a913),f925(x103482,a913),x103481),f261(x103482)),f326(f326(f10(f925(x103482,a913),f925(x103482,a913),x103481),f326(f20(x103482,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103482),a324),f326(f326(f9(x103482,f925(x103482,a913),a913),f328(x103482)),x103483)))),x103484)))),x103485),f326(f326(f8(x103482,a917),x103486),x103483))
% 225.14/225.11 [10393]~P105(f326(f60(x103932),x103933))+~P105(f326(f60(x103931),x103935))+~E(f326(f34(x103931),f326(f261(x103931),f326(f326(f20(x103931,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103931),a324),f326(f326(f9(x103931,f925(x103931,a913),a913),f328(x103931)),x103935))),f326(f326(f9(x103931,x103932,a913),x103934),f561(x103936,x103934,x103933,x103932,x103935,x103931))))),x103936)+E(f326(f326(f8(x103931,a917),f326(f326(f10(f925(x103932,a913),a917,x103931),f34(x103932)),f326(f326(f10(f925(x103932,a913),f925(x103932,a913),x103931),f261(x103932)),f326(f326(f10(f925(x103932,a913),f925(x103932,a913),x103931),f326(f20(x103932,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103932),a324),f326(f326(f9(x103932,f925(x103932,a913),a913),f328(x103932)),x103933)))),x103934)))),x103935),f326(f326(f80(a917),x103936),f326(f34(x103932),x103933)))
% 225.14/225.11 [10395]~P105(f326(f60(x103952),x103953))+~P105(f326(f60(x103951),x103955))+~E(f326(f34(x103951),f326(f261(x103951),f326(f326(f20(x103951,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103951),a324),f326(f326(f9(x103951,f925(x103951,a913),a913),f328(x103951)),x103955))),f326(f326(f9(x103951,x103952,a913),x103954),f562(x103956,x103954,x103953,x103952,x103955,x103951))))),f326(x103956,f562(x103956,x103954,x103953,x103952,x103955,x103951)))+E(f326(f326(f8(x103951,a917),f326(f326(f10(f925(x103952,a913),a917,x103951),f34(x103952)),f326(f326(f10(f925(x103952,a913),f925(x103952,a913),x103951),f261(x103952)),f326(f326(f10(f925(x103952,a913),f925(x103952,a913),x103951),f326(f20(x103952,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103952),a324),f326(f326(f9(x103952,f925(x103952,a913),a913),f328(x103952)),x103953)))),x103954)))),x103955),f326(f326(f8(x103952,a917),x103956),x103953))
% 225.14/225.11 [10015]E(x100151,x100152)+~P16(x100153,x100154,x100155)+~P105(f326(f65(x100153,x100154,x100155,x100156,x100157),x100152))+~P105(f326(f65(x100153,x100154,x100155,x100156,x100157),x100151))
% 225.14/225.11 [9814]P105(f326(x98141,x98142))+~P105(f326(f326(f328(x98147),x98142),f326(x98146,x98144)))+~P105(f326(x98141,f503(x98141,x98146,x98145,x98143,x98147)))+~P105(f326(f326(f328(x98143),x98144),x98145))
% 225.14/225.11 [10256]~P16(x102567,x102566,x102561)+E(f326(f326(x102561,x102562),f588(x102562,x102563,x102564,x102565,x102561,x102566,x102567)),x102563)+~P105(f326(f65(x102567,x102566,x102561,x102565,x102564),x102563))+~P105(f326(f326(f328(x102567),x102562),x102564))
% 225.14/225.11 [10325]~P16(x103251,x103252,x103253)+~P105(f326(f65(x103251,x103252,x103253,x103254,x103255),x103257))+P105(f326(f65(x103251,x103252,x103253,x103254,f326(f326(f3(f925(x103251,a913)),x103255),f326(f326(f308(x103251),x103256),f188(f925(x103251,a913))))),f588(x103256,x103257,x103255,x103254,x103253,x103252,x103251)))+~P105(f326(f326(f328(x103251),x103256),x103255))
% 225.14/225.11 [9458]P26(x94581,x94582,x94583,x94584,x94585)+~P26(x94581,x94582,x94583,x94586,x94587)+~E(f326(f309(x94581,x94582,x94583),x94584),x94585)+~P105(f326(f326(f234(f925(x94581,a913)),x94584),x94586))
% 225.14/225.11 [9706]~P26(x97061,x97062,x97063,x97065,x97067)+~P26(x97061,x97062,x97063,x97064,x97066)+P26(x97061,x97062,x97063,f326(f326(f101(f925(x97061,a913)),x97064),x97065),f326(f326(f101(f925(x97062,a913)),x97066),x97067))+~E(f326(f326(f102(f925(x97062,a913)),x97066),x97067),f188(f925(x97062,a913)))
% 225.14/225.11 [9711]~P66(x97111)+~P25(x97115,x97112,x97116,x97117)+~P105(f326(f60(x97115),x97117))+E(f326(f326(f326(f64(x97111,x97112,f80(x97111)),x97113),x97114),f326(f309(x97115,x97112,x97116),x97117)),f326(f326(f326(f64(x97111,x97115,f80(x97111)),f326(f72(x97112,x97111,x97115,x97113),x97116)),x97114),x97117))
% 225.14/225.11 [9837]~E(f326(f326(f308(x98371),x98375),x98376),f326(f326(f308(x98371),x98372),x98373))+~P105(f326(f65(x98371,x98371,x98374,x98372,x98373),x98377))+P105(f326(f326(f328(x98371),x98372),x98373))+P105(f326(f61(x98371,x98374,f326(f326(f308(x98371),x98375),x98376)),x98377))
% 225.14/225.11 [9922]P105(f326(x99221,x99222))+~P105(f326(f326(f328(x99223),x99222),f326(x99224,x99227)))+~P105(f326(f326(f328(x99226),x99227),x99225))+P105(f326(f326(f328(x99223),f503(x99221,x99224,x99225,x99226,x99223)),f326(f326(f38(x99226,f925(x99223,a913)),x99225),x99224)))
% 225.14/225.11 [9939]~P25(x99392,x99391,x99395,x99394)+~P25(x99391,x99393,x99396,f326(f309(x99392,x99391,x99395),x99394))+E(f326(f326(f72(x99391,x99392,x99393,f76(x99392,x99391,x99394,x99395)),f76(x99391,x99393,f326(f309(x99392,x99391,x99395),x99394),x99396)),x99397),f326(f76(x99392,x99393,x99394,f326(f72(x99391,x99393,x99392,x99396),x99395)),x99397))+~P105(f326(f326(f328(x99393),x99397),f326(f309(x99391,x99393,x99396),f326(f309(x99392,x99391,x99395),x99394))))
% 225.14/225.11 [9940]~P25(x99402,x99401,x99405,x99404)+~P25(x99401,x99403,x99406,f326(f309(x99402,x99401,x99405),x99404))+E(f326(f326(f72(x99401,x99402,x99403,f90(x99402,x99401,x99404,x99405)),f90(x99401,x99403,f326(f309(x99402,x99401,x99405),x99404),x99406)),x99407),f326(f90(x99402,x99403,x99404,f326(f72(x99401,x99403,x99402,x99406),x99405)),x99407))+~P105(f326(f326(f328(x99403),x99407),f326(f309(x99401,x99403,x99406),f326(f309(x99402,x99401,x99405),x99404))))
% 225.14/225.11 [10257]~P16(x102577,x102576,x102571)+E(f326(f326(x102571,x102572),f610(x102573,x102574,x102572,x102575,x102571,x102576,x102577)),x102573)+P105(f326(f326(f328(x102577),x102572),x102574))+~P105(f326(f65(x102577,x102576,x102571,x102575,f326(f326(f308(x102577),x102572),x102574)),x102573))
% 225.14/225.11 [10324]~P16(x103241,x103244,x103245)+P105(f326(f65(x103241,x103244,x103245,x103246,x103243),f610(x103247,x103243,x103242,x103246,x103245,x103244,x103241)))+P105(f326(f326(f328(x103241),x103242),x103243))+~P105(f326(f65(x103241,x103244,x103245,x103246,f326(f326(f308(x103241),x103242),x103243)),x103247))
% 225.14/225.11 [9997]E(x99971,f2(a1))+~P105(f326(f48(x99973,x99971),f326(f326(f251(a1,a1),x99975),x99977)))+~P105(f326(f48(x99972,x99971),f326(f326(f251(a1,a1),x99974),x99976)))+P105(f326(f48(f326(f326(f79(a1),x99972),x99973),x99971),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f79(a1),x99974),x99975)),f326(f326(f35(a1),f326(f326(f79(a1),x99976),x99977)),x99971))),f44(a1,f326(f326(f79(a1),x99976),x99977),x99971))))
% 225.14/225.11 [9999]~P105(f326(f326(f235(a917),f2(a917)),x99993))+~P105(f326(f47(x99992,x99993),f326(f326(f251(a917,a917),x99995),x99997)))+~P105(f326(f47(x99991,x99993),f326(f326(f251(a917,a917),x99994),x99996)))+P105(f326(f47(f326(f326(f79(a917),x99991),x99992),x99993),f326(f326(f251(a917,a917),f326(f326(f79(a917),f326(f326(f79(a917),x99994),x99995)),f326(f326(f35(a917),f326(f326(f79(a917),x99996),x99997)),x99993))),f44(a917,f326(f326(f79(a917),x99996),x99997),x99993))))
% 225.14/225.11 [10392]~P70(x103922)+~P105(f326(f60(x103923),x103925))+~P105(f326(f60(x103921),x103927))+E(f326(f326(f8(x103921,x103922),f326(f326(f20(x103921,f925(x103923,a913),x103922),f326(f326(f10(f925(x103923,x103922),f925(f925(x103923,a913),x103922),x103921),f8(x103923,x103922)),x103924)),f326(f326(f10(f925(x103923,a913),f925(x103923,a913),x103921),f261(x103923)),f326(f326(f10(f925(x103923,a913),f925(x103923,a913),x103921),f326(f20(x103923,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103923),a324),f326(f326(f9(x103923,f925(x103923,a913),a913),f328(x103923)),x103925)))),x103926)))),x103927),f326(f326(f8(x103923,x103922),f326(f326(f20(x103923,f925(x103921,a913),x103922),f326(f326(f10(f925(x103921,x103922),f925(f925(x103921,a913),x103922),x103923),f8(x103921,x103922)),f326(f9(x103921,x103923,x103922),x103924))),f326(f326(f10(f925(x103921,a913),f925(x103921,a913),x103923),f261(x103921)),f326(f326(f10(f925(x103921,a913),f925(x103921,a913),x103923),f326(f20(x103921,a913,a913),f326(f326(f10(a913,f925(a913,a913),x103921),a324),f326(f326(f9(x103921,f925(x103921,a913),a913),f328(x103921)),x103927)))),f326(f9(x103921,x103923,a913),x103926))))),x103925))
% 225.14/225.11 [10345]~P21(x103458,x103457,x103456,x103455,x103451)+~E(f326(x103452,f859(x103454,x103452,x103453,x103451,x103455,x103456,x103457)),f326(x103454,f859(x103454,x103452,x103453,x103451,x103455,x103456,x103457)))+E(f326(f326(x103451,x103452),x103453),f326(f326(x103451,x103454),x103453))+~P105(f326(f60(x103457),x103453))
% 225.14/225.11 [9873]~P22(x98737,x98736,x98731,x98738,x98732,x98734)+E(f326(f326(x98731,f326(x98732,x98733)),f326(x98734,x98735)),f326(x98734,x98735))+~P105(f326(f60(x98736),x98735))+~P105(f326(f326(f328(x98736),x98733),x98735))
% 225.14/225.11 [9878]~P12(x98786,x98781,x98782,x98788,x98783,x98784)+~P8(x98786,x98787,x98788)+P11(x98781,x98782,x98783,f326(x98784,x98785))+~P105(f326(f326(f328(x98786),x98785),x98787))
% 225.14/225.11 [10363]~P21(x103638,x103635,x103637,x103636,x103631)+E(f326(f326(x103631,x103632),x103633),f326(f326(x103631,x103634),x103633))+~P105(f326(f60(x103635),x103633))+P105(f326(f326(f328(x103635),f859(x103632,x103634,x103633,x103631,x103636,x103637,x103635)),x103633))
% 225.14/225.11 [10444]~P105(f326(f326(x104441,x104446),x104445))+P105(f326(f326(x104441,f844(x104441,x104444,x104445,x104446,x104443,x104442,x104447,x104448)),f849(x104441,x104444,x104445,x104446,x104443,x104442,x104447,x104448)))+P105(f326(f326(x104441,x104442),x104443))+~P105(f326(f326(f328(f924(f924(x104448,x104447),f924(x104448,x104447))),f326(f326(f251(f924(x104448,x104447),f924(x104448,x104447)),f326(f326(f251(x104448,x104447),x104442),x104443)),f326(f326(f251(x104448,x104447),x104446),x104445))),f306(f924(x104448,x104447),x104444)))
% 225.14/225.11 [10445]~P105(f326(f326(x104451,x104456),x104455))+P105(f326(f326(x104451,f838(x104451,x104454,x104453,x104452,x104455,x104456,x104457,x104458)),f839(x104451,x104454,x104453,x104452,x104455,x104456,x104457,x104458)))+P105(f326(f326(x104451,x104452),x104453))+~P105(f326(f326(f328(f924(f924(x104458,x104457),f924(x104458,x104457))),f326(f326(f251(f924(x104458,x104457),f924(x104458,x104457)),f326(f326(f251(x104458,x104457),x104456),x104455)),f326(f326(f251(x104458,x104457),x104452),x104453))),f306(f924(x104458,x104457),x104454)))
% 225.14/225.11 [10455]~P105(f326(f326(x104551,f845(x104551,x104556,x104555,x104554,x104553,x104552,x104557,x104558)),f848(x104551,x104556,x104555,x104554,x104553,x104552,x104557,x104558)))+P105(f326(f326(x104551,x104552),x104553))+~P105(f326(f326(x104551,x104554),x104555))+~P105(f326(f326(f328(f924(f924(x104558,x104557),f924(x104558,x104557))),f326(f326(f251(f924(x104558,x104557),f924(x104558,x104557)),f326(f326(f251(x104558,x104557),x104552),x104553)),f326(f326(f251(x104558,x104557),x104554),x104555))),f306(f924(x104558,x104557),x104556)))
% 225.14/225.11 [10456]~P105(f326(f326(x104561,f840(x104561,x104566,x104563,x104562,x104565,x104564,x104567,x104568)),f841(x104561,x104566,x104563,x104562,x104565,x104564,x104567,x104568)))+P105(f326(f326(x104561,x104562),x104563))+~P105(f326(f326(x104561,x104564),x104565))+~P105(f326(f326(f328(f924(f924(x104568,x104567),f924(x104568,x104567))),f326(f326(f251(f924(x104568,x104567),f924(x104568,x104567)),f326(f326(f251(x104568,x104567),x104564),x104565)),f326(f326(f251(x104568,x104567),x104562),x104563))),f306(f924(x104568,x104567),x104566)))
% 225.14/225.11 [10469]~P105(f326(f326(x104691,x104696),x104697))+P105(f326(f326(x104691,x104692),x104693))+P105(f326(f326(f328(f924(f924(x104694,x104695),f924(x104694,x104695))),f326(f326(f251(f924(x104694,x104695),f924(x104694,x104695)),f326(f326(f251(x104694,x104695),x104696),x104697)),f326(f326(f251(x104694,x104695),f838(x104691,x104698,x104693,x104692,x104697,x104696,x104695,x104694)),f839(x104691,x104698,x104693,x104692,x104697,x104696,x104695,x104694)))),f306(f924(x104694,x104695),x104698)))+~P105(f326(f326(f328(f924(f924(x104694,x104695),f924(x104694,x104695))),f326(f326(f251(f924(x104694,x104695),f924(x104694,x104695)),f326(f326(f251(x104694,x104695),x104696),x104697)),f326(f326(f251(x104694,x104695),x104692),x104693))),f306(f924(x104694,x104695),x104698)))
% 225.14/225.11 [10471]~P105(f326(f326(x104711,x104718),x104717))+P105(f326(f326(x104711,x104712),x104713))+P105(f326(f326(f328(f924(f924(x104714,x104715),f924(x104714,x104715))),f326(f326(f251(f924(x104714,x104715),f924(x104714,x104715)),f326(f326(f251(x104714,x104715),f844(x104711,x104716,x104717,x104718,x104713,x104712,x104715,x104714)),f849(x104711,x104716,x104717,x104718,x104713,x104712,x104715,x104714))),f326(f326(f251(x104714,x104715),x104718),x104717))),f306(f924(x104714,x104715),x104716)))+~P105(f326(f326(f328(f924(f924(x104714,x104715),f924(x104714,x104715))),f326(f326(f251(f924(x104714,x104715),f924(x104714,x104715)),f326(f326(f251(x104714,x104715),x104712),x104713)),f326(f326(f251(x104714,x104715),x104718),x104717))),f306(f924(x104714,x104715),x104716)))
% 225.14/225.11 [9485]~P19(x94857,x94851,x94858,x94853)+~P105(f326(f60(x94857),x94855))+~P105(f326(f60(x94857),x94854))+E(f326(f72(x94851,x94851,x94852,f326(x94853,x94854)),f326(f72(x94851,x94851,x94852,f326(x94853,x94855)),x94856)),f326(f72(x94851,x94851,x94852,f326(x94853,x94855)),f326(f72(x94851,x94851,x94852,f326(x94853,x94854)),x94856)))
% 225.14/225.11 [9494]~P34(x94941,x94942,x94943,x94944,x94947)+P34(x94941,x94942,x94943,f326(f326(f159(x94941,x94944),x94945),x94946),f326(f326(f159(x94942,x94947),x94945),x94948))+~P105(f326(f326(x94943,x94946),x94948))+~P105(f326(f326(f235(a917),x94945),f326(f189(f918(x94941)),x94944)))
% 225.14/225.11 [9495]~P34(x94951,x94952,x94953,x94954,x94957)+P34(x94951,x94952,x94953,f326(f326(f159(x94951,x94954),x94955),x94956),f326(f326(f159(x94952,x94957),x94955),x94958))+~P105(f326(f326(x94953,x94956),x94958))+~P105(f326(f326(f235(a917),x94955),f326(f189(f918(x94952)),x94957)))
% 225.14/225.11 [9574]~P25(x95742,x95742,x95745,x95746)+~P21(x95743,x95742,x95747,x95748,x95741)+~P105(f326(f60(x95742),x95746))+E(f326(f326(x95741,f326(f72(x95742,x95743,x95742,x95744),x95745)),x95746),f326(f326(x95741,x95744),f326(f309(x95742,x95742,x95745),x95746)))
% 225.14/225.11 [9838]P26(x98381,x98382,x98383,x98384,x98385)+~P26(x98382,x98386,x98387,x98385,x98388)+~P26(x98381,x98386,f326(f72(x98382,x98386,x98381,x98387),x98383),x98384,x98388)+~P105(f326(f326(f234(f925(x98382,a913)),f326(f309(x98381,x98382,x98383),x98384)),x98385))
% 225.14/225.11 [9875]~P23(x98757,x98752,x98755,x98758,x98756,x98751)+~P105(f326(f60(x98752),x98754))+E(f326(x98751,f326(f326(f308(x98752),x98753),x98754)),f326(f326(x98755,f326(x98756,x98753)),f326(x98751,x98754)))+P105(f326(f326(f328(x98752),x98753),x98754))
% 225.14/225.11 [9887]~P22(x98876,x98875,x98871,x98877,x98878,x98872)+E(f326(f326(x98871,f326(x98872,x98873)),f326(x98872,x98874)),f326(x98872,x98874))+~P105(f326(f60(x98875),x98874))+~P105(f326(f326(f234(f925(x98875,a913)),x98873),x98874))
% 225.14/225.11 [10390]P24(x103908,x103907,f326(f326(f308(f916(x103908)),f91(x103908,x103904,x103905,x103903)),f188(f925(f916(x103908),a913))))+~P24(x103908,x103907,f326(f326(f308(f916(x103908)),f91(x103908,x103906,x103905,x103901)),f188(f925(f916(x103908),a913))))+~P105(f326(f326(x103906,x103902),f893(x103903,x103904,x103901,x103905,x103906,x103907,x103908)))+P105(f326(f326(x103901,x103902),f903(x103903,x103904,x103901,x103905,x103906,x103907,x103908)))
% 225.14/225.11 [9472]P105(f326(f326(f328(f924(f918(x94721),f918(x94721))),f326(f326(f251(f918(x94721),f918(x94721)),x94722),x94723)),f157(x94721,x94724)))+~E(x94723,f326(f326(f134(x94721),x94725),f326(f326(f151(x94721),x94726),x94727)))+~E(x94722,f326(f326(f134(x94721),x94725),f326(f326(f151(x94721),x94728),x94727)))+~P105(f326(f326(f328(f924(x94721,x94721)),f326(f326(f251(x94721,x94721),x94728),x94726)),x94724))
% 225.14/225.11 [9881]~P22(x98816,x98812,x98815,x98817,x98818,x98811)+~P105(f326(f60(x98812),x98814))+~P105(f326(f60(x98812),x98813))+E(f326(x98811,f326(f326(f101(f925(x98812,a913)),x98813),x98814)),f326(f326(x98815,f326(x98811,x98813)),f326(x98811,x98814)))
% 225.14/225.11 [10434]~P25(x104344,x104342,x104345,x104348)+E(f326(f326(f39(x104341,f925(x104342,a913)),x104343),f326(f326(f10(f925(x104344,a913),f925(x104342,a913),x104341),f309(x104344,x104342,x104345)),x104346)),f326(f309(x104344,x104342,x104345),f326(f326(f39(x104341,f925(x104344,a913)),x104343),x104346)))+~P105(f326(f326(f328(x104341),x104347),x104343))+P105(f326(f326(f328(x104341),f530(x104347,x104346,x104343,x104341,x104348,x104345,x104342,x104344)),x104343))
% 225.14/225.11 [10460]~P25(x104604,x104602,x104605,x104607)+E(f326(f326(f39(x104601,f925(x104602,a913)),x104603),f326(f326(f10(f925(x104604,a913),f925(x104602,a913),x104601),f309(x104604,x104602,x104605)),x104606)),f326(f309(x104604,x104602,x104605),f326(f326(f39(x104601,f925(x104604,a913)),x104603),x104606)))+~P105(f326(f326(f328(x104601),x104608),x104603))+~P105(f326(f326(f234(f925(x104604,a913)),f326(x104606,f530(x104608,x104606,x104603,x104601,x104607,x104605,x104602,x104604))),x104607))
% 225.14/225.11 [10472]~P105(f326(f326(x104721,x104728),x104727))+P105(f326(f326(x104721,x104722),x104723))+~P105(f326(f326(f328(f924(f924(x104724,x104725),f924(x104724,x104725))),f326(f326(f251(f924(x104724,x104725),f924(x104724,x104725)),f326(f326(f251(x104724,x104725),x104722),x104723)),f326(f326(f251(x104724,x104725),x104728),x104727))),f306(f924(x104724,x104725),x104726)))+P105(f326(f326(f328(f924(f924(x104724,x104725),f924(x104724,x104725))),f326(f326(f251(f924(x104724,x104725),f924(x104724,x104725)),f326(f326(f251(x104724,x104725),f845(x104721,x104726,x104727,x104728,x104723,x104722,x104725,x104724)),f848(x104721,x104726,x104727,x104728,x104723,x104722,x104725,x104724))),f326(f326(f251(x104724,x104725),f844(x104721,x104726,x104727,x104728,x104723,x104722,x104725,x104724)),f849(x104721,x104726,x104727,x104728,x104723,x104722,x104725,x104724)))),x104726))
% 225.14/225.11 [10473]~P105(f326(f326(x104731,x104738),x104737))+P105(f326(f326(x104731,x104732),x104733))+~P105(f326(f326(f328(f924(f924(x104734,x104735),f924(x104734,x104735))),f326(f326(f251(f924(x104734,x104735),f924(x104734,x104735)),f326(f326(f251(x104734,x104735),x104738),x104737)),f326(f326(f251(x104734,x104735),x104732),x104733))),f306(f924(x104734,x104735),x104736)))+P105(f326(f326(f328(f924(f924(x104734,x104735),f924(x104734,x104735))),f326(f326(f251(f924(x104734,x104735),f924(x104734,x104735)),f326(f326(f251(x104734,x104735),f838(x104731,x104736,x104733,x104732,x104737,x104738,x104735,x104734)),f839(x104731,x104736,x104733,x104732,x104737,x104738,x104735,x104734))),f326(f326(f251(x104734,x104735),f840(x104731,x104736,x104733,x104732,x104737,x104738,x104735,x104734)),f841(x104731,x104736,x104733,x104732,x104737,x104738,x104735,x104734)))),x104736))
% 225.14/225.11 [9949]~P23(x99497,x99495,x99491,x99498,x99492,x99494)+~P105(f326(f60(x99495),x99496))+~P105(f326(f326(f328(x99495),x99493),x99496))+E(f326(f326(x99491,f326(x99492,x99493)),f326(x99494,f326(f326(f3(f925(x99495,a913)),x99496),f326(f326(f308(x99495),x99493),f188(f925(x99495,a913)))))),f326(x99494,x99496))
% 225.14/225.11 [9957]~P23(x99576,x99573,x99571,x99577,x99578,x99572)+~P105(f326(f60(x99573),x99575))+~P105(f326(f60(x99573),x99574))+E(f326(f326(x99571,f326(x99572,f326(f326(f101(f925(x99573,a913)),x99574),x99575))),f326(x99572,f326(f326(f102(f925(x99573,a913)),x99574),x99575))),f326(f326(x99571,f326(x99572,x99574)),f326(x99572,x99575)))
% 225.14/225.11 [10039]P42(x100391,x100392,x100393,x100394,x100395,f326(f326(x100393,x100396),x100397))+~P42(x100391,x100392,x100393,x100394,f326(f326(f3(f925(x100391,a913)),x100395),f326(f326(f308(x100391),x100398),f188(f925(x100391,a913)))),x100399)+~E(f326(f326(x100393,x100396),x100397),f326(f326(x100393,x100398),x100399))+~P105(f326(f326(f328(x100391),x100398),x100395))
% 225.14/225.11 [9981]~P12(x99816,x99817,x99818,x99819,x998110,x99811)+E(f326(f326(x99811,x99812),x99813),f326(f326(x99811,x99814),x99815))+~P105(f326(f326(f328(f924(x99817,x99817)),f326(f326(f251(x99817,x99817),x99813),x99815)),x998110))+~P105(f326(f326(f328(f924(x99816,x99816)),f326(f326(f251(x99816,x99816),x99812),x99814)),x99819))
% 225.14/225.11 [9578]~P99(x95782)+E(x95781,f188(f925(x95782,a913)))+~P105(f326(f60(x95782),x95781))+P105(f326(f326(f328(x95782),f12(x95782,x95781)),x95781))+~P105(f326(f326(f328(x95782),f326(f326(f101(x95782),f430(x95781,x95782)),f431(x95781,x95782))),f326(f326(f308(x95782),f430(x95781,x95782)),f326(f326(f308(x95782),f431(x95781,x95782)),f188(f925(x95782,a913))))))
% 225.14/225.11 [9579]~P99(x95792)+E(x95791,f188(f925(x95792,a913)))+~P105(f326(f60(x95792),x95791))+P105(f326(f326(f328(x95792),f13(x95792,x95791)),x95791))+~P105(f326(f326(f328(x95792),f326(f326(f102(x95792),f459(x95791,x95792)),f461(x95791,x95792))),f326(f326(f308(x95792),f459(x95791,x95792)),f326(f326(f308(x95792),f461(x95791,x95792)),f188(f925(x95792,a913))))))
% 225.14/225.11 [9610]~P66(x96102)+E(x96101,f188(f925(x96102,a913)))+~P105(f326(f60(x96102),x96101))+P105(f326(f326(f328(x96102),f326(f62(x96102,f80(x96102)),x96101)),x96101))+~P105(f326(f326(f328(x96102),f326(f326(f80(x96102),f502(x96101,x96102)),f518(x96101,x96102))),f326(f326(f308(x96102),f502(x96101,x96102)),f326(f326(f308(x96102),f518(x96101,x96102)),f188(f925(x96102,a913))))))
% 225.14/225.11 [9615]~P108(x96152)+E(x96151,f188(f925(x96152,a913)))+~P105(f326(f60(x96152),x96151))+P105(f326(f326(f328(x96152),f14(x96152,f238(x96152),x96151)),x96151))+~P105(f326(f326(f328(x96152),f326(f326(f238(x96152),f733(x96151,x96152)),f743(x96151,x96152))),f326(f326(f308(x96152),f733(x96151,x96152)),f326(f326(f308(x96152),f743(x96151,x96152)),f188(f925(x96152,a913))))))
% 225.14/225.11 [9616]~P108(x96162)+E(x96161,f188(f925(x96162,a913)))+~P105(f326(f60(x96162),x96161))+P105(f326(f326(f328(x96162),f15(x96162,f233(x96162),x96161)),x96161))+~P105(f326(f326(f328(x96162),f326(f326(f233(x96162),f874(x96161,x96162)),f876(x96161,x96162))),f326(f326(f308(x96162),f874(x96161,x96162)),f326(f326(f308(x96162),f876(x96161,x96162)),f188(f925(x96162,a913))))))
% 225.14/225.11 [6732]~P86(x67322)+E(x67321,f2(x67322))+~E(f326(f326(f79(x67322),x67323),x67321),f2(x67322))+~P105(f326(f326(f234(x67322),f2(x67322)),x67323))+~P105(f326(f326(f234(x67322),f2(x67322)),x67321))
% 225.14/225.11 [6733]~P86(x67332)+E(x67331,f2(x67332))+~E(f326(f326(f79(x67332),x67331),x67333),f2(x67332))+~P105(f326(f326(f234(x67332),f2(x67332)),x67333))+~P105(f326(f326(f234(x67332),f2(x67332)),x67331))
% 225.14/225.11 [7267]~P108(x72672)+~P13(x72672,x72671)+E(x72671,f113(x72672))+~P105(f326(f326(f328(x72672),x72673),f326(f172(x72672),f708(x72671,x72672))))+P105(f326(f326(f234(x72672),f728(x72671,x72672)),x72673))
% 225.14/225.11 [7438]~P108(x74381)+E(f17(x74381,x74382),x74383)+~P105(f326(f60(x74381),x74382))+~P105(f326(f326(f234(x74381),x74383),f888(x74383,x74382,x74381)))+~P105(f326(f326(f328(x74381),x74383),x74382))
% 225.14/225.11 [7471]~P108(x74711)+~P13(x74711,x74712)+~P13(x74711,x74713)+P13(x74711,f326(f326(f134(x74711),x74712),x74713))+P105(f326(f326(f328(x74711),f715(x74713,x74712,x74711)),f326(f172(x74711),x74712)))
% 225.14/225.11 [7472]~P108(x74721)+~P13(x74721,x74722)+~P13(x74721,x74723)+P13(x74721,f326(f326(f134(x74721),x74722),x74723))+P105(f326(f326(f328(x74721),f716(x74723,x74722,x74721)),f326(f172(x74721),x74723)))
% 225.14/225.11 [7536]~P108(x75361)+E(f16(x75361,x75362),x75363)+~P105(f326(f60(x75361),x75362))+P105(f326(f326(f328(x75361),f889(x75363,x75362,x75361)),x75362))+~P105(f326(f326(f328(x75361),x75363),x75362))
% 225.14/225.11 [7537]~P108(x75371)+E(f17(x75371,x75372),x75373)+~P105(f326(f60(x75371),x75372))+P105(f326(f326(f328(x75371),f888(x75373,x75372,x75371)),x75372))+~P105(f326(f326(f328(x75371),x75373),x75372))
% 225.14/225.11 [8106]~P108(x81061)+E(f16(x81061,x81062),x81063)+~P105(f326(f60(x81061),x81062))+~P105(f326(f326(f328(x81061),x81063),x81062))+~P105(f326(f326(f234(x81061),f889(x81063,x81062,x81061)),x81063))
% 225.14/225.11 [8424]~P108(x84241)+~P13(x84241,x84242)+~P13(x84241,x84243)+P13(x84241,f326(f326(f134(x84241),x84242),x84243))+~P105(f326(f326(f234(x84241),f715(x84243,x84242,x84241)),f716(x84243,x84242,x84241)))
% 225.14/225.11 [9213]~P108(x92132)+E(x92131,f188(f925(x92132,a913)))+~E(f326(f326(f233(x92132),f326(x92133,f356(x92131,x92133,x92132))),f326(x92133,f361(x92131,x92133,x92132))),f326(x92133,f326(f326(f233(x92132),f356(x92131,x92133,x92132)),f361(x92131,x92133,x92132))))+E(f16(x92132,f326(f309(x92132,x92132,x92133),x92131)),f326(x92133,f16(x92132,x92131)))+~P105(f326(f60(x92132),x92131))
% 225.14/225.11 [9214]~P108(x92142)+E(x92141,f188(f925(x92142,a913)))+~E(f326(f326(f238(x92142),f326(x92143,f362(x92141,x92143,x92142))),f326(x92143,f363(x92141,x92143,x92142))),f326(x92143,f326(f326(f238(x92142),f362(x92141,x92143,x92142)),f363(x92141,x92143,x92142))))+E(f17(x92142,f326(f309(x92142,x92142,x92143),x92141)),f326(x92143,f17(x92142,x92141)))+~P105(f326(f60(x92142),x92141))
% 225.14/225.11 [9215]~P99(x92152)+E(x92151,f188(f925(x92152,a913)))+~E(f326(f326(f101(x92152),f326(x92153,f432(x92151,x92153,x92152))),f326(x92153,f433(x92151,x92153,x92152))),f326(x92153,f326(f326(f101(x92152),f432(x92151,x92153,x92152)),f433(x92151,x92153,x92152))))+E(f12(x92152,f326(f309(x92152,x92152,x92153),x92151)),f326(x92153,f12(x92152,x92151)))+~P105(f326(f60(x92152),x92151))
% 225.14/225.11 [9216]~P99(x92162)+E(x92161,f188(f925(x92162,a913)))+~E(f326(f326(f102(x92162),f326(x92163,f458(x92161,x92163,x92162))),f326(x92163,f462(x92161,x92163,x92162))),f326(x92163,f326(f326(f102(x92162),f458(x92161,x92163,x92162)),f462(x92161,x92163,x92162))))+E(f13(x92162,f326(f309(x92162,x92162,x92163),x92161)),f326(x92163,f13(x92162,x92161)))+~P105(f326(f60(x92162),x92161))
% 225.14/225.11 [9284]~P108(x92842)+E(x92841,f188(f925(x92842,a913)))+~E(f326(f326(f238(x92842),f326(x92843,f357(x92841,x92843,x92842))),f326(x92843,f360(x92841,x92843,x92842))),f326(x92843,f326(f326(f238(x92842),f357(x92841,x92843,x92842)),f360(x92841,x92843,x92842))))+E(f14(x92842,f238(x92842),f326(f309(x92842,x92842,x92843),x92841)),f326(x92843,f14(x92842,f238(x92842),x92841)))+~P105(f326(f60(x92842),x92841))
% 225.14/225.11 [9285]~P108(x92852)+E(x92851,f188(f925(x92852,a913)))+~E(f326(f326(f233(x92852),f326(x92853,f358(x92851,x92853,x92852))),f326(x92853,f359(x92851,x92853,x92852))),f326(x92853,f326(f326(f233(x92852),f358(x92851,x92853,x92852)),f359(x92851,x92853,x92852))))+E(f15(x92852,f233(x92852),f326(f309(x92852,x92852,x92853),x92851)),f326(x92853,f15(x92852,f233(x92852),x92851)))+~P105(f326(f60(x92852),x92851))
% 225.14/225.11 [6749]~P66(x67492)+E(x67491,f188(f925(x67492,a913)))+~P105(f326(f60(x67492),x67491))+E(f326(f62(x67492,f80(x67492)),f326(f326(f308(x67492),x67493),x67491)),f326(f326(f80(x67492),x67493),f326(f62(x67492,f80(x67492)),x67491)))+P105(f326(f326(f328(x67492),x67493),x67491))
% 225.14/225.11 [7273]~P108(x72732)+E(f326(f326(f238(x72732),f17(x72732,x72731)),f17(x72732,x72733)),f17(x72732,x72733))+E(x72731,f188(f925(x72732,a913)))+~P105(f326(f60(x72732),x72733))+~P105(f326(f326(f234(f925(x72732,a913)),x72731),x72733))
% 225.14/225.11 [7274]~P108(x72742)+E(f326(f326(f233(x72742),f16(x72742,x72741)),f16(x72742,x72743)),f16(x72742,x72743))+E(x72741,f188(f925(x72742,a913)))+~P105(f326(f60(x72742),x72743))+~P105(f326(f326(f234(f925(x72742,a913)),x72741),x72743))
% 225.14/225.11 [7275]~P99(x72752)+E(f326(f326(f101(x72752),f12(x72752,x72751)),f12(x72752,x72753)),f12(x72752,x72753))+E(x72751,f188(f925(x72752,a913)))+~P105(f326(f60(x72752),x72753))+~P105(f326(f326(f234(f925(x72752,a913)),x72751),x72753))
% 225.14/225.11 [7276]~P99(x72762)+E(f326(f326(f102(x72762),f13(x72762,x72761)),f13(x72762,x72763)),f13(x72762,x72763))+E(x72761,f188(f925(x72762,a913)))+~P105(f326(f60(x72762),x72763))+~P105(f326(f326(f234(f925(x72762,a913)),x72761),x72763))
% 225.14/225.11 [7584]~P108(x75842)+E(x75841,f188(f925(x75842,a913)))+~P105(f326(f60(x75842),x75843))+P105(f326(f326(f234(x75842),f16(x75842,x75841)),f16(x75842,x75843)))+~P105(f326(f326(f234(f925(x75842,a913)),x75841),x75843))
% 225.14/225.11 [7585]~P108(x75852)+E(x75851,f188(f925(x75852,a913)))+~P105(f326(f60(x75852),x75853))+P105(f326(f326(f234(x75852),f17(x75852,x75853)),f17(x75852,x75851)))+~P105(f326(f326(f234(f925(x75852,a913)),x75851),x75853))
% 225.14/225.11 [7639]~P108(x76391)+E(f16(x76391,x76392),x76393)+~P105(f326(f60(x76391),x76392))+~E(f326(f326(f3(f925(x76391,a913)),x76392),f326(f326(f308(x76391),x76393),f188(f925(x76391,a913)))),f188(f925(x76391,a913)))+~P105(f326(f326(f328(x76391),x76393),x76392))
% 225.14/225.11 [7640]~P108(x76401)+E(f17(x76401,x76402),x76403)+~P105(f326(f60(x76401),x76402))+~E(f326(f326(f3(f925(x76401,a913)),x76402),f326(f326(f308(x76401),x76403),f188(f925(x76401,a913)))),f188(f925(x76401,a913)))+~P105(f326(f326(f328(x76401),x76403),x76402))
% 225.14/225.11 [7641]~P99(x76411)+E(f12(x76411,x76412),x76413)+~P105(f326(f60(x76411),x76412))+~E(f326(f326(f3(f925(x76411,a913)),x76412),f326(f326(f308(x76411),x76413),f188(f925(x76411,a913)))),f188(f925(x76411,a913)))+~P105(f326(f326(f328(x76411),x76413),x76412))
% 225.14/225.11 [7642]~P99(x76421)+E(f13(x76421,x76422),x76423)+~P105(f326(f60(x76421),x76422))+~E(f326(f326(f3(f925(x76421,a913)),x76422),f326(f326(f308(x76421),x76423),f188(f925(x76421,a913)))),f188(f925(x76421,a913)))+~P105(f326(f326(f328(x76421),x76423),x76422))
% 225.14/225.11 [7736]~P108(x77361)+E(f14(x77361,f238(x77361),x77362),x77363)+~P105(f326(f60(x77361),x77362))+~E(f326(f326(f3(f925(x77361,a913)),x77362),f326(f326(f308(x77361),x77363),f188(f925(x77361,a913)))),f188(f925(x77361,a913)))+~P105(f326(f326(f328(x77361),x77363),x77362))
% 225.14/225.11 [7737]~P108(x77371)+E(f15(x77371,f233(x77371),x77372),x77373)+~P105(f326(f60(x77371),x77372))+~E(f326(f326(f3(f925(x77371,a913)),x77372),f326(f326(f308(x77371),x77373),f188(f925(x77371,a913)))),f188(f925(x77371,a913)))+~P105(f326(f326(f328(x77371),x77373),x77372))
% 225.14/225.11 [7772]~P108(x77722)+E(x77721,f188(f925(x77722,a913)))+~P105(f326(f60(x77722),x77721))+~P105(f326(f326(f234(x77722),x77723),f623(x77723,x77721,x77722)))+P105(f326(f326(f234(x77722),x77723),f326(f62(x77722,f238(x77722)),x77721)))
% 225.14/225.11 [7773]~P102(x77732)+E(x77731,f188(f925(x77732,a913)))+~P105(f326(f60(x77732),x77731))+~P105(f326(f326(f234(x77732),x77733),f448(x77733,x77731,x77732)))+P105(f326(f326(f234(x77732),x77733),f326(f62(x77732,f102(x77732)),x77731)))
% 225.14/225.11 [7774]~P108(x77742)+E(x77741,f188(f925(x77742,a913)))+~P105(f326(f60(x77742),x77741))+~P105(f326(f326(f235(x77742),x77743),f663(x77743,x77741,x77742)))+P105(f326(f326(f235(x77742),x77743),f326(f62(x77742,f238(x77742)),x77741)))
% 225.14/225.11 [7861]~P108(x78612)+E(x78611,f188(f925(x78612,a913)))+~P105(f326(f60(x78612),x78611))+P105(f326(f326(f328(x78612),f623(x78613,x78611,x78612)),x78611))+P105(f326(f326(f234(x78612),x78613),f326(f62(x78612,f238(x78612)),x78611)))
% 225.14/225.11 [7862]~P108(x78622)+E(x78621,f188(f925(x78622,a913)))+~P105(f326(f60(x78622),x78621))+P105(f326(f326(f328(x78622),f663(x78623,x78621,x78622)),x78621))+P105(f326(f326(f235(x78622),x78623),f326(f62(x78622,f238(x78622)),x78621)))
% 225.14/225.11 [7863]~P102(x78632)+E(x78631,f188(f925(x78632,a913)))+~P105(f326(f60(x78632),x78631))+P105(f326(f326(f328(x78632),f448(x78633,x78631,x78632)),x78631))+P105(f326(f326(f234(x78632),x78633),f326(f62(x78632,f102(x78632)),x78631)))
% 225.14/225.11 [7984]~P108(x79842)+E(x79841,f188(f925(x79842,a913)))+E(f326(f326(f238(x79842),f14(x79842,f238(x79842),x79841)),f14(x79842,f238(x79842),x79843)),f14(x79842,f238(x79842),x79843))+~P105(f326(f60(x79842),x79843))+~P105(f326(f326(f234(f925(x79842,a913)),x79841),x79843))
% 225.14/225.11 [7985]~P108(x79852)+E(x79851,f188(f925(x79852,a913)))+E(f326(f326(f233(x79852),f15(x79852,f233(x79852),x79851)),f15(x79852,f233(x79852),x79853)),f15(x79852,f233(x79852),x79853))+~P105(f326(f60(x79852),x79853))+~P105(f326(f326(f234(f925(x79852,a913)),x79851),x79853))
% 225.14/225.11 [8184]~E(f467(x81841,x81843,x81842),f468(x81841,x81843,x81842))+~E(f326(f34(x81842),f469(x81841,x81843,x81842)),x81841)+E(f326(f326(f80(a917),x81841),f326(f34(f925(x81842,a913)),x81843)),f326(f34(x81842),f36(f925(x81842,a913),x81843)))+~P105(f326(f60(x81842),f36(f925(x81842,a913),x81843)))+~P105(f326(f60(f925(x81842,a913)),x81843))
% 225.14/225.11 [8364]~P108(x83642)+E(x83641,f188(f925(x83642,a913)))+~P105(f326(f60(x83642),x83643))+P105(f326(f326(f234(x83642),f326(f62(x83642,f238(x83642)),x83643)),f326(f62(x83642,f238(x83642)),x83641)))+~P105(f326(f326(f234(f925(x83642,a913)),x83641),x83643))
% 225.14/225.11 [8661]~E(f467(x86611,x86613,x86612),f468(x86611,x86613,x86612))+E(f326(f326(f80(a917),x86611),f326(f34(f925(x86612,a913)),x86613)),f326(f34(x86612),f36(f925(x86612,a913),x86613)))+P105(f326(f326(f328(f925(x86612,a913)),f469(x86611,x86613,x86612)),x86613))+~P105(f326(f60(x86612),f36(f925(x86612,a913),x86613)))+~P105(f326(f60(f925(x86612,a913)),x86613))
% 225.14/225.11 [8687]~E(f326(f34(x86872),f469(x86871,x86873,x86872)),x86871)+E(f326(f326(f80(a917),x86871),f326(f34(f925(x86872,a913)),x86873)),f326(f34(x86872),f36(f925(x86872,a913),x86873)))+P105(f326(f326(f328(f925(x86872,a913)),f468(x86871,x86873,x86872)),x86873))+~P105(f326(f60(x86872),f36(f925(x86872,a913),x86873)))+~P105(f326(f60(f925(x86872,a913)),x86873))
% 225.14/225.11 [8688]~E(f326(f34(x86882),f469(x86881,x86883,x86882)),x86881)+E(f326(f326(f80(a917),x86881),f326(f34(f925(x86882,a913)),x86883)),f326(f34(x86882),f36(f925(x86882,a913),x86883)))+P105(f326(f326(f328(f925(x86882,a913)),f467(x86881,x86883,x86882)),x86883))+~P105(f326(f60(x86882),f36(f925(x86882,a913),x86883)))+~P105(f326(f60(f925(x86882,a913)),x86883))
% 225.14/225.11 [8713]~E(f326(f34(x87132),f469(x87131,x87133,x87132)),x87131)+~E(f326(f326(f102(f925(x87132,a913)),f468(x87131,x87133,x87132)),f467(x87131,x87133,x87132)),f188(f925(x87132,a913)))+E(f326(f326(f80(a917),x87131),f326(f34(f925(x87132,a913)),x87133)),f326(f34(x87132),f36(f925(x87132,a913),x87133)))+~P105(f326(f60(f925(x87132,a913)),x87133))+~P105(f326(f60(x87132),f36(f925(x87132,a913),x87133)))
% 225.14/225.11 [8977]E(f326(f326(f80(a917),x89771),f326(f34(f925(x89772,a913)),x89773)),f326(f34(x89772),f36(f925(x89772,a913),x89773)))+P105(f326(f326(f328(f925(x89772,a913)),f469(x89771,x89773,x89772)),x89773))+P105(f326(f326(f328(f925(x89772,a913)),f468(x89771,x89773,x89772)),x89773))+~P105(f326(f60(f925(x89772,a913)),x89773))+~P105(f326(f60(x89772),f36(f925(x89772,a913),x89773)))
% 225.14/225.11 [8978]E(f326(f326(f80(a917),x89781),f326(f34(f925(x89782,a913)),x89783)),f326(f34(x89782),f36(f925(x89782,a913),x89783)))+P105(f326(f326(f328(f925(x89782,a913)),f469(x89781,x89783,x89782)),x89783))+P105(f326(f326(f328(f925(x89782,a913)),f467(x89781,x89783,x89782)),x89783))+~P105(f326(f60(f925(x89782,a913)),x89783))+~P105(f326(f60(x89782),f36(f925(x89782,a913),x89783)))
% 225.14/225.11 [9004]~E(f326(f326(f102(f925(x90042,a913)),f468(x90041,x90043,x90042)),f467(x90041,x90043,x90042)),f188(f925(x90042,a913)))+E(f326(f326(f80(a917),x90041),f326(f34(f925(x90042,a913)),x90043)),f326(f34(x90042),f36(f925(x90042,a913),x90043)))+~P105(f326(f60(f925(x90042,a913)),x90043))+P105(f326(f326(f328(f925(x90042,a913)),f469(x90041,x90043,x90042)),x90043))+~P105(f326(f60(x90042),f36(f925(x90042,a913),x90043)))
% 225.14/225.11 [9259]~P95(x92592)+E(x92591,f188(f925(x92592,a913)))+~E(f326(f326(f80(x92592),f326(x92593,f364(x92591,x92593,x92592))),f326(x92593,f365(x92591,x92593,x92592))),f326(x92593,f326(f326(f80(x92592),f364(x92591,x92593,x92592)),f365(x92591,x92593,x92592))))+~P105(f326(f60(x92592),x92591))+E(f326(f62(x92592,f80(x92592)),f326(f309(x92592,x92592,x92593),x92591)),f326(x92593,f326(f62(x92592,f80(x92592)),x92591)))
% 225.14/225.11 [10200]P105(f326(f326(x102001,x102002),x102003))+P105(f326(f326(f235(a1),f394(x102001,x102003,x102002)),f395(x102001,x102003,x102002)))+P105(f326(f326(f234(a1),f395(x102001,x102003,x102002)),f2(a1)))+P105(f326(f326(x102001,f394(x102001,x102003,x102002)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f395(x102001,x102003,x102002))))+~P105(f326(f314(f924(a1,a1),a57),f326(f326(f251(a1,a1),x102002),x102003)))
% 225.14/225.11 [10206]P105(f326(f326(x102061,x102062),x102063))+P105(f326(f326(f234(a1),f389(x102061,x102063,x102062)),f2(a1)))+P105(f326(f326(x102061,f388(x102061,x102063,x102062)),f326(f326(f80(a1),f326(f104(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f389(x102061,x102063,x102062))))+P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f388(x102061,x102063,x102062)),f389(x102061,x102063,x102062))))+~P105(f326(f314(f924(a1,a1),a51),f326(f326(f251(a1,a1),x102062),x102063)))
% 225.14/225.11 [8155]~P113(x81551)+~P105(f326(f326(f234(x81551),x81552),f77(x81551)))+~P105(f326(f326(f234(x81551),f2(x81551)),x81552))+~P105(f326(f326(f234(x81551),f2(x81551)),x81553))+P105(f326(f326(f234(x81551),f326(f326(f80(x81551),x81552),x81553)),x81553))
% 225.14/225.11 [8156]~P113(x81561)+~P105(f326(f326(f234(x81561),x81563),f77(x81561)))+~P105(f326(f326(f234(x81561),f2(x81561)),x81563))+~P105(f326(f326(f234(x81561),f2(x81561)),x81562))+P105(f326(f326(f234(x81561),f326(f326(f80(x81561),x81562),x81563)),x81562))
% 225.14/225.11 [8509]~P108(x85092)+E(x85091,f188(f925(x85092,a913)))+~P105(f326(f60(x85092),x85091))+P105(f326(f326(f234(x85092),f624(x85093,x85091,x85092)),x85093))+~P105(f326(f326(f234(x85092),f326(f62(x85092,f238(x85092)),x85091)),x85093))
% 225.14/225.11 [8510]~P108(x85102)+E(x85101,f188(f925(x85102,a913)))+~P105(f326(f60(x85102),x85101))+P105(f326(f326(f328(x85102),f624(x85103,x85101,x85102)),x85101))+~P105(f326(f326(f234(x85102),f326(f62(x85102,f238(x85102)),x85101)),x85103))
% 225.14/225.11 [8511]~P108(x85112)+E(x85111,f188(f925(x85112,a913)))+~P105(f326(f60(x85112),x85111))+P105(f326(f326(f328(x85112),f644(x85113,x85111,x85112)),x85111))+~P105(f326(f326(f235(x85112),f326(f62(x85112,f238(x85112)),x85111)),x85113))
% 225.14/225.11 [8512]~P108(x85122)+E(x85121,f188(f925(x85122,a913)))+~P105(f326(f60(x85122),x85121))+P105(f326(f326(f235(x85122),f644(x85123,x85121,x85122)),x85123))+~P105(f326(f326(f235(x85122),f326(f62(x85122,f238(x85122)),x85121)),x85123))
% 225.14/225.11 [8597]~P105(f326(x85971,x85973))+P105(f326(x85971,f413(x85971,x85972)))+P105(f326(x85971,f403(x85971,x85972)))+~P105(f326(f326(f235(a1),f2(a1)),x85972))+P105(f326(x85971,f326(f326(f3(a1),f403(x85971,x85972)),f326(f326(f80(a1),f414(x85971,x85972)),x85972))))
% 225.14/225.11 [8814]~P105(f326(x88141,x88143))+P105(f326(x88141,f403(x88141,x88142)))+~P105(f326(f326(f235(a1),f2(a1)),x88142))+P105(f326(f326(f328(a1),f413(x88141,x88142)),f302(a1,f77(a1),x88142)))+P105(f326(x88141,f326(f326(f3(a1),f403(x88141,x88142)),f326(f326(f80(a1),f414(x88141,x88142)),x88142))))
% 225.14/225.11 [9026]~P105(f326(x90261,x90263))+~P105(f326(x90261,f403(x90261,x90262)))+P105(f326(x90261,f413(x90261,x90262)))+~P105(f326(f326(f235(a1),f2(a1)),x90262))+~P105(f326(x90261,f326(f326(f3(a1),f403(x90261,x90262)),f326(f326(f80(a1),f414(x90261,x90262)),x90262))))
% 225.14/225.11 [9150]~P105(f326(x91501,x91503))+~P105(f326(x91501,f403(x91501,x91502)))+~P105(f326(f326(f235(a1),f2(a1)),x91502))+P105(f326(f326(f328(a1),f413(x91501,x91502)),f302(a1,f77(a1),x91502)))+~P105(f326(x91501,f326(f326(f3(a1),f403(x91501,x91502)),f326(f326(f80(a1),f414(x91501,x91502)),x91502))))
% 225.14/225.11 [8932]~P108(x89321)+~P105(f326(f60(x89321),x89322))+E(f326(f326(f3(f925(x89321,a913)),x89322),f326(f326(f308(x89321),x89323),f188(f925(x89321,a913)))),f188(f925(x89321,a913)))+~P105(f326(f326(f328(x89321),x89323),x89322))+E(f326(f326(f233(x89321),x89323),f16(x89321,f326(f326(f3(f925(x89321,a913)),x89322),f326(f326(f308(x89321),x89323),f188(f925(x89321,a913)))))),f16(x89321,x89322))
% 225.14/225.11 [8933]~P108(x89331)+~P105(f326(f60(x89331),x89332))+E(f326(f326(f3(f925(x89331,a913)),x89332),f326(f326(f308(x89331),x89333),f188(f925(x89331,a913)))),f188(f925(x89331,a913)))+~P105(f326(f326(f328(x89331),x89333),x89332))+E(f326(f326(f238(x89331),x89333),f17(x89331,f326(f326(f3(f925(x89331,a913)),x89332),f326(f326(f308(x89331),x89333),f188(f925(x89331,a913)))))),f17(x89331,x89332))
% 225.14/225.11 [8934]~P99(x89341)+~P105(f326(f60(x89341),x89342))+E(f326(f326(f3(f925(x89341,a913)),x89342),f326(f326(f308(x89341),x89343),f188(f925(x89341,a913)))),f188(f925(x89341,a913)))+~P105(f326(f326(f328(x89341),x89343),x89342))+E(f326(f326(f101(x89341),x89343),f12(x89341,f326(f326(f3(f925(x89341,a913)),x89342),f326(f326(f308(x89341),x89343),f188(f925(x89341,a913)))))),f12(x89341,x89342))
% 225.14/225.11 [8935]~P99(x89351)+~P105(f326(f60(x89351),x89352))+E(f326(f326(f3(f925(x89351,a913)),x89352),f326(f326(f308(x89351),x89353),f188(f925(x89351,a913)))),f188(f925(x89351,a913)))+~P105(f326(f326(f328(x89351),x89353),x89352))+E(f326(f326(f102(x89351),x89353),f13(x89351,f326(f326(f3(f925(x89351,a913)),x89352),f326(f326(f308(x89351),x89353),f188(f925(x89351,a913)))))),f13(x89351,x89352))
% 225.14/225.11 [8997]~P108(x89971)+~P105(f326(f60(x89971),x89972))+E(f326(f326(f3(f925(x89971,a913)),x89972),f326(f326(f308(x89971),x89973),f188(f925(x89971,a913)))),f188(f925(x89971,a913)))+~P105(f326(f326(f328(x89971),x89973),x89972))+E(f326(f326(f238(x89971),x89973),f14(x89971,f238(x89971),f326(f326(f3(f925(x89971,a913)),x89972),f326(f326(f308(x89971),x89973),f188(f925(x89971,a913)))))),f14(x89971,f238(x89971),x89972))
% 225.14/225.11 [8998]~P108(x89981)+~P105(f326(f60(x89981),x89982))+E(f326(f326(f3(f925(x89981,a913)),x89982),f326(f326(f308(x89981),x89983),f188(f925(x89981,a913)))),f188(f925(x89981,a913)))+~P105(f326(f326(f328(x89981),x89983),x89982))+E(f326(f326(f233(x89981),x89983),f15(x89981,f233(x89981),f326(f326(f3(f925(x89981,a913)),x89982),f326(f326(f308(x89981),x89983),f188(f925(x89981,a913)))))),f15(x89981,f233(x89981),x89982))
% 225.14/225.11 [9013]~P108(x90131)+~P105(f326(f60(x90131),x90133))+~P105(f326(f60(x90131),x90132))+E(f326(f326(f102(f925(x90131,a913)),x90132),x90133),f188(f925(x90131,a913)))+E(f326(f326(f238(x90131),f17(x90131,f326(f326(f101(f925(x90131,a913)),x90132),x90133))),f17(x90131,f326(f326(f102(f925(x90131,a913)),x90132),x90133))),f326(f326(f238(x90131),f17(x90131,x90132)),f17(x90131,x90133)))
% 225.14/225.11 [9014]~P108(x90141)+~P105(f326(f60(x90141),x90143))+~P105(f326(f60(x90141),x90142))+E(f326(f326(f102(f925(x90141,a913)),x90142),x90143),f188(f925(x90141,a913)))+E(f326(f326(f233(x90141),f16(x90141,f326(f326(f101(f925(x90141,a913)),x90142),x90143))),f16(x90141,f326(f326(f102(f925(x90141,a913)),x90142),x90143))),f326(f326(f233(x90141),f16(x90141,x90142)),f16(x90141,x90143)))
% 225.14/225.11 [9015]~P99(x90151)+~P105(f326(f60(x90151),x90153))+~P105(f326(f60(x90151),x90152))+E(f326(f326(f102(f925(x90151,a913)),x90152),x90153),f188(f925(x90151,a913)))+E(f326(f326(f101(x90151),f12(x90151,f326(f326(f101(f925(x90151,a913)),x90152),x90153))),f12(x90151,f326(f326(f102(f925(x90151,a913)),x90152),x90153))),f326(f326(f101(x90151),f12(x90151,x90152)),f12(x90151,x90153)))
% 225.14/225.11 [9016]~P99(x90161)+~P105(f326(f60(x90161),x90163))+~P105(f326(f60(x90161),x90162))+E(f326(f326(f102(f925(x90161,a913)),x90162),x90163),f188(f925(x90161,a913)))+E(f326(f326(f102(x90161),f13(x90161,f326(f326(f101(f925(x90161,a913)),x90162),x90163))),f13(x90161,f326(f326(f102(f925(x90161,a913)),x90162),x90163))),f326(f326(f102(x90161),f13(x90161,x90162)),f13(x90161,x90163)))
% 225.14/225.11 [9231]~P108(x92311)+~P105(f326(f60(x92311),x92313))+~P105(f326(f60(x92311),x92312))+E(f326(f326(f102(f925(x92311,a913)),x92312),x92313),f188(f925(x92311,a913)))+E(f326(f326(f238(x92311),f14(x92311,f238(x92311),f326(f326(f101(f925(x92311,a913)),x92312),x92313))),f14(x92311,f238(x92311),f326(f326(f102(f925(x92311,a913)),x92312),x92313))),f326(f326(f238(x92311),f14(x92311,f238(x92311),x92312)),f14(x92311,f238(x92311),x92313)))
% 225.14/225.11 [9232]~P108(x92321)+~P105(f326(f60(x92321),x92323))+~P105(f326(f60(x92321),x92322))+E(f326(f326(f102(f925(x92321,a913)),x92322),x92323),f188(f925(x92321,a913)))+E(f326(f326(f233(x92321),f15(x92321,f233(x92321),f326(f326(f101(f925(x92321,a913)),x92322),x92323))),f15(x92321,f233(x92321),f326(f326(f102(f925(x92321,a913)),x92322),x92323))),f326(f326(f233(x92321),f15(x92321,f233(x92321),x92322)),f15(x92321,f233(x92321),x92323)))
% 225.14/225.11 [10036]~P112(x100363)+E(x100361,x100362)+~P105(f326(f326(f234(x100363),f2(x100363)),x100362))+~P105(f326(f326(f234(x100363),f2(x100363)),x100361))+~E(f326(f326(f243(x100363),x100361),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x100363),x100362),f326(f104(a917),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 225.14/225.11 [6080]~P3(x60802)+E(x60801,f2(x60802))+~E(f326(f326(f35(x60802),x60803),x60801),x60804)+E(x60803,f326(f326(f80(x60802),x60804),x60801))+~P105(f326(f326(f286(x60802),x60801),x60803))
% 225.14/225.11 [6081]~P3(x60812)+E(x60811,f2(x60812))+~E(x60813,f326(f326(f80(x60812),x60814),x60811))+E(f326(f326(f35(x60812),x60813),x60811),x60814)+~P105(f326(f326(f286(x60812),x60811),x60813))
% 225.14/225.11 [6548]E(f828(x65481,x65482,x65483),x65484)+E(f326(x65481,x65484),f2(a917))+~E(f326(f326(f8(x65483,a917),x65481),x65482),f77(a917))+~P105(f326(f60(x65483),x65482))+~P105(f326(f326(f328(x65483),x65484),x65482))
% 225.14/225.11 [6609]E(f829(x66091,x66092,x66093),x66094)+E(f326(x66091,x66094),f2(a917))+~E(f326(f326(f8(x66093,a917),x66091),x66092),f326(a112,f2(a917)))+~P105(f326(f60(x66093),x66092))+~P105(f326(f326(f328(x66093),x66094),x66092))
% 225.14/225.11 [6718]~P108(x67181)+~P5(x67181)+P105(f326(f326(f235(x67181),x67182),f36(x67181,x67183)))+~P105(f326(f326(f235(x67181),x67182),x67184))+~P105(f326(f326(f328(x67181),x67184),x67183))
% 225.14/225.11 [6894]~P108(x68941)+~P5(x68941)+~P105(f326(f326(f235(x68941),x68944),x68943))+P105(f326(f326(f235(x68941),f37(x68941,x68942)),x68943))+~P105(f326(f326(f328(x68941),x68944),x68942))
% 225.14/225.11 [7153]~P112(x71533)+E(x71531,x71532)+~E(f326(f326(f243(x71533),x71531),f326(a112,x71534)),f326(f326(f243(x71533),x71532),f326(a112,x71534)))+~P105(f326(f326(f234(x71533),f2(x71533)),x71532))+~P105(f326(f326(f234(x71533),f2(x71533)),x71531))
% 225.14/225.11 [7364]~E(f868(x73642,x73643,x73641,x73644),x73644)+~E(f326(x73642,x73644),f77(a917))+E(f326(f326(f8(x73641,a917),x73642),x73643),f77(a917))+~P105(f326(f60(x73641),x73643))+~P105(f326(f326(f328(x73641),x73644),x73643))
% 225.14/225.11 [7371]~P120(x73714)+~P134(x73714)+E(f326(x73711,f788(x73711,x73712,x73713,x73714)),f2(x73714))+~E(f326(f326(f11(x73713,x73714),x73711),x73712),f2(x73714))+~P105(f326(f60(x73713),x73712))
% 225.14/225.11 [7461]~E(f864(x74612,x74613,x74611,x74614),x74614)+~E(f326(x74612,x74614),f326(a112,f2(a917)))+E(f326(f326(f8(x74611,a917),x74612),x74613),f326(a112,f2(a917)))+~P105(f326(f60(x74611),x74613))+~P105(f326(f326(f328(x74611),x74614),x74613))
% 225.14/225.11 [8196]~E(f326(x81962,x81964),f77(a917))+~E(f326(x81962,f868(x81962,x81963,x81961,x81964)),f2(a917))+E(f326(f326(f8(x81961,a917),x81962),x81963),f77(a917))+~P105(f326(f60(x81961),x81963))+~P105(f326(f326(f328(x81961),x81964),x81963))
% 225.14/225.11 [8234]~E(f326(x82342,x82344),f326(a112,f2(a917)))+~E(f326(x82342,f864(x82342,x82343,x82341,x82344)),f2(a917))+E(f326(f326(f8(x82341,a917),x82342),x82343),f326(a112,f2(a917)))+~P105(f326(f60(x82341),x82343))+~P105(f326(f326(f328(x82341),x82344),x82343))
% 225.14/225.11 [8319]~P146(x83192)+~P123(x83192)+~P105(f326(x83191,x83194))+~P105(f326(f326(f286(x83192),x83193),f326(f326(f79(x83192),x83194),f2(x83192))))+P105(f326(x83191,f326(f326(f80(x83192),x83193),f860(x83193,x83191,x83192))))
% 225.14/225.11 [8781]~P108(x87811)+~P13(x87811,x87814)+P13(x87811,x87812)+~E(x87812,f326(f326(f151(x87811),x87813),x87814))+~P105(f326(f326(f234(x87811),x87813),f729(x87812,x87811,x87814,x87813)))
% 225.14/225.11 [8818]E(x88181,x88182)+E(f326(f326(f3(a1),f392(x88183,x88182,x88184,x88181)),f393(x88183,x88182,x88184,x88181)),x88181)+~E(f326(f326(f79(a1),x88181),x88184),x88182)+~P105(f326(f326(f235(a1),f2(a1)),x88184))+~P105(f326(f326(f328(a1),x88182),x88183))
% 225.14/225.11 [8819]E(x88191,x88192)+E(f326(f326(f79(a1),f396(x88193,x88192,x88194,x88191)),f397(x88193,x88192,x88194,x88191)),x88191)+~E(f326(f326(f3(a1),x88191),x88194),x88192)+~P105(f326(f326(f235(a1),f2(a1)),x88194))+~P105(f326(f326(f328(a1),x88192),x88193))
% 225.14/225.11 [9011]E(f326(x90111,f353(x90112,x90111,x90113,x90114)),x90112)+P105(f326(f326(f234(a917),x90114),f354(x90112,x90111,x90113,x90114)))+~P105(f326(f326(f234(a1),x90112),f326(x90111,x90113)))+~P105(f326(f326(f235(a917),x90114),x90113))+~P105(f326(f326(f234(a1),f326(x90111,x90114)),x90112))
% 225.14/225.11 [9012]~P108(x90121)+~P13(x90121,x90123)+P13(x90121,x90122)+~E(x90122,f326(f326(f151(x90121),x90124),x90123))+P105(f326(f326(f328(x90121),f729(x90122,x90121,x90123,x90124)),f326(f172(x90121),x90123)))
% 225.14/225.11 [9030]~P120(x90304)+~P134(x90304)+~E(f326(f326(f11(x90301,x90304),x90302),x90303),f2(x90304))+~P105(f326(f60(x90301),x90303))+P105(f326(f326(f328(x90301),f788(x90302,x90303,x90301,x90304)),x90303))
% 225.14/225.11 [9068]~E(f326(x90682,x90684),f77(a917))+E(f326(f326(f8(x90681,a917),x90682),x90683),f77(a917))+~P105(f326(f60(x90681),x90683))+~P105(f326(f326(f328(x90681),x90684),x90683))+P105(f326(f326(f328(x90681),f868(x90682,x90683,x90681,x90684)),x90683))
% 225.14/225.11 [9080]E(x90801,x90802)+~E(f326(f326(f79(a1),x90802),x90804),x90801)+~P105(f326(f326(f235(a1),f2(a1)),x90804))+~P105(f326(f326(f328(a1),x90801),x90803))+P105(f326(f326(f328(a1),f392(x90803,x90801,x90804,x90802)),x90803))
% 225.14/225.11 [9081]E(x90811,x90812)+~E(f326(f326(f3(a1),x90812),x90814),x90811)+~P105(f326(f326(f235(a1),f2(a1)),x90814))+~P105(f326(f326(f328(a1),x90811),x90813))+P105(f326(f326(f328(a1),f396(x90813,x90811,x90814,x90812)),x90813))
% 225.14/225.11 [9083]~E(f326(x90832,x90834),f326(a112,f2(a917)))+E(f326(f326(f8(x90831,a917),x90832),x90833),f326(a112,f2(a917)))+~P105(f326(f60(x90831),x90833))+~P105(f326(f326(f328(x90831),x90834),x90833))+P105(f326(f326(f328(x90831),f864(x90832,x90833,x90831,x90834)),x90833))
% 225.14/225.11 [9088]P58(x90882,x90883,x90884,x90881)+E(x90881,f188(f925(x90882,a913)))+~P105(f326(f60(x90882),x90884))+~P105(f326(f60(x90882),x90881))+P105(f326(f326(f328(x90882),f798(x90883,x90881,x90884,x90882)),x90884))
% 225.14/225.11 [9089]P58(x90892,x90893,x90894,x90891)+E(x90891,f188(f925(x90892,a913)))+~P105(f326(f60(x90892),x90894))+~P105(f326(f60(x90892),x90891))+P105(f326(f326(f328(x90892),f532(x90891,x90894,x90893,x90892)),x90894))
% 225.14/225.11 [9090]P58(x90902,x90903,x90904,x90901)+E(x90901,f188(f925(x90902,a913)))+~P105(f326(f60(x90902),x90904))+~P105(f326(f60(x90902),x90901))+P105(f326(f326(f328(x90902),f799(x90901,x90904,x90903,x90902)),x90904))
% 225.14/225.11 [9163]E(x91631,x91632)+~E(f326(f326(f79(a1),x91632),x91634),x91631)+~P105(f326(f326(f235(a1),f2(a1)),x91634))+~P105(f326(f326(f328(a1),x91631),x91633))+P105(f326(f326(f328(a1),f393(x91633,x91631,x91634,x91632)),f302(a1,f77(a1),x91634)))
% 225.14/225.11 [9164]E(x91641,x91642)+~E(f326(f326(f3(a1),x91642),x91644),x91641)+~P105(f326(f326(f235(a1),f2(a1)),x91644))+~P105(f326(f326(f328(a1),x91641),x91643))+P105(f326(f326(f328(a1),f397(x91643,x91641,x91644,x91642)),f302(a1,f77(a1),x91644)))
% 225.14/225.11 [9237]P105(f326(f326(f234(a917),x92371),f353(x92372,x92373,x92374,x92371)))+~P105(f326(f326(f234(a1),x92372),f326(x92373,x92374)))+P105(f326(f326(f234(a917),x92371),f354(x92372,x92373,x92374,x92371)))+~P105(f326(f326(f235(a917),x92371),x92374))+~P105(f326(f326(f234(a1),f326(x92373,x92371)),x92372))
% 225.14/225.11 [9351]E(f326(x93511,f353(x93512,x93511,x93513,x93514)),x93512)+~P105(f326(f326(f234(a1),x93512),f326(x93511,x93513)))+P105(f326(f326(f235(a917),f354(x93512,x93511,x93513,x93514)),x93513))+~P105(f326(f326(f235(a917),x93514),x93513))+~P105(f326(f326(f234(a1),f326(x93511,x93514)),x93512))
% 225.14/225.11 [9464]~P105(f326(f326(f286(a917),x94644),x94641))+~P105(f326(f326(f286(a917),x94644),x94643))+~P105(f326(f326(f286(a917),x94642),x94641))+P105(f326(f326(f286(a917),x94641),x94642))+P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x94643,x94642)),f289(a917,f286(a917),x94644,x94641)))
% 225.14/225.11 [9465]~P105(f326(f326(f286(a917),x94652),x94651))+~P105(f326(f326(f286(a917),x94653),x94654))+~P105(f326(f326(f286(a917),x94652),x94654))+P105(f326(f326(f286(a917),x94651),x94652))+P105(f326(f326(f235(f925(a917,a913)),f289(a917,f286(a917),x94651,x94653)),f289(a917,f286(a917),x94652,x94654)))
% 225.14/225.11 [9482]~P105(f326(f326(f234(a1),x94822),f326(x94823,x94824)))+P105(f326(f326(f234(a917),x94821),f354(x94822,x94823,x94824,x94821)))+P105(f326(f326(f234(a917),f353(x94822,x94823,x94824,x94821)),x94824))+~P105(f326(f326(f235(a917),x94821),x94824))+~P105(f326(f326(f234(a1),f326(x94823,x94821)),x94822))
% 225.14/225.11 [9483]~P105(f326(f326(f234(a1),x94832),f326(x94833,x94834)))+P105(f326(f326(f234(a917),x94831),f353(x94832,x94833,x94834,x94831)))+P105(f326(f326(f235(a917),f354(x94832,x94833,x94834,x94831)),x94834))+~P105(f326(f326(f235(a917),x94831),x94834))+~P105(f326(f326(f234(a1),f326(x94833,x94831)),x94832))
% 225.14/225.11 [9591]~P105(f326(f326(f234(a1),x95911),f326(x95912,x95913)))+P105(f326(f326(f235(a917),f354(x95911,x95912,x95913,x95914)),x95913))+~P105(f326(f326(f235(a917),x95914),x95913))+~P105(f326(f326(f234(a1),f326(x95912,x95914)),x95911))+P105(f326(f326(f234(a917),f353(x95911,x95912,x95913,x95914)),x95913))
% 225.14/225.11 [9683]E(x96831,f188(f925(x96832,a913)))+~P105(f326(f60(x96832),x96834))+~P105(f326(f60(x96832),x96831))+P105(f326(f326(f328(f924(f925(x96832,a913),f925(x96832,a913))),f326(f326(f251(f925(x96832,a913),f925(x96832,a913)),x96834),x96831)),f317(x96832,x96833)))+P105(f326(f326(f328(x96832),f470(x96833,x96831,x96834,x96832)),x96834))
% 225.14/225.11 [9684]E(x96841,f188(f925(x96842,a913)))+~P105(f326(f60(x96842),x96844))+~P105(f326(f60(x96842),x96841))+P105(f326(f326(f328(f924(f925(x96842,a913),f925(x96842,a913))),f326(f326(f251(f925(x96842,a913),f925(x96842,a913)),x96844),x96841)),f317(x96842,x96843)))+P105(f326(f326(f328(x96842),f477(x96843,x96841,x96844,x96842)),x96844))
% 225.14/225.11 [10358]E(f326(x103581,f353(x103582,x103581,x103583,x103584)),x103582)+~P105(f326(f326(f234(a1),x103582),f326(x103581,x103583)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103581,f326(f326(f79(a917),f354(x103582,x103581,x103583,x103584)),f77(a917)))),f326(x103581,f354(x103582,x103581,x103583,x103584))))),f77(a1)))+~P105(f326(f326(f235(a917),x103584),x103583))+~P105(f326(f326(f234(a1),f326(x103581,x103584)),x103582))
% 225.14/225.11 [10359]~P105(f326(f326(f234(a1),x103592),f326(x103593,x103594)))+P105(f326(f326(f234(a917),x103591),f353(x103592,x103593,x103594,x103591)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103593,f326(f326(f79(a917),f354(x103592,x103593,x103594,x103591)),f77(a917)))),f326(x103593,f354(x103592,x103593,x103594,x103591))))),f77(a1)))+~P105(f326(f326(f235(a917),x103591),x103594))+~P105(f326(f326(f234(a1),f326(x103593,x103591)),x103592))
% 225.14/225.11 [10360]~P105(f326(f326(f234(a1),x103601),f326(x103602,x103603)))+~P105(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103602,f326(f326(f79(a917),f354(x103601,x103602,x103603,x103604)),f77(a917)))),f326(x103602,f354(x103601,x103602,x103603,x103604))))),f77(a1)))+~P105(f326(f326(f235(a917),x103604),x103603))+~P105(f326(f326(f234(a1),f326(x103602,x103604)),x103601))+P105(f326(f326(f234(a917),f353(x103601,x103602,x103603,x103604)),x103603))
% 225.14/225.11 [7424]~P63(x74241)+P105(f326(f326(f235(x74241),x74242),f2(x74241)))+~P105(f326(f326(f234(x74241),x74243),f2(x74241)))+P105(f326(f326(f235(x74241),f2(x74241)),x74242))+P105(f326(f326(f234(x74241),x74243),f326(f326(f290(x74241),x74244),x74242)))
% 225.14/225.11 [7425]~P63(x74251)+P105(f326(f326(f235(x74251),x74252),f2(x74251)))+~P105(f326(f326(f235(x74251),x74253),f2(x74251)))+P105(f326(f326(f235(x74251),f2(x74251)),x74252))+P105(f326(f326(f235(x74251),x74253),f326(f326(f290(x74251),x74254),x74252)))
% 225.14/225.11 [7676]~P63(x76761)+P105(f326(f326(f234(x76761),x76762),f2(x76761)))+P105(f326(f326(f235(x76761),x76763),f2(x76761)))+P105(f326(f326(f235(x76761),f2(x76761)),x76763))+~P105(f326(f326(f234(x76761),x76762),f326(f326(f290(x76761),x76764),x76763)))
% 225.14/225.11 [7677]~P63(x76771)+P105(f326(f326(f235(x76771),x76772),f2(x76771)))+P105(f326(f326(f235(x76771),x76773),f2(x76771)))+P105(f326(f326(f235(x76771),f2(x76771)),x76773))+~P105(f326(f326(f235(x76771),x76772),f326(f326(f290(x76771),x76774),x76773)))
% 225.14/225.11 [7793]E(x77931,x77932)+~E(f326(f326(f164(x77933),x77934),x77931),f326(f326(f164(x77933),x77934),x77932))+~P105(f326(f137(x77933),x77934))+~P105(f326(f326(f235(a917),x77932),f326(f189(f918(x77933)),x77934)))+~P105(f326(f326(f235(a917),x77931),f326(f189(f918(x77933)),x77934)))
% 225.14/225.11 [8157]~P63(x81571)+~P105(f326(f326(f234(x81571),x81573),f2(x81571)))+P105(f326(f326(f235(x81571),f2(x81571)),x81572))+~P105(f326(f326(f234(x81571),x81574),f326(f326(f80(x81571),x81573),x81572)))+P105(f326(f326(f234(x81571),x81573),f326(f326(f290(x81571),x81574),x81572)))
% 225.14/225.11 [8158]~P63(x81581)+~P105(f326(f326(f235(x81581),x81583),f2(x81581)))+P105(f326(f326(f235(x81581),f2(x81581)),x81582))+~P105(f326(f326(f235(x81581),x81584),f326(f326(f80(x81581),x81583),x81582)))+P105(f326(f326(f235(x81581),x81583),f326(f326(f290(x81581),x81584),x81582)))
% 225.14/225.11 [8159]~P63(x81591)+~P105(f326(f326(f235(x81591),x81592),f2(x81591)))+P105(f326(f326(f235(x81591),f2(x81591)),x81592))+~P105(f326(f326(f234(x81591),x81594),f326(f326(f80(x81591),x81593),x81592)))+P105(f326(f326(f234(x81591),x81593),f326(f326(f290(x81591),x81594),x81592)))
% 225.14/225.11 [8160]~P63(x81601)+~P105(f326(f326(f235(x81601),x81602),f2(x81601)))+P105(f326(f326(f235(x81601),f2(x81601)),x81602))+~P105(f326(f326(f234(x81601),x81604),f326(f326(f290(x81601),x81603),x81602)))+P105(f326(f326(f234(x81601),x81603),f326(f326(f80(x81601),x81604),x81602)))
% 225.14/225.11 [8161]~P63(x81611)+~P105(f326(f326(f235(x81611),x81612),f2(x81611)))+P105(f326(f326(f235(x81611),f2(x81611)),x81612))+~P105(f326(f326(f235(x81611),x81614),f326(f326(f80(x81611),x81613),x81612)))+P105(f326(f326(f235(x81611),x81613),f326(f326(f290(x81611),x81614),x81612)))
% 225.14/225.11 [8162]~P63(x81621)+~P105(f326(f326(f235(x81621),x81622),f2(x81621)))+P105(f326(f326(f235(x81621),f2(x81621)),x81622))+~P105(f326(f326(f235(x81621),x81624),f326(f326(f290(x81621),x81623),x81622)))+P105(f326(f326(f235(x81621),x81623),f326(f326(f80(x81621),x81624),x81622)))
% 225.14/225.11 [8302]~P108(x83021)+~P13(x83021,x83022)+~P105(f326(f326(f234(a917),x83023),x83024))+P105(f326(f326(f234(x83021),f326(f326(f164(x83021),x83022),x83023)),f326(f326(f164(x83021),x83022),x83024)))+~P105(f326(f326(f235(a917),x83024),f326(f189(f918(x83021)),x83022)))
% 225.14/225.11 [8355]~P112(x83551)+~P105(f326(f326(f234(x83551),x83552),f77(x83551)))+~P105(f326(f326(f234(x83551),f2(x83551)),x83552))+~P105(f326(f326(f234(a917),x83554),x83553))+P105(f326(f326(f234(x83551),f326(f326(f243(x83551),x83552),x83553)),f326(f326(f243(x83551),x83552),x83554)))
% 225.14/225.11 [8356]~P112(x83561)+~P105(f326(f326(f235(x83561),x83562),f77(x83561)))+~P105(f326(f326(f235(x83561),f2(x83561)),x83562))+~P105(f326(f326(f235(a917),x83564),x83563))+P105(f326(f326(f235(x83561),f326(f326(f243(x83561),x83562),x83563)),f326(f326(f243(x83561),x83562),x83564)))
% 225.14/225.11 [8357]~P112(x83571)+~P105(f326(f326(f234(x83571),f2(x83571)),x83572))+~P105(f326(f326(f235(a917),f2(a917)),x83573))+~P105(f326(f326(f235(x83571),x83572),x83574))+P105(f326(f326(f235(x83571),f326(f326(f243(x83571),x83572),x83573)),f326(f326(f243(x83571),x83574),x83573)))
% 225.14/225.11 [8375]~P108(x83751)+~P13(x83751,f326(f168(x83751),x83752))+~P105(f326(f326(f234(a917),x83754),x83753))+P105(f326(f326(f234(x83751),f326(f326(f164(x83751),x83752),x83753)),f326(f326(f164(x83751),x83752),x83754)))+~P105(f326(f326(f235(a917),x83753),f326(f189(f918(x83751)),x83752)))
% 225.14/225.11 [8618]~P63(x86181)+~P105(f326(f326(f234(x86181),x86182),f2(x86181)))+~P105(f326(f326(f234(x86181),x86183),x86184))+~P105(f326(f326(f235(x86181),f2(x86181)),f326(f326(f80(x86181),x86183),x86184)))+P105(f326(f326(f234(x86181),f326(f326(f290(x86181),x86182),x86183)),f326(f326(f290(x86181),x86182),x86184)))
% 225.14/225.11 [8619]~P64(x86191)+~P105(f326(f326(f235(x86191),x86192),f2(x86191)))+~P105(f326(f326(f235(x86191),x86193),x86194))+~P105(f326(f326(f235(x86191),f2(x86191)),f326(f326(f80(x86191),x86193),x86194)))+P105(f326(f326(f235(x86191),f326(f326(f290(x86191),x86192),x86193)),f326(f326(f290(x86191),x86192),x86194)))
% 225.14/225.11 [8628]~P64(x86281)+~P105(f326(f326(f234(x86281),x86284),x86283))+~P105(f326(f326(f234(x86281),f2(x86281)),x86282))+~P105(f326(f326(f235(x86281),f2(x86281)),f326(f326(f80(x86281),x86283),x86284)))+P105(f326(f326(f234(x86281),f326(f326(f290(x86281),x86282),x86283)),f326(f326(f290(x86281),x86282),x86284)))
% 225.14/225.11 [8629]~P64(x86291)+~P105(f326(f326(f235(x86291),x86294),x86293))+~P105(f326(f326(f235(x86291),f2(x86291)),x86292))+~P105(f326(f326(f235(x86291),f2(x86291)),f326(f326(f80(x86291),x86293),x86294)))+P105(f326(f326(f235(x86291),f326(f326(f290(x86291),x86292),x86293)),f326(f326(f290(x86291),x86292),x86294)))
% 225.14/225.11 [8729]P105(f326(x87291,x87292))+~P105(f326(f60(x87294),x87292))+P105(f326(x87291,f451(x87291,x87293,x87292,x87294)))+~P105(f326(x87291,f188(f925(x87294,a913))))+~P105(f326(f326(f234(f925(x87294,a913)),x87292),x87293))
% 225.14/225.11 [8738]P105(f326(x87381,x87382))+P105(f326(f60(x87383),f451(x87381,x87384,x87382,x87383)))+~P105(f326(f60(x87383),x87382))+~P105(f326(x87381,f188(f925(x87383,a913))))+~P105(f326(f326(f234(f925(x87383,a913)),x87382),x87384))
% 225.14/225.11 [9006]E(f326(f326(f79(a1),f398(x90061,x90062,x90063,x90064)),f399(x90061,x90062,x90063,x90064)),x90064)+~P105(f326(f326(f235(a1),f2(a1)),x90063))+~P105(f326(f326(f235(a1),x90062),x90064))+~P105(f326(f326(f328(a1),x90062),x90061))+P105(f326(f326(f235(a1),x90062),f326(f326(f3(a1),x90064),x90063)))
% 225.14/225.11 [9219]~P105(f326(f326(f235(a1),f2(a1)),x92193))+~P105(f326(f326(f235(a1),x92192),x92194))+~P105(f326(f326(f328(a1),x92192),x92191))+P105(f326(f326(f328(a1),f398(x92191,x92192,x92193,x92194)),x92191))+P105(f326(f326(f235(a1),x92192),f326(f326(f3(a1),x92194),x92193)))
% 225.14/225.11 [9230]P105(f326(x92301,x92302))+~P105(f326(f60(x92303),x92302))+P105(f326(f326(f328(x92303),f440(x92301,x92304,x92302,x92303)),x92304))+~P105(f326(x92301,f188(f925(x92303,a913))))+~P105(f326(f326(f234(f925(x92303,a913)),x92302),x92304))
% 225.14/225.11 [9247]E(f326(f326(f79(a1),f379(x92471,x92472,x92473,x92474)),f380(x92471,x92472,x92473,x92474)),x92474)+~P105(f326(f326(f235(a1),f2(a1)),x92473))+~P105(f326(f326(f234(a1),x92472),x92474))+P105(f326(f326(f234(a1),x92472),f326(f326(f3(a1),x92474),x92473)))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x92472),f77(a1))),x92471))
% 225.14/225.11 [9301]~P105(f326(f326(f235(a1),f2(a1)),x93013))+~P105(f326(f326(f235(a1),x93011),x93012))+~P105(f326(f326(f328(a1),x93011),x93014))+P105(f326(f326(f328(a1),f399(x93014,x93011,x93013,x93012)),f302(a1,f77(a1),x93013)))+P105(f326(f326(f235(a1),x93011),f326(f326(f3(a1),x93012),x93013)))
% 225.14/225.11 [9327]~P70(x93272)+~E(f778(x93273,x93274,x93271,x93272),f779(x93273,x93274,x93271,x93272))+~P105(f326(f60(x93271),f780(x93273,x93274,x93271,x93272)))+E(f326(f326(f8(f925(x93271,a913),x93272),f326(f8(x93271,x93272),x93273)),x93274),f326(f326(f8(x93271,x93272),x93273),f36(f925(x93271,a913),x93274)))+~P105(f326(f60(f925(x93271,a913)),x93274))
% 225.14/225.11 [9331]~P70(x93312)+~E(f326(x93313,f782(x93313,x93314,x93311,x93312)),f2(x93312))+~P105(f326(f60(x93311),f780(x93313,x93314,x93311,x93312)))+E(f326(f326(f8(f925(x93311,a913),x93312),f326(f8(x93311,x93312),x93313)),x93314),f326(f326(f8(x93311,x93312),x93313),f36(f925(x93311,a913),x93314)))+~P105(f326(f60(f925(x93311,a913)),x93314))
% 225.14/225.11 [9394]~P105(f326(f326(f235(a1),f2(a1)),x93943))+~P105(f326(f326(f234(a1),x93942),x93944))+P105(f326(f326(f328(a1),f379(x93941,x93942,x93943,x93944)),x93941))+P105(f326(f326(f234(a1),x93942),f326(f326(f3(a1),x93944),x93943)))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x93942),f77(a1))),x93941))
% 225.14/225.11 [9439]~P105(f326(f326(f235(a1),f2(a1)),x94393))+~P105(f326(f326(f234(a1),x94391),x94392))+P105(f326(f326(f328(a1),f380(x94394,x94391,x94393,x94392)),f302(a1,f77(a1),x94393)))+P105(f326(f326(f234(a1),x94391),f326(f326(f3(a1),x94392),x94393)))+~P105(f326(f326(f328(a1),f326(f326(f3(a1),x94391),f77(a1))),x94394))
% 225.14/225.11 [9460]~P70(x94602)+~E(f778(x94603,x94604,x94601,x94602),f779(x94603,x94604,x94601,x94602))+E(f326(f326(f8(f925(x94601,a913),x94602),f326(f8(x94601,x94602),x94603)),x94604),f326(f326(f8(x94601,x94602),x94603),f36(f925(x94601,a913),x94604)))+P105(f326(f326(f328(f925(x94601,a913)),f780(x94603,x94604,x94601,x94602)),x94604))+~P105(f326(f60(f925(x94601,a913)),x94604))
% 225.14/225.11 [9467]~P70(x94672)+~E(f326(x94673,f782(x94673,x94674,x94671,x94672)),f2(x94672))+E(f326(f326(f8(f925(x94671,a913),x94672),f326(f8(x94671,x94672),x94673)),x94674),f326(f326(f8(x94671,x94672),x94673),f36(f925(x94671,a913),x94674)))+P105(f326(f326(f328(f925(x94671,a913)),f780(x94673,x94674,x94671,x94672)),x94674))+~P105(f326(f60(f925(x94671,a913)),x94674))
% 225.14/225.11 [9568]~P70(x95682)+~P105(f326(f60(x95681),f780(x95683,x95684,x95681,x95682)))+E(f326(f326(f8(f925(x95681,a913),x95682),f326(f8(x95681,x95682),x95683)),x95684),f326(f326(f8(x95681,x95682),x95683),f36(f925(x95681,a913),x95684)))+P105(f326(f326(f328(f925(x95681,a913)),f779(x95683,x95684,x95681,x95682)),x95684))+~P105(f326(f60(f925(x95681,a913)),x95684))
% 225.14/225.11 [9569]~P70(x95692)+~P105(f326(f60(x95691),f780(x95693,x95694,x95691,x95692)))+E(f326(f326(f8(f925(x95691,a913),x95692),f326(f8(x95691,x95692),x95693)),x95694),f326(f326(f8(x95691,x95692),x95693),f36(f925(x95691,a913),x95694)))+P105(f326(f326(f328(f925(x95691,a913)),f778(x95693,x95694,x95691,x95692)),x95694))+~P105(f326(f60(f925(x95691,a913)),x95694))
% 225.14/225.11 [9649]~P70(x96492)+E(f326(f326(f8(f925(x96491,a913),x96492),f326(f8(x96491,x96492),x96493)),x96494),f326(f326(f8(x96491,x96492),x96493),f36(f925(x96491,a913),x96494)))+P105(f326(f326(f328(f925(x96491,a913)),f780(x96493,x96494,x96491,x96492)),x96494))+P105(f326(f326(f328(f925(x96491,a913)),f779(x96493,x96494,x96491,x96492)),x96494))+~P105(f326(f60(f925(x96491,a913)),x96494))
% 225.14/225.11 [9650]~P70(x96502)+E(f326(f326(f8(f925(x96501,a913),x96502),f326(f8(x96501,x96502),x96503)),x96504),f326(f326(f8(x96501,x96502),x96503),f36(f925(x96501,a913),x96504)))+P105(f326(f326(f328(f925(x96501,a913)),f780(x96503,x96504,x96501,x96502)),x96504))+P105(f326(f326(f328(f925(x96501,a913)),f778(x96503,x96504,x96501,x96502)),x96504))+~P105(f326(f60(f925(x96501,a913)),x96504))
% 225.14/225.11 [9669]~P70(x96692)+P105(f326(f326(f328(x96691),f782(x96693,x96694,x96691,x96692)),f779(x96693,x96694,x96691,x96692)))+~P105(f326(f60(x96691),f780(x96693,x96694,x96691,x96692)))+E(f326(f326(f8(f925(x96691,a913),x96692),f326(f8(x96691,x96692),x96693)),x96694),f326(f326(f8(x96691,x96692),x96693),f36(f925(x96691,a913),x96694)))+~P105(f326(f60(f925(x96691,a913)),x96694))
% 225.14/225.11 [9670]~P70(x96702)+P105(f326(f326(f328(x96701),f782(x96703,x96704,x96701,x96702)),f778(x96703,x96704,x96701,x96702)))+~P105(f326(f60(x96701),f780(x96703,x96704,x96701,x96702)))+E(f326(f326(f8(f925(x96701,a913),x96702),f326(f8(x96701,x96702),x96703)),x96704),f326(f326(f8(x96701,x96702),x96703),f36(f925(x96701,a913),x96704)))+~P105(f326(f60(f925(x96701,a913)),x96704))
% 225.14/225.11 [9687]P105(f326(x96871,x96872))+~P105(f326(f326(f328(x96873),f440(x96871,x96874,x96872,x96873)),f451(x96871,x96874,x96872,x96873)))+~P105(f326(f60(x96873),x96872))+~P105(f326(x96871,f188(f925(x96873,a913))))+~P105(f326(f326(f234(f925(x96873,a913)),x96872),x96874))
% 225.14/225.11 [9724]~P70(x97242)+P105(f326(f326(f328(x97241),f782(x97243,x97244,x97241,x97242)),f779(x97243,x97244,x97241,x97242)))+E(f326(f326(f8(f925(x97241,a913),x97242),f326(f8(x97241,x97242),x97243)),x97244),f326(f326(f8(x97241,x97242),x97243),f36(f925(x97241,a913),x97244)))+P105(f326(f326(f328(f925(x97241,a913)),f780(x97243,x97244,x97241,x97242)),x97244))+~P105(f326(f60(f925(x97241,a913)),x97244))
% 225.14/225.11 [9725]~P70(x97252)+P105(f326(f326(f328(x97251),f782(x97253,x97254,x97251,x97252)),f778(x97253,x97254,x97251,x97252)))+E(f326(f326(f8(f925(x97251,a913),x97252),f326(f8(x97251,x97252),x97253)),x97254),f326(f326(f8(x97251,x97252),x97253),f36(f925(x97251,a913),x97254)))+P105(f326(f326(f328(f925(x97251,a913)),f780(x97253,x97254,x97251,x97252)),x97254))+~P105(f326(f60(f925(x97251,a913)),x97254))
% 225.14/225.11 [9901]P105(f326(x99011,x99012))+~P105(f326(f60(x99013),x99012))+~P105(f326(x99011,f326(f326(f308(x99013),f440(x99011,x99014,x99012,x99013)),f451(x99011,x99014,x99012,x99013))))+~P105(f326(x99011,f188(f925(x99013,a913))))+~P105(f326(f326(f234(f925(x99013,a913)),x99012),x99014))
% 225.14/225.11 [7929]~P63(x79291)+P105(f326(f326(f235(x79291),x79292),f2(x79291)))+~P105(f326(f326(f234(x79291),f2(x79291)),x79294))+P105(f326(f326(f235(x79291),f2(x79291)),x79292))+P105(f326(f326(f234(x79291),f326(f326(f290(x79291),x79293),x79292)),x79294))
% 225.14/225.11 [7930]~P63(x79301)+P105(f326(f326(f235(x79301),x79302),f2(x79301)))+P105(f326(f326(f235(x79301),f2(x79301)),x79302))+~P105(f326(f326(f235(x79301),f2(x79301)),x79304))+P105(f326(f326(f235(x79301),f326(f326(f290(x79301),x79303),x79302)),x79304))
% 225.14/225.11 [8209]~P105(f326(f326(f234(a1),x82094),f2(a1)))+~E(x82092,f326(f326(f79(a1),f326(f326(f80(a1),x82091),x82093)),x82094))+P105(f326(f326(f235(a1),f2(a1)),x82091))+~P105(f326(f326(f235(a1),x82091),x82094))+P105(f326(f48(x82092,x82091),f326(f326(f251(a1,a1),x82093),x82094)))
% 225.14/225.11 [8243]~P105(f326(x82431,x82434))+P105(f326(x82431,f901(x82432,x82431,x82433)))+~P105(f326(f326(f234(a1),f2(a1)),x82432))+~P105(f326(f326(f235(a1),f2(a1)),x82433))+P105(f326(x82431,f326(f326(f3(a1),x82434),f326(f326(f80(a1),x82432),x82433))))
% 225.14/225.11 [8244]~P105(f326(x82441,x82444))+P105(f326(x82441,f904(x82442,x82441,x82443)))+~P105(f326(f326(f234(a1),f2(a1)),x82442))+~P105(f326(f326(f235(a1),f2(a1)),x82443))+P105(f326(x82441,f326(f326(f79(a1),x82444),f326(f326(f80(a1),x82442),x82443))))
% 225.14/225.11 [8245]~P63(x82451)+P105(f326(f326(f235(x82451),x82452),f2(x82451)))+P105(f326(f326(f235(x82451),f2(x82451)),x82452))+P105(f326(f326(f234(x82451),f2(x82451)),x82453))+~P105(f326(f326(f234(x82451),f326(f326(f290(x82451),x82454),x82452)),x82453))
% 225.14/225.11 [8246]~P63(x82461)+P105(f326(f326(f235(x82461),x82462),f2(x82461)))+P105(f326(f326(f235(x82461),f2(x82461)),x82462))+P105(f326(f326(f235(x82461),f2(x82461)),x82463))+~P105(f326(f326(f235(x82461),f326(f326(f290(x82461),x82464),x82462)),x82463))
% 225.14/225.11 [8297]~E(x82971,f326(f326(f79(a1),f326(f326(f80(a1),x82972),x82973)),x82974))+~P105(f326(f326(f234(a1),f2(a1)),x82974))+~P105(f326(f326(f235(a1),f2(a1)),x82972))+~P105(f326(f326(f235(a1),x82974),x82972))+P105(f326(f48(x82971,x82972),f326(f326(f251(a1,a1),x82973),x82974)))
% 225.14/225.11 [8414]~P63(x84141)+P105(f326(f326(f235(x84141),x84142),f2(x84141)))+~P105(f326(f326(f234(x84141),f2(x84141)),x84144))+~P105(f326(f326(f234(x84141),x84143),f326(f326(f80(x84141),x84144),x84142)))+P105(f326(f326(f234(x84141),f326(f326(f290(x84141),x84143),x84142)),x84144))
% 225.14/225.11 [8415]~P63(x84151)+P105(f326(f326(f235(x84151),x84152),f2(x84151)))+~P105(f326(f326(f235(x84151),f2(x84151)),x84154))+~P105(f326(f326(f235(x84151),x84153),f326(f326(f80(x84151),x84154),x84152)))+P105(f326(f326(f235(x84151),f326(f326(f290(x84151),x84153),x84152)),x84154))
% 225.14/225.11 [8499]~P63(x84991)+P105(f326(f326(f235(x84991),x84992),f2(x84991)))+~P105(f326(f326(f234(x84991),x84993),f2(x84991)))+P105(f326(f326(f234(x84991),x84993),f326(f326(f290(x84991),x84994),x84992)))+~P105(f326(f326(f234(x84991),f326(f326(f80(x84991),x84993),x84992)),x84994))
% 225.14/225.11 [8500]~P63(x85001)+P105(f326(f326(f235(x85001),x85002),f2(x85001)))+~P105(f326(f326(f235(x85001),x85003),f2(x85001)))+P105(f326(f326(f235(x85001),x85003),f326(f326(f290(x85001),x85004),x85002)))+~P105(f326(f326(f235(x85001),f326(f326(f80(x85001),x85003),x85002)),x85004))
% 225.14/225.11 [8650]~P63(x86501)+~P105(f326(f326(f235(x86501),x86502),f2(x86501)))+P105(f326(f326(f235(x86501),f2(x86501)),x86502))+~P105(f326(f326(f234(x86501),f326(f326(f290(x86501),x86504),x86502)),x86503))+P105(f326(f326(f234(x86501),f326(f326(f80(x86501),x86503),x86502)),x86504))
% 225.14/225.11 [8651]~P63(x86511)+~P105(f326(f326(f235(x86511),x86512),f2(x86511)))+P105(f326(f326(f235(x86511),f2(x86511)),x86512))+~P105(f326(f326(f234(x86511),f326(f326(f80(x86511),x86514),x86512)),x86513))+P105(f326(f326(f234(x86511),f326(f326(f290(x86511),x86513),x86512)),x86514))
% 225.14/225.11 [8652]~P63(x86521)+~P105(f326(f326(f235(x86521),x86522),f2(x86521)))+P105(f326(f326(f235(x86521),f2(x86521)),x86522))+~P105(f326(f326(f235(x86521),f326(f326(f290(x86521),x86524),x86522)),x86523))+P105(f326(f326(f235(x86521),f326(f326(f80(x86521),x86523),x86522)),x86524))
% 225.14/225.11 [8653]~P63(x86531)+~P105(f326(f326(f235(x86531),x86532),f2(x86531)))+P105(f326(f326(f235(x86531),f2(x86531)),x86532))+~P105(f326(f326(f235(x86531),f326(f326(f80(x86531),x86534),x86532)),x86533))+P105(f326(f326(f235(x86531),f326(f326(f290(x86531),x86533),x86532)),x86534))
% 225.14/225.11 [8669]~P63(x86691)+~P105(f326(f326(f234(x86691),f2(x86691)),x86694))+P105(f326(f326(f235(x86691),f2(x86691)),x86692))+~P105(f326(f326(f234(x86691),f326(f326(f80(x86691),x86694),x86692)),x86693))+P105(f326(f326(f234(x86691),f326(f326(f290(x86691),x86693),x86692)),x86694))
% 225.14/225.11 [8670]~P63(x86701)+~P105(f326(f326(f235(x86701),f2(x86701)),x86704))+P105(f326(f326(f235(x86701),f2(x86701)),x86702))+~P105(f326(f326(f235(x86701),f326(f326(f80(x86701),x86704),x86702)),x86703))+P105(f326(f326(f235(x86701),f326(f326(f290(x86701),x86703),x86702)),x86704))
% 225.14/225.11 [8746]~P63(x87461)+~P105(f326(f326(f235(x87461),x87464),f2(x87461)))+~P105(f326(f326(f234(x87461),x87463),f326(f326(f80(x87461),x87462),x87464)))+P105(f326(f326(f234(x87461),x87462),f326(f326(f290(x87461),x87463),x87464)))+~P105(f326(f326(f234(x87461),f326(f326(f80(x87461),x87462),x87464)),x87463))
% 225.14/225.11 [8747]~P63(x87471)+~P105(f326(f326(f234(x87471),x87472),f2(x87471)))+~P105(f326(f326(f234(x87471),x87473),f326(f326(f80(x87471),x87472),x87474)))+P105(f326(f326(f234(x87471),x87472),f326(f326(f290(x87471),x87473),x87474)))+~P105(f326(f326(f234(x87471),f326(f326(f80(x87471),x87472),x87474)),x87473))
% 225.14/225.11 [8748]~P63(x87481)+~P105(f326(f326(f235(x87481),x87484),f2(x87481)))+~P105(f326(f326(f235(x87481),x87483),f326(f326(f80(x87481),x87482),x87484)))+P105(f326(f326(f235(x87481),x87482),f326(f326(f290(x87481),x87483),x87484)))+~P105(f326(f326(f235(x87481),f326(f326(f80(x87481),x87482),x87484)),x87483))
% 225.14/225.11 [8749]~P63(x87491)+~P105(f326(f326(f235(x87491),x87492),f2(x87491)))+~P105(f326(f326(f235(x87491),x87493),f326(f326(f80(x87491),x87492),x87494)))+P105(f326(f326(f235(x87491),x87492),f326(f326(f290(x87491),x87493),x87494)))+~P105(f326(f326(f235(x87491),f326(f326(f80(x87491),x87492),x87494)),x87493))
% 225.14/225.11 [8871]~P63(x88711)+~P105(f326(f326(f235(x88711),x88713),f2(x88711)))+~P105(f326(f326(f234(x88711),x88712),f326(f326(f80(x88711),x88714),x88713)))+~P105(f326(f326(f234(x88711),f326(f326(f80(x88711),x88714),x88713)),x88712))+P105(f326(f326(f234(x88711),f326(f326(f290(x88711),x88712),x88713)),x88714))
% 225.14/225.11 [8872]~P63(x88721)+~P105(f326(f326(f235(x88721),x88723),f2(x88721)))+~P105(f326(f326(f235(x88721),x88722),f326(f326(f80(x88721),x88724),x88723)))+~P105(f326(f326(f235(x88721),f326(f326(f80(x88721),x88724),x88723)),x88722))+P105(f326(f326(f235(x88721),f326(f326(f290(x88721),x88722),x88723)),x88724))
% 225.14/225.11 [8889]~P63(x88891)+~P105(f326(f326(f234(x88891),f2(x88891)),x88894))+~P105(f326(f326(f234(x88891),x88892),f326(f326(f80(x88891),x88894),x88893)))+~P105(f326(f326(f234(x88891),f326(f326(f80(x88891),x88894),x88893)),x88892))+P105(f326(f326(f234(x88891),f326(f326(f290(x88891),x88892),x88893)),x88894))
% 225.14/225.11 [8890]~P63(x88901)+~P105(f326(f326(f235(x88901),f2(x88901)),x88904))+~P105(f326(f326(f235(x88901),x88902),f326(f326(f80(x88901),x88904),x88903)))+~P105(f326(f326(f235(x88901),f326(f326(f80(x88901),x88904),x88903)),x88902))+P105(f326(f326(f235(x88901),f326(f326(f290(x88901),x88902),x88903)),x88904))
% 225.14/225.11 [9073]E(f326(f326(f3(a1),f409(x90731,x90732,x90733,x90734)),f410(x90731,x90732,x90733,x90734)),x90734)+~P105(f326(f326(f235(a1),f2(a1)),x90733))+~P105(f326(f326(f328(a1),x90732),x90731))+~P105(f326(f326(f235(a1),x90734),x90732))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x90734),x90733)),x90732))
% 225.14/225.11 [9144]~P105(f326(x91441,x91442))+~P105(f326(f326(f234(a1),f2(a1)),x91443))+~P105(f326(f326(f235(a1),f2(a1)),x91444))+~P105(f326(x91441,f326(f326(f3(a1),f901(x91443,x91441,x91444)),x91444)))+P105(f326(x91441,f326(f326(f3(a1),x91442),f326(f326(f80(a1),x91443),x91444))))
% 225.14/225.11 [9145]~P105(f326(x91451,x91452))+~P105(f326(f326(f234(a1),f2(a1)),x91453))+~P105(f326(f326(f235(a1),f2(a1)),x91454))+~P105(f326(x91451,f326(f326(f79(a1),f904(x91453,x91451,x91454)),x91454)))+P105(f326(x91451,f326(f326(f79(a1),x91452),f326(f326(f80(a1),x91453),x91454))))
% 225.14/225.11 [9295]~P105(f326(f326(f235(a1),f2(a1)),x92953))+~P105(f326(f326(f328(a1),x92952),x92951))+~P105(f326(f326(f235(a1),x92954),x92952))+P105(f326(f326(f328(a1),f409(x92951,x92952,x92953,x92954)),x92951))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x92954),x92953)),x92952))
% 225.14/225.11 [9314]E(f326(f326(f3(a1),f374(x93141,x93142,x93143,x93144)),f375(x93141,x93142,x93143,x93144)),x93144)+~P105(f326(f326(f235(a1),f2(a1)),x93143))+~P105(f326(f326(f234(a1),x93144),x93142))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x93142),f77(a1))),x93141))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x93144),x93143)),x93142))
% 225.14/225.11 [9342]~P105(f326(f326(f235(a1),f2(a1)),x93422))+~P105(f326(f326(f328(a1),x93423),x93424))+~P105(f326(f326(f235(a1),x93421),x93423))+P105(f326(f326(f328(a1),f410(x93424,x93423,x93422,x93421)),f302(a1,f77(a1),x93422)))+P105(f326(f326(f235(a1),f326(f326(f79(a1),x93421),x93422)),x93423))
% 225.14/225.11 [9431]~P105(f326(f326(f235(a1),f2(a1)),x94313))+~P105(f326(f326(f234(a1),x94314),x94312))+P105(f326(f326(f328(a1),f374(x94311,x94312,x94313,x94314)),x94311))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x94312),f77(a1))),x94311))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x94314),x94313)),x94312))
% 225.14/225.11 [9478]~P105(f326(f326(f235(a1),f2(a1)),x94782))+~P105(f326(f326(f234(a1),x94781),x94783))+P105(f326(f326(f328(a1),f375(x94784,x94783,x94782,x94781)),f302(a1,f77(a1),x94782)))+~P105(f326(f326(f328(a1),f326(f326(f79(a1),x94783),f77(a1))),x94784))+P105(f326(f326(f234(a1),f326(f326(f79(a1),x94781),x94782)),x94783))
% 225.14/225.11 [9778]~P37(x97781,x97783)+~P27(x97781,x97784)+P37(x97781,f326(f326(f101(f925(f924(x97781,x97781),a913)),x97782),x97783))+~P105(f326(f326(f234(f925(f924(x97781,x97781),a913)),x97782),f326(f250(f925(f924(x97781,x97781),a913),f925(f924(x97781,x97781),a913)),x97784)))+~P105(f326(f326(f234(f925(f924(x97781,x97781),a913)),x97783),f326(f255(f925(f924(x97781,x97781),a913),f925(f924(x97781,x97781),a913)),x97784)))
% 225.14/225.11 [10169]~P18(x101692,x101694,x101693)+E(x101691,f188(f925(x101692,a913)))+~P105(f326(f60(x101692),x101691))+P105(f326(f326(f328(x101692),f326(x101693,x101691)),x101691))+~P105(f326(f326(f328(x101692),f326(f326(x101694,f402(x101691,x101693,x101694,x101692)),f412(x101691,x101693,x101694,x101692))),f326(f326(f308(x101692),f402(x101691,x101693,x101694,x101692)),f326(f326(f308(x101692),f412(x101691,x101693,x101694,x101692)),f188(f925(x101692,a913))))))
% 225.14/225.11 [10092]~P109(x100922)+~P60(x100921)+~P105(f326(f326(f234(f925(x100921,x100922)),x100923),x100924))+P105(f326(f326(f235(f925(x100921,x100922)),x100923),x100924))+~P105(f326(f55(x100921),f326(f326(f10(a913,a913,x100921),a321),f326(f326(f20(x100921,x100922,a913),f326(f326(f10(x100922,f925(x100922,a913),x100921),a323),x100923)),x100924))))
% 225.14/225.11 [9693]~P54(x96931,x96931,x96934)+P105(f326(f326(f328(f924(x96931,x96931)),f326(f326(f251(x96931,x96931),x96932),x96933)),f306(x96931,x96934)))+P105(f326(f326(f328(f924(x96931,x96931)),f326(f326(f251(x96931,x96931),x96933),x96932)),f306(x96931,x96934)))+~P105(f326(f326(f328(f924(x96931,x96931)),f326(f326(f251(x96931,x96931),x96935),x96932)),f306(x96931,x96934)))+~P105(f326(f326(f328(f924(x96931,x96931)),f326(f326(f251(x96931,x96931),x96935),x96933)),f306(x96931,x96934)))
% 225.14/225.11 [5813]E(x58131,f2(a917))+~E(f326(f34(x58132),x58135),x58131)+E(f326(f34(x58132),x58133),f326(a112,x58131))+~E(x58133,f326(f326(f308(x58132),x58134),x58135))+P105(f326(f326(f328(x58132),x58134),x58135))
% 225.14/225.11 [5935]~P62(x59352)+E(x59351,f2(x59352))+E(x59353,f2(x59352))+~E(f326(f326(f290(x59352),x59354),x59353),f326(f326(f290(x59352),x59355),x59351))+E(f326(f326(f80(x59352),x59354),x59351),f326(f326(f80(x59352),x59355),x59353))
% 225.14/225.11 [5936]~P62(x59362)+E(x59361,f2(x59362))+E(x59363,f2(x59362))+~E(f326(f326(f80(x59362),x59364),x59363),f326(f326(f80(x59362),x59365),x59361))+E(f326(f326(f290(x59362),x59364),x59361),f326(f326(f290(x59362),x59365),x59363))
% 225.14/225.11 [6011]~E(f326(f34(x60111),x60115),x60113)+~E(x60115,f188(f925(x60111,a913)))+E(f326(f34(x60111),x60112),f326(a112,x60113))+~E(x60112,f326(f326(f308(x60111),x60114),x60115))+P105(f326(f326(f328(x60111),x60114),x60115))
% 225.14/225.11 [6250]~P120(x62502)+~E(f326(x62503,x62505),f2(x62502))+E(f326(f326(f11(x62501,x62502),x62503),x62504),f2(x62502))+~P105(f326(f60(x62501),x62504))+~P105(f326(f326(f328(x62501),x62505),x62504))
% 225.14/225.11 [6622]~P108(x66223)+E(x66221,x66222)+~E(f326(f301(x66223,x66224),x66221),f326(f301(x66223,x66225),x66222))+~P105(f326(f326(f235(x66223),x66225),x66222))+~P105(f326(f326(f235(x66223),x66224),x66221))
% 225.14/225.11 [6623]~P108(x66233)+E(x66231,x66232)+~E(f326(f301(x66233,x66231),x66234),f326(f301(x66233,x66232),x66235))+~P105(f326(f326(f235(x66233),x66232),x66235))+~P105(f326(f326(f235(x66233),x66231),x66234))
% 225.14/225.11 [7693]~P108(x76931)+~P13(x76931,f326(f326(f134(x76931),x76934),x76935))+~P105(f326(f326(f328(x76931),x76933),f326(f172(x76931),x76935)))+~P105(f326(f326(f328(x76931),x76932),f326(f172(x76931),x76934)))+P105(f326(f326(f234(x76931),x76932),x76933))
% 225.14/225.12 [8783]~P109(x87831)+~P105(f326(f326(f235(f925(x87831,a913)),f302(x87831,x87835,x87832)),f302(x87831,x87834,x87833)))+~P105(f326(f326(f234(x87831),x87835),x87832))+P105(f326(f326(f235(x87831),x87832),x87833))+P105(f326(f326(f235(x87831),x87834),x87835))
% 225.14/225.12 [10212]~P17(x102122,x102125,x102123)+E(x102121,f188(f925(x102122,a913)))+~E(f326(f326(x102125,f326(x102124,f372(x102121,x102124,x102123,x102125,x102122))),f326(x102124,f373(x102121,x102124,x102123,x102125,x102122))),f326(x102124,f326(f326(x102125,f372(x102121,x102124,x102123,x102125,x102122)),f373(x102121,x102124,x102123,x102125,x102122))))+E(f326(x102123,f326(f309(x102122,x102122,x102124),x102121)),f326(x102124,f326(x102123,x102121)))+~P105(f326(f60(x102122),x102121))
% 225.14/225.12 [6619]~P18(x66192,x66195,x66193)+E(x66191,f188(f925(x66192,a913)))+~P105(f326(f60(x66192),x66191))+E(f326(x66193,f326(f326(f308(x66192),x66194),x66191)),f326(f326(x66195,x66194),f326(x66193,x66191)))+P105(f326(f326(f328(x66192),x66194),x66191))
% 225.14/225.12 [7452]~P17(x74522,x74523,x74524)+E(f326(f326(x74523,f326(x74524,x74521)),f326(x74524,x74525)),f326(x74524,x74525))+E(x74521,f188(f925(x74522,a913)))+~P105(f326(f60(x74522),x74525))+~P105(f326(f326(f234(f925(x74522,a913)),x74521),x74525))
% 225.14/225.12 [7828]~P18(x78284,x78285,x78281)+E(f326(x78281,x78282),x78283)+~P105(f326(f60(x78284),x78282))+~E(f326(f326(f3(f925(x78284,a913)),x78282),f326(f326(f308(x78284),x78283),f188(f925(x78284,a913)))),f188(f925(x78284,a913)))+~P105(f326(f326(f328(x78284),x78283),x78282))
% 225.14/225.12 [8704]~P69(x87041)+~P123(x87041)+~P105(f326(f60(x87042),x87045))+P105(f326(f326(f286(x87041),f326(f326(f11(x87042,x87041),x87043),x87044)),f326(f326(f11(x87042,x87041),x87043),x87045)))+~P105(f326(f326(f234(f925(x87042,a913)),x87044),x87045))
% 225.14/225.12 [8753]E(x87531,x87532)+~P8(x87533,x87534,x87535)+E(f326(f326(f102(f925(x87533,a913)),x87531),x87532),f188(f925(x87533,a913)))+~P105(f326(f326(f328(f925(x87533,a913)),x87532),f326(f326(f59(x87533),x87534),x87535)))+~P105(f326(f326(f328(f925(x87533,a913)),x87531),f326(f326(f59(x87533),x87534),x87535)))
% 225.14/225.12 [9561]~P70(x95612)+~E(f326(x95613,f882(x95613,x95614,x95615,x95611,x95612)),f2(x95612))+E(f326(f326(f8(x95611,x95612),x95613),x95614),f326(f326(f8(x95611,x95612),x95613),x95615))+~P105(f326(f60(x95611),x95615))+~P105(f326(f326(f234(f925(x95611,a913)),x95614),x95615))
% 225.14/225.12 [9562]~P70(x95622)+~E(f326(x95623,f884(x95623,x95624,x95625,x95621,x95622)),f2(x95622))+E(f326(f326(f8(x95621,x95622),x95623),x95624),f326(f326(f8(x95621,x95622),x95623),x95625))+~P105(f326(f60(x95621),x95625))+~P105(f326(f326(f234(f925(x95621,a913)),x95624),x95625))
% 225.14/225.12 [9563]~P69(x95632)+~E(f326(x95633,f699(x95633,x95634,x95635,x95631,x95632)),f77(x95632))+E(f326(f326(f11(x95631,x95632),x95633),x95634),f326(f326(f11(x95631,x95632),x95633),x95635))+~P105(f326(f60(x95631),x95635))+~P105(f326(f326(f234(f925(x95631,a913)),x95634),x95635))
% 225.14/225.12 [9564]~P69(x95642)+~E(f326(x95643,f712(x95643,x95644,x95645,x95641,x95642)),f77(x95642))+E(f326(f326(f11(x95641,x95642),x95643),x95644),f326(f326(f11(x95641,x95642),x95643),x95645))+~P105(f326(f60(x95641),x95645))+~P105(f326(f326(f234(f925(x95641,a913)),x95644),x95645))
% 225.14/225.12 [10045]~P86(x100451)+~P105(f326(f60(x100452),x100455))+~P105(f326(f326(f234(x100451),f2(x100451)),f326(x100453,f872(x100453,x100454,x100455,x100452,x100451))))+P105(f326(f326(f234(x100451),f326(f326(f8(x100452,x100451),x100453),x100454)),f326(f326(f8(x100452,x100451),x100453),x100455)))+~P105(f326(f326(f234(f925(x100452,a913)),x100454),x100455))
% 225.14/225.12 [7690]E(x76901,f2(a917))+P105(f326(x76902,x76903))+~E(x76904,f326(f326(f79(a917),f326(f326(f80(a917),x76901),x76903)),x76905))+~P105(f326(f326(f235(a917),x76905),x76901))+~P105(f326(x76902,f326(f326(f35(a917),x76904),x76901)))
% 225.14/225.12 [7766]E(x77661,f2(a917))+P105(f326(x77662,x77663))+~P105(f326(x77662,f44(a917,x77664,x77661)))+~E(x77664,f326(f326(f79(a917),f326(f326(f80(a917),x77661),x77665)),x77663))+~P105(f326(f326(f235(a917),x77663),x77661))
% 225.14/225.12 [8058]~P62(x80583)+E(f326(x80581,x80582),f2(x80583))+~P105(f326(f60(x80584),x80585))+E(f326(f326(f11(x80584,x80583),x80581),f326(f326(f3(f925(x80584,a913)),x80585),f326(f326(f308(x80584),x80582),f188(f925(x80584,a913))))),f326(f326(f11(x80584,x80583),x80581),x80585))+P105(f326(f326(f328(x80584),x80582),x80585))
% 225.14/225.12 [8454]~P70(x84541)+~P105(f326(f60(x84542),x84545))+~P105(f326(f60(x84542),x84544))+~E(f326(f326(f102(f925(x84542,a913)),x84544),x84545),f188(f925(x84542,a913)))+E(f326(f326(f79(x84541),f326(f326(f8(x84542,x84541),x84543),x84544)),f326(f326(f8(x84542,x84541),x84543),x84545)),f326(f326(f8(x84542,x84541),x84543),f326(f326(f101(f925(x84542,a913)),x84544),x84545)))
% 225.14/225.12 [8456]~P69(x84561)+~P105(f326(f60(x84562),x84565))+~P105(f326(f60(x84562),x84564))+~E(f326(f326(f102(f925(x84562,a913)),x84564),x84565),f188(f925(x84562,a913)))+E(f326(f326(f80(x84561),f326(f326(f11(x84562,x84561),x84563),x84564)),f326(f326(f11(x84562,x84561),x84563),x84565)),f326(f326(f11(x84562,x84561),x84563),f326(f326(f101(f925(x84562,a913)),x84564),x84565)))
% 225.14/225.12 [8554]~P62(x85543)+E(f326(x85541,x85542),f2(x85543))+~P105(f326(f60(x85544),x85545))+E(f326(f326(f11(x85544,x85543),x85541),f326(f326(f3(f925(x85544,a913)),x85545),f326(f326(f308(x85544),x85542),f188(f925(x85544,a913))))),f326(f326(f290(x85543),f326(f326(f11(x85544,x85543),x85541),x85545)),f326(x85541,x85542)))+~P105(f326(f326(f328(x85544),x85542),x85545))
% 225.14/225.12 [9272]~P8(x92721,x92725,x92724)+~E(f326(f326(f59(x92721),f326(f326(f308(x92721),x92722),f188(f925(x92721,a913)))),x92724),f326(f326(f59(x92721),f326(f326(f308(x92721),x92723),f188(f925(x92721,a913)))),x92724))+~P105(f326(f326(f328(x92721),x92723),x92725))+~P105(f326(f326(f328(x92721),x92722),x92725))+P105(f326(f326(f328(f924(x92721,x92721)),f326(f326(f251(x92721,x92721),x92722),x92723)),x92724))
% 225.14/225.12 [9294]~P8(x92941,x92945,x92943)+E(f326(f326(f59(x92941),f326(f326(f308(x92941),x92942),f188(f925(x92941,a913)))),x92943),f326(f326(f59(x92941),f326(f326(f308(x92941),x92944),f188(f925(x92941,a913)))),x92943))+~P105(f326(f326(f328(x92941),x92944),x92945))+~P105(f326(f326(f328(x92941),x92942),x92945))+~P105(f326(f326(f328(f924(x92941,x92941)),f326(f326(f251(x92941,x92941),x92942),x92944)),x92943))
% 225.14/225.12 [9590]~P69(x95901)+~P105(f326(f60(x95902),x95905))+~P105(f326(f60(x95902),x95904))+~E(f326(f326(f102(f925(x95902,a913)),x95904),x95905),f188(f925(x95902,a913)))+E(f326(f326(f80(x95901),f326(f326(f326(f64(x95901,x95902,f80(x95901)),x95903),f77(x95901)),x95904)),f326(f326(f326(f64(x95901,x95902,f80(x95901)),x95903),f77(x95901)),x95905)),f326(f326(f326(f64(x95901,x95902,f80(x95901)),x95903),f77(x95901)),f326(f326(f101(f925(x95902,a913)),x95904),x95905)))
% 225.14/225.12 [9601]~P70(x96011)+~E(f326(x96013,f455(x96013,x96015,x96014,x96012,x96011)),f2(x96011))+~P105(f326(f60(x96012),x96014))+~P105(f326(f60(x96012),x96015))+E(f326(f326(f79(x96011),f326(f326(f8(x96012,x96011),x96013),x96014)),f326(f326(f8(x96012,x96011),x96013),x96015)),f326(f326(f8(x96012,x96011),x96013),f326(f326(f101(f925(x96012,a913)),x96014),x96015)))
% 225.14/225.12 [9602]~P70(x96021)+~E(f326(x96023,f460(x96023,x96025,x96024,x96022,x96021)),f2(x96021))+~P105(f326(f60(x96022),x96024))+~P105(f326(f60(x96022),x96025))+E(f326(f326(f79(x96021),f326(f326(f8(x96022,x96021),x96023),x96024)),f326(f326(f8(x96022,x96021),x96023),x96025)),f326(f326(f8(x96022,x96021),x96023),f326(f326(f101(f925(x96022,a913)),x96024),x96025)))
% 225.14/225.12 [9603]~P69(x96031)+~E(f326(x96033,f456(x96033,x96035,x96034,x96032,x96031)),f77(x96031))+~P105(f326(f60(x96032),x96034))+~P105(f326(f60(x96032),x96035))+E(f326(f326(f80(x96031),f326(f326(f11(x96032,x96031),x96033),x96034)),f326(f326(f11(x96032,x96031),x96033),x96035)),f326(f326(f11(x96032,x96031),x96033),f326(f326(f101(f925(x96032,a913)),x96034),x96035)))
% 225.14/225.12 [9604]~P69(x96041)+~E(f326(x96043,f457(x96043,x96045,x96044,x96042,x96041)),f77(x96041))+~P105(f326(f60(x96042),x96044))+~P105(f326(f60(x96042),x96045))+E(f326(f326(f80(x96041),f326(f326(f11(x96042,x96041),x96043),x96044)),f326(f326(f11(x96042,x96041),x96043),x96045)),f326(f326(f11(x96042,x96041),x96043),f326(f326(f101(f925(x96042,a913)),x96044),x96045)))
% 225.14/225.12 [9821]~P69(x98211)+~E(f326(x98213,f454(x98213,x98215,x98214,x98212,x98211)),f77(x98211))+~P105(f326(f60(x98212),x98214))+~P105(f326(f60(x98212),x98215))+E(f326(f326(f80(x98211),f326(f326(f326(f64(x98211,x98212,f80(x98211)),x98213),f77(x98211)),x98214)),f326(f326(f326(f64(x98211,x98212,f80(x98211)),x98213),f77(x98211)),x98215)),f326(f326(f326(f64(x98211,x98212,f80(x98211)),x98213),f77(x98211)),f326(f326(f101(f925(x98212,a913)),x98214),x98215)))
% 225.14/225.12 [9932]~P70(x99322)+E(f326(f326(f8(x99321,x99322),x99323),x99324),f326(f326(f8(x99321,x99322),x99323),x99325))+~P105(f326(f60(x99321),x99325))+~P105(f326(f326(f234(f925(x99321,a913)),x99324),x99325))+P105(f326(f326(f328(x99321),f882(x99323,x99324,x99325,x99321,x99322)),f326(f326(f3(f925(x99321,a913)),x99325),x99324)))
% 225.14/225.12 [9933]~P70(x99332)+E(f326(f326(f8(x99331,x99332),x99333),x99334),f326(f326(f8(x99331,x99332),x99333),x99335))+~P105(f326(f60(x99331),x99335))+~P105(f326(f326(f234(f925(x99331,a913)),x99334),x99335))+P105(f326(f326(f328(x99331),f884(x99333,x99334,x99335,x99331,x99332)),f326(f326(f3(f925(x99331,a913)),x99335),x99334)))
% 225.14/225.12 [9934]~P69(x99342)+E(f326(f326(f11(x99341,x99342),x99343),x99344),f326(f326(f11(x99341,x99342),x99343),x99345))+~P105(f326(f60(x99341),x99345))+~P105(f326(f326(f234(f925(x99341,a913)),x99344),x99345))+P105(f326(f326(f328(x99341),f699(x99343,x99344,x99345,x99341,x99342)),f326(f326(f3(f925(x99341,a913)),x99345),x99344)))
% 225.14/225.12 [9935]~P69(x99352)+E(f326(f326(f11(x99351,x99352),x99353),x99354),f326(f326(f11(x99351,x99352),x99353),x99355))+~P105(f326(f60(x99351),x99355))+~P105(f326(f326(f234(f925(x99351,a913)),x99354),x99355))+P105(f326(f326(f328(x99351),f712(x99353,x99354,x99355,x99351,x99352)),f326(f326(f3(f925(x99351,a913)),x99355),x99354)))
% 225.14/225.12 [9953]~P70(x99531)+~P105(f326(f60(x99532),x99534))+~P105(f326(f60(x99532),x99535))+E(f326(f326(f79(x99531),f326(f326(f8(x99532,x99531),x99533),x99534)),f326(f326(f8(x99532,x99531),x99533),x99535)),f326(f326(f8(x99532,x99531),x99533),f326(f326(f101(f925(x99532,a913)),x99534),x99535)))+P105(f326(f326(f328(x99532),f455(x99533,x99535,x99534,x99532,x99531)),f326(f326(f102(f925(x99532,a913)),x99534),x99535)))
% 225.14/225.12 [9954]~P70(x99541)+~P105(f326(f60(x99542),x99544))+~P105(f326(f60(x99542),x99545))+E(f326(f326(f79(x99541),f326(f326(f8(x99542,x99541),x99543),x99544)),f326(f326(f8(x99542,x99541),x99543),x99545)),f326(f326(f8(x99542,x99541),x99543),f326(f326(f101(f925(x99542,a913)),x99544),x99545)))+P105(f326(f326(f328(x99542),f460(x99543,x99545,x99544,x99542,x99541)),f326(f326(f102(f925(x99542,a913)),x99544),x99545)))
% 225.14/225.12 [9955]~P69(x99551)+~P105(f326(f60(x99552),x99554))+~P105(f326(f60(x99552),x99555))+E(f326(f326(f80(x99551),f326(f326(f11(x99552,x99551),x99553),x99554)),f326(f326(f11(x99552,x99551),x99553),x99555)),f326(f326(f11(x99552,x99551),x99553),f326(f326(f101(f925(x99552,a913)),x99554),x99555)))+P105(f326(f326(f328(x99552),f456(x99553,x99555,x99554,x99552,x99551)),f326(f326(f102(f925(x99552,a913)),x99554),x99555)))
% 225.14/225.12 [9956]~P69(x99561)+~P105(f326(f60(x99562),x99564))+~P105(f326(f60(x99562),x99565))+E(f326(f326(f80(x99561),f326(f326(f11(x99562,x99561),x99563),x99564)),f326(f326(f11(x99562,x99561),x99563),x99565)),f326(f326(f11(x99562,x99561),x99563),f326(f326(f101(f925(x99562,a913)),x99564),x99565)))+P105(f326(f326(f328(x99562),f457(x99563,x99565,x99564,x99562,x99561)),f326(f326(f102(f925(x99562,a913)),x99564),x99565)))
% 225.14/225.12 [9962]~P86(x99625)+~P105(f326(f60(x99621),x99624))+P105(f326(f326(f234(x99625),f326(f326(f8(x99621,x99625),x99622),x99623)),f326(f326(f8(x99621,x99625),x99622),x99624)))+~P105(f326(f326(f234(f925(x99621,a913)),x99623),x99624))+P105(f326(f326(f328(x99621),f872(x99622,x99623,x99624,x99621,x99625)),f326(f326(f3(f925(x99621,a913)),x99624),x99623)))
% 225.14/225.12 [10006]~P69(x100061)+~P105(f326(f60(x100062),x100064))+~P105(f326(f60(x100062),x100065))+E(f326(f326(f80(x100061),f326(f326(f326(f64(x100061,x100062,f80(x100061)),x100063),f77(x100061)),x100064)),f326(f326(f326(f64(x100061,x100062,f80(x100061)),x100063),f77(x100061)),x100065)),f326(f326(f326(f64(x100061,x100062,f80(x100061)),x100063),f77(x100061)),f326(f326(f101(f925(x100062,a913)),x100064),x100065)))+P105(f326(f326(f328(x100062),f454(x100063,x100065,x100064,x100062,x100061)),f326(f326(f102(f925(x100062,a913)),x100064),x100065)))
% 225.14/225.12 [8962]~P18(x89621,x89624,x89625)+~P105(f326(f60(x89621),x89622))+E(f326(f326(f3(f925(x89621,a913)),x89622),f326(f326(f308(x89621),x89623),f188(f925(x89621,a913)))),f188(f925(x89621,a913)))+~P105(f326(f326(f328(x89621),x89623),x89622))+E(f326(f326(x89624,x89623),f326(x89625,f326(f326(f3(f925(x89621,a913)),x89622),f326(f326(f308(x89621),x89623),f188(f925(x89621,a913)))))),f326(x89625,x89622))
% 225.14/225.12 [9040]~P18(x90401,x90404,x90405)+~P105(f326(f60(x90401),x90403))+~P105(f326(f60(x90401),x90402))+E(f326(f326(f102(f925(x90401,a913)),x90402),x90403),f188(f925(x90401,a913)))+E(f326(f326(x90404,f326(x90405,f326(f326(f101(f925(x90401,a913)),x90402),x90403))),f326(x90405,f326(f326(f102(f925(x90401,a913)),x90402),x90403))),f326(f326(x90404,f326(x90405,x90402)),f326(x90405,x90403)))
% 225.14/225.12 [9606]~P105(f326(f326(f234(a1),x96064),f2(a1)))+~P105(f326(f326(f235(a1),x96063),x96065))+P105(f326(f326(f234(a1),x96061),x96062))+~P105(f326(f326(f235(a1),x96063),x96064))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96063),x96062)),x96065)),f326(f326(f79(a1),f326(f326(f80(a1),x96063),x96061)),x96064)))
% 225.14/225.12 [9608]~P105(f326(f326(f234(a1),f2(a1)),x96085))+P105(f326(f326(f234(a1),x96081),x96082))+~P105(f326(f326(f235(a1),x96083),x96084))+~P105(f326(f326(f235(a1),x96085),x96084))+~P105(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96084),x96081)),x96085)),f326(f326(f79(a1),f326(f326(f80(a1),x96084),x96082)),x96083)))
% 225.14/225.12 [9730]~P62(x97305)+E(f326(x97301,f453(x97301,x97302,x97303,x97304,x97305)),f2(x97305))+~P105(f326(f60(x97304),x97303))+~P105(f326(f60(x97304),x97302))+E(f326(f326(f290(x97305),f326(f326(f80(x97305),f326(f326(f11(x97304,x97305),x97301),x97303)),f326(f326(f11(x97304,x97305),x97301),x97302))),f326(f326(f11(x97304,x97305),x97301),f326(f326(f102(f925(x97304,a913)),x97303),x97302))),f326(f326(f11(x97304,x97305),x97301),f326(f326(f101(f925(x97304,a913)),x97303),x97302)))
% 225.14/225.12 [9998]~P62(x99981)+~P105(f326(f60(x99982),x99984))+~P105(f326(f60(x99982),x99985))+E(f326(f326(f290(x99981),f326(f326(f80(x99981),f326(f326(f11(x99982,x99981),x99983),x99984)),f326(f326(f11(x99982,x99981),x99983),x99985))),f326(f326(f11(x99982,x99981),x99983),f326(f326(f102(f925(x99982,a913)),x99984),x99985))),f326(f326(f11(x99982,x99981),x99983),f326(f326(f101(f925(x99982,a913)),x99984),x99985)))+P105(f326(f326(f328(x99982),f453(x99983,x99985,x99984,x99982,x99981)),f326(f326(f102(f925(x99982,a913)),x99984),x99985)))
% 225.14/225.12 [9313]E(f326(f326(f134(x93131),x93132),x93133),f326(f326(f134(x93131),x93134),x93135))+~E(f326(f326(f175(x93131),f326(f189(f918(x93131)),x93134)),x93132),x93134)+~E(f326(f326(f175(x93131),f326(f189(f918(x93131)),x93132)),x93134),x93132)+~E(x93135,f326(f326(f134(x93131),f326(f326(f138(x93131),f326(f189(f918(x93131)),x93134)),x93132)),x93133))+~E(f326(f326(f134(x93131),f326(f326(f138(x93131),f326(f189(f918(x93131)),x93132)),x93134)),x93135),x93133)
% 225.14/225.12 [9728]~P108(x97282)+E(f326(f326(f148(x97281,x97282,x97283),x97284),f170(x97281,x97284,x97285)),x97285)+~P13(x97282,f326(f326(f154(x97281,x97282),x97283),x97285))+~P105(f326(f326(f328(x97281),x97284),f326(f172(x97281),x97285)))+~E(f326(f141(x97281),f326(f136(x97281,f326(f326(f10(x97282,a913,x97281),f326(a323,f326(x97283,x97284))),x97283)),x97285)),x97284)
% 225.14/225.12 [10063]~P66(x100631)+~P105(f326(f65(x100631,x100631,f80(x100631),x100632,x100633),x100635))+~P105(f326(f326(f328(x100631),x100634),x100633))+P105(f326(f326(f328(x100631),x100632),x100633))+P105(f326(f65(x100631,x100631,f80(x100631),x100634,f326(f326(f308(x100631),x100632),f326(f326(f3(f925(x100631,a913)),x100633),f326(f326(f308(x100631),x100634),f188(f925(x100631,a913)))))),x100635))
% 225.14/225.12 [7460]E(x74601,x74602)+~P25(x74604,x74605,x74603,x74606)+~E(f326(x74603,x74601),f326(x74603,x74602))+~P105(f326(f326(f328(x74604),x74602),x74606))+~P105(f326(f326(f328(x74604),x74601),x74606))
% 225.14/225.12 [6712]~P143(x67124)+E(x67121,x67122)+~E(x67125,x67126)+E(x67123,f2(x67124))+~E(f326(f326(f79(x67124),x67125),f326(f326(f80(x67124),x67123),x67121)),f326(f326(f79(x67124),x67126),f326(f326(f80(x67124),x67123),x67122)))
% 225.14/225.12 [7746]~P108(x77461)+~P5(x77461)+~P105(f326(f326(f235(x77461),x77462),f326(x77465,x77466)))+~P105(f326(f326(f328(x77463),x77466),x77464))+P105(f326(f326(f235(x77461),x77462),f326(f326(f38(x77463,x77461),x77464),x77465)))
% 225.14/225.12 [10059]~P25(x100592,x100591,x100593,x100594)+~P25(x100591,x100592,x100596,x100595)+P26(x100591,x100592,f826(x100593,x100594,x100595,x100596,x100592,x100591),x100595,x100594)+~P105(f326(f326(f234(f925(x100592,a913)),f326(f309(x100591,x100592,x100596),x100595)),x100594))+~P105(f326(f326(f234(f925(x100591,a913)),f326(f309(x100592,x100591,x100593),x100594)),x100595))
% 225.14/225.12 [8425]~P108(x84251)+~P5(x84251)+~P105(f326(f326(f235(x84251),f326(x84254,x84256)),x84255))+~P105(f326(f326(f328(x84252),x84256),x84253))+P105(f326(f326(f235(x84251),f326(f326(f39(x84252,x84251),x84253),x84254)),x84255))
% 225.14/225.12 [8676]~P19(x86762,x86765,x86766,x86761)+~P105(f326(f60(x86762),x86764))+~P105(f326(f60(x86762),x86763))+~E(f326(f326(f102(f925(x86762,a913)),x86763),x86764),f188(f925(x86762,a913)))+E(f326(x86761,f326(f326(f101(f925(x86762,a913)),x86763),x86764)),f326(f72(x86765,x86765,x86765,f326(x86761,x86763)),f326(x86761,x86764)))
% 225.14/225.12 [10273]~P69(x102731)+~E(f814(x102734,x102735,x102733,x102736,x102732,x102731),f815(x102734,x102735,x102733,x102736,x102732,x102731))+~P105(f326(f60(x102732),x102736))+E(f326(f326(f326(f64(x102731,x102732,f80(x102731)),f326(f326(f10(f925(x102733,a913),x102731,x102732),f326(f326(f64(x102731,x102733,f80(x102731)),x102734),f77(x102731))),x102735)),f77(x102731)),x102736),f326(f326(f326(f64(x102731,x102733,f80(x102731)),x102734),f77(x102731)),f326(f326(f38(x102732,f925(x102733,a913)),x102736),x102735)))+P105(f326(f326(f328(x102732),f813(x102734,x102735,x102733,x102736,x102732,x102731)),x102736))
% 225.14/225.12 [10303]~P69(x103031)+~E(f814(x103034,x103035,x103033,x103036,x103032,x103031),f815(x103034,x103035,x103033,x103036,x103032,x103031))+~P105(f326(f60(x103032),x103036))+E(f326(f326(f326(f64(x103031,x103032,f80(x103031)),f326(f326(f10(f925(x103033,a913),x103031,x103032),f326(f326(f64(x103031,x103033,f80(x103031)),x103034),f77(x103031))),x103035)),f77(x103031)),x103036),f326(f326(f326(f64(x103031,x103033,f80(x103031)),x103034),f77(x103031)),f326(f326(f38(x103032,f925(x103033,a913)),x103036),x103035)))+~P105(f326(f60(x103033),f326(x103035,f813(x103034,x103035,x103033,x103036,x103032,x103031))))
% 225.14/225.12 [10306]~P69(x103061)+~P105(f326(f60(x103062),x103066))+E(f326(f326(f326(f64(x103061,x103062,f80(x103061)),f326(f326(f10(f925(x103063,a913),x103061,x103062),f326(f326(f64(x103061,x103063,f80(x103061)),x103064),f77(x103061))),x103065)),f77(x103061)),x103066),f326(f326(f326(f64(x103061,x103063,f80(x103061)),x103064),f77(x103061)),f326(f326(f38(x103062,f925(x103063,a913)),x103066),x103065)))+P105(f326(f326(f328(x103062),f813(x103064,x103065,x103063,x103066,x103062,x103061)),x103066))+P105(f326(f326(f328(x103062),f815(x103064,x103065,x103063,x103066,x103062,x103061)),x103066))
% 225.14/225.12 [10307]~P69(x103071)+~P105(f326(f60(x103072),x103076))+E(f326(f326(f326(f64(x103071,x103072,f80(x103071)),f326(f326(f10(f925(x103073,a913),x103071,x103072),f326(f326(f64(x103071,x103073,f80(x103071)),x103074),f77(x103071))),x103075)),f77(x103071)),x103076),f326(f326(f326(f64(x103071,x103073,f80(x103071)),x103074),f77(x103071)),f326(f326(f38(x103072,f925(x103073,a913)),x103076),x103075)))+P105(f326(f326(f328(x103072),f813(x103074,x103075,x103073,x103076,x103072,x103071)),x103076))+P105(f326(f326(f328(x103072),f814(x103074,x103075,x103073,x103076,x103072,x103071)),x103076))
% 225.14/225.12 [10326]~P69(x103261)+~P105(f326(f60(x103262),x103266))+E(f326(f326(f326(f64(x103261,x103262,f80(x103261)),f326(f326(f10(f925(x103263,a913),x103261,x103262),f326(f326(f64(x103261,x103263,f80(x103261)),x103264),f77(x103261))),x103265)),f77(x103261)),x103266),f326(f326(f326(f64(x103261,x103263,f80(x103261)),x103264),f77(x103261)),f326(f326(f38(x103262,f925(x103263,a913)),x103266),x103265)))+P105(f326(f326(f328(x103262),f815(x103264,x103265,x103263,x103266,x103262,x103261)),x103266))+~P105(f326(f60(x103263),f326(x103265,f813(x103264,x103265,x103263,x103266,x103262,x103261))))
% 225.14/225.12 [10327]~P69(x103271)+~P105(f326(f60(x103272),x103276))+E(f326(f326(f326(f64(x103271,x103272,f80(x103271)),f326(f326(f10(f925(x103273,a913),x103271,x103272),f326(f326(f64(x103271,x103273,f80(x103271)),x103274),f77(x103271))),x103275)),f77(x103271)),x103276),f326(f326(f326(f64(x103271,x103273,f80(x103271)),x103274),f77(x103271)),f326(f326(f38(x103272,f925(x103273,a913)),x103276),x103275)))+P105(f326(f326(f328(x103272),f814(x103274,x103275,x103273,x103276,x103272,x103271)),x103276))+~P105(f326(f60(x103273),f326(x103275,f813(x103274,x103275,x103273,x103276,x103272,x103271))))
% 225.14/225.12 [10338]~P69(x103381)+~E(f326(f326(f102(f925(x103383,a913)),f326(x103385,f815(x103384,x103385,x103383,x103386,x103382,x103381))),f326(x103385,f814(x103384,x103385,x103383,x103386,x103382,x103381))),f188(f925(x103383,a913)))+~P105(f326(f60(x103382),x103386))+E(f326(f326(f326(f64(x103381,x103382,f80(x103381)),f326(f326(f10(f925(x103383,a913),x103381,x103382),f326(f326(f64(x103381,x103383,f80(x103381)),x103384),f77(x103381))),x103385)),f77(x103381)),x103386),f326(f326(f326(f64(x103381,x103383,f80(x103381)),x103384),f77(x103381)),f326(f326(f38(x103382,f925(x103383,a913)),x103386),x103385)))+P105(f326(f326(f328(x103382),f813(x103384,x103385,x103383,x103386,x103382,x103381)),x103386))
% 225.14/225.12 [10349]~P69(x103491)+~E(f326(f326(f102(f925(x103493,a913)),f326(x103495,f815(x103494,x103495,x103493,x103496,x103492,x103491))),f326(x103495,f814(x103494,x103495,x103493,x103496,x103492,x103491))),f188(f925(x103493,a913)))+~P105(f326(f60(x103492),x103496))+E(f326(f326(f326(f64(x103491,x103492,f80(x103491)),f326(f326(f10(f925(x103493,a913),x103491,x103492),f326(f326(f64(x103491,x103493,f80(x103491)),x103494),f77(x103491))),x103495)),f77(x103491)),x103496),f326(f326(f326(f64(x103491,x103493,f80(x103491)),x103494),f77(x103491)),f326(f326(f38(x103492,f925(x103493,a913)),x103496),x103495)))+~P105(f326(f60(x103493),f326(x103495,f813(x103494,x103495,x103493,x103496,x103492,x103491))))
% 225.14/225.12 [9402]~P123(x94021)+~P119(x94021)+~P105(f326(f326(f286(x94021),x94022),x94025))+~P105(f326(f326(f286(x94021),x94022),f326(f326(f79(x94021),x94023),x94026)))+P105(f326(f326(f286(x94021),x94022),f326(f326(f79(x94021),f326(f326(f3(x94021),x94023),f326(f326(f80(x94021),x94024),x94025))),x94026)))
% 225.14/225.12 [9595]~P123(x95951)+~P119(x95951)+~P105(f326(f326(f286(x95951),x95952),x95955))+P105(f326(f326(f286(x95951),x95952),f326(f326(f79(x95951),x95953),x95954)))+~P105(f326(f326(f286(x95951),x95952),f326(f326(f79(x95951),f326(f326(f3(x95951),x95953),f326(f326(f80(x95951),x95956),x95955))),x95954)))
% 225.14/225.12 [9010]E(x90101,x90102)+~P56(x90104,x90105,x90106,x90103,x90107)+~E(f326(x90103,x90101),f326(x90103,x90102))+~P105(f326(f326(f328(x90105),x90102),x90107))+~P105(f326(f326(f328(x90105),x90101),x90107))
% 225.14/225.12 [10316]~P105(f326(x103162,x103164))+~E(x103165,f326(f136(x103161,x103162),x103167))+E(f326(f136(x103161,x103162),x103163),f326(f326(f151(x103161),x103164),x103165))+~E(x103163,f326(f326(f134(x103161),x103166),f326(f326(f151(x103161),x103164),x103167)))+P105(f326(x103162,f748(x103165,x103164,x103163,x103162,x103161,x103166,x103167)))
% 225.14/225.12 [10317]~P105(f326(x103174,x103172))+~E(x103173,f326(f136(x103171,x103174),x103177))+E(f326(f326(f151(x103171),x103172),x103173),f326(f136(x103171,x103174),x103175))+~E(x103175,f326(f326(f134(x103171),x103176),f326(f326(f151(x103171),x103172),x103177)))+P105(f326(x103174,f749(x103175,x103174,x103173,x103172,x103171,x103176,x103177)))
% 225.14/225.12 [10361]~P105(f326(x103612,x103614))+~E(x103615,f326(f136(x103611,x103612),x103617))+E(f326(f136(x103611,x103612),x103613),f326(f326(f151(x103611),x103614),x103615))+~E(x103613,f326(f326(f134(x103611),x103616),f326(f326(f151(x103611),x103614),x103617)))+P105(f326(f326(f328(x103611),f748(x103615,x103614,x103613,x103612,x103611,x103616,x103617)),f326(f172(x103611),x103616)))
% 225.14/225.12 [10362]~P105(f326(x103624,x103622))+~E(x103623,f326(f136(x103621,x103624),x103627))+E(f326(f326(f151(x103621),x103622),x103623),f326(f136(x103621,x103624),x103625))+~E(x103625,f326(f326(f134(x103621),x103626),f326(f326(f151(x103621),x103622),x103627)))+P105(f326(f326(f328(x103621),f749(x103625,x103624,x103623,x103622,x103621,x103626,x103627)),f326(f172(x103621),x103626)))
% 225.14/225.12 [10366]~P8(x103661,x103667,x103666)+~P11(x103661,f925(x103665,a913),x103666,x103664)+P105(f326(f326(f328(x103661),f513(x103662,x103663,x103664,x103665,x103666,x103667,x103661)),x103667))+~P105(f326(f326(f328(f925(x103661,a913)),x103663),f326(f326(f59(x103661),x103667),x103666)))+P105(f326(f326(f328(f925(x103665,a913)),f326(f326(f38(x103661,f925(x103665,a913)),x103663),x103664)),x103662))
% 225.14/225.12 [10425]~P8(x104252,x104256,x104257)+~P11(x104252,f925(x104251,a913),x104257,x104254)+~P105(f326(f326(f328(f925(x104252,a913)),x104253),f326(f326(f59(x104252),x104256),x104257)))+~P105(f326(f326(f328(f925(x104251,a913)),f326(x104254,f513(x104255,x104253,x104254,x104251,x104257,x104256,x104252))),x104255))+P105(f326(f326(f328(f925(x104251,a913)),f326(f326(f38(x104252,f925(x104251,a913)),x104253),x104254)),x104255))
% 225.14/225.12 [8596]~P69(x85962)+~P25(x85961,x85965,x85968,x85964)+~E(x85963,f326(f72(x85965,x85962,x85961,x85966),x85968))+~E(x85967,f326(f309(x85961,x85965,x85968),x85964))+E(f326(f326(f11(x85961,x85962),x85963),x85964),f326(f326(f11(x85965,x85962),x85966),x85967))
% 225.14/225.12 [10429]~P69(x104292)+~P25(x104295,x104291,x104298,x104297)+~E(f326(x104296,f597(x104293,x104296,x104294,x104297,x104298,x104291,x104295,x104292)),f326(f326(f72(x104291,x104292,x104295,x104293),x104298),f597(x104293,x104296,x104294,x104297,x104298,x104291,x104295,x104292)))+~E(x104294,f326(f309(x104295,x104291,x104298),x104297))+E(f326(f326(f11(x104291,x104292),x104293),x104294),f326(f326(f11(x104295,x104292),x104296),x104297))
% 225.14/225.12 [10432]~P70(x104322)+~P25(x104321,x104325,x104328,x104324)+~E(x104327,f326(f309(x104321,x104325,x104328),x104324))+E(f326(f326(f8(x104321,x104322),x104323),x104324),f326(f326(f8(x104325,x104322),x104326),x104327))+P105(f326(f326(f328(x104321),f612(x104326,x104323,x104327,x104324,x104328,x104325,x104321,x104322)),x104324))
% 225.14/225.12 [10433]~P69(x104332)+~P25(x104331,x104335,x104338,x104334)+~E(x104337,f326(f309(x104331,x104335,x104338),x104334))+E(f326(f326(f11(x104331,x104332),x104333),x104334),f326(f326(f11(x104335,x104332),x104336),x104337))+P105(f326(f326(f328(x104331),f597(x104336,x104333,x104337,x104334,x104338,x104335,x104331,x104332)),x104334))
% 225.14/225.12 [10438]~P70(x104382)+~P25(x104385,x104381,x104388,x104387)+~E(x104384,f326(f309(x104385,x104381,x104388),x104387))+~E(f326(x104386,f612(x104383,x104386,x104384,x104387,x104388,x104381,x104385,x104382)),f326(x104383,f326(x104388,f612(x104383,x104386,x104384,x104387,x104388,x104381,x104385,x104382))))+E(f326(f326(f8(x104381,x104382),x104383),x104384),f326(f326(f8(x104385,x104382),x104386),x104387))
% 225.14/225.12 [9895]~P23(x98956,x98952,x98955,x98957,x98958,x98951)+~P105(f326(f60(x98952),x98954))+~P105(f326(f60(x98952),x98953))+~E(f326(f326(f102(f925(x98952,a913)),x98953),x98954),f188(f925(x98952,a913)))+E(f326(x98951,f326(f326(f101(f925(x98952,a913)),x98953),x98954)),f326(f326(x98955,f326(x98951,x98953)),f326(x98951,x98954)))
% 225.14/225.12 [10300]~P23(x103008,x103002,x103005,x103007,x103006,x103001)+~E(f326(x103006,f479(x103004,x103003,x103001,x103006,x103007,x103005,x103002)),x103007)+~P105(f326(f60(x103002),x103003))+~P105(f326(f60(x103002),x103004))+E(f326(x103001,f326(f326(f101(f925(x103002,a913)),x103003),x103004)),f326(f326(x103005,f326(x103001,x103003)),f326(x103001,x103004)))
% 225.14/225.12 [10373]~P23(x103738,x103732,x103735,x103737,x103736,x103731)+~P105(f326(f60(x103732),x103733))+~P105(f326(f60(x103732),x103734))+E(f326(x103731,f326(f326(f101(f925(x103732,a913)),x103733),x103734)),f326(f326(x103735,f326(x103731,x103733)),f326(x103731,x103734)))+P105(f326(f326(f328(x103732),f479(x103734,x103733,x103731,x103736,x103737,x103735,x103732)),f326(f326(f102(f925(x103732,a913)),x103733),x103734)))
% 225.14/225.12 [10050]~P8(x100504,x100508,x100505)+~P8(x100501,x100509,x100503)+~P12(x100501,x100504,f925(x100502,a913),x100503,x100505,x100507)+P11(x100501,f925(x100502,a913),x100503,f326(f326(f10(f925(x100504,f925(x100502,a913)),f925(x100502,a913),x100501),f326(f38(x100504,f925(x100502,a913)),f326(f284(x100504,x100504,x100505),f326(f326(f308(x100504),x100506),f188(f925(x100504,a913)))))),x100507))+~P105(f326(f326(f328(x100504),x100506),x100508))
% 225.14/225.12 [5611]~P108(x56113)+~P13(x56113,x56111)+E(x56111,f726(x56112,x56113))+~E(f326(f172(x56113),x56111),x56112)+~P105(f326(f60(x56113),x56112))+~P105(f326(f137(x56113),x56111))
% 225.14/225.12 [7451]P15(x74511,x74512)+~E(f326(x74512,f807(x74512)),f326(x74512,f808(x74512)))+~P105(f326(f326(x74512,f807(x74512)),f807(x74512)))+~P105(f326(f326(x74512,f807(x74512)),f808(x74512)))+~P105(f326(f326(x74512,f808(x74512)),f808(x74512)))+~P105(f326(f326(x74512,x74513),x74513))
% 225.14/225.12 [5234]~P132(x52342)+~P134(x52342)+~P144(x52342)+~P116(x52342)+E(x52341,f2(x52342))+~E(f326(f326(f243(x52342),x52341),x52343),f2(x52342))
% 225.14/225.12 [5235]~P132(x52352)+~P134(x52352)+~P144(x52352)+~P116(x52352)+~E(x52351,f2(a917))+~E(f326(f326(f243(x52352),x52353),x52351),f2(x52352))
% 225.14/225.12 [6694]~P86(x66941)+~E(x66943,f2(x66941))+~E(x66942,f2(x66941))+E(f326(f326(f79(x66941),x66942),x66943),f2(x66941))+~P105(f326(f326(f234(x66941),f2(x66941)),x66943))+~P105(f326(f326(f234(x66941),f2(x66941)),x66942))
% 225.14/225.12 [9078]~E(f326(f250(a917,a917),x90783),f2(a917))+~E(x90781,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x90783)),x90782)),f326(f255(a917,a917),x90783)))+P105(f326(f47(x90781,x90782),x90783))+~P105(f326(f326(f234(a917),f326(f255(a917,a917),x90783)),f2(a917)))+P105(f326(f326(f235(a917),f2(a917)),x90782))+~P105(f326(f326(f235(a917),x90782),f326(f255(a917,a917),x90783)))
% 225.14/225.12 [9086]E(x90861,f2(a917))+~E(x90862,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x90863)),x90861)),f326(f255(a917,a917),x90863)))+P105(f326(f47(x90862,x90861),x90863))+~P105(f326(f326(f235(a917),f2(a917)),x90861))+~P105(f326(f326(f234(a917),f2(a917)),f326(f255(a917,a917),x90863)))+~P105(f326(f326(f235(a917),f326(f255(a917,a917),x90863)),x90861))
% 225.14/225.12 [9104]~E(f326(f250(a917,a917),x91043),f2(a917))+~E(x91041,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x91043)),x91042)),f326(f255(a917,a917),x91043)))+P105(f326(f47(x91041,x91042),x91043))+~P105(f326(f326(f235(a917),f2(a917)),x91042))+~P105(f326(f326(f234(a917),f2(a917)),f326(f255(a917,a917),x91043)))+~P105(f326(f326(f235(a917),f326(f255(a917,a917),x91043)),x91042))
% 225.14/225.12 [7078]~P108(x70782)+E(x70781,f188(f925(x70782,a913)))+E(x70783,f188(f925(x70782,a913)))+~P105(f326(f60(x70782),x70781))+~P105(f326(f60(x70782),x70783))+E(f16(x70782,f326(f326(f101(f925(x70782,a913)),x70783),x70781)),f326(f326(f233(x70782),f16(x70782,x70783)),f16(x70782,x70781)))
% 225.14/225.12 [7079]~P108(x70792)+E(x70791,f188(f925(x70792,a913)))+E(x70793,f188(f925(x70792,a913)))+~P105(f326(f60(x70792),x70791))+~P105(f326(f60(x70792),x70793))+E(f17(x70792,f326(f326(f101(f925(x70792,a913)),x70793),x70791)),f326(f326(f238(x70792),f17(x70792,x70793)),f17(x70792,x70791)))
% 225.14/225.12 [7080]~P99(x70802)+E(x70801,f188(f925(x70802,a913)))+E(x70803,f188(f925(x70802,a913)))+~P105(f326(f60(x70802),x70801))+~P105(f326(f60(x70802),x70803))+E(f12(x70802,f326(f326(f101(f925(x70802,a913)),x70803),x70801)),f326(f326(f101(x70802),f12(x70802,x70803)),f12(x70802,x70801)))
% 225.14/225.12 [7081]~P99(x70812)+E(x70811,f188(f925(x70812,a913)))+E(x70813,f188(f925(x70812,a913)))+~P105(f326(f60(x70812),x70811))+~P105(f326(f60(x70812),x70813))+E(f13(x70812,f326(f326(f101(f925(x70812,a913)),x70813),x70811)),f326(f326(f102(x70812),f13(x70812,x70813)),f13(x70812,x70811)))
% 225.14/225.12 [7721]~P95(x77212)+E(x77211,f188(f925(x77212,a913)))+E(x77213,f188(f925(x77212,a913)))+~P105(f326(f60(x77212),x77211))+~P105(f326(f60(x77212),x77213))+E(f326(f326(f80(x77212),f326(f62(x77212,f80(x77212)),x77213)),f326(f62(x77212,f80(x77212)),x77211)),f326(f62(x77212,f80(x77212)),f326(f326(f101(f925(x77212,a913)),x77213),x77211)))
% 225.14/225.12 [7882]~P108(x78822)+E(x78821,f188(f925(x78822,a913)))+E(x78823,f188(f925(x78822,a913)))+~P105(f326(f60(x78822),x78821))+~P105(f326(f60(x78822),x78823))+E(f326(f326(f238(x78822),f14(x78822,f238(x78822),x78823)),f14(x78822,f238(x78822),x78821)),f14(x78822,f238(x78822),f326(f326(f101(f925(x78822,a913)),x78823),x78821)))
% 225.14/225.12 [7883]~P108(x78832)+E(x78831,f188(f925(x78832,a913)))+E(x78833,f188(f925(x78832,a913)))+~P105(f326(f60(x78832),x78831))+~P105(f326(f60(x78832),x78833))+E(f326(f326(f233(x78832),f15(x78832,f233(x78832),x78833)),f15(x78832,f233(x78832),x78831)),f15(x78832,f233(x78832),f326(f326(f101(f925(x78832,a913)),x78833),x78831)))
% 225.14/225.12 [8911]~P105(f326(x89111,x89113))+P105(f326(x89111,f415(x89111,x89112)))+P105(f326(x89111,f403(x89111,x89112)))+~P105(f326(f326(f235(a1),f2(a1)),x89112))+~P105(f326(f326(f328(a1),x89113),f302(a1,f77(a1),x89112)))+P105(f326(x89111,f326(f326(f3(a1),f403(x89111,x89112)),f326(f326(f80(a1),f414(x89111,x89112)),x89112))))
% 225.14/225.12 [9212]~P105(f326(x92121,x92123))+~P105(f326(x92121,f403(x92121,x92122)))+P105(f326(x92121,f415(x92121,x92122)))+~P105(f326(f326(f235(a1),f2(a1)),x92122))+~P105(f326(f326(f328(a1),x92123),f302(a1,f77(a1),x92122)))+~P105(f326(x92121,f326(f326(f3(a1),f403(x92121,x92122)),f326(f326(f80(a1),f414(x92121,x92122)),x92122))))
% 225.14/225.12 [10465]~P100(x104652)+E(x104651,f188(f925(x104652,a913)))+E(x104653,f188(f925(x104652,a913)))+~P105(f326(f60(x104652),x104651))+~P105(f326(f60(x104652),x104653))+E(f13(x104652,f326(f261(x104652),f326(f326(f10(f925(x104652,a913),a913,x104652),f86(x104652)),f326(f326(f10(f925(x104652,f925(x104652,a913)),f925(x104652,a913),x104652),f326(f10(f925(x104652,a913),a913,x104652),f86(x104652))),f326(f326(f9(x104652,f925(x104652,f925(x104652,a913)),f925(x104652,f925(x104652,a913))),f326(f326(f10(f925(x104652,f925(f925(x104652,a913),f925(x104652,a913))),f925(f925(x104652,f925(x104652,a913)),f925(x104652,f925(x104652,a913))),x104652),f20(x104652,f925(x104652,a913),f925(x104652,a913))),f326(f326(f10(f925(x104652,f925(x104652,f925(a913,a913))),f925(x104652,f925(f925(x104652,a913),f925(x104652,a913))),x104652),f326(f10(f925(x104652,f925(a913,a913)),f925(f925(x104652,a913),f925(x104652,a913)),x104652),f20(x104652,a913,a913))),f326(f326(f10(f925(x104652,f925(x104652,a913)),f925(x104652,f925(x104652,f925(a913,a913))),x104652),f326(f10(f925(x104652,a913),f925(x104652,f925(a913,a913)),x104652),f326(f10(a913,f925(a913,a913),x104652),a324))),f326(f326(f9(x104652,f925(x104652,f925(x104652,x104652)),f925(x104652,f925(x104652,a913))),f326(f326(f10(f925(f925(x104652,x104652),f925(x104652,a913)),f925(f925(x104652,f925(x104652,x104652)),f925(x104652,f925(x104652,a913))),x104652),f10(f925(x104652,x104652),f925(x104652,a913),x104652)),f326(f326(f10(f925(x104652,a913),f925(f925(x104652,x104652),f925(x104652,a913)),x104652),f10(x104652,a913,x104652)),a323))),f101(x104652)))))),f326(f326(f9(x104652,f925(x104652,a913),f925(x104652,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x104652,a913),f925(x104652,a913)),x104652),f10(a913,a913,x104652)),f326(f326(f10(a913,f925(a913,a913),x104652),a324),f326(f326(f9(x104652,f925(x104652,a913),a913),f328(x104652)),x104653)))),f326(f326(f9(x104652,f925(x104652,a913),a913),f328(x104652)),x104651))))))),f326(f326(f101(x104652),f13(x104652,x104653)),f13(x104652,x104651)))
% 225.14/225.12 [10466]~P100(x104662)+E(x104661,f188(f925(x104662,a913)))+E(x104663,f188(f925(x104662,a913)))+~P105(f326(f60(x104662),x104661))+~P105(f326(f60(x104662),x104663))+E(f12(x104662,f326(f261(x104662),f326(f326(f10(f925(x104662,a913),a913,x104662),f86(x104662)),f326(f326(f10(f925(x104662,f925(x104662,a913)),f925(x104662,a913),x104662),f326(f10(f925(x104662,a913),a913,x104662),f86(x104662))),f326(f326(f9(x104662,f925(x104662,f925(x104662,a913)),f925(x104662,f925(x104662,a913))),f326(f326(f10(f925(x104662,f925(f925(x104662,a913),f925(x104662,a913))),f925(f925(x104662,f925(x104662,a913)),f925(x104662,f925(x104662,a913))),x104662),f20(x104662,f925(x104662,a913),f925(x104662,a913))),f326(f326(f10(f925(x104662,f925(x104662,f925(a913,a913))),f925(x104662,f925(f925(x104662,a913),f925(x104662,a913))),x104662),f326(f10(f925(x104662,f925(a913,a913)),f925(f925(x104662,a913),f925(x104662,a913)),x104662),f20(x104662,a913,a913))),f326(f326(f10(f925(x104662,f925(x104662,a913)),f925(x104662,f925(x104662,f925(a913,a913))),x104662),f326(f10(f925(x104662,a913),f925(x104662,f925(a913,a913)),x104662),f326(f10(a913,f925(a913,a913),x104662),a324))),f326(f326(f9(x104662,f925(x104662,f925(x104662,x104662)),f925(x104662,f925(x104662,a913))),f326(f326(f10(f925(f925(x104662,x104662),f925(x104662,a913)),f925(f925(x104662,f925(x104662,x104662)),f925(x104662,f925(x104662,a913))),x104662),f10(f925(x104662,x104662),f925(x104662,a913),x104662)),f326(f326(f10(f925(x104662,a913),f925(f925(x104662,x104662),f925(x104662,a913)),x104662),f10(x104662,a913,x104662)),a323))),f102(x104662)))))),f326(f326(f9(x104662,f925(x104662,a913),f925(x104662,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x104662,a913),f925(x104662,a913)),x104662),f10(a913,a913,x104662)),f326(f326(f10(a913,f925(a913,a913),x104662),a324),f326(f326(f9(x104662,f925(x104662,a913),a913),f328(x104662)),x104663)))),f326(f326(f9(x104662,f925(x104662,a913),a913),f328(x104662)),x104661))))))),f326(f326(f102(x104662),f12(x104662,x104663)),f12(x104662,x104661)))
% 225.14/225.12 [10467]~P108(x104672)+E(x104671,f188(f925(x104672,a913)))+E(x104673,f188(f925(x104672,a913)))+~P105(f326(f60(x104672),x104671))+~P105(f326(f60(x104672),x104673))+E(f15(x104672,f233(x104672),f326(f261(x104672),f326(f326(f10(f925(x104672,a913),a913,x104672),f86(x104672)),f326(f326(f10(f925(x104672,f925(x104672,a913)),f925(x104672,a913),x104672),f326(f10(f925(x104672,a913),a913,x104672),f86(x104672))),f326(f326(f9(x104672,f925(x104672,f925(x104672,a913)),f925(x104672,f925(x104672,a913))),f326(f326(f10(f925(x104672,f925(f925(x104672,a913),f925(x104672,a913))),f925(f925(x104672,f925(x104672,a913)),f925(x104672,f925(x104672,a913))),x104672),f20(x104672,f925(x104672,a913),f925(x104672,a913))),f326(f326(f10(f925(x104672,f925(x104672,f925(a913,a913))),f925(x104672,f925(f925(x104672,a913),f925(x104672,a913))),x104672),f326(f10(f925(x104672,f925(a913,a913)),f925(f925(x104672,a913),f925(x104672,a913)),x104672),f20(x104672,a913,a913))),f326(f326(f10(f925(x104672,f925(x104672,a913)),f925(x104672,f925(x104672,f925(a913,a913))),x104672),f326(f10(f925(x104672,a913),f925(x104672,f925(a913,a913)),x104672),f326(f10(a913,f925(a913,a913),x104672),a324))),f326(f326(f9(x104672,f925(x104672,f925(x104672,x104672)),f925(x104672,f925(x104672,a913))),f326(f326(f10(f925(f925(x104672,x104672),f925(x104672,a913)),f925(f925(x104672,f925(x104672,x104672)),f925(x104672,f925(x104672,a913))),x104672),f10(f925(x104672,x104672),f925(x104672,a913),x104672)),f326(f326(f10(f925(x104672,a913),f925(f925(x104672,x104672),f925(x104672,a913)),x104672),f10(x104672,a913,x104672)),a323))),f238(x104672)))))),f326(f326(f9(x104672,f925(x104672,a913),f925(x104672,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x104672,a913),f925(x104672,a913)),x104672),f10(a913,a913,x104672)),f326(f326(f10(a913,f925(a913,a913),x104672),a324),f326(f326(f9(x104672,f925(x104672,a913),a913),f328(x104672)),x104673)))),f326(f326(f9(x104672,f925(x104672,a913),a913),f328(x104672)),x104671))))))),f326(f326(f238(x104672),f15(x104672,f233(x104672),x104673)),f15(x104672,f233(x104672),x104671)))
% 225.14/225.12 [10468]~P108(x104682)+E(x104681,f188(f925(x104682,a913)))+E(x104683,f188(f925(x104682,a913)))+~P105(f326(f60(x104682),x104681))+~P105(f326(f60(x104682),x104683))+E(f14(x104682,f238(x104682),f326(f261(x104682),f326(f326(f10(f925(x104682,a913),a913,x104682),f86(x104682)),f326(f326(f10(f925(x104682,f925(x104682,a913)),f925(x104682,a913),x104682),f326(f10(f925(x104682,a913),a913,x104682),f86(x104682))),f326(f326(f9(x104682,f925(x104682,f925(x104682,a913)),f925(x104682,f925(x104682,a913))),f326(f326(f10(f925(x104682,f925(f925(x104682,a913),f925(x104682,a913))),f925(f925(x104682,f925(x104682,a913)),f925(x104682,f925(x104682,a913))),x104682),f20(x104682,f925(x104682,a913),f925(x104682,a913))),f326(f326(f10(f925(x104682,f925(x104682,f925(a913,a913))),f925(x104682,f925(f925(x104682,a913),f925(x104682,a913))),x104682),f326(f10(f925(x104682,f925(a913,a913)),f925(f925(x104682,a913),f925(x104682,a913)),x104682),f20(x104682,a913,a913))),f326(f326(f10(f925(x104682,f925(x104682,a913)),f925(x104682,f925(x104682,f925(a913,a913))),x104682),f326(f10(f925(x104682,a913),f925(x104682,f925(a913,a913)),x104682),f326(f10(a913,f925(a913,a913),x104682),a324))),f326(f326(f9(x104682,f925(x104682,f925(x104682,x104682)),f925(x104682,f925(x104682,a913))),f326(f326(f10(f925(f925(x104682,x104682),f925(x104682,a913)),f925(f925(x104682,f925(x104682,x104682)),f925(x104682,f925(x104682,a913))),x104682),f10(f925(x104682,x104682),f925(x104682,a913),x104682)),f326(f326(f10(f925(x104682,a913),f925(f925(x104682,x104682),f925(x104682,a913)),x104682),f10(x104682,a913,x104682)),a323))),f233(x104682)))))),f326(f326(f9(x104682,f925(x104682,a913),f925(x104682,a913)),f326(f326(f10(f925(a913,a913),f925(f925(x104682,a913),f925(x104682,a913)),x104682),f10(a913,a913,x104682)),f326(f326(f10(a913,f925(a913,a913),x104682),a324),f326(f326(f9(x104682,f925(x104682,a913),a913),f328(x104682)),x104683)))),f326(f326(f9(x104682,f925(x104682,a913),a913),f328(x104682)),x104681))))))),f326(f326(f233(x104682),f14(x104682,f238(x104682),x104683)),f14(x104682,f238(x104682),x104681)))
% 225.14/225.12 [7407]~P112(x74073)+E(x74071,x74072)+~E(f326(f326(f243(x74073),x74071),x74074),f326(f326(f243(x74073),x74072),x74074))+~P105(f326(f326(f234(x74073),f2(x74073)),x74072))+~P105(f326(f326(f234(x74073),f2(x74073)),x74071))+~P105(f326(f326(f235(a917),f2(a917)),x74074))
% 225.14/225.12 [7682]~P108(x76822)+E(x76821,f188(f925(x76822,a913)))+~P105(f326(f60(x76822),x76821))+~P105(f326(f326(f328(x76822),x76824),x76821))+P105(f326(f326(f234(x76822),x76823),x76824))+~P105(f326(f326(f234(x76822),x76823),f326(f62(x76822,f238(x76822)),x76821)))
% 225.14/225.12 [7683]~P102(x76832)+E(x76831,f188(f925(x76832,a913)))+~P105(f326(f60(x76832),x76831))+~P105(f326(f326(f328(x76832),x76834),x76831))+P105(f326(f326(f234(x76832),x76833),x76834))+~P105(f326(f326(f234(x76832),x76833),f326(f62(x76832,f102(x76832)),x76831)))
% 225.14/225.12 [7684]~P108(x76842)+E(x76841,f188(f925(x76842,a913)))+~P105(f326(f60(x76842),x76841))+~P105(f326(f326(f328(x76842),x76844),x76841))+P105(f326(f326(f235(x76842),x76843),x76844))+~P105(f326(f326(f235(x76842),x76843),f326(f62(x76842,f238(x76842)),x76841)))
% 225.14/225.12 [7588]E(x75881,f2(a1))+E(f326(f326(f35(a1),x75882),x75881),x75883)+~P105(f326(f326(f234(a1),x75884),f2(a1)))+~E(x75882,f326(f326(f79(a1),f326(f326(f80(a1),x75881),x75883)),x75884))+P105(f326(f326(f235(a1),f2(a1)),x75881))+~P105(f326(f326(f235(a1),x75881),x75884))
% 225.14/225.12 [7604]E(f44(a1,x76042,x76041),x76043)+E(x76041,f2(a1))+~P105(f326(f326(f234(a1),x76043),f2(a1)))+~E(x76042,f326(f326(f79(a1),f326(f326(f80(a1),x76041),x76044)),x76043))+P105(f326(f326(f235(a1),f2(a1)),x76041))+~P105(f326(f326(f235(a1),x76041),x76043))
% 225.14/225.12 [7720]E(x77201,f2(a1))+E(f326(f326(f35(a1),x77202),x77201),x77203)+~E(x77202,f326(f326(f79(a1),f326(f326(f80(a1),x77201),x77203)),x77204))+~P105(f326(f326(f234(a1),f2(a1)),x77204))+~P105(f326(f326(f235(a1),f2(a1)),x77201))+~P105(f326(f326(f235(a1),x77204),x77201))
% 225.14/225.12 [7742]E(f44(a1,x77422,x77421),x77423)+E(x77421,f2(a1))+~E(x77422,f326(f326(f79(a1),f326(f326(f80(a1),x77421),x77424)),x77423))+~P105(f326(f326(f234(a1),f2(a1)),x77423))+~P105(f326(f326(f235(a1),f2(a1)),x77421))+~P105(f326(f326(f235(a1),x77423),x77421))
% 225.14/225.12 [7886]~P108(x78862)+E(x78861,f188(f925(x78862,a913)))+~P105(f326(f60(x78862),x78861))+~P105(f326(f326(f328(x78862),x78864),x78861))+~P105(f326(f326(f234(x78862),x78864),x78863))+P105(f326(f326(f234(x78862),f326(f62(x78862,f238(x78862)),x78861)),x78863))
% 225.14/225.12 [7887]~P108(x78872)+E(x78871,f188(f925(x78872,a913)))+~P105(f326(f60(x78872),x78871))+~P105(f326(f326(f235(x78872),x78874),x78873))+~P105(f326(f326(f328(x78872),x78874),x78871))+P105(f326(f326(f235(x78872),f326(f62(x78872,f238(x78872)),x78871)),x78873))
% 225.14/225.12 [8449]~P105(f326(f326(f234(a1),x84494),f2(a1)))+~E(x84491,f326(f326(f79(a1),f326(f326(f80(a1),x84492),x84493)),x84494))+~P105(f326(f326(f234(a1),f2(a1)),x84494))+~P105(f326(f326(f235(a1),x84494),x84492))+~P105(f326(f326(f235(a1),x84492),x84494))+P105(f326(f48(x84491,x84492),f326(f326(f251(a1,a1),x84493),x84494)))
% 225.14/225.12 [8615]~P109(x86151)+P105(f326(f326(f235(f925(x86151,a913)),f302(x86151,x86152,x86153)),f302(x86151,x86154,x86155)))+~P105(f326(f326(f234(x86151),x86154),x86152))+~P105(f326(f326(f234(x86151),x86154),x86155))+~P105(f326(f326(f234(x86151),x86153),x86155))+~P105(f326(f326(f235(x86151),x86153),x86155))
% 225.14/225.12 [8616]~P109(x86161)+P105(f326(f326(f235(f925(x86161,a913)),f302(x86161,x86162,x86163)),f302(x86161,x86164,x86165)))+~P105(f326(f326(f234(x86161),x86163),x86165))+~P105(f326(f326(f234(x86161),x86164),x86165))+~P105(f326(f326(f234(x86161),x86164),x86162))+~P105(f326(f326(f235(x86161),x86164),x86162))
% 225.14/225.12 [9474]P58(x94742,x94743,x94744,x94741)+E(x94741,f188(f925(x94742,a913)))+~P105(f326(f60(x94742),x94744))+~P105(f326(f60(x94742),x94741))+~P105(f326(f326(x94743,f532(x94741,x94744,x94743,x94742)),x94745))+~P105(f326(f326(f328(x94742),x94745),x94741))
% 225.14/225.12 [9475]P58(x94752,x94753,x94754,x94751)+E(x94751,f188(f925(x94752,a913)))+~P105(f326(f60(x94752),x94754))+~P105(f326(f60(x94752),x94751))+~P105(f326(f326(x94753,f798(x94753,x94751,x94754,x94752)),x94755))+~P105(f326(f326(f328(x94752),x94755),x94751))
% 225.14/225.12 [9476]P58(x94762,x94763,x94764,x94761)+E(x94761,f188(f925(x94762,a913)))+~P105(f326(f60(x94762),x94764))+~P105(f326(f60(x94762),x94761))+~P105(f326(f326(x94763,f799(x94761,x94764,x94763,x94762)),x94765))+~P105(f326(f326(f328(x94762),x94765),x94761))
% 225.14/225.12 [9624]~E(x96243,x96245)+~P69(x96241)+~P70(x96241)+~P40(x96243)+E(f326(f326(f8(a1,x96241),x96242),x96243),f326(f326(f8(a1,x96241),x96244),x96245))+P105(f326(f326(f234(a1),f2(a1)),f533(x96242,x96244,x96243,x96245,x96241)))
% 225.14/225.12 [9625]~E(x96253,x96255)+~P69(x96251)+~P70(x96251)+~P40(x96253)+E(f326(f326(f11(a1,x96251),x96252),x96253),f326(f326(f11(a1,x96251),x96254),x96255))+P105(f326(f326(f234(a1),f2(a1)),f524(x96252,x96254,x96253,x96255,x96251)))
% 225.14/225.12 [9804]~E(x98045,x98043)+~P69(x98041)+~P70(x98041)+~P40(x98045)+~E(f326(x98042,f533(x98044,x98042,x98045,x98043,x98041)),f326(x98044,f533(x98044,x98042,x98045,x98043,x98041)))+E(f326(f326(f8(a1,x98041),x98042),x98043),f326(f326(f8(a1,x98041),x98044),x98045))
% 225.14/225.12 [9805]~E(x98055,x98053)+~P69(x98051)+~P70(x98051)+~P40(x98055)+~E(f326(x98052,f524(x98054,x98052,x98055,x98053,x98051)),f326(x98054,f524(x98054,x98052,x98055,x98053,x98051)))+E(f326(f326(f11(a1,x98051),x98052),x98053),f326(f326(f11(a1,x98051),x98054),x98055))
% 225.14/225.12 [9893]~P77(x98933)+E(f326(x98931,x98932),f2(x98933))+~E(f326(f326(f8(x98934,x98933),x98931),x98935),f2(x98933))+~P105(f326(f60(x98934),x98935))+P105(f326(f326(f328(x98934),f494(x98932,x98931,x98935,x98934,x98933)),x98935))+~P105(f326(f326(f328(x98934),x98932),x98935))
% 225.14/225.12 [10020]~P77(x100203)+E(f326(x100201,x100202),f2(x100203))+~E(f326(f326(f8(x100204,x100203),x100201),x100205),f2(x100203))+~P105(f326(f60(x100204),x100205))+~P105(f326(f326(f328(x100204),x100202),x100205))+~P105(f326(f326(f234(x100203),f2(x100203)),f326(x100201,f494(x100202,x100201,x100205,x100204,x100203))))
% 225.14/225.12 [8534]~P137(x85341)+~P105(f326(f326(f234(x85341),x85343),x85345))+~P105(f326(f326(f234(x85341),x85342),x85344))+~P105(f326(f326(f234(x85341),f2(x85341)),x85343))+~P105(f326(f326(f234(x85341),f2(x85341)),x85344))+P105(f326(f326(f234(x85341),f326(f326(f80(x85341),x85342),x85343)),f326(f326(f80(x85341),x85344),x85345)))
% 225.14/225.12 [8535]~P137(x85351)+~P105(f326(f326(f234(x85351),x85353),x85355))+~P105(f326(f326(f234(x85351),x85352),x85354))+~P105(f326(f326(f234(x85351),f2(x85351)),x85353))+~P105(f326(f326(f234(x85351),f2(x85351)),x85352))+P105(f326(f326(f234(x85351),f326(f326(f80(x85351),x85352),x85353)),f326(f326(f80(x85351),x85354),x85355)))
% 225.14/225.12 [8536]~P64(x85361)+~P105(f326(f326(f235(x85361),f2(x85361)),x85365))+~P105(f326(f326(f234(x85361),x85365),x85363))+~P105(f326(f326(f234(x85361),x85362),x85364))+~P105(f326(f326(f234(x85361),f2(x85361)),x85362))+P105(f326(f326(f234(x85361),f326(f326(f290(x85361),x85362),x85363)),f326(f326(f290(x85361),x85364),x85365)))
% 225.14/225.12 [8537]~P133(x85371)+~P105(f326(f326(f234(x85371),x85373),x85375))+~P105(f326(f326(f234(x85371),f2(x85371)),x85372))+~P105(f326(f326(f235(x85371),x85372),x85374))+~P105(f326(f326(f235(x85371),f2(x85371)),x85373))+P105(f326(f326(f235(x85371),f326(f326(f80(x85371),x85372),x85373)),f326(f326(f80(x85371),x85374),x85375)))
% 225.14/225.12 [8538]~P133(x85381)+~P105(f326(f326(f234(x85381),x85382),x85384))+~P105(f326(f326(f234(x85381),f2(x85381)),x85383))+~P105(f326(f326(f235(x85381),x85383),x85385))+~P105(f326(f326(f235(x85381),f2(x85381)),x85382))+P105(f326(f326(f235(x85381),f326(f326(f80(x85381),x85382),x85383)),f326(f326(f80(x85381),x85384),x85385)))
% 225.14/225.12 [8539]~P133(x85391)+~P105(f326(f326(f234(x85391),f2(x85391)),x85393))+~P105(f326(f326(f234(x85391),f2(x85391)),x85392))+~P105(f326(f326(f235(x85391),x85393),x85395))+~P105(f326(f326(f235(x85391),x85392),x85394))+P105(f326(f326(f235(x85391),f326(f326(f80(x85391),x85392),x85393)),f326(f326(f80(x85391),x85394),x85395)))
% 225.14/225.12 [8540]~P133(x85401)+~P105(f326(f326(f234(x85401),f2(x85401)),x85403))+~P105(f326(f326(f235(x85401),x85403),x85405))+~P105(f326(f326(f235(x85401),x85402),x85404))+~P105(f326(f326(f235(x85401),f2(x85401)),x85404))+P105(f326(f326(f235(x85401),f326(f326(f80(x85401),x85402),x85403)),f326(f326(f80(x85401),x85404),x85405)))
% 225.14/225.12 [8541]~P64(x85411)+~P105(f326(f326(f234(x85411),x85415),x85413))+~P105(f326(f326(f234(x85411),f2(x85411)),x85412))+~P105(f326(f326(f235(x85411),x85412),x85414))+~P105(f326(f326(f235(x85411),f2(x85411)),x85415))+P105(f326(f326(f235(x85411),f326(f326(f290(x85411),x85412),x85413)),f326(f326(f290(x85411),x85414),x85415)))
% 225.14/225.12 [8542]~P64(x85421)+~P105(f326(f326(f234(x85421),x85422),x85424))+~P105(f326(f326(f235(x85421),x85425),x85423))+~P105(f326(f326(f235(x85421),f2(x85421)),x85425))+~P105(f326(f326(f235(x85421),f2(x85421)),x85422))+P105(f326(f326(f235(x85421),f326(f326(f290(x85421),x85422),x85423)),f326(f326(f290(x85421),x85424),x85425)))
% 225.14/225.12 [9936]~P70(x99365)+~P81(x99365)+E(x99361,f188(f925(x99362,a913)))+~P105(f326(f60(x99362),x99361))+P105(f326(f326(f328(x99362),f590(x99363,x99364,x99361,x99362,x99365)),x99361))+P105(f326(f326(f235(x99365),f326(f326(f8(x99362,x99365),x99364),x99361)),f326(f326(f8(x99362,x99365),x99363),x99361)))
% 225.14/225.12 [10046]~P70(x100461)+~P83(x100461)+~P105(f326(f60(x100462),x100465))+~P105(f326(f326(f234(x100461),f2(x100461)),f326(x100463,f875(x100463,x100464,x100465,x100462,x100461))))+P105(f326(f326(f234(x100461),f326(f326(f8(x100462,x100461),x100463),x100464)),f326(f326(f8(x100462,x100461),x100463),x100465)))+~P105(f326(f326(f234(f925(x100462,a913)),x100464),x100465))
% 225.14/225.12 [10217]~P70(x102173)+~P81(x102173)+E(x102171,f188(f925(x102172,a913)))+~P105(f326(f60(x102172),x102171))+~P105(f326(f326(f235(x102173),f326(x102174,f590(x102175,x102174,x102171,x102172,x102173))),f326(x102175,f590(x102175,x102174,x102171,x102172,x102173))))+P105(f326(f326(f235(x102173),f326(f326(f8(x102172,x102173),x102174),x102171)),f326(f326(f8(x102172,x102173),x102175),x102171)))
% 225.14/225.12 [7261]~P17(x72612,x72615,x72614)+E(x72611,f188(f925(x72612,a913)))+E(x72613,f188(f925(x72612,a913)))+~P105(f326(f60(x72612),x72611))+~P105(f326(f60(x72612),x72613))+E(f326(x72614,f326(f326(f101(f925(x72612,a913)),x72613),x72611)),f326(f326(x72615,f326(x72614,x72613)),f326(x72614,x72611)))
% 225.14/225.12 [7852]~P148(x78521,x78523,x78524)+P105(f326(x78521,x78522))+~P105(f326(f326(f235(a1),x78524),f2(a1)))+~P105(f326(f326(f234(a1),x78525),f2(a1)))+~E(x78523,f326(f326(f79(a1),f326(f326(f80(a1),x78524),x78522)),x78525))+~P105(f326(f326(f235(a1),x78524),x78525))
% 225.14/225.12 [7853]~P147(x78531,x78533,x78534)+P105(f326(x78531,x78532))+~P105(f326(f326(f235(a1),x78534),f2(a1)))+~P105(f326(f326(f234(a1),x78532),f2(a1)))+~E(x78533,f326(f326(f79(a1),f326(f326(f80(a1),x78534),x78535)),x78532))+~P105(f326(f326(f235(a1),x78534),x78532))
% 225.14/225.12 [7895]~P148(x78951,x78953,x78954)+P105(f326(x78951,x78952))+~E(x78953,f326(f326(f79(a1),f326(f326(f80(a1),x78954),x78952)),x78955))+~P105(f326(f326(f234(a1),f2(a1)),x78955))+~P105(f326(f326(f235(a1),f2(a1)),x78954))+~P105(f326(f326(f235(a1),x78955),x78954))
% 225.14/225.12 [7896]~P147(x78961,x78963,x78964)+P105(f326(x78961,x78962))+~E(x78963,f326(f326(f79(a1),f326(f326(f80(a1),x78964),x78965)),x78962))+~P105(f326(f326(f234(a1),f2(a1)),x78962))+~P105(f326(f326(f235(a1),f2(a1)),x78964))+~P105(f326(f326(f235(a1),x78962),x78964))
% 225.14/225.12 [8824]P105(f326(f326(x88241,x88242),x88243))+~P105(f326(f326(x88241,f326(f326(f35(a1),x88244),x88245)),f44(a1,x88244,x88245)))+~P105(f326(f326(f235(a1),x88245),f2(a1)))+~P105(f326(f326(f234(a1),x88243),f2(a1)))+~E(x88244,f326(f326(f79(a1),f326(f326(f80(a1),x88245),x88242)),x88243))+~P105(f326(f326(f235(a1),x88245),x88243))
% 225.14/225.12 [8833]P105(f326(f326(x88331,x88332),x88333))+~P105(f326(f326(x88331,f326(f326(f35(a1),x88334),x88335)),f44(a1,x88334,x88335)))+~E(x88334,f326(f326(f79(a1),f326(f326(f80(a1),x88335),x88332)),x88333))+~P105(f326(f326(f234(a1),f2(a1)),x88333))+~P105(f326(f326(f235(a1),f2(a1)),x88335))+~P105(f326(f326(f235(a1),x88333),x88335))
% 225.14/225.12 [9094]E(x90941,x90942)+~P55(x90943,x90945,x90944)+~P105(f326(f326(f328(x90943),x90942),x90945))+~P105(f326(f326(f328(x90943),x90941),x90945))+P105(f326(f326(f328(f924(x90943,x90943)),f326(f326(f251(x90943,x90943),x90941),x90942)),x90944))+P105(f326(f326(f328(f924(x90943,x90943)),f326(f326(f251(x90943,x90943),x90942),x90941)),x90944))
% 225.14/225.12 [9963]~P70(x99635)+~P83(x99635)+~P105(f326(f60(x99631),x99634))+P105(f326(f326(f234(x99635),f326(f326(f8(x99631,x99635),x99632),x99633)),f326(f326(f8(x99631,x99635),x99632),x99634)))+~P105(f326(f326(f234(f925(x99631,a913)),x99633),x99634))+P105(f326(f326(f328(x99631),f875(x99632,x99633,x99634,x99631,x99635)),f326(f326(f3(f925(x99631,a913)),x99634),x99633)))
% 225.14/225.12 [10054]E(x100541,f188(f925(x100542,a913)))+~P105(f326(f60(x100542),x100543))+~P105(f326(f60(x100542),x100541))+P105(f326(f326(f328(f924(f925(x100542,a913),f925(x100542,a913))),f326(f326(f251(f925(x100542,a913),f925(x100542,a913)),x100543),x100541)),f317(x100542,x100544)))+~P105(f326(f326(f328(x100542),x100545),x100541))+~P105(f326(f326(f328(f924(x100542,x100542)),f326(f326(f251(x100542,x100542),f470(x100544,x100541,x100543,x100542)),x100545)),x100544))
% 225.14/225.12 [10055]E(x100551,f188(f925(x100552,a913)))+~P105(f326(f60(x100552),x100553))+~P105(f326(f60(x100552),x100551))+P105(f326(f326(f328(f924(f925(x100552,a913),f925(x100552,a913))),f326(f326(f251(f925(x100552,a913),f925(x100552,a913)),x100553),x100551)),f317(x100552,x100554)))+~P105(f326(f326(f328(x100552),x100555),x100551))+~P105(f326(f326(f328(f924(x100552,x100552)),f326(f326(f251(x100552,x100552),f477(x100554,x100551,x100553,x100552)),x100555)),x100554))
% 225.14/225.12 [10221]~P77(x102211)+~E(f326(f326(f8(x102215,x102211),x102212),x102216),x102214)+~P105(f326(f60(x102215),x102216))+P105(f326(f326(f328(x102215),f495(x102213,x102214,x102212,x102216,x102215,x102211)),x102216))+P105(f326(f326(f234(x102211),f326(x102212,x102213)),x102214))+~P105(f326(f326(f328(x102215),x102213),x102216))
% 225.14/225.12 [10268]~P77(x102681)+~E(f326(f326(f8(x102685,x102681),x102682),x102686),x102684)+~P105(f326(f60(x102685),x102686))+~P105(f326(f326(f328(x102685),x102683),x102686))+~P105(f326(f326(f234(x102681),f2(x102681)),f326(x102682,f495(x102683,x102684,x102682,x102686,x102685,x102681))))+P105(f326(f326(f234(x102681),f326(x102682,x102683)),x102684))
% 225.14/225.12 [10412]~E(x104125,x104128)+~E(x104124,x104127)+~P107(x104121)+~P70(x104122)+E(f326(f326(f8(x104121,x104122),x104123),f326(f301(x104121,x104124),x104125)),f326(f326(f8(x104121,x104122),x104126),f326(f301(x104121,x104127),x104128)))+P105(f326(f326(f234(x104121),x104124),f611(x104123,x104126,x104125,x104128,x104124,x104127,x104121,x104122)))
% 225.14/225.12 [10428]~E(x104287,x104284)+~E(x104288,x104285)+~P107(x104281)+~P70(x104282)+~E(f326(x104283,f611(x104286,x104283,x104288,x104285,x104287,x104284,x104281,x104282)),f326(x104286,f611(x104286,x104283,x104288,x104285,x104287,x104284,x104281,x104282)))+E(f326(f326(f8(x104281,x104282),x104283),f326(f301(x104281,x104284),x104285)),f326(f326(f8(x104281,x104282),x104286),f326(f301(x104281,x104287),x104288)))
% 225.14/225.12 [10431]~E(x104314,x104317)+~E(x104315,x104318)+~P107(x104311)+~P70(x104312)+E(f326(f326(f8(x104311,x104312),x104313),f326(f301(x104311,x104314),x104315)),f326(f326(f8(x104311,x104312),x104316),f326(f301(x104311,x104317),x104318)))+P105(f326(f326(f235(x104311),f611(x104313,x104316,x104315,x104318,x104314,x104317,x104311,x104312)),x104315))
% 225.14/225.12 [10061]~P8(x100615,x100619,x100616)+~P8(x100611,x1006110,x100613)+~P12(x100611,x100615,f925(x100612,a913),x100613,x100616,x100618)+~P105(f326(f326(f328(x100615),x100617),x100619))+~P105(f326(f326(f328(x100611),x100614),x1006110))+E(f326(f326(f38(x100611,f925(x100612,a913)),f326(f284(x100611,x100611,x100613),f326(f326(f308(x100611),x100614),f188(f925(x100611,a913))))),f326(f326(f10(f925(x100615,f925(x100612,a913)),f925(x100612,a913),x100611),f326(f38(x100615,f925(x100612,a913)),f326(f284(x100615,x100615,x100616),f326(f326(f308(x100615),x100617),f188(f925(x100615,a913)))))),x100618)),f326(f326(x100618,x100614),x100617))
% 225.14/225.12 [5783]~P108(x57833)+~P13(x57833,x57832)+~P13(x57833,x57831)+E(x57831,x57832)+~E(f326(f172(x57833),x57831),f326(f172(x57833),x57832))+~P105(f326(f137(x57833),x57832))+~P105(f326(f137(x57833),x57831))
% 225.14/225.12 [5109]~P132(x51092)+~P134(x51092)+~P144(x51092)+~P116(x51092)+~E(x51093,f2(x51092))+E(x51091,f2(a917))+E(f326(f326(f243(x51092),x51093),x51091),f2(x51092))
% 225.14/225.12 [9349]E(x93491,f2(a917))+~E(x93492,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x93493)),x93491)),f326(f255(a917,a917),x93493)))+P105(f326(f47(x93492,x93491),x93493))+~P105(f326(f326(f234(a917),f326(f255(a917,a917),x93493)),f2(a917)))+~P105(f326(f326(f234(a917),f2(a917)),f326(f255(a917,a917),x93493)))+~P105(f326(f326(f235(a917),x93491),f326(f255(a917,a917),x93493)))+~P105(f326(f326(f235(a917),f326(f255(a917,a917),x93493)),x93491))
% 225.14/225.12 [9357]~E(f326(f250(a917,a917),x93573),f2(a917))+~E(x93571,f326(f326(f79(a917),f326(f326(f80(a917),f326(f250(a917,a917),x93573)),x93572)),f326(f255(a917,a917),x93573)))+P105(f326(f47(x93571,x93572),x93573))+~P105(f326(f326(f234(a917),f326(f255(a917,a917),x93573)),f2(a917)))+~P105(f326(f326(f234(a917),f2(a917)),f326(f255(a917,a917),x93573)))+~P105(f326(f326(f235(a917),x93572),f326(f255(a917,a917),x93573)))+~P105(f326(f326(f235(a917),f326(f255(a917,a917),x93573)),x93572))
% 225.14/225.12 [8205]~P66(x82052)+E(x82051,f188(f925(x82052,a913)))+E(x82053,f188(f925(x82052,a913)))+~P105(f326(f60(x82052),x82051))+~P105(f326(f60(x82052),x82053))+~E(f326(f326(f102(f925(x82052,a913)),x82053),x82051),f188(f925(x82052,a913)))+E(f326(f326(f80(x82052),f326(f62(x82052,f80(x82052)),x82053)),f326(f62(x82052,f80(x82052)),x82051)),f326(f62(x82052,f80(x82052)),f326(f326(f101(f925(x82052,a913)),x82053),x82051)))
% 225.14/225.12 [7990]E(x79901,f2(a1))+E(f326(f326(f35(a1),x79902),x79901),x79903)+~P105(f326(f326(f234(a1),x79904),f2(a1)))+~E(x79902,f326(f326(f79(a1),f326(f326(f80(a1),x79901),x79903)),x79904))+~P105(f326(f326(f234(a1),f2(a1)),x79904))+~P105(f326(f326(f235(a1),x79904),x79901))+~P105(f326(f326(f235(a1),x79901),x79904))
% 225.14/225.12 [7998]E(f44(a1,x79982,x79981),x79983)+E(x79981,f2(a1))+~P105(f326(f326(f234(a1),x79983),f2(a1)))+~E(x79982,f326(f326(f79(a1),f326(f326(f80(a1),x79981),x79984)),x79983))+~P105(f326(f326(f234(a1),f2(a1)),x79983))+~P105(f326(f326(f235(a1),x79983),x79981))+~P105(f326(f326(f235(a1),x79981),x79983))
% 225.14/225.12 [7045]~P3(x70452)+E(x70451,f2(x70452))+E(x70453,f2(x70452))+~E(f326(f326(f35(x70452),x70454),x70453),f326(f326(f35(x70452),x70455),x70451))+E(f326(f326(f80(x70452),x70454),x70451),f326(f326(f80(x70452),x70453),x70455))+~P105(f326(f326(f286(x70452),x70451),x70455))+~P105(f326(f326(f286(x70452),x70453),x70454))
% 225.14/225.12 [7046]~P3(x70462)+E(x70461,f2(x70462))+E(x70463,f2(x70462))+~E(f326(f326(f80(x70462),x70464),x70463),f326(f326(f80(x70462),x70461),x70465))+E(f326(f326(f35(x70462),x70464),x70461),f326(f326(f35(x70462),x70465),x70463))+~P105(f326(f326(f286(x70462),x70461),x70464))+~P105(f326(f326(f286(x70462),x70463),x70465))
% 225.14/225.12 [7905]~P18(x79052,x79055,x79054)+E(x79051,f188(f925(x79052,a913)))+E(x79053,f188(f925(x79052,a913)))+~P105(f326(f60(x79052),x79051))+~P105(f326(f60(x79052),x79053))+~E(f326(f326(f102(f925(x79052,a913)),x79053),x79051),f188(f925(x79052,a913)))+E(f326(x79054,f326(f326(f101(f925(x79052,a913)),x79053),x79051)),f326(f326(x79055,f326(x79054,x79053)),f326(x79054,x79051)))
% 225.14/225.12 [9597]~P25(x95973,x95971,x95975,x95974)+~P25(x95971,x95973,x95976,x95972)+E(f326(f34(x95971),x95972),f326(f34(x95973),x95974))+~P105(f326(f60(x95973),x95974))+~P105(f326(f60(x95971),x95972))+~P105(f326(f326(f234(f925(x95973,a913)),f326(f309(x95971,x95973,x95976),x95972)),x95974))+~P105(f326(f326(f234(f925(x95971,a913)),f326(f309(x95973,x95971,x95975),x95974)),x95972))
% 225.14/225.12 [9539]~P105(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x95395),x95391)),x95396)),f2(a1)))+~E(f326(f326(f79(a1),f326(f326(f80(a1),x95393),x95392)),x95394),f326(f326(f79(a1),f326(f326(f80(a1),x95395),x95391)),x95396))+~P105(f326(f326(f234(a1),f2(a1)),x95396))+~P105(f326(f326(f235(a1),f2(a1)),x95395))+~P105(f326(f326(f234(a1),x95395),x95393))+~P105(f326(f326(f235(a1),x95394),x95393))+P105(f326(f326(f234(a1),x95391),x95392))
% 225.14/225.12 [9300]~E(f326(f326(f79(a1),f326(f326(f80(a1),x93003),x93001)),x93004),f326(f326(f79(a1),f326(f326(f80(a1),x93005),x93002)),x93006))+~P105(f326(f326(f234(a1),f2(a1)),x93004))+~P105(f326(f326(f235(a1),f2(a1)),x93005))+~P105(f326(f326(f234(a1),x93005),x93003))+~P105(f326(f326(f235(a1),x93006),x93005))+P105(f326(f326(f234(a1),x93001),x93002))+~P105(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93005),x93002)),x93006)))
% 225.14/225.12 [9479]~P131(x94791)+~E(f326(f326(f79(x94791),x94792),x94794),f77(x94791))+~P105(f326(f326(f234(x94791),x94795),x94796))+~P105(f326(f326(f234(x94791),x94793),x94796))+~P105(f326(f326(f234(x94791),f2(x94791)),x94794))+~P105(f326(f326(f234(x94791),f2(x94791)),x94792))+P105(f326(f326(f234(x94791),f326(f326(f79(x94791),f326(f326(f80(x94791),x94792),x94793)),f326(f326(f80(x94791),x94794),x94795))),x94796))
% 225.14/225.12 [9480]~P129(x94801)+~E(f326(f326(f79(x94801),x94802),x94804),f77(x94801))+~P105(f326(f326(f234(x94801),f2(x94801)),x94804))+~P105(f326(f326(f234(x94801),f2(x94801)),x94802))+~P105(f326(f326(f235(x94801),x94805),x94806))+~P105(f326(f326(f235(x94801),x94803),x94806))+P105(f326(f326(f235(x94801),f326(f326(f79(x94801),f326(f326(f80(x94801),x94802),x94803)),f326(f326(f80(x94801),x94804),x94805))),x94806))
% 225.14/225.12 [10319]~P8(x103197,x103196,x103195)+E(x103191,x103192)+~P11(x103197,f925(x103194,a913),x103195,x103193)+E(f326(x103193,f508(x103191,x103192,x103193,x103194,x103195,x103196,x103197)),f326(x103193,f509(x103191,x103192,x103193,x103194,x103195,x103196,x103197)))+~E(f326(f326(f38(x103197,f925(x103194,a913)),x103191),x103193),f326(f326(f38(x103197,f925(x103194,a913)),x103192),x103193))+~P105(f326(f326(f328(f925(x103197,a913)),x103192),f326(f326(f59(x103197),x103196),x103195)))+~P105(f326(f326(f328(f925(x103197,a913)),x103191),f326(f326(f59(x103197),x103196),x103195)))
% 225.14/225.12 [10364]~P8(x103643,x103647,x103646)+E(x103641,x103642)+~P11(x103643,f925(x103645,a913),x103646,x103644)+~E(f326(f326(f38(x103643,f925(x103645,a913)),x103641),x103644),f326(f326(f38(x103643,f925(x103645,a913)),x103642),x103644))+P105(f326(f326(f328(x103643),f509(x103641,x103642,x103644,x103645,x103646,x103647,x103643)),x103647))+~P105(f326(f326(f328(f925(x103643,a913)),x103642),f326(f326(f59(x103643),x103647),x103646)))+~P105(f326(f326(f328(f925(x103643,a913)),x103641),f326(f326(f59(x103643),x103647),x103646)))
% 225.14/225.12 [10365]~P8(x103653,x103657,x103656)+E(x103651,x103652)+~P11(x103653,f925(x103655,a913),x103656,x103654)+~E(f326(f326(f38(x103653,f925(x103655,a913)),x103651),x103654),f326(f326(f38(x103653,f925(x103655,a913)),x103652),x103654))+P105(f326(f326(f328(x103653),f508(x103651,x103652,x103654,x103655,x103656,x103657,x103653)),x103657))+~P105(f326(f326(f328(f925(x103653,a913)),x103652),f326(f326(f59(x103653),x103657),x103656)))+~P105(f326(f326(f328(f925(x103653,a913)),x103651),f326(f326(f59(x103653),x103657),x103656)))
% 225.14/225.12 [10447]E(x104471,x104472)+~P8(x104473,x104476,x104477)+~P11(x104473,f925(x104474,a913),x104477,x104475)+~E(f326(f326(f38(x104473,f925(x104474,a913)),x104471),x104475),f326(f326(f38(x104473,f925(x104474,a913)),x104472),x104475))+~P105(f326(f326(f328(f924(x104473,x104473)),f326(f326(f251(x104473,x104473),f509(x104471,x104472,x104475,x104474,x104477,x104476,x104473)),f508(x104471,x104472,x104475,x104474,x104477,x104476,x104473))),x104477))+~P105(f326(f326(f328(f925(x104473,a913)),x104472),f326(f326(f59(x104473),x104476),x104477)))+~P105(f326(f326(f328(f925(x104473,a913)),x104471),f326(f326(f59(x104473),x104476),x104477)))
% 225.14/225.12 [9299]~P8(x92991,x92997,x92994)+~E(x92995,x92996)+~P105(f326(f326(f328(x92991),x92993),x92996))+~P105(f326(f326(f328(x92991),x92992),x92995))+~P105(f326(f326(f328(f925(x92991,a913)),x92996),f326(f326(f59(x92991),x92997),x92994)))+~P105(f326(f326(f328(f925(x92991,a913)),x92995),f326(f326(f59(x92991),x92997),x92994)))+P105(f326(f326(f328(f924(x92991,x92991)),f326(f326(f251(x92991,x92991),x92992),x92993)),x92994))
% 225.14/225.12 [9436]E(x94361,x94362)+~P8(x94363,x94364,x94365)+~P105(f326(f326(f328(x94363),x94366),x94362))+~P105(f326(f326(f328(x94363),x94367),x94361))+~P105(f326(f326(f328(f925(x94363,a913)),x94362),f326(f326(f59(x94363),x94364),x94365)))+~P105(f326(f326(f328(f925(x94363,a913)),x94361),f326(f326(f59(x94363),x94364),x94365)))+~P105(f326(f326(f328(f924(x94363,x94363)),f326(f326(f251(x94363,x94363),x94367),x94366)),x94365))
% 225.14/225.12 [10474]~P8(x104749,x104748,x104747)+~P8(x104741,x1047411,x1047410)+~P12(x104741,x104749,f925(x104746,a913),x1047410,x104747,x104745)+P105(f326(f326(f328(x104741),f514(x104742,x104743,x104744,x104745,x104746,x104747,x104748,x104749,x1047410,x1047411,x104741)),x1047411))+~P105(f326(f326(f328(f925(x104749,a913)),x104743),f326(f326(f59(x104749),x104748),x104747)))+~P105(f326(f326(f328(f925(x104741,a913)),x104744),f326(f326(f59(x104741),x1047411),x1047410)))+P105(f326(f326(f328(f925(x104746,a913)),f326(f326(f38(x104741,f925(x104746,a913)),x104744),f326(f326(f10(f925(x104749,f925(x104746,a913)),f925(x104746,a913),x104741),f326(f38(x104749,f925(x104746,a913)),x104743)),x104745))),x104742))
% 225.14/225.12 [10475]~P8(x1047511,x1047510,x104759)+~P8(x104751,x104758,x104757)+~P12(x1047511,x104751,f925(x104756,a913),x104759,x104757,x104755)+P105(f326(f326(f328(x104751),f515(x104752,x104753,x104754,x104755,x104756,x104757,x104758,x104751,x104759,x1047510,x1047511)),x104758))+~P105(f326(f326(f328(f925(x1047511,a913)),x104754),f326(f326(f59(x1047511),x1047510),x104759)))+~P105(f326(f326(f328(f925(x104751,a913)),x104753),f326(f326(f59(x104751),x104758),x104757)))+P105(f326(f326(f328(f925(x104756,a913)),f326(f326(f38(x1047511,f925(x104756,a913)),x104754),f326(f326(f10(f925(x104751,f925(x104756,a913)),f925(x104756,a913),x1047511),f326(f38(x104751,f925(x104756,a913)),x104753)),x104755))),x104752))
% 225.14/225.12 [10476]~P8(x104762,x104768,x104769)+~P8(x104764,x1047610,x1047611)+~P12(x104762,x104764,f925(x104761,a913),x104769,x1047611,x104766)+~P105(f326(f326(f328(f925(x104762,a913)),x104763),f326(f326(f59(x104762),x104768),x104769)))+~P105(f326(f326(f328(f925(x104764,a913)),x104765),f326(f326(f59(x104764),x1047610),x1047611)))+~P105(f326(f326(f328(f925(x104761,a913)),f326(f326(x104766,f514(x104767,x104765,x104763,x104766,x104761,x1047611,x1047610,x104764,x104769,x104768,x104762)),f515(x104767,x104765,x104763,x104766,x104761,x1047611,x1047610,x104764,x104769,x104768,x104762))),x104767))+P105(f326(f326(f328(f925(x104761,a913)),f326(f326(f38(x104762,f925(x104761,a913)),x104763),f326(f326(f10(f925(x104764,f925(x104761,a913)),f925(x104761,a913),x104762),f326(f38(x104764,f925(x104761,a913)),x104765)),x104766))),x104767))
% 225.14/225.12 [9335]E(x93351,x93352)+~P108(x93354)+~P25(x93353,x93354,x93355,f326(f326(f101(f925(x93353,a913)),f326(f172(x93353),x93351)),f326(f172(x93353),x93352)))+~E(f326(f172(x93353),x93351),f326(f172(x93353),x93352))+~P13(x93354,f326(f326(f154(x93353,x93354),x93355),x93352))+~P13(x93354,f326(f326(f154(x93353,x93354),x93355),x93351))+~P105(f326(f137(x93354),f326(f326(f154(x93353,x93354),x93355),x93352)))+~P105(f326(f137(x93354),f326(f326(f154(x93353,x93354),x93355),x93351)))
% 225.14/225.12 %EqnAxiom
% 225.14/225.12 [1]E(x11,x11)
% 225.14/225.12 [2]E(x22,x21)+~E(x21,x22)
% 225.14/225.12 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 225.14/225.12 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 225.14/225.12 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 225.14/225.12 [6]~E(x61,x62)+E(f100(x61),f100(x62))
% 225.14/225.12 [7]~E(x71,x72)+E(f188(x71),f188(x72))
% 225.14/225.12 [8]~E(x81,x82)+E(f326(x81,x83),f326(x82,x83))
% 225.14/225.12 [9]~E(x91,x92)+E(f326(x93,x91),f326(x93,x92))
% 225.14/225.12 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 225.14/225.12 [11]~E(x111,x112)+E(f79(x111),f79(x112))
% 225.14/225.12 [12]~E(x121,x122)+E(f83(x121),f83(x122))
% 225.14/225.12 [13]~E(x131,x132)+E(f924(x131,x133),f924(x132,x133))
% 225.14/225.12 [14]~E(x141,x142)+E(f924(x143,x141),f924(x143,x142))
% 225.14/225.12 [15]~E(x151,x152)+E(f172(x151),f172(x152))
% 225.14/225.12 [16]~E(x161,x162)+E(f515(x161,x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612),f515(x162,x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612))
% 225.14/225.12 [17]~E(x171,x172)+E(f515(x173,x171,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712),f515(x173,x172,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712))
% 225.14/225.12 [18]~E(x181,x182)+E(f515(x183,x184,x181,x185,x186,x187,x188,x189,x1810,x1811,x1812),f515(x183,x184,x182,x185,x186,x187,x188,x189,x1810,x1811,x1812))
% 225.14/225.12 [19]~E(x191,x192)+E(f515(x193,x194,x195,x191,x196,x197,x198,x199,x1910,x1911,x1912),f515(x193,x194,x195,x192,x196,x197,x198,x199,x1910,x1911,x1912))
% 225.14/225.12 [20]~E(x201,x202)+E(f515(x203,x204,x205,x206,x201,x207,x208,x209,x2010,x2011,x2012),f515(x203,x204,x205,x206,x202,x207,x208,x209,x2010,x2011,x2012))
% 225.14/225.12 [21]~E(x211,x212)+E(f515(x213,x214,x215,x216,x217,x211,x218,x219,x2110,x2111,x2112),f515(x213,x214,x215,x216,x217,x212,x218,x219,x2110,x2111,x2112))
% 225.14/225.12 [22]~E(x221,x222)+E(f515(x223,x224,x225,x226,x227,x228,x221,x229,x2210,x2211,x2212),f515(x223,x224,x225,x226,x227,x228,x222,x229,x2210,x2211,x2212))
% 225.14/225.12 [23]~E(x231,x232)+E(f515(x233,x234,x235,x236,x237,x238,x239,x231,x2310,x2311,x2312),f515(x233,x234,x235,x236,x237,x238,x239,x232,x2310,x2311,x2312))
% 225.14/225.12 [24]~E(x241,x242)+E(f515(x243,x244,x245,x246,x247,x248,x249,x2410,x241,x2411,x2412),f515(x243,x244,x245,x246,x247,x248,x249,x2410,x242,x2411,x2412))
% 225.14/225.12 [25]~E(x251,x252)+E(f515(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x251,x2512),f515(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x252,x2512))
% 225.14/225.12 [26]~E(x261,x262)+E(f515(x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612,x261),f515(x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612,x262))
% 225.14/225.12 [27]~E(x271,x272)+E(f233(x271),f233(x272))
% 225.14/225.12 [28]~E(x281,x282)+E(f101(x281),f101(x282))
% 225.14/225.12 [29]~E(x291,x292)+E(f238(x291),f238(x292))
% 225.14/225.12 [30]~E(x301,x302)+E(f102(x301),f102(x302))
% 225.14/225.12 [31]~E(x311,x312)+E(f103(x311),f103(x312))
% 225.14/225.12 [32]~E(x321,x322)+E(f31(x321),f31(x322))
% 225.14/225.12 [33]~E(x331,x332)+E(f77(x331),f77(x332))
% 225.14/225.12 [34]~E(x341,x342)+E(f235(x341),f235(x342))
% 225.14/225.12 [35]~E(x351,x352)+E(f514(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f514(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 225.14/225.12 [36]~E(x361,x362)+E(f514(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f514(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 225.14/225.12 [37]~E(x371,x372)+E(f514(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f514(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 225.14/225.12 [38]~E(x381,x382)+E(f514(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f514(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812))
% 225.14/225.12 [39]~E(x391,x392)+E(f514(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f514(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912))
% 225.14/225.12 [40]~E(x401,x402)+E(f514(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f514(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012))
% 225.14/225.12 [41]~E(x411,x412)+E(f514(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f514(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112))
% 225.14/225.12 [42]~E(x421,x422)+E(f514(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f514(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212))
% 225.14/225.12 [43]~E(x431,x432)+E(f514(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f514(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312))
% 225.14/225.12 [44]~E(x441,x442)+E(f514(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f514(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412))
% 225.14/225.12 [45]~E(x451,x452)+E(f514(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f514(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452))
% 225.14/225.12 [46]~E(x461,x462)+E(f111(x461),f111(x462))
% 225.14/225.12 [47]~E(x471,x472)+E(f328(x471),f328(x472))
% 225.14/225.12 [48]~E(x481,x482)+E(f925(x481,x483),f925(x482,x483))
% 225.14/225.12 [49]~E(x491,x492)+E(f925(x493,x491),f925(x493,x492))
% 225.14/225.12 [50]~E(x501,x502)+E(f6(x501),f6(x502))
% 225.14/225.12 [51]~E(x511,x512)+E(f104(x511),f104(x512))
% 225.14/225.12 [52]~E(x521,x522)+E(f916(x521),f916(x522))
% 225.14/225.12 [53]~E(x531,x532)+E(f921(x531),f921(x532))
% 225.14/225.12 [54]~E(x541,x542)+E(f918(x541),f918(x542))
% 225.14/225.12 [55]~E(x551,x552)+E(f919(x551),f919(x552))
% 225.14/225.12 [56]~E(x561,x562)+E(f78(x561),f78(x562))
% 225.14/225.12 [57]~E(x571,x572)+E(f80(x571),f80(x572))
% 225.14/225.12 [58]~E(x581,x582)+E(f189(x581),f189(x582))
% 225.14/225.12 [59]~E(x591,x592)+E(f243(x591),f243(x592))
% 225.14/225.12 [60]~E(x601,x602)+E(f35(x601),f35(x602))
% 225.14/225.12 [61]~E(x611,x612)+E(f234(x611),f234(x612))
% 225.14/225.12 [62]~E(x621,x622)+E(f113(x621),f113(x622))
% 225.14/225.12 [63]~E(x631,x632)+E(f301(x631,x633),f301(x632,x633))
% 225.14/225.12 [64]~E(x641,x642)+E(f301(x643,x641),f301(x643,x642))
% 225.14/225.12 [65]~E(x651,x652)+E(f179(x651,x653),f179(x652,x653))
% 225.14/225.12 [66]~E(x661,x662)+E(f179(x663,x661),f179(x663,x662))
% 225.14/225.12 [67]~E(x671,x672)+E(f9(x671,x673,x674),f9(x672,x673,x674))
% 225.14/225.12 [68]~E(x681,x682)+E(f9(x683,x681,x684),f9(x683,x682,x684))
% 225.14/225.12 [69]~E(x691,x692)+E(f9(x693,x694,x691),f9(x693,x694,x692))
% 225.14/225.12 [70]~E(x701,x702)+E(f148(x701,x703,x704),f148(x702,x703,x704))
% 225.14/225.12 [71]~E(x711,x712)+E(f148(x713,x711,x714),f148(x713,x712,x714))
% 225.14/225.12 [72]~E(x721,x722)+E(f148(x723,x724,x721),f148(x723,x724,x722))
% 225.14/225.12 [73]~E(x731,x732)+E(f38(x731,x733),f38(x732,x733))
% 225.14/225.12 [74]~E(x741,x742)+E(f38(x743,x741),f38(x743,x742))
% 225.14/225.12 [75]~E(x751,x752)+E(f110(x751),f110(x752))
% 225.14/225.12 [76]~E(x761,x762)+E(f60(x761),f60(x762))
% 225.14/225.12 [77]~E(x771,x772)+E(f300(x771),f300(x772))
% 225.14/225.12 [78]~E(x781,x782)+E(f137(x781),f137(x782))
% 225.14/225.12 [79]~E(x791,x792)+E(f154(x791,x793),f154(x792,x793))
% 225.14/225.12 [80]~E(x801,x802)+E(f154(x803,x801),f154(x803,x802))
% 225.14/225.12 [81]~E(x811,x812)+E(f59(x811),f59(x812))
% 225.14/225.12 [82]~E(x821,x822)+E(f146(x821,x823),f146(x822,x823))
% 225.14/225.12 [83]~E(x831,x832)+E(f146(x833,x831),f146(x833,x832))
% 225.14/225.12 [84]~E(x841,x842)+E(f10(x841,x843,x844),f10(x842,x843,x844))
% 225.14/225.12 [85]~E(x851,x852)+E(f10(x853,x851,x854),f10(x853,x852,x854))
% 225.14/225.12 [86]~E(x861,x862)+E(f10(x863,x864,x861),f10(x863,x864,x862))
% 225.14/225.12 [87]~E(x871,x872)+E(f862(x871,x873,x874),f862(x872,x873,x874))
% 225.14/225.12 [88]~E(x881,x882)+E(f862(x883,x881,x884),f862(x883,x882,x884))
% 225.14/225.12 [89]~E(x891,x892)+E(f862(x893,x894,x891),f862(x893,x894,x892))
% 225.14/225.12 [90]~E(x901,x902)+E(f808(x901),f808(x902))
% 225.14/225.12 [91]~E(x911,x912)+E(f171(x911),f171(x912))
% 225.14/225.12 [92]~E(x921,x922)+E(f251(x921,x923),f251(x922,x923))
% 225.14/225.12 [93]~E(x931,x932)+E(f251(x933,x931),f251(x933,x932))
% 225.14/225.12 [94]~E(x941,x942)+E(f290(x941),f290(x942))
% 225.14/225.12 [95]~E(x951,x952)+E(f302(x951,x953,x954),f302(x952,x953,x954))
% 225.14/225.12 [96]~E(x961,x962)+E(f302(x963,x961,x964),f302(x963,x962,x964))
% 225.14/225.12 [97]~E(x971,x972)+E(f302(x973,x974,x971),f302(x973,x974,x972))
% 225.14/225.12 [98]~E(x981,x982)+E(f285(x981,x983),f285(x982,x983))
% 225.14/225.12 [99]~E(x991,x992)+E(f285(x993,x991),f285(x993,x992))
% 225.14/225.12 [100]~E(x1001,x1002)+E(f269(x1001,x1003),f269(x1002,x1003))
% 225.14/225.12 [101]~E(x1011,x1012)+E(f269(x1013,x1011),f269(x1013,x1012))
% 225.14/225.12 [102]~E(x1021,x1022)+E(f134(x1021),f134(x1022))
% 225.14/225.12 [103]~E(x1031,x1032)+E(f151(x1031),f151(x1032))
% 225.14/225.12 [104]~E(x1041,x1042)+E(f168(x1041),f168(x1042))
% 225.14/225.12 [105]~E(x1051,x1052)+E(f729(x1051,x1053,x1054,x1055),f729(x1052,x1053,x1054,x1055))
% 225.14/225.12 [106]~E(x1061,x1062)+E(f729(x1063,x1061,x1064,x1065),f729(x1063,x1062,x1064,x1065))
% 225.14/225.12 [107]~E(x1071,x1072)+E(f729(x1073,x1074,x1071,x1075),f729(x1073,x1074,x1072,x1075))
% 225.14/225.12 [108]~E(x1081,x1082)+E(f729(x1083,x1084,x1085,x1081),f729(x1083,x1084,x1085,x1082))
% 225.14/225.12 [109]~E(x1091,x1092)+E(f8(x1091,x1093),f8(x1092,x1093))
% 225.14/225.12 [110]~E(x1101,x1102)+E(f8(x1103,x1101),f8(x1103,x1102))
% 225.14/225.12 [111]~E(x1111,x1112)+E(f159(x1111,x1113),f159(x1112,x1113))
% 225.14/225.12 [112]~E(x1121,x1122)+E(f159(x1123,x1121),f159(x1123,x1122))
% 225.14/225.12 [113]~E(x1131,x1132)+E(f91(x1131,x1133,x1134,x1135),f91(x1132,x1133,x1134,x1135))
% 225.14/225.12 [114]~E(x1141,x1142)+E(f91(x1143,x1141,x1144,x1145),f91(x1143,x1142,x1144,x1145))
% 225.14/225.12 [115]~E(x1151,x1152)+E(f91(x1153,x1154,x1151,x1155),f91(x1153,x1154,x1152,x1155))
% 225.14/225.12 [116]~E(x1161,x1162)+E(f91(x1163,x1164,x1165,x1161),f91(x1163,x1164,x1165,x1162))
% 225.14/225.12 [117]~E(x1171,x1172)+E(f306(x1171,x1173),f306(x1172,x1173))
% 225.14/225.12 [118]~E(x1181,x1182)+E(f306(x1183,x1181),f306(x1183,x1182))
% 225.14/225.12 [119]~E(x1191,x1192)+E(f697(x1191,x1193),f697(x1192,x1193))
% 225.14/225.12 [120]~E(x1201,x1202)+E(f697(x1203,x1201),f697(x1203,x1202))
% 225.14/225.12 [121]~E(x1211,x1212)+E(f284(x1211,x1213,x1214),f284(x1212,x1213,x1214))
% 225.14/225.12 [122]~E(x1221,x1222)+E(f284(x1223,x1221,x1224),f284(x1223,x1222,x1224))
% 225.14/225.12 [123]~E(x1231,x1232)+E(f284(x1233,x1234,x1231),f284(x1233,x1234,x1232))
% 225.14/225.12 [124]~E(x1241,x1242)+E(f158(x1241,x1243),f158(x1242,x1243))
% 225.14/225.12 [125]~E(x1251,x1252)+E(f158(x1253,x1251),f158(x1253,x1252))
% 225.14/225.12 [126]~E(x1261,x1262)+E(f44(x1261,x1263,x1264),f44(x1262,x1263,x1264))
% 225.14/225.12 [127]~E(x1271,x1272)+E(f44(x1273,x1271,x1274),f44(x1273,x1272,x1274))
% 225.14/225.12 [128]~E(x1281,x1282)+E(f44(x1283,x1284,x1281),f44(x1283,x1284,x1282))
% 225.14/225.12 [129]~E(x1291,x1292)+E(f281(x1291),f281(x1292))
% 225.14/225.12 [130]~E(x1301,x1302)+E(f255(x1301,x1303),f255(x1302,x1303))
% 225.14/225.12 [131]~E(x1311,x1312)+E(f255(x1313,x1311),f255(x1313,x1312))
% 225.14/225.12 [132]~E(x1321,x1322)+E(f114(x1321,x1323),f114(x1322,x1323))
% 225.14/225.12 [133]~E(x1331,x1332)+E(f114(x1333,x1331),f114(x1333,x1332))
% 225.14/225.12 [134]~E(x1341,x1342)+E(f253(x1341,x1343),f253(x1342,x1343))
% 225.14/225.12 [135]~E(x1351,x1352)+E(f253(x1353,x1351),f253(x1353,x1352))
% 225.14/225.12 [136]~E(x1361,x1362)+E(f308(x1361),f308(x1362))
% 225.14/225.12 [137]~E(x1371,x1372)+E(f106(x1371),f106(x1372))
% 225.14/225.12 [138]~E(x1381,x1382)+E(f107(x1381),f107(x1382))
% 225.14/225.12 [139]~E(x1391,x1392)+E(f327(x1391),f327(x1392))
% 225.14/225.12 [140]~E(x1401,x1402)+E(f807(x1401),f807(x1402))
% 225.14/225.12 [141]~E(x1411,x1412)+E(f580(x1411),f580(x1412))
% 225.14/225.12 [142]~E(x1421,x1422)+E(f250(x1421,x1423),f250(x1422,x1423))
% 225.14/225.12 [143]~E(x1431,x1432)+E(f250(x1433,x1431),f250(x1433,x1432))
% 225.14/225.12 [144]~E(x1441,x1442)+E(f220(x1441,x1443,x1444,x1445),f220(x1442,x1443,x1444,x1445))
% 225.14/225.12 [145]~E(x1451,x1452)+E(f220(x1453,x1451,x1454,x1455),f220(x1453,x1452,x1454,x1455))
% 225.14/225.12 [146]~E(x1461,x1462)+E(f220(x1463,x1464,x1461,x1465),f220(x1463,x1464,x1462,x1465))
% 225.14/225.12 [147]~E(x1471,x1472)+E(f220(x1473,x1474,x1475,x1471),f220(x1473,x1474,x1475,x1472))
% 225.14/225.12 [148]~E(x1481,x1482)+E(f240(x1481,x1483),f240(x1482,x1483))
% 225.14/225.12 [149]~E(x1491,x1492)+E(f240(x1493,x1491),f240(x1493,x1492))
% 225.14/225.12 [150]~E(x1501,x1502)+E(f568(x1501,x1503),f568(x1502,x1503))
% 225.14/225.12 [151]~E(x1511,x1512)+E(f568(x1513,x1511),f568(x1513,x1512))
% 225.14/225.12 [152]~E(x1521,x1522)+E(f305(x1521,x1523,x1524),f305(x1522,x1523,x1524))
% 225.14/225.12 [153]~E(x1531,x1532)+E(f305(x1533,x1531,x1534),f305(x1533,x1532,x1534))
% 225.14/225.12 [154]~E(x1541,x1542)+E(f305(x1543,x1544,x1541),f305(x1543,x1544,x1542))
% 225.14/225.12 [155]~E(x1551,x1552)+E(f265(x1551,x1553),f265(x1552,x1553))
% 225.14/225.12 [156]~E(x1561,x1562)+E(f265(x1563,x1561),f265(x1563,x1562))
% 225.14/225.12 [157]~E(x1571,x1572)+E(f20(x1571,x1573,x1574),f20(x1572,x1573,x1574))
% 225.14/225.12 [158]~E(x1581,x1582)+E(f20(x1583,x1581,x1584),f20(x1583,x1582,x1584))
% 225.14/225.12 [159]~E(x1591,x1592)+E(f20(x1593,x1594,x1591),f20(x1593,x1594,x1592))
% 225.14/225.12 [160]~E(x1601,x1602)+E(f7(x1601),f7(x1602))
% 225.14/225.12 [161]~E(x1611,x1612)+E(f180(x1611),f180(x1612))
% 225.14/225.12 [162]~E(x1621,x1622)+E(f261(x1621),f261(x1622))
% 225.14/225.12 [163]~E(x1631,x1632)+E(f769(x1631,x1633,x1634,x1635),f769(x1632,x1633,x1634,x1635))
% 225.14/225.12 [164]~E(x1641,x1642)+E(f769(x1643,x1641,x1644,x1645),f769(x1643,x1642,x1644,x1645))
% 225.14/225.12 [165]~E(x1651,x1652)+E(f769(x1653,x1654,x1651,x1655),f769(x1653,x1654,x1652,x1655))
% 225.14/225.12 [166]~E(x1661,x1662)+E(f769(x1663,x1664,x1665,x1661),f769(x1663,x1664,x1665,x1662))
% 225.14/225.12 [167]~E(x1671,x1672)+E(f267(x1671,x1673),f267(x1672,x1673))
% 225.14/225.12 [168]~E(x1681,x1682)+E(f267(x1683,x1681),f267(x1683,x1682))
% 225.14/225.12 [169]~E(x1691,x1692)+E(f167(x1691),f167(x1692))
% 225.14/225.12 [170]~E(x1701,x1702)+E(f136(x1701,x1703),f136(x1702,x1703))
% 225.14/225.12 [171]~E(x1711,x1712)+E(f136(x1713,x1711),f136(x1713,x1712))
% 225.14/225.12 [172]~E(x1721,x1722)+E(f64(x1721,x1723,x1724),f64(x1722,x1723,x1724))
% 225.14/225.12 [173]~E(x1731,x1732)+E(f64(x1733,x1731,x1734),f64(x1733,x1732,x1734))
% 225.14/225.12 [174]~E(x1741,x1742)+E(f64(x1743,x1744,x1741),f64(x1743,x1744,x1742))
% 225.14/225.12 [175]~E(x1751,x1752)+E(f348(x1751,x1753,x1754),f348(x1752,x1753,x1754))
% 225.14/225.12 [176]~E(x1761,x1762)+E(f348(x1763,x1761,x1764),f348(x1763,x1762,x1764))
% 225.14/225.12 [177]~E(x1771,x1772)+E(f348(x1773,x1774,x1771),f348(x1773,x1774,x1772))
% 225.14/225.12 [178]~E(x1781,x1782)+E(f75(x1781),f75(x1782))
% 225.14/225.12 [179]~E(x1791,x1792)+E(f36(x1791,x1793),f36(x1792,x1793))
% 225.14/225.12 [180]~E(x1801,x1802)+E(f36(x1803,x1801),f36(x1803,x1802))
% 225.14/225.12 [181]~E(x1811,x1812)+E(f63(x1811,x1813,x1814),f63(x1812,x1813,x1814))
% 225.14/225.12 [182]~E(x1821,x1822)+E(f63(x1823,x1821,x1824),f63(x1823,x1822,x1824))
% 225.14/225.12 [183]~E(x1831,x1832)+E(f63(x1833,x1834,x1831),f63(x1833,x1834,x1832))
% 225.14/225.12 [184]~E(x1841,x1842)+E(f12(x1841,x1843),f12(x1842,x1843))
% 225.14/225.12 [185]~E(x1851,x1852)+E(f12(x1853,x1851),f12(x1853,x1852))
% 225.14/225.12 [186]~E(x1861,x1862)+E(f74(x1861,x1863,x1864,x1865,x1866),f74(x1862,x1863,x1864,x1865,x1866))
% 225.14/225.12 [187]~E(x1871,x1872)+E(f74(x1873,x1871,x1874,x1875,x1876),f74(x1873,x1872,x1874,x1875,x1876))
% 225.14/225.12 [188]~E(x1881,x1882)+E(f74(x1883,x1884,x1881,x1885,x1886),f74(x1883,x1884,x1882,x1885,x1886))
% 225.14/225.12 [189]~E(x1891,x1892)+E(f74(x1893,x1894,x1895,x1891,x1896),f74(x1893,x1894,x1895,x1892,x1896))
% 225.14/225.12 [190]~E(x1901,x1902)+E(f74(x1903,x1904,x1905,x1906,x1901),f74(x1903,x1904,x1905,x1906,x1902))
% 225.14/225.12 [191]~E(x1911,x1912)+E(f721(x1911,x1913,x1914,x1915,x1916),f721(x1912,x1913,x1914,x1915,x1916))
% 225.14/225.12 [192]~E(x1921,x1922)+E(f721(x1923,x1921,x1924,x1925,x1926),f721(x1923,x1922,x1924,x1925,x1926))
% 225.14/225.12 [193]~E(x1931,x1932)+E(f721(x1933,x1934,x1931,x1935,x1936),f721(x1933,x1934,x1932,x1935,x1936))
% 225.14/225.12 [194]~E(x1941,x1942)+E(f721(x1943,x1944,x1945,x1941,x1946),f721(x1943,x1944,x1945,x1942,x1946))
% 225.14/225.12 [195]~E(x1951,x1952)+E(f721(x1953,x1954,x1955,x1956,x1951),f721(x1953,x1954,x1955,x1956,x1952))
% 225.14/225.12 [196]~E(x1961,x1962)+E(f145(x1961,x1963),f145(x1962,x1963))
% 225.14/225.12 [197]~E(x1971,x1972)+E(f145(x1973,x1971),f145(x1973,x1972))
% 225.14/225.12 [198]~E(x1981,x1982)+E(f773(x1981,x1983,x1984),f773(x1982,x1983,x1984))
% 225.14/225.12 [199]~E(x1991,x1992)+E(f773(x1993,x1991,x1994),f773(x1993,x1992,x1994))
% 225.14/225.12 [200]~E(x2001,x2002)+E(f773(x2003,x2004,x2001),f773(x2003,x2004,x2002))
% 225.14/225.12 [201]~E(x2011,x2012)+E(f164(x2011),f164(x2012))
% 225.14/225.12 [202]~E(x2021,x2022)+E(f400(x2021,x2023,x2024),f400(x2022,x2023,x2024))
% 225.14/225.12 [203]~E(x2031,x2032)+E(f400(x2033,x2031,x2034),f400(x2033,x2032,x2034))
% 225.14/225.12 [204]~E(x2041,x2042)+E(f400(x2043,x2044,x2041),f400(x2043,x2044,x2042))
% 225.14/225.12 [205]~E(x2051,x2052)+E(f304(x2051,x2053,x2054),f304(x2052,x2053,x2054))
% 225.14/225.12 [206]~E(x2061,x2062)+E(f304(x2063,x2061,x2064),f304(x2063,x2062,x2064))
% 225.14/225.12 [207]~E(x2071,x2072)+E(f304(x2073,x2074,x2071),f304(x2073,x2074,x2072))
% 225.14/225.12 [208]~E(x2081,x2082)+E(f309(x2081,x2083,x2084),f309(x2082,x2083,x2084))
% 225.14/225.12 [209]~E(x2091,x2092)+E(f309(x2093,x2091,x2094),f309(x2093,x2092,x2094))
% 225.14/225.12 [210]~E(x2101,x2102)+E(f309(x2103,x2104,x2101),f309(x2103,x2104,x2102))
% 225.14/225.12 [211]~E(x2111,x2112)+E(f286(x2111),f286(x2112))
% 225.14/225.12 [212]~E(x2121,x2122)+E(f241(x2121),f241(x2122))
% 225.14/225.12 [213]~E(x2131,x2132)+E(f585(x2131,x2133,x2134,x2135),f585(x2132,x2133,x2134,x2135))
% 225.14/225.12 [214]~E(x2141,x2142)+E(f585(x2143,x2141,x2144,x2145),f585(x2143,x2142,x2144,x2145))
% 225.14/225.12 [215]~E(x2151,x2152)+E(f585(x2153,x2154,x2151,x2155),f585(x2153,x2154,x2152,x2155))
% 225.14/225.12 [216]~E(x2161,x2162)+E(f585(x2163,x2164,x2165,x2161),f585(x2163,x2164,x2165,x2162))
% 225.14/225.12 [217]~E(x2171,x2172)+E(f160(x2171,x2173),f160(x2172,x2173))
% 225.14/225.12 [218]~E(x2181,x2182)+E(f160(x2183,x2181),f160(x2183,x2182))
% 225.14/225.12 [219]~E(x2191,x2192)+E(f906(x2191,x2193,x2194),f906(x2192,x2193,x2194))
% 225.14/225.12 [220]~E(x2201,x2202)+E(f906(x2203,x2201,x2204),f906(x2203,x2202,x2204))
% 225.14/225.12 [221]~E(x2211,x2212)+E(f906(x2213,x2214,x2211),f906(x2213,x2214,x2212))
% 225.14/225.12 [222]~E(x2221,x2222)+E(f14(x2221,x2223,x2224),f14(x2222,x2223,x2224))
% 225.14/225.12 [223]~E(x2231,x2232)+E(f14(x2233,x2231,x2234),f14(x2233,x2232,x2234))
% 225.14/225.12 [224]~E(x2241,x2242)+E(f14(x2243,x2244,x2241),f14(x2243,x2244,x2242))
% 225.14/225.12 [225]~E(x2251,x2252)+E(f310(x2251,x2253,x2254),f310(x2252,x2253,x2254))
% 225.14/225.12 [226]~E(x2261,x2262)+E(f310(x2263,x2261,x2264),f310(x2263,x2262,x2264))
% 225.14/225.12 [227]~E(x2271,x2272)+E(f310(x2273,x2274,x2271),f310(x2273,x2274,x2272))
% 225.14/225.12 [228]~E(x2281,x2282)+E(f115(x2281),f115(x2282))
% 225.14/225.12 [229]~E(x2291,x2292)+E(f18(x2291,x2293),f18(x2292,x2293))
% 225.14/225.12 [230]~E(x2301,x2302)+E(f18(x2303,x2301),f18(x2303,x2302))
% 225.14/225.12 [231]~E(x2311,x2312)+E(f39(x2311,x2313),f39(x2312,x2313))
% 225.14/225.12 [232]~E(x2321,x2322)+E(f39(x2323,x2321),f39(x2323,x2322))
% 225.14/225.12 [233]~E(x2331,x2332)+E(f34(x2331),f34(x2332))
% 225.14/225.12 [234]~E(x2341,x2342)+E(f45(x2341,x2343),f45(x2342,x2343))
% 225.14/225.12 [235]~E(x2351,x2352)+E(f45(x2353,x2351),f45(x2353,x2352))
% 225.14/225.12 [236]~E(x2361,x2362)+E(f403(x2361,x2363),f403(x2362,x2363))
% 225.14/225.12 [237]~E(x2371,x2372)+E(f403(x2373,x2371),f403(x2373,x2372))
% 225.14/225.12 [238]~E(x2381,x2382)+E(f752(x2381,x2383,x2384),f752(x2382,x2383,x2384))
% 225.14/225.12 [239]~E(x2391,x2392)+E(f752(x2393,x2391,x2394),f752(x2393,x2392,x2394))
% 225.14/225.12 [240]~E(x2401,x2402)+E(f752(x2403,x2404,x2401),f752(x2403,x2404,x2402))
% 225.14/225.12 [241]~E(x2411,x2412)+E(f372(x2411,x2413,x2414,x2415,x2416),f372(x2412,x2413,x2414,x2415,x2416))
% 225.14/225.12 [242]~E(x2421,x2422)+E(f372(x2423,x2421,x2424,x2425,x2426),f372(x2423,x2422,x2424,x2425,x2426))
% 225.14/225.12 [243]~E(x2431,x2432)+E(f372(x2433,x2434,x2431,x2435,x2436),f372(x2433,x2434,x2432,x2435,x2436))
% 225.14/225.12 [244]~E(x2441,x2442)+E(f372(x2443,x2444,x2445,x2441,x2446),f372(x2443,x2444,x2445,x2442,x2446))
% 225.14/225.12 [245]~E(x2451,x2452)+E(f372(x2453,x2454,x2455,x2456,x2451),f372(x2453,x2454,x2455,x2456,x2452))
% 225.14/225.12 [246]~E(x2461,x2462)+E(f709(x2461,x2463),f709(x2462,x2463))
% 225.14/225.12 [247]~E(x2471,x2472)+E(f709(x2473,x2471),f709(x2473,x2472))
% 225.14/225.12 [248]~E(x2481,x2482)+E(f46(x2481,x2483),f46(x2482,x2483))
% 225.14/225.12 [249]~E(x2491,x2492)+E(f46(x2493,x2491),f46(x2493,x2492))
% 225.14/225.12 [250]~E(x2501,x2502)+E(f149(x2501,x2503,x2504,x2505,x2506),f149(x2502,x2503,x2504,x2505,x2506))
% 225.14/225.12 [251]~E(x2511,x2512)+E(f149(x2513,x2511,x2514,x2515,x2516),f149(x2513,x2512,x2514,x2515,x2516))
% 225.14/225.12 [252]~E(x2521,x2522)+E(f149(x2523,x2524,x2521,x2525,x2526),f149(x2523,x2524,x2522,x2525,x2526))
% 225.14/225.12 [253]~E(x2531,x2532)+E(f149(x2533,x2534,x2535,x2531,x2536),f149(x2533,x2534,x2535,x2532,x2536))
% 225.14/225.12 [254]~E(x2541,x2542)+E(f149(x2543,x2544,x2545,x2546,x2541),f149(x2543,x2544,x2545,x2546,x2542))
% 225.14/225.12 [255]~E(x2551,x2552)+E(f291(x2551,x2553),f291(x2552,x2553))
% 225.14/225.12 [256]~E(x2561,x2562)+E(f291(x2563,x2561),f291(x2563,x2562))
% 225.14/225.12 [257]~E(x2571,x2572)+E(f152(x2571,x2573),f152(x2572,x2573))
% 225.14/225.12 [258]~E(x2581,x2582)+E(f152(x2583,x2581),f152(x2583,x2582))
% 225.14/225.12 [259]~E(x2591,x2592)+E(f288(x2591,x2593,x2594),f288(x2592,x2593,x2594))
% 225.14/225.12 [260]~E(x2601,x2602)+E(f288(x2603,x2601,x2604),f288(x2603,x2602,x2604))
% 225.14/225.12 [261]~E(x2611,x2612)+E(f288(x2613,x2614,x2611),f288(x2613,x2614,x2612))
% 225.14/225.12 [262]~E(x2621,x2622)+E(f191(x2621),f191(x2622))
% 225.14/225.12 [263]~E(x2631,x2632)+E(f176(x2631,x2633,x2634),f176(x2632,x2633,x2634))
% 225.14/225.12 [264]~E(x2641,x2642)+E(f176(x2643,x2641,x2644),f176(x2643,x2642,x2644))
% 225.14/225.12 [265]~E(x2651,x2652)+E(f176(x2653,x2654,x2651),f176(x2653,x2654,x2652))
% 225.14/225.12 [266]~E(x2661,x2662)+E(f663(x2661,x2663,x2664),f663(x2662,x2663,x2664))
% 225.14/225.12 [267]~E(x2671,x2672)+E(f663(x2673,x2671,x2674),f663(x2673,x2672,x2674))
% 225.14/225.12 [268]~E(x2681,x2682)+E(f663(x2683,x2684,x2681),f663(x2683,x2684,x2682))
% 225.14/225.12 [269]~E(x2691,x2692)+E(f923(x2691,x2693),f923(x2692,x2693))
% 225.14/225.12 [270]~E(x2701,x2702)+E(f923(x2703,x2701),f923(x2703,x2702))
% 225.14/225.12 [271]~E(x2711,x2712)+E(f922(x2711,x2713),f922(x2712,x2713))
% 225.14/225.12 [272]~E(x2721,x2722)+E(f922(x2723,x2721),f922(x2723,x2722))
% 225.14/225.12 [273]~E(x2731,x2732)+E(f72(x2731,x2733,x2734,x2735),f72(x2732,x2733,x2734,x2735))
% 225.14/225.12 [274]~E(x2741,x2742)+E(f72(x2743,x2741,x2744,x2745),f72(x2743,x2742,x2744,x2745))
% 225.14/225.12 [275]~E(x2751,x2752)+E(f72(x2753,x2754,x2751,x2755),f72(x2753,x2754,x2752,x2755))
% 225.14/225.12 [276]~E(x2761,x2762)+E(f72(x2763,x2764,x2765,x2761),f72(x2763,x2764,x2765,x2762))
% 225.14/225.12 [277]~E(x2771,x2772)+E(f548(x2771,x2773,x2774,x2775,x2776,x2777),f548(x2772,x2773,x2774,x2775,x2776,x2777))
% 225.14/225.12 [278]~E(x2781,x2782)+E(f548(x2783,x2781,x2784,x2785,x2786,x2787),f548(x2783,x2782,x2784,x2785,x2786,x2787))
% 225.14/225.12 [279]~E(x2791,x2792)+E(f548(x2793,x2794,x2791,x2795,x2796,x2797),f548(x2793,x2794,x2792,x2795,x2796,x2797))
% 225.14/225.12 [280]~E(x2801,x2802)+E(f548(x2803,x2804,x2805,x2801,x2806,x2807),f548(x2803,x2804,x2805,x2802,x2806,x2807))
% 225.14/225.12 [281]~E(x2811,x2812)+E(f548(x2813,x2814,x2815,x2816,x2811,x2817),f548(x2813,x2814,x2815,x2816,x2812,x2817))
% 225.14/225.12 [282]~E(x2821,x2822)+E(f548(x2823,x2824,x2825,x2826,x2827,x2821),f548(x2823,x2824,x2825,x2826,x2827,x2822))
% 225.14/225.12 [283]~E(x2831,x2832)+E(f177(x2831,x2833,x2834),f177(x2832,x2833,x2834))
% 225.14/225.12 [284]~E(x2841,x2842)+E(f177(x2843,x2841,x2844),f177(x2843,x2842,x2844))
% 225.14/225.12 [285]~E(x2851,x2852)+E(f177(x2853,x2854,x2851),f177(x2853,x2854,x2852))
% 225.14/225.12 [286]~E(x2861,x2862)+E(f788(x2861,x2863,x2864,x2865),f788(x2862,x2863,x2864,x2865))
% 225.14/225.12 [287]~E(x2871,x2872)+E(f788(x2873,x2871,x2874,x2875),f788(x2873,x2872,x2874,x2875))
% 225.14/225.12 [288]~E(x2881,x2882)+E(f788(x2883,x2884,x2881,x2885),f788(x2883,x2884,x2882,x2885))
% 225.14/225.12 [289]~E(x2891,x2892)+E(f788(x2893,x2894,x2895,x2891),f788(x2893,x2894,x2895,x2892))
% 225.14/225.12 [290]~E(x2901,x2902)+E(f458(x2901,x2903,x2904),f458(x2902,x2903,x2904))
% 225.14/225.12 [291]~E(x2911,x2912)+E(f458(x2913,x2911,x2914),f458(x2913,x2912,x2914))
% 225.14/225.12 [292]~E(x2921,x2922)+E(f458(x2923,x2924,x2921),f458(x2923,x2924,x2922))
% 225.14/225.12 [293]~E(x2931,x2932)+E(f16(x2931,x2933),f16(x2932,x2933))
% 225.14/225.12 [294]~E(x2941,x2942)+E(f16(x2943,x2941),f16(x2943,x2942))
% 225.14/225.12 [295]~E(x2951,x2952)+E(f676(x2951,x2953,x2954),f676(x2952,x2953,x2954))
% 225.14/225.12 [296]~E(x2961,x2962)+E(f676(x2963,x2961,x2964),f676(x2963,x2962,x2964))
% 225.14/225.12 [297]~E(x2971,x2972)+E(f676(x2973,x2974,x2971),f676(x2973,x2974,x2972))
% 225.14/225.12 [298]~E(x2981,x2982)+E(f226(x2981,x2983,x2984,x2985,x2986),f226(x2982,x2983,x2984,x2985,x2986))
% 225.14/225.12 [299]~E(x2991,x2992)+E(f226(x2993,x2991,x2994,x2995,x2996),f226(x2993,x2992,x2994,x2995,x2996))
% 225.14/225.12 [300]~E(x3001,x3002)+E(f226(x3003,x3004,x3001,x3005,x3006),f226(x3003,x3004,x3002,x3005,x3006))
% 225.14/225.12 [301]~E(x3011,x3012)+E(f226(x3013,x3014,x3015,x3011,x3016),f226(x3013,x3014,x3015,x3012,x3016))
% 225.14/225.12 [302]~E(x3021,x3022)+E(f226(x3023,x3024,x3025,x3026,x3021),f226(x3023,x3024,x3025,x3026,x3022))
% 225.14/225.12 [303]~E(x3031,x3032)+E(f362(x3031,x3033,x3034),f362(x3032,x3033,x3034))
% 225.14/225.12 [304]~E(x3041,x3042)+E(f362(x3043,x3041,x3044),f362(x3043,x3042,x3044))
% 225.14/225.12 [305]~E(x3051,x3052)+E(f362(x3053,x3054,x3051),f362(x3053,x3054,x3052))
% 225.14/225.12 [306]~E(x3061,x3062)+E(f47(x3061,x3063),f47(x3062,x3063))
% 225.14/225.12 [307]~E(x3071,x3072)+E(f47(x3073,x3071),f47(x3073,x3072))
% 225.14/225.12 [308]~E(x3081,x3082)+E(f138(x3081),f138(x3082))
% 225.14/225.12 [309]~E(x3091,x3092)+E(f85(x3091,x3093),f85(x3092,x3093))
% 225.14/225.12 [310]~E(x3101,x3102)+E(f85(x3103,x3101),f85(x3103,x3102))
% 225.14/225.12 [311]~E(x3111,x3112)+E(f212(x3111),f212(x3112))
% 225.14/225.12 [312]~E(x3121,x3122)+E(f62(x3121,x3123),f62(x3122,x3123))
% 225.14/225.12 [313]~E(x3131,x3132)+E(f62(x3133,x3131),f62(x3133,x3132))
% 225.14/225.12 [314]~E(x3141,x3142)+E(f125(x3141,x3143),f125(x3142,x3143))
% 225.14/225.12 [315]~E(x3151,x3152)+E(f125(x3153,x3151),f125(x3153,x3152))
% 225.14/225.12 [316]~E(x3161,x3162)+E(f828(x3161,x3163,x3164),f828(x3162,x3163,x3164))
% 225.14/225.12 [317]~E(x3171,x3172)+E(f828(x3173,x3171,x3174),f828(x3173,x3172,x3174))
% 225.14/225.12 [318]~E(x3181,x3182)+E(f828(x3183,x3184,x3181),f828(x3183,x3184,x3182))
% 225.14/225.12 [319]~E(x3191,x3192)+E(f731(x3191,x3193),f731(x3192,x3193))
% 225.14/225.12 [320]~E(x3201,x3202)+E(f731(x3203,x3201),f731(x3203,x3202))
% 225.14/225.12 [321]~E(x3211,x3212)+E(f393(x3211,x3213,x3214,x3215),f393(x3212,x3213,x3214,x3215))
% 225.14/225.12 [322]~E(x3221,x3222)+E(f393(x3223,x3221,x3224,x3225),f393(x3223,x3222,x3224,x3225))
% 225.14/225.12 [323]~E(x3231,x3232)+E(f393(x3233,x3234,x3231,x3235),f393(x3233,x3234,x3232,x3235))
% 225.14/225.12 [324]~E(x3241,x3242)+E(f393(x3243,x3244,x3245,x3241),f393(x3243,x3244,x3245,x3242))
% 225.14/225.12 [325]~E(x3251,x3252)+E(f317(x3251,x3253),f317(x3252,x3253))
% 225.14/225.12 [326]~E(x3261,x3262)+E(f317(x3263,x3261),f317(x3263,x3262))
% 225.14/225.12 [327]~E(x3271,x3272)+E(f340(x3271,x3273,x3274),f340(x3272,x3273,x3274))
% 225.14/225.12 [328]~E(x3281,x3282)+E(f340(x3283,x3281,x3284),f340(x3283,x3282,x3284))
% 225.14/225.12 [329]~E(x3291,x3292)+E(f340(x3293,x3294,x3291),f340(x3293,x3294,x3292))
% 225.14/225.12 [330]~E(x3301,x3302)+E(f319(x3301,x3303),f319(x3302,x3303))
% 225.14/225.12 [331]~E(x3311,x3312)+E(f319(x3313,x3311),f319(x3313,x3312))
% 225.14/225.12 [332]~E(x3321,x3322)+E(f341(x3321,x3323,x3324),f341(x3322,x3323,x3324))
% 225.14/225.12 [333]~E(x3331,x3332)+E(f341(x3333,x3331,x3334),f341(x3333,x3332,x3334))
% 225.14/225.12 [334]~E(x3341,x3342)+E(f341(x3343,x3344,x3341),f341(x3343,x3344,x3342))
% 225.14/225.12 [335]~E(x3351,x3352)+E(f161(x3351,x3353),f161(x3352,x3353))
% 225.14/225.12 [336]~E(x3361,x3362)+E(f161(x3363,x3361),f161(x3363,x3362))
% 225.14/225.12 [337]~E(x3371,x3372)+E(f17(x3371,x3373),f17(x3372,x3373))
% 225.14/225.12 [338]~E(x3381,x3382)+E(f17(x3383,x3381),f17(x3383,x3382))
% 225.14/225.12 [339]~E(x3391,x3392)+E(f384(x3391,x3393),f384(x3392,x3393))
% 225.14/225.12 [340]~E(x3401,x3402)+E(f384(x3403,x3401),f384(x3403,x3402))
% 225.14/225.12 [341]~E(x3411,x3412)+E(f90(x3411,x3413,x3414,x3415),f90(x3412,x3413,x3414,x3415))
% 225.14/225.12 [342]~E(x3421,x3422)+E(f90(x3423,x3421,x3424,x3425),f90(x3423,x3422,x3424,x3425))
% 225.14/225.12 [343]~E(x3431,x3432)+E(f90(x3433,x3434,x3431,x3435),f90(x3433,x3434,x3432,x3435))
% 225.14/225.12 [344]~E(x3441,x3442)+E(f90(x3443,x3444,x3445,x3441),f90(x3443,x3444,x3445,x3442))
% 225.14/225.12 [345]~E(x3451,x3452)+E(f143(x3451,x3453),f143(x3452,x3453))
% 225.14/225.12 [346]~E(x3461,x3462)+E(f143(x3463,x3461),f143(x3463,x3462))
% 225.14/225.12 [347]~E(x3471,x3472)+E(f381(x3471,x3473),f381(x3472,x3473))
% 225.14/225.12 [348]~E(x3481,x3482)+E(f381(x3483,x3481),f381(x3483,x3482))
% 225.14/225.12 [349]~E(x3491,x3492)+E(f702(x3491,x3493,x3494,x3495,x3496),f702(x3492,x3493,x3494,x3495,x3496))
% 225.14/225.12 [350]~E(x3501,x3502)+E(f702(x3503,x3501,x3504,x3505,x3506),f702(x3503,x3502,x3504,x3505,x3506))
% 225.14/225.12 [351]~E(x3511,x3512)+E(f702(x3513,x3514,x3511,x3515,x3516),f702(x3513,x3514,x3512,x3515,x3516))
% 225.14/225.12 [352]~E(x3521,x3522)+E(f702(x3523,x3524,x3525,x3521,x3526),f702(x3523,x3524,x3525,x3522,x3526))
% 225.14/225.12 [353]~E(x3531,x3532)+E(f702(x3533,x3534,x3535,x3536,x3531),f702(x3533,x3534,x3535,x3536,x3532))
% 225.14/225.12 [354]~E(x3541,x3542)+E(f142(x3541,x3543,x3544,x3545),f142(x3542,x3543,x3544,x3545))
% 225.14/225.12 [355]~E(x3551,x3552)+E(f142(x3553,x3551,x3554,x3555),f142(x3553,x3552,x3554,x3555))
% 225.14/225.12 [356]~E(x3561,x3562)+E(f142(x3563,x3564,x3561,x3565),f142(x3563,x3564,x3562,x3565))
% 225.14/225.12 [357]~E(x3571,x3572)+E(f142(x3573,x3574,x3575,x3571),f142(x3573,x3574,x3575,x3572))
% 225.14/225.12 [358]~E(x3581,x3582)+E(f637(x3581,x3583,x3584,x3585,x3586),f637(x3582,x3583,x3584,x3585,x3586))
% 225.14/225.12 [359]~E(x3591,x3592)+E(f637(x3593,x3591,x3594,x3595,x3596),f637(x3593,x3592,x3594,x3595,x3596))
% 225.14/225.12 [360]~E(x3601,x3602)+E(f637(x3603,x3604,x3601,x3605,x3606),f637(x3603,x3604,x3602,x3605,x3606))
% 225.14/225.12 [361]~E(x3611,x3612)+E(f637(x3613,x3614,x3615,x3611,x3616),f637(x3613,x3614,x3615,x3612,x3616))
% 225.14/225.12 [362]~E(x3621,x3622)+E(f637(x3623,x3624,x3625,x3626,x3621),f637(x3623,x3624,x3625,x3626,x3622))
% 225.14/225.12 [363]~E(x3631,x3632)+E(f157(x3631,x3633),f157(x3632,x3633))
% 225.14/225.12 [364]~E(x3641,x3642)+E(f157(x3643,x3641),f157(x3643,x3642))
% 225.14/225.12 [365]~E(x3651,x3652)+E(f586(x3651,x3653,x3654),f586(x3652,x3653,x3654))
% 225.14/225.12 [366]~E(x3661,x3662)+E(f586(x3663,x3661,x3664),f586(x3663,x3662,x3664))
% 225.14/225.12 [367]~E(x3671,x3672)+E(f586(x3673,x3674,x3671),f586(x3673,x3674,x3672))
% 225.14/225.12 [368]~E(x3681,x3682)+E(f830(x3681,x3683,x3684),f830(x3682,x3683,x3684))
% 225.14/225.12 [369]~E(x3691,x3692)+E(f830(x3693,x3691,x3694),f830(x3693,x3692,x3694))
% 225.14/225.12 [370]~E(x3701,x3702)+E(f830(x3703,x3704,x3701),f830(x3703,x3704,x3702))
% 225.14/225.12 [371]~E(x3711,x3712)+E(f61(x3711,x3713,x3714),f61(x3712,x3713,x3714))
% 225.14/225.12 [372]~E(x3721,x3722)+E(f61(x3723,x3721,x3724),f61(x3723,x3722,x3724))
% 225.14/225.12 [373]~E(x3731,x3732)+E(f61(x3733,x3734,x3731),f61(x3733,x3734,x3732))
% 225.14/225.12 [374]~E(x3741,x3742)+E(f119(x3741),f119(x3742))
% 225.14/225.12 [375]~E(x3751,x3752)+E(f120(x3751,x3753),f120(x3752,x3753))
% 225.14/225.12 [376]~E(x3761,x3762)+E(f120(x3763,x3761),f120(x3763,x3762))
% 225.14/225.12 [377]~E(x3771,x3772)+E(f256(x3771,x3773,x3774),f256(x3772,x3773,x3774))
% 225.14/225.12 [378]~E(x3781,x3782)+E(f256(x3783,x3781,x3784),f256(x3783,x3782,x3784))
% 225.14/225.12 [379]~E(x3791,x3792)+E(f256(x3793,x3794,x3791),f256(x3793,x3794,x3792))
% 225.14/225.12 [380]~E(x3801,x3802)+E(f645(x3801,x3803,x3804,x3805),f645(x3802,x3803,x3804,x3805))
% 225.14/225.12 [381]~E(x3811,x3812)+E(f645(x3813,x3811,x3814,x3815),f645(x3813,x3812,x3814,x3815))
% 225.14/225.12 [382]~E(x3821,x3822)+E(f645(x3823,x3824,x3821,x3825),f645(x3823,x3824,x3822,x3825))
% 225.14/225.12 [383]~E(x3831,x3832)+E(f645(x3833,x3834,x3835,x3831),f645(x3833,x3834,x3835,x3832))
% 225.14/225.12 [384]~E(x3841,x3842)+E(f156(x3841,x3843,x3844,x3845),f156(x3842,x3843,x3844,x3845))
% 225.14/225.12 [385]~E(x3851,x3852)+E(f156(x3853,x3851,x3854,x3855),f156(x3853,x3852,x3854,x3855))
% 225.14/225.12 [386]~E(x3861,x3862)+E(f156(x3863,x3864,x3861,x3865),f156(x3863,x3864,x3862,x3865))
% 225.14/225.12 [387]~E(x3871,x3872)+E(f156(x3873,x3874,x3875,x3871),f156(x3873,x3874,x3875,x3872))
% 225.14/225.12 [388]~E(x3881,x3882)+E(f242(x3881,x3883,x3884),f242(x3882,x3883,x3884))
% 225.14/225.12 [389]~E(x3891,x3892)+E(f242(x3893,x3891,x3894),f242(x3893,x3892,x3894))
% 225.14/225.12 [390]~E(x3901,x3902)+E(f242(x3903,x3904,x3901),f242(x3903,x3904,x3902))
% 225.14/225.12 [391]~E(x3911,x3912)+E(f84(x3911,x3913),f84(x3912,x3913))
% 225.14/225.12 [392]~E(x3921,x3922)+E(f84(x3923,x3921),f84(x3923,x3922))
% 225.14/225.12 [393]~E(x3931,x3932)+E(f128(x3931,x3933),f128(x3932,x3933))
% 225.14/225.12 [394]~E(x3941,x3942)+E(f128(x3943,x3941),f128(x3943,x3942))
% 225.14/225.12 [395]~E(x3951,x3952)+E(f89(x3951,x3953),f89(x3952,x3953))
% 225.14/225.12 [396]~E(x3961,x3962)+E(f89(x3963,x3961),f89(x3963,x3962))
% 225.14/225.12 [397]~E(x3971,x3972)+E(f178(x3971,x3973),f178(x3972,x3973))
% 225.14/225.12 [398]~E(x3981,x3982)+E(f178(x3983,x3981),f178(x3983,x3982))
% 225.14/225.12 [399]~E(x3991,x3992)+E(f153(x3991,x3993),f153(x3992,x3993))
% 225.14/225.12 [400]~E(x4001,x4002)+E(f153(x4003,x4001),f153(x4003,x4002))
% 225.14/225.12 [401]~E(x4011,x4012)+E(f262(x4011,x4013),f262(x4012,x4013))
% 225.14/225.12 [402]~E(x4021,x4022)+E(f262(x4023,x4021),f262(x4023,x4022))
% 225.14/225.12 [403]~E(x4031,x4032)+E(f147(x4031,x4033),f147(x4032,x4033))
% 225.14/225.12 [404]~E(x4041,x4042)+E(f147(x4043,x4041),f147(x4043,x4042))
% 225.14/225.12 [405]~E(x4051,x4052)+E(f215(x4051,x4053),f215(x4052,x4053))
% 225.14/225.12 [406]~E(x4061,x4062)+E(f215(x4063,x4061),f215(x4063,x4062))
% 225.14/225.12 [407]~E(x4071,x4072)+E(f81(x4071,x4073),f81(x4072,x4073))
% 225.14/225.12 [408]~E(x4081,x4082)+E(f81(x4083,x4081),f81(x4083,x4082))
% 225.14/225.12 [409]~E(x4091,x4092)+E(f850(x4091,x4093,x4094,x4095,x4096,x4097),f850(x4092,x4093,x4094,x4095,x4096,x4097))
% 225.14/225.12 [410]~E(x4101,x4102)+E(f850(x4103,x4101,x4104,x4105,x4106,x4107),f850(x4103,x4102,x4104,x4105,x4106,x4107))
% 225.14/225.12 [411]~E(x4111,x4112)+E(f850(x4113,x4114,x4111,x4115,x4116,x4117),f850(x4113,x4114,x4112,x4115,x4116,x4117))
% 225.14/225.12 [412]~E(x4121,x4122)+E(f850(x4123,x4124,x4125,x4121,x4126,x4127),f850(x4123,x4124,x4125,x4122,x4126,x4127))
% 225.14/225.12 [413]~E(x4131,x4132)+E(f850(x4133,x4134,x4135,x4136,x4131,x4137),f850(x4133,x4134,x4135,x4136,x4132,x4137))
% 225.14/225.12 [414]~E(x4141,x4142)+E(f850(x4143,x4144,x4145,x4146,x4147,x4141),f850(x4143,x4144,x4145,x4146,x4147,x4142))
% 225.14/225.12 [415]~E(x4151,x4152)+E(f13(x4151,x4153),f13(x4152,x4153))
% 225.14/225.12 [416]~E(x4161,x4162)+E(f13(x4163,x4161),f13(x4163,x4162))
% 225.14/225.12 [417]~E(x4171,x4172)+E(f283(x4171,x4173),f283(x4172,x4173))
% 225.14/225.12 [418]~E(x4181,x4182)+E(f283(x4183,x4181),f283(x4183,x4182))
% 225.14/225.12 [419]~E(x4191,x4192)+E(f376(x4191,x4193),f376(x4192,x4193))
% 225.14/225.12 [420]~E(x4201,x4202)+E(f376(x4203,x4201),f376(x4203,x4202))
% 225.14/225.12 [421]~E(x4211,x4212)+E(f42(x4211),f42(x4212))
% 225.14/225.12 [422]~E(x4221,x4222)+E(f871(x4221,x4223),f871(x4222,x4223))
% 225.14/225.12 [423]~E(x4231,x4232)+E(f871(x4233,x4231),f871(x4233,x4232))
% 225.14/225.12 [424]~E(x4241,x4242)+E(f726(x4241,x4243),f726(x4242,x4243))
% 225.14/225.12 [425]~E(x4251,x4252)+E(f726(x4253,x4251),f726(x4253,x4252))
% 225.14/225.12 [426]~E(x4261,x4262)+E(f257(x4261,x4263,x4264,x4265,x4266,x4267),f257(x4262,x4263,x4264,x4265,x4266,x4267))
% 225.14/225.12 [427]~E(x4271,x4272)+E(f257(x4273,x4271,x4274,x4275,x4276,x4277),f257(x4273,x4272,x4274,x4275,x4276,x4277))
% 225.14/225.12 [428]~E(x4281,x4282)+E(f257(x4283,x4284,x4281,x4285,x4286,x4287),f257(x4283,x4284,x4282,x4285,x4286,x4287))
% 225.14/225.12 [429]~E(x4291,x4292)+E(f257(x4293,x4294,x4295,x4291,x4296,x4297),f257(x4293,x4294,x4295,x4292,x4296,x4297))
% 225.14/225.12 [430]~E(x4301,x4302)+E(f257(x4303,x4304,x4305,x4306,x4301,x4307),f257(x4303,x4304,x4305,x4306,x4302,x4307))
% 225.14/225.12 [431]~E(x4311,x4312)+E(f257(x4313,x4314,x4315,x4316,x4317,x4311),f257(x4313,x4314,x4315,x4316,x4317,x4312))
% 225.14/225.12 [432]~E(x4321,x4322)+E(f872(x4321,x4323,x4324,x4325,x4326),f872(x4322,x4323,x4324,x4325,x4326))
% 225.14/225.12 [433]~E(x4331,x4332)+E(f872(x4333,x4331,x4334,x4335,x4336),f872(x4333,x4332,x4334,x4335,x4336))
% 225.14/225.12 [434]~E(x4341,x4342)+E(f872(x4343,x4344,x4341,x4345,x4346),f872(x4343,x4344,x4342,x4345,x4346))
% 225.14/225.12 [435]~E(x4351,x4352)+E(f872(x4353,x4354,x4355,x4351,x4356),f872(x4353,x4354,x4355,x4352,x4356))
% 225.14/225.12 [436]~E(x4361,x4362)+E(f872(x4363,x4364,x4365,x4366,x4361),f872(x4363,x4364,x4365,x4366,x4362))
% 225.14/225.12 [437]~E(x4371,x4372)+E(f183(x4371,x4373),f183(x4372,x4373))
% 225.14/225.12 [438]~E(x4381,x4382)+E(f183(x4383,x4381),f183(x4383,x4382))
% 225.14/225.12 [439]~E(x4391,x4392)+E(f710(x4391,x4393),f710(x4392,x4393))
% 225.14/225.12 [440]~E(x4401,x4402)+E(f710(x4403,x4401),f710(x4403,x4402))
% 225.14/225.12 [441]~E(x4411,x4412)+E(f166(x4411,x4413,x4414),f166(x4412,x4413,x4414))
% 225.14/225.12 [442]~E(x4421,x4422)+E(f166(x4423,x4421,x4424),f166(x4423,x4422,x4424))
% 225.14/225.12 [443]~E(x4431,x4432)+E(f166(x4433,x4434,x4431),f166(x4433,x4434,x4432))
% 225.14/225.12 [444]~E(x4441,x4442)+E(f905(x4441,x4443,x4444),f905(x4442,x4443,x4444))
% 225.14/225.12 [445]~E(x4451,x4452)+E(f905(x4453,x4451,x4454),f905(x4453,x4452,x4454))
% 225.14/225.12 [446]~E(x4461,x4462)+E(f905(x4463,x4464,x4461),f905(x4463,x4464,x4462))
% 225.14/225.12 [447]~E(x4471,x4472)+E(f863(x4471,x4473,x4474),f863(x4472,x4473,x4474))
% 225.14/225.12 [448]~E(x4481,x4482)+E(f863(x4483,x4481,x4484),f863(x4483,x4482,x4484))
% 225.14/225.12 [449]~E(x4491,x4492)+E(f863(x4493,x4494,x4491),f863(x4493,x4494,x4492))
% 225.14/225.12 [450]~E(x4501,x4502)+E(f86(x4501),f86(x4502))
% 225.14/225.12 [451]~E(x4511,x4512)+E(f787(x4511,x4513,x4514,x4515,x4516,x4517,x4518),f787(x4512,x4513,x4514,x4515,x4516,x4517,x4518))
% 225.14/225.12 [452]~E(x4521,x4522)+E(f787(x4523,x4521,x4524,x4525,x4526,x4527,x4528),f787(x4523,x4522,x4524,x4525,x4526,x4527,x4528))
% 225.14/225.12 [453]~E(x4531,x4532)+E(f787(x4533,x4534,x4531,x4535,x4536,x4537,x4538),f787(x4533,x4534,x4532,x4535,x4536,x4537,x4538))
% 225.14/225.12 [454]~E(x4541,x4542)+E(f787(x4543,x4544,x4545,x4541,x4546,x4547,x4548),f787(x4543,x4544,x4545,x4542,x4546,x4547,x4548))
% 225.14/225.12 [455]~E(x4551,x4552)+E(f787(x4553,x4554,x4555,x4556,x4551,x4557,x4558),f787(x4553,x4554,x4555,x4556,x4552,x4557,x4558))
% 225.14/225.12 [456]~E(x4561,x4562)+E(f787(x4563,x4564,x4565,x4566,x4567,x4561,x4568),f787(x4563,x4564,x4565,x4566,x4567,x4562,x4568))
% 225.14/225.12 [457]~E(x4571,x4572)+E(f787(x4573,x4574,x4575,x4576,x4577,x4578,x4571),f787(x4573,x4574,x4575,x4576,x4577,x4578,x4572))
% 225.14/225.12 [458]~E(x4581,x4582)+E(f170(x4581,x4583,x4584),f170(x4582,x4583,x4584))
% 225.14/225.12 [459]~E(x4591,x4592)+E(f170(x4593,x4591,x4594),f170(x4593,x4592,x4594))
% 225.14/225.12 [460]~E(x4601,x4602)+E(f170(x4603,x4604,x4601),f170(x4603,x4604,x4602))
% 225.14/225.12 [461]~E(x4611,x4612)+E(f175(x4611),f175(x4612))
% 225.14/225.12 [462]~E(x4621,x4622)+E(f181(x4621,x4623),f181(x4622,x4623))
% 225.14/225.12 [463]~E(x4631,x4632)+E(f181(x4633,x4631),f181(x4633,x4632))
% 225.14/225.12 [464]~E(x4641,x4642)+E(f800(x4641,x4643,x4644,x4645,x4646),f800(x4642,x4643,x4644,x4645,x4646))
% 225.14/225.12 [465]~E(x4651,x4652)+E(f800(x4653,x4651,x4654,x4655,x4656),f800(x4653,x4652,x4654,x4655,x4656))
% 225.14/225.12 [466]~E(x4661,x4662)+E(f800(x4663,x4664,x4661,x4665,x4666),f800(x4663,x4664,x4662,x4665,x4666))
% 225.14/225.12 [467]~E(x4671,x4672)+E(f800(x4673,x4674,x4675,x4671,x4676),f800(x4673,x4674,x4675,x4672,x4676))
% 225.14/225.12 [468]~E(x4681,x4682)+E(f800(x4683,x4684,x4685,x4686,x4681),f800(x4683,x4684,x4685,x4686,x4682))
% 225.14/225.12 [469]~E(x4691,x4692)+E(f169(x4691,x4693,x4694),f169(x4692,x4693,x4694))
% 225.14/225.12 [470]~E(x4701,x4702)+E(f169(x4703,x4701,x4704),f169(x4703,x4702,x4704))
% 225.14/225.12 [471]~E(x4711,x4712)+E(f169(x4713,x4714,x4711),f169(x4713,x4714,x4712))
% 225.14/225.12 [472]~E(x4721,x4722)+E(f11(x4721,x4723),f11(x4722,x4723))
% 225.14/225.12 [473]~E(x4731,x4732)+E(f11(x4733,x4731),f11(x4733,x4732))
% 225.14/225.12 [474]~E(x4741,x4742)+E(f669(x4741,x4743,x4744,x4745),f669(x4742,x4743,x4744,x4745))
% 225.14/225.12 [475]~E(x4751,x4752)+E(f669(x4753,x4751,x4754,x4755),f669(x4753,x4752,x4754,x4755))
% 225.14/225.12 [476]~E(x4761,x4762)+E(f669(x4763,x4764,x4761,x4765),f669(x4763,x4764,x4762,x4765))
% 225.14/225.12 [477]~E(x4771,x4772)+E(f669(x4773,x4774,x4775,x4771),f669(x4773,x4774,x4775,x4772))
% 225.14/225.12 [478]~E(x4781,x4782)+E(f738(x4781,x4783),f738(x4782,x4783))
% 225.14/225.12 [479]~E(x4791,x4792)+E(f738(x4793,x4791),f738(x4793,x4792))
% 225.14/225.12 [480]~E(x4801,x4802)+E(f829(x4801,x4803,x4804),f829(x4802,x4803,x4804))
% 225.14/225.12 [481]~E(x4811,x4812)+E(f829(x4813,x4811,x4814),f829(x4813,x4812,x4814))
% 225.14/225.12 [482]~E(x4821,x4822)+E(f829(x4823,x4824,x4821),f829(x4823,x4824,x4822))
% 225.14/225.12 [483]~E(x4831,x4832)+E(f313(x4831),f313(x4832))
% 225.14/225.12 [484]~E(x4841,x4842)+E(f858(x4841,x4843,x4844),f858(x4842,x4843,x4844))
% 225.14/225.12 [485]~E(x4851,x4852)+E(f858(x4853,x4851,x4854),f858(x4853,x4852,x4854))
% 225.14/225.12 [486]~E(x4861,x4862)+E(f858(x4863,x4864,x4861),f858(x4863,x4864,x4862))
% 225.14/225.12 [487]~E(x4871,x4872)+E(f839(x4871,x4873,x4874,x4875,x4876,x4877,x4878,x4879),f839(x4872,x4873,x4874,x4875,x4876,x4877,x4878,x4879))
% 225.14/225.12 [488]~E(x4881,x4882)+E(f839(x4883,x4881,x4884,x4885,x4886,x4887,x4888,x4889),f839(x4883,x4882,x4884,x4885,x4886,x4887,x4888,x4889))
% 225.14/225.12 [489]~E(x4891,x4892)+E(f839(x4893,x4894,x4891,x4895,x4896,x4897,x4898,x4899),f839(x4893,x4894,x4892,x4895,x4896,x4897,x4898,x4899))
% 225.14/225.12 [490]~E(x4901,x4902)+E(f839(x4903,x4904,x4905,x4901,x4906,x4907,x4908,x4909),f839(x4903,x4904,x4905,x4902,x4906,x4907,x4908,x4909))
% 225.14/225.12 [491]~E(x4911,x4912)+E(f839(x4913,x4914,x4915,x4916,x4911,x4917,x4918,x4919),f839(x4913,x4914,x4915,x4916,x4912,x4917,x4918,x4919))
% 225.14/225.12 [492]~E(x4921,x4922)+E(f839(x4923,x4924,x4925,x4926,x4927,x4921,x4928,x4929),f839(x4923,x4924,x4925,x4926,x4927,x4922,x4928,x4929))
% 225.14/225.12 [493]~E(x4931,x4932)+E(f839(x4933,x4934,x4935,x4936,x4937,x4938,x4931,x4939),f839(x4933,x4934,x4935,x4936,x4937,x4938,x4932,x4939))
% 225.14/225.12 [494]~E(x4941,x4942)+E(f839(x4943,x4944,x4945,x4946,x4947,x4948,x4949,x4941),f839(x4943,x4944,x4945,x4946,x4947,x4948,x4949,x4942))
% 225.14/225.12 [495]~E(x4951,x4952)+E(f141(x4951),f141(x4952))
% 225.14/225.12 [496]~E(x4961,x4962)+E(f801(x4961),f801(x4962))
% 225.14/225.12 [497]~E(x4971,x4972)+E(f611(x4971,x4973,x4974,x4975,x4976,x4977,x4978,x4979),f611(x4972,x4973,x4974,x4975,x4976,x4977,x4978,x4979))
% 225.14/225.12 [498]~E(x4981,x4982)+E(f611(x4983,x4981,x4984,x4985,x4986,x4987,x4988,x4989),f611(x4983,x4982,x4984,x4985,x4986,x4987,x4988,x4989))
% 225.14/225.12 [499]~E(x4991,x4992)+E(f611(x4993,x4994,x4991,x4995,x4996,x4997,x4998,x4999),f611(x4993,x4994,x4992,x4995,x4996,x4997,x4998,x4999))
% 225.14/225.12 [500]~E(x5001,x5002)+E(f611(x5003,x5004,x5005,x5001,x5006,x5007,x5008,x5009),f611(x5003,x5004,x5005,x5002,x5006,x5007,x5008,x5009))
% 225.14/225.12 [501]~E(x5011,x5012)+E(f611(x5013,x5014,x5015,x5016,x5011,x5017,x5018,x5019),f611(x5013,x5014,x5015,x5016,x5012,x5017,x5018,x5019))
% 225.14/225.12 [502]~E(x5021,x5022)+E(f611(x5023,x5024,x5025,x5026,x5027,x5021,x5028,x5029),f611(x5023,x5024,x5025,x5026,x5027,x5022,x5028,x5029))
% 225.14/225.12 [503]~E(x5031,x5032)+E(f611(x5033,x5034,x5035,x5036,x5037,x5038,x5031,x5039),f611(x5033,x5034,x5035,x5036,x5037,x5038,x5032,x5039))
% 225.14/225.12 [504]~E(x5041,x5042)+E(f611(x5043,x5044,x5045,x5046,x5047,x5048,x5049,x5041),f611(x5043,x5044,x5045,x5046,x5047,x5048,x5049,x5042))
% 225.14/225.12 [505]~E(x5051,x5052)+E(f247(x5051,x5053),f247(x5052,x5053))
% 225.14/225.12 [506]~E(x5061,x5062)+E(f247(x5063,x5061),f247(x5063,x5062))
% 225.14/225.12 [507]~E(x5071,x5072)+E(f289(x5071,x5073,x5074,x5075),f289(x5072,x5073,x5074,x5075))
% 225.14/225.12 [508]~E(x5081,x5082)+E(f289(x5083,x5081,x5084,x5085),f289(x5083,x5082,x5084,x5085))
% 225.14/225.12 [509]~E(x5091,x5092)+E(f289(x5093,x5094,x5091,x5095),f289(x5093,x5094,x5092,x5095))
% 225.14/225.12 [510]~E(x5101,x5102)+E(f289(x5103,x5104,x5105,x5101),f289(x5103,x5104,x5105,x5102))
% 225.14/225.12 [511]~E(x5111,x5112)+E(f254(x5111,x5113,x5114,x5115),f254(x5112,x5113,x5114,x5115))
% 225.14/225.12 [512]~E(x5121,x5122)+E(f254(x5123,x5121,x5124,x5125),f254(x5123,x5122,x5124,x5125))
% 225.14/225.12 [513]~E(x5131,x5132)+E(f254(x5133,x5134,x5131,x5135),f254(x5133,x5134,x5132,x5135))
% 225.14/225.12 [514]~E(x5141,x5142)+E(f254(x5143,x5144,x5145,x5141),f254(x5143,x5144,x5145,x5142))
% 225.14/225.12 [515]~E(x5151,x5152)+E(f654(x5151,x5153,x5154,x5155),f654(x5152,x5153,x5154,x5155))
% 225.14/225.12 [516]~E(x5161,x5162)+E(f654(x5163,x5161,x5164,x5165),f654(x5163,x5162,x5164,x5165))
% 225.14/225.12 [517]~E(x5171,x5172)+E(f654(x5173,x5174,x5171,x5175),f654(x5173,x5174,x5172,x5175))
% 225.14/225.12 [518]~E(x5181,x5182)+E(f654(x5183,x5184,x5185,x5181),f654(x5183,x5184,x5185,x5182))
% 225.14/225.12 [519]~E(x5191,x5192)+E(f505(x5191,x5193,x5194,x5195,x5196),f505(x5192,x5193,x5194,x5195,x5196))
% 225.14/225.12 [520]~E(x5201,x5202)+E(f505(x5203,x5201,x5204,x5205,x5206),f505(x5203,x5202,x5204,x5205,x5206))
% 225.14/225.12 [521]~E(x5211,x5212)+E(f505(x5213,x5214,x5211,x5215,x5216),f505(x5213,x5214,x5212,x5215,x5216))
% 225.14/225.12 [522]~E(x5221,x5222)+E(f505(x5223,x5224,x5225,x5221,x5226),f505(x5223,x5224,x5225,x5222,x5226))
% 225.14/225.12 [523]~E(x5231,x5232)+E(f505(x5233,x5234,x5235,x5236,x5231),f505(x5233,x5234,x5235,x5236,x5232))
% 225.14/225.12 [524]~E(x5241,x5242)+E(f857(x5241,x5243,x5244),f857(x5242,x5243,x5244))
% 225.14/225.12 [525]~E(x5251,x5252)+E(f857(x5253,x5251,x5254),f857(x5253,x5252,x5254))
% 225.14/225.12 [526]~E(x5261,x5262)+E(f857(x5263,x5264,x5261),f857(x5263,x5264,x5262))
% 225.14/225.12 [527]~E(x5271,x5272)+E(f739(x5271,x5273,x5274),f739(x5272,x5273,x5274))
% 225.14/225.12 [528]~E(x5281,x5282)+E(f739(x5283,x5281,x5284),f739(x5283,x5282,x5284))
% 225.14/225.12 [529]~E(x5291,x5292)+E(f739(x5293,x5294,x5291),f739(x5293,x5294,x5292))
% 225.14/225.12 [530]~E(x5301,x5302)+E(f315(x5301,x5303),f315(x5302,x5303))
% 225.14/225.12 [531]~E(x5311,x5312)+E(f315(x5313,x5311),f315(x5313,x5312))
% 225.14/225.12 [532]~E(x5321,x5322)+E(f282(x5321),f282(x5322))
% 225.14/225.12 [533]~E(x5331,x5332)+E(f414(x5331,x5333),f414(x5332,x5333))
% 225.14/225.12 [534]~E(x5341,x5342)+E(f414(x5343,x5341),f414(x5343,x5342))
% 225.14/225.12 [535]~E(x5351,x5352)+E(f296(x5351,x5353,x5354,x5355,x5356),f296(x5352,x5353,x5354,x5355,x5356))
% 225.14/225.12 [536]~E(x5361,x5362)+E(f296(x5363,x5361,x5364,x5365,x5366),f296(x5363,x5362,x5364,x5365,x5366))
% 225.14/225.12 [537]~E(x5371,x5372)+E(f296(x5373,x5374,x5371,x5375,x5376),f296(x5373,x5374,x5372,x5375,x5376))
% 225.14/225.12 [538]~E(x5381,x5382)+E(f296(x5383,x5384,x5385,x5381,x5386),f296(x5383,x5384,x5385,x5382,x5386))
% 225.14/225.12 [539]~E(x5391,x5392)+E(f296(x5393,x5394,x5395,x5396,x5391),f296(x5393,x5394,x5395,x5396,x5392))
% 225.14/225.12 [540]~E(x5401,x5402)+E(f37(x5401,x5403),f37(x5402,x5403))
% 225.14/225.12 [541]~E(x5411,x5412)+E(f37(x5413,x5411),f37(x5413,x5412))
% 225.14/225.12 [542]~E(x5421,x5422)+E(f444(x5421,x5423,x5424),f444(x5422,x5423,x5424))
% 225.14/225.12 [543]~E(x5431,x5432)+E(f444(x5433,x5431,x5434),f444(x5433,x5432,x5434))
% 225.14/225.12 [544]~E(x5441,x5442)+E(f444(x5443,x5444,x5441),f444(x5443,x5444,x5442))
% 225.14/225.12 [545]~E(x5451,x5452)+E(f541(x5451,x5453,x5454),f541(x5452,x5453,x5454))
% 225.14/225.12 [546]~E(x5461,x5462)+E(f541(x5463,x5461,x5464),f541(x5463,x5462,x5464))
% 225.14/225.12 [547]~E(x5471,x5472)+E(f541(x5473,x5474,x5471),f541(x5473,x5474,x5472))
% 225.14/225.12 [548]~E(x5481,x5482)+E(f452(x5481,x5483,x5484,x5485),f452(x5482,x5483,x5484,x5485))
% 225.14/225.12 [549]~E(x5491,x5492)+E(f452(x5493,x5491,x5494,x5495),f452(x5493,x5492,x5494,x5495))
% 225.14/225.12 [550]~E(x5501,x5502)+E(f452(x5503,x5504,x5501,x5505),f452(x5503,x5504,x5502,x5505))
% 225.14/225.12 [551]~E(x5511,x5512)+E(f452(x5513,x5514,x5515,x5511),f452(x5513,x5514,x5515,x5512))
% 225.14/225.12 [552]~E(x5521,x5522)+E(f479(x5521,x5523,x5524,x5525,x5526,x5527,x5528),f479(x5522,x5523,x5524,x5525,x5526,x5527,x5528))
% 225.14/225.12 [553]~E(x5531,x5532)+E(f479(x5533,x5531,x5534,x5535,x5536,x5537,x5538),f479(x5533,x5532,x5534,x5535,x5536,x5537,x5538))
% 225.14/225.12 [554]~E(x5541,x5542)+E(f479(x5543,x5544,x5541,x5545,x5546,x5547,x5548),f479(x5543,x5544,x5542,x5545,x5546,x5547,x5548))
% 225.14/225.12 [555]~E(x5551,x5552)+E(f479(x5553,x5554,x5555,x5551,x5556,x5557,x5558),f479(x5553,x5554,x5555,x5552,x5556,x5557,x5558))
% 225.14/225.12 [556]~E(x5561,x5562)+E(f479(x5563,x5564,x5565,x5566,x5561,x5567,x5568),f479(x5563,x5564,x5565,x5566,x5562,x5567,x5568))
% 225.14/225.12 [557]~E(x5571,x5572)+E(f479(x5573,x5574,x5575,x5576,x5577,x5571,x5578),f479(x5573,x5574,x5575,x5576,x5577,x5572,x5578))
% 225.14/225.12 [558]~E(x5581,x5582)+E(f479(x5583,x5584,x5585,x5586,x5587,x5588,x5581),f479(x5583,x5584,x5585,x5586,x5587,x5588,x5582))
% 225.14/225.12 [559]~E(x5591,x5592)+E(f644(x5591,x5593,x5594),f644(x5592,x5593,x5594))
% 225.14/225.12 [560]~E(x5601,x5602)+E(f644(x5603,x5601,x5604),f644(x5603,x5602,x5604))
% 225.14/225.12 [561]~E(x5611,x5612)+E(f644(x5613,x5614,x5611),f644(x5613,x5614,x5612))
% 225.14/225.12 [562]~E(x5621,x5622)+E(f30(x5621,x5623),f30(x5622,x5623))
% 225.14/225.12 [563]~E(x5631,x5632)+E(f30(x5633,x5631),f30(x5633,x5632))
% 225.14/225.12 [564]~E(x5641,x5642)+E(f273(x5641,x5643,x5644),f273(x5642,x5643,x5644))
% 225.14/225.12 [565]~E(x5651,x5652)+E(f273(x5653,x5651,x5654),f273(x5653,x5652,x5654))
% 225.14/225.12 [566]~E(x5661,x5662)+E(f273(x5663,x5664,x5661),f273(x5663,x5664,x5662))
% 225.14/225.12 [567]~E(x5671,x5672)+E(f714(x5671,x5673,x5674),f714(x5672,x5673,x5674))
% 225.14/225.12 [568]~E(x5681,x5682)+E(f714(x5683,x5681,x5684),f714(x5683,x5682,x5684))
% 225.14/225.12 [569]~E(x5691,x5692)+E(f714(x5693,x5694,x5691),f714(x5693,x5694,x5692))
% 225.14/225.12 [570]~E(x5701,x5702)+E(f730(x5701,x5703),f730(x5702,x5703))
% 225.14/225.12 [571]~E(x5711,x5712)+E(f730(x5713,x5711),f730(x5713,x5712))
% 225.14/225.12 [572]~E(x5721,x5722)+E(f566(x5721,x5723,x5724,x5725,x5726,x5727,x5728),f566(x5722,x5723,x5724,x5725,x5726,x5727,x5728))
% 225.14/225.12 [573]~E(x5731,x5732)+E(f566(x5733,x5731,x5734,x5735,x5736,x5737,x5738),f566(x5733,x5732,x5734,x5735,x5736,x5737,x5738))
% 225.14/225.12 [574]~E(x5741,x5742)+E(f566(x5743,x5744,x5741,x5745,x5746,x5747,x5748),f566(x5743,x5744,x5742,x5745,x5746,x5747,x5748))
% 225.14/225.12 [575]~E(x5751,x5752)+E(f566(x5753,x5754,x5755,x5751,x5756,x5757,x5758),f566(x5753,x5754,x5755,x5752,x5756,x5757,x5758))
% 225.14/225.12 [576]~E(x5761,x5762)+E(f566(x5763,x5764,x5765,x5766,x5761,x5767,x5768),f566(x5763,x5764,x5765,x5766,x5762,x5767,x5768))
% 225.14/225.12 [577]~E(x5771,x5772)+E(f566(x5773,x5774,x5775,x5776,x5777,x5771,x5778),f566(x5773,x5774,x5775,x5776,x5777,x5772,x5778))
% 225.14/225.12 [578]~E(x5781,x5782)+E(f566(x5783,x5784,x5785,x5786,x5787,x5788,x5781),f566(x5783,x5784,x5785,x5786,x5787,x5788,x5782))
% 225.14/225.12 [579]~E(x5791,x5792)+E(f144(x5791,x5793),f144(x5792,x5793))
% 225.14/225.12 [580]~E(x5801,x5802)+E(f144(x5803,x5801),f144(x5803,x5802))
% 225.14/225.12 [581]~E(x5811,x5812)+E(f778(x5811,x5813,x5814,x5815),f778(x5812,x5813,x5814,x5815))
% 225.14/225.12 [582]~E(x5821,x5822)+E(f778(x5823,x5821,x5824,x5825),f778(x5823,x5822,x5824,x5825))
% 225.14/225.12 [583]~E(x5831,x5832)+E(f778(x5833,x5834,x5831,x5835),f778(x5833,x5834,x5832,x5835))
% 225.14/225.12 [584]~E(x5841,x5842)+E(f778(x5843,x5844,x5845,x5841),f778(x5843,x5844,x5845,x5842))
% 225.14/225.12 [585]~E(x5851,x5852)+E(f579(x5851,x5853,x5854,x5855),f579(x5852,x5853,x5854,x5855))
% 225.14/225.12 [586]~E(x5861,x5862)+E(f579(x5863,x5861,x5864,x5865),f579(x5863,x5862,x5864,x5865))
% 225.14/225.12 [587]~E(x5871,x5872)+E(f579(x5873,x5874,x5871,x5875),f579(x5873,x5874,x5872,x5875))
% 225.14/225.12 [588]~E(x5881,x5882)+E(f579(x5883,x5884,x5885,x5881),f579(x5883,x5884,x5885,x5882))
% 225.14/225.12 [589]~E(x5891,x5892)+E(f67(x5891,x5893,x5894),f67(x5892,x5893,x5894))
% 225.14/225.12 [590]~E(x5901,x5902)+E(f67(x5903,x5901,x5904),f67(x5903,x5902,x5904))
% 225.14/225.12 [591]~E(x5911,x5912)+E(f67(x5913,x5914,x5911),f67(x5913,x5914,x5912))
% 225.14/225.12 [592]~E(x5921,x5922)+E(f621(x5921,x5923,x5924),f621(x5922,x5923,x5924))
% 225.14/225.12 [593]~E(x5931,x5932)+E(f621(x5933,x5931,x5934),f621(x5933,x5932,x5934))
% 225.14/225.12 [594]~E(x5941,x5942)+E(f621(x5943,x5944,x5941),f621(x5943,x5944,x5942))
% 225.14/225.12 [595]~E(x5951,x5952)+E(f655(x5951,x5953,x5954,x5955,x5956),f655(x5952,x5953,x5954,x5955,x5956))
% 225.14/225.12 [596]~E(x5961,x5962)+E(f655(x5963,x5961,x5964,x5965,x5966),f655(x5963,x5962,x5964,x5965,x5966))
% 225.14/225.12 [597]~E(x5971,x5972)+E(f655(x5973,x5974,x5971,x5975,x5976),f655(x5973,x5974,x5972,x5975,x5976))
% 225.14/225.12 [598]~E(x5981,x5982)+E(f655(x5983,x5984,x5985,x5981,x5986),f655(x5983,x5984,x5985,x5982,x5986))
% 225.14/225.12 [599]~E(x5991,x5992)+E(f655(x5993,x5994,x5995,x5996,x5991),f655(x5993,x5994,x5995,x5996,x5992))
% 225.14/225.12 [600]~E(x6001,x6002)+E(f218(x6001,x6003),f218(x6002,x6003))
% 225.14/225.12 [601]~E(x6011,x6012)+E(f218(x6013,x6011),f218(x6013,x6012))
% 225.14/225.12 [602]~E(x6021,x6022)+E(f617(x6021,x6023,x6024),f617(x6022,x6023,x6024))
% 225.14/225.12 [603]~E(x6031,x6032)+E(f617(x6033,x6031,x6034),f617(x6033,x6032,x6034))
% 225.14/225.12 [604]~E(x6041,x6042)+E(f617(x6043,x6044,x6041),f617(x6043,x6044,x6042))
% 225.14/225.12 [605]~E(x6051,x6052)+E(f307(x6051),f307(x6052))
% 225.14/225.12 [606]~E(x6061,x6062)+E(f48(x6061,x6063),f48(x6062,x6063))
% 225.14/225.12 [607]~E(x6071,x6072)+E(f48(x6073,x6071),f48(x6073,x6072))
% 225.14/225.12 [608]~E(x6081,x6082)+E(f569(x6081,x6083,x6084),f569(x6082,x6083,x6084))
% 225.14/225.12 [609]~E(x6091,x6092)+E(f569(x6093,x6091,x6094),f569(x6093,x6092,x6094))
% 225.14/225.12 [610]~E(x6101,x6102)+E(f569(x6103,x6104,x6101),f569(x6103,x6104,x6102))
% 225.14/225.12 [611]~E(x6111,x6112)+E(f665(x6111,x6113,x6114),f665(x6112,x6113,x6114))
% 225.14/225.12 [612]~E(x6121,x6122)+E(f665(x6123,x6121,x6124),f665(x6123,x6122,x6124))
% 225.14/225.12 [613]~E(x6131,x6132)+E(f665(x6133,x6134,x6131),f665(x6133,x6134,x6132))
% 225.14/225.12 [614]~E(x6141,x6142)+E(f412(x6141,x6143,x6144,x6145),f412(x6142,x6143,x6144,x6145))
% 225.14/225.12 [615]~E(x6151,x6152)+E(f412(x6153,x6151,x6154,x6155),f412(x6153,x6152,x6154,x6155))
% 225.14/225.12 [616]~E(x6161,x6162)+E(f412(x6163,x6164,x6161,x6165),f412(x6163,x6164,x6162,x6165))
% 225.14/225.12 [617]~E(x6171,x6172)+E(f412(x6173,x6174,x6175,x6171),f412(x6173,x6174,x6175,x6172))
% 225.14/225.12 [618]~E(x6181,x6182)+E(f547(x6181,x6183,x6184,x6185,x6186,x6187),f547(x6182,x6183,x6184,x6185,x6186,x6187))
% 225.14/225.12 [619]~E(x6191,x6192)+E(f547(x6193,x6191,x6194,x6195,x6196,x6197),f547(x6193,x6192,x6194,x6195,x6196,x6197))
% 225.14/225.12 [620]~E(x6201,x6202)+E(f547(x6203,x6204,x6201,x6205,x6206,x6207),f547(x6203,x6204,x6202,x6205,x6206,x6207))
% 225.14/225.12 [621]~E(x6211,x6212)+E(f547(x6213,x6214,x6215,x6211,x6216,x6217),f547(x6213,x6214,x6215,x6212,x6216,x6217))
% 225.14/225.12 [622]~E(x6221,x6222)+E(f547(x6223,x6224,x6225,x6226,x6221,x6227),f547(x6223,x6224,x6225,x6226,x6222,x6227))
% 225.14/225.12 [623]~E(x6231,x6232)+E(f547(x6233,x6234,x6235,x6236,x6237,x6231),f547(x6233,x6234,x6235,x6236,x6237,x6232))
% 225.14/225.12 [624]~E(x6241,x6242)+E(f896(x6241),f896(x6242))
% 225.14/225.12 [625]~E(x6251,x6252)+E(f555(x6251,x6253),f555(x6252,x6253))
% 225.14/225.12 [626]~E(x6261,x6262)+E(f555(x6263,x6261),f555(x6263,x6262))
% 225.14/225.12 [627]~E(x6271,x6272)+E(f469(x6271,x6273,x6274),f469(x6272,x6273,x6274))
% 225.14/225.12 [628]~E(x6281,x6282)+E(f469(x6283,x6281,x6284),f469(x6283,x6282,x6284))
% 225.14/225.12 [629]~E(x6291,x6292)+E(f469(x6293,x6294,x6291),f469(x6293,x6294,x6292))
% 225.14/225.12 [630]~E(x6301,x6302)+E(f236(x6301,x6303),f236(x6302,x6303))
% 225.14/225.12 [631]~E(x6311,x6312)+E(f236(x6313,x6311),f236(x6313,x6312))
% 225.14/225.12 [632]~E(x6321,x6322)+E(f813(x6321,x6323,x6324,x6325,x6326,x6327),f813(x6322,x6323,x6324,x6325,x6326,x6327))
% 225.14/225.12 [633]~E(x6331,x6332)+E(f813(x6333,x6331,x6334,x6335,x6336,x6337),f813(x6333,x6332,x6334,x6335,x6336,x6337))
% 225.14/225.12 [634]~E(x6341,x6342)+E(f813(x6343,x6344,x6341,x6345,x6346,x6347),f813(x6343,x6344,x6342,x6345,x6346,x6347))
% 225.14/225.12 [635]~E(x6351,x6352)+E(f813(x6353,x6354,x6355,x6351,x6356,x6357),f813(x6353,x6354,x6355,x6352,x6356,x6357))
% 225.14/225.12 [636]~E(x6361,x6362)+E(f813(x6363,x6364,x6365,x6366,x6361,x6367),f813(x6363,x6364,x6365,x6366,x6362,x6367))
% 225.14/225.12 [637]~E(x6371,x6372)+E(f813(x6373,x6374,x6375,x6376,x6377,x6371),f813(x6373,x6374,x6375,x6376,x6377,x6372))
% 225.14/225.12 [638]~E(x6381,x6382)+E(f139(x6381,x6383),f139(x6382,x6383))
% 225.14/225.12 [639]~E(x6391,x6392)+E(f139(x6393,x6391),f139(x6393,x6392))
% 225.14/225.12 [640]~E(x6401,x6402)+E(f849(x6401,x6403,x6404,x6405,x6406,x6407,x6408,x6409),f849(x6402,x6403,x6404,x6405,x6406,x6407,x6408,x6409))
% 225.14/225.12 [641]~E(x6411,x6412)+E(f849(x6413,x6411,x6414,x6415,x6416,x6417,x6418,x6419),f849(x6413,x6412,x6414,x6415,x6416,x6417,x6418,x6419))
% 225.14/225.12 [642]~E(x6421,x6422)+E(f849(x6423,x6424,x6421,x6425,x6426,x6427,x6428,x6429),f849(x6423,x6424,x6422,x6425,x6426,x6427,x6428,x6429))
% 225.14/225.12 [643]~E(x6431,x6432)+E(f849(x6433,x6434,x6435,x6431,x6436,x6437,x6438,x6439),f849(x6433,x6434,x6435,x6432,x6436,x6437,x6438,x6439))
% 225.14/225.12 [644]~E(x6441,x6442)+E(f849(x6443,x6444,x6445,x6446,x6441,x6447,x6448,x6449),f849(x6443,x6444,x6445,x6446,x6442,x6447,x6448,x6449))
% 225.14/225.12 [645]~E(x6451,x6452)+E(f849(x6453,x6454,x6455,x6456,x6457,x6451,x6458,x6459),f849(x6453,x6454,x6455,x6456,x6457,x6452,x6458,x6459))
% 225.14/225.12 [646]~E(x6461,x6462)+E(f849(x6463,x6464,x6465,x6466,x6467,x6468,x6461,x6469),f849(x6463,x6464,x6465,x6466,x6467,x6468,x6462,x6469))
% 225.14/225.12 [647]~E(x6471,x6472)+E(f849(x6473,x6474,x6475,x6476,x6477,x6478,x6479,x6471),f849(x6473,x6474,x6475,x6476,x6477,x6478,x6479,x6472))
% 225.14/225.12 [648]~E(x6481,x6482)+E(f562(x6481,x6483,x6484,x6485,x6486,x6487),f562(x6482,x6483,x6484,x6485,x6486,x6487))
% 225.14/225.12 [649]~E(x6491,x6492)+E(f562(x6493,x6491,x6494,x6495,x6496,x6497),f562(x6493,x6492,x6494,x6495,x6496,x6497))
% 225.14/225.12 [650]~E(x6501,x6502)+E(f562(x6503,x6504,x6501,x6505,x6506,x6507),f562(x6503,x6504,x6502,x6505,x6506,x6507))
% 225.14/225.12 [651]~E(x6511,x6512)+E(f562(x6513,x6514,x6515,x6511,x6516,x6517),f562(x6513,x6514,x6515,x6512,x6516,x6517))
% 225.14/225.12 [652]~E(x6521,x6522)+E(f562(x6523,x6524,x6525,x6526,x6521,x6527),f562(x6523,x6524,x6525,x6526,x6522,x6527))
% 225.14/225.12 [653]~E(x6531,x6532)+E(f562(x6533,x6534,x6535,x6536,x6537,x6531),f562(x6533,x6534,x6535,x6536,x6537,x6532))
% 225.14/225.12 [654]~E(x6541,x6542)+E(f516(x6541,x6543,x6544,x6545,x6546,x6547,x6548),f516(x6542,x6543,x6544,x6545,x6546,x6547,x6548))
% 225.14/225.12 [655]~E(x6551,x6552)+E(f516(x6553,x6551,x6554,x6555,x6556,x6557,x6558),f516(x6553,x6552,x6554,x6555,x6556,x6557,x6558))
% 225.14/225.12 [656]~E(x6561,x6562)+E(f516(x6563,x6564,x6561,x6565,x6566,x6567,x6568),f516(x6563,x6564,x6562,x6565,x6566,x6567,x6568))
% 225.14/225.12 [657]~E(x6571,x6572)+E(f516(x6573,x6574,x6575,x6571,x6576,x6577,x6578),f516(x6573,x6574,x6575,x6572,x6576,x6577,x6578))
% 225.14/225.12 [658]~E(x6581,x6582)+E(f516(x6583,x6584,x6585,x6586,x6581,x6587,x6588),f516(x6583,x6584,x6585,x6586,x6582,x6587,x6588))
% 225.14/225.12 [659]~E(x6591,x6592)+E(f516(x6593,x6594,x6595,x6596,x6597,x6591,x6598),f516(x6593,x6594,x6595,x6596,x6597,x6592,x6598))
% 225.14/225.12 [660]~E(x6601,x6602)+E(f516(x6603,x6604,x6605,x6606,x6607,x6608,x6601),f516(x6603,x6604,x6605,x6606,x6607,x6608,x6602))
% 225.14/225.12 [661]~E(x6611,x6612)+E(f638(x6611,x6613,x6614,x6615,x6616),f638(x6612,x6613,x6614,x6615,x6616))
% 225.14/225.12 [662]~E(x6621,x6622)+E(f638(x6623,x6621,x6624,x6625,x6626),f638(x6623,x6622,x6624,x6625,x6626))
% 225.14/225.12 [663]~E(x6631,x6632)+E(f638(x6633,x6634,x6631,x6635,x6636),f638(x6633,x6634,x6632,x6635,x6636))
% 225.14/225.12 [664]~E(x6641,x6642)+E(f638(x6643,x6644,x6645,x6641,x6646),f638(x6643,x6644,x6645,x6642,x6646))
% 225.14/225.12 [665]~E(x6651,x6652)+E(f638(x6653,x6654,x6655,x6656,x6651),f638(x6653,x6654,x6655,x6656,x6652))
% 225.14/225.12 [666]~E(x6661,x6662)+E(f707(x6661,x6663),f707(x6662,x6663))
% 225.14/225.12 [667]~E(x6671,x6672)+E(f707(x6673,x6671),f707(x6673,x6672))
% 225.14/225.12 [668]~E(x6681,x6682)+E(f15(x6681,x6683,x6684),f15(x6682,x6683,x6684))
% 225.14/225.12 [669]~E(x6691,x6692)+E(f15(x6693,x6691,x6694),f15(x6693,x6692,x6694))
% 225.14/225.12 [670]~E(x6701,x6702)+E(f15(x6703,x6704,x6701),f15(x6703,x6704,x6702))
% 225.14/225.12 [671]~E(x6711,x6712)+E(f424(x6711,x6713,x6714,x6715),f424(x6712,x6713,x6714,x6715))
% 225.14/225.12 [672]~E(x6721,x6722)+E(f424(x6723,x6721,x6724,x6725),f424(x6723,x6722,x6724,x6725))
% 225.14/225.12 [673]~E(x6731,x6732)+E(f424(x6733,x6734,x6731,x6735),f424(x6733,x6734,x6732,x6735))
% 225.14/225.12 [674]~E(x6741,x6742)+E(f424(x6743,x6744,x6745,x6741),f424(x6743,x6744,x6745,x6742))
% 225.14/225.12 [675]~E(x6751,x6752)+E(f287(x6751,x6753),f287(x6752,x6753))
% 225.14/225.12 [676]~E(x6761,x6762)+E(f287(x6763,x6761),f287(x6763,x6762))
% 225.14/225.12 [677]~E(x6771,x6772)+E(f792(x6771,x6773),f792(x6772,x6773))
% 225.14/225.12 [678]~E(x6781,x6782)+E(f792(x6783,x6781),f792(x6783,x6782))
% 225.14/225.12 [679]~E(x6791,x6792)+E(f546(x6791,x6793,x6794,x6795),f546(x6792,x6793,x6794,x6795))
% 225.14/225.12 [680]~E(x6801,x6802)+E(f546(x6803,x6801,x6804,x6805),f546(x6803,x6802,x6804,x6805))
% 225.14/225.12 [681]~E(x6811,x6812)+E(f546(x6813,x6814,x6811,x6815),f546(x6813,x6814,x6812,x6815))
% 225.14/225.12 [682]~E(x6821,x6822)+E(f546(x6823,x6824,x6825,x6821),f546(x6823,x6824,x6825,x6822))
% 225.14/225.12 [683]~E(x6831,x6832)+E(f349(x6831,x6833,x6834),f349(x6832,x6833,x6834))
% 225.14/225.12 [684]~E(x6841,x6842)+E(f349(x6843,x6841,x6844),f349(x6843,x6842,x6844))
% 225.14/225.12 [685]~E(x6851,x6852)+E(f349(x6853,x6854,x6851),f349(x6853,x6854,x6852))
% 225.14/225.12 [686]~E(x6861,x6862)+E(f55(x6861),f55(x6862))
% 225.14/225.12 [687]~E(x6871,x6872)+E(f786(x6871,x6873,x6874,x6875,x6876,x6877,x6878),f786(x6872,x6873,x6874,x6875,x6876,x6877,x6878))
% 225.14/225.12 [688]~E(x6881,x6882)+E(f786(x6883,x6881,x6884,x6885,x6886,x6887,x6888),f786(x6883,x6882,x6884,x6885,x6886,x6887,x6888))
% 225.14/225.12 [689]~E(x6891,x6892)+E(f786(x6893,x6894,x6891,x6895,x6896,x6897,x6898),f786(x6893,x6894,x6892,x6895,x6896,x6897,x6898))
% 225.14/225.12 [690]~E(x6901,x6902)+E(f786(x6903,x6904,x6905,x6901,x6906,x6907,x6908),f786(x6903,x6904,x6905,x6902,x6906,x6907,x6908))
% 225.14/225.12 [691]~E(x6911,x6912)+E(f786(x6913,x6914,x6915,x6916,x6911,x6917,x6918),f786(x6913,x6914,x6915,x6916,x6912,x6917,x6918))
% 225.14/225.12 [692]~E(x6921,x6922)+E(f786(x6923,x6924,x6925,x6926,x6927,x6921,x6928),f786(x6923,x6924,x6925,x6926,x6927,x6922,x6928))
% 225.14/225.12 [693]~E(x6931,x6932)+E(f786(x6933,x6934,x6935,x6936,x6937,x6938,x6931),f786(x6933,x6934,x6935,x6936,x6937,x6938,x6932))
% 225.14/225.12 [694]~E(x6941,x6942)+E(f65(x6941,x6943,x6944,x6945,x6946),f65(x6942,x6943,x6944,x6945,x6946))
% 225.14/225.12 [695]~E(x6951,x6952)+E(f65(x6953,x6951,x6954,x6955,x6956),f65(x6953,x6952,x6954,x6955,x6956))
% 225.14/225.12 [696]~E(x6961,x6962)+E(f65(x6963,x6964,x6961,x6965,x6966),f65(x6963,x6964,x6962,x6965,x6966))
% 225.14/225.12 [697]~E(x6971,x6972)+E(f65(x6973,x6974,x6975,x6971,x6976),f65(x6973,x6974,x6975,x6972,x6976))
% 225.14/225.12 [698]~E(x6981,x6982)+E(f65(x6983,x6984,x6985,x6986,x6981),f65(x6983,x6984,x6985,x6986,x6982))
% 225.14/225.12 [699]~E(x6991,x6992)+E(f713(x6991,x6993,x6994),f713(x6992,x6993,x6994))
% 225.14/225.12 [700]~E(x7001,x7002)+E(f713(x7003,x7001,x7004),f713(x7003,x7002,x7004))
% 225.14/225.12 [701]~E(x7011,x7012)+E(f713(x7013,x7014,x7011),f713(x7013,x7014,x7012))
% 225.14/225.12 [702]~E(x7021,x7022)+E(f354(x7021,x7023,x7024,x7025),f354(x7022,x7023,x7024,x7025))
% 225.14/225.12 [703]~E(x7031,x7032)+E(f354(x7033,x7031,x7034,x7035),f354(x7033,x7032,x7034,x7035))
% 225.14/225.12 [704]~E(x7041,x7042)+E(f354(x7043,x7044,x7041,x7045),f354(x7043,x7044,x7042,x7045))
% 225.14/225.12 [705]~E(x7051,x7052)+E(f354(x7053,x7054,x7055,x7051),f354(x7053,x7054,x7055,x7052))
% 225.14/225.12 [706]~E(x7061,x7062)+E(f353(x7061,x7063,x7064,x7065),f353(x7062,x7063,x7064,x7065))
% 225.14/225.12 [707]~E(x7071,x7072)+E(f353(x7073,x7071,x7074,x7075),f353(x7073,x7072,x7074,x7075))
% 225.14/225.12 [708]~E(x7081,x7082)+E(f353(x7083,x7084,x7081,x7085),f353(x7083,x7084,x7082,x7085))
% 225.14/225.12 [709]~E(x7091,x7092)+E(f353(x7093,x7094,x7095,x7091),f353(x7093,x7094,x7095,x7092))
% 225.14/225.12 [710]~E(x7101,x7102)+E(f909(x7101,x7103,x7104),f909(x7102,x7103,x7104))
% 225.14/225.12 [711]~E(x7111,x7112)+E(f909(x7113,x7111,x7114),f909(x7113,x7112,x7114))
% 225.14/225.12 [712]~E(x7121,x7122)+E(f909(x7123,x7124,x7121),f909(x7123,x7124,x7122))
% 225.14/225.12 [713]~E(x7131,x7132)+E(f155(x7131,x7133,x7134),f155(x7132,x7133,x7134))
% 225.14/225.12 [714]~E(x7141,x7142)+E(f155(x7143,x7141,x7144),f155(x7143,x7142,x7144))
% 225.14/225.12 [715]~E(x7151,x7152)+E(f155(x7153,x7154,x7151),f155(x7153,x7154,x7152))
% 225.14/225.12 [716]~E(x7161,x7162)+E(f653(x7161,x7163,x7164,x7165,x7166),f653(x7162,x7163,x7164,x7165,x7166))
% 225.14/225.12 [717]~E(x7171,x7172)+E(f653(x7173,x7171,x7174,x7175,x7176),f653(x7173,x7172,x7174,x7175,x7176))
% 225.14/225.12 [718]~E(x7181,x7182)+E(f653(x7183,x7184,x7181,x7185,x7186),f653(x7183,x7184,x7182,x7185,x7186))
% 225.14/225.12 [719]~E(x7191,x7192)+E(f653(x7193,x7194,x7195,x7191,x7196),f653(x7193,x7194,x7195,x7192,x7196))
% 225.14/225.12 [720]~E(x7201,x7202)+E(f653(x7203,x7204,x7205,x7206,x7201),f653(x7203,x7204,x7205,x7206,x7202))
% 225.14/225.12 [721]~E(x7211,x7212)+E(f382(x7211,x7213,x7214),f382(x7212,x7213,x7214))
% 225.14/225.12 [722]~E(x7221,x7222)+E(f382(x7223,x7221,x7224),f382(x7223,x7222,x7224))
% 225.14/225.12 [723]~E(x7231,x7232)+E(f382(x7233,x7234,x7231),f382(x7233,x7234,x7232))
% 225.14/225.12 [724]~E(x7241,x7242)+E(f528(x7241,x7243,x7244,x7245,x7246,x7247,x7248),f528(x7242,x7243,x7244,x7245,x7246,x7247,x7248))
% 225.14/225.12 [725]~E(x7251,x7252)+E(f528(x7253,x7251,x7254,x7255,x7256,x7257,x7258),f528(x7253,x7252,x7254,x7255,x7256,x7257,x7258))
% 225.14/225.12 [726]~E(x7261,x7262)+E(f528(x7263,x7264,x7261,x7265,x7266,x7267,x7268),f528(x7263,x7264,x7262,x7265,x7266,x7267,x7268))
% 225.14/225.12 [727]~E(x7271,x7272)+E(f528(x7273,x7274,x7275,x7271,x7276,x7277,x7278),f528(x7273,x7274,x7275,x7272,x7276,x7277,x7278))
% 225.14/225.12 [728]~E(x7281,x7282)+E(f528(x7283,x7284,x7285,x7286,x7281,x7287,x7288),f528(x7283,x7284,x7285,x7286,x7282,x7287,x7288))
% 225.14/225.12 [729]~E(x7291,x7292)+E(f528(x7293,x7294,x7295,x7296,x7297,x7291,x7298),f528(x7293,x7294,x7295,x7296,x7297,x7292,x7298))
% 225.14/225.12 [730]~E(x7301,x7302)+E(f528(x7303,x7304,x7305,x7306,x7307,x7308,x7301),f528(x7303,x7304,x7305,x7306,x7307,x7308,x7302))
% 225.14/225.12 [731]~E(x7311,x7312)+E(f667(x7311,x7313),f667(x7312,x7313))
% 225.14/225.12 [732]~E(x7321,x7322)+E(f667(x7323,x7321),f667(x7323,x7322))
% 225.14/225.12 [733]~E(x7331,x7332)+E(f390(x7331,x7333,x7334),f390(x7332,x7333,x7334))
% 225.14/225.12 [734]~E(x7341,x7342)+E(f390(x7343,x7341,x7344),f390(x7343,x7342,x7344))
% 225.14/225.12 [735]~E(x7351,x7352)+E(f390(x7353,x7354,x7351),f390(x7353,x7354,x7352))
% 225.14/225.12 [736]~E(x7361,x7362)+E(f130(x7361,x7363,x7364,x7365),f130(x7362,x7363,x7364,x7365))
% 225.14/225.12 [737]~E(x7371,x7372)+E(f130(x7373,x7371,x7374,x7375),f130(x7373,x7372,x7374,x7375))
% 225.14/225.12 [738]~E(x7381,x7382)+E(f130(x7383,x7384,x7381,x7385),f130(x7383,x7384,x7382,x7385))
% 225.14/225.12 [739]~E(x7391,x7392)+E(f130(x7393,x7394,x7395,x7391),f130(x7393,x7394,x7395,x7392))
% 225.14/225.12 [740]~E(x7401,x7402)+E(f615(x7401,x7403,x7404),f615(x7402,x7403,x7404))
% 225.14/225.12 [741]~E(x7411,x7412)+E(f615(x7413,x7411,x7414),f615(x7413,x7412,x7414))
% 225.14/225.12 [742]~E(x7421,x7422)+E(f615(x7423,x7424,x7421),f615(x7423,x7424,x7422))
% 225.14/225.12 [743]~E(x7431,x7432)+E(f642(x7431,x7433),f642(x7432,x7433))
% 225.14/225.12 [744]~E(x7441,x7442)+E(f642(x7443,x7441),f642(x7443,x7442))
% 225.14/225.12 [745]~E(x7451,x7452)+E(f245(x7451,x7453,x7454,x7455,x7456,x7457),f245(x7452,x7453,x7454,x7455,x7456,x7457))
% 225.14/225.12 [746]~E(x7461,x7462)+E(f245(x7463,x7461,x7464,x7465,x7466,x7467),f245(x7463,x7462,x7464,x7465,x7466,x7467))
% 225.14/225.12 [747]~E(x7471,x7472)+E(f245(x7473,x7474,x7471,x7475,x7476,x7477),f245(x7473,x7474,x7472,x7475,x7476,x7477))
% 225.14/225.12 [748]~E(x7481,x7482)+E(f245(x7483,x7484,x7485,x7481,x7486,x7487),f245(x7483,x7484,x7485,x7482,x7486,x7487))
% 225.14/225.12 [749]~E(x7491,x7492)+E(f245(x7493,x7494,x7495,x7496,x7491,x7497),f245(x7493,x7494,x7495,x7496,x7492,x7497))
% 225.14/225.12 [750]~E(x7501,x7502)+E(f245(x7503,x7504,x7505,x7506,x7507,x7501),f245(x7503,x7504,x7505,x7506,x7507,x7502))
% 225.14/225.12 [751]~E(x7511,x7512)+E(f753(x7511,x7513,x7514,x7515),f753(x7512,x7513,x7514,x7515))
% 225.14/225.12 [752]~E(x7521,x7522)+E(f753(x7523,x7521,x7524,x7525),f753(x7523,x7522,x7524,x7525))
% 225.14/225.12 [753]~E(x7531,x7532)+E(f753(x7533,x7534,x7531,x7535),f753(x7533,x7534,x7532,x7535))
% 225.14/225.12 [754]~E(x7541,x7542)+E(f753(x7543,x7544,x7545,x7541),f753(x7543,x7544,x7545,x7542))
% 225.14/225.12 [755]~E(x7551,x7552)+E(f131(x7551,x7553,x7554,x7555),f131(x7552,x7553,x7554,x7555))
% 225.14/225.12 [756]~E(x7561,x7562)+E(f131(x7563,x7561,x7564,x7565),f131(x7563,x7562,x7564,x7565))
% 225.14/225.12 [757]~E(x7571,x7572)+E(f131(x7573,x7574,x7571,x7575),f131(x7573,x7574,x7572,x7575))
% 225.14/225.12 [758]~E(x7581,x7582)+E(f131(x7583,x7584,x7585,x7581),f131(x7583,x7584,x7585,x7582))
% 225.14/225.12 [759]~E(x7591,x7592)+E(f661(x7591,x7593,x7594,x7595),f661(x7592,x7593,x7594,x7595))
% 225.14/225.12 [760]~E(x7601,x7602)+E(f661(x7603,x7601,x7604,x7605),f661(x7603,x7602,x7604,x7605))
% 225.14/225.12 [761]~E(x7611,x7612)+E(f661(x7613,x7614,x7611,x7615),f661(x7613,x7614,x7612,x7615))
% 225.14/225.12 [762]~E(x7621,x7622)+E(f661(x7623,x7624,x7625,x7621),f661(x7623,x7624,x7625,x7622))
% 225.14/225.12 [763]~E(x7631,x7632)+E(f96(x7631),f96(x7632))
% 225.14/225.12 [764]~E(x7641,x7642)+E(f612(x7641,x7643,x7644,x7645,x7646,x7647,x7648,x7649),f612(x7642,x7643,x7644,x7645,x7646,x7647,x7648,x7649))
% 225.14/225.12 [765]~E(x7651,x7652)+E(f612(x7653,x7651,x7654,x7655,x7656,x7657,x7658,x7659),f612(x7653,x7652,x7654,x7655,x7656,x7657,x7658,x7659))
% 225.14/225.12 [766]~E(x7661,x7662)+E(f612(x7663,x7664,x7661,x7665,x7666,x7667,x7668,x7669),f612(x7663,x7664,x7662,x7665,x7666,x7667,x7668,x7669))
% 225.14/225.12 [767]~E(x7671,x7672)+E(f612(x7673,x7674,x7675,x7671,x7676,x7677,x7678,x7679),f612(x7673,x7674,x7675,x7672,x7676,x7677,x7678,x7679))
% 225.14/225.12 [768]~E(x7681,x7682)+E(f612(x7683,x7684,x7685,x7686,x7681,x7687,x7688,x7689),f612(x7683,x7684,x7685,x7686,x7682,x7687,x7688,x7689))
% 225.14/225.12 [769]~E(x7691,x7692)+E(f612(x7693,x7694,x7695,x7696,x7697,x7691,x7698,x7699),f612(x7693,x7694,x7695,x7696,x7697,x7692,x7698,x7699))
% 225.14/225.12 [770]~E(x7701,x7702)+E(f612(x7703,x7704,x7705,x7706,x7707,x7708,x7701,x7709),f612(x7703,x7704,x7705,x7706,x7707,x7708,x7702,x7709))
% 225.14/225.12 [771]~E(x7711,x7712)+E(f612(x7713,x7714,x7715,x7716,x7717,x7718,x7719,x7711),f612(x7713,x7714,x7715,x7716,x7717,x7718,x7719,x7712))
% 225.14/225.12 [772]~E(x7721,x7722)+E(f636(x7721,x7723,x7724,x7725),f636(x7722,x7723,x7724,x7725))
% 225.14/225.12 [773]~E(x7731,x7732)+E(f636(x7733,x7731,x7734,x7735),f636(x7733,x7732,x7734,x7735))
% 225.14/225.12 [774]~E(x7741,x7742)+E(f636(x7743,x7744,x7741,x7745),f636(x7743,x7744,x7742,x7745))
% 225.14/225.12 [775]~E(x7751,x7752)+E(f636(x7753,x7754,x7755,x7751),f636(x7753,x7754,x7755,x7752))
% 225.14/225.12 [776]~E(x7761,x7762)+E(f385(x7761,x7763,x7764),f385(x7762,x7763,x7764))
% 225.14/225.12 [777]~E(x7771,x7772)+E(f385(x7773,x7771,x7774),f385(x7773,x7772,x7774))
% 225.14/225.12 [778]~E(x7781,x7782)+E(f385(x7783,x7784,x7781),f385(x7783,x7784,x7782))
% 225.14/225.12 [779]~E(x7791,x7792)+E(f295(x7791,x7793,x7794),f295(x7792,x7793,x7794))
% 225.14/225.12 [780]~E(x7801,x7802)+E(f295(x7803,x7801,x7804),f295(x7803,x7802,x7804))
% 225.14/225.12 [781]~E(x7811,x7812)+E(f295(x7813,x7814,x7811),f295(x7813,x7814,x7812))
% 225.14/225.12 [782]~E(x7821,x7822)+E(f842(x7821,x7823,x7824,x7825,x7826,x7827),f842(x7822,x7823,x7824,x7825,x7826,x7827))
% 225.14/225.12 [783]~E(x7831,x7832)+E(f842(x7833,x7831,x7834,x7835,x7836,x7837),f842(x7833,x7832,x7834,x7835,x7836,x7837))
% 225.14/225.12 [784]~E(x7841,x7842)+E(f842(x7843,x7844,x7841,x7845,x7846,x7847),f842(x7843,x7844,x7842,x7845,x7846,x7847))
% 225.14/225.12 [785]~E(x7851,x7852)+E(f842(x7853,x7854,x7855,x7851,x7856,x7857),f842(x7853,x7854,x7855,x7852,x7856,x7857))
% 225.14/225.12 [786]~E(x7861,x7862)+E(f842(x7863,x7864,x7865,x7866,x7861,x7867),f842(x7863,x7864,x7865,x7866,x7862,x7867))
% 225.14/225.12 [787]~E(x7871,x7872)+E(f842(x7873,x7874,x7875,x7876,x7877,x7871),f842(x7873,x7874,x7875,x7876,x7877,x7872))
% 225.14/225.12 [788]~E(x7881,x7882)+E(f513(x7881,x7883,x7884,x7885,x7886,x7887,x7888),f513(x7882,x7883,x7884,x7885,x7886,x7887,x7888))
% 225.14/225.12 [789]~E(x7891,x7892)+E(f513(x7893,x7891,x7894,x7895,x7896,x7897,x7898),f513(x7893,x7892,x7894,x7895,x7896,x7897,x7898))
% 225.14/225.12 [790]~E(x7901,x7902)+E(f513(x7903,x7904,x7901,x7905,x7906,x7907,x7908),f513(x7903,x7904,x7902,x7905,x7906,x7907,x7908))
% 225.14/225.12 [791]~E(x7911,x7912)+E(f513(x7913,x7914,x7915,x7911,x7916,x7917,x7918),f513(x7913,x7914,x7915,x7912,x7916,x7917,x7918))
% 225.14/225.12 [792]~E(x7921,x7922)+E(f513(x7923,x7924,x7925,x7926,x7921,x7927,x7928),f513(x7923,x7924,x7925,x7926,x7922,x7927,x7928))
% 225.14/225.12 [793]~E(x7931,x7932)+E(f513(x7933,x7934,x7935,x7936,x7937,x7931,x7938),f513(x7933,x7934,x7935,x7936,x7937,x7932,x7938))
% 225.14/225.12 [794]~E(x7941,x7942)+E(f513(x7943,x7944,x7945,x7946,x7947,x7948,x7941),f513(x7943,x7944,x7945,x7946,x7947,x7948,x7942))
% 225.14/225.12 [795]~E(x7951,x7952)+E(f132(x7951,x7953),f132(x7952,x7953))
% 225.14/225.12 [796]~E(x7961,x7962)+E(f132(x7963,x7961),f132(x7963,x7962))
% 225.14/225.12 [797]~E(x7971,x7972)+E(f890(x7971,x7973,x7974,x7975),f890(x7972,x7973,x7974,x7975))
% 225.14/225.12 [798]~E(x7981,x7982)+E(f890(x7983,x7981,x7984,x7985),f890(x7983,x7982,x7984,x7985))
% 225.14/225.12 [799]~E(x7991,x7992)+E(f890(x7993,x7994,x7991,x7995),f890(x7993,x7994,x7992,x7995))
% 225.14/225.12 [800]~E(x8001,x8002)+E(f890(x8003,x8004,x8005,x8001),f890(x8003,x8004,x8005,x8002))
% 225.14/225.12 [801]~E(x8011,x8012)+E(f789(x8011,x8013),f789(x8012,x8013))
% 225.14/225.12 [802]~E(x8021,x8022)+E(f789(x8023,x8021),f789(x8023,x8022))
% 225.14/225.12 [803]~E(x8031,x8032)+E(f856(x8031,x8033,x8034),f856(x8032,x8033,x8034))
% 225.14/225.12 [804]~E(x8041,x8042)+E(f856(x8043,x8041,x8044),f856(x8043,x8042,x8044))
% 225.14/225.12 [805]~E(x8051,x8052)+E(f856(x8053,x8054,x8051),f856(x8053,x8054,x8052))
% 225.14/225.12 [806]~E(x8061,x8062)+E(f314(x8061,x8063),f314(x8062,x8063))
% 225.14/225.12 [807]~E(x8071,x8072)+E(f314(x8073,x8071),f314(x8073,x8072))
% 225.14/225.12 [808]~E(x8081,x8082)+E(f628(x8081,x8083,x8084,x8085,x8086),f628(x8082,x8083,x8084,x8085,x8086))
% 225.14/225.12 [809]~E(x8091,x8092)+E(f628(x8093,x8091,x8094,x8095,x8096),f628(x8093,x8092,x8094,x8095,x8096))
% 225.14/225.12 [810]~E(x8101,x8102)+E(f628(x8103,x8104,x8101,x8105,x8106),f628(x8103,x8104,x8102,x8105,x8106))
% 225.14/225.12 [811]~E(x8111,x8112)+E(f628(x8113,x8114,x8115,x8111,x8116),f628(x8113,x8114,x8115,x8112,x8116))
% 225.14/225.12 [812]~E(x8121,x8122)+E(f628(x8123,x8124,x8125,x8126,x8121),f628(x8123,x8124,x8125,x8126,x8122))
% 225.14/225.12 [813]~E(x8131,x8132)+E(f440(x8131,x8133,x8134,x8135),f440(x8132,x8133,x8134,x8135))
% 225.14/225.12 [814]~E(x8141,x8142)+E(f440(x8143,x8141,x8144,x8145),f440(x8143,x8142,x8144,x8145))
% 225.14/225.12 [815]~E(x8151,x8152)+E(f440(x8153,x8154,x8151,x8155),f440(x8153,x8154,x8152,x8155))
% 225.14/225.12 [816]~E(x8161,x8162)+E(f440(x8163,x8164,x8165,x8161),f440(x8163,x8164,x8165,x8162))
% 225.14/225.12 [817]~E(x8171,x8172)+E(f339(x8171,x8173),f339(x8172,x8173))
% 225.14/225.12 [818]~E(x8181,x8182)+E(f339(x8183,x8181),f339(x8183,x8182))
% 225.14/225.12 [819]~E(x8191,x8192)+E(f364(x8191,x8193,x8194),f364(x8192,x8193,x8194))
% 225.14/225.12 [820]~E(x8201,x8202)+E(f364(x8203,x8201,x8204),f364(x8203,x8202,x8204))
% 225.14/225.12 [821]~E(x8211,x8212)+E(f364(x8213,x8214,x8211),f364(x8213,x8214,x8212))
% 225.14/225.12 [822]~E(x8221,x8222)+E(f368(x8221,x8223),f368(x8222,x8223))
% 225.14/225.12 [823]~E(x8231,x8232)+E(f368(x8233,x8231),f368(x8233,x8232))
% 225.14/225.12 [824]~E(x8241,x8242)+E(f366(x8241,x8243),f366(x8242,x8243))
% 225.14/225.12 [825]~E(x8251,x8252)+E(f366(x8253,x8251),f366(x8253,x8252))
% 225.14/225.12 [826]~E(x8261,x8262)+E(f431(x8261,x8263),f431(x8262,x8263))
% 225.14/225.12 [827]~E(x8271,x8272)+E(f431(x8273,x8271),f431(x8273,x8272))
% 225.14/225.12 [828]~E(x8281,x8282)+E(f225(x8281,x8283,x8284,x8285,x8286),f225(x8282,x8283,x8284,x8285,x8286))
% 225.14/225.12 [829]~E(x8291,x8292)+E(f225(x8293,x8291,x8294,x8295,x8296),f225(x8293,x8292,x8294,x8295,x8296))
% 225.14/225.12 [830]~E(x8301,x8302)+E(f225(x8303,x8304,x8301,x8305,x8306),f225(x8303,x8304,x8302,x8305,x8306))
% 225.14/225.12 [831]~E(x8311,x8312)+E(f225(x8313,x8314,x8315,x8311,x8316),f225(x8313,x8314,x8315,x8312,x8316))
% 225.14/225.12 [832]~E(x8321,x8322)+E(f225(x8323,x8324,x8325,x8326,x8321),f225(x8323,x8324,x8325,x8326,x8322))
% 225.14/225.12 [833]~E(x8331,x8332)+E(f903(x8331,x8333,x8334,x8335,x8336,x8337,x8338),f903(x8332,x8333,x8334,x8335,x8336,x8337,x8338))
% 225.14/225.12 [834]~E(x8341,x8342)+E(f903(x8343,x8341,x8344,x8345,x8346,x8347,x8348),f903(x8343,x8342,x8344,x8345,x8346,x8347,x8348))
% 225.14/225.12 [835]~E(x8351,x8352)+E(f903(x8353,x8354,x8351,x8355,x8356,x8357,x8358),f903(x8353,x8354,x8352,x8355,x8356,x8357,x8358))
% 225.14/225.12 [836]~E(x8361,x8362)+E(f903(x8363,x8364,x8365,x8361,x8366,x8367,x8368),f903(x8363,x8364,x8365,x8362,x8366,x8367,x8368))
% 225.14/225.12 [837]~E(x8371,x8372)+E(f903(x8373,x8374,x8375,x8376,x8371,x8377,x8378),f903(x8373,x8374,x8375,x8376,x8372,x8377,x8378))
% 225.14/225.12 [838]~E(x8381,x8382)+E(f903(x8383,x8384,x8385,x8386,x8387,x8381,x8388),f903(x8383,x8384,x8385,x8386,x8387,x8382,x8388))
% 225.14/225.12 [839]~E(x8391,x8392)+E(f903(x8393,x8394,x8395,x8396,x8397,x8398,x8391),f903(x8393,x8394,x8395,x8396,x8397,x8398,x8392))
% 225.14/225.12 [840]~E(x8401,x8402)+E(f76(x8401,x8403,x8404,x8405),f76(x8402,x8403,x8404,x8405))
% 225.14/225.12 [841]~E(x8411,x8412)+E(f76(x8413,x8411,x8414,x8415),f76(x8413,x8412,x8414,x8415))
% 225.14/225.12 [842]~E(x8421,x8422)+E(f76(x8423,x8424,x8421,x8425),f76(x8423,x8424,x8422,x8425))
% 225.14/225.12 [843]~E(x8431,x8432)+E(f76(x8433,x8434,x8435,x8431),f76(x8433,x8434,x8435,x8432))
% 225.14/225.12 [844]~E(x8441,x8442)+E(f734(x8441,x8443,x8444,x8445,x8446,x8447,x8448,x8449),f734(x8442,x8443,x8444,x8445,x8446,x8447,x8448,x8449))
% 225.14/225.12 [845]~E(x8451,x8452)+E(f734(x8453,x8451,x8454,x8455,x8456,x8457,x8458,x8459),f734(x8453,x8452,x8454,x8455,x8456,x8457,x8458,x8459))
% 225.14/225.12 [846]~E(x8461,x8462)+E(f734(x8463,x8464,x8461,x8465,x8466,x8467,x8468,x8469),f734(x8463,x8464,x8462,x8465,x8466,x8467,x8468,x8469))
% 225.14/225.12 [847]~E(x8471,x8472)+E(f734(x8473,x8474,x8475,x8471,x8476,x8477,x8478,x8479),f734(x8473,x8474,x8475,x8472,x8476,x8477,x8478,x8479))
% 225.14/225.12 [848]~E(x8481,x8482)+E(f734(x8483,x8484,x8485,x8486,x8481,x8487,x8488,x8489),f734(x8483,x8484,x8485,x8486,x8482,x8487,x8488,x8489))
% 225.14/225.12 [849]~E(x8491,x8492)+E(f734(x8493,x8494,x8495,x8496,x8497,x8491,x8498,x8499),f734(x8493,x8494,x8495,x8496,x8497,x8492,x8498,x8499))
% 225.14/225.12 [850]~E(x8501,x8502)+E(f734(x8503,x8504,x8505,x8506,x8507,x8508,x8501,x8509),f734(x8503,x8504,x8505,x8506,x8507,x8508,x8502,x8509))
% 225.14/225.12 [851]~E(x8511,x8512)+E(f734(x8513,x8514,x8515,x8516,x8517,x8518,x8519,x8511),f734(x8513,x8514,x8515,x8516,x8517,x8518,x8519,x8512))
% 225.14/225.12 [852]~E(x8521,x8522)+E(f506(x8521,x8523,x8524,x8525,x8526),f506(x8522,x8523,x8524,x8525,x8526))
% 225.14/225.12 [853]~E(x8531,x8532)+E(f506(x8533,x8531,x8534,x8535,x8536),f506(x8533,x8532,x8534,x8535,x8536))
% 225.14/225.12 [854]~E(x8541,x8542)+E(f506(x8543,x8544,x8541,x8545,x8546),f506(x8543,x8544,x8542,x8545,x8546))
% 225.14/225.12 [855]~E(x8551,x8552)+E(f506(x8553,x8554,x8555,x8551,x8556),f506(x8553,x8554,x8555,x8552,x8556))
% 225.14/225.12 [856]~E(x8561,x8562)+E(f506(x8563,x8564,x8565,x8566,x8561),f506(x8563,x8564,x8565,x8566,x8562))
% 225.14/225.12 [857]~E(x8571,x8572)+E(f258(x8571,x8573,x8574,x8575),f258(x8572,x8573,x8574,x8575))
% 225.14/225.12 [858]~E(x8581,x8582)+E(f258(x8583,x8581,x8584,x8585),f258(x8583,x8582,x8584,x8585))
% 225.14/225.12 [859]~E(x8591,x8592)+E(f258(x8593,x8594,x8591,x8595),f258(x8593,x8594,x8592,x8595))
% 225.14/225.12 [860]~E(x8601,x8602)+E(f258(x8603,x8604,x8605,x8601),f258(x8603,x8604,x8605,x8602))
% 225.14/225.12 [861]~E(x8611,x8612)+E(f785(x8611,x8613),f785(x8612,x8613))
% 225.14/225.12 [862]~E(x8621,x8622)+E(f785(x8623,x8621),f785(x8623,x8622))
% 225.14/225.12 [863]~E(x8631,x8632)+E(f696(x8631,x8633,x8634,x8635,x8636),f696(x8632,x8633,x8634,x8635,x8636))
% 225.14/225.12 [864]~E(x8641,x8642)+E(f696(x8643,x8641,x8644,x8645,x8646),f696(x8643,x8642,x8644,x8645,x8646))
% 225.14/225.12 [865]~E(x8651,x8652)+E(f696(x8653,x8654,x8651,x8655,x8656),f696(x8653,x8654,x8652,x8655,x8656))
% 225.14/225.12 [866]~E(x8661,x8662)+E(f696(x8663,x8664,x8665,x8661,x8666),f696(x8663,x8664,x8665,x8662,x8666))
% 225.14/225.12 [867]~E(x8671,x8672)+E(f696(x8673,x8674,x8675,x8676,x8671),f696(x8673,x8674,x8675,x8676,x8672))
% 225.14/225.12 [868]~E(x8681,x8682)+E(f834(x8681,x8683,x8684,x8685,x8686),f834(x8682,x8683,x8684,x8685,x8686))
% 225.14/225.12 [869]~E(x8691,x8692)+E(f834(x8693,x8691,x8694,x8695,x8696),f834(x8693,x8692,x8694,x8695,x8696))
% 225.14/225.12 [870]~E(x8701,x8702)+E(f834(x8703,x8704,x8701,x8705,x8706),f834(x8703,x8704,x8702,x8705,x8706))
% 225.14/225.12 [871]~E(x8711,x8712)+E(f834(x8713,x8714,x8715,x8711,x8716),f834(x8713,x8714,x8715,x8712,x8716))
% 225.14/225.12 [872]~E(x8721,x8722)+E(f834(x8723,x8724,x8725,x8726,x8721),f834(x8723,x8724,x8725,x8726,x8722))
% 225.14/225.12 [873]~E(x8731,x8732)+E(f334(x8731),f334(x8732))
% 225.14/225.12 [874]~E(x8741,x8742)+E(f689(x8741,x8743),f689(x8742,x8743))
% 225.14/225.12 [875]~E(x8751,x8752)+E(f689(x8753,x8751),f689(x8753,x8752))
% 225.14/225.12 [876]~E(x8761,x8762)+E(f911(x8761,x8763,x8764,x8765),f911(x8762,x8763,x8764,x8765))
% 225.14/225.12 [877]~E(x8771,x8772)+E(f911(x8773,x8771,x8774,x8775),f911(x8773,x8772,x8774,x8775))
% 225.14/225.12 [878]~E(x8781,x8782)+E(f911(x8783,x8784,x8781,x8785),f911(x8783,x8784,x8782,x8785))
% 225.14/225.12 [879]~E(x8791,x8792)+E(f911(x8793,x8794,x8795,x8791),f911(x8793,x8794,x8795,x8792))
% 225.14/225.12 [880]~E(x8801,x8802)+E(f508(x8801,x8803,x8804,x8805,x8806,x8807,x8808),f508(x8802,x8803,x8804,x8805,x8806,x8807,x8808))
% 225.14/225.12 [881]~E(x8811,x8812)+E(f508(x8813,x8811,x8814,x8815,x8816,x8817,x8818),f508(x8813,x8812,x8814,x8815,x8816,x8817,x8818))
% 225.14/225.12 [882]~E(x8821,x8822)+E(f508(x8823,x8824,x8821,x8825,x8826,x8827,x8828),f508(x8823,x8824,x8822,x8825,x8826,x8827,x8828))
% 225.14/225.12 [883]~E(x8831,x8832)+E(f508(x8833,x8834,x8835,x8831,x8836,x8837,x8838),f508(x8833,x8834,x8835,x8832,x8836,x8837,x8838))
% 225.14/225.12 [884]~E(x8841,x8842)+E(f508(x8843,x8844,x8845,x8846,x8841,x8847,x8848),f508(x8843,x8844,x8845,x8846,x8842,x8847,x8848))
% 225.14/225.12 [885]~E(x8851,x8852)+E(f508(x8853,x8854,x8855,x8856,x8857,x8851,x8858),f508(x8853,x8854,x8855,x8856,x8857,x8852,x8858))
% 225.14/225.12 [886]~E(x8861,x8862)+E(f508(x8863,x8864,x8865,x8866,x8867,x8868,x8861),f508(x8863,x8864,x8865,x8866,x8867,x8868,x8862))
% 225.14/225.12 [887]~E(x8871,x8872)+E(f680(x8871,x8873,x8874,x8875,x8876),f680(x8872,x8873,x8874,x8875,x8876))
% 225.14/225.12 [888]~E(x8881,x8882)+E(f680(x8883,x8881,x8884,x8885,x8886),f680(x8883,x8882,x8884,x8885,x8886))
% 225.14/225.12 [889]~E(x8891,x8892)+E(f680(x8893,x8894,x8891,x8895,x8896),f680(x8893,x8894,x8892,x8895,x8896))
% 225.14/225.12 [890]~E(x8901,x8902)+E(f680(x8903,x8904,x8905,x8901,x8906),f680(x8903,x8904,x8905,x8902,x8906))
% 225.14/225.12 [891]~E(x8911,x8912)+E(f680(x8913,x8914,x8915,x8916,x8911),f680(x8913,x8914,x8915,x8916,x8912))
% 225.14/225.12 [892]~E(x8921,x8922)+E(f383(x8921,x8923,x8924),f383(x8922,x8923,x8924))
% 225.14/225.12 [893]~E(x8931,x8932)+E(f383(x8933,x8931,x8934),f383(x8933,x8932,x8934))
% 225.14/225.12 [894]~E(x8941,x8942)+E(f383(x8943,x8944,x8941),f383(x8943,x8944,x8942))
% 225.14/225.12 [895]~E(x8951,x8952)+E(f451(x8951,x8953,x8954,x8955),f451(x8952,x8953,x8954,x8955))
% 225.14/225.12 [896]~E(x8961,x8962)+E(f451(x8963,x8961,x8964,x8965),f451(x8963,x8962,x8964,x8965))
% 225.14/225.12 [897]~E(x8971,x8972)+E(f451(x8973,x8974,x8971,x8975),f451(x8973,x8974,x8972,x8975))
% 225.14/225.12 [898]~E(x8981,x8982)+E(f451(x8983,x8984,x8985,x8981),f451(x8983,x8984,x8985,x8982))
% 225.14/225.12 [899]~E(x8991,x8992)+E(f480(x8991,x8993,x8994,x8995,x8996),f480(x8992,x8993,x8994,x8995,x8996))
% 225.14/225.12 [900]~E(x9001,x9002)+E(f480(x9003,x9001,x9004,x9005,x9006),f480(x9003,x9002,x9004,x9005,x9006))
% 225.14/225.12 [901]~E(x9011,x9012)+E(f480(x9013,x9014,x9011,x9015,x9016),f480(x9013,x9014,x9012,x9015,x9016))
% 225.14/225.12 [902]~E(x9021,x9022)+E(f480(x9023,x9024,x9025,x9021,x9026),f480(x9023,x9024,x9025,x9022,x9026))
% 225.14/225.12 [903]~E(x9031,x9032)+E(f480(x9033,x9034,x9035,x9036,x9031),f480(x9033,x9034,x9035,x9036,x9032))
% 225.14/225.12 [904]~E(x9041,x9042)+E(f474(x9041,x9043,x9044),f474(x9042,x9043,x9044))
% 225.14/225.12 [905]~E(x9051,x9052)+E(f474(x9053,x9051,x9054),f474(x9053,x9052,x9054))
% 225.14/225.12 [906]~E(x9061,x9062)+E(f474(x9063,x9064,x9061),f474(x9063,x9064,x9062))
% 225.14/225.12 [907]~E(x9071,x9072)+E(f116(x9071,x9073,x9074),f116(x9072,x9073,x9074))
% 225.14/225.12 [908]~E(x9081,x9082)+E(f116(x9083,x9081,x9084),f116(x9083,x9082,x9084))
% 225.14/225.12 [909]~E(x9091,x9092)+E(f116(x9093,x9094,x9091),f116(x9093,x9094,x9092))
% 225.14/225.12 [910]~E(x9101,x9102)+E(f268(x9101,x9103),f268(x9102,x9103))
% 225.14/225.12 [911]~E(x9111,x9112)+E(f268(x9113,x9111),f268(x9113,x9112))
% 225.14/225.12 [912]~E(x9121,x9122)+E(f772(x9121,x9123,x9124),f772(x9122,x9123,x9124))
% 225.14/225.12 [913]~E(x9131,x9132)+E(f772(x9133,x9131,x9134),f772(x9133,x9132,x9134))
% 225.14/225.12 [914]~E(x9141,x9142)+E(f772(x9143,x9144,x9141),f772(x9143,x9144,x9142))
% 225.14/225.12 [915]~E(x9151,x9152)+E(f470(x9151,x9153,x9154,x9155),f470(x9152,x9153,x9154,x9155))
% 225.14/225.12 [916]~E(x9161,x9162)+E(f470(x9163,x9161,x9164,x9165),f470(x9163,x9162,x9164,x9165))
% 225.14/225.12 [917]~E(x9171,x9172)+E(f470(x9173,x9174,x9171,x9175),f470(x9173,x9174,x9172,x9175))
% 225.14/225.12 [918]~E(x9181,x9182)+E(f470(x9183,x9184,x9185,x9181),f470(x9183,x9184,x9185,x9182))
% 225.14/225.12 [919]~E(x9191,x9192)+E(f216(x9191,x9193),f216(x9192,x9193))
% 225.14/225.12 [920]~E(x9201,x9202)+E(f216(x9203,x9201),f216(x9203,x9202))
% 225.14/225.12 [921]~E(x9211,x9212)+E(f558(x9211,x9213),f558(x9212,x9213))
% 225.14/225.12 [922]~E(x9221,x9222)+E(f558(x9223,x9221),f558(x9223,x9222))
% 225.14/225.12 [923]~E(x9231,x9232)+E(f263(x9231,x9233),f263(x9232,x9233))
% 225.14/225.12 [924]~E(x9241,x9242)+E(f263(x9243,x9241),f263(x9243,x9242))
% 225.14/225.12 [925]~E(x9251,x9252)+E(f507(x9251,x9253,x9254,x9255,x9256),f507(x9252,x9253,x9254,x9255,x9256))
% 225.14/225.12 [926]~E(x9261,x9262)+E(f507(x9263,x9261,x9264,x9265,x9266),f507(x9263,x9262,x9264,x9265,x9266))
% 225.14/225.12 [927]~E(x9271,x9272)+E(f507(x9273,x9274,x9271,x9275,x9276),f507(x9273,x9274,x9272,x9275,x9276))
% 225.14/225.12 [928]~E(x9281,x9282)+E(f507(x9283,x9284,x9285,x9281,x9286),f507(x9283,x9284,x9285,x9282,x9286))
% 225.14/225.12 [929]~E(x9291,x9292)+E(f507(x9293,x9294,x9295,x9296,x9291),f507(x9293,x9294,x9295,x9296,x9292))
% 225.14/225.12 [930]~E(x9301,x9302)+E(f623(x9301,x9303,x9304),f623(x9302,x9303,x9304))
% 225.14/225.12 [931]~E(x9311,x9312)+E(f623(x9313,x9311,x9314),f623(x9313,x9312,x9314))
% 225.14/225.12 [932]~E(x9321,x9322)+E(f623(x9323,x9324,x9321),f623(x9323,x9324,x9322))
% 225.14/225.12 [933]~E(x9331,x9332)+E(f500(x9331,x9333,x9334,x9335,x9336),f500(x9332,x9333,x9334,x9335,x9336))
% 225.14/225.12 [934]~E(x9341,x9342)+E(f500(x9343,x9341,x9344,x9345,x9346),f500(x9343,x9342,x9344,x9345,x9346))
% 225.14/225.12 [935]~E(x9351,x9352)+E(f500(x9353,x9354,x9351,x9355,x9356),f500(x9353,x9354,x9352,x9355,x9356))
% 225.14/225.12 [936]~E(x9361,x9362)+E(f500(x9363,x9364,x9365,x9361,x9366),f500(x9363,x9364,x9365,x9362,x9366))
% 225.14/225.12 [937]~E(x9371,x9372)+E(f500(x9373,x9374,x9375,x9376,x9371),f500(x9373,x9374,x9375,x9376,x9372))
% 225.14/225.12 [938]~E(x9381,x9382)+E(f192(x9381,x9383),f192(x9382,x9383))
% 225.14/225.12 [939]~E(x9391,x9392)+E(f192(x9393,x9391),f192(x9393,x9392))
% 225.14/225.12 [940]~E(x9401,x9402)+E(f521(x9401,x9403,x9404,x9405),f521(x9402,x9403,x9404,x9405))
% 225.14/225.12 [941]~E(x9411,x9412)+E(f521(x9413,x9411,x9414,x9415),f521(x9413,x9412,x9414,x9415))
% 225.14/225.12 [942]~E(x9421,x9422)+E(f521(x9423,x9424,x9421,x9425),f521(x9423,x9424,x9422,x9425))
% 225.14/225.12 [943]~E(x9431,x9432)+E(f521(x9433,x9434,x9435,x9431),f521(x9433,x9434,x9435,x9432))
% 225.14/225.12 [944]~E(x9441,x9442)+E(f121(x9441,x9443),f121(x9442,x9443))
% 225.14/225.12 [945]~E(x9451,x9452)+E(f121(x9453,x9451),f121(x9453,x9452))
% 225.14/225.12 [946]~E(x9461,x9462)+E(f598(x9461,x9463),f598(x9462,x9463))
% 225.14/225.12 [947]~E(x9471,x9472)+E(f598(x9473,x9471),f598(x9473,x9472))
% 225.14/225.12 [948]~E(x9481,x9482)+E(f551(x9481,x9483,x9484,x9485,x9486,x9487,x9488,x9489),f551(x9482,x9483,x9484,x9485,x9486,x9487,x9488,x9489))
% 225.14/225.12 [949]~E(x9491,x9492)+E(f551(x9493,x9491,x9494,x9495,x9496,x9497,x9498,x9499),f551(x9493,x9492,x9494,x9495,x9496,x9497,x9498,x9499))
% 225.14/225.12 [950]~E(x9501,x9502)+E(f551(x9503,x9504,x9501,x9505,x9506,x9507,x9508,x9509),f551(x9503,x9504,x9502,x9505,x9506,x9507,x9508,x9509))
% 225.14/225.12 [951]~E(x9511,x9512)+E(f551(x9513,x9514,x9515,x9511,x9516,x9517,x9518,x9519),f551(x9513,x9514,x9515,x9512,x9516,x9517,x9518,x9519))
% 225.14/225.12 [952]~E(x9521,x9522)+E(f551(x9523,x9524,x9525,x9526,x9521,x9527,x9528,x9529),f551(x9523,x9524,x9525,x9526,x9522,x9527,x9528,x9529))
% 225.14/225.12 [953]~E(x9531,x9532)+E(f551(x9533,x9534,x9535,x9536,x9537,x9531,x9538,x9539),f551(x9533,x9534,x9535,x9536,x9537,x9532,x9538,x9539))
% 225.14/225.12 [954]~E(x9541,x9542)+E(f551(x9543,x9544,x9545,x9546,x9547,x9548,x9541,x9549),f551(x9543,x9544,x9545,x9546,x9547,x9548,x9542,x9549))
% 225.14/225.12 [955]~E(x9551,x9552)+E(f551(x9553,x9554,x9555,x9556,x9557,x9558,x9559,x9551),f551(x9553,x9554,x9555,x9556,x9557,x9558,x9559,x9552))
% 225.14/225.12 [956]~E(x9561,x9562)+E(f210(x9561,x9563,x9564,x9565),f210(x9562,x9563,x9564,x9565))
% 225.14/225.12 [957]~E(x9571,x9572)+E(f210(x9573,x9571,x9574,x9575),f210(x9573,x9572,x9574,x9575))
% 225.14/225.12 [958]~E(x9581,x9582)+E(f210(x9583,x9584,x9581,x9585),f210(x9583,x9584,x9582,x9585))
% 225.14/225.12 [959]~E(x9591,x9592)+E(f210(x9593,x9594,x9595,x9591),f210(x9593,x9594,x9595,x9592))
% 225.14/225.12 [960]~E(x9601,x9602)+E(f870(x9601,x9603,x9604,x9605,x9606,x9607),f870(x9602,x9603,x9604,x9605,x9606,x9607))
% 225.14/225.12 [961]~E(x9611,x9612)+E(f870(x9613,x9611,x9614,x9615,x9616,x9617),f870(x9613,x9612,x9614,x9615,x9616,x9617))
% 225.14/225.12 [962]~E(x9621,x9622)+E(f870(x9623,x9624,x9621,x9625,x9626,x9627),f870(x9623,x9624,x9622,x9625,x9626,x9627))
% 225.14/225.12 [963]~E(x9631,x9632)+E(f870(x9633,x9634,x9635,x9631,x9636,x9637),f870(x9633,x9634,x9635,x9632,x9636,x9637))
% 225.14/225.12 [964]~E(x9641,x9642)+E(f870(x9643,x9644,x9645,x9646,x9641,x9647),f870(x9643,x9644,x9645,x9646,x9642,x9647))
% 225.14/225.12 [965]~E(x9651,x9652)+E(f870(x9653,x9654,x9655,x9656,x9657,x9651),f870(x9653,x9654,x9655,x9656,x9657,x9652))
% 225.14/225.12 [966]~E(x9661,x9662)+E(f150(x9661,x9663,x9664,x9665),f150(x9662,x9663,x9664,x9665))
% 225.14/225.12 [967]~E(x9671,x9672)+E(f150(x9673,x9671,x9674,x9675),f150(x9673,x9672,x9674,x9675))
% 225.14/225.12 [968]~E(x9681,x9682)+E(f150(x9683,x9684,x9681,x9685),f150(x9683,x9684,x9682,x9685))
% 225.14/225.12 [969]~E(x9691,x9692)+E(f150(x9693,x9694,x9695,x9691),f150(x9693,x9694,x9695,x9692))
% 225.14/225.12 [970]~E(x9701,x9702)+E(f457(x9701,x9703,x9704,x9705,x9706),f457(x9702,x9703,x9704,x9705,x9706))
% 225.14/225.12 [971]~E(x9711,x9712)+E(f457(x9713,x9711,x9714,x9715,x9716),f457(x9713,x9712,x9714,x9715,x9716))
% 225.14/225.12 [972]~E(x9721,x9722)+E(f457(x9723,x9724,x9721,x9725,x9726),f457(x9723,x9724,x9722,x9725,x9726))
% 225.14/225.12 [973]~E(x9731,x9732)+E(f457(x9733,x9734,x9735,x9731,x9736),f457(x9733,x9734,x9735,x9732,x9736))
% 225.14/225.12 [974]~E(x9741,x9742)+E(f457(x9743,x9744,x9745,x9746,x9741),f457(x9743,x9744,x9745,x9746,x9742))
% 225.14/225.12 [975]~E(x9751,x9752)+E(f293(x9751,x9753,x9754),f293(x9752,x9753,x9754))
% 225.14/225.12 [976]~E(x9761,x9762)+E(f293(x9763,x9761,x9764),f293(x9763,x9762,x9764))
% 225.14/225.12 [977]~E(x9771,x9772)+E(f293(x9773,x9774,x9771),f293(x9773,x9774,x9772))
% 225.14/225.12 [978]~E(x9781,x9782)+E(f679(x9781,x9783,x9784,x9785,x9786),f679(x9782,x9783,x9784,x9785,x9786))
% 225.14/225.12 [979]~E(x9791,x9792)+E(f679(x9793,x9791,x9794,x9795,x9796),f679(x9793,x9792,x9794,x9795,x9796))
% 225.14/225.12 [980]~E(x9801,x9802)+E(f679(x9803,x9804,x9801,x9805,x9806),f679(x9803,x9804,x9802,x9805,x9806))
% 225.14/225.12 [981]~E(x9811,x9812)+E(f679(x9813,x9814,x9815,x9811,x9816),f679(x9813,x9814,x9815,x9812,x9816))
% 225.14/225.12 [982]~E(x9821,x9822)+E(f679(x9823,x9824,x9825,x9826,x9821),f679(x9823,x9824,x9825,x9826,x9822))
% 225.14/225.12 [983]~E(x9831,x9832)+E(f478(x9831,x9833,x9834,x9835,x9836),f478(x9832,x9833,x9834,x9835,x9836))
% 225.14/225.12 [984]~E(x9841,x9842)+E(f478(x9843,x9841,x9844,x9845,x9846),f478(x9843,x9842,x9844,x9845,x9846))
% 225.14/225.12 [985]~E(x9851,x9852)+E(f478(x9853,x9854,x9851,x9855,x9856),f478(x9853,x9854,x9852,x9855,x9856))
% 225.14/225.12 [986]~E(x9861,x9862)+E(f478(x9863,x9864,x9865,x9861,x9866),f478(x9863,x9864,x9865,x9862,x9866))
% 225.14/225.12 [987]~E(x9871,x9872)+E(f478(x9873,x9874,x9875,x9876,x9871),f478(x9873,x9874,x9875,x9876,x9872))
% 225.14/225.12 [988]~E(x9881,x9882)+E(f442(x9881),f442(x9882))
% 225.14/225.12 [989]~E(x9891,x9892)+E(f584(x9891,x9893),f584(x9892,x9893))
% 225.14/225.12 [990]~E(x9901,x9902)+E(f584(x9903,x9901),f584(x9903,x9902))
% 225.14/225.12 [991]~E(x9911,x9912)+E(f509(x9911,x9913,x9914,x9915,x9916,x9917,x9918),f509(x9912,x9913,x9914,x9915,x9916,x9917,x9918))
% 225.14/225.12 [992]~E(x9921,x9922)+E(f509(x9923,x9921,x9924,x9925,x9926,x9927,x9928),f509(x9923,x9922,x9924,x9925,x9926,x9927,x9928))
% 225.14/225.12 [993]~E(x9931,x9932)+E(f509(x9933,x9934,x9931,x9935,x9936,x9937,x9938),f509(x9933,x9934,x9932,x9935,x9936,x9937,x9938))
% 225.14/225.12 [994]~E(x9941,x9942)+E(f509(x9943,x9944,x9945,x9941,x9946,x9947,x9948),f509(x9943,x9944,x9945,x9942,x9946,x9947,x9948))
% 225.14/225.12 [995]~E(x9951,x9952)+E(f509(x9953,x9954,x9955,x9956,x9951,x9957,x9958),f509(x9953,x9954,x9955,x9956,x9952,x9957,x9958))
% 225.14/225.12 [996]~E(x9961,x9962)+E(f509(x9963,x9964,x9965,x9966,x9967,x9961,x9968),f509(x9963,x9964,x9965,x9966,x9967,x9962,x9968))
% 225.14/225.12 [997]~E(x9971,x9972)+E(f509(x9973,x9974,x9975,x9976,x9977,x9978,x9971),f509(x9973,x9974,x9975,x9976,x9977,x9978,x9972))
% 225.14/225.12 [998]~E(x9981,x9982)+E(f732(x9981,x9983),f732(x9982,x9983))
% 225.14/225.12 [999]~E(x9991,x9992)+E(f732(x9993,x9991),f732(x9993,x9992))
% 225.14/225.12 [1000]~E(x10001,x10002)+E(f855(x10001,x10003,x10004),f855(x10002,x10003,x10004))
% 225.14/225.12 [1001]~E(x10011,x10012)+E(f855(x10013,x10011,x10014),f855(x10013,x10012,x10014))
% 225.14/225.12 [1002]~E(x10021,x10022)+E(f855(x10023,x10024,x10021),f855(x10023,x10024,x10022))
% 225.14/225.12 [1003]~E(x10031,x10032)+E(f815(x10031,x10033,x10034,x10035,x10036,x10037),f815(x10032,x10033,x10034,x10035,x10036,x10037))
% 225.14/225.12 [1004]~E(x10041,x10042)+E(f815(x10043,x10041,x10044,x10045,x10046,x10047),f815(x10043,x10042,x10044,x10045,x10046,x10047))
% 225.14/225.12 [1005]~E(x10051,x10052)+E(f815(x10053,x10054,x10051,x10055,x10056,x10057),f815(x10053,x10054,x10052,x10055,x10056,x10057))
% 225.14/225.12 [1006]~E(x10061,x10062)+E(f815(x10063,x10064,x10065,x10061,x10066,x10067),f815(x10063,x10064,x10065,x10062,x10066,x10067))
% 225.14/225.12 [1007]~E(x10071,x10072)+E(f815(x10073,x10074,x10075,x10076,x10071,x10077),f815(x10073,x10074,x10075,x10076,x10072,x10077))
% 225.14/225.12 [1008]~E(x10081,x10082)+E(f815(x10083,x10084,x10085,x10086,x10087,x10081),f815(x10083,x10084,x10085,x10086,x10087,x10082))
% 225.14/225.12 [1009]~E(x10091,x10092)+E(f859(x10091,x10093,x10094,x10095,x10096,x10097,x10098),f859(x10092,x10093,x10094,x10095,x10096,x10097,x10098))
% 225.14/225.12 [1010]~E(x10101,x10102)+E(f859(x10103,x10101,x10104,x10105,x10106,x10107,x10108),f859(x10103,x10102,x10104,x10105,x10106,x10107,x10108))
% 225.14/225.12 [1011]~E(x10111,x10112)+E(f859(x10113,x10114,x10111,x10115,x10116,x10117,x10118),f859(x10113,x10114,x10112,x10115,x10116,x10117,x10118))
% 225.14/225.12 [1012]~E(x10121,x10122)+E(f859(x10123,x10124,x10125,x10121,x10126,x10127,x10128),f859(x10123,x10124,x10125,x10122,x10126,x10127,x10128))
% 225.14/225.12 [1013]~E(x10131,x10132)+E(f859(x10133,x10134,x10135,x10136,x10131,x10137,x10138),f859(x10133,x10134,x10135,x10136,x10132,x10137,x10138))
% 225.14/225.12 [1014]~E(x10141,x10142)+E(f859(x10143,x10144,x10145,x10146,x10147,x10141,x10148),f859(x10143,x10144,x10145,x10146,x10147,x10142,x10148))
% 225.14/225.12 [1015]~E(x10151,x10152)+E(f859(x10153,x10154,x10155,x10156,x10157,x10158,x10151),f859(x10153,x10154,x10155,x10156,x10157,x10158,x10152))
% 225.14/225.12 [1016]~E(x10161,x10162)+E(f127(x10161,x10163,x10164,x10165,x10166),f127(x10162,x10163,x10164,x10165,x10166))
% 225.14/225.12 [1017]~E(x10171,x10172)+E(f127(x10173,x10171,x10174,x10175,x10176),f127(x10173,x10172,x10174,x10175,x10176))
% 225.14/225.12 [1018]~E(x10181,x10182)+E(f127(x10183,x10184,x10181,x10185,x10186),f127(x10183,x10184,x10182,x10185,x10186))
% 225.14/225.12 [1019]~E(x10191,x10192)+E(f127(x10193,x10194,x10195,x10191,x10196),f127(x10193,x10194,x10195,x10192,x10196))
% 225.14/225.12 [1020]~E(x10201,x10202)+E(f127(x10203,x10204,x10205,x10206,x10201),f127(x10203,x10204,x10205,x10206,x10202))
% 225.14/225.12 [1021]~E(x10211,x10212)+E(f631(x10211,x10213,x10214,x10215,x10216),f631(x10212,x10213,x10214,x10215,x10216))
% 225.14/225.12 [1022]~E(x10221,x10222)+E(f631(x10223,x10221,x10224,x10225,x10226),f631(x10223,x10222,x10224,x10225,x10226))
% 225.14/225.12 [1023]~E(x10231,x10232)+E(f631(x10233,x10234,x10231,x10235,x10236),f631(x10233,x10234,x10232,x10235,x10236))
% 225.14/225.12 [1024]~E(x10241,x10242)+E(f631(x10243,x10244,x10245,x10241,x10246),f631(x10243,x10244,x10245,x10242,x10246))
% 225.14/225.12 [1025]~E(x10251,x10252)+E(f631(x10253,x10254,x10255,x10256,x10251),f631(x10253,x10254,x10255,x10256,x10252))
% 225.14/225.12 [1026]~E(x10261,x10262)+E(f174(x10261,x10263,x10264),f174(x10262,x10263,x10264))
% 225.14/225.12 [1027]~E(x10271,x10272)+E(f174(x10273,x10271,x10274),f174(x10273,x10272,x10274))
% 225.14/225.12 [1028]~E(x10281,x10282)+E(f174(x10283,x10284,x10281),f174(x10283,x10284,x10282))
% 225.14/225.12 [1029]~E(x10291,x10292)+E(f248(x10291,x10293,x10294),f248(x10292,x10293,x10294))
% 225.14/225.12 [1030]~E(x10301,x10302)+E(f248(x10303,x10301,x10304),f248(x10303,x10302,x10304))
% 225.14/225.12 [1031]~E(x10311,x10312)+E(f248(x10313,x10314,x10311),f248(x10313,x10314,x10312))
% 225.14/225.12 [1032]~E(x10321,x10322)+E(f518(x10321,x10323),f518(x10322,x10323))
% 225.14/225.12 [1033]~E(x10331,x10332)+E(f518(x10333,x10331),f518(x10333,x10332))
% 225.14/225.12 [1034]~E(x10341,x10342)+E(f280(x10341),f280(x10342))
% 225.14/225.12 [1035]~E(x10351,x10352)+E(f652(x10351,x10353,x10354,x10355),f652(x10352,x10353,x10354,x10355))
% 225.14/225.12 [1036]~E(x10361,x10362)+E(f652(x10363,x10361,x10364,x10365),f652(x10363,x10362,x10364,x10365))
% 225.14/225.12 [1037]~E(x10371,x10372)+E(f652(x10373,x10374,x10371,x10375),f652(x10373,x10374,x10372,x10375))
% 225.14/225.12 [1038]~E(x10381,x10382)+E(f652(x10383,x10384,x10385,x10381),f652(x10383,x10384,x10385,x10382))
% 225.14/225.12 [1039]~E(x10391,x10392)+E(f394(x10391,x10393,x10394),f394(x10392,x10393,x10394))
% 225.14/225.12 [1040]~E(x10401,x10402)+E(f394(x10403,x10401,x10404),f394(x10403,x10402,x10404))
% 225.14/225.12 [1041]~E(x10411,x10412)+E(f394(x10413,x10414,x10411),f394(x10413,x10414,x10412))
% 225.14/225.12 [1042]~E(x10421,x10422)+E(f21(x10421,x10423,x10424,x10425),f21(x10422,x10423,x10424,x10425))
% 225.14/225.12 [1043]~E(x10431,x10432)+E(f21(x10433,x10431,x10434,x10435),f21(x10433,x10432,x10434,x10435))
% 225.14/225.12 [1044]~E(x10441,x10442)+E(f21(x10443,x10444,x10441,x10445),f21(x10443,x10444,x10442,x10445))
% 225.14/225.12 [1045]~E(x10451,x10452)+E(f21(x10453,x10454,x10455,x10451),f21(x10453,x10454,x10455,x10452))
% 225.14/225.12 [1046]~E(x10461,x10462)+E(f861(x10461,x10463,x10464),f861(x10462,x10463,x10464))
% 225.14/225.12 [1047]~E(x10471,x10472)+E(f861(x10473,x10471,x10474),f861(x10473,x10472,x10474))
% 225.14/225.12 [1048]~E(x10481,x10482)+E(f861(x10483,x10484,x10481),f861(x10483,x10484,x10482))
% 225.14/225.12 [1049]~E(x10491,x10492)+E(f29(x10491,x10493),f29(x10492,x10493))
% 225.14/225.12 [1050]~E(x10501,x10502)+E(f29(x10503,x10501),f29(x10503,x10502))
% 225.14/225.12 [1051]~E(x10511,x10512)+E(f223(x10511,x10513,x10514,x10515,x10516),f223(x10512,x10513,x10514,x10515,x10516))
% 225.14/225.12 [1052]~E(x10521,x10522)+E(f223(x10523,x10521,x10524,x10525,x10526),f223(x10523,x10522,x10524,x10525,x10526))
% 225.14/225.12 [1053]~E(x10531,x10532)+E(f223(x10533,x10534,x10531,x10535,x10536),f223(x10533,x10534,x10532,x10535,x10536))
% 225.14/225.12 [1054]~E(x10541,x10542)+E(f223(x10543,x10544,x10545,x10541,x10546),f223(x10543,x10544,x10545,x10542,x10546))
% 225.14/225.12 [1055]~E(x10551,x10552)+E(f223(x10553,x10554,x10555,x10556,x10551),f223(x10553,x10554,x10555,x10556,x10552))
% 225.14/225.12 [1056]~E(x10561,x10562)+E(f185(x10561,x10563,x10564,x10565),f185(x10562,x10563,x10564,x10565))
% 225.14/225.12 [1057]~E(x10571,x10572)+E(f185(x10573,x10571,x10574,x10575),f185(x10573,x10572,x10574,x10575))
% 225.14/225.12 [1058]~E(x10581,x10582)+E(f185(x10583,x10584,x10581,x10585),f185(x10583,x10584,x10582,x10585))
% 225.14/225.12 [1059]~E(x10591,x10592)+E(f185(x10593,x10594,x10595,x10591),f185(x10593,x10594,x10595,x10592))
% 225.14/225.12 [1060]~E(x10601,x10602)+E(f466(x10601,x10603,x10604,x10605,x10606),f466(x10602,x10603,x10604,x10605,x10606))
% 225.14/225.12 [1061]~E(x10611,x10612)+E(f466(x10613,x10611,x10614,x10615,x10616),f466(x10613,x10612,x10614,x10615,x10616))
% 225.14/225.12 [1062]~E(x10621,x10622)+E(f466(x10623,x10624,x10621,x10625,x10626),f466(x10623,x10624,x10622,x10625,x10626))
% 225.14/225.12 [1063]~E(x10631,x10632)+E(f466(x10633,x10634,x10635,x10631,x10636),f466(x10633,x10634,x10635,x10632,x10636))
% 225.14/225.12 [1064]~E(x10641,x10642)+E(f466(x10643,x10644,x10645,x10646,x10641),f466(x10643,x10644,x10645,x10646,x10642))
% 225.14/225.12 [1065]~E(x10651,x10652)+E(f668(x10651,x10653),f668(x10652,x10653))
% 225.14/225.12 [1066]~E(x10661,x10662)+E(f668(x10663,x10661),f668(x10663,x10662))
% 225.14/225.12 [1067]~E(x10671,x10672)+E(f423(x10671,x10673,x10674),f423(x10672,x10673,x10674))
% 225.14/225.12 [1068]~E(x10681,x10682)+E(f423(x10683,x10681,x10684),f423(x10683,x10682,x10684))
% 225.14/225.12 [1069]~E(x10691,x10692)+E(f423(x10693,x10694,x10691),f423(x10693,x10694,x10692))
% 225.14/225.12 [1070]~E(x10701,x10702)+E(f589(x10701,x10703,x10704),f589(x10702,x10703,x10704))
% 225.14/225.12 [1071]~E(x10711,x10712)+E(f589(x10713,x10711,x10714),f589(x10713,x10712,x10714))
% 225.14/225.12 [1072]~E(x10721,x10722)+E(f589(x10723,x10724,x10721),f589(x10723,x10724,x10722))
% 225.14/225.12 [1073]~E(x10731,x10732)+E(f312(x10731,x10733,x10734,x10735),f312(x10732,x10733,x10734,x10735))
% 225.14/225.12 [1074]~E(x10741,x10742)+E(f312(x10743,x10741,x10744,x10745),f312(x10743,x10742,x10744,x10745))
% 225.14/225.12 [1075]~E(x10751,x10752)+E(f312(x10753,x10754,x10751,x10755),f312(x10753,x10754,x10752,x10755))
% 225.14/225.12 [1076]~E(x10761,x10762)+E(f312(x10763,x10764,x10765,x10761),f312(x10763,x10764,x10765,x10762))
% 225.14/225.12 [1077]~E(x10771,x10772)+E(f799(x10771,x10773,x10774,x10775),f799(x10772,x10773,x10774,x10775))
% 225.14/225.12 [1078]~E(x10781,x10782)+E(f799(x10783,x10781,x10784,x10785),f799(x10783,x10782,x10784,x10785))
% 225.14/225.12 [1079]~E(x10791,x10792)+E(f799(x10793,x10794,x10791,x10795),f799(x10793,x10794,x10792,x10795))
% 225.14/225.12 [1080]~E(x10801,x10802)+E(f799(x10803,x10804,x10805,x10801),f799(x10803,x10804,x10805,x10802))
% 225.14/225.12 [1081]~E(x10811,x10812)+E(f565(x10811,x10813,x10814,x10815),f565(x10812,x10813,x10814,x10815))
% 225.14/225.12 [1082]~E(x10821,x10822)+E(f565(x10823,x10821,x10824,x10825),f565(x10823,x10822,x10824,x10825))
% 225.14/225.12 [1083]~E(x10831,x10832)+E(f565(x10833,x10834,x10831,x10835),f565(x10833,x10834,x10832,x10835))
% 225.14/225.12 [1084]~E(x10841,x10842)+E(f565(x10843,x10844,x10845,x10841),f565(x10843,x10844,x10845,x10842))
% 225.14/225.12 [1085]~E(x10851,x10852)+E(f759(x10851,x10853,x10854),f759(x10852,x10853,x10854))
% 225.14/225.12 [1086]~E(x10861,x10862)+E(f759(x10863,x10861,x10864),f759(x10863,x10862,x10864))
% 225.14/225.12 [1087]~E(x10871,x10872)+E(f759(x10873,x10874,x10871),f759(x10873,x10874,x10872))
% 225.14/225.12 [1088]~E(x10881,x10882)+E(f126(x10881,x10883,x10884),f126(x10882,x10883,x10884))
% 225.14/225.12 [1089]~E(x10891,x10892)+E(f126(x10893,x10891,x10894),f126(x10893,x10892,x10894))
% 225.14/225.12 [1090]~E(x10901,x10902)+E(f126(x10903,x10904,x10901),f126(x10903,x10904,x10902))
% 225.14/225.12 [1091]~E(x10911,x10912)+E(f749(x10911,x10913,x10914,x10915,x10916,x10917,x10918),f749(x10912,x10913,x10914,x10915,x10916,x10917,x10918))
% 225.14/225.12 [1092]~E(x10921,x10922)+E(f749(x10923,x10921,x10924,x10925,x10926,x10927,x10928),f749(x10923,x10922,x10924,x10925,x10926,x10927,x10928))
% 225.14/225.12 [1093]~E(x10931,x10932)+E(f749(x10933,x10934,x10931,x10935,x10936,x10937,x10938),f749(x10933,x10934,x10932,x10935,x10936,x10937,x10938))
% 225.14/225.12 [1094]~E(x10941,x10942)+E(f749(x10943,x10944,x10945,x10941,x10946,x10947,x10948),f749(x10943,x10944,x10945,x10942,x10946,x10947,x10948))
% 225.14/225.12 [1095]~E(x10951,x10952)+E(f749(x10953,x10954,x10955,x10956,x10951,x10957,x10958),f749(x10953,x10954,x10955,x10956,x10952,x10957,x10958))
% 225.14/225.12 [1096]~E(x10961,x10962)+E(f749(x10963,x10964,x10965,x10966,x10967,x10961,x10968),f749(x10963,x10964,x10965,x10966,x10967,x10962,x10968))
% 225.14/225.12 [1097]~E(x10971,x10972)+E(f749(x10973,x10974,x10975,x10976,x10977,x10978,x10971),f749(x10973,x10974,x10975,x10976,x10977,x10978,x10972))
% 225.14/225.12 [1098]~E(x10981,x10982)+E(f118(x10981,x10983,x10984),f118(x10982,x10983,x10984))
% 225.14/225.12 [1099]~E(x10991,x10992)+E(f118(x10993,x10991,x10994),f118(x10993,x10992,x10994))
% 225.14/225.12 [1100]~E(x11001,x11002)+E(f118(x11003,x11004,x11001),f118(x11003,x11004,x11002))
% 225.14/225.12 [1101]~E(x11011,x11012)+E(f391(x11011,x11013,x11014),f391(x11012,x11013,x11014))
% 225.14/225.12 [1102]~E(x11021,x11022)+E(f391(x11023,x11021,x11024),f391(x11023,x11022,x11024))
% 225.14/225.12 [1103]~E(x11031,x11032)+E(f391(x11033,x11034,x11031),f391(x11033,x11034,x11032))
% 225.14/225.12 [1104]~E(x11041,x11042)+E(f737(x11041,x11043,x11044,x11045,x11046),f737(x11042,x11043,x11044,x11045,x11046))
% 225.14/225.12 [1105]~E(x11051,x11052)+E(f737(x11053,x11051,x11054,x11055,x11056),f737(x11053,x11052,x11054,x11055,x11056))
% 225.14/225.12 [1106]~E(x11061,x11062)+E(f737(x11063,x11064,x11061,x11065,x11066),f737(x11063,x11064,x11062,x11065,x11066))
% 225.14/225.12 [1107]~E(x11071,x11072)+E(f737(x11073,x11074,x11075,x11071,x11076),f737(x11073,x11074,x11075,x11072,x11076))
% 225.14/225.12 [1108]~E(x11081,x11082)+E(f737(x11083,x11084,x11085,x11086,x11081),f737(x11083,x11084,x11085,x11086,x11082))
% 225.14/225.12 [1109]~E(x11091,x11092)+E(f165(x11091),f165(x11092))
% 225.14/225.12 [1110]~E(x11101,x11102)+E(f806(x11101,x11103),f806(x11102,x11103))
% 225.14/225.12 [1111]~E(x11111,x11112)+E(f806(x11113,x11111),f806(x11113,x11112))
% 225.14/225.12 [1112]~E(x11121,x11122)+E(f501(x11121,x11123,x11124,x11125,x11126),f501(x11122,x11123,x11124,x11125,x11126))
% 225.14/225.12 [1113]~E(x11131,x11132)+E(f501(x11133,x11131,x11134,x11135,x11136),f501(x11133,x11132,x11134,x11135,x11136))
% 225.14/225.12 [1114]~E(x11141,x11142)+E(f501(x11143,x11144,x11141,x11145,x11146),f501(x11143,x11144,x11142,x11145,x11146))
% 225.14/225.12 [1115]~E(x11151,x11152)+E(f501(x11153,x11154,x11155,x11151,x11156),f501(x11153,x11154,x11155,x11152,x11156))
% 225.14/225.12 [1116]~E(x11161,x11162)+E(f501(x11163,x11164,x11165,x11166,x11161),f501(x11163,x11164,x11165,x11166,x11162))
% 225.14/225.12 [1117]~E(x11171,x11172)+E(f838(x11171,x11173,x11174,x11175,x11176,x11177,x11178,x11179),f838(x11172,x11173,x11174,x11175,x11176,x11177,x11178,x11179))
% 225.14/225.12 [1118]~E(x11181,x11182)+E(f838(x11183,x11181,x11184,x11185,x11186,x11187,x11188,x11189),f838(x11183,x11182,x11184,x11185,x11186,x11187,x11188,x11189))
% 225.14/225.12 [1119]~E(x11191,x11192)+E(f838(x11193,x11194,x11191,x11195,x11196,x11197,x11198,x11199),f838(x11193,x11194,x11192,x11195,x11196,x11197,x11198,x11199))
% 225.14/225.12 [1120]~E(x11201,x11202)+E(f838(x11203,x11204,x11205,x11201,x11206,x11207,x11208,x11209),f838(x11203,x11204,x11205,x11202,x11206,x11207,x11208,x11209))
% 225.14/225.12 [1121]~E(x11211,x11212)+E(f838(x11213,x11214,x11215,x11216,x11211,x11217,x11218,x11219),f838(x11213,x11214,x11215,x11216,x11212,x11217,x11218,x11219))
% 225.14/225.12 [1122]~E(x11221,x11222)+E(f838(x11223,x11224,x11225,x11226,x11227,x11221,x11228,x11229),f838(x11223,x11224,x11225,x11226,x11227,x11222,x11228,x11229))
% 225.14/225.12 [1123]~E(x11231,x11232)+E(f838(x11233,x11234,x11235,x11236,x11237,x11238,x11231,x11239),f838(x11233,x11234,x11235,x11236,x11237,x11238,x11232,x11239))
% 225.14/225.12 [1124]~E(x11241,x11242)+E(f838(x11243,x11244,x11245,x11246,x11247,x11248,x11249,x11241),f838(x11243,x11244,x11245,x11246,x11247,x11248,x11249,x11242))
% 225.14/225.12 [1125]~E(x11251,x11252)+E(f530(x11251,x11253,x11254,x11255,x11256,x11257,x11258,x11259),f530(x11252,x11253,x11254,x11255,x11256,x11257,x11258,x11259))
% 225.14/225.12 [1126]~E(x11261,x11262)+E(f530(x11263,x11261,x11264,x11265,x11266,x11267,x11268,x11269),f530(x11263,x11262,x11264,x11265,x11266,x11267,x11268,x11269))
% 225.14/225.12 [1127]~E(x11271,x11272)+E(f530(x11273,x11274,x11271,x11275,x11276,x11277,x11278,x11279),f530(x11273,x11274,x11272,x11275,x11276,x11277,x11278,x11279))
% 225.14/225.12 [1128]~E(x11281,x11282)+E(f530(x11283,x11284,x11285,x11281,x11286,x11287,x11288,x11289),f530(x11283,x11284,x11285,x11282,x11286,x11287,x11288,x11289))
% 225.14/225.12 [1129]~E(x11291,x11292)+E(f530(x11293,x11294,x11295,x11296,x11291,x11297,x11298,x11299),f530(x11293,x11294,x11295,x11296,x11292,x11297,x11298,x11299))
% 225.14/225.12 [1130]~E(x11301,x11302)+E(f530(x11303,x11304,x11305,x11306,x11307,x11301,x11308,x11309),f530(x11303,x11304,x11305,x11306,x11307,x11302,x11308,x11309))
% 225.14/225.12 [1131]~E(x11311,x11312)+E(f530(x11313,x11314,x11315,x11316,x11317,x11318,x11311,x11319),f530(x11313,x11314,x11315,x11316,x11317,x11318,x11312,x11319))
% 225.14/225.12 [1132]~E(x11321,x11322)+E(f530(x11323,x11324,x11325,x11326,x11327,x11328,x11329,x11321),f530(x11323,x11324,x11325,x11326,x11327,x11328,x11329,x11322))
% 225.14/225.12 [1133]~E(x11331,x11332)+E(f363(x11331,x11333,x11334),f363(x11332,x11333,x11334))
% 225.14/225.12 [1134]~E(x11341,x11342)+E(f363(x11343,x11341,x11344),f363(x11343,x11342,x11344))
% 225.14/225.12 [1135]~E(x11351,x11352)+E(f363(x11353,x11354,x11351),f363(x11353,x11354,x11352))
% 225.14/225.12 [1136]~E(x11361,x11362)+E(f468(x11361,x11363,x11364),f468(x11362,x11363,x11364))
% 225.14/225.12 [1137]~E(x11371,x11372)+E(f468(x11373,x11371,x11374),f468(x11373,x11372,x11374))
% 225.14/225.12 [1138]~E(x11381,x11382)+E(f468(x11383,x11384,x11381),f468(x11383,x11384,x11382))
% 225.14/225.12 [1139]~E(x11391,x11392)+E(f685(x11391,x11393,x11394,x11395),f685(x11392,x11393,x11394,x11395))
% 225.14/225.12 [1140]~E(x11401,x11402)+E(f685(x11403,x11401,x11404,x11405),f685(x11403,x11402,x11404,x11405))
% 225.14/225.12 [1141]~E(x11411,x11412)+E(f685(x11413,x11414,x11411,x11415),f685(x11413,x11414,x11412,x11415))
% 225.14/225.12 [1142]~E(x11421,x11422)+E(f685(x11423,x11424,x11425,x11421),f685(x11423,x11424,x11425,x11422))
% 225.14/225.12 [1143]~E(x11431,x11432)+E(f303(x11431),f303(x11432))
% 225.14/225.12 [1144]~E(x11441,x11442)+E(f748(x11441,x11443,x11444,x11445,x11446,x11447,x11448),f748(x11442,x11443,x11444,x11445,x11446,x11447,x11448))
% 225.14/225.12 [1145]~E(x11451,x11452)+E(f748(x11453,x11451,x11454,x11455,x11456,x11457,x11458),f748(x11453,x11452,x11454,x11455,x11456,x11457,x11458))
% 225.14/225.12 [1146]~E(x11461,x11462)+E(f748(x11463,x11464,x11461,x11465,x11466,x11467,x11468),f748(x11463,x11464,x11462,x11465,x11466,x11467,x11468))
% 225.14/225.12 [1147]~E(x11471,x11472)+E(f748(x11473,x11474,x11475,x11471,x11476,x11477,x11478),f748(x11473,x11474,x11475,x11472,x11476,x11477,x11478))
% 225.14/225.12 [1148]~E(x11481,x11482)+E(f748(x11483,x11484,x11485,x11486,x11481,x11487,x11488),f748(x11483,x11484,x11485,x11486,x11482,x11487,x11488))
% 225.14/225.12 [1149]~E(x11491,x11492)+E(f748(x11493,x11494,x11495,x11496,x11497,x11491,x11498),f748(x11493,x11494,x11495,x11496,x11497,x11492,x11498))
% 225.14/225.12 [1150]~E(x11501,x11502)+E(f748(x11503,x11504,x11505,x11506,x11507,x11508,x11501),f748(x11503,x11504,x11505,x11506,x11507,x11508,x11502))
% 225.14/225.12 [1151]~E(x11511,x11512)+E(f781(x11511,x11513,x11514,x11515,x11516,x11517),f781(x11512,x11513,x11514,x11515,x11516,x11517))
% 225.14/225.12 [1152]~E(x11521,x11522)+E(f781(x11523,x11521,x11524,x11525,x11526,x11527),f781(x11523,x11522,x11524,x11525,x11526,x11527))
% 225.14/225.12 [1153]~E(x11531,x11532)+E(f781(x11533,x11534,x11531,x11535,x11536,x11537),f781(x11533,x11534,x11532,x11535,x11536,x11537))
% 225.14/225.12 [1154]~E(x11541,x11542)+E(f781(x11543,x11544,x11545,x11541,x11546,x11547),f781(x11543,x11544,x11545,x11542,x11546,x11547))
% 225.14/225.12 [1155]~E(x11551,x11552)+E(f781(x11553,x11554,x11555,x11556,x11551,x11557),f781(x11553,x11554,x11555,x11556,x11552,x11557))
% 225.14/225.12 [1156]~E(x11561,x11562)+E(f781(x11563,x11564,x11565,x11566,x11567,x11561),f781(x11563,x11564,x11565,x11566,x11567,x11562))
% 225.14/225.12 [1157]~E(x11571,x11572)+E(f413(x11571,x11573),f413(x11572,x11573))
% 225.14/225.12 [1158]~E(x11581,x11582)+E(f413(x11583,x11581),f413(x11583,x11582))
% 225.14/225.12 [1159]~E(x11591,x11592)+E(f810(x11591,x11593,x11594),f810(x11592,x11593,x11594))
% 225.14/225.12 [1160]~E(x11601,x11602)+E(f810(x11603,x11601,x11604),f810(x11603,x11602,x11604))
% 225.14/225.12 [1161]~E(x11611,x11612)+E(f810(x11613,x11614,x11611),f810(x11613,x11614,x11612))
% 225.14/225.12 [1162]~E(x11621,x11622)+E(f526(x11621,x11623,x11624,x11625,x11626),f526(x11622,x11623,x11624,x11625,x11626))
% 225.14/225.12 [1163]~E(x11631,x11632)+E(f526(x11633,x11631,x11634,x11635,x11636),f526(x11633,x11632,x11634,x11635,x11636))
% 225.14/225.12 [1164]~E(x11641,x11642)+E(f526(x11643,x11644,x11641,x11645,x11646),f526(x11643,x11644,x11642,x11645,x11646))
% 225.14/225.12 [1165]~E(x11651,x11652)+E(f526(x11653,x11654,x11655,x11651,x11656),f526(x11653,x11654,x11655,x11652,x11656))
% 225.14/225.12 [1166]~E(x11661,x11662)+E(f526(x11663,x11664,x11665,x11666,x11661),f526(x11663,x11664,x11665,x11666,x11662))
% 225.14/225.12 [1167]~E(x11671,x11672)+E(f864(x11671,x11673,x11674,x11675),f864(x11672,x11673,x11674,x11675))
% 225.14/225.12 [1168]~E(x11681,x11682)+E(f864(x11683,x11681,x11684,x11685),f864(x11683,x11682,x11684,x11685))
% 225.14/225.12 [1169]~E(x11691,x11692)+E(f864(x11693,x11694,x11691,x11695),f864(x11693,x11694,x11692,x11695))
% 225.14/225.12 [1170]~E(x11701,x11702)+E(f864(x11703,x11704,x11705,x11701),f864(x11703,x11704,x11705,x11702))
% 225.14/225.12 [1171]~E(x11711,x11712)+E(f351(x11711,x11713,x11714),f351(x11712,x11713,x11714))
% 225.14/225.12 [1172]~E(x11721,x11722)+E(f351(x11723,x11721,x11724),f351(x11723,x11722,x11724))
% 225.14/225.12 [1173]~E(x11731,x11732)+E(f351(x11733,x11734,x11731),f351(x11733,x11734,x11732))
% 225.14/225.12 [1174]~E(x11741,x11742)+E(f814(x11741,x11743,x11744,x11745,x11746,x11747),f814(x11742,x11743,x11744,x11745,x11746,x11747))
% 225.14/225.12 [1175]~E(x11751,x11752)+E(f814(x11753,x11751,x11754,x11755,x11756,x11757),f814(x11753,x11752,x11754,x11755,x11756,x11757))
% 225.14/225.12 [1176]~E(x11761,x11762)+E(f814(x11763,x11764,x11761,x11765,x11766,x11767),f814(x11763,x11764,x11762,x11765,x11766,x11767))
% 225.14/225.12 [1177]~E(x11771,x11772)+E(f814(x11773,x11774,x11775,x11771,x11776,x11777),f814(x11773,x11774,x11775,x11772,x11776,x11777))
% 225.14/225.12 [1178]~E(x11781,x11782)+E(f814(x11783,x11784,x11785,x11786,x11781,x11787),f814(x11783,x11784,x11785,x11786,x11782,x11787))
% 225.14/225.12 [1179]~E(x11791,x11792)+E(f814(x11793,x11794,x11795,x11796,x11797,x11791),f814(x11793,x11794,x11795,x11796,x11797,x11792))
% 225.14/225.12 [1180]~E(x11801,x11802)+E(f650(x11801,x11803,x11804,x11805),f650(x11802,x11803,x11804,x11805))
% 225.14/225.12 [1181]~E(x11811,x11812)+E(f650(x11813,x11811,x11814,x11815),f650(x11813,x11812,x11814,x11815))
% 225.14/225.12 [1182]~E(x11821,x11822)+E(f650(x11823,x11824,x11821,x11825),f650(x11823,x11824,x11822,x11825))
% 225.14/225.12 [1183]~E(x11831,x11832)+E(f650(x11833,x11834,x11835,x11831),f650(x11833,x11834,x11835,x11832))
% 225.14/225.12 [1184]~E(x11841,x11842)+E(f332(x11841),f332(x11842))
% 225.14/225.12 [1185]~E(x11851,x11852)+E(f447(x11851,x11853,x11854),f447(x11852,x11853,x11854))
% 225.14/225.12 [1186]~E(x11861,x11862)+E(f447(x11863,x11861,x11864),f447(x11863,x11862,x11864))
% 225.14/225.12 [1187]~E(x11871,x11872)+E(f447(x11873,x11874,x11871),f447(x11873,x11874,x11872))
% 225.14/225.12 [1188]~E(x11881,x11882)+E(f840(x11881,x11883,x11884,x11885,x11886,x11887,x11888,x11889),f840(x11882,x11883,x11884,x11885,x11886,x11887,x11888,x11889))
% 225.14/225.12 [1189]~E(x11891,x11892)+E(f840(x11893,x11891,x11894,x11895,x11896,x11897,x11898,x11899),f840(x11893,x11892,x11894,x11895,x11896,x11897,x11898,x11899))
% 225.14/225.12 [1190]~E(x11901,x11902)+E(f840(x11903,x11904,x11901,x11905,x11906,x11907,x11908,x11909),f840(x11903,x11904,x11902,x11905,x11906,x11907,x11908,x11909))
% 225.14/225.12 [1191]~E(x11911,x11912)+E(f840(x11913,x11914,x11915,x11911,x11916,x11917,x11918,x11919),f840(x11913,x11914,x11915,x11912,x11916,x11917,x11918,x11919))
% 225.14/225.12 [1192]~E(x11921,x11922)+E(f840(x11923,x11924,x11925,x11926,x11921,x11927,x11928,x11929),f840(x11923,x11924,x11925,x11926,x11922,x11927,x11928,x11929))
% 225.14/225.12 [1193]~E(x11931,x11932)+E(f840(x11933,x11934,x11935,x11936,x11937,x11931,x11938,x11939),f840(x11933,x11934,x11935,x11936,x11937,x11932,x11938,x11939))
% 225.14/225.12 [1194]~E(x11941,x11942)+E(f840(x11943,x11944,x11945,x11946,x11947,x11948,x11941,x11949),f840(x11943,x11944,x11945,x11946,x11947,x11948,x11942,x11949))
% 225.14/225.12 [1195]~E(x11951,x11952)+E(f840(x11953,x11954,x11955,x11956,x11957,x11958,x11959,x11951),f840(x11953,x11954,x11955,x11956,x11957,x11958,x11959,x11952))
% 225.14/225.12 [1196]~E(x11961,x11962)+E(f23(x11961,x11963),f23(x11962,x11963))
% 225.14/225.12 [1197]~E(x11971,x11972)+E(f23(x11973,x11971),f23(x11973,x11972))
% 225.14/225.12 [1198]~E(x11981,x11982)+E(f831(x11981,x11983,x11984),f831(x11982,x11983,x11984))
% 225.14/225.12 [1199]~E(x11991,x11992)+E(f831(x11993,x11991,x11994),f831(x11993,x11992,x11994))
% 225.14/225.12 [1200]~E(x12001,x12002)+E(f831(x12003,x12004,x12001),f831(x12003,x12004,x12002))
% 225.14/225.12 [1201]~E(x12011,x12012)+E(f751(x12011,x12013,x12014),f751(x12012,x12013,x12014))
% 225.14/225.12 [1202]~E(x12021,x12022)+E(f751(x12023,x12021,x12024),f751(x12023,x12022,x12024))
% 225.14/225.12 [1203]~E(x12031,x12032)+E(f751(x12033,x12034,x12031),f751(x12033,x12034,x12032))
% 225.14/225.12 [1204]~E(x12041,x12042)+E(f897(x12041),f897(x12042))
% 225.14/225.12 [1205]~E(x12051,x12052)+E(f490(x12051,x12053,x12054),f490(x12052,x12053,x12054))
% 225.14/225.12 [1206]~E(x12061,x12062)+E(f490(x12063,x12061,x12064),f490(x12063,x12062,x12064))
% 225.14/225.12 [1207]~E(x12071,x12072)+E(f490(x12073,x12074,x12071),f490(x12073,x12074,x12072))
% 225.14/225.12 [1208]~E(x12081,x12082)+E(f436(x12081,x12083),f436(x12082,x12083))
% 225.14/225.12 [1209]~E(x12091,x12092)+E(f436(x12093,x12091),f436(x12093,x12092))
% 225.14/225.12 [1210]~E(x12101,x12102)+E(f411(x12101,x12103,x12104),f411(x12102,x12103,x12104))
% 225.14/225.12 [1211]~E(x12111,x12112)+E(f411(x12113,x12111,x12114),f411(x12113,x12112,x12114))
% 225.14/225.12 [1212]~E(x12121,x12122)+E(f411(x12123,x12124,x12121),f411(x12123,x12124,x12122))
% 225.14/225.12 [1213]~E(x12131,x12132)+E(f49(x12131,x12133),f49(x12132,x12133))
% 225.14/225.12 [1214]~E(x12141,x12142)+E(f49(x12143,x12141),f49(x12143,x12142))
% 225.14/225.12 [1215]~E(x12151,x12152)+E(f765(x12151,x12153,x12154),f765(x12152,x12153,x12154))
% 225.14/225.12 [1216]~E(x12161,x12162)+E(f765(x12163,x12161,x12164),f765(x12163,x12162,x12164))
% 225.14/225.12 [1217]~E(x12171,x12172)+E(f765(x12173,x12174,x12171),f765(x12173,x12174,x12172))
% 225.14/225.12 [1218]~E(x12181,x12182)+E(f443(x12181,x12183,x12184),f443(x12182,x12183,x12184))
% 225.14/225.12 [1219]~E(x12191,x12192)+E(f443(x12193,x12191,x12194),f443(x12193,x12192,x12194))
% 225.14/225.12 [1220]~E(x12201,x12202)+E(f443(x12203,x12204,x12201),f443(x12203,x12204,x12202))
% 225.14/225.12 [1221]~E(x12211,x12212)+E(f53(x12211,x12213),f53(x12212,x12213))
% 225.14/225.12 [1222]~E(x12221,x12222)+E(f53(x12223,x12221),f53(x12223,x12222))
% 225.14/225.12 [1223]~E(x12231,x12232)+E(f754(x12231,x12233,x12234),f754(x12232,x12233,x12234))
% 225.14/225.12 [1224]~E(x12241,x12242)+E(f754(x12243,x12241,x12244),f754(x12243,x12242,x12244))
% 225.14/225.12 [1225]~E(x12251,x12252)+E(f754(x12253,x12254,x12251),f754(x12253,x12254,x12252))
% 225.14/225.12 [1226]~E(x12261,x12262)+E(f370(x12261,x12263),f370(x12262,x12263))
% 225.14/225.12 [1227]~E(x12271,x12272)+E(f370(x12273,x12271),f370(x12273,x12272))
% 225.14/225.12 [1228]~E(x12281,x12282)+E(f425(x12281,x12283,x12284,x12285),f425(x12282,x12283,x12284,x12285))
% 225.14/225.12 [1229]~E(x12291,x12292)+E(f425(x12293,x12291,x12294,x12295),f425(x12293,x12292,x12294,x12295))
% 225.14/225.12 [1230]~E(x12301,x12302)+E(f425(x12303,x12304,x12301,x12305),f425(x12303,x12304,x12302,x12305))
% 225.14/225.12 [1231]~E(x12311,x12312)+E(f425(x12313,x12314,x12315,x12311),f425(x12313,x12314,x12315,x12312))
% 225.14/225.12 [1232]~E(x12321,x12322)+E(f199(x12321,x12323),f199(x12322,x12323))
% 225.14/225.12 [1233]~E(x12331,x12332)+E(f199(x12333,x12331),f199(x12333,x12332))
% 225.14/225.12 [1234]~E(x12341,x12342)+E(f895(x12341),f895(x12342))
% 225.14/225.12 [1235]~E(x12351,x12352)+E(f129(x12351),f129(x12352))
% 225.14/225.12 [1236]~E(x12361,x12362)+E(f87(x12361),f87(x12362))
% 225.14/225.12 [1237]~E(x12371,x12372)+E(f347(x12371,x12373,x12374),f347(x12372,x12373,x12374))
% 225.14/225.12 [1238]~E(x12381,x12382)+E(f347(x12383,x12381,x12384),f347(x12383,x12382,x12384))
% 225.14/225.12 [1239]~E(x12391,x12392)+E(f347(x12393,x12394,x12391),f347(x12393,x12394,x12392))
% 225.14/225.12 [1240]~E(x12401,x12402)+E(f388(x12401,x12403,x12404),f388(x12402,x12403,x12404))
% 225.14/225.12 [1241]~E(x12411,x12412)+E(f388(x12413,x12411,x12414),f388(x12413,x12412,x12414))
% 225.14/225.12 [1242]~E(x12421,x12422)+E(f388(x12423,x12424,x12421),f388(x12423,x12424,x12422))
% 225.14/225.12 [1243]~E(x12431,x12432)+E(f833(x12431,x12433,x12434,x12435),f833(x12432,x12433,x12434,x12435))
% 225.14/225.12 [1244]~E(x12441,x12442)+E(f833(x12443,x12441,x12444,x12445),f833(x12443,x12442,x12444,x12445))
% 225.14/225.12 [1245]~E(x12451,x12452)+E(f833(x12453,x12454,x12451,x12455),f833(x12453,x12454,x12452,x12455))
% 225.14/225.12 [1246]~E(x12461,x12462)+E(f833(x12463,x12464,x12465,x12461),f833(x12463,x12464,x12465,x12462))
% 225.14/225.12 [1247]~E(x12471,x12472)+E(f345(x12471,x12473),f345(x12472,x12473))
% 225.14/225.12 [1248]~E(x12481,x12482)+E(f345(x12483,x12481),f345(x12483,x12482))
% 225.14/225.12 [1249]~E(x12491,x12492)+E(f184(x12491,x12493,x12494),f184(x12492,x12493,x12494))
% 225.14/225.12 [1250]~E(x12501,x12502)+E(f184(x12503,x12501,x12504),f184(x12503,x12502,x12504))
% 225.14/225.12 [1251]~E(x12511,x12512)+E(f184(x12513,x12514,x12511),f184(x12513,x12514,x12512))
% 225.14/225.12 [1252]~E(x12521,x12522)+E(f865(x12521,x12523,x12524),f865(x12522,x12523,x12524))
% 225.14/225.12 [1253]~E(x12531,x12532)+E(f865(x12533,x12531,x12534),f865(x12533,x12532,x12534))
% 225.14/225.12 [1254]~E(x12541,x12542)+E(f865(x12543,x12544,x12541),f865(x12543,x12544,x12542))
% 225.14/225.12 [1255]~E(x12551,x12552)+E(f395(x12551,x12553,x12554),f395(x12552,x12553,x12554))
% 225.14/225.12 [1256]~E(x12561,x12562)+E(f395(x12563,x12561,x12564),f395(x12563,x12562,x12564))
% 225.14/225.12 [1257]~E(x12571,x12572)+E(f395(x12573,x12574,x12571),f395(x12573,x12574,x12572))
% 225.14/225.12 [1258]~E(x12581,x12582)+E(f764(x12581,x12583,x12584),f764(x12582,x12583,x12584))
% 225.14/225.12 [1259]~E(x12591,x12592)+E(f764(x12593,x12591,x12594),f764(x12593,x12592,x12594))
% 225.14/225.12 [1260]~E(x12601,x12602)+E(f764(x12603,x12604,x12601),f764(x12603,x12604,x12602))
% 225.14/225.12 [1261]~E(x12611,x12612)+E(f779(x12611,x12613,x12614,x12615),f779(x12612,x12613,x12614,x12615))
% 225.14/225.12 [1262]~E(x12621,x12622)+E(f779(x12623,x12621,x12624,x12625),f779(x12623,x12622,x12624,x12625))
% 225.14/225.12 [1263]~E(x12631,x12632)+E(f779(x12633,x12634,x12631,x12635),f779(x12633,x12634,x12632,x12635))
% 225.14/225.12 [1264]~E(x12641,x12642)+E(f779(x12643,x12644,x12645,x12641),f779(x12643,x12644,x12645,x12642))
% 225.14/225.12 [1265]~E(x12651,x12652)+E(f365(x12651,x12653,x12654),f365(x12652,x12653,x12654))
% 225.14/225.12 [1266]~E(x12661,x12662)+E(f365(x12663,x12661,x12664),f365(x12663,x12662,x12664))
% 225.14/225.12 [1267]~E(x12671,x12672)+E(f365(x12673,x12674,x12671),f365(x12673,x12674,x12672))
% 225.14/225.12 [1268]~E(x12681,x12682)+E(f389(x12681,x12683,x12684),f389(x12682,x12683,x12684))
% 225.14/225.12 [1269]~E(x12691,x12692)+E(f389(x12693,x12691,x12694),f389(x12693,x12692,x12694))
% 225.14/225.12 [1270]~E(x12701,x12702)+E(f389(x12703,x12704,x12701),f389(x12703,x12704,x12702))
% 225.14/225.12 [1271]~E(x12711,x12712)+E(f632(x12711,x12713,x12714,x12715,x12716),f632(x12712,x12713,x12714,x12715,x12716))
% 225.14/225.12 [1272]~E(x12721,x12722)+E(f632(x12723,x12721,x12724,x12725,x12726),f632(x12723,x12722,x12724,x12725,x12726))
% 225.14/225.12 [1273]~E(x12731,x12732)+E(f632(x12733,x12734,x12731,x12735,x12736),f632(x12733,x12734,x12732,x12735,x12736))
% 225.14/225.12 [1274]~E(x12741,x12742)+E(f632(x12743,x12744,x12745,x12741,x12746),f632(x12743,x12744,x12745,x12742,x12746))
% 225.14/225.12 [1275]~E(x12751,x12752)+E(f632(x12753,x12754,x12755,x12756,x12751),f632(x12753,x12754,x12755,x12756,x12752))
% 225.14/225.12 [1276]~E(x12761,x12762)+E(f173(x12761,x12763,x12764),f173(x12762,x12763,x12764))
% 225.14/225.12 [1277]~E(x12771,x12772)+E(f173(x12773,x12771,x12774),f173(x12773,x12772,x12774))
% 225.14/225.12 [1278]~E(x12781,x12782)+E(f173(x12783,x12784,x12781),f173(x12783,x12784,x12782))
% 225.14/225.12 [1279]~E(x12791,x12792)+E(f704(x12791,x12793,x12794),f704(x12792,x12793,x12794))
% 225.14/225.12 [1280]~E(x12801,x12802)+E(f704(x12803,x12801,x12804),f704(x12803,x12802,x12804))
% 225.14/225.12 [1281]~E(x12811,x12812)+E(f704(x12813,x12814,x12811),f704(x12813,x12814,x12812))
% 225.14/225.12 [1282]~E(x12821,x12822)+E(f475(x12821,x12823,x12824),f475(x12822,x12823,x12824))
% 225.14/225.12 [1283]~E(x12831,x12832)+E(f475(x12833,x12831,x12834),f475(x12833,x12832,x12834))
% 225.14/225.12 [1284]~E(x12841,x12842)+E(f475(x12843,x12844,x12841),f475(x12843,x12844,x12842))
% 225.14/225.12 [1285]~E(x12851,x12852)+E(f624(x12851,x12853,x12854),f624(x12852,x12853,x12854))
% 225.14/225.12 [1286]~E(x12861,x12862)+E(f624(x12863,x12861,x12864),f624(x12863,x12862,x12864))
% 225.14/225.12 [1287]~E(x12871,x12872)+E(f624(x12873,x12874,x12871),f624(x12873,x12874,x12872))
% 225.14/225.12 [1288]~E(x12881,x12882)+E(f724(x12881,x12883,x12884,x12885),f724(x12882,x12883,x12884,x12885))
% 225.14/225.12 [1289]~E(x12891,x12892)+E(f724(x12893,x12891,x12894,x12895),f724(x12893,x12892,x12894,x12895))
% 225.14/225.12 [1290]~E(x12901,x12902)+E(f724(x12903,x12904,x12901,x12905),f724(x12903,x12904,x12902,x12905))
% 225.14/225.12 [1291]~E(x12911,x12912)+E(f724(x12913,x12914,x12915,x12911),f724(x12913,x12914,x12915,x12912))
% 225.14/225.12 [1292]~E(x12921,x12922)+E(f883(x12921,x12923,x12924,x12925,x12926,x12927,x12928),f883(x12922,x12923,x12924,x12925,x12926,x12927,x12928))
% 225.14/225.12 [1293]~E(x12931,x12932)+E(f883(x12933,x12931,x12934,x12935,x12936,x12937,x12938),f883(x12933,x12932,x12934,x12935,x12936,x12937,x12938))
% 225.14/225.12 [1294]~E(x12941,x12942)+E(f883(x12943,x12944,x12941,x12945,x12946,x12947,x12948),f883(x12943,x12944,x12942,x12945,x12946,x12947,x12948))
% 225.14/225.12 [1295]~E(x12951,x12952)+E(f883(x12953,x12954,x12955,x12951,x12956,x12957,x12958),f883(x12953,x12954,x12955,x12952,x12956,x12957,x12958))
% 225.14/225.12 [1296]~E(x12961,x12962)+E(f883(x12963,x12964,x12965,x12966,x12961,x12967,x12968),f883(x12963,x12964,x12965,x12966,x12962,x12967,x12968))
% 225.14/225.12 [1297]~E(x12971,x12972)+E(f883(x12973,x12974,x12975,x12976,x12977,x12971,x12978),f883(x12973,x12974,x12975,x12976,x12977,x12972,x12978))
% 225.14/225.12 [1298]~E(x12981,x12982)+E(f883(x12983,x12984,x12985,x12986,x12987,x12988,x12981),f883(x12983,x12984,x12985,x12986,x12987,x12988,x12982))
% 225.14/225.12 [1299]~E(x12991,x12992)+E(f330(x12991,x12993,x12994,x12995),f330(x12992,x12993,x12994,x12995))
% 225.14/225.12 [1300]~E(x13001,x13002)+E(f330(x13003,x13001,x13004,x13005),f330(x13003,x13002,x13004,x13005))
% 225.14/225.12 [1301]~E(x13011,x13012)+E(f330(x13013,x13014,x13011,x13015),f330(x13013,x13014,x13012,x13015))
% 225.14/225.12 [1302]~E(x13021,x13022)+E(f330(x13023,x13024,x13025,x13021),f330(x13023,x13024,x13025,x13022))
% 225.14/225.12 [1303]~E(x13031,x13032)+E(f476(x13031,x13033,x13034,x13035),f476(x13032,x13033,x13034,x13035))
% 225.14/225.12 [1304]~E(x13041,x13042)+E(f476(x13043,x13041,x13044,x13045),f476(x13043,x13042,x13044,x13045))
% 225.14/225.12 [1305]~E(x13051,x13052)+E(f476(x13053,x13054,x13051,x13055),f476(x13053,x13054,x13052,x13055))
% 225.14/225.12 [1306]~E(x13061,x13062)+E(f476(x13063,x13064,x13065,x13061),f476(x13063,x13064,x13065,x13062))
% 225.14/225.12 [1307]~E(x13071,x13072)+E(f230(x13071,x13073,x13074),f230(x13072,x13073,x13074))
% 225.14/225.12 [1308]~E(x13081,x13082)+E(f230(x13083,x13081,x13084),f230(x13083,x13082,x13084))
% 225.14/225.12 [1309]~E(x13091,x13092)+E(f230(x13093,x13094,x13091),f230(x13093,x13094,x13092))
% 225.14/225.12 [1310]~E(x13101,x13102)+E(f670(x13101,x13103,x13104,x13105),f670(x13102,x13103,x13104,x13105))
% 225.14/225.12 [1311]~E(x13111,x13112)+E(f670(x13113,x13111,x13114,x13115),f670(x13113,x13112,x13114,x13115))
% 225.14/225.12 [1312]~E(x13121,x13122)+E(f670(x13123,x13124,x13121,x13125),f670(x13123,x13124,x13122,x13125))
% 225.14/225.12 [1313]~E(x13131,x13132)+E(f670(x13133,x13134,x13135,x13131),f670(x13133,x13134,x13135,x13132))
% 225.14/225.12 [1314]~E(x13141,x13142)+E(f841(x13141,x13143,x13144,x13145,x13146,x13147,x13148,x13149),f841(x13142,x13143,x13144,x13145,x13146,x13147,x13148,x13149))
% 225.14/225.12 [1315]~E(x13151,x13152)+E(f841(x13153,x13151,x13154,x13155,x13156,x13157,x13158,x13159),f841(x13153,x13152,x13154,x13155,x13156,x13157,x13158,x13159))
% 225.14/225.12 [1316]~E(x13161,x13162)+E(f841(x13163,x13164,x13161,x13165,x13166,x13167,x13168,x13169),f841(x13163,x13164,x13162,x13165,x13166,x13167,x13168,x13169))
% 225.14/225.12 [1317]~E(x13171,x13172)+E(f841(x13173,x13174,x13175,x13171,x13176,x13177,x13178,x13179),f841(x13173,x13174,x13175,x13172,x13176,x13177,x13178,x13179))
% 225.14/225.12 [1318]~E(x13181,x13182)+E(f841(x13183,x13184,x13185,x13186,x13181,x13187,x13188,x13189),f841(x13183,x13184,x13185,x13186,x13182,x13187,x13188,x13189))
% 225.14/225.12 [1319]~E(x13191,x13192)+E(f841(x13193,x13194,x13195,x13196,x13197,x13191,x13198,x13199),f841(x13193,x13194,x13195,x13196,x13197,x13192,x13198,x13199))
% 225.14/225.12 [1320]~E(x13201,x13202)+E(f841(x13203,x13204,x13205,x13206,x13207,x13208,x13201,x13209),f841(x13203,x13204,x13205,x13206,x13207,x13208,x13202,x13209))
% 225.14/225.12 [1321]~E(x13211,x13212)+E(f841(x13213,x13214,x13215,x13216,x13217,x13218,x13219,x13211),f841(x13213,x13214,x13215,x13216,x13217,x13218,x13219,x13212))
% 225.14/225.12 [1322]~E(x13221,x13222)+E(f592(x13221,x13223,x13224,x13225,x13226,x13227),f592(x13222,x13223,x13224,x13225,x13226,x13227))
% 225.14/225.12 [1323]~E(x13231,x13232)+E(f592(x13233,x13231,x13234,x13235,x13236,x13237),f592(x13233,x13232,x13234,x13235,x13236,x13237))
% 225.14/225.12 [1324]~E(x13241,x13242)+E(f592(x13243,x13244,x13241,x13245,x13246,x13247),f592(x13243,x13244,x13242,x13245,x13246,x13247))
% 225.14/225.12 [1325]~E(x13251,x13252)+E(f592(x13253,x13254,x13255,x13251,x13256,x13257),f592(x13253,x13254,x13255,x13252,x13256,x13257))
% 225.14/225.12 [1326]~E(x13261,x13262)+E(f592(x13263,x13264,x13265,x13266,x13261,x13267),f592(x13263,x13264,x13265,x13266,x13262,x13267))
% 225.14/225.12 [1327]~E(x13271,x13272)+E(f592(x13273,x13274,x13275,x13276,x13277,x13271),f592(x13273,x13274,x13275,x13276,x13277,x13272))
% 225.14/225.12 [1328]~E(x13281,x13282)+E(f597(x13281,x13283,x13284,x13285,x13286,x13287,x13288,x13289),f597(x13282,x13283,x13284,x13285,x13286,x13287,x13288,x13289))
% 225.14/225.12 [1329]~E(x13291,x13292)+E(f597(x13293,x13291,x13294,x13295,x13296,x13297,x13298,x13299),f597(x13293,x13292,x13294,x13295,x13296,x13297,x13298,x13299))
% 225.14/225.12 [1330]~E(x13301,x13302)+E(f597(x13303,x13304,x13301,x13305,x13306,x13307,x13308,x13309),f597(x13303,x13304,x13302,x13305,x13306,x13307,x13308,x13309))
% 225.14/225.12 [1331]~E(x13311,x13312)+E(f597(x13313,x13314,x13315,x13311,x13316,x13317,x13318,x13319),f597(x13313,x13314,x13315,x13312,x13316,x13317,x13318,x13319))
% 225.14/225.12 [1332]~E(x13321,x13322)+E(f597(x13323,x13324,x13325,x13326,x13321,x13327,x13328,x13329),f597(x13323,x13324,x13325,x13326,x13322,x13327,x13328,x13329))
% 225.14/225.12 [1333]~E(x13331,x13332)+E(f597(x13333,x13334,x13335,x13336,x13337,x13331,x13338,x13339),f597(x13333,x13334,x13335,x13336,x13337,x13332,x13338,x13339))
% 225.14/225.12 [1334]~E(x13341,x13342)+E(f597(x13343,x13344,x13345,x13346,x13347,x13348,x13341,x13349),f597(x13343,x13344,x13345,x13346,x13347,x13348,x13342,x13349))
% 225.14/225.12 [1335]~E(x13351,x13352)+E(f597(x13353,x13354,x13355,x13356,x13357,x13358,x13359,x13351),f597(x13353,x13354,x13355,x13356,x13357,x13358,x13359,x13352))
% 225.14/225.12 [1336]~E(x13361,x13362)+E(f826(x13361,x13363,x13364,x13365,x13366,x13367),f826(x13362,x13363,x13364,x13365,x13366,x13367))
% 225.14/225.12 [1337]~E(x13371,x13372)+E(f826(x13373,x13371,x13374,x13375,x13376,x13377),f826(x13373,x13372,x13374,x13375,x13376,x13377))
% 225.14/225.12 [1338]~E(x13381,x13382)+E(f826(x13383,x13384,x13381,x13385,x13386,x13387),f826(x13383,x13384,x13382,x13385,x13386,x13387))
% 225.14/225.12 [1339]~E(x13391,x13392)+E(f826(x13393,x13394,x13395,x13391,x13396,x13397),f826(x13393,x13394,x13395,x13392,x13396,x13397))
% 225.14/225.12 [1340]~E(x13401,x13402)+E(f826(x13403,x13404,x13405,x13406,x13401,x13407),f826(x13403,x13404,x13405,x13406,x13402,x13407))
% 225.14/225.12 [1341]~E(x13411,x13412)+E(f826(x13413,x13414,x13415,x13416,x13417,x13411),f826(x13413,x13414,x13415,x13416,x13417,x13412))
% 225.14/225.12 [1342]~E(x13421,x13422)+E(f649(x13421,x13423,x13424,x13425,x13426,x13427),f649(x13422,x13423,x13424,x13425,x13426,x13427))
% 225.14/225.12 [1343]~E(x13431,x13432)+E(f649(x13433,x13431,x13434,x13435,x13436,x13437),f649(x13433,x13432,x13434,x13435,x13436,x13437))
% 225.14/225.12 [1344]~E(x13441,x13442)+E(f649(x13443,x13444,x13441,x13445,x13446,x13447),f649(x13443,x13444,x13442,x13445,x13446,x13447))
% 225.14/225.12 [1345]~E(x13451,x13452)+E(f649(x13453,x13454,x13455,x13451,x13456,x13457),f649(x13453,x13454,x13455,x13452,x13456,x13457))
% 225.14/225.12 [1346]~E(x13461,x13462)+E(f649(x13463,x13464,x13465,x13466,x13461,x13467),f649(x13463,x13464,x13465,x13466,x13462,x13467))
% 225.14/225.12 [1347]~E(x13471,x13472)+E(f649(x13473,x13474,x13475,x13476,x13477,x13471),f649(x13473,x13474,x13475,x13476,x13477,x13472))
% 225.14/225.12 [1348]~E(x13481,x13482)+E(f406(x13481,x13483,x13484,x13485),f406(x13482,x13483,x13484,x13485))
% 225.14/225.12 [1349]~E(x13491,x13492)+E(f406(x13493,x13491,x13494,x13495),f406(x13493,x13492,x13494,x13495))
% 225.14/225.12 [1350]~E(x13501,x13502)+E(f406(x13503,x13504,x13501,x13505),f406(x13503,x13504,x13502,x13505))
% 225.14/225.12 [1351]~E(x13511,x13512)+E(f406(x13513,x13514,x13515,x13511),f406(x13513,x13514,x13515,x13512))
% 225.14/225.12 [1352]~E(x13521,x13522)+E(f898(x13521),f898(x13522))
% 225.14/225.12 [1353]~E(x13531,x13532)+E(f259(x13531,x13533,x13534,x13535,x13536),f259(x13532,x13533,x13534,x13535,x13536))
% 225.14/225.12 [1354]~E(x13541,x13542)+E(f259(x13543,x13541,x13544,x13545,x13546),f259(x13543,x13542,x13544,x13545,x13546))
% 225.14/225.12 [1355]~E(x13551,x13552)+E(f259(x13553,x13554,x13551,x13555,x13556),f259(x13553,x13554,x13552,x13555,x13556))
% 225.14/225.12 [1356]~E(x13561,x13562)+E(f259(x13563,x13564,x13565,x13561,x13566),f259(x13563,x13564,x13565,x13562,x13566))
% 225.14/225.12 [1357]~E(x13571,x13572)+E(f259(x13573,x13574,x13575,x13576,x13571),f259(x13573,x13574,x13575,x13576,x13572))
% 225.14/225.12 [1358]~E(x13581,x13582)+E(f66(x13581,x13583,x13584),f66(x13582,x13583,x13584))
% 225.14/225.12 [1359]~E(x13591,x13592)+E(f66(x13593,x13591,x13594),f66(x13593,x13592,x13594))
% 225.14/225.12 [1360]~E(x13601,x13602)+E(f66(x13603,x13604,x13601),f66(x13603,x13604,x13602))
% 225.14/225.12 [1361]~E(x13611,x13612)+E(f54(x13611,x13613,x13614),f54(x13612,x13613,x13614))
% 225.14/225.12 [1362]~E(x13621,x13622)+E(f54(x13623,x13621,x13624),f54(x13623,x13622,x13624))
% 225.14/225.12 [1363]~E(x13631,x13632)+E(f54(x13633,x13634,x13631),f54(x13633,x13634,x13632))
% 225.14/225.12 [1364]~E(x13641,x13642)+E(f196(x13641,x13643,x13644,x13645),f196(x13642,x13643,x13644,x13645))
% 225.14/225.12 [1365]~E(x13651,x13652)+E(f196(x13653,x13651,x13654,x13655),f196(x13653,x13652,x13654,x13655))
% 225.14/225.12 [1366]~E(x13661,x13662)+E(f196(x13663,x13664,x13661,x13665),f196(x13663,x13664,x13662,x13665))
% 225.14/225.12 [1367]~E(x13671,x13672)+E(f196(x13673,x13674,x13675,x13671),f196(x13673,x13674,x13675,x13672))
% 225.14/225.12 [1368]~E(x13681,x13682)+E(f523(x13681,x13683,x13684),f523(x13682,x13683,x13684))
% 225.14/225.12 [1369]~E(x13691,x13692)+E(f523(x13693,x13691,x13694),f523(x13693,x13692,x13694))
% 225.14/225.12 [1370]~E(x13701,x13702)+E(f523(x13703,x13704,x13701),f523(x13703,x13704,x13702))
% 225.14/225.12 [1371]~E(x13711,x13712)+E(f439(x13711,x13713),f439(x13712,x13713))
% 225.14/225.12 [1372]~E(x13721,x13722)+E(f439(x13723,x13721),f439(x13723,x13722))
% 225.14/225.12 [1373]~E(x13731,x13732)+E(f605(x13731,x13733,x13734),f605(x13732,x13733,x13734))
% 225.14/225.12 [1374]~E(x13741,x13742)+E(f605(x13743,x13741,x13744),f605(x13743,x13742,x13744))
% 225.14/225.12 [1375]~E(x13751,x13752)+E(f605(x13753,x13754,x13751),f605(x13753,x13754,x13752))
% 225.14/225.12 [1376]~E(x13761,x13762)+E(f618(x13761,x13763,x13764),f618(x13762,x13763,x13764))
% 225.14/225.12 [1377]~E(x13771,x13772)+E(f618(x13773,x13771,x13774),f618(x13773,x13772,x13774))
% 225.14/225.12 [1378]~E(x13781,x13782)+E(f618(x13783,x13784,x13781),f618(x13783,x13784,x13782))
% 225.14/225.12 [1379]~E(x13791,x13792)+E(f465(x13791,x13793,x13794),f465(x13792,x13793,x13794))
% 225.14/225.12 [1380]~E(x13801,x13802)+E(f465(x13803,x13801,x13804),f465(x13803,x13802,x13804))
% 225.14/225.12 [1381]~E(x13811,x13812)+E(f465(x13813,x13814,x13811),f465(x13813,x13814,x13812))
% 225.14/225.12 [1382]~E(x13821,x13822)+E(f455(x13821,x13823,x13824,x13825,x13826),f455(x13822,x13823,x13824,x13825,x13826))
% 225.14/225.12 [1383]~E(x13831,x13832)+E(f455(x13833,x13831,x13834,x13835,x13836),f455(x13833,x13832,x13834,x13835,x13836))
% 225.14/225.12 [1384]~E(x13841,x13842)+E(f455(x13843,x13844,x13841,x13845,x13846),f455(x13843,x13844,x13842,x13845,x13846))
% 225.14/225.12 [1385]~E(x13851,x13852)+E(f455(x13853,x13854,x13855,x13851,x13856),f455(x13853,x13854,x13855,x13852,x13856))
% 225.14/225.12 [1386]~E(x13861,x13862)+E(f455(x13863,x13864,x13865,x13866,x13861),f455(x13863,x13864,x13865,x13866,x13862))
% 225.14/225.12 [1387]~E(x13871,x13872)+E(f311(x13871,x13873),f311(x13872,x13873))
% 225.14/225.12 [1388]~E(x13881,x13882)+E(f311(x13883,x13881),f311(x13883,x13882))
% 225.14/225.12 [1389]~E(x13891,x13892)+E(f271(x13891,x13893),f271(x13892,x13893))
% 225.14/225.12 [1390]~E(x13901,x13902)+E(f271(x13903,x13901),f271(x13903,x13902))
% 225.14/225.12 [1391]~E(x13911,x13912)+E(f438(x13911),f438(x13912))
% 225.14/225.12 [1392]~E(x13921,x13922)+E(f573(x13921,x13923,x13924,x13925),f573(x13922,x13923,x13924,x13925))
% 225.14/225.12 [1393]~E(x13931,x13932)+E(f573(x13933,x13931,x13934,x13935),f573(x13933,x13932,x13934,x13935))
% 225.14/225.12 [1394]~E(x13941,x13942)+E(f573(x13943,x13944,x13941,x13945),f573(x13943,x13944,x13942,x13945))
% 225.14/225.12 [1395]~E(x13951,x13952)+E(f573(x13953,x13954,x13955,x13951),f573(x13953,x13954,x13955,x13952))
% 225.14/225.12 [1396]~E(x13961,x13962)+E(f719(x13961,x13963,x13964),f719(x13962,x13963,x13964))
% 225.14/225.12 [1397]~E(x13971,x13972)+E(f719(x13973,x13971,x13974),f719(x13973,x13972,x13974))
% 225.14/225.12 [1398]~E(x13981,x13982)+E(f719(x13983,x13984,x13981),f719(x13983,x13984,x13982))
% 225.14/225.12 [1399]~E(x13991,x13992)+E(f771(x13991,x13993,x13994,x13995),f771(x13992,x13993,x13994,x13995))
% 225.14/225.12 [1400]~E(x14001,x14002)+E(f771(x14003,x14001,x14004,x14005),f771(x14003,x14002,x14004,x14005))
% 225.14/225.12 [1401]~E(x14011,x14012)+E(f771(x14013,x14014,x14011,x14015),f771(x14013,x14014,x14012,x14015))
% 225.14/225.12 [1402]~E(x14021,x14022)+E(f771(x14023,x14024,x14025,x14021),f771(x14023,x14024,x14025,x14022))
% 225.14/225.12 [1403]~E(x14031,x14032)+E(f122(x14031,x14033,x14034,x14035),f122(x14032,x14033,x14034,x14035))
% 225.14/225.12 [1404]~E(x14041,x14042)+E(f122(x14043,x14041,x14044,x14045),f122(x14043,x14042,x14044,x14045))
% 225.14/225.12 [1405]~E(x14051,x14052)+E(f122(x14053,x14054,x14051,x14055),f122(x14053,x14054,x14052,x14055))
% 225.14/225.12 [1406]~E(x14061,x14062)+E(f122(x14063,x14064,x14065,x14061),f122(x14063,x14064,x14065,x14062))
% 225.14/225.12 [1407]~E(x14071,x14072)+E(f672(x14071,x14073),f672(x14072,x14073))
% 225.14/225.12 [1408]~E(x14081,x14082)+E(f672(x14083,x14081),f672(x14083,x14082))
% 225.14/225.12 [1409]~E(x14091,x14092)+E(f725(x14091,x14093,x14094,x14095),f725(x14092,x14093,x14094,x14095))
% 225.14/225.12 [1410]~E(x14101,x14102)+E(f725(x14103,x14101,x14104,x14105),f725(x14103,x14102,x14104,x14105))
% 225.14/225.12 [1411]~E(x14111,x14112)+E(f725(x14113,x14114,x14111,x14115),f725(x14113,x14114,x14112,x14115))
% 225.14/225.12 [1412]~E(x14121,x14122)+E(f725(x14123,x14124,x14125,x14121),f725(x14123,x14124,x14125,x14122))
% 225.14/225.12 [1413]~E(x14131,x14132)+E(f768(x14131,x14133,x14134),f768(x14132,x14133,x14134))
% 225.14/225.12 [1414]~E(x14141,x14142)+E(f768(x14143,x14141,x14144),f768(x14143,x14142,x14144))
% 225.14/225.12 [1415]~E(x14151,x14152)+E(f768(x14153,x14154,x14151),f768(x14153,x14154,x14152))
% 225.14/225.12 [1416]~E(x14161,x14162)+E(f901(x14161,x14163,x14164),f901(x14162,x14163,x14164))
% 225.14/225.12 [1417]~E(x14171,x14172)+E(f901(x14173,x14171,x14174),f901(x14173,x14172,x14174))
% 225.14/225.12 [1418]~E(x14181,x14182)+E(f901(x14183,x14184,x14181),f901(x14183,x14184,x14182))
% 225.14/225.12 [1419]~E(x14191,x14192)+E(f873(x14191,x14193),f873(x14192,x14193))
% 225.14/225.12 [1420]~E(x14201,x14202)+E(f873(x14203,x14201),f873(x14203,x14202))
% 225.14/225.12 [1421]~E(x14211,x14212)+E(f591(x14211,x14213,x14214,x14215,x14216,x14217),f591(x14212,x14213,x14214,x14215,x14216,x14217))
% 225.14/225.12 [1422]~E(x14221,x14222)+E(f591(x14223,x14221,x14224,x14225,x14226,x14227),f591(x14223,x14222,x14224,x14225,x14226,x14227))
% 225.14/225.12 [1423]~E(x14231,x14232)+E(f591(x14233,x14234,x14231,x14235,x14236,x14237),f591(x14233,x14234,x14232,x14235,x14236,x14237))
% 225.14/225.12 [1424]~E(x14241,x14242)+E(f591(x14243,x14244,x14245,x14241,x14246,x14247),f591(x14243,x14244,x14245,x14242,x14246,x14247))
% 225.14/225.12 [1425]~E(x14251,x14252)+E(f591(x14253,x14254,x14255,x14256,x14251,x14257),f591(x14253,x14254,x14255,x14256,x14252,x14257))
% 225.14/225.12 [1426]~E(x14261,x14262)+E(f591(x14263,x14264,x14265,x14266,x14267,x14261),f591(x14263,x14264,x14265,x14266,x14267,x14262))
% 225.14/225.12 [1427]~E(x14271,x14272)+E(f361(x14271,x14273,x14274),f361(x14272,x14273,x14274))
% 225.14/225.12 [1428]~E(x14281,x14282)+E(f361(x14283,x14281,x14284),f361(x14283,x14282,x14284))
% 225.14/225.12 [1429]~E(x14291,x14292)+E(f361(x14293,x14294,x14291),f361(x14293,x14294,x14292))
% 225.14/225.12 [1430]~E(x14301,x14302)+E(f763(x14301,x14303,x14304),f763(x14302,x14303,x14304))
% 225.14/225.12 [1431]~E(x14311,x14312)+E(f763(x14313,x14311,x14314),f763(x14313,x14312,x14314))
% 225.14/225.12 [1432]~E(x14321,x14322)+E(f763(x14323,x14324,x14321),f763(x14323,x14324,x14322))
% 225.14/225.12 [1433]~E(x14331,x14332)+E(f750(x14331,x14333),f750(x14332,x14333))
% 225.14/225.12 [1434]~E(x14341,x14342)+E(f750(x14343,x14341),f750(x14343,x14342))
% 225.14/225.12 [1435]~E(x14351,x14352)+E(f868(x14351,x14353,x14354,x14355),f868(x14352,x14353,x14354,x14355))
% 225.14/225.12 [1436]~E(x14361,x14362)+E(f868(x14363,x14361,x14364,x14365),f868(x14363,x14362,x14364,x14365))
% 225.14/225.12 [1437]~E(x14371,x14372)+E(f868(x14373,x14374,x14371,x14375),f868(x14373,x14374,x14372,x14375))
% 225.14/225.12 [1438]~E(x14381,x14382)+E(f868(x14383,x14384,x14385,x14381),f868(x14383,x14384,x14385,x14382))
% 225.14/225.12 [1439]~E(x14391,x14392)+E(f298(x14391,x14393,x14394,x14395),f298(x14392,x14393,x14394,x14395))
% 225.14/225.12 [1440]~E(x14401,x14402)+E(f298(x14403,x14401,x14404,x14405),f298(x14403,x14402,x14404,x14405))
% 225.14/225.12 [1441]~E(x14411,x14412)+E(f298(x14413,x14414,x14411,x14415),f298(x14413,x14414,x14412,x14415))
% 225.14/225.12 [1442]~E(x14421,x14422)+E(f298(x14423,x14424,x14425,x14421),f298(x14423,x14424,x14425,x14422))
% 225.14/225.12 [1443]~E(x14431,x14432)+E(f421(x14431,x14433,x14434),f421(x14432,x14433,x14434))
% 225.14/225.12 [1444]~E(x14441,x14442)+E(f421(x14443,x14441,x14444),f421(x14443,x14442,x14444))
% 225.14/225.12 [1445]~E(x14451,x14452)+E(f421(x14453,x14454,x14451),f421(x14453,x14454,x14452))
% 225.14/225.12 [1446]~E(x14461,x14462)+E(f717(x14461,x14463),f717(x14462,x14463))
% 225.14/225.12 [1447]~E(x14471,x14472)+E(f717(x14473,x14471),f717(x14473,x14472))
% 225.14/225.12 [1448]~E(x14481,x14482)+E(f784(x14481,x14483,x14484),f784(x14482,x14483,x14484))
% 225.14/225.12 [1449]~E(x14491,x14492)+E(f784(x14493,x14491,x14494),f784(x14493,x14492,x14494))
% 225.14/225.12 [1450]~E(x14501,x14502)+E(f784(x14503,x14504,x14501),f784(x14503,x14504,x14502))
% 225.14/225.12 [1451]~E(x14511,x14512)+E(f633(x14511,x14513,x14514,x14515,x14516),f633(x14512,x14513,x14514,x14515,x14516))
% 225.14/225.12 [1452]~E(x14521,x14522)+E(f633(x14523,x14521,x14524,x14525,x14526),f633(x14523,x14522,x14524,x14525,x14526))
% 225.14/225.12 [1453]~E(x14531,x14532)+E(f633(x14533,x14534,x14531,x14535,x14536),f633(x14533,x14534,x14532,x14535,x14536))
% 225.14/225.12 [1454]~E(x14541,x14542)+E(f633(x14543,x14544,x14545,x14541,x14546),f633(x14543,x14544,x14545,x14542,x14546))
% 225.14/225.12 [1455]~E(x14551,x14552)+E(f633(x14553,x14554,x14555,x14556,x14551),f633(x14553,x14554,x14555,x14556,x14552))
% 225.14/225.12 [1456]~E(x14561,x14562)+E(f140(x14561,x14563,x14564),f140(x14562,x14563,x14564))
% 225.14/225.12 [1457]~E(x14571,x14572)+E(f140(x14573,x14571,x14574),f140(x14573,x14572,x14574))
% 225.14/225.12 [1458]~E(x14581,x14582)+E(f140(x14583,x14584,x14581),f140(x14583,x14584,x14582))
% 225.14/225.12 [1459]~E(x14591,x14592)+E(f467(x14591,x14593,x14594),f467(x14592,x14593,x14594))
% 225.14/225.12 [1460]~E(x14601,x14602)+E(f467(x14603,x14601,x14604),f467(x14603,x14602,x14604))
% 225.14/225.12 [1461]~E(x14611,x14612)+E(f467(x14613,x14614,x14611),f467(x14613,x14614,x14612))
% 225.14/225.12 [1462]~E(x14621,x14622)+E(f722(x14621,x14623),f722(x14622,x14623))
% 225.14/225.12 [1463]~E(x14631,x14632)+E(f722(x14633,x14631),f722(x14633,x14632))
% 225.14/225.12 [1464]~E(x14641,x14642)+E(f318(x14641,x14643,x14644,x14645),f318(x14642,x14643,x14644,x14645))
% 225.14/225.12 [1465]~E(x14651,x14652)+E(f318(x14653,x14651,x14654,x14655),f318(x14653,x14652,x14654,x14655))
% 225.14/225.12 [1466]~E(x14661,x14662)+E(f318(x14663,x14664,x14661,x14665),f318(x14663,x14664,x14662,x14665))
% 225.14/225.12 [1467]~E(x14671,x14672)+E(f318(x14673,x14674,x14675,x14671),f318(x14673,x14674,x14675,x14672))
% 225.14/225.12 [1468]~E(x14681,x14682)+E(f392(x14681,x14683,x14684,x14685),f392(x14682,x14683,x14684,x14685))
% 225.14/225.12 [1469]~E(x14691,x14692)+E(f392(x14693,x14691,x14694,x14695),f392(x14693,x14692,x14694,x14695))
% 225.14/225.12 [1470]~E(x14701,x14702)+E(f392(x14703,x14704,x14701,x14705),f392(x14703,x14704,x14702,x14705))
% 225.14/225.12 [1471]~E(x14711,x14712)+E(f392(x14713,x14714,x14715,x14711),f392(x14713,x14714,x14715,x14712))
% 225.14/225.12 [1472]~E(x14721,x14722)+E(f525(x14721,x14723,x14724,x14725,x14726),f525(x14722,x14723,x14724,x14725,x14726))
% 225.14/225.12 [1473]~E(x14731,x14732)+E(f525(x14733,x14731,x14734,x14735,x14736),f525(x14733,x14732,x14734,x14735,x14736))
% 225.14/225.12 [1474]~E(x14741,x14742)+E(f525(x14743,x14744,x14741,x14745,x14746),f525(x14743,x14744,x14742,x14745,x14746))
% 225.14/225.12 [1475]~E(x14751,x14752)+E(f525(x14753,x14754,x14755,x14751,x14756),f525(x14753,x14754,x14755,x14752,x14756))
% 225.14/225.12 [1476]~E(x14761,x14762)+E(f525(x14763,x14764,x14765,x14766,x14761),f525(x14763,x14764,x14765,x14766,x14762))
% 225.14/225.12 [1477]~E(x14771,x14772)+E(f197(x14771,x14773,x14774,x14775),f197(x14772,x14773,x14774,x14775))
% 225.14/225.12 [1478]~E(x14781,x14782)+E(f197(x14783,x14781,x14784,x14785),f197(x14783,x14782,x14784,x14785))
% 225.14/225.12 [1479]~E(x14791,x14792)+E(f197(x14793,x14794,x14791,x14795),f197(x14793,x14794,x14792,x14795))
% 225.14/225.12 [1480]~E(x14801,x14802)+E(f197(x14803,x14804,x14805,x14801),f197(x14803,x14804,x14805,x14802))
% 225.14/225.12 [1481]~E(x14811,x14812)+E(f736(x14811,x14813,x14814,x14815),f736(x14812,x14813,x14814,x14815))
% 225.14/225.12 [1482]~E(x14821,x14822)+E(f736(x14823,x14821,x14824,x14825),f736(x14823,x14822,x14824,x14825))
% 225.14/225.12 [1483]~E(x14831,x14832)+E(f736(x14833,x14834,x14831,x14835),f736(x14833,x14834,x14832,x14835))
% 225.14/225.12 [1484]~E(x14841,x14842)+E(f736(x14843,x14844,x14845,x14841),f736(x14843,x14844,x14845,x14842))
% 225.14/225.12 [1485]~E(x14851,x14852)+E(f374(x14851,x14853,x14854,x14855),f374(x14852,x14853,x14854,x14855))
% 225.14/225.12 [1486]~E(x14861,x14862)+E(f374(x14863,x14861,x14864,x14865),f374(x14863,x14862,x14864,x14865))
% 225.14/225.12 [1487]~E(x14871,x14872)+E(f374(x14873,x14874,x14871,x14875),f374(x14873,x14874,x14872,x14875))
% 225.14/225.12 [1488]~E(x14881,x14882)+E(f374(x14883,x14884,x14885,x14881),f374(x14883,x14884,x14885,x14882))
% 225.14/225.12 [1489]~E(x14891,x14892)+E(f417(x14891,x14893,x14894,x14895),f417(x14892,x14893,x14894,x14895))
% 225.14/225.12 [1490]~E(x14901,x14902)+E(f417(x14903,x14901,x14904,x14905),f417(x14903,x14902,x14904,x14905))
% 225.14/225.12 [1491]~E(x14911,x14912)+E(f417(x14913,x14914,x14911,x14915),f417(x14913,x14914,x14912,x14915))
% 225.14/225.12 [1492]~E(x14921,x14922)+E(f417(x14923,x14924,x14925,x14921),f417(x14923,x14924,x14925,x14922))
% 225.14/225.12 [1493]~E(x14931,x14932)+E(f396(x14931,x14933,x14934,x14935),f396(x14932,x14933,x14934,x14935))
% 225.14/225.12 [1494]~E(x14941,x14942)+E(f396(x14943,x14941,x14944,x14945),f396(x14943,x14942,x14944,x14945))
% 225.14/225.12 [1495]~E(x14951,x14952)+E(f396(x14953,x14954,x14951,x14955),f396(x14953,x14954,x14952,x14955))
% 225.14/225.12 [1496]~E(x14961,x14962)+E(f396(x14963,x14964,x14965,x14961),f396(x14963,x14964,x14965,x14962))
% 225.14/225.12 [1497]~E(x14971,x14972)+E(f674(x14971,x14973,x14974,x14975),f674(x14972,x14973,x14974,x14975))
% 225.14/225.12 [1498]~E(x14981,x14982)+E(f674(x14983,x14981,x14984,x14985),f674(x14983,x14982,x14984,x14985))
% 225.14/225.12 [1499]~E(x14991,x14992)+E(f674(x14993,x14994,x14991,x14995),f674(x14993,x14994,x14992,x14995))
% 225.14/225.12 [1500]~E(x15001,x15002)+E(f674(x15003,x15004,x15005,x15001),f674(x15003,x15004,x15005,x15002))
% 225.14/225.12 [1501]~E(x15011,x15012)+E(f356(x15011,x15013,x15014),f356(x15012,x15013,x15014))
% 225.14/225.12 [1502]~E(x15021,x15022)+E(f356(x15023,x15021,x15024),f356(x15023,x15022,x15024))
% 225.14/225.12 [1503]~E(x15031,x15032)+E(f356(x15033,x15034,x15031),f356(x15033,x15034,x15032))
% 225.14/225.12 [1504]~E(x15041,x15042)+E(f553(x15041,x15043,x15044,x15045,x15046,x15047),f553(x15042,x15043,x15044,x15045,x15046,x15047))
% 225.14/225.12 [1505]~E(x15051,x15052)+E(f553(x15053,x15051,x15054,x15055,x15056,x15057),f553(x15053,x15052,x15054,x15055,x15056,x15057))
% 225.14/225.12 [1506]~E(x15061,x15062)+E(f553(x15063,x15064,x15061,x15065,x15066,x15067),f553(x15063,x15064,x15062,x15065,x15066,x15067))
% 225.14/225.12 [1507]~E(x15071,x15072)+E(f553(x15073,x15074,x15075,x15071,x15076,x15077),f553(x15073,x15074,x15075,x15072,x15076,x15077))
% 225.14/225.12 [1508]~E(x15081,x15082)+E(f553(x15083,x15084,x15085,x15086,x15081,x15087),f553(x15083,x15084,x15085,x15086,x15082,x15087))
% 225.14/225.12 [1509]~E(x15091,x15092)+E(f553(x15093,x15094,x15095,x15096,x15097,x15091),f553(x15093,x15094,x15095,x15096,x15097,x15092))
% 225.14/225.12 [1510]~E(x15101,x15102)+E(f643(x15101,x15103,x15104,x15105,x15106),f643(x15102,x15103,x15104,x15105,x15106))
% 225.14/225.12 [1511]~E(x15111,x15112)+E(f643(x15113,x15111,x15114,x15115,x15116),f643(x15113,x15112,x15114,x15115,x15116))
% 225.14/225.12 [1512]~E(x15121,x15122)+E(f643(x15123,x15124,x15121,x15125,x15126),f643(x15123,x15124,x15122,x15125,x15126))
% 225.14/225.12 [1513]~E(x15131,x15132)+E(f643(x15133,x15134,x15135,x15131,x15136),f643(x15133,x15134,x15135,x15132,x15136))
% 225.14/225.12 [1514]~E(x15141,x15142)+E(f643(x15143,x15144,x15145,x15146,x15141),f643(x15143,x15144,x15145,x15146,x15142))
% 225.14/225.12 [1515]~E(x15151,x15152)+E(f845(x15151,x15153,x15154,x15155,x15156,x15157,x15158,x15159),f845(x15152,x15153,x15154,x15155,x15156,x15157,x15158,x15159))
% 225.14/225.12 [1516]~E(x15161,x15162)+E(f845(x15163,x15161,x15164,x15165,x15166,x15167,x15168,x15169),f845(x15163,x15162,x15164,x15165,x15166,x15167,x15168,x15169))
% 225.14/225.12 [1517]~E(x15171,x15172)+E(f845(x15173,x15174,x15171,x15175,x15176,x15177,x15178,x15179),f845(x15173,x15174,x15172,x15175,x15176,x15177,x15178,x15179))
% 225.14/225.12 [1518]~E(x15181,x15182)+E(f845(x15183,x15184,x15185,x15181,x15186,x15187,x15188,x15189),f845(x15183,x15184,x15185,x15182,x15186,x15187,x15188,x15189))
% 225.14/225.12 [1519]~E(x15191,x15192)+E(f845(x15193,x15194,x15195,x15196,x15191,x15197,x15198,x15199),f845(x15193,x15194,x15195,x15196,x15192,x15197,x15198,x15199))
% 225.14/225.12 [1520]~E(x15201,x15202)+E(f845(x15203,x15204,x15205,x15206,x15207,x15201,x15208,x15209),f845(x15203,x15204,x15205,x15206,x15207,x15202,x15208,x15209))
% 225.14/225.12 [1521]~E(x15211,x15212)+E(f845(x15213,x15214,x15215,x15216,x15217,x15218,x15211,x15219),f845(x15213,x15214,x15215,x15216,x15217,x15218,x15212,x15219))
% 225.14/225.12 [1522]~E(x15221,x15222)+E(f845(x15223,x15224,x15225,x15226,x15227,x15228,x15229,x15221),f845(x15223,x15224,x15225,x15226,x15227,x15228,x15229,x15222))
% 225.14/225.12 [1523]~E(x15231,x15232)+E(f816(x15231,x15233,x15234),f816(x15232,x15233,x15234))
% 225.14/225.12 [1524]~E(x15241,x15242)+E(f816(x15243,x15241,x15244),f816(x15243,x15242,x15244))
% 225.14/225.12 [1525]~E(x15251,x15252)+E(f816(x15253,x15254,x15251),f816(x15253,x15254,x15252))
% 225.14/225.12 [1526]~E(x15261,x15262)+E(f441(x15261,x15263,x15264,x15265,x15266),f441(x15262,x15263,x15264,x15265,x15266))
% 225.14/225.12 [1527]~E(x15271,x15272)+E(f441(x15273,x15271,x15274,x15275,x15276),f441(x15273,x15272,x15274,x15275,x15276))
% 225.14/225.12 [1528]~E(x15281,x15282)+E(f441(x15283,x15284,x15281,x15285,x15286),f441(x15283,x15284,x15282,x15285,x15286))
% 225.14/225.12 [1529]~E(x15291,x15292)+E(f441(x15293,x15294,x15295,x15291,x15296),f441(x15293,x15294,x15295,x15292,x15296))
% 225.14/225.12 [1530]~E(x15301,x15302)+E(f441(x15303,x15304,x15305,x15306,x15301),f441(x15303,x15304,x15305,x15306,x15302))
% 225.14/225.12 [1531]~E(x15311,x15312)+E(f812(x15311,x15313,x15314,x15315,x15316),f812(x15312,x15313,x15314,x15315,x15316))
% 225.14/225.12 [1532]~E(x15321,x15322)+E(f812(x15323,x15321,x15324,x15325,x15326),f812(x15323,x15322,x15324,x15325,x15326))
% 225.14/225.12 [1533]~E(x15331,x15332)+E(f812(x15333,x15334,x15331,x15335,x15336),f812(x15333,x15334,x15332,x15335,x15336))
% 225.14/225.12 [1534]~E(x15341,x15342)+E(f812(x15343,x15344,x15345,x15341,x15346),f812(x15343,x15344,x15345,x15342,x15346))
% 225.14/225.12 [1535]~E(x15351,x15352)+E(f812(x15353,x15354,x15355,x15356,x15351),f812(x15353,x15354,x15355,x15356,x15352))
% 225.14/225.12 [1536]~E(x15361,x15362)+E(f705(x15361,x15363,x15364),f705(x15362,x15363,x15364))
% 225.14/225.12 [1537]~E(x15371,x15372)+E(f705(x15373,x15371,x15374),f705(x15373,x15372,x15374))
% 225.14/225.12 [1538]~E(x15381,x15382)+E(f705(x15383,x15384,x15381),f705(x15383,x15384,x15382))
% 225.14/225.12 [1539]~E(x15391,x15392)+E(f576(x15391,x15393,x15394),f576(x15392,x15393,x15394))
% 225.14/225.12 [1540]~E(x15401,x15402)+E(f576(x15403,x15401,x15404),f576(x15403,x15402,x15404))
% 225.14/225.12 [1541]~E(x15411,x15412)+E(f576(x15413,x15414,x15411),f576(x15413,x15414,x15412))
% 225.14/225.12 [1542]~E(x15421,x15422)+E(f410(x15421,x15423,x15424,x15425),f410(x15422,x15423,x15424,x15425))
% 225.14/225.12 [1543]~E(x15431,x15432)+E(f410(x15433,x15431,x15434,x15435),f410(x15433,x15432,x15434,x15435))
% 225.14/225.12 [1544]~E(x15441,x15442)+E(f410(x15443,x15444,x15441,x15445),f410(x15443,x15444,x15442,x15445))
% 225.14/225.12 [1545]~E(x15451,x15452)+E(f410(x15453,x15454,x15455,x15451),f410(x15453,x15454,x15455,x15452))
% 225.14/225.12 [1546]~E(x15461,x15462)+E(f237(x15461,x15463),f237(x15462,x15463))
% 225.14/225.12 [1547]~E(x15471,x15472)+E(f237(x15473,x15471),f237(x15473,x15472))
% 225.14/225.12 [1548]~E(x15481,x15482)+E(f723(x15481,x15483,x15484),f723(x15482,x15483,x15484))
% 225.14/225.12 [1549]~E(x15491,x15492)+E(f723(x15493,x15491,x15494),f723(x15493,x15492,x15494))
% 225.14/225.12 [1550]~E(x15501,x15502)+E(f723(x15503,x15504,x15501),f723(x15503,x15504,x15502))
% 225.14/225.12 [1551]~E(x15511,x15512)+E(f780(x15511,x15513,x15514,x15515),f780(x15512,x15513,x15514,x15515))
% 225.14/225.12 [1552]~E(x15521,x15522)+E(f780(x15523,x15521,x15524,x15525),f780(x15523,x15522,x15524,x15525))
% 225.14/225.12 [1553]~E(x15531,x15532)+E(f780(x15533,x15534,x15531,x15535),f780(x15533,x15534,x15532,x15535))
% 225.14/225.12 [1554]~E(x15541,x15542)+E(f780(x15543,x15544,x15545,x15541),f780(x15543,x15544,x15545,x15542))
% 225.14/225.12 [1555]~E(x15551,x15552)+E(f550(x15551,x15553,x15554,x15555,x15556),f550(x15552,x15553,x15554,x15555,x15556))
% 225.14/225.12 [1556]~E(x15561,x15562)+E(f550(x15563,x15561,x15564,x15565,x15566),f550(x15563,x15562,x15564,x15565,x15566))
% 225.14/225.12 [1557]~E(x15571,x15572)+E(f550(x15573,x15574,x15571,x15575,x15576),f550(x15573,x15574,x15572,x15575,x15576))
% 225.14/225.12 [1558]~E(x15581,x15582)+E(f550(x15583,x15584,x15585,x15581,x15586),f550(x15583,x15584,x15585,x15582,x15586))
% 225.14/225.12 [1559]~E(x15591,x15592)+E(f550(x15593,x15594,x15595,x15596,x15591),f550(x15593,x15594,x15595,x15596,x15592))
% 225.14/225.12 [1560]~E(x15601,x15602)+E(f607(x15601,x15603,x15604),f607(x15602,x15603,x15604))
% 225.14/225.12 [1561]~E(x15611,x15612)+E(f607(x15613,x15611,x15614),f607(x15613,x15612,x15614))
% 225.14/225.12 [1562]~E(x15621,x15622)+E(f607(x15623,x15624,x15621),f607(x15623,x15624,x15622))
% 225.14/225.12 [1563]~E(x15631,x15632)+E(f684(x15631,x15633,x15634,x15635),f684(x15632,x15633,x15634,x15635))
% 225.14/225.12 [1564]~E(x15641,x15642)+E(f684(x15643,x15641,x15644,x15645),f684(x15643,x15642,x15644,x15645))
% 225.14/225.12 [1565]~E(x15651,x15652)+E(f684(x15653,x15654,x15651,x15655),f684(x15653,x15654,x15652,x15655))
% 225.14/225.12 [1566]~E(x15661,x15662)+E(f684(x15663,x15664,x15665,x15661),f684(x15663,x15664,x15665,x15662))
% 225.14/225.12 [1567]~E(x15671,x15672)+E(f359(x15671,x15673,x15674),f359(x15672,x15673,x15674))
% 225.14/225.12 [1568]~E(x15681,x15682)+E(f359(x15683,x15681,x15684),f359(x15683,x15682,x15684))
% 225.14/225.12 [1569]~E(x15691,x15692)+E(f359(x15693,x15694,x15691),f359(x15693,x15694,x15692))
% 225.14/225.12 [1570]~E(x15701,x15702)+E(f416(x15701,x15703,x15704,x15705),f416(x15702,x15703,x15704,x15705))
% 225.14/225.12 [1571]~E(x15711,x15712)+E(f416(x15713,x15711,x15714,x15715),f416(x15713,x15712,x15714,x15715))
% 225.14/225.12 [1572]~E(x15721,x15722)+E(f416(x15723,x15724,x15721,x15725),f416(x15723,x15724,x15722,x15725))
% 225.14/225.12 [1573]~E(x15731,x15732)+E(f416(x15733,x15734,x15735,x15731),f416(x15733,x15734,x15735,x15732))
% 225.14/225.12 [1574]~E(x15741,x15742)+E(f609(x15741,x15743,x15744),f609(x15742,x15743,x15744))
% 225.14/225.12 [1575]~E(x15751,x15752)+E(f609(x15753,x15751,x15754),f609(x15753,x15752,x15754))
% 225.14/225.12 [1576]~E(x15761,x15762)+E(f609(x15763,x15764,x15761),f609(x15763,x15764,x15762))
% 225.14/225.12 [1577]~E(x15771,x15772)+E(f397(x15771,x15773,x15774,x15775),f397(x15772,x15773,x15774,x15775))
% 225.14/225.12 [1578]~E(x15781,x15782)+E(f397(x15783,x15781,x15784,x15785),f397(x15783,x15782,x15784,x15785))
% 225.14/225.12 [1579]~E(x15791,x15792)+E(f397(x15793,x15794,x15791,x15795),f397(x15793,x15794,x15792,x15795))
% 225.14/225.12 [1580]~E(x15801,x15802)+E(f397(x15803,x15804,x15805,x15801),f397(x15803,x15804,x15805,x15802))
% 225.14/225.12 [1581]~E(x15811,x15812)+E(f445(x15811,x15813),f445(x15812,x15813))
% 225.14/225.12 [1582]~E(x15821,x15822)+E(f445(x15823,x15821),f445(x15823,x15822))
% 225.14/225.12 [1583]~E(x15831,x15832)+E(f420(x15831,x15833,x15834),f420(x15832,x15833,x15834))
% 225.14/225.12 [1584]~E(x15841,x15842)+E(f420(x15843,x15841,x15844),f420(x15843,x15842,x15844))
% 225.14/225.12 [1585]~E(x15851,x15852)+E(f420(x15853,x15854,x15851),f420(x15853,x15854,x15852))
% 225.14/225.12 [1586]~E(x15861,x15862)+E(f58(x15861,x15863,x15864,x15865),f58(x15862,x15863,x15864,x15865))
% 225.14/225.12 [1587]~E(x15871,x15872)+E(f58(x15873,x15871,x15874,x15875),f58(x15873,x15872,x15874,x15875))
% 225.14/225.12 [1588]~E(x15881,x15882)+E(f58(x15883,x15884,x15881,x15885),f58(x15883,x15884,x15882,x15885))
% 225.14/225.12 [1589]~E(x15891,x15892)+E(f58(x15893,x15894,x15895,x15891),f58(x15893,x15894,x15895,x15892))
% 225.14/225.12 [1590]~E(x15901,x15902)+E(f716(x15901,x15903,x15904),f716(x15902,x15903,x15904))
% 225.14/225.12 [1591]~E(x15911,x15912)+E(f716(x15913,x15911,x15914),f716(x15913,x15912,x15914))
% 225.14/225.12 [1592]~E(x15921,x15922)+E(f716(x15923,x15924,x15921),f716(x15923,x15924,x15922))
% 225.14/225.12 [1593]~E(x15931,x15932)+E(f844(x15931,x15933,x15934,x15935,x15936,x15937,x15938,x15939),f844(x15932,x15933,x15934,x15935,x15936,x15937,x15938,x15939))
% 225.14/225.12 [1594]~E(x15941,x15942)+E(f844(x15943,x15941,x15944,x15945,x15946,x15947,x15948,x15949),f844(x15943,x15942,x15944,x15945,x15946,x15947,x15948,x15949))
% 225.14/225.12 [1595]~E(x15951,x15952)+E(f844(x15953,x15954,x15951,x15955,x15956,x15957,x15958,x15959),f844(x15953,x15954,x15952,x15955,x15956,x15957,x15958,x15959))
% 225.14/225.12 [1596]~E(x15961,x15962)+E(f844(x15963,x15964,x15965,x15961,x15966,x15967,x15968,x15969),f844(x15963,x15964,x15965,x15962,x15966,x15967,x15968,x15969))
% 225.14/225.12 [1597]~E(x15971,x15972)+E(f844(x15973,x15974,x15975,x15976,x15971,x15977,x15978,x15979),f844(x15973,x15974,x15975,x15976,x15972,x15977,x15978,x15979))
% 225.14/225.12 [1598]~E(x15981,x15982)+E(f844(x15983,x15984,x15985,x15986,x15987,x15981,x15988,x15989),f844(x15983,x15984,x15985,x15986,x15987,x15982,x15988,x15989))
% 225.14/225.12 [1599]~E(x15991,x15992)+E(f844(x15993,x15994,x15995,x15996,x15997,x15998,x15991,x15999),f844(x15993,x15994,x15995,x15996,x15997,x15998,x15992,x15999))
% 225.14/225.12 [1600]~E(x16001,x16002)+E(f844(x16003,x16004,x16005,x16006,x16007,x16008,x16009,x16001),f844(x16003,x16004,x16005,x16006,x16007,x16008,x16009,x16002))
% 225.14/225.12 [1601]~E(x16011,x16012)+E(f404(x16011,x16013,x16014),f404(x16012,x16013,x16014))
% 225.14/225.12 [1602]~E(x16021,x16022)+E(f404(x16023,x16021,x16024),f404(x16023,x16022,x16024))
% 225.14/225.12 [1603]~E(x16031,x16032)+E(f404(x16033,x16034,x16031),f404(x16033,x16034,x16032))
% 225.14/225.12 [1604]~E(x16041,x16042)+E(f796(x16041,x16043,x16044),f796(x16042,x16043,x16044))
% 225.14/225.12 [1605]~E(x16051,x16052)+E(f796(x16053,x16051,x16054),f796(x16053,x16052,x16054))
% 225.14/225.12 [1606]~E(x16061,x16062)+E(f796(x16063,x16064,x16061),f796(x16063,x16064,x16062))
% 225.14/225.12 [1607]~E(x16071,x16072)+E(f745(x16071,x16073,x16074,x16075,x16076),f745(x16072,x16073,x16074,x16075,x16076))
% 225.14/225.12 [1608]~E(x16081,x16082)+E(f745(x16083,x16081,x16084,x16085,x16086),f745(x16083,x16082,x16084,x16085,x16086))
% 225.14/225.12 [1609]~E(x16091,x16092)+E(f745(x16093,x16094,x16091,x16095,x16096),f745(x16093,x16094,x16092,x16095,x16096))
% 225.14/225.12 [1610]~E(x16101,x16102)+E(f745(x16103,x16104,x16105,x16101,x16106),f745(x16103,x16104,x16105,x16102,x16106))
% 225.14/225.12 [1611]~E(x16111,x16112)+E(f745(x16113,x16114,x16115,x16116,x16111),f745(x16113,x16114,x16115,x16116,x16112))
% 225.14/225.12 [1612]~E(x16121,x16122)+E(f559(x16121,x16123,x16124),f559(x16122,x16123,x16124))
% 225.14/225.12 [1613]~E(x16131,x16132)+E(f559(x16133,x16131,x16134),f559(x16133,x16132,x16134))
% 225.14/225.12 [1614]~E(x16141,x16142)+E(f559(x16143,x16144,x16141),f559(x16143,x16144,x16142))
% 225.14/225.12 [1615]~E(x16151,x16152)+E(f252(x16151,x16153,x16154,x16155,x16156),f252(x16152,x16153,x16154,x16155,x16156))
% 225.14/225.12 [1616]~E(x16161,x16162)+E(f252(x16163,x16161,x16164,x16165,x16166),f252(x16163,x16162,x16164,x16165,x16166))
% 225.14/225.12 [1617]~E(x16171,x16172)+E(f252(x16173,x16174,x16171,x16175,x16176),f252(x16173,x16174,x16172,x16175,x16176))
% 225.14/225.12 [1618]~E(x16181,x16182)+E(f252(x16183,x16184,x16185,x16181,x16186),f252(x16183,x16184,x16185,x16182,x16186))
% 225.14/225.12 [1619]~E(x16191,x16192)+E(f252(x16193,x16194,x16195,x16196,x16191),f252(x16193,x16194,x16195,x16196,x16192))
% 225.14/225.12 [1620]~E(x16201,x16202)+E(f884(x16201,x16203,x16204,x16205,x16206),f884(x16202,x16203,x16204,x16205,x16206))
% 225.14/225.12 [1621]~E(x16211,x16212)+E(f884(x16213,x16211,x16214,x16215,x16216),f884(x16213,x16212,x16214,x16215,x16216))
% 225.14/225.12 [1622]~E(x16221,x16222)+E(f884(x16223,x16224,x16221,x16225,x16226),f884(x16223,x16224,x16222,x16225,x16226))
% 225.14/225.12 [1623]~E(x16231,x16232)+E(f884(x16233,x16234,x16235,x16231,x16236),f884(x16233,x16234,x16235,x16232,x16236))
% 225.14/225.12 [1624]~E(x16241,x16242)+E(f884(x16243,x16244,x16245,x16246,x16241),f884(x16243,x16244,x16245,x16246,x16242))
% 225.14/225.12 [1625]~E(x16251,x16252)+E(f866(x16251,x16253,x16254),f866(x16252,x16253,x16254))
% 225.14/225.12 [1626]~E(x16261,x16262)+E(f866(x16263,x16261,x16264),f866(x16263,x16262,x16264))
% 225.14/225.12 [1627]~E(x16271,x16272)+E(f866(x16273,x16274,x16271),f866(x16273,x16274,x16272))
% 225.14/225.12 [1628]~E(x16281,x16282)+E(f459(x16281,x16283),f459(x16282,x16283))
% 225.14/225.12 [1629]~E(x16291,x16292)+E(f459(x16293,x16291),f459(x16293,x16292))
% 225.14/225.12 [1630]~E(x16301,x16302)+E(f163(x16301,x16303,x16304,x16305),f163(x16302,x16303,x16304,x16305))
% 225.14/225.12 [1631]~E(x16311,x16312)+E(f163(x16313,x16311,x16314,x16315),f163(x16313,x16312,x16314,x16315))
% 225.14/225.12 [1632]~E(x16321,x16322)+E(f163(x16323,x16324,x16321,x16325),f163(x16323,x16324,x16322,x16325))
% 225.14/225.12 [1633]~E(x16331,x16332)+E(f163(x16333,x16334,x16335,x16331),f163(x16333,x16334,x16335,x16332))
% 225.14/225.12 [1634]~E(x16341,x16342)+E(f355(x16341,x16343,x16344,x16345,x16346),f355(x16342,x16343,x16344,x16345,x16346))
% 225.14/225.12 [1635]~E(x16351,x16352)+E(f355(x16353,x16351,x16354,x16355,x16356),f355(x16353,x16352,x16354,x16355,x16356))
% 225.14/225.12 [1636]~E(x16361,x16362)+E(f355(x16363,x16364,x16361,x16365,x16366),f355(x16363,x16364,x16362,x16365,x16366))
% 225.14/225.12 [1637]~E(x16371,x16372)+E(f355(x16373,x16374,x16375,x16371,x16376),f355(x16373,x16374,x16375,x16372,x16376))
% 225.14/225.12 [1638]~E(x16381,x16382)+E(f355(x16383,x16384,x16385,x16386,x16381),f355(x16383,x16384,x16385,x16386,x16382))
% 225.14/225.12 [1639]~E(x16391,x16392)+E(f682(x16391,x16393,x16394,x16395,x16396),f682(x16392,x16393,x16394,x16395,x16396))
% 225.14/225.12 [1640]~E(x16401,x16402)+E(f682(x16403,x16401,x16404,x16405,x16406),f682(x16403,x16402,x16404,x16405,x16406))
% 225.14/225.12 [1641]~E(x16411,x16412)+E(f682(x16413,x16414,x16411,x16415,x16416),f682(x16413,x16414,x16412,x16415,x16416))
% 225.14/225.12 [1642]~E(x16421,x16422)+E(f682(x16423,x16424,x16425,x16421,x16426),f682(x16423,x16424,x16425,x16422,x16426))
% 225.14/225.12 [1643]~E(x16431,x16432)+E(f682(x16433,x16434,x16435,x16436,x16431),f682(x16433,x16434,x16435,x16436,x16432))
% 225.14/225.12 [1644]~E(x16441,x16442)+E(f634(x16441,x16443),f634(x16442,x16443))
% 225.14/225.12 [1645]~E(x16451,x16452)+E(f634(x16453,x16451),f634(x16453,x16452))
% 225.14/225.12 [1646]~E(x16461,x16462)+E(f544(x16461,x16463,x16464,x16465,x16466,x16467),f544(x16462,x16463,x16464,x16465,x16466,x16467))
% 225.14/225.12 [1647]~E(x16471,x16472)+E(f544(x16473,x16471,x16474,x16475,x16476,x16477),f544(x16473,x16472,x16474,x16475,x16476,x16477))
% 225.14/225.12 [1648]~E(x16481,x16482)+E(f544(x16483,x16484,x16481,x16485,x16486,x16487),f544(x16483,x16484,x16482,x16485,x16486,x16487))
% 225.14/225.12 [1649]~E(x16491,x16492)+E(f544(x16493,x16494,x16495,x16491,x16496,x16497),f544(x16493,x16494,x16495,x16492,x16496,x16497))
% 225.14/225.12 [1650]~E(x16501,x16502)+E(f544(x16503,x16504,x16505,x16506,x16501,x16507),f544(x16503,x16504,x16505,x16506,x16502,x16507))
% 225.14/225.12 [1651]~E(x16511,x16512)+E(f544(x16513,x16514,x16515,x16516,x16517,x16511),f544(x16513,x16514,x16515,x16516,x16517,x16512))
% 225.14/225.12 [1652]~E(x16521,x16522)+E(f380(x16521,x16523,x16524,x16525),f380(x16522,x16523,x16524,x16525))
% 225.14/225.12 [1653]~E(x16531,x16532)+E(f380(x16533,x16531,x16534,x16535),f380(x16533,x16532,x16534,x16535))
% 225.14/225.12 [1654]~E(x16541,x16542)+E(f380(x16543,x16544,x16541,x16545),f380(x16543,x16544,x16542,x16545))
% 225.14/225.12 [1655]~E(x16551,x16552)+E(f380(x16553,x16554,x16555,x16551),f380(x16553,x16554,x16555,x16552))
% 225.14/225.12 [1656]~E(x16561,x16562)+E(f522(x16561,x16563,x16564),f522(x16562,x16563,x16564))
% 225.14/225.12 [1657]~E(x16571,x16572)+E(f522(x16573,x16571,x16574),f522(x16573,x16572,x16574))
% 225.14/225.12 [1658]~E(x16581,x16582)+E(f522(x16583,x16584,x16581),f522(x16583,x16584,x16582))
% 225.14/225.12 [1659]~E(x16591,x16592)+E(f198(x16591,x16593,x16594,x16595),f198(x16592,x16593,x16594,x16595))
% 225.14/225.12 [1660]~E(x16601,x16602)+E(f198(x16603,x16601,x16604,x16605),f198(x16603,x16602,x16604,x16605))
% 225.14/225.12 [1661]~E(x16611,x16612)+E(f198(x16613,x16614,x16611,x16615),f198(x16613,x16614,x16612,x16615))
% 225.14/225.12 [1662]~E(x16621,x16622)+E(f198(x16623,x16624,x16625,x16621),f198(x16623,x16624,x16625,x16622))
% 225.14/225.12 [1663]~E(x16631,x16632)+E(f27(x16631,x16633,x16634),f27(x16632,x16633,x16634))
% 225.14/225.12 [1664]~E(x16641,x16642)+E(f27(x16643,x16641,x16644),f27(x16643,x16642,x16644))
% 225.14/225.12 [1665]~E(x16651,x16652)+E(f27(x16653,x16654,x16651),f27(x16653,x16654,x16652))
% 225.14/225.12 [1666]~E(x16661,x16662)+E(f836(x16661,x16663,x16664),f836(x16662,x16663,x16664))
% 225.14/225.12 [1667]~E(x16671,x16672)+E(f836(x16673,x16671,x16674),f836(x16673,x16672,x16674))
% 225.14/225.12 [1668]~E(x16681,x16682)+E(f836(x16683,x16684,x16681),f836(x16683,x16684,x16682))
% 225.14/225.12 [1669]~E(x16691,x16692)+E(f93(x16691,x16693,x16694),f93(x16692,x16693,x16694))
% 225.14/225.12 [1670]~E(x16701,x16702)+E(f93(x16703,x16701,x16704),f93(x16703,x16702,x16704))
% 225.14/225.12 [1671]~E(x16711,x16712)+E(f93(x16713,x16714,x16711),f93(x16713,x16714,x16712))
% 225.14/225.12 [1672]~E(x16721,x16722)+E(f274(x16721,x16723),f274(x16722,x16723))
% 225.14/225.12 [1673]~E(x16731,x16732)+E(f274(x16733,x16731),f274(x16733,x16732))
% 225.14/225.12 [1674]~E(x16741,x16742)+E(f545(x16741,x16743,x16744),f545(x16742,x16743,x16744))
% 225.14/225.12 [1675]~E(x16751,x16752)+E(f545(x16753,x16751,x16754),f545(x16753,x16752,x16754))
% 225.14/225.12 [1676]~E(x16761,x16762)+E(f545(x16763,x16764,x16761),f545(x16763,x16764,x16762))
% 225.14/225.12 [1677]~E(x16771,x16772)+E(f648(x16771,x16773,x16774,x16775,x16776,x16777),f648(x16772,x16773,x16774,x16775,x16776,x16777))
% 225.14/225.12 [1678]~E(x16781,x16782)+E(f648(x16783,x16781,x16784,x16785,x16786,x16787),f648(x16783,x16782,x16784,x16785,x16786,x16787))
% 225.14/225.12 [1679]~E(x16791,x16792)+E(f648(x16793,x16794,x16791,x16795,x16796,x16797),f648(x16793,x16794,x16792,x16795,x16796,x16797))
% 225.14/225.12 [1680]~E(x16801,x16802)+E(f648(x16803,x16804,x16805,x16801,x16806,x16807),f648(x16803,x16804,x16805,x16802,x16806,x16807))
% 225.14/225.12 [1681]~E(x16811,x16812)+E(f648(x16813,x16814,x16815,x16816,x16811,x16817),f648(x16813,x16814,x16815,x16816,x16812,x16817))
% 225.14/225.12 [1682]~E(x16821,x16822)+E(f648(x16823,x16824,x16825,x16826,x16827,x16821),f648(x16823,x16824,x16825,x16826,x16827,x16822))
% 225.14/225.12 [1683]~E(x16831,x16832)+E(f899(x16831,x16833),f899(x16832,x16833))
% 225.14/225.12 [1684]~E(x16841,x16842)+E(f899(x16843,x16841),f899(x16843,x16842))
% 225.14/225.12 [1685]~E(x16851,x16852)+E(f572(x16851,x16853,x16854,x16855),f572(x16852,x16853,x16854,x16855))
% 225.14/225.12 [1686]~E(x16861,x16862)+E(f572(x16863,x16861,x16864,x16865),f572(x16863,x16862,x16864,x16865))
% 225.14/225.12 [1687]~E(x16871,x16872)+E(f572(x16873,x16874,x16871,x16875),f572(x16873,x16874,x16872,x16875))
% 225.14/225.12 [1688]~E(x16881,x16882)+E(f572(x16883,x16884,x16885,x16881),f572(x16883,x16884,x16885,x16882))
% 225.14/225.12 [1689]~E(x16891,x16892)+E(f483(x16891),f483(x16892))
% 225.14/225.12 [1690]~E(x16901,x16902)+E(f344(x16901,x16903,x16904),f344(x16902,x16903,x16904))
% 225.14/225.12 [1691]~E(x16911,x16912)+E(f344(x16913,x16911,x16914),f344(x16913,x16912,x16914))
% 225.14/225.12 [1692]~E(x16921,x16922)+E(f344(x16923,x16924,x16921),f344(x16923,x16924,x16922))
% 225.14/225.12 [1693]~E(x16931,x16932)+E(f227(x16931,x16933),f227(x16932,x16933))
% 225.14/225.12 [1694]~E(x16941,x16942)+E(f227(x16943,x16941),f227(x16943,x16942))
% 225.14/225.12 [1695]~E(x16951,x16952)+E(f630(x16951,x16953,x16954,x16955,x16956),f630(x16952,x16953,x16954,x16955,x16956))
% 225.14/225.12 [1696]~E(x16961,x16962)+E(f630(x16963,x16961,x16964,x16965,x16966),f630(x16963,x16962,x16964,x16965,x16966))
% 225.14/225.12 [1697]~E(x16971,x16972)+E(f630(x16973,x16974,x16971,x16975,x16976),f630(x16973,x16974,x16972,x16975,x16976))
% 225.14/225.12 [1698]~E(x16981,x16982)+E(f630(x16983,x16984,x16985,x16981,x16986),f630(x16983,x16984,x16985,x16982,x16986))
% 225.14/225.12 [1699]~E(x16991,x16992)+E(f630(x16993,x16994,x16995,x16996,x16991),f630(x16993,x16994,x16995,x16996,x16992))
% 225.14/225.12 [1700]~E(x17001,x17002)+E(f891(x17001,x17003,x17004,x17005),f891(x17002,x17003,x17004,x17005))
% 225.14/225.12 [1701]~E(x17011,x17012)+E(f891(x17013,x17011,x17014,x17015),f891(x17013,x17012,x17014,x17015))
% 225.14/225.12 [1702]~E(x17021,x17022)+E(f891(x17023,x17024,x17021,x17025),f891(x17023,x17024,x17022,x17025))
% 225.14/225.12 [1703]~E(x17031,x17032)+E(f891(x17033,x17034,x17035,x17031),f891(x17033,x17034,x17035,x17032))
% 225.14/225.12 [1704]~E(x17041,x17042)+E(f904(x17041,x17043,x17044),f904(x17042,x17043,x17044))
% 225.14/225.12 [1705]~E(x17051,x17052)+E(f904(x17053,x17051,x17054),f904(x17053,x17052,x17054))
% 225.14/225.12 [1706]~E(x17061,x17062)+E(f904(x17063,x17064,x17061),f904(x17063,x17064,x17062))
% 225.14/225.12 [1707]~E(x17071,x17072)+E(f820(x17071,x17073,x17074),f820(x17072,x17073,x17074))
% 225.14/225.12 [1708]~E(x17081,x17082)+E(f820(x17083,x17081,x17084),f820(x17083,x17082,x17084))
% 225.14/225.12 [1709]~E(x17091,x17092)+E(f820(x17093,x17094,x17091),f820(x17093,x17094,x17092))
% 225.14/225.12 [1710]~E(x17101,x17102)+E(f244(x17101,x17103,x17104),f244(x17102,x17103,x17104))
% 225.14/225.12 [1711]~E(x17111,x17112)+E(f244(x17113,x17111,x17114),f244(x17113,x17112,x17114))
% 225.14/225.12 [1712]~E(x17121,x17122)+E(f244(x17123,x17124,x17121),f244(x17123,x17124,x17122))
% 225.14/225.12 [1713]~E(x17131,x17132)+E(f493(x17131,x17133,x17134),f493(x17132,x17133,x17134))
% 225.14/225.12 [1714]~E(x17141,x17142)+E(f493(x17143,x17141,x17144),f493(x17143,x17142,x17144))
% 225.14/225.12 [1715]~E(x17151,x17152)+E(f493(x17153,x17154,x17151),f493(x17153,x17154,x17152))
% 225.14/225.12 [1716]~E(x17161,x17162)+E(f577(x17161,x17163,x17164),f577(x17162,x17163,x17164))
% 225.14/225.12 [1717]~E(x17171,x17172)+E(f577(x17173,x17171,x17174),f577(x17173,x17172,x17174))
% 225.14/225.12 [1718]~E(x17181,x17182)+E(f577(x17183,x17184,x17181),f577(x17183,x17184,x17182))
% 225.14/225.12 [1719]~E(x17191,x17192)+E(f214(x17191,x17193),f214(x17192,x17193))
% 225.14/225.12 [1720]~E(x17201,x17202)+E(f214(x17203,x17201),f214(x17203,x17202))
% 225.14/225.12 [1721]~E(x17211,x17212)+E(f43(x17211),f43(x17212))
% 225.14/225.12 [1722]~E(x17221,x17222)+E(f766(x17221,x17223,x17224),f766(x17222,x17223,x17224))
% 225.14/225.12 [1723]~E(x17231,x17232)+E(f766(x17233,x17231,x17234),f766(x17233,x17232,x17234))
% 225.14/225.12 [1724]~E(x17241,x17242)+E(f766(x17243,x17244,x17241),f766(x17243,x17244,x17242))
% 225.14/225.12 [1725]~E(x17251,x17252)+E(f524(x17251,x17253,x17254,x17255,x17256),f524(x17252,x17253,x17254,x17255,x17256))
% 225.14/225.12 [1726]~E(x17261,x17262)+E(f524(x17263,x17261,x17264,x17265,x17266),f524(x17263,x17262,x17264,x17265,x17266))
% 225.14/225.12 [1727]~E(x17271,x17272)+E(f524(x17273,x17274,x17271,x17275,x17276),f524(x17273,x17274,x17272,x17275,x17276))
% 225.14/225.12 [1728]~E(x17281,x17282)+E(f524(x17283,x17284,x17285,x17281,x17286),f524(x17283,x17284,x17285,x17282,x17286))
% 225.14/225.12 [1729]~E(x17291,x17292)+E(f524(x17293,x17294,x17295,x17296,x17291),f524(x17293,x17294,x17295,x17296,x17292))
% 225.14/225.12 [1730]~E(x17301,x17302)+E(f560(x17301,x17303,x17304,x17305),f560(x17302,x17303,x17304,x17305))
% 225.14/225.12 [1731]~E(x17311,x17312)+E(f560(x17313,x17311,x17314,x17315),f560(x17313,x17312,x17314,x17315))
% 225.14/225.12 [1732]~E(x17321,x17322)+E(f560(x17323,x17324,x17321,x17325),f560(x17323,x17324,x17322,x17325))
% 225.14/225.12 [1733]~E(x17331,x17332)+E(f560(x17333,x17334,x17335,x17331),f560(x17333,x17334,x17335,x17332))
% 225.14/225.12 [1734]~E(x17341,x17342)+E(f646(x17341,x17343,x17344,x17345),f646(x17342,x17343,x17344,x17345))
% 225.14/225.12 [1735]~E(x17351,x17352)+E(f646(x17353,x17351,x17354,x17355),f646(x17353,x17352,x17354,x17355))
% 225.14/225.12 [1736]~E(x17361,x17362)+E(f646(x17363,x17364,x17361,x17365),f646(x17363,x17364,x17362,x17365))
% 225.14/225.12 [1737]~E(x17371,x17372)+E(f646(x17373,x17374,x17375,x17371),f646(x17373,x17374,x17375,x17372))
% 225.14/225.12 [1738]~E(x17381,x17382)+E(f881(x17381,x17383,x17384),f881(x17382,x17383,x17384))
% 225.14/225.12 [1739]~E(x17391,x17392)+E(f881(x17393,x17391,x17394),f881(x17393,x17392,x17394))
% 225.14/225.12 [1740]~E(x17401,x17402)+E(f881(x17403,x17404,x17401),f881(x17403,x17404,x17402))
% 225.14/225.12 [1741]~E(x17411,x17412)+E(f26(x17411,x17413,x17414),f26(x17412,x17413,x17414))
% 225.14/225.12 [1742]~E(x17421,x17422)+E(f26(x17423,x17421,x17424),f26(x17423,x17422,x17424))
% 225.14/225.12 [1743]~E(x17431,x17432)+E(f26(x17433,x17434,x17431),f26(x17433,x17434,x17432))
% 225.14/225.12 [1744]~E(x17441,x17442)+E(f357(x17441,x17443,x17444),f357(x17442,x17443,x17444))
% 225.14/225.12 [1745]~E(x17451,x17452)+E(f357(x17453,x17451,x17454),f357(x17453,x17452,x17454))
% 225.14/225.12 [1746]~E(x17461,x17462)+E(f357(x17463,x17464,x17461),f357(x17463,x17464,x17462))
% 225.14/225.12 [1747]~E(x17471,x17472)+E(f848(x17471,x17473,x17474,x17475,x17476,x17477,x17478,x17479),f848(x17472,x17473,x17474,x17475,x17476,x17477,x17478,x17479))
% 225.14/225.12 [1748]~E(x17481,x17482)+E(f848(x17483,x17481,x17484,x17485,x17486,x17487,x17488,x17489),f848(x17483,x17482,x17484,x17485,x17486,x17487,x17488,x17489))
% 225.14/225.12 [1749]~E(x17491,x17492)+E(f848(x17493,x17494,x17491,x17495,x17496,x17497,x17498,x17499),f848(x17493,x17494,x17492,x17495,x17496,x17497,x17498,x17499))
% 225.14/225.12 [1750]~E(x17501,x17502)+E(f848(x17503,x17504,x17505,x17501,x17506,x17507,x17508,x17509),f848(x17503,x17504,x17505,x17502,x17506,x17507,x17508,x17509))
% 225.14/225.12 [1751]~E(x17511,x17512)+E(f848(x17513,x17514,x17515,x17516,x17511,x17517,x17518,x17519),f848(x17513,x17514,x17515,x17516,x17512,x17517,x17518,x17519))
% 225.14/225.12 [1752]~E(x17521,x17522)+E(f848(x17523,x17524,x17525,x17526,x17527,x17521,x17528,x17529),f848(x17523,x17524,x17525,x17526,x17527,x17522,x17528,x17529))
% 225.14/225.12 [1753]~E(x17531,x17532)+E(f848(x17533,x17534,x17535,x17536,x17537,x17538,x17531,x17539),f848(x17533,x17534,x17535,x17536,x17537,x17538,x17532,x17539))
% 225.14/225.12 [1754]~E(x17541,x17542)+E(f848(x17543,x17544,x17545,x17546,x17547,x17548,x17549,x17541),f848(x17543,x17544,x17545,x17546,x17547,x17548,x17549,x17542))
% 225.14/225.12 [1755]~E(x17551,x17552)+E(f640(x17551,x17553,x17554,x17555,x17556),f640(x17552,x17553,x17554,x17555,x17556))
% 225.14/225.12 [1756]~E(x17561,x17562)+E(f640(x17563,x17561,x17564,x17565,x17566),f640(x17563,x17562,x17564,x17565,x17566))
% 225.14/225.12 [1757]~E(x17571,x17572)+E(f640(x17573,x17574,x17571,x17575,x17576),f640(x17573,x17574,x17572,x17575,x17576))
% 225.14/225.12 [1758]~E(x17581,x17582)+E(f640(x17583,x17584,x17585,x17581,x17586),f640(x17583,x17584,x17585,x17582,x17586))
% 225.14/225.12 [1759]~E(x17591,x17592)+E(f640(x17593,x17594,x17595,x17596,x17591),f640(x17593,x17594,x17595,x17596,x17592))
% 225.14/225.12 [1760]~E(x17601,x17602)+E(f534(x17601,x17603,x17604,x17605,x17606),f534(x17602,x17603,x17604,x17605,x17606))
% 225.14/225.12 [1761]~E(x17611,x17612)+E(f534(x17613,x17611,x17614,x17615,x17616),f534(x17613,x17612,x17614,x17615,x17616))
% 225.14/225.12 [1762]~E(x17621,x17622)+E(f534(x17623,x17624,x17621,x17625,x17626),f534(x17623,x17624,x17622,x17625,x17626))
% 225.14/225.12 [1763]~E(x17631,x17632)+E(f534(x17633,x17634,x17635,x17631,x17636),f534(x17633,x17634,x17635,x17632,x17636))
% 225.14/225.12 [1764]~E(x17641,x17642)+E(f534(x17643,x17644,x17645,x17646,x17641),f534(x17643,x17644,x17645,x17646,x17642))
% 225.14/225.12 [1765]~E(x17651,x17652)+E(f556(x17651,x17653),f556(x17652,x17653))
% 225.14/225.12 [1766]~E(x17661,x17662)+E(f556(x17663,x17661),f556(x17663,x17662))
% 225.14/225.12 [1767]~E(x17671,x17672)+E(f360(x17671,x17673,x17674),f360(x17672,x17673,x17674))
% 225.14/225.12 [1768]~E(x17681,x17682)+E(f360(x17683,x17681,x17684),f360(x17683,x17682,x17684))
% 225.14/225.12 [1769]~E(x17691,x17692)+E(f360(x17693,x17694,x17691),f360(x17693,x17694,x17692))
% 225.14/225.12 [1770]~E(x17701,x17702)+E(f699(x17701,x17703,x17704,x17705,x17706),f699(x17702,x17703,x17704,x17705,x17706))
% 225.14/225.12 [1771]~E(x17711,x17712)+E(f699(x17713,x17711,x17714,x17715,x17716),f699(x17713,x17712,x17714,x17715,x17716))
% 225.14/225.12 [1772]~E(x17721,x17722)+E(f699(x17723,x17724,x17721,x17725,x17726),f699(x17723,x17724,x17722,x17725,x17726))
% 225.14/225.12 [1773]~E(x17731,x17732)+E(f699(x17733,x17734,x17735,x17731,x17736),f699(x17733,x17734,x17735,x17732,x17736))
% 225.14/225.12 [1774]~E(x17741,x17742)+E(f699(x17743,x17744,x17745,x17746,x17741),f699(x17743,x17744,x17745,x17746,x17742))
% 225.14/225.12 [1775]~E(x17751,x17752)+E(f56(x17751),f56(x17752))
% 225.14/225.12 [1776]~E(x17761,x17762)+E(f482(x17761,x17763,x17764,x17765),f482(x17762,x17763,x17764,x17765))
% 225.14/225.12 [1777]~E(x17771,x17772)+E(f482(x17773,x17771,x17774,x17775),f482(x17773,x17772,x17774,x17775))
% 225.14/225.12 [1778]~E(x17781,x17782)+E(f482(x17783,x17784,x17781,x17785),f482(x17783,x17784,x17782,x17785))
% 225.14/225.12 [1779]~E(x17791,x17792)+E(f482(x17793,x17794,x17795,x17791),f482(x17793,x17794,x17795,x17792))
% 225.14/225.12 [1780]~E(x17801,x17802)+E(f894(x17801,x17803,x17804,x17805),f894(x17802,x17803,x17804,x17805))
% 225.14/225.12 [1781]~E(x17811,x17812)+E(f894(x17813,x17811,x17814,x17815),f894(x17813,x17812,x17814,x17815))
% 225.14/225.12 [1782]~E(x17821,x17822)+E(f894(x17823,x17824,x17821,x17825),f894(x17823,x17824,x17822,x17825))
% 225.14/225.12 [1783]~E(x17831,x17832)+E(f894(x17833,x17834,x17835,x17831),f894(x17833,x17834,x17835,x17832))
% 225.14/225.12 [1784]~E(x17841,x17842)+E(f818(x17841,x17843,x17844),f818(x17842,x17843,x17844))
% 225.14/225.12 [1785]~E(x17851,x17852)+E(f818(x17853,x17851,x17854),f818(x17853,x17852,x17854))
% 225.14/225.12 [1786]~E(x17861,x17862)+E(f818(x17863,x17864,x17861),f818(x17863,x17864,x17862))
% 225.14/225.12 [1787]~E(x17871,x17872)+E(f52(x17871,x17873),f52(x17872,x17873))
% 225.14/225.12 [1788]~E(x17881,x17882)+E(f52(x17883,x17881),f52(x17883,x17882))
% 225.14/225.12 [1789]~E(x17891,x17892)+E(f708(x17891,x17893),f708(x17892,x17893))
% 225.14/225.12 [1790]~E(x17901,x17902)+E(f708(x17903,x17901),f708(x17903,x17902))
% 225.14/225.12 [1791]~E(x17911,x17912)+E(f373(x17911,x17913,x17914,x17915,x17916),f373(x17912,x17913,x17914,x17915,x17916))
% 225.14/225.12 [1792]~E(x17921,x17922)+E(f373(x17923,x17921,x17924,x17925,x17926),f373(x17923,x17922,x17924,x17925,x17926))
% 225.14/225.12 [1793]~E(x17931,x17932)+E(f373(x17933,x17934,x17931,x17935,x17936),f373(x17933,x17934,x17932,x17935,x17936))
% 225.14/225.12 [1794]~E(x17941,x17942)+E(f373(x17943,x17944,x17945,x17941,x17946),f373(x17943,x17944,x17945,x17942,x17946))
% 225.14/225.12 [1795]~E(x17951,x17952)+E(f373(x17953,x17954,x17955,x17956,x17951),f373(x17953,x17954,x17955,x17956,x17952))
% 225.14/225.12 [1796]~E(x17961,x17962)+E(f587(x17961,x17963,x17964),f587(x17962,x17963,x17964))
% 225.14/225.12 [1797]~E(x17971,x17972)+E(f587(x17973,x17971,x17974),f587(x17973,x17972,x17974))
% 225.14/225.12 [1798]~E(x17981,x17982)+E(f587(x17983,x17984,x17981),f587(x17983,x17984,x17982))
% 225.14/225.12 [1799]~E(x17991,x17992)+E(f619(x17991,x17993,x17994,x17995,x17996,x17997),f619(x17992,x17993,x17994,x17995,x17996,x17997))
% 225.14/225.12 [1800]~E(x18001,x18002)+E(f619(x18003,x18001,x18004,x18005,x18006,x18007),f619(x18003,x18002,x18004,x18005,x18006,x18007))
% 225.14/225.12 [1801]~E(x18011,x18012)+E(f619(x18013,x18014,x18011,x18015,x18016,x18017),f619(x18013,x18014,x18012,x18015,x18016,x18017))
% 225.14/225.12 [1802]~E(x18021,x18022)+E(f619(x18023,x18024,x18025,x18021,x18026,x18027),f619(x18023,x18024,x18025,x18022,x18026,x18027))
% 225.14/225.12 [1803]~E(x18031,x18032)+E(f619(x18033,x18034,x18035,x18036,x18031,x18037),f619(x18033,x18034,x18035,x18036,x18032,x18037))
% 225.14/225.12 [1804]~E(x18041,x18042)+E(f619(x18043,x18044,x18045,x18046,x18047,x18041),f619(x18043,x18044,x18045,x18046,x18047,x18042))
% 225.14/225.12 [1805]~E(x18051,x18052)+E(f677(x18051,x18053,x18054),f677(x18052,x18053,x18054))
% 225.14/225.12 [1806]~E(x18061,x18062)+E(f677(x18063,x18061,x18064),f677(x18063,x18062,x18064))
% 225.14/225.12 [1807]~E(x18071,x18072)+E(f677(x18073,x18074,x18071),f677(x18073,x18074,x18072))
% 225.14/225.12 [1808]~E(x18081,x18082)+E(f186(x18081),f186(x18082))
% 225.14/225.12 [1809]~E(x18091,x18092)+E(f651(x18091,x18093),f651(x18092,x18093))
% 225.14/225.12 [1810]~E(x18101,x18102)+E(f651(x18103,x18101),f651(x18103,x18102))
% 225.14/225.12 [1811]~E(x18111,x18112)+E(f869(x18111,x18113,x18114),f869(x18112,x18113,x18114))
% 225.14/225.12 [1812]~E(x18121,x18122)+E(f869(x18123,x18121,x18124),f869(x18123,x18122,x18124))
% 225.14/225.12 [1813]~E(x18131,x18132)+E(f869(x18133,x18134,x18131),f869(x18133,x18134,x18132))
% 225.14/225.12 [1814]~E(x18141,x18142)+E(f453(x18141,x18143,x18144,x18145,x18146),f453(x18142,x18143,x18144,x18145,x18146))
% 225.14/225.12 [1815]~E(x18151,x18152)+E(f453(x18153,x18151,x18154,x18155,x18156),f453(x18153,x18152,x18154,x18155,x18156))
% 225.14/225.12 [1816]~E(x18161,x18162)+E(f453(x18163,x18164,x18161,x18165,x18166),f453(x18163,x18164,x18162,x18165,x18166))
% 225.14/225.12 [1817]~E(x18171,x18172)+E(f453(x18173,x18174,x18175,x18171,x18176),f453(x18173,x18174,x18175,x18172,x18176))
% 225.14/225.12 [1818]~E(x18181,x18182)+E(f453(x18183,x18184,x18185,x18186,x18181),f453(x18183,x18184,x18185,x18186,x18182))
% 225.14/225.12 [1819]~E(x18191,x18192)+E(f892(x18191,x18193,x18194,x18195),f892(x18192,x18193,x18194,x18195))
% 225.14/225.12 [1820]~E(x18201,x18202)+E(f892(x18203,x18201,x18204,x18205),f892(x18203,x18202,x18204,x18205))
% 225.14/225.12 [1821]~E(x18211,x18212)+E(f892(x18213,x18214,x18211,x18215),f892(x18213,x18214,x18212,x18215))
% 225.14/225.12 [1822]~E(x18221,x18222)+E(f892(x18223,x18224,x18225,x18221),f892(x18223,x18224,x18225,x18222))
% 225.14/225.12 [1823]~E(x18231,x18232)+E(f647(x18231,x18233,x18234,x18235,x18236,x18237),f647(x18232,x18233,x18234,x18235,x18236,x18237))
% 225.14/225.12 [1824]~E(x18241,x18242)+E(f647(x18243,x18241,x18244,x18245,x18246,x18247),f647(x18243,x18242,x18244,x18245,x18246,x18247))
% 225.14/225.12 [1825]~E(x18251,x18252)+E(f647(x18253,x18254,x18251,x18255,x18256,x18257),f647(x18253,x18254,x18252,x18255,x18256,x18257))
% 225.14/225.12 [1826]~E(x18261,x18262)+E(f647(x18263,x18264,x18265,x18261,x18266,x18267),f647(x18263,x18264,x18265,x18262,x18266,x18267))
% 225.14/225.12 [1827]~E(x18271,x18272)+E(f647(x18273,x18274,x18275,x18276,x18271,x18277),f647(x18273,x18274,x18275,x18276,x18272,x18277))
% 225.14/225.12 [1828]~E(x18281,x18282)+E(f647(x18283,x18284,x18285,x18286,x18287,x18281),f647(x18283,x18284,x18285,x18286,x18287,x18282))
% 225.14/225.12 [1829]~E(x18291,x18292)+E(f837(x18291,x18293,x18294,x18295,x18296,x18297),f837(x18292,x18293,x18294,x18295,x18296,x18297))
% 225.14/225.12 [1830]~E(x18301,x18302)+E(f837(x18303,x18301,x18304,x18305,x18306,x18307),f837(x18303,x18302,x18304,x18305,x18306,x18307))
% 225.14/225.12 [1831]~E(x18311,x18312)+E(f837(x18313,x18314,x18311,x18315,x18316,x18317),f837(x18313,x18314,x18312,x18315,x18316,x18317))
% 225.14/225.12 [1832]~E(x18321,x18322)+E(f837(x18323,x18324,x18325,x18321,x18326,x18327),f837(x18323,x18324,x18325,x18322,x18326,x18327))
% 225.14/225.12 [1833]~E(x18331,x18332)+E(f837(x18333,x18334,x18335,x18336,x18331,x18337),f837(x18333,x18334,x18335,x18336,x18332,x18337))
% 225.14/225.12 [1834]~E(x18341,x18342)+E(f837(x18343,x18344,x18345,x18346,x18347,x18341),f837(x18343,x18344,x18345,x18346,x18347,x18342))
% 225.14/225.12 [1835]~E(x18351,x18352)+E(f853(x18351,x18353,x18354,x18355),f853(x18352,x18353,x18354,x18355))
% 225.14/225.12 [1836]~E(x18361,x18362)+E(f853(x18363,x18361,x18364,x18365),f853(x18363,x18362,x18364,x18365))
% 225.14/225.12 [1837]~E(x18371,x18372)+E(f853(x18373,x18374,x18371,x18375),f853(x18373,x18374,x18372,x18375))
% 225.14/225.12 [1838]~E(x18381,x18382)+E(f853(x18383,x18384,x18385,x18381),f853(x18383,x18384,x18385,x18382))
% 225.14/225.12 [1839]~E(x18391,x18392)+E(f625(x18391,x18393,x18394),f625(x18392,x18393,x18394))
% 225.14/225.12 [1840]~E(x18401,x18402)+E(f625(x18403,x18401,x18404),f625(x18403,x18402,x18404))
% 225.14/225.12 [1841]~E(x18411,x18412)+E(f625(x18413,x18414,x18411),f625(x18413,x18414,x18412))
% 225.14/225.12 [1842]~E(x18421,x18422)+E(f117(x18421,x18423,x18424),f117(x18422,x18423,x18424))
% 225.14/225.12 [1843]~E(x18431,x18432)+E(f117(x18433,x18431,x18434),f117(x18433,x18432,x18434))
% 225.14/225.12 [1844]~E(x18441,x18442)+E(f117(x18443,x18444,x18441),f117(x18443,x18444,x18442))
% 225.14/225.12 [1845]~E(x18451,x18452)+E(f797(x18451,x18453,x18454),f797(x18452,x18453,x18454))
% 225.14/225.12 [1846]~E(x18461,x18462)+E(f797(x18463,x18461,x18464),f797(x18463,x18462,x18464))
% 225.14/225.12 [1847]~E(x18471,x18472)+E(f797(x18473,x18474,x18471),f797(x18473,x18474,x18472))
% 225.14/225.12 [1848]~E(x18481,x18482)+E(f600(x18481,x18483,x18484),f600(x18482,x18483,x18484))
% 225.14/225.12 [1849]~E(x18491,x18492)+E(f600(x18493,x18491,x18494),f600(x18493,x18492,x18494))
% 225.14/225.12 [1850]~E(x18501,x18502)+E(f600(x18503,x18504,x18501),f600(x18503,x18504,x18502))
% 225.14/225.12 [1851]~E(x18511,x18512)+E(f825(x18511,x18513,x18514,x18515),f825(x18512,x18513,x18514,x18515))
% 225.14/225.12 [1852]~E(x18521,x18522)+E(f825(x18523,x18521,x18524,x18525),f825(x18523,x18522,x18524,x18525))
% 225.14/225.12 [1853]~E(x18531,x18532)+E(f825(x18533,x18534,x18531,x18535),f825(x18533,x18534,x18532,x18535))
% 225.14/225.12 [1854]~E(x18541,x18542)+E(f825(x18543,x18544,x18545,x18541),f825(x18543,x18544,x18545,x18542))
% 225.14/225.12 [1855]~E(x18551,x18552)+E(f320(x18551,x18553,x18554),f320(x18552,x18553,x18554))
% 225.14/225.12 [1856]~E(x18561,x18562)+E(f320(x18563,x18561,x18564),f320(x18563,x18562,x18564))
% 225.14/225.12 [1857]~E(x18571,x18572)+E(f320(x18573,x18574,x18571),f320(x18573,x18574,x18572))
% 225.14/225.12 [1858]~E(x18581,x18582)+E(f852(x18581,x18583,x18584),f852(x18582,x18583,x18584))
% 225.14/225.12 [1859]~E(x18591,x18592)+E(f852(x18593,x18591,x18594),f852(x18593,x18592,x18594))
% 225.14/225.12 [1860]~E(x18601,x18602)+E(f852(x18603,x18604,x18601),f852(x18603,x18604,x18602))
% 225.14/225.12 [1861]~E(x18611,x18612)+E(f691(x18611,x18613,x18614),f691(x18612,x18613,x18614))
% 225.14/225.12 [1862]~E(x18621,x18622)+E(f691(x18623,x18621,x18624),f691(x18623,x18622,x18624))
% 225.14/225.12 [1863]~E(x18631,x18632)+E(f691(x18633,x18634,x18631),f691(x18633,x18634,x18632))
% 225.14/225.12 [1864]~E(x18641,x18642)+E(f757(x18641,x18643,x18644),f757(x18642,x18643,x18644))
% 225.14/225.12 [1865]~E(x18651,x18652)+E(f757(x18653,x18651,x18654),f757(x18653,x18652,x18654))
% 225.14/225.12 [1866]~E(x18661,x18662)+E(f757(x18663,x18664,x18661),f757(x18663,x18664,x18662))
% 225.14/225.12 [1867]~E(x18671,x18672)+E(f428(x18671,x18673,x18674,x18675),f428(x18672,x18673,x18674,x18675))
% 225.14/225.12 [1868]~E(x18681,x18682)+E(f428(x18683,x18681,x18684,x18685),f428(x18683,x18682,x18684,x18685))
% 225.14/225.12 [1869]~E(x18691,x18692)+E(f428(x18693,x18694,x18691,x18695),f428(x18693,x18694,x18692,x18695))
% 225.14/225.12 [1870]~E(x18701,x18702)+E(f428(x18703,x18704,x18705,x18701),f428(x18703,x18704,x18705,x18702))
% 225.14/225.12 [1871]~E(x18711,x18712)+E(f92(x18711,x18713,x18714),f92(x18712,x18713,x18714))
% 225.14/225.12 [1872]~E(x18721,x18722)+E(f92(x18723,x18721,x18724),f92(x18723,x18722,x18724))
% 225.14/225.12 [1873]~E(x18731,x18732)+E(f92(x18733,x18734,x18731),f92(x18733,x18734,x18732))
% 225.14/225.12 [1874]~E(x18741,x18742)+E(f472(x18741,x18743,x18744,x18745),f472(x18742,x18743,x18744,x18745))
% 225.14/225.12 [1875]~E(x18751,x18752)+E(f472(x18753,x18751,x18754,x18755),f472(x18753,x18752,x18754,x18755))
% 225.14/225.12 [1876]~E(x18761,x18762)+E(f472(x18763,x18764,x18761,x18765),f472(x18763,x18764,x18762,x18765))
% 225.14/225.12 [1877]~E(x18771,x18772)+E(f472(x18773,x18774,x18775,x18771),f472(x18773,x18774,x18775,x18772))
% 225.14/225.12 [1878]~E(x18781,x18782)+E(f401(x18781,x18783,x18784),f401(x18782,x18783,x18784))
% 225.14/225.12 [1879]~E(x18791,x18792)+E(f401(x18793,x18791,x18794),f401(x18793,x18792,x18794))
% 225.14/225.12 [1880]~E(x18801,x18802)+E(f401(x18803,x18804,x18801),f401(x18803,x18804,x18802))
% 225.14/225.12 [1881]~E(x18811,x18812)+E(f578(x18811,x18813,x18814,x18815),f578(x18812,x18813,x18814,x18815))
% 225.14/225.12 [1882]~E(x18821,x18822)+E(f578(x18823,x18821,x18824,x18825),f578(x18823,x18822,x18824,x18825))
% 225.14/225.12 [1883]~E(x18831,x18832)+E(f578(x18833,x18834,x18831,x18835),f578(x18833,x18834,x18832,x18835))
% 225.14/225.12 [1884]~E(x18841,x18842)+E(f578(x18843,x18844,x18845,x18841),f578(x18843,x18844,x18845,x18842))
% 225.14/225.12 [1885]~E(x18851,x18852)+E(f278(x18851,x18853,x18854,x18855),f278(x18852,x18853,x18854,x18855))
% 225.14/225.12 [1886]~E(x18861,x18862)+E(f278(x18863,x18861,x18864,x18865),f278(x18863,x18862,x18864,x18865))
% 225.14/225.12 [1887]~E(x18871,x18872)+E(f278(x18873,x18874,x18871,x18875),f278(x18873,x18874,x18872,x18875))
% 225.14/225.12 [1888]~E(x18881,x18882)+E(f278(x18883,x18884,x18885,x18881),f278(x18883,x18884,x18885,x18882))
% 225.14/225.12 [1889]~E(x18891,x18892)+E(f733(x18891,x18893),f733(x18892,x18893))
% 225.14/225.12 [1890]~E(x18901,x18902)+E(f733(x18903,x18901),f733(x18903,x18902))
% 225.14/225.12 [1891]~E(x18911,x18912)+E(f454(x18911,x18913,x18914,x18915,x18916),f454(x18912,x18913,x18914,x18915,x18916))
% 225.14/225.12 [1892]~E(x18921,x18922)+E(f454(x18923,x18921,x18924,x18925,x18926),f454(x18923,x18922,x18924,x18925,x18926))
% 225.14/225.12 [1893]~E(x18931,x18932)+E(f454(x18933,x18934,x18931,x18935,x18936),f454(x18933,x18934,x18932,x18935,x18936))
% 225.14/225.12 [1894]~E(x18941,x18942)+E(f454(x18943,x18944,x18945,x18941,x18946),f454(x18943,x18944,x18945,x18942,x18946))
% 225.14/225.12 [1895]~E(x18951,x18952)+E(f454(x18953,x18954,x18955,x18956,x18951),f454(x18953,x18954,x18955,x18956,x18952))
% 225.14/225.12 [1896]~E(x18961,x18962)+E(f582(x18961,x18963),f582(x18962,x18963))
% 225.14/225.12 [1897]~E(x18971,x18972)+E(f582(x18973,x18971),f582(x18973,x18972))
% 225.14/225.12 [1898]~E(x18981,x18982)+E(f485(x18981,x18983,x18984,x18985),f485(x18982,x18983,x18984,x18985))
% 225.14/225.12 [1899]~E(x18991,x18992)+E(f485(x18993,x18991,x18994,x18995),f485(x18993,x18992,x18994,x18995))
% 225.14/225.12 [1900]~E(x19001,x19002)+E(f485(x19003,x19004,x19001,x19005),f485(x19003,x19004,x19002,x19005))
% 225.14/225.12 [1901]~E(x19011,x19012)+E(f485(x19013,x19014,x19015,x19011),f485(x19013,x19014,x19015,x19012))
% 225.14/225.12 [1902]~E(x19021,x19022)+E(f606(x19021,x19023,x19024,x19025,x19026,x19027),f606(x19022,x19023,x19024,x19025,x19026,x19027))
% 225.14/225.12 [1903]~E(x19031,x19032)+E(f606(x19033,x19031,x19034,x19035,x19036,x19037),f606(x19033,x19032,x19034,x19035,x19036,x19037))
% 225.14/225.12 [1904]~E(x19041,x19042)+E(f606(x19043,x19044,x19041,x19045,x19046,x19047),f606(x19043,x19044,x19042,x19045,x19046,x19047))
% 225.14/225.12 [1905]~E(x19051,x19052)+E(f606(x19053,x19054,x19055,x19051,x19056,x19057),f606(x19053,x19054,x19055,x19052,x19056,x19057))
% 225.14/225.12 [1906]~E(x19061,x19062)+E(f606(x19063,x19064,x19065,x19066,x19061,x19067),f606(x19063,x19064,x19065,x19066,x19062,x19067))
% 225.14/225.12 [1907]~E(x19071,x19072)+E(f606(x19073,x19074,x19075,x19076,x19077,x19071),f606(x19073,x19074,x19075,x19076,x19077,x19072))
% 225.14/225.12 [1908]~E(x19081,x19082)+E(f824(x19081,x19083),f824(x19082,x19083))
% 225.14/225.12 [1909]~E(x19091,x19092)+E(f824(x19093,x19091),f824(x19093,x19092))
% 225.14/225.12 [1910]~E(x19101,x19102)+E(f767(x19101,x19103),f767(x19102,x19103))
% 225.14/225.12 [1911]~E(x19111,x19112)+E(f767(x19113,x19111),f767(x19113,x19112))
% 225.14/225.12 [1912]~E(x19121,x19122)+E(f782(x19121,x19123,x19124,x19125),f782(x19122,x19123,x19124,x19125))
% 225.14/225.12 [1913]~E(x19131,x19132)+E(f782(x19133,x19131,x19134,x19135),f782(x19133,x19132,x19134,x19135))
% 225.14/225.12 [1914]~E(x19141,x19142)+E(f782(x19143,x19144,x19141,x19145),f782(x19143,x19144,x19142,x19145))
% 225.14/225.12 [1915]~E(x19151,x19152)+E(f782(x19153,x19154,x19155,x19151),f782(x19153,x19154,x19155,x19152))
% 225.14/225.12 [1916]~E(x19161,x19162)+E(f519(x19161,x19163,x19164,x19165,x19166),f519(x19162,x19163,x19164,x19165,x19166))
% 225.14/225.12 [1917]~E(x19171,x19172)+E(f519(x19173,x19171,x19174,x19175,x19176),f519(x19173,x19172,x19174,x19175,x19176))
% 225.14/225.12 [1918]~E(x19181,x19182)+E(f519(x19183,x19184,x19181,x19185,x19186),f519(x19183,x19184,x19182,x19185,x19186))
% 225.14/225.12 [1919]~E(x19191,x19192)+E(f519(x19193,x19194,x19195,x19191,x19196),f519(x19193,x19194,x19195,x19192,x19196))
% 225.14/225.12 [1920]~E(x19201,x19202)+E(f519(x19203,x19204,x19205,x19206,x19201),f519(x19203,x19204,x19205,x19206,x19202))
% 225.14/225.12 [1921]~E(x19211,x19212)+E(f279(x19211,x19213,x19214,x19215),f279(x19212,x19213,x19214,x19215))
% 225.14/225.12 [1922]~E(x19221,x19222)+E(f279(x19223,x19221,x19224,x19225),f279(x19223,x19222,x19224,x19225))
% 225.14/225.12 [1923]~E(x19231,x19232)+E(f279(x19233,x19234,x19231,x19235),f279(x19233,x19234,x19232,x19235))
% 225.14/225.12 [1924]~E(x19241,x19242)+E(f279(x19243,x19244,x19245,x19241),f279(x19243,x19244,x19245,x19242))
% 225.14/225.12 [1925]~E(x19251,x19252)+E(f777(x19251,x19253,x19254,x19255),f777(x19252,x19253,x19254,x19255))
% 225.14/225.12 [1926]~E(x19261,x19262)+E(f777(x19263,x19261,x19264,x19265),f777(x19263,x19262,x19264,x19265))
% 225.14/225.12 [1927]~E(x19271,x19272)+E(f777(x19273,x19274,x19271,x19275),f777(x19273,x19274,x19272,x19275))
% 225.14/225.12 [1928]~E(x19281,x19282)+E(f777(x19283,x19284,x19285,x19281),f777(x19283,x19284,x19285,x19282))
% 225.14/225.12 [1929]~E(x19291,x19292)+E(f902(x19291,x19293,x19294,x19295,x19296),f902(x19292,x19293,x19294,x19295,x19296))
% 225.14/225.12 [1930]~E(x19301,x19302)+E(f902(x19303,x19301,x19304,x19305,x19306),f902(x19303,x19302,x19304,x19305,x19306))
% 225.14/225.12 [1931]~E(x19311,x19312)+E(f902(x19313,x19314,x19311,x19315,x19316),f902(x19313,x19314,x19312,x19315,x19316))
% 225.14/225.12 [1932]~E(x19321,x19322)+E(f902(x19323,x19324,x19325,x19321,x19326),f902(x19323,x19324,x19325,x19322,x19326))
% 225.14/225.12 [1933]~E(x19331,x19332)+E(f902(x19333,x19334,x19335,x19336,x19331),f902(x19333,x19334,x19335,x19336,x19332))
% 225.14/225.12 [1934]~E(x19341,x19342)+E(f604(x19341,x19343,x19344),f604(x19342,x19343,x19344))
% 225.14/225.12 [1935]~E(x19351,x19352)+E(f604(x19353,x19351,x19354),f604(x19353,x19352,x19354))
% 225.14/225.12 [1936]~E(x19361,x19362)+E(f604(x19363,x19364,x19361),f604(x19363,x19364,x19362))
% 225.14/225.12 [1937]~E(x19371,x19372)+E(f529(x19371,x19373,x19374,x19375,x19376),f529(x19372,x19373,x19374,x19375,x19376))
% 225.14/225.12 [1938]~E(x19381,x19382)+E(f529(x19383,x19381,x19384,x19385,x19386),f529(x19383,x19382,x19384,x19385,x19386))
% 225.14/225.12 [1939]~E(x19391,x19392)+E(f529(x19393,x19394,x19391,x19395,x19396),f529(x19393,x19394,x19392,x19395,x19396))
% 225.14/225.12 [1940]~E(x19401,x19402)+E(f529(x19403,x19404,x19405,x19401,x19406),f529(x19403,x19404,x19405,x19402,x19406))
% 225.14/225.12 [1941]~E(x19411,x19412)+E(f529(x19413,x19414,x19415,x19416,x19411),f529(x19413,x19414,x19415,x19416,x19412))
% 225.14/225.12 [1942]~E(x19421,x19422)+E(f613(x19421,x19423,x19424),f613(x19422,x19423,x19424))
% 225.14/225.12 [1943]~E(x19431,x19432)+E(f613(x19433,x19431,x19434),f613(x19433,x19432,x19434))
% 225.14/225.12 [1944]~E(x19441,x19442)+E(f613(x19443,x19444,x19441),f613(x19443,x19444,x19442))
% 225.14/225.12 [1945]~E(x19451,x19452)+E(f760(x19451,x19453,x19454),f760(x19452,x19453,x19454))
% 225.14/225.12 [1946]~E(x19461,x19462)+E(f760(x19463,x19461,x19464),f760(x19463,x19462,x19464))
% 225.14/225.12 [1947]~E(x19471,x19472)+E(f760(x19473,x19474,x19471),f760(x19473,x19474,x19472))
% 225.14/225.12 [1948]~E(x19481,x19482)+E(f277(x19481),f277(x19482))
% 225.14/225.12 [1949]~E(x19491,x19492)+E(f299(x19491,x19493,x19494,x19495,x19496),f299(x19492,x19493,x19494,x19495,x19496))
% 225.14/225.12 [1950]~E(x19501,x19502)+E(f299(x19503,x19501,x19504,x19505,x19506),f299(x19503,x19502,x19504,x19505,x19506))
% 225.14/225.12 [1951]~E(x19511,x19512)+E(f299(x19513,x19514,x19511,x19515,x19516),f299(x19513,x19514,x19512,x19515,x19516))
% 225.14/225.12 [1952]~E(x19521,x19522)+E(f299(x19523,x19524,x19525,x19521,x19526),f299(x19523,x19524,x19525,x19522,x19526))
% 225.14/225.12 [1953]~E(x19531,x19532)+E(f299(x19533,x19534,x19535,x19536,x19531),f299(x19533,x19534,x19535,x19536,x19532))
% 225.14/225.12 [1954]~E(x19541,x19542)+E(f622(x19541,x19543,x19544),f622(x19542,x19543,x19544))
% 225.14/225.12 [1955]~E(x19551,x19552)+E(f622(x19553,x19551,x19554),f622(x19553,x19552,x19554))
% 225.14/225.12 [1956]~E(x19561,x19562)+E(f622(x19563,x19564,x19561),f622(x19563,x19564,x19562))
% 225.14/225.12 [1957]~E(x19571,x19572)+E(f201(x19571),f201(x19572))
% 225.14/225.12 [1958]~E(x19581,x19582)+E(f867(x19581,x19583,x19584),f867(x19582,x19583,x19584))
% 225.14/225.12 [1959]~E(x19591,x19592)+E(f867(x19593,x19591,x19594),f867(x19593,x19592,x19594))
% 225.14/225.12 [1960]~E(x19601,x19602)+E(f867(x19603,x19604,x19601),f867(x19603,x19604,x19602))
% 225.14/225.12 [1961]~E(x19611,x19612)+E(f409(x19611,x19613,x19614,x19615),f409(x19612,x19613,x19614,x19615))
% 225.14/225.12 [1962]~E(x19621,x19622)+E(f409(x19623,x19621,x19624,x19625),f409(x19623,x19622,x19624,x19625))
% 225.14/225.12 [1963]~E(x19631,x19632)+E(f409(x19633,x19634,x19631,x19635),f409(x19633,x19634,x19632,x19635))
% 225.14/225.12 [1964]~E(x19641,x19642)+E(f409(x19643,x19644,x19645,x19641),f409(x19643,x19644,x19645,x19642))
% 225.14/225.12 [1965]~E(x19651,x19652)+E(f231(x19651,x19653,x19654,x19655),f231(x19652,x19653,x19654,x19655))
% 225.14/225.12 [1966]~E(x19661,x19662)+E(f231(x19663,x19661,x19664,x19665),f231(x19663,x19662,x19664,x19665))
% 225.14/225.12 [1967]~E(x19671,x19672)+E(f231(x19673,x19674,x19671,x19675),f231(x19673,x19674,x19672,x19675))
% 225.14/225.12 [1968]~E(x19681,x19682)+E(f231(x19683,x19684,x19685,x19681),f231(x19683,x19684,x19685,x19682))
% 225.14/225.12 [1969]~E(x19691,x19692)+E(f202(x19691,x19693),f202(x19692,x19693))
% 225.14/225.12 [1970]~E(x19701,x19702)+E(f202(x19703,x19701),f202(x19703,x19702))
% 225.14/225.12 [1971]~E(x19711,x19712)+E(f823(x19711,x19713),f823(x19712,x19713))
% 225.14/225.12 [1972]~E(x19721,x19722)+E(f823(x19723,x19721),f823(x19723,x19722))
% 225.14/225.12 [1973]~E(x19731,x19732)+E(f756(x19731,x19733),f756(x19732,x19733))
% 225.14/225.12 [1974]~E(x19741,x19742)+E(f756(x19743,x19741),f756(x19743,x19742))
% 225.14/225.12 [1975]~E(x19751,x19752)+E(f774(x19751,x19753,x19754,x19755,x19756),f774(x19752,x19753,x19754,x19755,x19756))
% 225.14/225.12 [1976]~E(x19761,x19762)+E(f774(x19763,x19761,x19764,x19765,x19766),f774(x19763,x19762,x19764,x19765,x19766))
% 225.14/225.12 [1977]~E(x19771,x19772)+E(f774(x19773,x19774,x19771,x19775,x19776),f774(x19773,x19774,x19772,x19775,x19776))
% 225.14/225.12 [1978]~E(x19781,x19782)+E(f774(x19783,x19784,x19785,x19781,x19786),f774(x19783,x19784,x19785,x19782,x19786))
% 225.14/225.12 [1979]~E(x19791,x19792)+E(f774(x19793,x19794,x19795,x19796,x19791),f774(x19793,x19794,x19795,x19796,x19792))
% 225.14/225.12 [1980]~E(x19801,x19802)+E(f595(x19801,x19803,x19804,x19805,x19806,x19807),f595(x19802,x19803,x19804,x19805,x19806,x19807))
% 225.14/225.12 [1981]~E(x19811,x19812)+E(f595(x19813,x19811,x19814,x19815,x19816,x19817),f595(x19813,x19812,x19814,x19815,x19816,x19817))
% 225.14/225.12 [1982]~E(x19821,x19822)+E(f595(x19823,x19824,x19821,x19825,x19826,x19827),f595(x19823,x19824,x19822,x19825,x19826,x19827))
% 225.14/225.12 [1983]~E(x19831,x19832)+E(f595(x19833,x19834,x19835,x19831,x19836,x19837),f595(x19833,x19834,x19835,x19832,x19836,x19837))
% 225.14/225.12 [1984]~E(x19841,x19842)+E(f595(x19843,x19844,x19845,x19846,x19841,x19847),f595(x19843,x19844,x19845,x19846,x19842,x19847))
% 225.14/225.12 [1985]~E(x19851,x19852)+E(f595(x19853,x19854,x19855,x19856,x19857,x19851),f595(x19853,x19854,x19855,x19856,x19857,x19852))
% 225.14/225.12 [1986]~E(x19861,x19862)+E(f464(x19861,x19863,x19864),f464(x19862,x19863,x19864))
% 225.14/225.12 [1987]~E(x19871,x19872)+E(f464(x19873,x19871,x19874),f464(x19873,x19872,x19874))
% 225.14/225.12 [1988]~E(x19881,x19882)+E(f464(x19883,x19884,x19881),f464(x19883,x19884,x19882))
% 225.14/225.12 [1989]~E(x19891,x19892)+E(f596(x19891,x19893,x19894,x19895,x19896,x19897),f596(x19892,x19893,x19894,x19895,x19896,x19897))
% 225.14/225.12 [1990]~E(x19901,x19902)+E(f596(x19903,x19901,x19904,x19905,x19906,x19907),f596(x19903,x19902,x19904,x19905,x19906,x19907))
% 225.14/225.12 [1991]~E(x19911,x19912)+E(f596(x19913,x19914,x19911,x19915,x19916,x19917),f596(x19913,x19914,x19912,x19915,x19916,x19917))
% 225.14/225.12 [1992]~E(x19921,x19922)+E(f596(x19923,x19924,x19925,x19921,x19926,x19927),f596(x19923,x19924,x19925,x19922,x19926,x19927))
% 225.14/225.12 [1993]~E(x19931,x19932)+E(f596(x19933,x19934,x19935,x19936,x19931,x19937),f596(x19933,x19934,x19935,x19936,x19932,x19937))
% 225.14/225.12 [1994]~E(x19941,x19942)+E(f596(x19943,x19944,x19945,x19946,x19947,x19941),f596(x19943,x19944,x19945,x19946,x19947,x19942))
% 225.14/225.12 [1995]~E(x19951,x19952)+E(f603(x19951,x19953,x19954),f603(x19952,x19953,x19954))
% 225.14/225.12 [1996]~E(x19961,x19962)+E(f603(x19963,x19961,x19964),f603(x19963,x19962,x19964))
% 225.14/225.12 [1997]~E(x19971,x19972)+E(f603(x19973,x19974,x19971),f603(x19973,x19974,x19972))
% 225.14/225.12 [1998]~E(x19981,x19982)+E(f593(x19981,x19983,x19984,x19985,x19986,x19987),f593(x19982,x19983,x19984,x19985,x19986,x19987))
% 225.14/225.12 [1999]~E(x19991,x19992)+E(f593(x19993,x19991,x19994,x19995,x19996,x19997),f593(x19993,x19992,x19994,x19995,x19996,x19997))
% 225.14/225.12 [2000]~E(x20001,x20002)+E(f593(x20003,x20004,x20001,x20005,x20006,x20007),f593(x20003,x20004,x20002,x20005,x20006,x20007))
% 225.14/225.12 [2001]~E(x20011,x20012)+E(f593(x20013,x20014,x20015,x20011,x20016,x20017),f593(x20013,x20014,x20015,x20012,x20016,x20017))
% 225.14/225.12 [2002]~E(x20021,x20022)+E(f593(x20023,x20024,x20025,x20026,x20021,x20027),f593(x20023,x20024,x20025,x20026,x20022,x20027))
% 225.14/225.12 [2003]~E(x20031,x20032)+E(f593(x20033,x20034,x20035,x20036,x20037,x20031),f593(x20033,x20034,x20035,x20036,x20037,x20032))
% 225.14/225.12 [2004]~E(x20041,x20042)+E(f877(x20041,x20043),f877(x20042,x20043))
% 225.14/225.12 [2005]~E(x20051,x20052)+E(f877(x20053,x20051),f877(x20053,x20052))
% 225.14/225.12 [2006]~E(x20061,x20062)+E(f429(x20061,x20063,x20064,x20065),f429(x20062,x20063,x20064,x20065))
% 225.14/225.12 [2007]~E(x20071,x20072)+E(f429(x20073,x20071,x20074,x20075),f429(x20073,x20072,x20074,x20075))
% 225.14/225.12 [2008]~E(x20081,x20082)+E(f429(x20083,x20084,x20081,x20085),f429(x20083,x20084,x20082,x20085))
% 225.14/225.12 [2009]~E(x20091,x20092)+E(f429(x20093,x20094,x20095,x20091),f429(x20093,x20094,x20095,x20092))
% 225.14/225.12 [2010]~E(x20101,x20102)+E(f449(x20101,x20103,x20104),f449(x20102,x20103,x20104))
% 225.14/225.12 [2011]~E(x20111,x20112)+E(f449(x20113,x20111,x20114),f449(x20113,x20112,x20114))
% 225.14/225.12 [2012]~E(x20121,x20122)+E(f449(x20123,x20124,x20121),f449(x20123,x20124,x20122))
% 225.14/225.12 [2013]~E(x20131,x20132)+E(f461(x20131,x20133),f461(x20132,x20133))
% 225.14/225.12 [2014]~E(x20141,x20142)+E(f461(x20143,x20141),f461(x20143,x20142))
% 225.14/225.12 [2015]~E(x20151,x20152)+E(f222(x20151,x20153,x20154),f222(x20152,x20153,x20154))
% 225.14/225.12 [2016]~E(x20161,x20162)+E(f222(x20163,x20161,x20164),f222(x20163,x20162,x20164))
% 225.14/225.12 [2017]~E(x20171,x20172)+E(f222(x20173,x20174,x20171),f222(x20173,x20174,x20172))
% 225.14/225.12 [2018]~E(x20181,x20182)+E(f73(x20181,x20183),f73(x20182,x20183))
% 225.14/225.12 [2019]~E(x20191,x20192)+E(f73(x20193,x20191),f73(x20193,x20192))
% 225.14/225.12 [2020]~E(x20201,x20202)+E(f698(x20201,x20203,x20204,x20205),f698(x20202,x20203,x20204,x20205))
% 225.14/225.12 [2021]~E(x20211,x20212)+E(f698(x20213,x20211,x20214,x20215),f698(x20213,x20212,x20214,x20215))
% 225.14/225.12 [2022]~E(x20221,x20222)+E(f698(x20223,x20224,x20221,x20225),f698(x20223,x20224,x20222,x20225))
% 225.14/225.12 [2023]~E(x20231,x20232)+E(f698(x20233,x20234,x20235,x20231),f698(x20233,x20234,x20235,x20232))
% 225.14/225.12 [2024]~E(x20241,x20242)+E(f463(x20241,x20243,x20244),f463(x20242,x20243,x20244))
% 225.14/225.12 [2025]~E(x20251,x20252)+E(f463(x20253,x20251,x20254),f463(x20253,x20252,x20254))
% 225.14/225.12 [2026]~E(x20261,x20262)+E(f463(x20263,x20264,x20261),f463(x20263,x20264,x20262))
% 225.14/225.12 [2027]~E(x20271,x20272)+E(f494(x20271,x20273,x20274,x20275,x20276),f494(x20272,x20273,x20274,x20275,x20276))
% 225.14/225.12 [2028]~E(x20281,x20282)+E(f494(x20283,x20281,x20284,x20285,x20286),f494(x20283,x20282,x20284,x20285,x20286))
% 225.14/225.12 [2029]~E(x20291,x20292)+E(f494(x20293,x20294,x20291,x20295,x20296),f494(x20293,x20294,x20292,x20295,x20296))
% 225.14/225.12 [2030]~E(x20301,x20302)+E(f494(x20303,x20304,x20305,x20301,x20306),f494(x20303,x20304,x20305,x20302,x20306))
% 225.14/225.12 [2031]~E(x20311,x20312)+E(f494(x20313,x20314,x20315,x20316,x20311),f494(x20313,x20314,x20315,x20316,x20312))
% 225.14/225.12 [2032]~E(x20321,x20322)+E(f690(x20321,x20323,x20324,x20325,x20326),f690(x20322,x20323,x20324,x20325,x20326))
% 225.14/225.12 [2033]~E(x20331,x20332)+E(f690(x20333,x20331,x20334,x20335,x20336),f690(x20333,x20332,x20334,x20335,x20336))
% 225.14/225.12 [2034]~E(x20341,x20342)+E(f690(x20343,x20344,x20341,x20345,x20346),f690(x20343,x20344,x20342,x20345,x20346))
% 225.14/225.12 [2035]~E(x20351,x20352)+E(f690(x20353,x20354,x20355,x20351,x20356),f690(x20353,x20354,x20355,x20352,x20356))
% 225.14/225.12 [2036]~E(x20361,x20362)+E(f690(x20363,x20364,x20365,x20366,x20361),f690(x20363,x20364,x20365,x20366,x20362))
% 225.14/225.12 [2037]~E(x20371,x20372)+E(f418(x20371,x20373,x20374,x20375),f418(x20372,x20373,x20374,x20375))
% 225.14/225.12 [2038]~E(x20381,x20382)+E(f418(x20383,x20381,x20384,x20385),f418(x20383,x20382,x20384,x20385))
% 225.14/225.12 [2039]~E(x20391,x20392)+E(f418(x20393,x20394,x20391,x20395),f418(x20393,x20394,x20392,x20395))
% 225.14/225.12 [2040]~E(x20401,x20402)+E(f418(x20403,x20404,x20405,x20401),f418(x20403,x20404,x20405,x20402))
% 225.14/225.12 [2041]~E(x20411,x20412)+E(f681(x20411,x20413,x20414,x20415,x20416),f681(x20412,x20413,x20414,x20415,x20416))
% 225.14/225.12 [2042]~E(x20421,x20422)+E(f681(x20423,x20421,x20424,x20425,x20426),f681(x20423,x20422,x20424,x20425,x20426))
% 225.14/225.12 [2043]~E(x20431,x20432)+E(f681(x20433,x20434,x20431,x20435,x20436),f681(x20433,x20434,x20432,x20435,x20436))
% 225.14/225.12 [2044]~E(x20441,x20442)+E(f681(x20443,x20444,x20445,x20441,x20446),f681(x20443,x20444,x20445,x20442,x20446))
% 225.14/225.12 [2045]~E(x20451,x20452)+E(f681(x20453,x20454,x20455,x20456,x20451),f681(x20453,x20454,x20455,x20456,x20452))
% 225.14/225.12 [2046]~E(x20461,x20462)+E(f854(x20461,x20463,x20464,x20465),f854(x20462,x20463,x20464,x20465))
% 225.14/225.12 [2047]~E(x20471,x20472)+E(f854(x20473,x20471,x20474,x20475),f854(x20473,x20472,x20474,x20475))
% 225.14/225.12 [2048]~E(x20481,x20482)+E(f854(x20483,x20484,x20481,x20485),f854(x20483,x20484,x20482,x20485))
% 225.14/225.12 [2049]~E(x20491,x20492)+E(f854(x20493,x20494,x20495,x20491),f854(x20493,x20494,x20495,x20492))
% 225.14/225.12 [2050]~E(x20501,x20502)+E(f407(x20501,x20503,x20504,x20505),f407(x20502,x20503,x20504,x20505))
% 225.14/225.12 [2051]~E(x20511,x20512)+E(f407(x20513,x20511,x20514,x20515),f407(x20513,x20512,x20514,x20515))
% 225.14/225.12 [2052]~E(x20521,x20522)+E(f407(x20523,x20524,x20521,x20525),f407(x20523,x20524,x20522,x20525))
% 225.14/225.12 [2053]~E(x20531,x20532)+E(f407(x20533,x20534,x20535,x20531),f407(x20533,x20534,x20535,x20532))
% 225.14/225.12 [2054]~E(x20541,x20542)+E(f497(x20541,x20543,x20544,x20545),f497(x20542,x20543,x20544,x20545))
% 225.14/225.12 [2055]~E(x20551,x20552)+E(f497(x20553,x20551,x20554,x20555),f497(x20553,x20552,x20554,x20555))
% 225.14/225.12 [2056]~E(x20561,x20562)+E(f497(x20563,x20564,x20561,x20565),f497(x20563,x20564,x20562,x20565))
% 225.14/225.12 [2057]~E(x20571,x20572)+E(f497(x20573,x20574,x20575,x20571),f497(x20573,x20574,x20575,x20572))
% 225.14/225.12 [2058]~E(x20581,x20582)+E(f616(x20581,x20583,x20584,x20585,x20586),f616(x20582,x20583,x20584,x20585,x20586))
% 225.14/225.12 [2059]~E(x20591,x20592)+E(f616(x20593,x20591,x20594,x20595,x20596),f616(x20593,x20592,x20594,x20595,x20596))
% 225.14/225.12 [2060]~E(x20601,x20602)+E(f616(x20603,x20604,x20601,x20605,x20606),f616(x20603,x20604,x20602,x20605,x20606))
% 225.14/225.12 [2061]~E(x20611,x20612)+E(f616(x20613,x20614,x20615,x20611,x20616),f616(x20613,x20614,x20615,x20612,x20616))
% 225.14/225.12 [2062]~E(x20621,x20622)+E(f616(x20623,x20624,x20625,x20626,x20621),f616(x20623,x20624,x20625,x20626,x20622))
% 225.14/225.12 [2063]~E(x20631,x20632)+E(f675(x20631,x20633,x20634),f675(x20632,x20633,x20634))
% 225.14/225.12 [2064]~E(x20641,x20642)+E(f675(x20643,x20641,x20644),f675(x20643,x20642,x20644))
% 225.14/225.12 [2065]~E(x20651,x20652)+E(f675(x20653,x20654,x20651),f675(x20653,x20654,x20652))
% 225.14/225.12 [2066]~E(x20661,x20662)+E(f430(x20661,x20663),f430(x20662,x20663))
% 225.14/225.12 [2067]~E(x20671,x20672)+E(f430(x20673,x20671),f430(x20673,x20672))
% 225.14/225.12 [2068]~E(x20681,x20682)+E(f342(x20681,x20683),f342(x20682,x20683))
% 225.14/225.12 [2069]~E(x20691,x20692)+E(f342(x20693,x20691),f342(x20693,x20692))
% 225.14/225.12 [2070]~E(x20701,x20702)+E(f874(x20701,x20703),f874(x20702,x20703))
% 225.14/225.12 [2071]~E(x20711,x20712)+E(f874(x20713,x20711),f874(x20713,x20712))
% 225.14/225.12 [2072]~E(x20721,x20722)+E(f194(x20721,x20723),f194(x20722,x20723))
% 225.14/225.12 [2073]~E(x20731,x20732)+E(f194(x20733,x20731),f194(x20733,x20732))
% 225.14/225.12 [2074]~E(x20741,x20742)+E(f350(x20741,x20743,x20744),f350(x20742,x20743,x20744))
% 225.14/225.12 [2075]~E(x20751,x20752)+E(f350(x20753,x20751,x20754),f350(x20753,x20752,x20754))
% 225.14/225.12 [2076]~E(x20761,x20762)+E(f350(x20763,x20764,x20761),f350(x20763,x20764,x20762))
% 225.14/225.12 [2077]~E(x20771,x20772)+E(f448(x20771,x20773,x20774),f448(x20772,x20773,x20774))
% 225.14/225.12 [2078]~E(x20781,x20782)+E(f448(x20783,x20781,x20784),f448(x20783,x20782,x20784))
% 225.14/225.12 [2079]~E(x20791,x20792)+E(f448(x20793,x20794,x20791),f448(x20793,x20794,x20792))
% 225.14/225.12 [2080]~E(x20801,x20802)+E(f386(x20801,x20803,x20804),f386(x20802,x20803,x20804))
% 225.14/225.12 [2081]~E(x20811,x20812)+E(f386(x20813,x20811,x20814),f386(x20813,x20812,x20814))
% 225.14/225.12 [2082]~E(x20821,x20822)+E(f386(x20823,x20824,x20821),f386(x20823,x20824,x20822))
% 225.14/225.12 [2083]~E(x20831,x20832)+E(f434(x20831,x20833),f434(x20832,x20833))
% 225.14/225.12 [2084]~E(x20841,x20842)+E(f434(x20843,x20841),f434(x20843,x20842))
% 225.14/225.12 [2085]~E(x20851,x20852)+E(f40(x20851),f40(x20852))
% 225.14/225.12 [2086]~E(x20861,x20862)+E(f747(x20861,x20863,x20864,x20865,x20866),f747(x20862,x20863,x20864,x20865,x20866))
% 225.14/225.12 [2087]~E(x20871,x20872)+E(f747(x20873,x20871,x20874,x20875,x20876),f747(x20873,x20872,x20874,x20875,x20876))
% 225.14/225.12 [2088]~E(x20881,x20882)+E(f747(x20883,x20884,x20881,x20885,x20886),f747(x20883,x20884,x20882,x20885,x20886))
% 225.14/225.12 [2089]~E(x20891,x20892)+E(f747(x20893,x20894,x20895,x20891,x20896),f747(x20893,x20894,x20895,x20892,x20896))
% 225.14/225.12 [2090]~E(x20901,x20902)+E(f747(x20903,x20904,x20905,x20906,x20901),f747(x20903,x20904,x20905,x20906,x20902))
% 225.14/225.12 [2091]~E(x20911,x20912)+E(f687(x20911,x20913,x20914),f687(x20912,x20913,x20914))
% 225.14/225.12 [2092]~E(x20921,x20922)+E(f687(x20923,x20921,x20924),f687(x20923,x20922,x20924))
% 225.14/225.12 [2093]~E(x20931,x20932)+E(f687(x20933,x20934,x20931),f687(x20933,x20934,x20932))
% 225.14/225.12 [2094]~E(x20941,x20942)+E(f817(x20941,x20943),f817(x20942,x20943))
% 225.14/225.12 [2095]~E(x20951,x20952)+E(f817(x20953,x20951),f817(x20953,x20952))
% 225.14/225.12 [2096]~E(x20961,x20962)+E(f875(x20961,x20963,x20964,x20965,x20966),f875(x20962,x20963,x20964,x20965,x20966))
% 225.14/225.12 [2097]~E(x20971,x20972)+E(f875(x20973,x20971,x20974,x20975,x20976),f875(x20973,x20972,x20974,x20975,x20976))
% 225.14/225.12 [2098]~E(x20981,x20982)+E(f875(x20983,x20984,x20981,x20985,x20986),f875(x20983,x20984,x20982,x20985,x20986))
% 225.14/225.12 [2099]~E(x20991,x20992)+E(f875(x20993,x20994,x20995,x20991,x20996),f875(x20993,x20994,x20995,x20992,x20996))
% 225.14/225.12 [2100]~E(x21001,x21002)+E(f875(x21003,x21004,x21005,x21006,x21001),f875(x21003,x21004,x21005,x21006,x21002))
% 225.14/225.12 [2101]~E(x21011,x21012)+E(f783(x21011),f783(x21012))
% 225.14/225.12 [2102]~E(x21021,x21022)+E(f843(x21021,x21023,x21024,x21025,x21026,x21027),f843(x21022,x21023,x21024,x21025,x21026,x21027))
% 225.14/225.12 [2103]~E(x21031,x21032)+E(f843(x21033,x21031,x21034,x21035,x21036,x21037),f843(x21033,x21032,x21034,x21035,x21036,x21037))
% 225.14/225.12 [2104]~E(x21041,x21042)+E(f843(x21043,x21044,x21041,x21045,x21046,x21047),f843(x21043,x21044,x21042,x21045,x21046,x21047))
% 225.14/225.12 [2105]~E(x21051,x21052)+E(f843(x21053,x21054,x21055,x21051,x21056,x21057),f843(x21053,x21054,x21055,x21052,x21056,x21057))
% 225.14/225.12 [2106]~E(x21061,x21062)+E(f843(x21063,x21064,x21065,x21066,x21061,x21067),f843(x21063,x21064,x21065,x21066,x21062,x21067))
% 225.14/225.12 [2107]~E(x21071,x21072)+E(f843(x21073,x21074,x21075,x21076,x21077,x21071),f843(x21073,x21074,x21075,x21076,x21077,x21072))
% 225.14/225.12 [2108]~E(x21081,x21082)+E(f203(x21081,x21083,x21084),f203(x21082,x21083,x21084))
% 225.14/225.12 [2109]~E(x21091,x21092)+E(f203(x21093,x21091,x21094),f203(x21093,x21092,x21094))
% 225.14/225.12 [2110]~E(x21101,x21102)+E(f203(x21103,x21104,x21101),f203(x21103,x21104,x21102))
% 225.14/225.12 [2111]~E(x21111,x21112)+E(f377(x21111,x21113),f377(x21112,x21113))
% 225.14/225.12 [2112]~E(x21121,x21122)+E(f377(x21123,x21121),f377(x21123,x21122))
% 225.14/225.12 [2113]~E(x21131,x21132)+E(f701(x21131,x21133,x21134,x21135,x21136),f701(x21132,x21133,x21134,x21135,x21136))
% 225.14/225.12 [2114]~E(x21141,x21142)+E(f701(x21143,x21141,x21144,x21145,x21146),f701(x21143,x21142,x21144,x21145,x21146))
% 225.14/225.12 [2115]~E(x21151,x21152)+E(f701(x21153,x21154,x21151,x21155,x21156),f701(x21153,x21154,x21152,x21155,x21156))
% 225.14/225.12 [2116]~E(x21161,x21162)+E(f701(x21163,x21164,x21165,x21161,x21166),f701(x21163,x21164,x21165,x21162,x21166))
% 225.14/225.12 [2117]~E(x21171,x21172)+E(f701(x21173,x21174,x21175,x21176,x21171),f701(x21173,x21174,x21175,x21176,x21172))
% 225.14/225.12 [2118]~E(x21181,x21182)+E(f629(x21181,x21183,x21184,x21185,x21186),f629(x21182,x21183,x21184,x21185,x21186))
% 225.14/225.12 [2119]~E(x21191,x21192)+E(f629(x21193,x21191,x21194,x21195,x21196),f629(x21193,x21192,x21194,x21195,x21196))
% 225.14/225.12 [2120]~E(x21201,x21202)+E(f629(x21203,x21204,x21201,x21205,x21206),f629(x21203,x21204,x21202,x21205,x21206))
% 225.14/225.12 [2121]~E(x21211,x21212)+E(f629(x21213,x21214,x21215,x21211,x21216),f629(x21213,x21214,x21215,x21212,x21216))
% 225.14/225.12 [2122]~E(x21221,x21222)+E(f629(x21223,x21224,x21225,x21226,x21221),f629(x21223,x21224,x21225,x21226,x21222))
% 225.14/225.12 [2123]~E(x21231,x21232)+E(f575(x21231,x21233,x21234),f575(x21232,x21233,x21234))
% 225.14/225.12 [2124]~E(x21241,x21242)+E(f575(x21243,x21241,x21244),f575(x21243,x21242,x21244))
% 225.14/225.12 [2125]~E(x21251,x21252)+E(f575(x21253,x21254,x21251),f575(x21253,x21254,x21252))
% 225.14/225.12 [2126]~E(x21261,x21262)+E(f249(x21261,x21263,x21264),f249(x21262,x21263,x21264))
% 225.14/225.12 [2127]~E(x21271,x21272)+E(f249(x21273,x21271,x21274),f249(x21273,x21272,x21274))
% 225.14/225.12 [2128]~E(x21281,x21282)+E(f249(x21283,x21284,x21281),f249(x21283,x21284,x21282))
% 225.14/225.12 [2129]~E(x21291,x21292)+E(f635(x21291,x21293,x21294,x21295),f635(x21292,x21293,x21294,x21295))
% 225.14/225.12 [2130]~E(x21301,x21302)+E(f635(x21303,x21301,x21304,x21305),f635(x21303,x21302,x21304,x21305))
% 225.14/225.12 [2131]~E(x21311,x21312)+E(f635(x21313,x21314,x21311,x21315),f635(x21313,x21314,x21312,x21315))
% 225.14/225.12 [2132]~E(x21321,x21322)+E(f635(x21323,x21324,x21325,x21321),f635(x21323,x21324,x21325,x21322))
% 225.14/225.12 [2133]~E(x21331,x21332)+E(f190(x21331,x21333,x21334,x21335),f190(x21332,x21333,x21334,x21335))
% 225.14/225.12 [2134]~E(x21341,x21342)+E(f190(x21343,x21341,x21344,x21345),f190(x21343,x21342,x21344,x21345))
% 225.14/225.12 [2135]~E(x21351,x21352)+E(f190(x21353,x21354,x21351,x21355),f190(x21353,x21354,x21352,x21355))
% 225.14/225.12 [2136]~E(x21361,x21362)+E(f190(x21363,x21364,x21365,x21361),f190(x21363,x21364,x21365,x21362))
% 225.14/225.12 [2137]~E(x21371,x21372)+E(f893(x21371,x21373,x21374,x21375,x21376,x21377,x21378),f893(x21372,x21373,x21374,x21375,x21376,x21377,x21378))
% 225.14/225.12 [2138]~E(x21381,x21382)+E(f893(x21383,x21381,x21384,x21385,x21386,x21387,x21388),f893(x21383,x21382,x21384,x21385,x21386,x21387,x21388))
% 225.14/225.12 [2139]~E(x21391,x21392)+E(f893(x21393,x21394,x21391,x21395,x21396,x21397,x21398),f893(x21393,x21394,x21392,x21395,x21396,x21397,x21398))
% 225.14/225.12 [2140]~E(x21401,x21402)+E(f893(x21403,x21404,x21405,x21401,x21406,x21407,x21408),f893(x21403,x21404,x21405,x21402,x21406,x21407,x21408))
% 225.14/225.12 [2141]~E(x21411,x21412)+E(f893(x21413,x21414,x21415,x21416,x21411,x21417,x21418),f893(x21413,x21414,x21415,x21416,x21412,x21417,x21418))
% 225.14/225.12 [2142]~E(x21421,x21422)+E(f893(x21423,x21424,x21425,x21426,x21427,x21421,x21428),f893(x21423,x21424,x21425,x21426,x21427,x21422,x21428))
% 225.14/225.12 [2143]~E(x21431,x21432)+E(f893(x21433,x21434,x21435,x21436,x21437,x21438,x21431),f893(x21433,x21434,x21435,x21436,x21437,x21438,x21432))
% 225.14/225.12 [2144]~E(x21441,x21442)+E(f270(x21441,x21443,x21444,x21445),f270(x21442,x21443,x21444,x21445))
% 225.14/225.12 [2145]~E(x21451,x21452)+E(f270(x21453,x21451,x21454,x21455),f270(x21453,x21452,x21454,x21455))
% 225.14/225.12 [2146]~E(x21461,x21462)+E(f270(x21463,x21464,x21461,x21465),f270(x21463,x21464,x21462,x21465))
% 225.14/225.12 [2147]~E(x21471,x21472)+E(f270(x21473,x21474,x21475,x21471),f270(x21473,x21474,x21475,x21472))
% 225.14/225.12 [2148]~E(x21481,x21482)+E(f520(x21481,x21483,x21484,x21485,x21486),f520(x21482,x21483,x21484,x21485,x21486))
% 225.14/225.12 [2149]~E(x21491,x21492)+E(f520(x21493,x21491,x21494,x21495,x21496),f520(x21493,x21492,x21494,x21495,x21496))
% 225.14/225.12 [2150]~E(x21501,x21502)+E(f520(x21503,x21504,x21501,x21505,x21506),f520(x21503,x21504,x21502,x21505,x21506))
% 225.14/225.12 [2151]~E(x21511,x21512)+E(f520(x21513,x21514,x21515,x21511,x21516),f520(x21513,x21514,x21515,x21512,x21516))
% 225.14/225.12 [2152]~E(x21521,x21522)+E(f520(x21523,x21524,x21525,x21526,x21521),f520(x21523,x21524,x21525,x21526,x21522))
% 225.14/225.12 [2153]~E(x21531,x21532)+E(f678(x21531,x21533,x21534),f678(x21532,x21533,x21534))
% 225.14/225.12 [2154]~E(x21541,x21542)+E(f678(x21543,x21541,x21544),f678(x21543,x21542,x21544))
% 225.14/225.12 [2155]~E(x21551,x21552)+E(f678(x21553,x21554,x21551),f678(x21553,x21554,x21552))
% 225.14/225.12 [2156]~E(x21561,x21562)+E(f847(x21561,x21563,x21564,x21565,x21566,x21567,x21568),f847(x21562,x21563,x21564,x21565,x21566,x21567,x21568))
% 225.14/225.12 [2157]~E(x21571,x21572)+E(f847(x21573,x21571,x21574,x21575,x21576,x21577,x21578),f847(x21573,x21572,x21574,x21575,x21576,x21577,x21578))
% 225.14/225.12 [2158]~E(x21581,x21582)+E(f847(x21583,x21584,x21581,x21585,x21586,x21587,x21588),f847(x21583,x21584,x21582,x21585,x21586,x21587,x21588))
% 225.14/225.12 [2159]~E(x21591,x21592)+E(f847(x21593,x21594,x21595,x21591,x21596,x21597,x21598),f847(x21593,x21594,x21595,x21592,x21596,x21597,x21598))
% 225.14/225.12 [2160]~E(x21601,x21602)+E(f847(x21603,x21604,x21605,x21606,x21601,x21607,x21608),f847(x21603,x21604,x21605,x21606,x21602,x21607,x21608))
% 225.14/225.12 [2161]~E(x21611,x21612)+E(f847(x21613,x21614,x21615,x21616,x21617,x21611,x21618),f847(x21613,x21614,x21615,x21616,x21617,x21612,x21618))
% 225.14/225.12 [2162]~E(x21621,x21622)+E(f847(x21623,x21624,x21625,x21626,x21627,x21628,x21621),f847(x21623,x21624,x21625,x21626,x21627,x21628,x21622))
% 225.14/225.12 [2163]~E(x21631,x21632)+E(f460(x21631,x21633,x21634,x21635,x21636),f460(x21632,x21633,x21634,x21635,x21636))
% 225.14/225.12 [2164]~E(x21641,x21642)+E(f460(x21643,x21641,x21644,x21645,x21646),f460(x21643,x21642,x21644,x21645,x21646))
% 225.14/225.12 [2165]~E(x21651,x21652)+E(f460(x21653,x21654,x21651,x21655,x21656),f460(x21653,x21654,x21652,x21655,x21656))
% 225.14/225.12 [2166]~E(x21661,x21662)+E(f460(x21663,x21664,x21665,x21661,x21666),f460(x21663,x21664,x21665,x21662,x21666))
% 225.14/225.12 [2167]~E(x21671,x21672)+E(f460(x21673,x21674,x21675,x21676,x21671),f460(x21673,x21674,x21675,x21676,x21672))
% 225.14/225.12 [2168]~E(x21681,x21682)+E(f798(x21681,x21683,x21684,x21685),f798(x21682,x21683,x21684,x21685))
% 225.14/225.12 [2169]~E(x21691,x21692)+E(f798(x21693,x21691,x21694,x21695),f798(x21693,x21692,x21694,x21695))
% 225.14/225.12 [2170]~E(x21701,x21702)+E(f798(x21703,x21704,x21701,x21705),f798(x21703,x21704,x21702,x21705))
% 225.14/225.12 [2171]~E(x21711,x21712)+E(f798(x21713,x21714,x21715,x21711),f798(x21713,x21714,x21715,x21712))
% 225.14/225.12 [2172]~E(x21721,x21722)+E(f610(x21721,x21723,x21724,x21725,x21726,x21727,x21728),f610(x21722,x21723,x21724,x21725,x21726,x21727,x21728))
% 225.14/225.12 [2173]~E(x21731,x21732)+E(f610(x21733,x21731,x21734,x21735,x21736,x21737,x21738),f610(x21733,x21732,x21734,x21735,x21736,x21737,x21738))
% 225.14/225.12 [2174]~E(x21741,x21742)+E(f610(x21743,x21744,x21741,x21745,x21746,x21747,x21748),f610(x21743,x21744,x21742,x21745,x21746,x21747,x21748))
% 225.14/225.12 [2175]~E(x21751,x21752)+E(f610(x21753,x21754,x21755,x21751,x21756,x21757,x21758),f610(x21753,x21754,x21755,x21752,x21756,x21757,x21758))
% 225.14/225.12 [2176]~E(x21761,x21762)+E(f610(x21763,x21764,x21765,x21766,x21761,x21767,x21768),f610(x21763,x21764,x21765,x21766,x21762,x21767,x21768))
% 225.14/225.12 [2177]~E(x21771,x21772)+E(f610(x21773,x21774,x21775,x21776,x21777,x21771,x21778),f610(x21773,x21774,x21775,x21776,x21777,x21772,x21778))
% 225.14/225.12 [2178]~E(x21781,x21782)+E(f610(x21783,x21784,x21785,x21786,x21787,x21788,x21781),f610(x21783,x21784,x21785,x21786,x21787,x21788,x21782))
% 225.14/225.12 [2179]~E(x21791,x21792)+E(f790(x21791,x21793,x21794,x21795,x21796,x21797,x21798),f790(x21792,x21793,x21794,x21795,x21796,x21797,x21798))
% 225.14/225.12 [2180]~E(x21801,x21802)+E(f790(x21803,x21801,x21804,x21805,x21806,x21807,x21808),f790(x21803,x21802,x21804,x21805,x21806,x21807,x21808))
% 225.14/225.12 [2181]~E(x21811,x21812)+E(f790(x21813,x21814,x21811,x21815,x21816,x21817,x21818),f790(x21813,x21814,x21812,x21815,x21816,x21817,x21818))
% 225.14/225.12 [2182]~E(x21821,x21822)+E(f790(x21823,x21824,x21825,x21821,x21826,x21827,x21828),f790(x21823,x21824,x21825,x21822,x21826,x21827,x21828))
% 225.14/225.12 [2183]~E(x21831,x21832)+E(f790(x21833,x21834,x21835,x21836,x21831,x21837,x21838),f790(x21833,x21834,x21835,x21836,x21832,x21837,x21838))
% 225.14/225.12 [2184]~E(x21841,x21842)+E(f790(x21843,x21844,x21845,x21846,x21847,x21841,x21848),f790(x21843,x21844,x21845,x21846,x21847,x21842,x21848))
% 225.14/225.12 [2185]~E(x21851,x21852)+E(f790(x21853,x21854,x21855,x21856,x21857,x21858,x21851),f790(x21853,x21854,x21855,x21856,x21857,x21858,x21852))
% 225.14/225.12 [2186]~E(x21861,x21862)+E(f532(x21861,x21863,x21864,x21865),f532(x21862,x21863,x21864,x21865))
% 225.14/225.12 [2187]~E(x21871,x21872)+E(f532(x21873,x21871,x21874,x21875),f532(x21873,x21872,x21874,x21875))
% 225.14/225.12 [2188]~E(x21881,x21882)+E(f532(x21883,x21884,x21881,x21885),f532(x21883,x21884,x21882,x21885))
% 225.14/225.12 [2189]~E(x21891,x21892)+E(f532(x21893,x21894,x21895,x21891),f532(x21893,x21894,x21895,x21892))
% 225.14/225.12 [2190]~E(x21901,x21902)+E(f481(x21901,x21903,x21904),f481(x21902,x21903,x21904))
% 225.14/225.12 [2191]~E(x21911,x21912)+E(f481(x21913,x21911,x21914),f481(x21913,x21912,x21914))
% 225.14/225.12 [2192]~E(x21921,x21922)+E(f481(x21923,x21924,x21921),f481(x21923,x21924,x21922))
% 225.14/225.12 [2193]~E(x21931,x21932)+E(f590(x21931,x21933,x21934,x21935,x21936),f590(x21932,x21933,x21934,x21935,x21936))
% 225.14/225.12 [2194]~E(x21941,x21942)+E(f590(x21943,x21941,x21944,x21945,x21946),f590(x21943,x21942,x21944,x21945,x21946))
% 225.14/225.12 [2195]~E(x21951,x21952)+E(f590(x21953,x21954,x21951,x21955,x21956),f590(x21953,x21954,x21952,x21955,x21956))
% 225.14/225.12 [2196]~E(x21961,x21962)+E(f590(x21963,x21964,x21965,x21961,x21966),f590(x21963,x21964,x21965,x21962,x21966))
% 225.14/225.12 [2197]~E(x21971,x21972)+E(f590(x21973,x21974,x21975,x21976,x21971),f590(x21973,x21974,x21975,x21976,x21972))
% 225.14/225.12 [2198]~E(x21981,x21982)+E(f276(x21981,x21983,x21984,x21985),f276(x21982,x21983,x21984,x21985))
% 225.14/225.12 [2199]~E(x21991,x21992)+E(f276(x21993,x21991,x21994,x21995),f276(x21993,x21992,x21994,x21995))
% 225.14/225.12 [2200]~E(x22001,x22002)+E(f276(x22003,x22004,x22001,x22005),f276(x22003,x22004,x22002,x22005))
% 225.14/225.12 [2201]~E(x22011,x22012)+E(f276(x22013,x22014,x22015,x22011),f276(x22013,x22014,x22015,x22012))
% 225.14/225.12 [2202]~E(x22021,x22022)+E(f627(x22021,x22023,x22024),f627(x22022,x22023,x22024))
% 225.14/225.12 [2203]~E(x22031,x22032)+E(f627(x22033,x22031,x22034),f627(x22033,x22032,x22034))
% 225.14/225.12 [2204]~E(x22041,x22042)+E(f627(x22043,x22044,x22041),f627(x22043,x22044,x22042))
% 225.14/225.12 [2205]~E(x22051,x22052)+E(f195(x22051,x22053,x22054,x22055),f195(x22052,x22053,x22054,x22055))
% 225.14/225.12 [2206]~E(x22061,x22062)+E(f195(x22063,x22061,x22064,x22065),f195(x22063,x22062,x22064,x22065))
% 225.14/225.12 [2207]~E(x22071,x22072)+E(f195(x22073,x22074,x22071,x22075),f195(x22073,x22074,x22072,x22075))
% 225.14/225.12 [2208]~E(x22081,x22082)+E(f195(x22083,x22084,x22085,x22081),f195(x22083,x22084,x22085,x22082))
% 225.14/225.12 [2209]~E(x22091,x22092)+E(f809(x22091),f809(x22092))
% 225.14/225.12 [2210]~E(x22101,x22102)+E(f876(x22101,x22103),f876(x22102,x22103))
% 225.14/225.12 [2211]~E(x22111,x22112)+E(f876(x22113,x22111),f876(x22113,x22112))
% 225.14/225.12 [2212]~E(x22121,x22122)+E(f620(x22121,x22123,x22124),f620(x22122,x22123,x22124))
% 225.14/225.12 [2213]~E(x22131,x22132)+E(f620(x22133,x22131,x22134),f620(x22133,x22132,x22134))
% 225.14/225.12 [2214]~E(x22141,x22142)+E(f620(x22143,x22144,x22141),f620(x22143,x22144,x22142))
% 225.14/225.12 [2215]~E(x22151,x22152)+E(f851(x22151,x22153,x22154,x22155,x22156,x22157),f851(x22152,x22153,x22154,x22155,x22156,x22157))
% 225.14/225.12 [2216]~E(x22161,x22162)+E(f851(x22163,x22161,x22164,x22165,x22166,x22167),f851(x22163,x22162,x22164,x22165,x22166,x22167))
% 225.14/225.12 [2217]~E(x22171,x22172)+E(f851(x22173,x22174,x22171,x22175,x22176,x22177),f851(x22173,x22174,x22172,x22175,x22176,x22177))
% 225.14/225.12 [2218]~E(x22181,x22182)+E(f851(x22183,x22184,x22185,x22181,x22186,x22187),f851(x22183,x22184,x22185,x22182,x22186,x22187))
% 225.14/225.12 [2219]~E(x22191,x22192)+E(f851(x22193,x22194,x22195,x22196,x22191,x22197),f851(x22193,x22194,x22195,x22196,x22192,x22197))
% 225.14/225.12 [2220]~E(x22201,x22202)+E(f851(x22203,x22204,x22205,x22206,x22207,x22201),f851(x22203,x22204,x22205,x22206,x22207,x22202))
% 225.14/225.12 [2221]~E(x22211,x22212)+E(f776(x22211,x22213,x22214,x22215),f776(x22212,x22213,x22214,x22215))
% 225.14/225.12 [2222]~E(x22221,x22222)+E(f776(x22223,x22221,x22224,x22225),f776(x22223,x22222,x22224,x22225))
% 225.14/225.12 [2223]~E(x22231,x22232)+E(f776(x22233,x22234,x22231,x22235),f776(x22233,x22234,x22232,x22235))
% 225.14/225.12 [2224]~E(x22241,x22242)+E(f776(x22243,x22244,x22245,x22241),f776(x22243,x22244,x22245,x22242))
% 225.14/225.12 [2225]~E(x22251,x22252)+E(f832(x22251,x22253,x22254,x22255),f832(x22252,x22253,x22254,x22255))
% 225.14/225.12 [2226]~E(x22261,x22262)+E(f832(x22263,x22261,x22264,x22265),f832(x22263,x22262,x22264,x22265))
% 225.14/225.12 [2227]~E(x22271,x22272)+E(f832(x22273,x22274,x22271,x22275),f832(x22273,x22274,x22272,x22275))
% 225.14/225.12 [2228]~E(x22281,x22282)+E(f832(x22283,x22284,x22285,x22281),f832(x22283,x22284,x22285,x22282))
% 225.14/225.12 [2229]~E(x22291,x22292)+E(f358(x22291,x22293,x22294),f358(x22292,x22293,x22294))
% 225.14/225.12 [2230]~E(x22301,x22302)+E(f358(x22303,x22301,x22304),f358(x22303,x22302,x22304))
% 225.14/225.12 [2231]~E(x22311,x22312)+E(f358(x22313,x22314,x22311),f358(x22313,x22314,x22312))
% 225.14/225.12 [2232]~E(x22321,x22322)+E(f536(x22321,x22323,x22324),f536(x22322,x22323,x22324))
% 225.14/225.12 [2233]~E(x22331,x22332)+E(f536(x22333,x22331,x22334),f536(x22333,x22332,x22334))
% 225.14/225.12 [2234]~E(x22341,x22342)+E(f536(x22343,x22344,x22341),f536(x22343,x22344,x22342))
% 225.14/225.12 [2235]~E(x22351,x22352)+E(f487(x22351,x22353,x22354,x22355,x22356),f487(x22352,x22353,x22354,x22355,x22356))
% 225.14/225.12 [2236]~E(x22361,x22362)+E(f487(x22363,x22361,x22364,x22365,x22366),f487(x22363,x22362,x22364,x22365,x22366))
% 225.14/225.12 [2237]~E(x22371,x22372)+E(f487(x22373,x22374,x22371,x22375,x22376),f487(x22373,x22374,x22372,x22375,x22376))
% 225.14/225.12 [2238]~E(x22381,x22382)+E(f487(x22383,x22384,x22385,x22381,x22386),f487(x22383,x22384,x22385,x22382,x22386))
% 225.14/225.12 [2239]~E(x22391,x22392)+E(f487(x22393,x22394,x22395,x22396,x22391),f487(x22393,x22394,x22395,x22396,x22392))
% 225.14/225.12 [2240]~E(x22401,x22402)+E(f688(x22401,x22403,x22404),f688(x22402,x22403,x22404))
% 225.14/225.12 [2241]~E(x22411,x22412)+E(f688(x22413,x22411,x22414),f688(x22413,x22412,x22414))
% 225.14/225.12 [2242]~E(x22421,x22422)+E(f688(x22423,x22424,x22421),f688(x22423,x22424,x22422))
% 225.14/225.12 [2243]~E(x22431,x22432)+E(f499(x22431,x22433,x22434,x22435,x22436),f499(x22432,x22433,x22434,x22435,x22436))
% 225.14/225.12 [2244]~E(x22441,x22442)+E(f499(x22443,x22441,x22444,x22445,x22446),f499(x22443,x22442,x22444,x22445,x22446))
% 225.14/225.12 [2245]~E(x22451,x22452)+E(f499(x22453,x22454,x22451,x22455,x22456),f499(x22453,x22454,x22452,x22455,x22456))
% 225.14/225.12 [2246]~E(x22461,x22462)+E(f499(x22463,x22464,x22465,x22461,x22466),f499(x22463,x22464,x22465,x22462,x22466))
% 225.14/225.12 [2247]~E(x22471,x22472)+E(f499(x22473,x22474,x22475,x22476,x22471),f499(x22473,x22474,x22475,x22476,x22472))
% 225.14/225.12 [2248]~E(x22481,x22482)+E(f333(x22481),f333(x22482))
% 225.14/225.12 [2249]~E(x22491,x22492)+E(f683(x22491,x22493,x22494,x22495),f683(x22492,x22493,x22494,x22495))
% 225.14/225.12 [2250]~E(x22501,x22502)+E(f683(x22503,x22501,x22504,x22505),f683(x22503,x22502,x22504,x22505))
% 225.14/225.12 [2251]~E(x22511,x22512)+E(f683(x22513,x22514,x22511,x22515),f683(x22513,x22514,x22512,x22515))
% 225.14/225.12 [2252]~E(x22521,x22522)+E(f683(x22523,x22524,x22525,x22521),f683(x22523,x22524,x22525,x22522))
% 225.14/225.12 [2253]~E(x22531,x22532)+E(f399(x22531,x22533,x22534,x22535),f399(x22532,x22533,x22534,x22535))
% 225.14/225.12 [2254]~E(x22541,x22542)+E(f399(x22543,x22541,x22544,x22545),f399(x22543,x22542,x22544,x22545))
% 225.14/225.12 [2255]~E(x22551,x22552)+E(f399(x22553,x22554,x22551,x22555),f399(x22553,x22554,x22552,x22555))
% 225.14/225.12 [2256]~E(x22561,x22562)+E(f399(x22563,x22564,x22565,x22561),f399(x22563,x22564,x22565,x22562))
% 225.14/225.12 [2257]~E(x22571,x22572)+E(f775(x22571,x22573,x22574,x22575),f775(x22572,x22573,x22574,x22575))
% 225.14/225.12 [2258]~E(x22581,x22582)+E(f775(x22583,x22581,x22584,x22585),f775(x22583,x22582,x22584,x22585))
% 225.14/225.12 [2259]~E(x22591,x22592)+E(f775(x22593,x22594,x22591,x22595),f775(x22593,x22594,x22592,x22595))
% 225.14/225.12 [2260]~E(x22601,x22602)+E(f775(x22603,x22604,x22605,x22601),f775(x22603,x22604,x22605,x22602))
% 225.14/225.12 [2261]~E(x22611,x22612)+E(f41(x22611),f41(x22612))
% 225.14/225.12 [2262]~E(x22621,x22622)+E(f581(x22621),f581(x22622))
% 225.14/225.12 [2263]~E(x22631,x22632)+E(f552(x22631,x22633,x22634,x22635,x22636,x22637,x22638,x22639),f552(x22632,x22633,x22634,x22635,x22636,x22637,x22638,x22639))
% 225.14/225.12 [2264]~E(x22641,x22642)+E(f552(x22643,x22641,x22644,x22645,x22646,x22647,x22648,x22649),f552(x22643,x22642,x22644,x22645,x22646,x22647,x22648,x22649))
% 225.14/225.12 [2265]~E(x22651,x22652)+E(f552(x22653,x22654,x22651,x22655,x22656,x22657,x22658,x22659),f552(x22653,x22654,x22652,x22655,x22656,x22657,x22658,x22659))
% 225.14/225.12 [2266]~E(x22661,x22662)+E(f552(x22663,x22664,x22665,x22661,x22666,x22667,x22668,x22669),f552(x22663,x22664,x22665,x22662,x22666,x22667,x22668,x22669))
% 225.14/225.12 [2267]~E(x22671,x22672)+E(f552(x22673,x22674,x22675,x22676,x22671,x22677,x22678,x22679),f552(x22673,x22674,x22675,x22676,x22672,x22677,x22678,x22679))
% 225.14/225.12 [2268]~E(x22681,x22682)+E(f552(x22683,x22684,x22685,x22686,x22687,x22681,x22688,x22689),f552(x22683,x22684,x22685,x22686,x22687,x22682,x22688,x22689))
% 225.14/225.12 [2269]~E(x22691,x22692)+E(f552(x22693,x22694,x22695,x22696,x22697,x22698,x22691,x22699),f552(x22693,x22694,x22695,x22696,x22697,x22698,x22692,x22699))
% 225.14/225.12 [2270]~E(x22701,x22702)+E(f552(x22703,x22704,x22705,x22706,x22707,x22708,x22709,x22701),f552(x22703,x22704,x22705,x22706,x22707,x22708,x22709,x22702))
% 225.14/225.12 [2271]~E(x22711,x22712)+E(f821(x22711,x22713,x22714),f821(x22712,x22713,x22714))
% 225.14/225.12 [2272]~E(x22721,x22722)+E(f821(x22723,x22721,x22724),f821(x22723,x22722,x22724))
% 225.14/225.12 [2273]~E(x22731,x22732)+E(f821(x22733,x22734,x22731),f821(x22733,x22734,x22732))
% 225.14/225.12 [2274]~E(x22741,x22742)+E(f740(x22741,x22743),f740(x22742,x22743))
% 225.14/225.12 [2275]~E(x22751,x22752)+E(f740(x22753,x22751),f740(x22753,x22752))
% 225.14/225.12 [2276]~E(x22761,x22762)+E(f538(x22761,x22763,x22764,x22765,x22766,x22767),f538(x22762,x22763,x22764,x22765,x22766,x22767))
% 225.14/225.12 [2277]~E(x22771,x22772)+E(f538(x22773,x22771,x22774,x22775,x22776,x22777),f538(x22773,x22772,x22774,x22775,x22776,x22777))
% 225.14/225.12 [2278]~E(x22781,x22782)+E(f538(x22783,x22784,x22781,x22785,x22786,x22787),f538(x22783,x22784,x22782,x22785,x22786,x22787))
% 225.14/225.12 [2279]~E(x22791,x22792)+E(f538(x22793,x22794,x22795,x22791,x22796,x22797),f538(x22793,x22794,x22795,x22792,x22796,x22797))
% 225.14/225.12 [2280]~E(x22801,x22802)+E(f538(x22803,x22804,x22805,x22806,x22801,x22807),f538(x22803,x22804,x22805,x22806,x22802,x22807))
% 225.14/225.12 [2281]~E(x22811,x22812)+E(f538(x22813,x22814,x22815,x22816,x22817,x22811),f538(x22813,x22814,x22815,x22816,x22817,x22812))
% 225.14/225.12 [2282]~E(x22821,x22822)+E(f491(x22821,x22823,x22824,x22825),f491(x22822,x22823,x22824,x22825))
% 225.14/225.12 [2283]~E(x22831,x22832)+E(f491(x22833,x22831,x22834,x22835),f491(x22833,x22832,x22834,x22835))
% 225.14/225.12 [2284]~E(x22841,x22842)+E(f491(x22843,x22844,x22841,x22845),f491(x22843,x22844,x22842,x22845))
% 225.14/225.12 [2285]~E(x22851,x22852)+E(f491(x22853,x22854,x22855,x22851),f491(x22853,x22854,x22855,x22852))
% 225.14/225.12 [2286]~E(x22861,x22862)+E(f602(x22861,x22863),f602(x22862,x22863))
% 225.14/225.12 [2287]~E(x22871,x22872)+E(f602(x22873,x22871),f602(x22873,x22872))
% 225.14/225.12 [2288]~E(x22881,x22882)+E(f477(x22881,x22883,x22884,x22885),f477(x22882,x22883,x22884,x22885))
% 225.14/225.12 [2289]~E(x22891,x22892)+E(f477(x22893,x22891,x22894,x22895),f477(x22893,x22892,x22894,x22895))
% 225.14/225.12 [2290]~E(x22901,x22902)+E(f477(x22903,x22904,x22901,x22905),f477(x22903,x22904,x22902,x22905))
% 225.14/225.12 [2291]~E(x22911,x22912)+E(f477(x22913,x22914,x22915,x22911),f477(x22913,x22914,x22915,x22912))
% 225.14/225.12 [2292]~E(x22921,x22922)+E(f473(x22921,x22923,x22924),f473(x22922,x22923,x22924))
% 225.14/225.12 [2293]~E(x22931,x22932)+E(f473(x22933,x22931,x22934),f473(x22933,x22932,x22934))
% 225.14/225.12 [2294]~E(x22941,x22942)+E(f473(x22943,x22944,x22941),f473(x22943,x22944,x22942))
% 225.14/225.12 [2295]~E(x22951,x22952)+E(f426(x22951,x22953),f426(x22952,x22953))
% 225.14/225.12 [2296]~E(x22961,x22962)+E(f426(x22963,x22961),f426(x22963,x22962))
% 225.14/225.12 [2297]~E(x22971,x22972)+E(f706(x22971,x22973),f706(x22972,x22973))
% 225.14/225.12 [2298]~E(x22981,x22982)+E(f706(x22983,x22981),f706(x22983,x22982))
% 225.14/225.12 [2299]~E(x22991,x22992)+E(f408(x22991,x22993,x22994,x22995),f408(x22992,x22993,x22994,x22995))
% 225.14/225.12 [2300]~E(x23001,x23002)+E(f408(x23003,x23001,x23004,x23005),f408(x23003,x23002,x23004,x23005))
% 225.14/225.12 [2301]~E(x23011,x23012)+E(f408(x23013,x23014,x23011,x23015),f408(x23013,x23014,x23012,x23015))
% 225.14/225.12 [2302]~E(x23021,x23022)+E(f408(x23023,x23024,x23025,x23021),f408(x23023,x23024,x23025,x23022))
% 225.14/225.12 [2303]~E(x23031,x23032)+E(f794(x23031,x23033,x23034,x23035),f794(x23032,x23033,x23034,x23035))
% 225.14/225.12 [2304]~E(x23041,x23042)+E(f794(x23043,x23041,x23044,x23045),f794(x23043,x23042,x23044,x23045))
% 225.14/225.12 [2305]~E(x23051,x23052)+E(f794(x23053,x23054,x23051,x23055),f794(x23053,x23054,x23052,x23055))
% 225.14/225.12 [2306]~E(x23061,x23062)+E(f794(x23063,x23064,x23065,x23061),f794(x23063,x23064,x23065,x23062))
% 225.14/225.12 [2307]~E(x23071,x23072)+E(f758(x23071,x23073,x23074),f758(x23072,x23073,x23074))
% 225.14/225.12 [2308]~E(x23081,x23082)+E(f758(x23083,x23081,x23084),f758(x23083,x23082,x23084))
% 225.14/225.12 [2309]~E(x23091,x23092)+E(f758(x23093,x23094,x23091),f758(x23093,x23094,x23092))
% 225.14/225.12 [2310]~E(x23101,x23102)+E(f352(x23101,x23103,x23104,x23105),f352(x23102,x23103,x23104,x23105))
% 225.14/225.12 [2311]~E(x23111,x23112)+E(f352(x23113,x23111,x23114,x23115),f352(x23113,x23112,x23114,x23115))
% 225.14/225.12 [2312]~E(x23121,x23122)+E(f352(x23123,x23124,x23121,x23125),f352(x23123,x23124,x23122,x23125))
% 225.14/225.12 [2313]~E(x23131,x23132)+E(f352(x23133,x23134,x23135,x23131),f352(x23133,x23134,x23135,x23132))
% 225.14/225.12 [2314]~E(x23141,x23142)+E(f446(x23141,x23143,x23144),f446(x23142,x23143,x23144))
% 225.14/225.12 [2315]~E(x23151,x23152)+E(f446(x23153,x23151,x23154),f446(x23153,x23152,x23154))
% 225.14/225.12 [2316]~E(x23161,x23162)+E(f446(x23163,x23164,x23161),f446(x23163,x23164,x23162))
% 225.14/225.12 [2317]~E(x23171,x23172)+E(f549(x23171,x23173,x23174,x23175,x23176),f549(x23172,x23173,x23174,x23175,x23176))
% 225.14/225.12 [2318]~E(x23181,x23182)+E(f549(x23183,x23181,x23184,x23185,x23186),f549(x23183,x23182,x23184,x23185,x23186))
% 225.14/225.12 [2319]~E(x23191,x23192)+E(f549(x23193,x23194,x23191,x23195,x23196),f549(x23193,x23194,x23192,x23195,x23196))
% 225.14/225.12 [2320]~E(x23201,x23202)+E(f549(x23203,x23204,x23205,x23201,x23206),f549(x23203,x23204,x23205,x23202,x23206))
% 225.14/225.12 [2321]~E(x23211,x23212)+E(f549(x23213,x23214,x23215,x23216,x23211),f549(x23213,x23214,x23215,x23216,x23212))
% 225.14/225.12 [2322]~E(x23221,x23222)+E(f162(x23221,x23223),f162(x23222,x23223))
% 225.14/225.12 [2323]~E(x23231,x23232)+E(f162(x23233,x23231),f162(x23233,x23232))
% 225.14/225.12 [2324]~E(x23241,x23242)+E(f879(x23241,x23243),f879(x23242,x23243))
% 225.14/225.12 [2325]~E(x23251,x23252)+E(f879(x23253,x23251),f879(x23253,x23252))
% 225.14/225.12 [2326]~E(x23261,x23262)+E(f486(x23261,x23263,x23264,x23265,x23266),f486(x23262,x23263,x23264,x23265,x23266))
% 225.14/225.12 [2327]~E(x23271,x23272)+E(f486(x23273,x23271,x23274,x23275,x23276),f486(x23273,x23272,x23274,x23275,x23276))
% 225.14/225.12 [2328]~E(x23281,x23282)+E(f486(x23283,x23284,x23281,x23285,x23286),f486(x23283,x23284,x23282,x23285,x23286))
% 225.14/225.12 [2329]~E(x23291,x23292)+E(f486(x23293,x23294,x23295,x23291,x23296),f486(x23293,x23294,x23295,x23292,x23296))
% 225.14/225.12 [2330]~E(x23301,x23302)+E(f486(x23303,x23304,x23305,x23306,x23301),f486(x23303,x23304,x23305,x23306,x23302))
% 225.14/225.12 [2331]~E(x23311,x23312)+E(f907(x23311,x23313,x23314),f907(x23312,x23313,x23314))
% 225.14/225.12 [2332]~E(x23321,x23322)+E(f907(x23323,x23321,x23324),f907(x23323,x23322,x23324))
% 225.14/225.12 [2333]~E(x23331,x23332)+E(f907(x23333,x23334,x23331),f907(x23333,x23334,x23332))
% 225.14/225.12 [2334]~E(x23341,x23342)+E(f711(x23341,x23343,x23344),f711(x23342,x23343,x23344))
% 225.14/225.12 [2335]~E(x23351,x23352)+E(f711(x23353,x23351,x23354),f711(x23353,x23352,x23354))
% 225.14/225.12 [2336]~E(x23361,x23362)+E(f711(x23363,x23364,x23361),f711(x23363,x23364,x23362))
% 225.14/225.12 [2337]~E(x23371,x23372)+E(f537(x23371,x23373,x23374,x23375),f537(x23372,x23373,x23374,x23375))
% 225.14/225.12 [2338]~E(x23381,x23382)+E(f537(x23383,x23381,x23384,x23385),f537(x23383,x23382,x23384,x23385))
% 225.14/225.12 [2339]~E(x23391,x23392)+E(f537(x23393,x23394,x23391,x23395),f537(x23393,x23394,x23392,x23395))
% 225.14/225.12 [2340]~E(x23401,x23402)+E(f537(x23403,x23404,x23405,x23401),f537(x23403,x23404,x23405,x23402))
% 225.14/225.12 [2341]~E(x23411,x23412)+E(f206(x23411,x23413,x23414,x23415),f206(x23412,x23413,x23414,x23415))
% 225.14/225.12 [2342]~E(x23421,x23422)+E(f206(x23423,x23421,x23424,x23425),f206(x23423,x23422,x23424,x23425))
% 225.14/225.12 [2343]~E(x23431,x23432)+E(f206(x23433,x23434,x23431,x23435),f206(x23433,x23434,x23432,x23435))
% 225.14/225.12 [2344]~E(x23441,x23442)+E(f206(x23443,x23444,x23445,x23441),f206(x23443,x23444,x23445,x23442))
% 225.14/225.12 [2345]~E(x23451,x23452)+E(f498(x23451,x23453,x23454,x23455,x23456),f498(x23452,x23453,x23454,x23455,x23456))
% 225.14/225.12 [2346]~E(x23461,x23462)+E(f498(x23463,x23461,x23464,x23465,x23466),f498(x23463,x23462,x23464,x23465,x23466))
% 225.14/225.12 [2347]~E(x23471,x23472)+E(f498(x23473,x23474,x23471,x23475,x23476),f498(x23473,x23474,x23472,x23475,x23476))
% 225.14/225.12 [2348]~E(x23481,x23482)+E(f498(x23483,x23484,x23485,x23481,x23486),f498(x23483,x23484,x23485,x23482,x23486))
% 225.14/225.12 [2349]~E(x23491,x23492)+E(f498(x23493,x23494,x23495,x23496,x23491),f498(x23493,x23494,x23495,x23496,x23492))
% 225.14/225.12 [2350]~E(x23501,x23502)+E(f720(x23501,x23503,x23504),f720(x23502,x23503,x23504))
% 225.14/225.12 [2351]~E(x23511,x23512)+E(f720(x23513,x23511,x23514),f720(x23513,x23512,x23514))
% 225.14/225.12 [2352]~E(x23521,x23522)+E(f720(x23523,x23524,x23521),f720(x23523,x23524,x23522))
% 225.14/225.12 [2353]~E(x23531,x23532)+E(f803(x23531,x23533),f803(x23532,x23533))
% 225.14/225.12 [2354]~E(x23541,x23542)+E(f803(x23543,x23541),f803(x23543,x23542))
% 225.14/225.12 [2355]~E(x23551,x23552)+E(f887(x23551,x23553,x23554),f887(x23552,x23553,x23554))
% 225.14/225.12 [2356]~E(x23561,x23562)+E(f887(x23563,x23561,x23564),f887(x23563,x23562,x23564))
% 225.14/225.12 [2357]~E(x23571,x23572)+E(f887(x23573,x23574,x23571),f887(x23573,x23574,x23572))
% 225.14/225.12 [2358]~E(x23581,x23582)+E(f527(x23581,x23583,x23584,x23585,x23586),f527(x23582,x23583,x23584,x23585,x23586))
% 225.14/225.12 [2359]~E(x23591,x23592)+E(f527(x23593,x23591,x23594,x23595,x23596),f527(x23593,x23592,x23594,x23595,x23596))
% 225.14/225.12 [2360]~E(x23601,x23602)+E(f527(x23603,x23604,x23601,x23605,x23606),f527(x23603,x23604,x23602,x23605,x23606))
% 225.14/225.12 [2361]~E(x23611,x23612)+E(f527(x23613,x23614,x23615,x23611,x23616),f527(x23613,x23614,x23615,x23612,x23616))
% 225.14/225.12 [2362]~E(x23621,x23622)+E(f527(x23623,x23624,x23625,x23626,x23621),f527(x23623,x23624,x23625,x23626,x23622))
% 225.14/225.12 [2363]~E(x23631,x23632)+E(f692(x23631,x23633,x23634),f692(x23632,x23633,x23634))
% 225.14/225.12 [2364]~E(x23641,x23642)+E(f692(x23643,x23641,x23644),f692(x23643,x23642,x23644))
% 225.14/225.12 [2365]~E(x23651,x23652)+E(f692(x23653,x23654,x23651),f692(x23653,x23654,x23652))
% 225.14/225.12 [2366]~E(x23661,x23662)+E(f266(x23661),f266(x23662))
% 225.14/225.12 [2367]~E(x23671,x23672)+E(f543(x23671,x23673,x23674,x23675),f543(x23672,x23673,x23674,x23675))
% 225.14/225.12 [2368]~E(x23681,x23682)+E(f543(x23683,x23681,x23684,x23685),f543(x23683,x23682,x23684,x23685))
% 225.14/225.12 [2369]~E(x23691,x23692)+E(f543(x23693,x23694,x23691,x23695),f543(x23693,x23694,x23692,x23695))
% 225.14/225.12 [2370]~E(x23701,x23702)+E(f543(x23703,x23704,x23705,x23701),f543(x23703,x23704,x23705,x23702))
% 225.14/225.12 [2371]~E(x23711,x23712)+E(f671(x23711,x23713,x23714,x23715),f671(x23712,x23713,x23714,x23715))
% 225.14/225.12 [2372]~E(x23721,x23722)+E(f671(x23723,x23721,x23724,x23725),f671(x23723,x23722,x23724,x23725))
% 225.14/225.12 [2373]~E(x23731,x23732)+E(f671(x23733,x23734,x23731,x23735),f671(x23733,x23734,x23732,x23735))
% 225.14/225.12 [2374]~E(x23741,x23742)+E(f671(x23743,x23744,x23745,x23741),f671(x23743,x23744,x23745,x23742))
% 225.14/225.12 [2375]~E(x23751,x23752)+E(f735(x23751,x23753),f735(x23752,x23753))
% 225.14/225.12 [2376]~E(x23761,x23762)+E(f735(x23763,x23761),f735(x23763,x23762))
% 225.14/225.12 [2377]~E(x23771,x23772)+E(f793(x23771,x23773),f793(x23772,x23773))
% 225.14/225.12 [2378]~E(x23781,x23782)+E(f793(x23783,x23781),f793(x23783,x23782))
% 225.14/225.12 [2379]~E(x23791,x23792)+E(f908(x23791,x23793,x23794),f908(x23792,x23793,x23794))
% 225.14/225.12 [2380]~E(x23801,x23802)+E(f908(x23803,x23801,x23804),f908(x23803,x23802,x23804))
% 225.14/225.12 [2381]~E(x23811,x23812)+E(f908(x23813,x23814,x23811),f908(x23813,x23814,x23812))
% 225.14/225.12 [2382]~E(x23821,x23822)+E(f343(x23821,x23823,x23824),f343(x23822,x23823,x23824))
% 225.14/225.12 [2383]~E(x23831,x23832)+E(f343(x23833,x23831,x23834),f343(x23833,x23832,x23834))
% 225.14/225.12 [2384]~E(x23841,x23842)+E(f343(x23843,x23844,x23841),f343(x23843,x23844,x23842))
% 225.14/225.12 [2385]~E(x23851,x23852)+E(f835(x23851,x23853,x23854),f835(x23852,x23853,x23854))
% 225.14/225.12 [2386]~E(x23861,x23862)+E(f835(x23863,x23861,x23864),f835(x23863,x23862,x23864))
% 225.14/225.12 [2387]~E(x23871,x23872)+E(f835(x23873,x23874,x23871),f835(x23873,x23874,x23872))
% 225.14/225.12 [2388]~E(x23881,x23882)+E(f510(x23881,x23883,x23884),f510(x23882,x23883,x23884))
% 225.14/225.12 [2389]~E(x23891,x23892)+E(f510(x23893,x23891,x23894),f510(x23893,x23892,x23894))
% 225.14/225.12 [2390]~E(x23901,x23902)+E(f510(x23903,x23904,x23901),f510(x23903,x23904,x23902))
% 225.14/225.12 [2391]~E(x23911,x23912)+E(f746(x23911,x23913,x23914,x23915,x23916),f746(x23912,x23913,x23914,x23915,x23916))
% 225.14/225.12 [2392]~E(x23921,x23922)+E(f746(x23923,x23921,x23924,x23925,x23926),f746(x23923,x23922,x23924,x23925,x23926))
% 225.14/225.12 [2393]~E(x23931,x23932)+E(f746(x23933,x23934,x23931,x23935,x23936),f746(x23933,x23934,x23932,x23935,x23936))
% 225.14/225.12 [2394]~E(x23941,x23942)+E(f746(x23943,x23944,x23945,x23941,x23946),f746(x23943,x23944,x23945,x23942,x23946))
% 225.14/225.12 [2395]~E(x23951,x23952)+E(f746(x23953,x23954,x23955,x23956,x23951),f746(x23953,x23954,x23955,x23956,x23952))
% 225.14/225.12 [2396]~E(x23961,x23962)+E(f209(x23961,x23963,x23964,x23965),f209(x23962,x23963,x23964,x23965))
% 225.14/225.12 [2397]~E(x23971,x23972)+E(f209(x23973,x23971,x23974,x23975),f209(x23973,x23972,x23974,x23975))
% 225.14/225.12 [2398]~E(x23981,x23982)+E(f209(x23983,x23984,x23981,x23985),f209(x23983,x23984,x23982,x23985))
% 225.14/225.12 [2399]~E(x23991,x23992)+E(f209(x23993,x23994,x23995,x23991),f209(x23993,x23994,x23995,x23992))
% 225.14/225.12 [2400]~E(x24001,x24002)+E(f557(x24001,x24003),f557(x24002,x24003))
% 225.14/225.12 [2401]~E(x24011,x24012)+E(f557(x24013,x24011),f557(x24013,x24012))
% 225.14/225.12 [2402]~E(x24021,x24022)+E(f574(x24021,x24023,x24024,x24025,x24026,x24027,x24028),f574(x24022,x24023,x24024,x24025,x24026,x24027,x24028))
% 225.14/225.12 [2403]~E(x24031,x24032)+E(f574(x24033,x24031,x24034,x24035,x24036,x24037,x24038),f574(x24033,x24032,x24034,x24035,x24036,x24037,x24038))
% 225.14/225.12 [2404]~E(x24041,x24042)+E(f574(x24043,x24044,x24041,x24045,x24046,x24047,x24048),f574(x24043,x24044,x24042,x24045,x24046,x24047,x24048))
% 225.14/225.12 [2405]~E(x24051,x24052)+E(f574(x24053,x24054,x24055,x24051,x24056,x24057,x24058),f574(x24053,x24054,x24055,x24052,x24056,x24057,x24058))
% 225.14/225.12 [2406]~E(x24061,x24062)+E(f574(x24063,x24064,x24065,x24066,x24061,x24067,x24068),f574(x24063,x24064,x24065,x24066,x24062,x24067,x24068))
% 225.14/225.12 [2407]~E(x24071,x24072)+E(f574(x24073,x24074,x24075,x24076,x24077,x24071,x24078),f574(x24073,x24074,x24075,x24076,x24077,x24072,x24078))
% 225.14/225.12 [2408]~E(x24081,x24082)+E(f574(x24083,x24084,x24085,x24086,x24087,x24088,x24081),f574(x24083,x24084,x24085,x24086,x24087,x24088,x24082))
% 225.14/225.12 [2409]~E(x24091,x24092)+E(f641(x24091,x24093,x24094,x24095,x24096),f641(x24092,x24093,x24094,x24095,x24096))
% 225.14/225.12 [2410]~E(x24101,x24102)+E(f641(x24103,x24101,x24104,x24105,x24106),f641(x24103,x24102,x24104,x24105,x24106))
% 225.14/225.12 [2411]~E(x24111,x24112)+E(f641(x24113,x24114,x24111,x24115,x24116),f641(x24113,x24114,x24112,x24115,x24116))
% 225.14/225.12 [2412]~E(x24121,x24122)+E(f641(x24123,x24124,x24125,x24121,x24126),f641(x24123,x24124,x24125,x24122,x24126))
% 225.14/225.12 [2413]~E(x24131,x24132)+E(f641(x24133,x24134,x24135,x24136,x24131),f641(x24133,x24134,x24135,x24136,x24132))
% 225.14/225.12 [2414]~E(x24141,x24142)+E(f398(x24141,x24143,x24144,x24145),f398(x24142,x24143,x24144,x24145))
% 225.14/225.12 [2415]~E(x24151,x24152)+E(f398(x24153,x24151,x24154,x24155),f398(x24153,x24152,x24154,x24155))
% 225.14/225.12 [2416]~E(x24161,x24162)+E(f398(x24163,x24164,x24161,x24165),f398(x24163,x24164,x24162,x24165))
% 225.14/225.12 [2417]~E(x24171,x24172)+E(f398(x24173,x24174,x24175,x24171),f398(x24173,x24174,x24175,x24172))
% 225.14/225.12 [2418]~E(x24181,x24182)+E(f626(x24181,x24183),f626(x24182,x24183))
% 225.14/225.12 [2419]~E(x24191,x24192)+E(f626(x24193,x24191),f626(x24193,x24192))
% 225.14/225.12 [2420]~E(x24201,x24202)+E(f437(x24201,x24203,x24204,x24205,x24206),f437(x24202,x24203,x24204,x24205,x24206))
% 225.14/225.12 [2421]~E(x24211,x24212)+E(f437(x24213,x24211,x24214,x24215,x24216),f437(x24213,x24212,x24214,x24215,x24216))
% 225.14/225.12 [2422]~E(x24221,x24222)+E(f437(x24223,x24224,x24221,x24225,x24226),f437(x24223,x24224,x24222,x24225,x24226))
% 225.14/225.12 [2423]~E(x24231,x24232)+E(f437(x24233,x24234,x24235,x24231,x24236),f437(x24233,x24234,x24235,x24232,x24236))
% 225.14/225.12 [2424]~E(x24241,x24242)+E(f437(x24243,x24244,x24245,x24246,x24241),f437(x24243,x24244,x24245,x24246,x24242))
% 225.14/225.12 [2425]~E(x24251,x24252)+E(f489(x24251),f489(x24252))
% 225.14/225.12 [2426]~E(x24261,x24262)+E(f639(x24261,x24263,x24264,x24265,x24266),f639(x24262,x24263,x24264,x24265,x24266))
% 225.14/225.12 [2427]~E(x24271,x24272)+E(f639(x24273,x24271,x24274,x24275,x24276),f639(x24273,x24272,x24274,x24275,x24276))
% 225.14/225.12 [2428]~E(x24281,x24282)+E(f639(x24283,x24284,x24281,x24285,x24286),f639(x24283,x24284,x24282,x24285,x24286))
% 225.14/225.12 [2429]~E(x24291,x24292)+E(f639(x24293,x24294,x24295,x24291,x24296),f639(x24293,x24294,x24295,x24292,x24296))
% 225.14/225.12 [2430]~E(x24301,x24302)+E(f639(x24303,x24304,x24305,x24306,x24301),f639(x24303,x24304,x24305,x24306,x24302))
% 225.14/225.12 [2431]~E(x24311,x24312)+E(f435(x24311,x24313),f435(x24312,x24313))
% 225.14/225.12 [2432]~E(x24321,x24322)+E(f435(x24323,x24321),f435(x24323,x24322))
% 225.14/225.12 [2433]~E(x24331,x24332)+E(f331(x24331),f331(x24332))
% 225.14/225.12 [2434]~E(x24341,x24342)+E(f488(x24341,x24343,x24344,x24345),f488(x24342,x24343,x24344,x24345))
% 225.14/225.12 [2435]~E(x24351,x24352)+E(f488(x24353,x24351,x24354,x24355),f488(x24353,x24352,x24354,x24355))
% 225.14/225.12 [2436]~E(x24361,x24362)+E(f488(x24363,x24364,x24361,x24365),f488(x24363,x24364,x24362,x24365))
% 225.14/225.12 [2437]~E(x24371,x24372)+E(f488(x24373,x24374,x24375,x24371),f488(x24373,x24374,x24375,x24372))
% 225.14/225.12 [2438]~E(x24381,x24382)+E(f712(x24381,x24383,x24384,x24385,x24386),f712(x24382,x24383,x24384,x24385,x24386))
% 225.14/225.12 [2439]~E(x24391,x24392)+E(f712(x24393,x24391,x24394,x24395,x24396),f712(x24393,x24392,x24394,x24395,x24396))
% 225.14/225.12 [2440]~E(x24401,x24402)+E(f712(x24403,x24404,x24401,x24405,x24406),f712(x24403,x24404,x24402,x24405,x24406))
% 225.14/225.12 [2441]~E(x24411,x24412)+E(f712(x24413,x24414,x24415,x24411,x24416),f712(x24413,x24414,x24415,x24412,x24416))
% 225.14/225.12 [2442]~E(x24421,x24422)+E(f712(x24423,x24424,x24425,x24426,x24421),f712(x24423,x24424,x24425,x24426,x24422))
% 225.14/225.12 [2443]~E(x24431,x24432)+E(f664(x24431,x24433,x24434,x24435,x24436,x24437),f664(x24432,x24433,x24434,x24435,x24436,x24437))
% 225.14/225.12 [2444]~E(x24441,x24442)+E(f664(x24443,x24441,x24444,x24445,x24446,x24447),f664(x24443,x24442,x24444,x24445,x24446,x24447))
% 225.14/225.12 [2445]~E(x24451,x24452)+E(f664(x24453,x24454,x24451,x24455,x24456,x24457),f664(x24453,x24454,x24452,x24455,x24456,x24457))
% 225.14/225.12 [2446]~E(x24461,x24462)+E(f664(x24463,x24464,x24465,x24461,x24466,x24467),f664(x24463,x24464,x24465,x24462,x24466,x24467))
% 225.14/225.12 [2447]~E(x24471,x24472)+E(f664(x24473,x24474,x24475,x24476,x24471,x24477),f664(x24473,x24474,x24475,x24476,x24472,x24477))
% 225.14/225.12 [2448]~E(x24481,x24482)+E(f664(x24483,x24484,x24485,x24486,x24487,x24481),f664(x24483,x24484,x24485,x24486,x24487,x24482))
% 225.14/225.12 [2449]~E(x24491,x24492)+E(f336(x24491),f336(x24492))
% 225.14/225.12 [2450]~E(x24501,x24502)+E(f658(x24501,x24503,x24504),f658(x24502,x24503,x24504))
% 225.14/225.12 [2451]~E(x24511,x24512)+E(f658(x24513,x24511,x24514),f658(x24513,x24512,x24514))
% 225.14/225.12 [2452]~E(x24521,x24522)+E(f658(x24523,x24524,x24521),f658(x24523,x24524,x24522))
% 225.14/225.12 [2453]~E(x24531,x24532)+E(f204(x24531),f204(x24532))
% 225.14/225.12 [2454]~E(x24541,x24542)+E(f503(x24541,x24543,x24544,x24545,x24546),f503(x24542,x24543,x24544,x24545,x24546))
% 225.14/225.12 [2455]~E(x24551,x24552)+E(f503(x24553,x24551,x24554,x24555,x24556),f503(x24553,x24552,x24554,x24555,x24556))
% 225.14/225.12 [2456]~E(x24561,x24562)+E(f503(x24563,x24564,x24561,x24565,x24566),f503(x24563,x24564,x24562,x24565,x24566))
% 225.14/225.12 [2457]~E(x24571,x24572)+E(f503(x24573,x24574,x24575,x24571,x24576),f503(x24573,x24574,x24575,x24572,x24576))
% 225.14/225.12 [2458]~E(x24581,x24582)+E(f503(x24583,x24584,x24585,x24586,x24581),f503(x24583,x24584,x24585,x24586,x24582))
% 225.14/225.12 [2459]~E(x24591,x24592)+E(f205(x24591,x24593,x24594,x24595),f205(x24592,x24593,x24594,x24595))
% 225.14/225.12 [2460]~E(x24601,x24602)+E(f205(x24603,x24601,x24604,x24605),f205(x24603,x24602,x24604,x24605))
% 225.14/225.12 [2461]~E(x24611,x24612)+E(f205(x24613,x24614,x24611,x24615),f205(x24613,x24614,x24612,x24615))
% 225.14/225.12 [2462]~E(x24621,x24622)+E(f205(x24623,x24624,x24625,x24621),f205(x24623,x24624,x24625,x24622))
% 225.14/225.12 [2463]~E(x24631,x24632)+E(f208(x24631),f208(x24632))
% 225.14/225.12 [2464]~E(x24641,x24642)+E(f703(x24641,x24643),f703(x24642,x24643))
% 225.14/225.12 [2465]~E(x24651,x24652)+E(f703(x24653,x24651),f703(x24653,x24652))
% 225.14/225.12 [2466]~E(x24661,x24662)+E(f335(x24661),f335(x24662))
% 225.14/225.12 [2467]~E(x24671,x24672)+E(f694(x24671,x24673,x24674),f694(x24672,x24673,x24674))
% 225.14/225.12 [2468]~E(x24681,x24682)+E(f694(x24683,x24681,x24684),f694(x24683,x24682,x24684))
% 225.14/225.12 [2469]~E(x24691,x24692)+E(f694(x24693,x24694,x24691),f694(x24693,x24694,x24692))
% 225.14/225.13 [2470]~E(x24701,x24702)+E(f511(x24701,x24703,x24704,x24705),f511(x24702,x24703,x24704,x24705))
% 225.14/225.13 [2471]~E(x24711,x24712)+E(f511(x24713,x24711,x24714,x24715),f511(x24713,x24712,x24714,x24715))
% 225.14/225.13 [2472]~E(x24721,x24722)+E(f511(x24723,x24724,x24721,x24725),f511(x24723,x24724,x24722,x24725))
% 225.14/225.13 [2473]~E(x24731,x24732)+E(f511(x24733,x24734,x24735,x24731),f511(x24733,x24734,x24735,x24732))
% 225.14/225.13 [2474]~E(x24741,x24742)+E(f502(x24741,x24743),f502(x24742,x24743))
% 225.14/225.13 [2475]~E(x24751,x24752)+E(f502(x24753,x24751),f502(x24753,x24752))
% 225.14/225.13 [2476]~E(x24761,x24762)+E(f666(x24761,x24763,x24764,x24765),f666(x24762,x24763,x24764,x24765))
% 225.14/225.13 [2477]~E(x24771,x24772)+E(f666(x24773,x24771,x24774,x24775),f666(x24773,x24772,x24774,x24775))
% 225.14/225.13 [2478]~E(x24781,x24782)+E(f666(x24783,x24784,x24781,x24785),f666(x24783,x24784,x24782,x24785))
% 225.14/225.13 [2479]~E(x24791,x24792)+E(f666(x24793,x24794,x24795,x24791),f666(x24793,x24794,x24795,x24792))
% 225.14/225.13 [2480]~E(x24801,x24802)+E(f885(x24801,x24803,x24804),f885(x24802,x24803,x24804))
% 225.14/225.13 [2481]~E(x24811,x24812)+E(f885(x24813,x24811,x24814),f885(x24813,x24812,x24814))
% 225.14/225.13 [2482]~E(x24821,x24822)+E(f885(x24823,x24824,x24821),f885(x24823,x24824,x24822))
% 225.14/225.13 [2483]~E(x24831,x24832)+E(f135(x24831),f135(x24832))
% 225.14/225.13 [2484]~E(x24841,x24842)+E(f540(x24841),f540(x24842))
% 225.14/225.13 [2485]~E(x24851,x24852)+E(f512(x24851,x24853,x24854,x24855),f512(x24852,x24853,x24854,x24855))
% 225.14/225.13 [2486]~E(x24861,x24862)+E(f512(x24863,x24861,x24864,x24865),f512(x24863,x24862,x24864,x24865))
% 225.14/225.13 [2487]~E(x24871,x24872)+E(f512(x24873,x24874,x24871,x24875),f512(x24873,x24874,x24872,x24875))
% 225.14/225.13 [2488]~E(x24881,x24882)+E(f512(x24883,x24884,x24885,x24881),f512(x24883,x24884,x24885,x24882))
% 225.14/225.13 [2489]~E(x24891,x24892)+E(f770(x24891,x24893,x24894,x24895),f770(x24892,x24893,x24894,x24895))
% 225.14/225.13 [2490]~E(x24901,x24902)+E(f770(x24903,x24901,x24904,x24905),f770(x24903,x24902,x24904,x24905))
% 225.14/225.13 [2491]~E(x24911,x24912)+E(f770(x24913,x24914,x24911,x24915),f770(x24913,x24914,x24912,x24915))
% 225.14/225.13 [2492]~E(x24921,x24922)+E(f770(x24923,x24924,x24925,x24921),f770(x24923,x24924,x24925,x24922))
% 225.14/225.13 [2493]~E(x24931,x24932)+E(f715(x24931,x24933,x24934),f715(x24932,x24933,x24934))
% 225.14/225.13 [2494]~E(x24941,x24942)+E(f715(x24943,x24941,x24944),f715(x24943,x24942,x24944))
% 225.14/225.13 [2495]~E(x24951,x24952)+E(f715(x24953,x24954,x24951),f715(x24953,x24954,x24952))
% 225.14/225.13 [2496]~E(x24961,x24962)+E(f533(x24961,x24963,x24964,x24965,x24966),f533(x24962,x24963,x24964,x24965,x24966))
% 225.14/225.13 [2497]~E(x24971,x24972)+E(f533(x24973,x24971,x24974,x24975,x24976),f533(x24973,x24972,x24974,x24975,x24976))
% 225.14/225.13 [2498]~E(x24981,x24982)+E(f533(x24983,x24984,x24981,x24985,x24986),f533(x24983,x24984,x24982,x24985,x24986))
% 225.14/225.13 [2499]~E(x24991,x24992)+E(f533(x24993,x24994,x24995,x24991,x24996),f533(x24993,x24994,x24995,x24992,x24996))
% 225.14/225.13 [2500]~E(x25001,x25002)+E(f533(x25003,x25004,x25005,x25006,x25001),f533(x25003,x25004,x25005,x25006,x25002))
% 225.14/225.13 [2501]~E(x25011,x25012)+E(f229(x25011,x25013,x25014,x25015),f229(x25012,x25013,x25014,x25015))
% 225.14/225.13 [2502]~E(x25021,x25022)+E(f229(x25023,x25021,x25024,x25025),f229(x25023,x25022,x25024,x25025))
% 225.14/225.13 [2503]~E(x25031,x25032)+E(f229(x25033,x25034,x25031,x25035),f229(x25033,x25034,x25032,x25035))
% 225.14/225.13 [2504]~E(x25041,x25042)+E(f229(x25043,x25044,x25045,x25041),f229(x25043,x25044,x25045,x25042))
% 225.14/225.13 [2505]~E(x25051,x25052)+E(f886(x25051,x25053,x25054,x25055),f886(x25052,x25053,x25054,x25055))
% 225.14/225.13 [2506]~E(x25061,x25062)+E(f886(x25063,x25061,x25064,x25065),f886(x25063,x25062,x25064,x25065))
% 225.14/225.13 [2507]~E(x25071,x25072)+E(f886(x25073,x25074,x25071,x25075),f886(x25073,x25074,x25072,x25075))
% 225.14/225.13 [2508]~E(x25081,x25082)+E(f886(x25083,x25084,x25085,x25081),f886(x25083,x25084,x25085,x25082))
% 225.14/225.13 [2509]~E(x25091,x25092)+E(f662(x25091,x25093,x25094),f662(x25092,x25093,x25094))
% 225.14/225.13 [2510]~E(x25101,x25102)+E(f662(x25103,x25101,x25104),f662(x25103,x25102,x25104))
% 225.14/225.13 [2511]~E(x25111,x25112)+E(f662(x25113,x25114,x25111),f662(x25113,x25114,x25112))
% 225.14/225.13 [2512]~E(x25121,x25122)+E(f827(x25121,x25123,x25124,x25125,x25126),f827(x25122,x25123,x25124,x25125,x25126))
% 225.14/225.13 [2513]~E(x25131,x25132)+E(f827(x25133,x25131,x25134,x25135,x25136),f827(x25133,x25132,x25134,x25135,x25136))
% 225.14/225.13 [2514]~E(x25141,x25142)+E(f827(x25143,x25144,x25141,x25145,x25146),f827(x25143,x25144,x25142,x25145,x25146))
% 225.14/225.13 [2515]~E(x25151,x25152)+E(f827(x25153,x25154,x25155,x25151,x25156),f827(x25153,x25154,x25155,x25152,x25156))
% 225.14/225.13 [2516]~E(x25161,x25162)+E(f827(x25163,x25164,x25165,x25166,x25161),f827(x25163,x25164,x25165,x25166,x25162))
% 225.14/225.13 [2517]~E(x25171,x25172)+E(f211(x25171,x25173,x25174,x25175,x25176,x25177,x25178),f211(x25172,x25173,x25174,x25175,x25176,x25177,x25178))
% 225.14/225.13 [2518]~E(x25181,x25182)+E(f211(x25183,x25181,x25184,x25185,x25186,x25187,x25188),f211(x25183,x25182,x25184,x25185,x25186,x25187,x25188))
% 225.14/225.13 [2519]~E(x25191,x25192)+E(f211(x25193,x25194,x25191,x25195,x25196,x25197,x25198),f211(x25193,x25194,x25192,x25195,x25196,x25197,x25198))
% 225.14/225.13 [2520]~E(x25201,x25202)+E(f211(x25203,x25204,x25205,x25201,x25206,x25207,x25208),f211(x25203,x25204,x25205,x25202,x25206,x25207,x25208))
% 225.14/225.13 [2521]~E(x25211,x25212)+E(f211(x25213,x25214,x25215,x25216,x25211,x25217,x25218),f211(x25213,x25214,x25215,x25216,x25212,x25217,x25218))
% 225.14/225.13 [2522]~E(x25221,x25222)+E(f211(x25223,x25224,x25225,x25226,x25227,x25221,x25228),f211(x25223,x25224,x25225,x25226,x25227,x25222,x25228))
% 225.14/225.13 [2523]~E(x25231,x25232)+E(f211(x25233,x25234,x25235,x25236,x25237,x25238,x25231),f211(x25233,x25234,x25235,x25236,x25237,x25238,x25232))
% 225.14/225.13 [2524]~E(x25241,x25242)+E(f402(x25241,x25243,x25244,x25245),f402(x25242,x25243,x25244,x25245))
% 225.14/225.13 [2525]~E(x25251,x25252)+E(f402(x25253,x25251,x25254,x25255),f402(x25253,x25252,x25254,x25255))
% 225.14/225.13 [2526]~E(x25261,x25262)+E(f402(x25263,x25264,x25261,x25265),f402(x25263,x25264,x25262,x25265))
% 225.14/225.13 [2527]~E(x25271,x25272)+E(f402(x25273,x25274,x25275,x25271),f402(x25273,x25274,x25275,x25272))
% 225.14/225.13 [2528]~E(x25281,x25282)+E(f819(x25281,x25283),f819(x25282,x25283))
% 225.14/225.13 [2529]~E(x25291,x25292)+E(f819(x25293,x25291),f819(x25293,x25292))
% 225.14/225.13 [2530]~E(x25301,x25302)+E(f124(x25301),f124(x25302))
% 225.14/225.13 [2531]~E(x25311,x25312)+E(f728(x25311,x25313),f728(x25312,x25313))
% 225.14/225.13 [2532]~E(x25321,x25322)+E(f728(x25323,x25321),f728(x25323,x25322))
% 225.14/225.13 [2533]~E(x25331,x25332)+E(f292(x25331,x25333),f292(x25332,x25333))
% 225.14/225.13 [2534]~E(x25341,x25342)+E(f292(x25343,x25341),f292(x25343,x25342))
% 225.14/225.13 [2535]~E(x25351,x25352)+E(f471(x25351,x25353,x25354),f471(x25352,x25353,x25354))
% 225.14/225.13 [2536]~E(x25361,x25362)+E(f471(x25363,x25361,x25364),f471(x25363,x25362,x25364))
% 225.14/225.13 [2537]~E(x25371,x25372)+E(f471(x25373,x25374,x25371),f471(x25373,x25374,x25372))
% 225.14/225.13 [2538]~E(x25381,x25382)+E(f462(x25381,x25383,x25384),f462(x25382,x25383,x25384))
% 225.14/225.13 [2539]~E(x25391,x25392)+E(f462(x25393,x25391,x25394),f462(x25393,x25392,x25394))
% 225.14/225.13 [2540]~E(x25401,x25402)+E(f462(x25403,x25404,x25401),f462(x25403,x25404,x25402))
% 225.14/225.13 [2541]~E(x25411,x25412)+E(f422(x25411,x25413,x25414,x25415),f422(x25412,x25413,x25414,x25415))
% 225.14/225.13 [2542]~E(x25421,x25422)+E(f422(x25423,x25421,x25424,x25425),f422(x25423,x25422,x25424,x25425))
% 225.14/225.13 [2543]~E(x25431,x25432)+E(f422(x25433,x25434,x25431,x25435),f422(x25433,x25434,x25432,x25435))
% 225.14/225.13 [2544]~E(x25441,x25442)+E(f422(x25443,x25444,x25445,x25441),f422(x25443,x25444,x25445,x25442))
% 225.14/225.13 [2545]~E(x25451,x25452)+E(f811(x25451,x25453),f811(x25452,x25453))
% 225.14/225.13 [2546]~E(x25461,x25462)+E(f811(x25463,x25461),f811(x25463,x25462))
% 225.14/225.13 [2547]~E(x25471,x25472)+E(f378(x25471,x25473),f378(x25472,x25473))
% 225.14/225.13 [2548]~E(x25481,x25482)+E(f378(x25483,x25481),f378(x25483,x25482))
% 225.14/225.13 [2549]~E(x25491,x25492)+E(f727(x25491,x25493),f727(x25492,x25493))
% 225.14/225.13 [2550]~E(x25501,x25502)+E(f727(x25503,x25501),f727(x25503,x25502))
% 225.14/225.13 [2551]~E(x25511,x25512)+E(f805(x25511,x25513),f805(x25512,x25513))
% 225.14/225.13 [2552]~E(x25521,x25522)+E(f805(x25523,x25521),f805(x25523,x25522))
% 225.14/225.13 [2553]~E(x25531,x25532)+E(f338(x25531,x25533),f338(x25532,x25533))
% 225.14/225.13 [2554]~E(x25541,x25542)+E(f338(x25543,x25541),f338(x25543,x25542))
% 225.14/225.13 [2555]~E(x25551,x25552)+E(f432(x25551,x25553,x25554),f432(x25552,x25553,x25554))
% 225.14/225.13 [2556]~E(x25561,x25562)+E(f432(x25563,x25561,x25564),f432(x25563,x25562,x25564))
% 225.14/225.13 [2557]~E(x25571,x25572)+E(f432(x25573,x25574,x25571),f432(x25573,x25574,x25572))
% 225.14/225.13 [2558]~E(x25581,x25582)+E(f657(x25581,x25583,x25584,x25585,x25586),f657(x25582,x25583,x25584,x25585,x25586))
% 225.14/225.13 [2559]~E(x25591,x25592)+E(f657(x25593,x25591,x25594,x25595,x25596),f657(x25593,x25592,x25594,x25595,x25596))
% 225.14/225.13 [2560]~E(x25601,x25602)+E(f657(x25603,x25604,x25601,x25605,x25606),f657(x25603,x25604,x25602,x25605,x25606))
% 225.14/225.13 [2561]~E(x25611,x25612)+E(f657(x25613,x25614,x25615,x25611,x25616),f657(x25613,x25614,x25615,x25612,x25616))
% 225.14/225.13 [2562]~E(x25621,x25622)+E(f657(x25623,x25624,x25625,x25626,x25621),f657(x25623,x25624,x25625,x25626,x25622))
% 225.14/225.13 [2563]~E(x25631,x25632)+E(f791(x25631,x25633,x25634,x25635,x25636,x25637,x25638),f791(x25632,x25633,x25634,x25635,x25636,x25637,x25638))
% 225.14/225.13 [2564]~E(x25641,x25642)+E(f791(x25643,x25641,x25644,x25645,x25646,x25647,x25648),f791(x25643,x25642,x25644,x25645,x25646,x25647,x25648))
% 225.14/225.13 [2565]~E(x25651,x25652)+E(f791(x25653,x25654,x25651,x25655,x25656,x25657,x25658),f791(x25653,x25654,x25652,x25655,x25656,x25657,x25658))
% 225.14/225.13 [2566]~E(x25661,x25662)+E(f791(x25663,x25664,x25665,x25661,x25666,x25667,x25668),f791(x25663,x25664,x25665,x25662,x25666,x25667,x25668))
% 225.14/225.13 [2567]~E(x25671,x25672)+E(f791(x25673,x25674,x25675,x25676,x25671,x25677,x25678),f791(x25673,x25674,x25675,x25676,x25672,x25677,x25678))
% 225.14/225.13 [2568]~E(x25681,x25682)+E(f791(x25683,x25684,x25685,x25686,x25687,x25681,x25688),f791(x25683,x25684,x25685,x25686,x25687,x25682,x25688))
% 225.14/225.13 [2569]~E(x25691,x25692)+E(f791(x25693,x25694,x25695,x25696,x25697,x25698,x25691),f791(x25693,x25694,x25695,x25696,x25697,x25698,x25692))
% 225.14/225.13 [2570]~E(x25701,x25702)+E(f686(x25701,x25703,x25704,x25705),f686(x25702,x25703,x25704,x25705))
% 225.14/225.13 [2571]~E(x25711,x25712)+E(f686(x25713,x25711,x25714,x25715),f686(x25713,x25712,x25714,x25715))
% 225.14/225.13 [2572]~E(x25721,x25722)+E(f686(x25723,x25724,x25721,x25725),f686(x25723,x25724,x25722,x25725))
% 225.14/225.13 [2573]~E(x25731,x25732)+E(f686(x25733,x25734,x25735,x25731),f686(x25733,x25734,x25735,x25732))
% 225.14/225.13 [2574]~E(x25741,x25742)+E(f554(x25741,x25743),f554(x25742,x25743))
% 225.14/225.13 [2575]~E(x25751,x25752)+E(f554(x25753,x25751),f554(x25753,x25752))
% 225.14/225.13 [2576]~E(x25761,x25762)+E(f531(x25761,x25763,x25764,x25765,x25766),f531(x25762,x25763,x25764,x25765,x25766))
% 225.14/225.13 [2577]~E(x25771,x25772)+E(f531(x25773,x25771,x25774,x25775,x25776),f531(x25773,x25772,x25774,x25775,x25776))
% 225.14/225.13 [2578]~E(x25781,x25782)+E(f531(x25783,x25784,x25781,x25785,x25786),f531(x25783,x25784,x25782,x25785,x25786))
% 225.14/225.13 [2579]~E(x25791,x25792)+E(f531(x25793,x25794,x25795,x25791,x25796),f531(x25793,x25794,x25795,x25792,x25796))
% 225.14/225.13 [2580]~E(x25801,x25802)+E(f531(x25803,x25804,x25805,x25806,x25801),f531(x25803,x25804,x25805,x25806,x25802))
% 225.14/225.13 [2581]~E(x25811,x25812)+E(f294(x25811,x25813,x25814),f294(x25812,x25813,x25814))
% 225.14/225.13 [2582]~E(x25821,x25822)+E(f294(x25823,x25821,x25824),f294(x25823,x25822,x25824))
% 225.14/225.13 [2583]~E(x25831,x25832)+E(f294(x25833,x25834,x25831),f294(x25833,x25834,x25832))
% 225.14/225.13 [2584]~E(x25841,x25842)+E(f504(x25841,x25843,x25844,x25845,x25846),f504(x25842,x25843,x25844,x25845,x25846))
% 225.14/225.13 [2585]~E(x25851,x25852)+E(f504(x25853,x25851,x25854,x25855,x25856),f504(x25853,x25852,x25854,x25855,x25856))
% 225.14/225.13 [2586]~E(x25861,x25862)+E(f504(x25863,x25864,x25861,x25865,x25866),f504(x25863,x25864,x25862,x25865,x25866))
% 225.14/225.13 [2587]~E(x25871,x25872)+E(f504(x25873,x25874,x25875,x25871,x25876),f504(x25873,x25874,x25875,x25872,x25876))
% 225.14/225.13 [2588]~E(x25881,x25882)+E(f504(x25883,x25884,x25885,x25886,x25881),f504(x25883,x25884,x25885,x25886,x25882))
% 225.14/225.13 [2589]~E(x25891,x25892)+E(f275(x25891,x25893,x25894,x25895),f275(x25892,x25893,x25894,x25895))
% 225.14/225.13 [2590]~E(x25901,x25902)+E(f275(x25903,x25901,x25904,x25905),f275(x25903,x25902,x25904,x25905))
% 225.14/225.13 [2591]~E(x25911,x25912)+E(f275(x25913,x25914,x25911,x25915),f275(x25913,x25914,x25912,x25915))
% 225.14/225.13 [2592]~E(x25921,x25922)+E(f275(x25923,x25924,x25925,x25921),f275(x25923,x25924,x25925,x25922))
% 225.14/225.13 [2593]~E(x25931,x25932)+E(f419(x25931,x25933,x25934,x25935),f419(x25932,x25933,x25934,x25935))
% 225.14/225.13 [2594]~E(x25941,x25942)+E(f419(x25943,x25941,x25944,x25945),f419(x25943,x25942,x25944,x25945))
% 225.14/225.13 [2595]~E(x25951,x25952)+E(f419(x25953,x25954,x25951,x25955),f419(x25953,x25954,x25952,x25955))
% 225.14/225.13 [2596]~E(x25961,x25962)+E(f419(x25963,x25964,x25965,x25961),f419(x25963,x25964,x25965,x25962))
% 225.14/225.13 [2597]~E(x25971,x25972)+E(f659(x25971,x25973,x25974),f659(x25972,x25973,x25974))
% 225.14/225.13 [2598]~E(x25981,x25982)+E(f659(x25983,x25981,x25984),f659(x25983,x25982,x25984))
% 225.14/225.13 [2599]~E(x25991,x25992)+E(f659(x25993,x25994,x25991),f659(x25993,x25994,x25992))
% 225.14/225.13 [2600]~E(x26001,x26002)+E(f656(x26001,x26003,x26004,x26005,x26006),f656(x26002,x26003,x26004,x26005,x26006))
% 225.14/225.13 [2601]~E(x26011,x26012)+E(f656(x26013,x26011,x26014,x26015,x26016),f656(x26013,x26012,x26014,x26015,x26016))
% 225.14/225.13 [2602]~E(x26021,x26022)+E(f656(x26023,x26024,x26021,x26025,x26026),f656(x26023,x26024,x26022,x26025,x26026))
% 225.14/225.13 [2603]~E(x26031,x26032)+E(f656(x26033,x26034,x26035,x26031,x26036),f656(x26033,x26034,x26035,x26032,x26036))
% 225.14/225.13 [2604]~E(x26041,x26042)+E(f656(x26043,x26044,x26045,x26046,x26041),f656(x26043,x26044,x26045,x26046,x26042))
% 225.14/225.13 [2605]~E(x26051,x26052)+E(f822(x26051,x26053),f822(x26052,x26053))
% 225.14/225.13 [2606]~E(x26061,x26062)+E(f822(x26063,x26061),f822(x26063,x26062))
% 225.14/225.13 [2607]~E(x26071,x26072)+E(f539(x26071),f539(x26072))
% 225.14/225.13 [2608]~E(x26081,x26082)+E(f741(x26081,x26083,x26084,x26085),f741(x26082,x26083,x26084,x26085))
% 225.14/225.13 [2609]~E(x26091,x26092)+E(f741(x26093,x26091,x26094,x26095),f741(x26093,x26092,x26094,x26095))
% 225.14/225.13 [2610]~E(x26101,x26102)+E(f741(x26103,x26104,x26101,x26105),f741(x26103,x26104,x26102,x26105))
% 225.14/225.13 [2611]~E(x26111,x26112)+E(f741(x26113,x26114,x26115,x26111),f741(x26113,x26114,x26115,x26112))
% 225.14/225.13 [2612]~E(x26121,x26122)+E(f95(x26121,x26123,x26124,x26125),f95(x26122,x26123,x26124,x26125))
% 225.14/225.13 [2613]~E(x26131,x26132)+E(f95(x26133,x26131,x26134,x26135),f95(x26133,x26132,x26134,x26135))
% 225.14/225.13 [2614]~E(x26141,x26142)+E(f95(x26143,x26144,x26141,x26145),f95(x26143,x26144,x26142,x26145))
% 225.14/225.13 [2615]~E(x26151,x26152)+E(f95(x26153,x26154,x26155,x26151),f95(x26153,x26154,x26155,x26152))
% 225.14/225.13 [2616]~E(x26161,x26162)+E(f517(x26161,x26163,x26164,x26165),f517(x26162,x26163,x26164,x26165))
% 225.14/225.13 [2617]~E(x26171,x26172)+E(f517(x26173,x26171,x26174,x26175),f517(x26173,x26172,x26174,x26175))
% 225.14/225.13 [2618]~E(x26181,x26182)+E(f517(x26183,x26184,x26181,x26185),f517(x26183,x26184,x26182,x26185))
% 225.14/225.13 [2619]~E(x26191,x26192)+E(f517(x26193,x26194,x26195,x26191),f517(x26193,x26194,x26195,x26192))
% 225.14/225.13 [2620]~E(x26201,x26202)+E(f742(x26201,x26203,x26204,x26205,x26206),f742(x26202,x26203,x26204,x26205,x26206))
% 225.14/225.13 [2621]~E(x26211,x26212)+E(f742(x26213,x26211,x26214,x26215,x26216),f742(x26213,x26212,x26214,x26215,x26216))
% 225.14/225.13 [2622]~E(x26221,x26222)+E(f742(x26223,x26224,x26221,x26225,x26226),f742(x26223,x26224,x26222,x26225,x26226))
% 225.14/225.13 [2623]~E(x26231,x26232)+E(f742(x26233,x26234,x26235,x26231,x26236),f742(x26233,x26234,x26235,x26232,x26236))
% 225.14/225.13 [2624]~E(x26241,x26242)+E(f742(x26243,x26244,x26245,x26246,x26241),f742(x26243,x26244,x26245,x26246,x26242))
% 225.14/225.13 [2625]~E(x26251,x26252)+E(f337(x26251,x26253),f337(x26252,x26253))
% 225.14/225.13 [2626]~E(x26261,x26262)+E(f337(x26263,x26261),f337(x26263,x26262))
% 225.14/225.13 [2627]~E(x26271,x26272)+E(f346(x26271),f346(x26272))
% 225.14/225.13 [2628]~E(x26281,x26282)+E(f564(x26281,x26283,x26284,x26285),f564(x26282,x26283,x26284,x26285))
% 225.14/225.13 [2629]~E(x26291,x26292)+E(f564(x26293,x26291,x26294,x26295),f564(x26293,x26292,x26294,x26295))
% 225.14/225.13 [2630]~E(x26301,x26302)+E(f564(x26303,x26304,x26301,x26305),f564(x26303,x26304,x26302,x26305))
% 225.14/225.13 [2631]~E(x26311,x26312)+E(f564(x26313,x26314,x26315,x26311),f564(x26313,x26314,x26315,x26312))
% 225.14/225.13 [2632]~E(x26321,x26322)+E(f246(x26321,x26323,x26324),f246(x26322,x26323,x26324))
% 225.14/225.13 [2633]~E(x26331,x26332)+E(f246(x26333,x26331,x26334),f246(x26333,x26332,x26334))
% 225.14/225.13 [2634]~E(x26341,x26342)+E(f246(x26343,x26344,x26341),f246(x26343,x26344,x26342))
% 225.14/225.13 [2635]~E(x26351,x26352)+E(f450(x26351,x26353,x26354),f450(x26352,x26353,x26354))
% 225.14/225.13 [2636]~E(x26361,x26362)+E(f450(x26363,x26361,x26364),f450(x26363,x26362,x26364))
% 225.14/225.13 [2637]~E(x26371,x26372)+E(f450(x26373,x26374,x26371),f450(x26373,x26374,x26372))
% 225.14/225.13 [2638]~E(x26381,x26382)+E(f695(x26381,x26383,x26384,x26385,x26386),f695(x26382,x26383,x26384,x26385,x26386))
% 225.14/225.13 [2639]~E(x26391,x26392)+E(f695(x26393,x26391,x26394,x26395,x26396),f695(x26393,x26392,x26394,x26395,x26396))
% 225.14/225.13 [2640]~E(x26401,x26402)+E(f695(x26403,x26404,x26401,x26405,x26406),f695(x26403,x26404,x26402,x26405,x26406))
% 225.14/225.13 [2641]~E(x26411,x26412)+E(f695(x26413,x26414,x26415,x26411,x26416),f695(x26413,x26414,x26415,x26412,x26416))
% 225.14/225.13 [2642]~E(x26421,x26422)+E(f695(x26423,x26424,x26425,x26426,x26421),f695(x26423,x26424,x26425,x26426,x26422))
% 225.14/225.13 [2643]~E(x26431,x26432)+E(f94(x26431,x26433,x26434,x26435),f94(x26432,x26433,x26434,x26435))
% 225.14/225.13 [2644]~E(x26441,x26442)+E(f94(x26443,x26441,x26444,x26445),f94(x26443,x26442,x26444,x26445))
% 225.14/225.13 [2645]~E(x26451,x26452)+E(f94(x26453,x26454,x26451,x26455),f94(x26453,x26454,x26452,x26455))
% 225.14/225.13 [2646]~E(x26461,x26462)+E(f94(x26463,x26464,x26465,x26461),f94(x26463,x26464,x26465,x26462))
% 225.14/225.13 [2647]~E(x26471,x26472)+E(f492(x26471,x26473,x26474,x26475),f492(x26472,x26473,x26474,x26475))
% 225.14/225.13 [2648]~E(x26481,x26482)+E(f492(x26483,x26481,x26484,x26485),f492(x26483,x26482,x26484,x26485))
% 225.14/225.13 [2649]~E(x26491,x26492)+E(f492(x26493,x26494,x26491,x26495),f492(x26493,x26494,x26492,x26495))
% 225.14/225.13 [2650]~E(x26501,x26502)+E(f492(x26503,x26504,x26505,x26501),f492(x26503,x26504,x26505,x26502))
% 225.14/225.13 [2651]~E(x26511,x26512)+E(f456(x26511,x26513,x26514,x26515,x26516),f456(x26512,x26513,x26514,x26515,x26516))
% 225.14/225.13 [2652]~E(x26521,x26522)+E(f456(x26523,x26521,x26524,x26525,x26526),f456(x26523,x26522,x26524,x26525,x26526))
% 225.14/225.13 [2653]~E(x26531,x26532)+E(f456(x26533,x26534,x26531,x26535,x26536),f456(x26533,x26534,x26532,x26535,x26536))
% 225.14/225.13 [2654]~E(x26541,x26542)+E(f456(x26543,x26544,x26545,x26541,x26546),f456(x26543,x26544,x26545,x26542,x26546))
% 225.14/225.13 [2655]~E(x26551,x26552)+E(f456(x26553,x26554,x26555,x26556,x26551),f456(x26553,x26554,x26555,x26556,x26552))
% 225.14/225.13 [2656]~E(x26561,x26562)+E(f495(x26561,x26563,x26564,x26565,x26566,x26567),f495(x26562,x26563,x26564,x26565,x26566,x26567))
% 225.14/225.13 [2657]~E(x26571,x26572)+E(f495(x26573,x26571,x26574,x26575,x26576,x26577),f495(x26573,x26572,x26574,x26575,x26576,x26577))
% 225.14/225.13 [2658]~E(x26581,x26582)+E(f495(x26583,x26584,x26581,x26585,x26586,x26587),f495(x26583,x26584,x26582,x26585,x26586,x26587))
% 225.14/225.13 [2659]~E(x26591,x26592)+E(f495(x26593,x26594,x26595,x26591,x26596,x26597),f495(x26593,x26594,x26595,x26592,x26596,x26597))
% 225.14/225.13 [2660]~E(x26601,x26602)+E(f495(x26603,x26604,x26605,x26606,x26601,x26607),f495(x26603,x26604,x26605,x26606,x26602,x26607))
% 225.14/225.13 [2661]~E(x26611,x26612)+E(f495(x26613,x26614,x26615,x26616,x26617,x26611),f495(x26613,x26614,x26615,x26616,x26617,x26612))
% 225.14/225.13 [2662]~E(x26621,x26622)+E(f846(x26621,x26623,x26624,x26625,x26626,x26627,x26628),f846(x26622,x26623,x26624,x26625,x26626,x26627,x26628))
% 225.14/225.13 [2663]~E(x26631,x26632)+E(f846(x26633,x26631,x26634,x26635,x26636,x26637,x26638),f846(x26633,x26632,x26634,x26635,x26636,x26637,x26638))
% 225.14/225.13 [2664]~E(x26641,x26642)+E(f846(x26643,x26644,x26641,x26645,x26646,x26647,x26648),f846(x26643,x26644,x26642,x26645,x26646,x26647,x26648))
% 225.14/225.13 [2665]~E(x26651,x26652)+E(f846(x26653,x26654,x26655,x26651,x26656,x26657,x26658),f846(x26653,x26654,x26655,x26652,x26656,x26657,x26658))
% 225.14/225.13 [2666]~E(x26661,x26662)+E(f846(x26663,x26664,x26665,x26666,x26661,x26667,x26668),f846(x26663,x26664,x26665,x26666,x26662,x26667,x26668))
% 225.14/225.13 [2667]~E(x26671,x26672)+E(f846(x26673,x26674,x26675,x26676,x26677,x26671,x26678),f846(x26673,x26674,x26675,x26676,x26677,x26672,x26678))
% 225.14/225.13 [2668]~E(x26681,x26682)+E(f846(x26683,x26684,x26685,x26686,x26687,x26688,x26681),f846(x26683,x26684,x26685,x26686,x26687,x26688,x26682))
% 225.14/225.13 [2669]~E(x26691,x26692)+E(f588(x26691,x26693,x26694,x26695,x26696,x26697,x26698),f588(x26692,x26693,x26694,x26695,x26696,x26697,x26698))
% 225.14/225.13 [2670]~E(x26701,x26702)+E(f588(x26703,x26701,x26704,x26705,x26706,x26707,x26708),f588(x26703,x26702,x26704,x26705,x26706,x26707,x26708))
% 225.14/225.13 [2671]~E(x26711,x26712)+E(f588(x26713,x26714,x26711,x26715,x26716,x26717,x26718),f588(x26713,x26714,x26712,x26715,x26716,x26717,x26718))
% 225.14/225.13 [2672]~E(x26721,x26722)+E(f588(x26723,x26724,x26725,x26721,x26726,x26727,x26728),f588(x26723,x26724,x26725,x26722,x26726,x26727,x26728))
% 225.14/225.13 [2673]~E(x26731,x26732)+E(f588(x26733,x26734,x26735,x26736,x26731,x26737,x26738),f588(x26733,x26734,x26735,x26736,x26732,x26737,x26738))
% 225.14/225.13 [2674]~E(x26741,x26742)+E(f588(x26743,x26744,x26745,x26746,x26747,x26741,x26748),f588(x26743,x26744,x26745,x26746,x26747,x26742,x26748))
% 225.14/225.13 [2675]~E(x26751,x26752)+E(f588(x26753,x26754,x26755,x26756,x26757,x26758,x26751),f588(x26753,x26754,x26755,x26756,x26757,x26758,x26752))
% 225.14/225.13 [2676]~E(x26761,x26762)+E(f542(x26761,x26763,x26764),f542(x26762,x26763,x26764))
% 225.14/225.13 [2677]~E(x26771,x26772)+E(f542(x26773,x26771,x26774),f542(x26773,x26772,x26774))
% 225.14/225.13 [2678]~E(x26781,x26782)+E(f542(x26783,x26784,x26781),f542(x26783,x26784,x26782))
% 225.14/225.13 [2679]~E(x26791,x26792)+E(f761(x26791,x26793,x26794),f761(x26792,x26793,x26794))
% 225.14/225.13 [2680]~E(x26801,x26802)+E(f761(x26803,x26801,x26804),f761(x26803,x26802,x26804))
% 225.14/225.13 [2681]~E(x26811,x26812)+E(f761(x26813,x26814,x26811),f761(x26813,x26814,x26812))
% 225.14/225.13 [2682]~E(x26821,x26822)+E(f415(x26821,x26823),f415(x26822,x26823))
% 225.14/225.13 [2683]~E(x26831,x26832)+E(f415(x26833,x26831),f415(x26833,x26832))
% 225.14/225.13 [2684]~E(x26841,x26842)+E(f762(x26841,x26843,x26844),f762(x26842,x26843,x26844))
% 225.14/225.13 [2685]~E(x26851,x26852)+E(f762(x26853,x26851,x26854),f762(x26853,x26852,x26854))
% 225.14/225.13 [2686]~E(x26861,x26862)+E(f762(x26863,x26864,x26861),f762(x26863,x26864,x26862))
% 225.14/225.13 [2687]~E(x26871,x26872)+E(f535(x26871,x26873),f535(x26872,x26873))
% 225.14/225.13 [2688]~E(x26881,x26882)+E(f535(x26883,x26881),f535(x26883,x26882))
% 225.14/225.13 [2689]~E(x26891,x26892)+E(f599(x26891,x26893,x26894),f599(x26892,x26893,x26894))
% 225.14/225.13 [2690]~E(x26901,x26902)+E(f599(x26903,x26901,x26904),f599(x26903,x26902,x26904))
% 225.14/225.13 [2691]~E(x26911,x26912)+E(f599(x26913,x26914,x26911),f599(x26913,x26914,x26912))
% 225.14/225.13 [2692]~E(x26921,x26922)+E(f583(x26921,x26923),f583(x26922,x26923))
% 225.14/225.13 [2693]~E(x26931,x26932)+E(f583(x26933,x26931),f583(x26933,x26932))
% 225.14/225.13 [2694]~E(x26941,x26942)+E(f570(x26941,x26943,x26944,x26945),f570(x26942,x26943,x26944,x26945))
% 225.14/225.13 [2695]~E(x26951,x26952)+E(f570(x26953,x26951,x26954,x26955),f570(x26953,x26952,x26954,x26955))
% 225.14/225.13 [2696]~E(x26961,x26962)+E(f570(x26963,x26964,x26961,x26965),f570(x26963,x26964,x26962,x26965))
% 225.14/225.13 [2697]~E(x26971,x26972)+E(f570(x26973,x26974,x26975,x26971),f570(x26973,x26974,x26975,x26972))
% 225.14/225.13 [2698]~E(x26981,x26982)+E(f405(x26981,x26983,x26984,x26985),f405(x26982,x26983,x26984,x26985))
% 225.14/225.13 [2699]~E(x26991,x26992)+E(f405(x26993,x26991,x26994,x26995),f405(x26993,x26992,x26994,x26995))
% 225.14/225.13 [2700]~E(x27001,x27002)+E(f405(x27003,x27004,x27001,x27005),f405(x27003,x27004,x27002,x27005))
% 225.14/225.13 [2701]~E(x27011,x27012)+E(f405(x27013,x27014,x27015,x27011),f405(x27013,x27014,x27015,x27012))
% 225.14/225.13 [2702]~E(x27021,x27022)+E(f878(x27021),f878(x27022))
% 225.14/225.13 [2703]~E(x27031,x27032)+E(f484(x27031,x27033,x27034,x27035),f484(x27032,x27033,x27034,x27035))
% 225.14/225.13 [2704]~E(x27041,x27042)+E(f484(x27043,x27041,x27044,x27045),f484(x27043,x27042,x27044,x27045))
% 225.14/225.13 [2705]~E(x27051,x27052)+E(f484(x27053,x27054,x27051,x27055),f484(x27053,x27054,x27052,x27055))
% 225.14/225.13 [2706]~E(x27061,x27062)+E(f484(x27063,x27064,x27065,x27061),f484(x27063,x27064,x27065,x27062))
% 225.14/225.13 [2707]~E(x27071,x27072)+E(f882(x27071,x27073,x27074,x27075,x27076),f882(x27072,x27073,x27074,x27075,x27076))
% 225.14/225.13 [2708]~E(x27081,x27082)+E(f882(x27083,x27081,x27084,x27085,x27086),f882(x27083,x27082,x27084,x27085,x27086))
% 225.14/225.13 [2709]~E(x27091,x27092)+E(f882(x27093,x27094,x27091,x27095,x27096),f882(x27093,x27094,x27092,x27095,x27096))
% 225.14/225.13 [2710]~E(x27101,x27102)+E(f882(x27103,x27104,x27105,x27101,x27106),f882(x27103,x27104,x27105,x27102,x27106))
% 225.14/225.13 [2711]~E(x27111,x27112)+E(f882(x27113,x27114,x27115,x27116,x27111),f882(x27113,x27114,x27115,x27116,x27112))
% 225.14/225.13 [2712]~E(x27121,x27122)+E(f673(x27121,x27123),f673(x27122,x27123))
% 225.14/225.13 [2713]~E(x27131,x27132)+E(f673(x27133,x27131),f673(x27133,x27132))
% 225.14/225.13 [2714]~E(x27141,x27142)+E(f601(x27141,x27143),f601(x27142,x27143))
% 225.14/225.13 [2715]~E(x27151,x27152)+E(f601(x27153,x27151),f601(x27153,x27152))
% 225.14/225.13 [2716]~E(x27161,x27162)+E(f594(x27161,x27163,x27164,x27165,x27166,x27167),f594(x27162,x27163,x27164,x27165,x27166,x27167))
% 225.14/225.13 [2717]~E(x27171,x27172)+E(f594(x27173,x27171,x27174,x27175,x27176,x27177),f594(x27173,x27172,x27174,x27175,x27176,x27177))
% 225.14/225.13 [2718]~E(x27181,x27182)+E(f594(x27183,x27184,x27181,x27185,x27186,x27187),f594(x27183,x27184,x27182,x27185,x27186,x27187))
% 225.14/225.13 [2719]~E(x27191,x27192)+E(f594(x27193,x27194,x27195,x27191,x27196,x27197),f594(x27193,x27194,x27195,x27192,x27196,x27197))
% 225.14/225.13 [2720]~E(x27201,x27202)+E(f594(x27203,x27204,x27205,x27206,x27201,x27207),f594(x27203,x27204,x27205,x27206,x27202,x27207))
% 225.14/225.13 [2721]~E(x27211,x27212)+E(f594(x27213,x27214,x27215,x27216,x27217,x27211),f594(x27213,x27214,x27215,x27216,x27217,x27212))
% 225.14/225.13 [2722]~E(x27221,x27222)+E(f369(x27221),f369(x27222))
% 225.14/225.13 [2723]~E(x27231,x27232)+E(f371(x27231,x27233),f371(x27232,x27233))
% 225.14/225.13 [2724]~E(x27241,x27242)+E(f371(x27243,x27241),f371(x27243,x27242))
% 225.14/225.13 [2725]~E(x27251,x27252)+E(f272(x27251,x27253,x27254,x27255),f272(x27252,x27253,x27254,x27255))
% 225.14/225.13 [2726]~E(x27261,x27262)+E(f272(x27263,x27261,x27264,x27265),f272(x27263,x27262,x27264,x27265))
% 225.14/225.13 [2727]~E(x27271,x27272)+E(f272(x27273,x27274,x27271,x27275),f272(x27273,x27274,x27272,x27275))
% 225.14/225.13 [2728]~E(x27281,x27282)+E(f272(x27283,x27284,x27285,x27281),f272(x27283,x27284,x27285,x27282))
% 225.14/225.13 [2729]~E(x27291,x27292)+E(f207(x27291,x27293,x27294,x27295,x27296,x27297,x27298),f207(x27292,x27293,x27294,x27295,x27296,x27297,x27298))
% 225.14/225.13 [2730]~E(x27301,x27302)+E(f207(x27303,x27301,x27304,x27305,x27306,x27307,x27308),f207(x27303,x27302,x27304,x27305,x27306,x27307,x27308))
% 225.14/225.13 [2731]~E(x27311,x27312)+E(f207(x27313,x27314,x27311,x27315,x27316,x27317,x27318),f207(x27313,x27314,x27312,x27315,x27316,x27317,x27318))
% 225.14/225.13 [2732]~E(x27321,x27322)+E(f207(x27323,x27324,x27325,x27321,x27326,x27327,x27328),f207(x27323,x27324,x27325,x27322,x27326,x27327,x27328))
% 225.14/225.13 [2733]~E(x27331,x27332)+E(f207(x27333,x27334,x27335,x27336,x27331,x27337,x27338),f207(x27333,x27334,x27335,x27336,x27332,x27337,x27338))
% 225.14/225.13 [2734]~E(x27341,x27342)+E(f207(x27343,x27344,x27345,x27346,x27347,x27341,x27348),f207(x27343,x27344,x27345,x27346,x27347,x27342,x27348))
% 225.14/225.13 [2735]~E(x27351,x27352)+E(f207(x27353,x27354,x27355,x27356,x27357,x27358,x27351),f207(x27353,x27354,x27355,x27356,x27357,x27358,x27352))
% 225.14/225.13 [2736]~E(x27361,x27362)+E(f496(x27361,x27363,x27364,x27365),f496(x27362,x27363,x27364,x27365))
% 225.14/225.13 [2737]~E(x27371,x27372)+E(f496(x27373,x27371,x27374,x27375),f496(x27373,x27372,x27374,x27375))
% 225.14/225.13 [2738]~E(x27381,x27382)+E(f496(x27383,x27384,x27381,x27385),f496(x27383,x27384,x27382,x27385))
% 225.14/225.13 [2739]~E(x27391,x27392)+E(f496(x27393,x27394,x27395,x27391),f496(x27393,x27394,x27395,x27392))
% 225.14/225.13 [2740]~E(x27401,x27402)+E(f200(x27401),f200(x27402))
% 225.14/225.13 [2741]~E(x27411,x27412)+E(f660(x27411,x27413,x27414),f660(x27412,x27413,x27414))
% 225.14/225.13 [2742]~E(x27421,x27422)+E(f660(x27423,x27421,x27424),f660(x27423,x27422,x27424))
% 225.14/225.13 [2743]~E(x27431,x27432)+E(f660(x27433,x27434,x27431),f660(x27433,x27434,x27432))
% 225.14/225.13 [2744]~E(x27441,x27442)+E(f427(x27441,x27443,x27444,x27445),f427(x27442,x27443,x27444,x27445))
% 225.14/225.13 [2745]~E(x27451,x27452)+E(f427(x27453,x27451,x27454,x27455),f427(x27453,x27452,x27454,x27455))
% 225.14/225.13 [2746]~E(x27461,x27462)+E(f427(x27463,x27464,x27461,x27465),f427(x27463,x27464,x27462,x27465))
% 225.14/225.13 [2747]~E(x27471,x27472)+E(f427(x27473,x27474,x27475,x27471),f427(x27473,x27474,x27475,x27472))
% 225.14/225.13 [2748]~E(x27481,x27482)+E(f755(x27481,x27483,x27484),f755(x27482,x27483,x27484))
% 225.14/225.13 [2749]~E(x27491,x27492)+E(f755(x27493,x27491,x27494),f755(x27493,x27492,x27494))
% 225.14/225.13 [2750]~E(x27501,x27502)+E(f755(x27503,x27504,x27501),f755(x27503,x27504,x27502))
% 225.14/225.13 [2751]~E(x27511,x27512)+E(f561(x27511,x27513,x27514,x27515,x27516,x27517),f561(x27512,x27513,x27514,x27515,x27516,x27517))
% 225.14/225.13 [2752]~E(x27521,x27522)+E(f561(x27523,x27521,x27524,x27525,x27526,x27527),f561(x27523,x27522,x27524,x27525,x27526,x27527))
% 225.14/225.13 [2753]~E(x27531,x27532)+E(f561(x27533,x27534,x27531,x27535,x27536,x27537),f561(x27533,x27534,x27532,x27535,x27536,x27537))
% 225.14/225.13 [2754]~E(x27541,x27542)+E(f561(x27543,x27544,x27545,x27541,x27546,x27547),f561(x27543,x27544,x27545,x27542,x27546,x27547))
% 225.14/225.13 [2755]~E(x27551,x27552)+E(f561(x27553,x27554,x27555,x27556,x27551,x27557),f561(x27553,x27554,x27555,x27556,x27552,x27557))
% 225.14/225.13 [2756]~E(x27561,x27562)+E(f561(x27563,x27564,x27565,x27566,x27567,x27561),f561(x27563,x27564,x27565,x27566,x27567,x27562))
% 225.14/225.13 [2757]~E(x27571,x27572)+E(f802(x27571,x27573),f802(x27572,x27573))
% 225.14/225.13 [2758]~E(x27581,x27582)+E(f802(x27583,x27581),f802(x27583,x27582))
% 225.14/225.13 [2759]~E(x27591,x27592)+E(f743(x27591,x27593),f743(x27592,x27593))
% 225.14/225.13 [2760]~E(x27601,x27602)+E(f743(x27603,x27601),f743(x27603,x27602))
% 225.14/225.13 [2761]~E(x27611,x27612)+E(f700(x27611,x27613,x27614,x27615,x27616),f700(x27612,x27613,x27614,x27615,x27616))
% 225.14/225.13 [2762]~E(x27621,x27622)+E(f700(x27623,x27621,x27624,x27625,x27626),f700(x27623,x27622,x27624,x27625,x27626))
% 225.14/225.13 [2763]~E(x27631,x27632)+E(f700(x27633,x27634,x27631,x27635,x27636),f700(x27633,x27634,x27632,x27635,x27636))
% 225.14/225.13 [2764]~E(x27641,x27642)+E(f700(x27643,x27644,x27645,x27641,x27646),f700(x27643,x27644,x27645,x27642,x27646))
% 225.14/225.13 [2765]~E(x27651,x27652)+E(f700(x27653,x27654,x27655,x27656,x27651),f700(x27653,x27654,x27655,x27656,x27652))
% 225.14/225.13 [2766]~E(x27661,x27662)+E(f567(x27661,x27663),f567(x27662,x27663))
% 225.14/225.13 [2767]~E(x27671,x27672)+E(f567(x27673,x27671),f567(x27673,x27672))
% 225.14/225.13 [2768]~E(x27681,x27682)+E(f744(x27681,x27683,x27684,x27685,x27686),f744(x27682,x27683,x27684,x27685,x27686))
% 225.14/225.13 [2769]~E(x27691,x27692)+E(f744(x27693,x27691,x27694,x27695,x27696),f744(x27693,x27692,x27694,x27695,x27696))
% 225.14/225.13 [2770]~E(x27701,x27702)+E(f744(x27703,x27704,x27701,x27705,x27706),f744(x27703,x27704,x27702,x27705,x27706))
% 225.14/225.13 [2771]~E(x27711,x27712)+E(f744(x27713,x27714,x27715,x27711,x27716),f744(x27713,x27714,x27715,x27712,x27716))
% 225.14/225.13 [2772]~E(x27721,x27722)+E(f744(x27723,x27724,x27725,x27726,x27721),f744(x27723,x27724,x27725,x27726,x27722))
% 225.14/225.13 [2773]~E(x27731,x27732)+E(f880(x27731,x27733),f880(x27732,x27733))
% 225.14/225.13 [2774]~E(x27741,x27742)+E(f880(x27743,x27741),f880(x27743,x27742))
% 225.14/225.13 [2775]~E(x27751,x27752)+E(f433(x27751,x27753,x27754),f433(x27752,x27753,x27754))
% 225.14/225.13 [2776]~E(x27761,x27762)+E(f433(x27763,x27761,x27764),f433(x27763,x27762,x27764))
% 225.14/225.13 [2777]~E(x27771,x27772)+E(f433(x27773,x27774,x27771),f433(x27773,x27774,x27772))
% 225.14/225.13 [2778]~E(x27781,x27782)+E(f19(x27781,x27783,x27784,x27785),f19(x27782,x27783,x27784,x27785))
% 225.14/225.13 [2779]~E(x27791,x27792)+E(f19(x27793,x27791,x27794,x27795),f19(x27793,x27792,x27794,x27795))
% 225.14/225.13 [2780]~E(x27801,x27802)+E(f19(x27803,x27804,x27801,x27805),f19(x27803,x27804,x27802,x27805))
% 225.14/225.13 [2781]~E(x27811,x27812)+E(f19(x27813,x27814,x27815,x27811),f19(x27813,x27814,x27815,x27812))
% 225.14/225.13 [2782]~E(x27821,x27822)+E(f387(x27821,x27823,x27824),f387(x27822,x27823,x27824))
% 225.14/225.13 [2783]~E(x27831,x27832)+E(f387(x27833,x27831,x27834),f387(x27833,x27832,x27834))
% 225.14/225.13 [2784]~E(x27841,x27842)+E(f387(x27843,x27844,x27841),f387(x27843,x27844,x27842))
% 225.14/225.13 [2785]~E(x27851,x27852)+E(f614(x27851,x27853),f614(x27852,x27853))
% 225.14/225.13 [2786]~E(x27861,x27862)+E(f614(x27863,x27861),f614(x27863,x27862))
% 225.14/225.13 [2787]~E(x27871,x27872)+E(f379(x27871,x27873,x27874,x27875),f379(x27872,x27873,x27874,x27875))
% 225.14/225.13 [2788]~E(x27881,x27882)+E(f379(x27883,x27881,x27884,x27885),f379(x27883,x27882,x27884,x27885))
% 225.14/225.13 [2789]~E(x27891,x27892)+E(f379(x27893,x27894,x27891,x27895),f379(x27893,x27894,x27892,x27895))
% 225.14/225.13 [2790]~E(x27901,x27902)+E(f379(x27903,x27904,x27905,x27901),f379(x27903,x27904,x27905,x27902))
% 225.14/225.13 [2791]~E(x27911,x27912)+E(f375(x27911,x27913,x27914,x27915),f375(x27912,x27913,x27914,x27915))
% 225.14/225.13 [2792]~E(x27921,x27922)+E(f375(x27923,x27921,x27924,x27925),f375(x27923,x27922,x27924,x27925))
% 225.14/225.13 [2793]~E(x27931,x27932)+E(f375(x27933,x27934,x27931,x27935),f375(x27933,x27934,x27932,x27935))
% 225.14/225.13 [2794]~E(x27941,x27942)+E(f375(x27943,x27944,x27945,x27941),f375(x27943,x27944,x27945,x27942))
% 225.14/225.13 [2795]~E(x27951,x27952)+E(f889(x27951,x27953,x27954),f889(x27952,x27953,x27954))
% 225.14/225.13 [2796]~E(x27961,x27962)+E(f889(x27963,x27961,x27964),f889(x27963,x27962,x27964))
% 225.14/225.13 [2797]~E(x27971,x27972)+E(f889(x27973,x27974,x27971),f889(x27973,x27974,x27972))
% 225.14/225.13 [2798]~E(x27981,x27982)+E(f860(x27981,x27983,x27984),f860(x27982,x27983,x27984))
% 225.14/225.13 [2799]~E(x27991,x27992)+E(f860(x27993,x27991,x27994),f860(x27993,x27992,x27994))
% 225.14/225.13 [2800]~E(x28001,x28002)+E(f860(x28003,x28004,x28001),f860(x28003,x28004,x28002))
% 225.14/225.13 [2801]~E(x28011,x28012)+E(f910(x28011,x28013,x28014),f910(x28012,x28013,x28014))
% 225.14/225.13 [2802]~E(x28021,x28022)+E(f910(x28023,x28021,x28024),f910(x28023,x28022,x28024))
% 225.14/225.13 [2803]~E(x28031,x28032)+E(f910(x28033,x28034,x28031),f910(x28033,x28034,x28032))
% 225.14/225.13 [2804]~E(x28041,x28042)+E(f264(x28041,x28043,x28044),f264(x28042,x28043,x28044))
% 225.14/225.13 [2805]~E(x28051,x28052)+E(f264(x28053,x28051,x28054),f264(x28053,x28052,x28054))
% 225.14/225.13 [2806]~E(x28061,x28062)+E(f264(x28063,x28064,x28061),f264(x28063,x28064,x28062))
% 225.14/225.13 [2807]~E(x28071,x28072)+E(f297(x28071,x28073,x28074),f297(x28072,x28073,x28074))
% 225.14/225.13 [2808]~E(x28081,x28082)+E(f297(x28083,x28081,x28084),f297(x28083,x28082,x28084))
% 225.14/225.13 [2809]~E(x28091,x28092)+E(f297(x28093,x28094,x28091),f297(x28093,x28094,x28092))
% 225.14/225.13 [2810]~E(x28101,x28102)+E(f260(x28101,x28103,x28104,x28105,x28106),f260(x28102,x28103,x28104,x28105,x28106))
% 225.14/225.13 [2811]~E(x28111,x28112)+E(f260(x28113,x28111,x28114,x28115,x28116),f260(x28113,x28112,x28114,x28115,x28116))
% 225.14/225.13 [2812]~E(x28121,x28122)+E(f260(x28123,x28124,x28121,x28125,x28126),f260(x28123,x28124,x28122,x28125,x28126))
% 225.14/225.13 [2813]~E(x28131,x28132)+E(f260(x28133,x28134,x28135,x28131,x28136),f260(x28133,x28134,x28135,x28132,x28136))
% 225.14/225.13 [2814]~E(x28141,x28142)+E(f260(x28143,x28144,x28145,x28146,x28141),f260(x28143,x28144,x28145,x28146,x28142))
% 225.14/225.13 [2815]~E(x28151,x28152)+E(f888(x28151,x28153,x28154),f888(x28152,x28153,x28154))
% 225.14/225.13 [2816]~E(x28161,x28162)+E(f888(x28163,x28161,x28164),f888(x28163,x28162,x28164))
% 225.14/225.13 [2817]~E(x28171,x28172)+E(f888(x28173,x28174,x28171),f888(x28173,x28174,x28172))
% 225.14/225.13 [2818]~E(x28181,x28182)+E(f693(x28181,x28183,x28184),f693(x28182,x28183,x28184))
% 225.14/225.13 [2819]~E(x28191,x28192)+E(f693(x28193,x28191,x28194),f693(x28193,x28192,x28194))
% 225.14/225.13 [2820]~E(x28201,x28202)+E(f693(x28203,x28204,x28201),f693(x28203,x28204,x28202))
% 225.14/225.13 [2821]~E(x28211,x28212)+E(f608(x28211,x28213,x28214,x28215),f608(x28212,x28213,x28214,x28215))
% 225.14/225.13 [2822]~E(x28221,x28222)+E(f608(x28223,x28221,x28224,x28225),f608(x28223,x28222,x28224,x28225))
% 225.14/225.13 [2823]~E(x28231,x28232)+E(f608(x28233,x28234,x28231,x28235),f608(x28233,x28234,x28232,x28235))
% 225.14/225.13 [2824]~E(x28241,x28242)+E(f608(x28243,x28244,x28245,x28241),f608(x28243,x28244,x28245,x28242))
% 225.14/225.13 [2825]~E(x28251,x28252)+E(f563(x28251,x28253,x28254,x28255),f563(x28252,x28253,x28254,x28255))
% 225.14/225.13 [2826]~E(x28261,x28262)+E(f563(x28263,x28261,x28264,x28265),f563(x28263,x28262,x28264,x28265))
% 225.14/225.13 [2827]~E(x28271,x28272)+E(f563(x28273,x28274,x28271,x28275),f563(x28273,x28274,x28272,x28275))
% 225.14/225.13 [2828]~E(x28281,x28282)+E(f563(x28283,x28284,x28285,x28281),f563(x28283,x28284,x28285,x28282))
% 225.14/225.13 [2829]~E(x28291,x28292)+E(f718(x28291,x28293),f718(x28292,x28293))
% 225.14/225.13 [2830]~E(x28301,x28302)+E(f718(x28303,x28301),f718(x28303,x28302))
% 225.14/225.13 [2831]~E(x28311,x28312)+E(f571(x28311,x28313,x28314,x28315),f571(x28312,x28313,x28314,x28315))
% 225.14/225.13 [2832]~E(x28321,x28322)+E(f571(x28323,x28321,x28324,x28325),f571(x28323,x28322,x28324,x28325))
% 225.14/225.13 [2833]~E(x28331,x28332)+E(f571(x28333,x28334,x28331,x28335),f571(x28333,x28334,x28332,x28335))
% 225.14/225.13 [2834]~E(x28341,x28342)+E(f571(x28343,x28344,x28345,x28341),f571(x28343,x28344,x28345,x28342))
% 225.14/225.13 [2835]~E(x28351,x28352)+E(f123(x28351),f123(x28352))
% 225.14/225.13 [2836]~E(x28361,x28362)+E(f900(x28361,x28363),f900(x28362,x28363))
% 225.14/225.13 [2837]~E(x28371,x28372)+E(f900(x28373,x28371),f900(x28373,x28372))
% 225.14/225.13 [2838]~E(x28381,x28382)+E(f804(x28381,x28383),f804(x28382,x28383))
% 225.14/225.13 [2839]~E(x28391,x28392)+E(f804(x28393,x28391),f804(x28393,x28392))
% 225.14/225.13 [2840]~E(x28401,x28402)+E(f228(x28401,x28403,x28404),f228(x28402,x28403,x28404))
% 225.14/225.13 [2841]~E(x28411,x28412)+E(f228(x28413,x28411,x28414),f228(x28413,x28412,x28414))
% 225.14/225.13 [2842]~E(x28421,x28422)+E(f228(x28423,x28424,x28421),f228(x28423,x28424,x28422))
% 225.14/225.13 [2843]~E(x28431,x28432)+E(f795(x28431),f795(x28432))
% 225.14/225.13 [2844]~E(x28441,x28442)+E(f224(x28441,x28443,x28444,x28445,x28446),f224(x28442,x28443,x28444,x28445,x28446))
% 225.14/225.13 [2845]~E(x28451,x28452)+E(f224(x28453,x28451,x28454,x28455,x28456),f224(x28453,x28452,x28454,x28455,x28456))
% 225.14/225.13 [2846]~E(x28461,x28462)+E(f224(x28463,x28464,x28461,x28465,x28466),f224(x28463,x28464,x28462,x28465,x28466))
% 225.14/225.13 [2847]~E(x28471,x28472)+E(f224(x28473,x28474,x28475,x28471,x28476),f224(x28473,x28474,x28475,x28472,x28476))
% 225.14/225.13 [2848]~E(x28481,x28482)+E(f224(x28483,x28484,x28485,x28486,x28481),f224(x28483,x28484,x28485,x28486,x28482))
% 225.14/225.13 [2849]~E(x28491,x28492)+E(f367(x28491),f367(x28492))
% 225.14/225.13 [2850]~P1(x28501)+P1(x28502)+~E(x28501,x28502)
% 225.14/225.13 [2851]~P105(x28511)+P105(x28512)+~E(x28511,x28512)
% 225.14/225.13 [2852]P12(x28522,x28523,x28524,x28525,x28526,x28527)+~E(x28521,x28522)+~P12(x28521,x28523,x28524,x28525,x28526,x28527)
% 225.14/225.13 [2853]P12(x28533,x28532,x28534,x28535,x28536,x28537)+~E(x28531,x28532)+~P12(x28533,x28531,x28534,x28535,x28536,x28537)
% 225.14/225.13 [2854]P12(x28543,x28544,x28542,x28545,x28546,x28547)+~E(x28541,x28542)+~P12(x28543,x28544,x28541,x28545,x28546,x28547)
% 225.14/225.13 [2855]P12(x28553,x28554,x28555,x28552,x28556,x28557)+~E(x28551,x28552)+~P12(x28553,x28554,x28555,x28551,x28556,x28557)
% 225.14/225.13 [2856]P12(x28563,x28564,x28565,x28566,x28562,x28567)+~E(x28561,x28562)+~P12(x28563,x28564,x28565,x28566,x28561,x28567)
% 225.14/225.13 [2857]P12(x28573,x28574,x28575,x28576,x28577,x28572)+~E(x28571,x28572)+~P12(x28573,x28574,x28575,x28576,x28577,x28571)
% 225.14/225.13 [2858]~P106(x28581)+P106(x28582)+~E(x28581,x28582)
% 225.14/225.13 [2859]~P108(x28591)+P108(x28592)+~E(x28591,x28592)
% 225.14/225.13 [2860]~P100(x28601)+P100(x28602)+~E(x28601,x28602)
% 225.14/225.13 [2861]~P120(x28611)+P120(x28612)+~E(x28611,x28612)
% 225.14/225.13 [2862]~P107(x28621)+P107(x28622)+~E(x28621,x28622)
% 225.14/225.13 [2863]P25(x28632,x28633,x28634,x28635)+~E(x28631,x28632)+~P25(x28631,x28633,x28634,x28635)
% 225.14/225.13 [2864]P25(x28643,x28642,x28644,x28645)+~E(x28641,x28642)+~P25(x28643,x28641,x28644,x28645)
% 225.14/225.13 [2865]P25(x28653,x28654,x28652,x28655)+~E(x28651,x28652)+~P25(x28653,x28654,x28651,x28655)
% 225.14/225.13 [2866]P25(x28663,x28664,x28665,x28662)+~E(x28661,x28662)+~P25(x28663,x28664,x28665,x28661)
% 225.14/225.13 [2867]~P145(x28671)+P145(x28672)+~E(x28671,x28672)
% 225.14/225.13 [2868]~P70(x28681)+P70(x28682)+~E(x28681,x28682)
% 225.14/225.13 [2869]~P99(x28691)+P99(x28692)+~E(x28691,x28692)
% 225.14/225.13 [2870]~P5(x28701)+P5(x28702)+~E(x28701,x28702)
% 225.14/225.13 [2871]~P102(x28711)+P102(x28712)+~E(x28711,x28712)
% 225.14/225.13 [2872]~P109(x28721)+P109(x28722)+~E(x28721,x28722)
% 225.14/225.13 [2873]P13(x28732,x28733)+~E(x28731,x28732)+~P13(x28731,x28733)
% 225.14/225.13 [2874]P13(x28743,x28742)+~E(x28741,x28742)+~P13(x28743,x28741)
% 225.14/225.13 [2875]P147(x28752,x28753,x28754)+~E(x28751,x28752)+~P147(x28751,x28753,x28754)
% 225.14/225.13 [2876]P147(x28763,x28762,x28764)+~E(x28761,x28762)+~P147(x28763,x28761,x28764)
% 225.14/225.13 [2877]P147(x28773,x28774,x28772)+~E(x28771,x28772)+~P147(x28773,x28774,x28771)
% 225.14/225.13 [2878]~P63(x28781)+P63(x28782)+~E(x28781,x28782)
% 225.14/225.13 [2879]~P2(x28791)+P2(x28792)+~E(x28791,x28792)
% 225.14/225.13 [2880]~P68(x28801)+P68(x28802)+~E(x28801,x28802)
% 225.14/225.13 [2881]~P65(x28811)+P65(x28812)+~E(x28811,x28812)
% 225.14/225.13 [2882]~P69(x28821)+P69(x28822)+~E(x28821,x28822)
% 225.14/225.13 [2883]~P141(x28831)+P141(x28832)+~E(x28831,x28832)
% 225.14/225.13 [2884]~P92(x28841)+P92(x28842)+~E(x28841,x28842)
% 225.14/225.13 [2885]~P77(x28851)+P77(x28852)+~E(x28851,x28852)
% 225.14/225.13 [2886]~P66(x28861)+P66(x28862)+~E(x28861,x28862)
% 225.14/225.13 [2887]~P133(x28871)+P133(x28872)+~E(x28871,x28872)
% 225.14/225.13 [2888]~P3(x28881)+P3(x28882)+~E(x28881,x28882)
% 225.14/225.13 [2889]~P67(x28891)+P67(x28892)+~E(x28891,x28892)
% 225.14/225.13 [2890]~P110(x28901)+P110(x28902)+~E(x28901,x28902)
% 225.14/225.13 [2891]P148(x28912,x28913,x28914)+~E(x28911,x28912)+~P148(x28911,x28913,x28914)
% 225.14/225.13 [2892]P148(x28923,x28922,x28924)+~E(x28921,x28922)+~P148(x28923,x28921,x28924)
% 225.14/225.13 [2893]P148(x28933,x28934,x28932)+~E(x28931,x28932)+~P148(x28933,x28934,x28931)
% 225.14/225.13 [2894]~P80(x28941)+P80(x28942)+~E(x28941,x28942)
% 225.14/225.13 [2895]~P75(x28951)+P75(x28952)+~E(x28951,x28952)
% 225.14/225.13 [2896]~P64(x28961)+P64(x28962)+~E(x28961,x28962)
% 225.14/225.13 [2897]P33(x28972,x28973,x28974)+~E(x28971,x28972)+~P33(x28971,x28973,x28974)
% 225.14/225.13 [2898]P33(x28983,x28982,x28984)+~E(x28981,x28982)+~P33(x28983,x28981,x28984)
% 225.14/225.13 [2899]P33(x28993,x28994,x28992)+~E(x28991,x28992)+~P33(x28993,x28994,x28991)
% 225.14/225.13 [2900]P18(x29002,x29003,x29004)+~E(x29001,x29002)+~P18(x29001,x29003,x29004)
% 225.14/225.13 [2901]P18(x29013,x29012,x29014)+~E(x29011,x29012)+~P18(x29013,x29011,x29014)
% 225.14/225.13 [2902]P18(x29023,x29024,x29022)+~E(x29021,x29022)+~P18(x29023,x29024,x29021)
% 225.14/225.13 [2903]~P81(x29031)+P81(x29032)+~E(x29031,x29032)
% 225.14/225.13 [2904]~P90(x29041)+P90(x29042)+~E(x29041,x29042)
% 225.14/225.13 [2905]~P40(x29051)+P40(x29052)+~E(x29051,x29052)
% 225.14/225.13 [2906]~P71(x29061)+P71(x29062)+~E(x29061,x29062)
% 225.14/225.13 [2907]P58(x29072,x29073,x29074,x29075)+~E(x29071,x29072)+~P58(x29071,x29073,x29074,x29075)
% 225.14/225.13 [2908]P58(x29083,x29082,x29084,x29085)+~E(x29081,x29082)+~P58(x29083,x29081,x29084,x29085)
% 225.14/225.13 [2909]P58(x29093,x29094,x29092,x29095)+~E(x29091,x29092)+~P58(x29093,x29094,x29091,x29095)
% 225.14/225.13 [2910]P58(x29103,x29104,x29105,x29102)+~E(x29101,x29102)+~P58(x29103,x29104,x29105,x29101)
% 225.14/225.13 [2911]P52(x29112,x29113,x29114)+~E(x29111,x29112)+~P52(x29111,x29113,x29114)
% 225.14/225.13 [2912]P52(x29123,x29122,x29124)+~E(x29121,x29122)+~P52(x29123,x29121,x29124)
% 225.14/225.13 [2913]P52(x29133,x29134,x29132)+~E(x29131,x29132)+~P52(x29133,x29134,x29131)
% 225.14/225.13 [2914]~P72(x29141)+P72(x29142)+~E(x29141,x29142)
% 225.14/225.13 [2915]~P91(x29151)+P91(x29152)+~E(x29151,x29152)
% 225.14/225.13 [2916]~P61(x29161)+P61(x29162)+~E(x29161,x29162)
% 225.14/225.13 [2917]~P82(x29171)+P82(x29172)+~E(x29171,x29172)
% 225.14/225.13 [2918]P57(x29182,x29183)+~E(x29181,x29182)+~P57(x29181,x29183)
% 225.14/225.13 [2919]P57(x29193,x29192)+~E(x29191,x29192)+~P57(x29193,x29191)
% 225.14/225.13 [2920]~P74(x29201)+P74(x29202)+~E(x29201,x29202)
% 225.14/225.13 [2921]~P134(x29211)+P134(x29212)+~E(x29211,x29212)
% 225.14/225.13 [2922]P28(x29222,x29223)+~E(x29221,x29222)+~P28(x29221,x29223)
% 225.14/225.13 [2923]P28(x29233,x29232)+~E(x29231,x29232)+~P28(x29233,x29231)
% 225.14/225.13 [2924]P7(x29242,x29243)+~E(x29241,x29242)+~P7(x29241,x29243)
% 225.14/225.13 [2925]P7(x29253,x29252)+~E(x29251,x29252)+~P7(x29253,x29251)
% 225.14/225.13 [2926]~P83(x29261)+P83(x29262)+~E(x29261,x29262)
% 225.14/225.13 [2927]~P84(x29271)+P84(x29272)+~E(x29271,x29272)
% 225.14/225.13 [2928]~P113(x29281)+P113(x29282)+~E(x29281,x29282)
% 225.14/225.13 [2929]P26(x29292,x29293,x29294,x29295,x29296)+~E(x29291,x29292)+~P26(x29291,x29293,x29294,x29295,x29296)
% 225.14/225.13 [2930]P26(x29303,x29302,x29304,x29305,x29306)+~E(x29301,x29302)+~P26(x29303,x29301,x29304,x29305,x29306)
% 225.14/225.13 [2931]P26(x29313,x29314,x29312,x29315,x29316)+~E(x29311,x29312)+~P26(x29313,x29314,x29311,x29315,x29316)
% 225.14/225.13 [2932]P26(x29323,x29324,x29325,x29322,x29326)+~E(x29321,x29322)+~P26(x29323,x29324,x29325,x29321,x29326)
% 225.14/225.13 [2933]P26(x29333,x29334,x29335,x29336,x29332)+~E(x29331,x29332)+~P26(x29333,x29334,x29335,x29336,x29331)
% 225.14/225.13 [2934]~P111(x29341)+P111(x29342)+~E(x29341,x29342)
% 225.14/225.13 [2935]~P78(x29351)+P78(x29352)+~E(x29351,x29352)
% 225.14/225.13 [2936]~P146(x29361)+P146(x29362)+~E(x29361,x29362)
% 225.14/225.13 [2937]~P123(x29371)+P123(x29372)+~E(x29371,x29372)
% 225.14/225.13 [2938]~P79(x29381)+P79(x29382)+~E(x29381,x29382)
% 225.14/225.13 [2939]~P127(x29391)+P127(x29392)+~E(x29391,x29392)
% 225.14/225.13 [2940]~P142(x29401)+P142(x29402)+~E(x29401,x29402)
% 225.14/225.13 [2941]~P112(x29411)+P112(x29412)+~E(x29411,x29412)
% 225.14/225.13 [2942]P23(x29422,x29423,x29424,x29425,x29426,x29427)+~E(x29421,x29422)+~P23(x29421,x29423,x29424,x29425,x29426,x29427)
% 225.14/225.13 [2943]P23(x29433,x29432,x29434,x29435,x29436,x29437)+~E(x29431,x29432)+~P23(x29433,x29431,x29434,x29435,x29436,x29437)
% 225.14/225.13 [2944]P23(x29443,x29444,x29442,x29445,x29446,x29447)+~E(x29441,x29442)+~P23(x29443,x29444,x29441,x29445,x29446,x29447)
% 225.14/225.13 [2945]P23(x29453,x29454,x29455,x29452,x29456,x29457)+~E(x29451,x29452)+~P23(x29453,x29454,x29455,x29451,x29456,x29457)
% 225.14/225.13 [2946]P23(x29463,x29464,x29465,x29466,x29462,x29467)+~E(x29461,x29462)+~P23(x29463,x29464,x29465,x29466,x29461,x29467)
% 225.14/225.13 [2947]P23(x29473,x29474,x29475,x29476,x29477,x29472)+~E(x29471,x29472)+~P23(x29473,x29474,x29475,x29476,x29477,x29471)
% 225.14/225.13 [2948]~P6(x29481)+P6(x29482)+~E(x29481,x29482)
% 225.14/225.13 [2949]P37(x29492,x29493)+~E(x29491,x29492)+~P37(x29491,x29493)
% 225.14/225.13 [2950]P37(x29503,x29502)+~E(x29501,x29502)+~P37(x29503,x29501)
% 225.14/225.13 [2951]~P139(x29511)+P139(x29512)+~E(x29511,x29512)
% 225.14/225.13 [2952]~P122(x29521)+P122(x29522)+~E(x29521,x29522)
% 225.14/225.13 [2953]~P138(x29531)+P138(x29532)+~E(x29531,x29532)
% 225.14/225.13 [2954]~P114(x29541)+P114(x29542)+~E(x29541,x29542)
% 225.14/225.13 [2955]P39(x29552,x29553)+~E(x29551,x29552)+~P39(x29551,x29553)
% 225.14/225.13 [2956]P39(x29563,x29562)+~E(x29561,x29562)+~P39(x29563,x29561)
% 225.14/225.13 [2957]~P124(x29571)+P124(x29572)+~E(x29571,x29572)
% 225.14/225.13 [2958]P8(x29582,x29583,x29584)+~E(x29581,x29582)+~P8(x29581,x29583,x29584)
% 225.14/225.13 [2959]P8(x29593,x29592,x29594)+~E(x29591,x29592)+~P8(x29593,x29591,x29594)
% 225.14/225.13 [2960]P8(x29603,x29604,x29602)+~E(x29601,x29602)+~P8(x29603,x29604,x29601)
% 225.14/225.13 [2961]P34(x29612,x29613,x29614,x29615,x29616)+~E(x29611,x29612)+~P34(x29611,x29613,x29614,x29615,x29616)
% 225.14/225.13 [2962]P34(x29623,x29622,x29624,x29625,x29626)+~E(x29621,x29622)+~P34(x29623,x29621,x29624,x29625,x29626)
% 225.14/225.13 [2963]P34(x29633,x29634,x29632,x29635,x29636)+~E(x29631,x29632)+~P34(x29633,x29634,x29631,x29635,x29636)
% 225.14/225.13 [2964]P34(x29643,x29644,x29645,x29642,x29646)+~E(x29641,x29642)+~P34(x29643,x29644,x29645,x29641,x29646)
% 225.14/225.13 [2965]P34(x29653,x29654,x29655,x29656,x29652)+~E(x29651,x29652)+~P34(x29653,x29654,x29655,x29656,x29651)
% 225.14/225.13 [2966]~P115(x29661)+P115(x29662)+~E(x29661,x29662)
% 225.14/225.13 [2967]~P143(x29671)+P143(x29672)+~E(x29671,x29672)
% 225.14/225.13 [2968]~P98(x29681)+P98(x29682)+~E(x29681,x29682)
% 225.14/225.13 [2969]~P129(x29691)+P129(x29692)+~E(x29691,x29692)
% 225.14/225.13 [2970]~P85(x29701)+P85(x29702)+~E(x29701,x29702)
% 225.14/225.13 [2971]P38(x29712,x29713)+~E(x29711,x29712)+~P38(x29711,x29713)
% 225.14/225.13 [2972]P38(x29723,x29722)+~E(x29721,x29722)+~P38(x29723,x29721)
% 225.14/225.13 [2973]P17(x29732,x29733,x29734)+~E(x29731,x29732)+~P17(x29731,x29733,x29734)
% 225.14/225.13 [2974]P17(x29743,x29742,x29744)+~E(x29741,x29742)+~P17(x29743,x29741,x29744)
% 225.14/225.13 [2975]P17(x29753,x29754,x29752)+~E(x29751,x29752)+~P17(x29753,x29754,x29751)
% 225.14/225.13 [2976]~P62(x29761)+P62(x29762)+~E(x29761,x29762)
% 225.14/225.13 [2977]~P128(x29771)+P128(x29772)+~E(x29771,x29772)
% 225.14/225.13 [2978]P16(x29782,x29783,x29784)+~E(x29781,x29782)+~P16(x29781,x29783,x29784)
% 225.14/225.13 [2979]P16(x29793,x29792,x29794)+~E(x29791,x29792)+~P16(x29793,x29791,x29794)
% 225.14/225.13 [2980]P16(x29803,x29804,x29802)+~E(x29801,x29802)+~P16(x29803,x29804,x29801)
% 225.14/225.13 [2981]~P130(x29811)+P130(x29812)+~E(x29811,x29812)
% 225.14/225.13 [2982]~P132(x29821)+P132(x29822)+~E(x29821,x29822)
% 225.14/225.13 [2983]~P60(x29831)+P60(x29832)+~E(x29831,x29832)
% 225.14/225.13 [2984]P31(x29842,x29843,x29844)+~E(x29841,x29842)+~P31(x29841,x29843,x29844)
% 225.14/225.13 [2985]P31(x29853,x29852,x29854)+~E(x29851,x29852)+~P31(x29853,x29851,x29854)
% 225.14/225.13 [2986]P31(x29863,x29864,x29862)+~E(x29861,x29862)+~P31(x29863,x29864,x29861)
% 225.14/225.13 [2987]~P140(x29871)+P140(x29872)+~E(x29871,x29872)
% 225.14/225.13 [2988]P54(x29882,x29883,x29884)+~E(x29881,x29882)+~P54(x29881,x29883,x29884)
% 225.14/225.13 [2989]P54(x29893,x29892,x29894)+~E(x29891,x29892)+~P54(x29893,x29891,x29894)
% 225.14/225.13 [2990]P54(x29903,x29904,x29902)+~E(x29901,x29902)+~P54(x29903,x29904,x29901)
% 225.14/225.13 [2991]P21(x29912,x29913,x29914,x29915,x29916)+~E(x29911,x29912)+~P21(x29911,x29913,x29914,x29915,x29916)
% 225.14/225.13 [2992]P21(x29923,x29922,x29924,x29925,x29926)+~E(x29921,x29922)+~P21(x29923,x29921,x29924,x29925,x29926)
% 225.14/225.13 [2993]P21(x29933,x29934,x29932,x29935,x29936)+~E(x29931,x29932)+~P21(x29933,x29934,x29931,x29935,x29936)
% 225.14/225.13 [2994]P21(x29943,x29944,x29945,x29942,x29946)+~E(x29941,x29942)+~P21(x29943,x29944,x29945,x29941,x29946)
% 225.14/225.13 [2995]P21(x29953,x29954,x29955,x29956,x29952)+~E(x29951,x29952)+~P21(x29953,x29954,x29955,x29956,x29951)
% 225.14/225.13 [2996]~P101(x29961)+P101(x29962)+~E(x29961,x29962)
% 225.14/225.13 [2997]~P144(x29971)+P144(x29972)+~E(x29971,x29972)
% 225.14/225.13 [2998]~P4(x29981)+P4(x29982)+~E(x29981,x29982)
% 225.14/225.13 [2999]P56(x29992,x29993,x29994,x29995,x29996)+~E(x29991,x29992)+~P56(x29991,x29993,x29994,x29995,x29996)
% 225.14/225.13 [3000]P56(x30003,x30002,x30004,x30005,x30006)+~E(x30001,x30002)+~P56(x30003,x30001,x30004,x30005,x30006)
% 225.14/225.13 [3001]P56(x30013,x30014,x30012,x30015,x30016)+~E(x30011,x30012)+~P56(x30013,x30014,x30011,x30015,x30016)
% 225.14/225.13 [3002]P56(x30023,x30024,x30025,x30022,x30026)+~E(x30021,x30022)+~P56(x30023,x30024,x30025,x30021,x30026)
% 225.14/225.13 [3003]P56(x30033,x30034,x30035,x30036,x30032)+~E(x30031,x30032)+~P56(x30033,x30034,x30035,x30036,x30031)
% 225.14/225.13 [3004]P51(x30042,x30043)+~E(x30041,x30042)+~P51(x30041,x30043)
% 225.14/225.13 [3005]P51(x30053,x30052)+~E(x30051,x30052)+~P51(x30053,x30051)
% 225.14/225.13 [3006]P32(x30062,x30063,x30064,x30065)+~E(x30061,x30062)+~P32(x30061,x30063,x30064,x30065)
% 225.14/225.13 [3007]P32(x30073,x30072,x30074,x30075)+~E(x30071,x30072)+~P32(x30073,x30071,x30074,x30075)
% 225.14/225.13 [3008]P32(x30083,x30084,x30082,x30085)+~E(x30081,x30082)+~P32(x30083,x30084,x30081,x30085)
% 225.14/225.13 [3009]P32(x30093,x30094,x30095,x30092)+~E(x30091,x30092)+~P32(x30093,x30094,x30095,x30091)
% 225.14/225.13 [3010]~P86(x30101)+P86(x30102)+~E(x30101,x30102)
% 225.14/225.13 [3011]P24(x30112,x30113,x30114)+~E(x30111,x30112)+~P24(x30111,x30113,x30114)
% 225.14/225.13 [3012]P24(x30123,x30122,x30124)+~E(x30121,x30122)+~P24(x30123,x30121,x30124)
% 225.14/225.13 [3013]P24(x30133,x30134,x30132)+~E(x30131,x30132)+~P24(x30133,x30134,x30131)
% 225.14/225.13 [3014]~P93(x30141)+P93(x30142)+~E(x30141,x30142)
% 225.14/225.13 [3015]~P135(x30151)+P135(x30152)+~E(x30151,x30152)
% 225.14/225.13 [3016]P44(x30162,x30163)+~E(x30161,x30162)+~P44(x30161,x30163)
% 225.14/225.13 [3017]P44(x30173,x30172)+~E(x30171,x30172)+~P44(x30173,x30171)
% 225.14/225.13 [3018]P27(x30182,x30183)+~E(x30181,x30182)+~P27(x30181,x30183)
% 225.14/225.13 [3019]P27(x30193,x30192)+~E(x30191,x30192)+~P27(x30193,x30191)
% 225.14/225.13 [3020]~P137(x30201)+P137(x30202)+~E(x30201,x30202)
% 225.14/225.13 [3021]P11(x30212,x30213,x30214,x30215)+~E(x30211,x30212)+~P11(x30211,x30213,x30214,x30215)
% 225.14/225.13 [3022]P11(x30223,x30222,x30224,x30225)+~E(x30221,x30222)+~P11(x30223,x30221,x30224,x30225)
% 225.14/225.13 [3023]P11(x30233,x30234,x30232,x30235)+~E(x30231,x30232)+~P11(x30233,x30234,x30231,x30235)
% 225.14/225.13 [3024]P11(x30243,x30244,x30245,x30242)+~E(x30241,x30242)+~P11(x30243,x30244,x30245,x30241)
% 225.14/225.13 [3025]P20(x30252,x30253,x30254,x30255)+~E(x30251,x30252)+~P20(x30251,x30253,x30254,x30255)
% 225.14/225.13 [3026]P20(x30263,x30262,x30264,x30265)+~E(x30261,x30262)+~P20(x30263,x30261,x30264,x30265)
% 225.14/225.13 [3027]P20(x30273,x30274,x30272,x30275)+~E(x30271,x30272)+~P20(x30273,x30274,x30271,x30275)
% 225.14/225.13 [3028]P20(x30283,x30284,x30285,x30282)+~E(x30281,x30282)+~P20(x30283,x30284,x30285,x30281)
% 225.14/225.13 [3029]~P136(x30291)+P136(x30292)+~E(x30291,x30292)
% 225.14/225.13 [3030]P55(x30302,x30303,x30304)+~E(x30301,x30302)+~P55(x30301,x30303,x30304)
% 225.14/225.13 [3031]P55(x30313,x30312,x30314)+~E(x30311,x30312)+~P55(x30313,x30311,x30314)
% 225.14/225.13 [3032]P55(x30323,x30324,x30322)+~E(x30321,x30322)+~P55(x30323,x30324,x30321)
% 225.14/225.13 [3033]P14(x30332,x30333,x30334)+~E(x30331,x30332)+~P14(x30331,x30333,x30334)
% 225.14/225.13 [3034]P14(x30343,x30342,x30344)+~E(x30341,x30342)+~P14(x30343,x30341,x30344)
% 225.14/225.13 [3035]P14(x30353,x30354,x30352)+~E(x30351,x30352)+~P14(x30353,x30354,x30351)
% 225.14/225.13 [3036]~P121(x30361)+P121(x30362)+~E(x30361,x30362)
% 225.14/225.13 [3037]P22(x30372,x30373,x30374,x30375,x30376,x30377)+~E(x30371,x30372)+~P22(x30371,x30373,x30374,x30375,x30376,x30377)
% 225.14/225.13 [3038]P22(x30383,x30382,x30384,x30385,x30386,x30387)+~E(x30381,x30382)+~P22(x30383,x30381,x30384,x30385,x30386,x30387)
% 225.14/225.13 [3039]P22(x30393,x30394,x30392,x30395,x30396,x30397)+~E(x30391,x30392)+~P22(x30393,x30394,x30391,x30395,x30396,x30397)
% 225.14/225.13 [3040]P22(x30403,x30404,x30405,x30402,x30406,x30407)+~E(x30401,x30402)+~P22(x30403,x30404,x30405,x30401,x30406,x30407)
% 225.14/225.13 [3041]P22(x30413,x30414,x30415,x30416,x30412,x30417)+~E(x30411,x30412)+~P22(x30413,x30414,x30415,x30416,x30411,x30417)
% 225.14/225.13 [3042]P22(x30423,x30424,x30425,x30426,x30427,x30422)+~E(x30421,x30422)+~P22(x30423,x30424,x30425,x30426,x30427,x30421)
% 225.14/225.13 [3043]P35(x30432,x30433,x30434)+~E(x30431,x30432)+~P35(x30431,x30433,x30434)
% 225.14/225.13 [3044]P35(x30443,x30442,x30444)+~E(x30441,x30442)+~P35(x30443,x30441,x30444)
% 225.14/225.13 [3045]P35(x30453,x30454,x30452)+~E(x30451,x30452)+~P35(x30453,x30454,x30451)
% 225.14/225.13 [3046]P49(x30462,x30463)+~E(x30461,x30462)+~P49(x30461,x30463)
% 225.14/225.13 [3047]P49(x30473,x30472)+~E(x30471,x30472)+~P49(x30473,x30471)
% 225.14/225.13 [3048]~P94(x30481)+P94(x30482)+~E(x30481,x30482)
% 225.14/225.13 [3049]P15(x30492,x30493)+~E(x30491,x30492)+~P15(x30491,x30493)
% 225.14/225.13 [3050]P15(x30503,x30502)+~E(x30501,x30502)+~P15(x30503,x30501)
% 225.14/225.13 [3051]P43(x30512,x30513)+~E(x30511,x30512)+~P43(x30511,x30513)
% 225.14/225.13 [3052]P43(x30523,x30522)+~E(x30521,x30522)+~P43(x30523,x30521)
% 225.14/225.13 [3053]~P131(x30531)+P131(x30532)+~E(x30531,x30532)
% 225.14/225.13 [3054]~P116(x30541)+P116(x30542)+~E(x30541,x30542)
% 225.14/225.13 [3055]P19(x30552,x30553,x30554,x30555)+~E(x30551,x30552)+~P19(x30551,x30553,x30554,x30555)
% 225.14/225.13 [3056]P19(x30563,x30562,x30564,x30565)+~E(x30561,x30562)+~P19(x30563,x30561,x30564,x30565)
% 225.14/225.13 [3057]P19(x30573,x30574,x30572,x30575)+~E(x30571,x30572)+~P19(x30573,x30574,x30571,x30575)
% 225.14/225.13 [3058]P19(x30583,x30584,x30585,x30582)+~E(x30581,x30582)+~P19(x30583,x30584,x30585,x30581)
% 225.14/225.13 [3059]~P103(x30591)+P103(x30592)+~E(x30591,x30592)
% 225.14/225.13 [3060]~P95(x30601)+P95(x30602)+~E(x30601,x30602)
% 225.14/225.13 [3061]P29(x30612,x30613,x30614)+~E(x30611,x30612)+~P29(x30611,x30613,x30614)
% 225.14/225.13 [3062]P29(x30623,x30622,x30624)+~E(x30621,x30622)+~P29(x30623,x30621,x30624)
% 225.14/225.13 [3063]P29(x30633,x30634,x30632)+~E(x30631,x30632)+~P29(x30633,x30634,x30631)
% 225.14/225.13 [3064]~P87(x30641)+P87(x30642)+~E(x30641,x30642)
% 225.14/225.13 [3065]P42(x30652,x30653,x30654,x30655,x30656,x30657)+~E(x30651,x30652)+~P42(x30651,x30653,x30654,x30655,x30656,x30657)
% 225.14/225.13 [3066]P42(x30663,x30662,x30664,x30665,x30666,x30667)+~E(x30661,x30662)+~P42(x30663,x30661,x30664,x30665,x30666,x30667)
% 225.14/225.13 [3067]P42(x30673,x30674,x30672,x30675,x30676,x30677)+~E(x30671,x30672)+~P42(x30673,x30674,x30671,x30675,x30676,x30677)
% 225.14/225.13 [3068]P42(x30683,x30684,x30685,x30682,x30686,x30687)+~E(x30681,x30682)+~P42(x30683,x30684,x30685,x30681,x30686,x30687)
% 225.14/225.13 [3069]P42(x30693,x30694,x30695,x30696,x30692,x30697)+~E(x30691,x30692)+~P42(x30693,x30694,x30695,x30696,x30691,x30697)
% 225.14/225.13 [3070]P42(x30703,x30704,x30705,x30706,x30707,x30702)+~E(x30701,x30702)+~P42(x30703,x30704,x30705,x30706,x30707,x30701)
% 225.14/225.13 [3071]~P89(x30711)+P89(x30712)+~E(x30711,x30712)
% 225.14/225.13 [3072]P46(x30722,x30723)+~E(x30721,x30722)+~P46(x30721,x30723)
% 225.14/225.13 [3073]P46(x30733,x30732)+~E(x30731,x30732)+~P46(x30733,x30731)
% 225.14/225.13 [3074]~P96(x30741)+P96(x30742)+~E(x30741,x30742)
% 225.14/225.13 [3075]P59(x30752,x30753)+~E(x30751,x30752)+~P59(x30751,x30753)
% 225.14/225.13 [3076]P59(x30763,x30762)+~E(x30761,x30762)+~P59(x30763,x30761)
% 225.14/225.13 [3077]~P45(x30771)+P45(x30772)+~E(x30771,x30772)
% 225.14/225.13 [3078]P50(x30782,x30783)+~E(x30781,x30782)+~P50(x30781,x30783)
% 225.14/225.13 [3079]P50(x30793,x30792)+~E(x30791,x30792)+~P50(x30793,x30791)
% 225.14/225.13 [3080]P53(x30802,x30803)+~E(x30801,x30802)+~P53(x30801,x30803)
% 225.14/225.13 [3081]P53(x30813,x30812)+~E(x30811,x30812)+~P53(x30813,x30811)
% 225.14/225.13 [3082]~P119(x30821)+P119(x30822)+~E(x30821,x30822)
% 225.14/225.13 [3083]P10(x30832,x30833,x30834,x30835,x30836)+~E(x30831,x30832)+~P10(x30831,x30833,x30834,x30835,x30836)
% 225.14/225.13 [3084]P10(x30843,x30842,x30844,x30845,x30846)+~E(x30841,x30842)+~P10(x30843,x30841,x30844,x30845,x30846)
% 225.14/225.13 [3085]P10(x30853,x30854,x30852,x30855,x30856)+~E(x30851,x30852)+~P10(x30853,x30854,x30851,x30855,x30856)
% 225.14/225.13 [3086]P10(x30863,x30864,x30865,x30862,x30866)+~E(x30861,x30862)+~P10(x30863,x30864,x30865,x30861,x30866)
% 225.14/225.13 [3087]P10(x30873,x30874,x30875,x30876,x30872)+~E(x30871,x30872)+~P10(x30873,x30874,x30875,x30876,x30871)
% 225.14/225.13 [3088]~P73(x30881)+P73(x30882)+~E(x30881,x30882)
% 225.14/225.13 [3089]~P88(x30891)+P88(x30892)+~E(x30891,x30892)
% 225.14/225.13 [3090]~P125(x30901)+P125(x30902)+~E(x30901,x30902)
% 225.14/225.13 [3091]~P36(x30911)+P36(x30912)+~E(x30911,x30912)
% 225.14/225.13 [3092]P48(x30922,x30923,x30924)+~E(x30921,x30922)+~P48(x30921,x30923,x30924)
% 225.14/225.13 [3093]P48(x30933,x30932,x30934)+~E(x30931,x30932)+~P48(x30933,x30931,x30934)
% 225.14/225.13 [3094]P48(x30943,x30944,x30942)+~E(x30941,x30942)+~P48(x30943,x30944,x30941)
% 225.14/225.13 [3095]~P97(x30951)+P97(x30952)+~E(x30951,x30952)
% 225.14/225.13 [3096]~P104(x30961)+P104(x30962)+~E(x30961,x30962)
% 225.14/225.13 [3097]P47(x30972,x30973,x30974)+~E(x30971,x30972)+~P47(x30971,x30973,x30974)
% 225.14/225.13 [3098]P47(x30983,x30982,x30984)+~E(x30981,x30982)+~P47(x30983,x30981,x30984)
% 225.14/225.13 [3099]P47(x30993,x30994,x30992)+~E(x30991,x30992)+~P47(x30993,x30994,x30991)
% 225.14/225.13 [3100]P30(x31002,x31003,x31004)+~E(x31001,x31002)+~P30(x31001,x31003,x31004)
% 225.14/225.13 [3101]P30(x31013,x31012,x31014)+~E(x31011,x31012)+~P30(x31013,x31011,x31014)
% 225.14/225.13 [3102]P30(x31023,x31024,x31022)+~E(x31021,x31022)+~P30(x31023,x31024,x31021)
% 225.14/225.13 [3103]~P76(x31031)+P76(x31032)+~E(x31031,x31032)
% 225.14/225.13 [3104]P41(x31042,x31043,x31044,x31045)+~E(x31041,x31042)+~P41(x31041,x31043,x31044,x31045)
% 225.14/225.13 [3105]P41(x31053,x31052,x31054,x31055)+~E(x31051,x31052)+~P41(x31053,x31051,x31054,x31055)
% 225.14/225.13 [3106]P41(x31063,x31064,x31062,x31065)+~E(x31061,x31062)+~P41(x31063,x31064,x31061,x31065)
% 225.14/225.13 [3107]P41(x31073,x31074,x31075,x31072)+~E(x31071,x31072)+~P41(x31073,x31074,x31075,x31071)
% 225.14/225.13 [3108]P9(x31082,x31083,x31084)+~E(x31081,x31082)+~P9(x31081,x31083,x31084)
% 225.14/225.13 [3109]P9(x31093,x31092,x31094)+~E(x31091,x31092)+~P9(x31093,x31091,x31094)
% 225.14/225.13 [3110]P9(x31103,x31104,x31102)+~E(x31101,x31102)+~P9(x31103,x31104,x31101)
% 225.14/225.13 [3111]~P117(x31111)+P117(x31112)+~E(x31111,x31112)
% 225.14/225.13 [3112]~P118(x31121)+P118(x31122)+~E(x31121,x31122)
% 225.14/225.13 [3113]~P126(x31131)+P126(x31132)+~E(x31131,x31132)
% 225.14/225.13
% 225.14/225.13 %-------------------------------------------
% 225.14/225.18 cnf(10480,plain,
% 225.14/225.18 (~E(f326(a112,x104801),x104801)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10489,plain,
% 225.14/225.18 (~E(f326(f168(x104891),f326(a112,f326(f168(x104891),x104892))),x104892)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,3307,3345,3356,4727,4760,4786,4841,4845,4873,4888])).
% 225.14/225.18 cnf(10490,plain,
% 225.14/225.18 (~E(f326(a112,x104901),x104901)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10503,plain,
% 225.14/225.18 (~E(f326(a112,x105031),x105031)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10508,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x105081),f113(x105081)),x105082))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10511,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x105111),f113(x105111)),x105112))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10514,plain,
% 225.14/225.18 (~E(f326(a112,x105141),x105141)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10517,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x105171),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(10520,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x105201),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(10537,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x105371)),x105371))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(10540,plain,
% 225.14/225.18 (~E(f326(f326(f151(x105401),x105402),x105403),x105403)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(10546,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x105461),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(10549,plain,
% 225.14/225.18 (E(f326(f283(x105491,x105491),f262(x105491,x105492)),x105492)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(10552,plain,
% 225.14/225.18 (E(f326(f283(x105521,x105521),f262(x105521,x105522)),x105522)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(10557,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x105571),x105571))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(10562,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x105621),x105622)),x105622))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(10565,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x105651),x105652)),x105652))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(10572,plain,
% 225.14/225.18 (~E(x105721,f326(a112,x105721))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,3307,3473,10549,3349,3410,3345,3372,3356,4688,3580,3496,4724,10517,10520,4721,4683,4729,10508,4720,4730,4332,4727,3489,4713,4746,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363])).
% 225.14/225.18 cnf(10586,plain,
% 225.14/225.18 (~E(f326(a112,x105861),x105861)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10589,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x105891),x105891))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(10592,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f44(a917,x105921,x105922)),x105921))),
% 225.14/225.18 inference(rename_variables,[],[3968])).
% 225.14/225.18 cnf(10613,plain,
% 225.14/225.18 (E(f326(f34(a917),f326(f281(a917),x106131)),x106131)),
% 225.14/225.18 inference(rename_variables,[],[3407])).
% 225.14/225.18 cnf(10621,plain,
% 225.14/225.18 (~E(f326(a112,x106211),x106211)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10624,plain,
% 225.14/225.18 (~E(f326(a112,x106241),x106241)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10627,plain,
% 225.14/225.18 (~E(f326(a112,x106271),x106271)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10632,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x106321),f326(a112,x106321)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10634,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x106341),f326(a112,x106341)))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,3307,3473,10549,3349,3410,3345,3372,3356,3443,4688,3407,4749,3428,3580,3496,4724,10517,10520,4099,3515,4721,4683,4729,10508,4720,10557,10589,3605,4031,3968,4730,10537,4332,4727,4712,3489,4713,4746,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520])).
% 225.14/225.18 cnf(10641,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x106411),x106411))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(10648,plain,
% 225.14/225.18 (E(f326(f283(x106481,x106481),f262(x106481,x106482)),x106482)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(10651,plain,
% 225.14/225.18 (E(f326(f283(x106511,x106511),f262(x106511,x106512)),x106512)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(10668,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x106681),x106681))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(10673,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x106731),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(10676,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x106761,a913)),x106762),f241(f925(x106761,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(10680,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),f2(a1)),f878(f326(f172(x106801),f113(x106801)))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3443,4688,3407,4291,4749,3428,3580,10632,3496,4724,10517,10520,10546,3950,4099,3541,3515,4721,4683,4729,10508,10511,4241,3893,3512,3513,4720,10557,10589,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,4713,4746,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612])).
% 225.14/225.18 cnf(10681,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x106811),f113(x106811)),x106812))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10687,plain,
% 225.14/225.18 (E(f326(f326(f79(a917),x106871),f673(x106871,x106871)),x106871)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3443,4688,3407,4291,4749,3428,3580,10632,3496,4724,10517,10520,10546,3950,4099,3541,3515,4721,4683,4729,10508,10511,4241,3893,3512,10641,3513,4720,10557,10589,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,4713,4746,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653])).
% 225.14/225.18 cnf(10710,plain,
% 225.14/225.18 (~E(f326(f326(f151(x107101),x107102),x107103),x107103)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(10713,plain,
% 225.14/225.18 (~E(f326(a112,x107131),f2(a917))),
% 225.14/225.18 inference(rename_variables,[],[4679])).
% 225.14/225.18 cnf(10724,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x107241),x107241))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(10729,plain,
% 225.14/225.18 (~E(f326(a112,x107291),x107291)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10732,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x107321,f925(x107322,a913))),x107323),x107324))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(10739,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x107391),x107391))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(10743,plain,
% 225.14/225.18 (~E(f326(f168(x107431),f326(f326(f151(x107431),x107432),x107433)),f113(x107431))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,4679,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3443,4688,10540,3407,4291,4749,3428,3875,3580,10632,3496,4724,10517,10520,10546,10673,3950,4099,3539,3541,3515,4721,4683,4729,10508,10511,4241,3893,3512,10641,3513,10668,4720,10557,10589,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,3493,4713,4746,4747,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853])).
% 225.14/225.18 cnf(10752,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x107521),f326(a112,x107521)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10773,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x107731,a913)),x107732),f241(f925(x107731,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(10776,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x107761),f113(x107761)),x107762))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10795,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x107951),f113(x107951)),x107952))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10802,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x108021),f113(x108021)),x108022))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10813,plain,
% 225.14/225.18 (~E(f326(a112,x108131),f2(a917))),
% 225.14/225.18 inference(rename_variables,[],[4679])).
% 225.14/225.18 cnf(10818,plain,
% 225.14/225.18 (P105(f326(f326(f328(x108181),x108182),f241(f925(x108181,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(10822,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),f2(a917)),f326(a105,f77(a1))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,4679,10713,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,4291,4749,3428,3875,3580,10632,10752,3496,4724,10517,10520,10546,10673,4737,3950,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,4241,3893,10676,3512,10641,10739,3513,10668,4720,10557,10589,3666,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,3493,4714,4713,4746,4747,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099])).
% 225.14/225.18 cnf(10825,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x108251),f113(x108251)),x108252))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10830,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x108301),f326(a112,x108301)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10833,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x108331),f113(x108331)),x108332))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10836,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x108361),f113(x108361)),x108362))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10839,plain,
% 225.14/225.18 (~P105(f326(f61(x108391,x108392,f188(f925(x108391,a913))),x108393))),
% 225.14/225.18 inference(rename_variables,[],[4743])).
% 225.14/225.18 cnf(10842,plain,
% 225.14/225.18 (~P105(f326(f61(x108421,x108422,f188(f925(x108421,a913))),x108423))),
% 225.14/225.18 inference(rename_variables,[],[4743])).
% 225.14/225.18 cnf(10844,plain,
% 225.14/225.18 (~P33(x108441,f326(f188(f925(x108442,f925(x108443,a913))),x108444),x108445)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,4679,10713,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,4291,4749,3428,3875,3580,10632,10752,3496,4724,10517,10520,10546,10673,4737,3950,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,4241,3893,10676,3512,10641,10739,3513,10668,4720,10557,10589,3666,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,3493,4714,4713,4743,10839,4746,4747,10732,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128])).
% 225.14/225.18 cnf(10845,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x108451,f925(x108452,a913))),x108453),x108454))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(10848,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x108481),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(10853,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x108531),f113(x108531)),x108532))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(10863,plain,
% 225.14/225.18 (~E(f326(f168(x108631),f326(a112,f326(f326(f134(x108631),f326(f168(x108631),x108632)),f326(f326(f151(x108631),x108633),f113(x108631))))),f326(f326(f151(x108631),x108633),x108632))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,4291,4749,3428,3875,3580,10632,10752,10830,3496,4724,10517,10520,10546,10673,4737,3950,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,4241,3893,10676,3512,10641,10739,3513,10668,4720,10557,10589,3666,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,3493,4714,4713,4743,10839,4746,4747,10732,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214])).
% 225.14/225.18 cnf(10864,plain,
% 225.14/225.18 (~E(f326(a112,x108641),x108641)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(10882,plain,
% 225.14/225.18 (P105(f326(f326(f235(a99),f326(a5,x108821)),f326(a5,f326(a112,x108821))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,4291,4749,3428,3875,3580,10632,10752,10830,3963,3496,4724,10517,10520,10546,10673,4737,3950,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,4241,3893,10676,3512,10641,10739,3513,10668,4720,10557,10589,3666,3605,4031,3968,10592,4730,10537,4332,4727,4712,3489,3493,4714,4713,4743,10839,4746,4747,10732,3992,4744,10562,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296])).
% 225.14/225.18 cnf(10889,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x108891),x108891))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(10892,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x108921),f326(f326(f80(a917),x108921),x108921)))),
% 225.14/225.18 inference(rename_variables,[],[3774])).
% 225.14/225.18 cnf(10895,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x108951),f326(f326(f80(a917),x108951),x108951)))),
% 225.14/225.18 inference(rename_variables,[],[3774])).
% 225.14/225.18 cnf(10898,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x108981),f326(a112,f326(f326(f79(a917),x108982),x108981))))),
% 225.14/225.18 inference(rename_variables,[],[3961])).
% 225.14/225.18 cnf(10903,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x109031),f326(a112,x109031)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10906,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x109061),f326(a112,x109061)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10909,plain,
% 225.14/225.18 (P105(f326(f326(f328(x109091),x109092),f241(f925(x109091,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(10928,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x109281)),x109281))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(10931,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x109311)),x109311))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(10934,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x109341),x109342)),x109342))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(10937,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x109371),x109372)),x109372))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(10940,plain,
% 225.14/225.18 (P105(f326(f241(f925(x109401,a913)),x109402))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(10943,plain,
% 225.14/225.18 (E(f326(f34(a917),f326(f281(a917),x109431)),x109431)),
% 225.14/225.18 inference(rename_variables,[],[3407])).
% 225.14/225.18 cnf(10946,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x109461),f326(a112,x109461)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(10953,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x109531),x109531))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(10958,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x109581),x109581))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(10967,plain,
% 225.14/225.18 (E(f326(f283(x109671,x109671),f262(x109671,x109672)),x109672)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(10970,plain,
% 225.14/225.18 (P105(f326(f241(f925(x109701,a913)),x109702))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(10972,plain,
% 225.14/225.18 (P31(x109721,f326(f234(a917),f2(a917)),x109722)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,10651,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,10613,4291,4749,3428,3875,3811,3580,10632,10752,10830,10903,10906,3963,3496,4724,10517,10520,10546,10673,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,4241,3893,10676,3512,10641,10739,10889,3513,10668,10724,4720,10557,10589,3666,10818,3573,10940,3605,4031,3968,10592,4730,10537,10928,3533,4332,4727,4712,3489,3493,4714,4713,4743,10839,4748,3774,10892,4746,4747,10732,3992,4744,10562,10565,10934,3961,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524])).
% 225.14/225.18 cnf(10973,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x109731))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(10975,plain,
% 225.14/225.18 (P31(x109751,f326(f234(f925(x109752,a913)),f188(f925(x109752,a913))),x109753)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,10651,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,10613,4291,4749,3428,3875,3811,3580,10632,10752,10830,10903,10906,3963,3496,4724,10517,10520,10546,10673,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,4241,3893,10676,3512,10641,10739,10889,3513,10668,10724,4720,10557,10589,3666,10818,3573,10940,3605,4031,3968,10592,4730,10537,10928,3533,4332,4727,4712,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,4746,4747,10732,3992,4744,10562,10565,10934,3961,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525])).
% 225.14/225.18 cnf(10976,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x109761,a913)),f188(f925(x109761,a913))),x109762))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(10979,plain,
% 225.14/225.18 (P105(f326(f241(f925(x109791,a913)),x109792))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(10982,plain,
% 225.14/225.18 (P105(f326(f241(f925(x109821,a913)),x109822))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(10985,plain,
% 225.14/225.18 (P105(f326(f241(f925(x109851,a913)),x109852))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(10987,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(f326(f80(a917),f326(a112,x109871)),f326(a112,x109871))),x109871))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,10651,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,10613,4291,4749,3428,3875,3811,3580,10632,10752,10830,10903,10906,3963,3496,4724,10517,10520,10546,10673,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,4241,3893,10676,3512,10641,10739,10889,3513,10668,10724,4720,10557,10589,3666,10818,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,3533,4332,4727,4712,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,4746,4747,10732,3992,4744,10562,10565,10934,3961,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536])).
% 225.14/225.18 cnf(10988,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x109881),f326(f326(f80(a917),x109881),x109881)))),
% 225.14/225.18 inference(rename_variables,[],[3774])).
% 225.14/225.18 cnf(11028,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x110281),x110281))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11039,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x110391),f113(x110391)),x110392))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(11046,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x110461),f326(a112,x110461)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(11048,plain,
% 225.14/225.18 (P105(f326(f326(f235(a1),f326(f326(f3(a1),x110481),f77(a1))),x110481))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3443,4688,10540,3407,10613,4291,4151,4749,3428,3875,3811,3580,10632,10752,10830,10903,10906,10946,3963,3496,4724,10517,10520,10546,10673,10848,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4241,3893,10676,3512,10641,10739,10889,10953,11028,3513,10668,10724,10958,4720,10557,10589,3666,10818,4733,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,4332,4727,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,4746,4747,10732,3992,4744,10562,10565,10934,3961,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843])).
% 225.14/225.18 cnf(11049,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x110491),x110491))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(11054,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x110541),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11069,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x110691),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11072,plain,
% 225.14/225.18 (~P105(f326(f326(f235(f925(x110721,a913)),x110722),f188(f925(x110721,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4741])).
% 225.14/225.18 cnf(11075,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x110751),x110751))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11078,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x110781),x110781))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11093,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x110931),x110931))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(11102,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x111021),x111022),f188(f925(x111021,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11109,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x111091),x111091))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11112,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x111121,a913)),f326(f309(x111122,x111121,x111123),f326(f310(x111122,x111121,x111123),x111124))),x111124))),
% 225.14/225.18 inference(rename_variables,[],[4389])).
% 225.14/225.18 cnf(11121,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x111211,a913)),f326(f172(x111211),f326(f136(x111211,x111212),x111213))),f326(f172(x111211),x111213)))),
% 225.14/225.18 inference(rename_variables,[],[4160])).
% 225.14/225.18 cnf(11124,plain,
% 225.14/225.18 (E(f326(f309(x111241,x111241,f7(x111241)),x111242),x111242)),
% 225.14/225.18 inference(rename_variables,[],[3569])).
% 225.14/225.18 cnf(11129,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x111291))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(11132,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x111321),x111321))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11135,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x111351),x111351))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(11144,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x111441),x111441))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(11155,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x111551),f326(f326(f80(a917),x111551),x111551)))),
% 225.14/225.18 inference(rename_variables,[],[3774])).
% 225.14/225.18 cnf(11161,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x111611),f326(a112,f326(f326(f79(a917),x111612),x111611))))),
% 225.14/225.18 inference(rename_variables,[],[3961])).
% 225.14/225.18 cnf(11168,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x111681),x111681))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11170,plain,
% 225.14/225.18 (P105(f326(f326(f235(a1),x111701),f326(f326(f79(a1),x111701),f77(a1))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,4733,11102,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,4332,4727,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636])).
% 225.14/225.18 cnf(11171,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x111711),x111711))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(11173,plain,
% 225.14/225.18 (~E(f326(f72(x111731,x111732,x111733,a112),x111734),x111734)),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,4733,11102,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,4332,4727,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646])).
% 225.14/225.18 cnf(11174,plain,
% 225.14/225.18 (~E(f326(a112,x111741),x111741)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11179,plain,
% 225.14/225.18 (P105(f326(f326(f328(x111791),x111792),f241(f925(x111791,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11183,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x111831),f326(f326(f3(a917),f2(a917)),x111832)))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,4733,11102,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,4332,4727,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713])).
% 225.14/225.18 cnf(11184,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x111841),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11199,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x111991))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(11206,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x112061),x112061))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11215,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x112151),x112152),f188(f925(x112151,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11217,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x112171,a913)),f37(f925(x112171,a913),f326(f307(x112171),x112172))),x112172))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,3876,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,4733,11102,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991])).
% 225.14/225.18 cnf(11222,plain,
% 225.14/225.18 (P105(f326(f326(f328(f918(x112221)),x112222),f161(x112221,f241(f925(x112221,a913)))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,3876,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,4733,11102,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002])).
% 225.14/225.18 cnf(11223,plain,
% 225.14/225.18 (P105(f326(f326(f328(x112231),x112232),f241(f925(x112231,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11226,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x112261),f918(x112261))),f326(f326(f251(f918(x112261),f918(x112261)),x112262),f113(x112261))),f145(x112261,x112263)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11235,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x112351,x112351)),x112352),f262(x112351,f188(f925(x112351,a913)))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,3876,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,4733,11102,11215,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136])).
% 225.14/225.18 cnf(11236,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x112361),x112362),f188(f925(x112361,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11238,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x112381),x112382),f326(f310(x112381,x112383,x112384),f188(f925(x112383,a913)))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,3876,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,4733,11102,11215,11236,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,3960,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168])).
% 225.14/225.18 cnf(11239,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x112391),x112392),f188(f925(x112391,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11242,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x112421,a913)),x112422),f326(f326(f308(x112421),x112423),x112422)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(11245,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x112451),x112451))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(11248,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x112481,a913)),x112482),f326(f326(f308(x112481),x112483),x112482)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(11251,plain,
% 225.14/225.18 (E(f326(f309(x112511,x112511,f7(x112511)),x112512),x112512)),
% 225.14/225.18 inference(rename_variables,[],[3569])).
% 225.14/225.18 cnf(11253,plain,
% 225.14/225.18 (P34(x112531,x112532,x112533,f114(x112531,f113(x112531)),f113(x112532))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,3307,3359,3473,10549,10552,10648,10651,3450,3349,3410,3345,3372,3356,3983,3569,11124,3443,4688,10540,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,4253,4160,11121,3876,4241,3893,10676,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,4733,11102,11215,11236,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,3958,11242,3960,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274])).
% 225.14/225.18 cnf(11266,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x112661,a913)),x112662),f326(f326(f308(x112661),x112663),x112662)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(11277,plain,
% 225.14/225.18 (~E(f326(a112,x112771),f2(a917))),
% 225.14/225.18 inference(rename_variables,[],[4679])).
% 225.14/225.18 cnf(11280,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x112801),f113(x112801)),x112802))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(11293,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x112931),f326(a112,x112931)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(11303,plain,
% 225.14/225.18 (~E(f326(f309(x113031,f925(x113031,a913),x113032),x113033),f326(f307(x113031),x113033))),
% 225.14/225.18 inference(rename_variables,[],[4731])).
% 225.14/225.18 cnf(11306,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x113061),x113062),f188(f925(x113061,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11309,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x113091),x113092),f188(f925(x113091,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11312,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x113121,x113121)),f326(f326(f251(x113121,x113121),x113122),x113123)),f153(x113121,f113(f925(x113121,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11315,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x113151,x113151)),f326(f326(f251(x113151,x113151),x113152),x113153)),f153(x113151,f113(f925(x113151,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11320,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x113201),x113202),f188(f925(x113201,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11323,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x113231,x113231)),f326(f326(f251(x113231,x113231),x113232),x113232)),f306(x113231,x113233)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(11326,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x113261,a913)),x113262),f241(f925(x113261,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(11329,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x113291,a913)),f326(f172(x113291),f176(x113291,x113292,x113293))),f326(f172(x113291),x113292)))),
% 225.14/225.18 inference(rename_variables,[],[4207])).
% 225.14/225.18 cnf(11331,plain,
% 225.14/225.18 (P105(f326(f60(x113311),f326(f326(f72(x113312,x113313,x113314,f309(a917,x113311,x113315)),f261(a917)),f326(f326(f9(a917,a917,a913),f235(a917)),x113316))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,10813,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,3407,10613,4291,4151,4749,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3960,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735])).
% 225.14/225.18 cnf(11345,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x113451,a913)),f188(f925(x113451,a913))),x113452))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(11353,plain,
% 225.14/225.18 (~P105(f326(f326(f66(f918(x113531),f918(x113531),f145(x113531,x113532)),x113533),f113(x113531)))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,4679,10713,10813,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,3407,10613,4291,4151,11323,4749,11226,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775])).
% 225.14/225.18 cnf(11356,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x113561),f918(x113561))),f326(f326(f251(f918(x113561),f918(x113561)),x113562),f113(x113561))),f147(x113561,x113563)))),
% 225.14/225.18 inference(rename_variables,[],[4750])).
% 225.14/225.18 cnf(11367,plain,
% 225.14/225.18 (~E(f326(a112,x113671),x113671)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11370,plain,
% 225.14/225.18 (~E(f326(a112,x113701),x113701)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11377,plain,
% 225.14/225.18 (~E(f326(a112,x113771),f2(a917))),
% 225.14/225.18 inference(rename_variables,[],[4679])).
% 225.14/225.18 cnf(11379,plain,
% 225.14/225.18 (E(f326(x113791,f326(f90(x113792,x113793,f241(f925(x113792,a913)),x113791),f326(x113791,x113794))),f326(x113791,x113794))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,3407,10613,4291,4151,11323,4749,11226,4750,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834])).
% 225.14/225.18 cnf(11382,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x113821,a913)),x113822),x113822))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(11386,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x113861,a913)),f326(f326(f39(f924(x113862,x113862),f925(x113861,a913)),f306(x113862,x113863)),x113864)),f326(x113864,f326(f326(f251(x113862,x113862),x113865),x113865))))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,3407,10613,4291,4151,11323,4749,11226,4750,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855])).
% 225.14/225.18 cnf(11389,plain,
% 225.14/225.18 (~E(f326(a112,x113891),x113891)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11392,plain,
% 225.14/225.18 (~E(f326(a112,x113921),x113921)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11394,plain,
% 225.14/225.18 (~P26(x113941,f925(x113941,a913),x113942,x113943,f326(f307(x113941),x113943))),
% 225.14/225.18 inference(scs_inference,[],[4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3407,10613,4291,4151,11323,4749,11226,4750,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873])).
% 225.14/225.18 cnf(11397,plain,
% 225.14/225.18 (P25(x113971,x113971,f7(x113971),x113972)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(11402,plain,
% 225.14/225.18 (~E(f326(f309(x114021,f925(x114021,a913),x114022),x114023),f326(f307(x114021),x114023))),
% 225.14/225.18 inference(rename_variables,[],[4731])).
% 225.14/225.18 cnf(11407,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x114071,a913)),x114072),f241(f925(x114071,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(11423,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x114231),x114232),f188(f925(x114231,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11426,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x114261)),x114261))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(11431,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x114311),x114312),f188(f925(x114311,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11441,plain,
% 225.14/225.18 (~P105(f326(f326(f328(a917),f326(a112,f326(f142(a917,a917,f79(a917),f2(a917)),x114411))),f326(f172(a917),x114411)))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,4750,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,4733,11102,11215,11236,11239,11306,11309,11320,11423,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057])).
% 225.14/225.18 cnf(11442,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x114421)),x114421))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(11445,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x114451),x114452),f188(f925(x114451,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11454,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x114541,x114541)),f326(f326(f251(x114541,x114541),x114542),x114542)),f306(x114541,x114543)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(11457,plain,
% 225.14/225.18 (P105(f326(f326(f328(x114571),x114572),f241(f925(x114571,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11460,plain,
% 225.14/225.18 (P105(f326(f326(f328(x114601),x114602),f241(f925(x114601,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11467,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x114671),f918(x114671))),f326(f326(f251(f918(x114671),f918(x114671)),x114672),f113(x114671))),f145(x114671,x114673)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11470,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x114701),f918(x114701))),f326(f326(f251(f918(x114701),f918(x114701)),x114702),f113(x114701))),f147(x114701,x114703)))),
% 225.14/225.18 inference(rename_variables,[],[4750])).
% 225.14/225.18 cnf(11473,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x114731),f918(x114731))),f326(f326(f251(f918(x114731),f918(x114731)),x114732),f113(x114731))),f157(x114731,x114733)))),
% 225.14/225.18 inference(rename_variables,[],[4751])).
% 225.14/225.18 cnf(11475,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x114751),f918(x114751))),f326(f326(f251(f918(x114751),f918(x114751)),f113(x114751)),x114752)),f326(f285(f918(x114751),f918(x114751)),f145(x114751,x114753))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,4741,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271])).
% 225.14/225.18 cnf(11478,plain,
% 225.14/225.18 (~P105(f326(f326(f235(f925(x114781,a913)),x114782),f188(f925(x114781,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4741])).
% 225.14/225.18 cnf(11481,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x114811),x114812),f188(f925(x114811,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11486,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x114861,a913)),x114862),f241(f925(x114861,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(11488,plain,
% 225.14/225.18 (~P57(f918(x114881),f158(x114881,x114882))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393])).
% 225.14/225.18 cnf(11492,plain,
% 225.14/225.18 (~P105(f326(f326(f254(x114921,x114922,a913,f326(f172(x114923),f113(x114923))),x114924),x114925))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,4117,3958,11242,11248,3807,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433])).
% 225.14/225.18 cnf(11493,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x114931),f113(x114931)),x114932))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(11498,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x114981),x114982),f188(f925(x114981,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11501,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x115011,x115011)),f326(f326(f251(x115011,x115011),x115012),x115013)),f153(x115011,f113(f925(x115011,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11503,plain,
% 225.14/225.18 (E(f326(f309(x115031,x115032,x115033),f355(x115034,x115033,x115031,f326(f309(x115031,x115032,x115033),x115034),x115032)),f326(f309(x115031,x115032,x115033),x115034))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454])).
% 225.14/225.18 cnf(11504,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115041,a913)),x115042),x115042))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(11507,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115071),x115072),f188(f925(x115071,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11509,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115091,a913)),f326(f284(x115092,x115091,f188(f925(f924(x115092,x115091),a913))),x115093)),x115094))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500])).
% 225.14/225.18 cnf(11510,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115101,a913)),f188(f925(x115101,a913))),x115102))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(11513,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x115131,x115131)),f326(f326(f251(x115131,x115131),x115132),x115132)),f306(x115131,x115133)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(11515,plain,
% 225.14/225.18 (~P34(x115151,x115152,x115153,f326(f326(f154(x115154,x115151),x115155),f326(a112,f113(x115154))),f113(x115152))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508])).
% 225.14/225.18 cnf(11517,plain,
% 225.14/225.18 (~E(f326(f326(f102(f925(f924(f918(x115171),f918(x115171)),a913)),f326(f285(f918(x115171),f918(x115171)),f158(x115171,x115172))),f306(f918(x115171),f158(x115171,x115172))),f188(f925(f924(f918(x115171),f918(x115171)),a913)))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530])).
% 225.14/225.18 cnf(11519,plain,
% 225.14/225.18 (P34(x115191,x115192,x115193,f326(f326(f154(x115194,x115191),x115195),f114(x115194,f113(x115194))),f113(x115192))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531])).
% 225.14/225.18 cnf(11521,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),x115211),f326(a112,x115211))),f306(a917,a316)))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558])).
% 225.14/225.18 cnf(11523,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x115231),f918(x115231))),f326(f326(f251(f918(x115231),f918(x115231)),x115232),f113(x115231))),f326(f285(f918(x115231),f918(x115231)),f157(x115231,x115233))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,11473,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622])).
% 225.14/225.18 cnf(11524,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x115241),f918(x115241))),f326(f326(f251(f918(x115241),f918(x115241)),x115242),f113(x115241))),f157(x115241,x115243)))),
% 225.14/225.18 inference(rename_variables,[],[4751])).
% 225.14/225.18 cnf(11530,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f918(x115301)),f113(x115301)),f326(f263(f918(x115301),f918(x115301)),f145(x115301,x115302))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,11473,4752,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665])).
% 225.14/225.18 cnf(11531,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x115311),f918(x115311))),f326(f326(f251(f918(x115311),f918(x115311)),f113(x115311)),x115312)),f145(x115311,x115313)))),
% 225.14/225.18 inference(rename_variables,[],[4752])).
% 225.14/225.18 cnf(11536,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f925(x115361,a913),f925(x115361,a913))),f326(f326(f251(f925(x115361,a913),f925(x115361,a913)),x115362),f188(f925(x115361,a913)))),f313(x115361)))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,11473,4752,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667])).
% 225.14/225.18 cnf(11539,plain,
% 225.14/225.18 (P105(f326(f326(f328(x115391),x115392),f241(f925(x115391,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11544,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115441,a913)),f188(f925(x115441,a913))),x115442))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(11547,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115471),x115472),f188(f925(x115471,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11550,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115501,a913)),x115502),f241(f925(x115501,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(11554,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115541,a913)),f326(f284(x115542,x115541,x115543),f188(f925(x115542,a913)))),x115544))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,4751,11473,4752,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,3573,10940,10970,10979,10982,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776])).
% 225.14/225.18 cnf(11555,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x115551,a913)),f188(f925(x115551,a913))),x115552))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(11568,plain,
% 225.14/225.18 (P105(f326(f241(f925(x115681,a913)),x115682))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(11576,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x115761),f918(x115761))),f326(f326(f251(f918(x115761),f918(x115761)),x115762),f113(x115761))),f145(x115761,x115763)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11579,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x115791),f918(x115791))),f326(f326(f251(f918(x115791),f918(x115791)),x115792),f113(x115791))),f147(x115791,x115793)))),
% 225.14/225.18 inference(rename_variables,[],[4750])).
% 225.14/225.18 cnf(11582,plain,
% 225.14/225.18 (~E(f326(f326(f151(x115821),x115822),x115823),x115823)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(11585,plain,
% 225.14/225.18 (~E(f326(a112,x115851),x115851)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11588,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115881),x115882),f188(f925(x115881,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11590,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115901),x115902),f326(f284(x115903,x115901,x115904),f326(f284(x115905,x115903,x115906),f188(f925(x115905,a913))))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,4750,11356,11470,4751,11473,4752,11531,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915])).
% 225.14/225.18 cnf(11593,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115931),x115932),f188(f925(x115931,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11596,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x115961),x115962),f188(f925(x115961,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11599,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(f918(x115991),f918(x115991))),f326(f326(f251(f918(x115991),f918(x115991)),x115992),x115992)),f158(x115991,f306(x115991,x115993))))),
% 225.14/225.18 inference(rename_variables,[],[4284])).
% 225.14/225.18 cnf(11602,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x116021),f918(x116021))),f326(f326(f251(f918(x116021),f918(x116021)),x116022),f113(x116021))),f145(x116021,x116023)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11612,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x116121,x116121)),f326(f326(f251(x116121,x116121),x116122),x116123)),f153(x116121,f113(f925(x116121,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11615,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116151),x116152),f188(f925(x116151,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11618,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116181),x116182),f188(f925(x116181,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11621,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x116211,f925(x116212,a913))),x116213),x116214))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(11624,plain,
% 225.14/225.18 (P105(f326(f326(f328(x116241),x116242),f241(f925(x116241,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11627,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x116271),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11631,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x116311),f918(x116311))),f326(f326(f251(f918(x116311),f918(x116311)),x116312),x116313)),f157(x116311,f153(x116311,f113(f925(x116311,a917))))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,11576,4750,11356,11470,4751,11473,4752,11531,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4284,11599,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,11501,11612,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108])).
% 225.14/225.18 cnf(11632,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x116321,x116321)),f326(f326(f251(x116321,x116321),x116322),x116323)),f153(x116321,f113(f925(x116321,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11640,plain,
% 225.14/225.18 (~E(f326(f257(x116401,x116402,x116403,x116403,f309(x116404,f925(x116404,a913),x116405),f31(x116403)),x116406),f326(f257(x116401,x116402,x116403,x116403,f307(x116404),f31(x116403)),x116406))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,3617,3407,10613,4291,4151,11323,11454,4749,11226,11467,11576,4750,11356,11470,4751,11473,4752,11531,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4284,11599,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,11501,11612,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158])).
% 225.14/225.18 cnf(11641,plain,
% 225.14/225.18 (~E(f326(f309(x116411,f925(x116411,a913),x116412),x116413),f326(f307(x116411),x116413))),
% 225.14/225.18 inference(rename_variables,[],[4731])).
% 225.14/225.18 cnf(11644,plain,
% 225.14/225.18 (~E(f326(f309(x116441,f925(x116441,a913),x116442),x116443),f326(f307(x116441),x116443))),
% 225.14/225.18 inference(rename_variables,[],[4731])).
% 225.14/225.18 cnf(11649,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x116491),f918(x116491))),f326(f326(f251(f918(x116491),f918(x116491)),x116492),f113(x116491))),f145(x116491,x116493)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11655,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x116551),f918(x116551))),f326(f326(f251(f918(x116551),f918(x116551)),x116552),f113(x116551))),f145(x116551,x116553)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(11658,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116581),x116582),f188(f925(x116581,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11662,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x116621,x116622)),x116623),f326(f326(f288(x116621,x116624,x116622),f188(f925(f924(x116621,x116624),a913))),x116625)))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,3617,3407,10613,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4284,11599,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,11501,11612,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381])).
% 225.14/225.18 cnf(11663,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116631),x116632),f188(f925(x116631,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11666,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116661),x116662),f188(f925(x116661,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11669,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116691),x116692),f188(f925(x116691,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11672,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x116721),x116722),f188(f925(x116721,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11675,plain,
% 225.14/225.18 (P105(f326(f326(f328(x116751),f326(x116752,x116753)),f326(f309(x116754,x116751,x116752),f241(f925(x116754,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(11677,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x116771,x116772)),x116773),f326(f309(f924(x116774,x116774),f924(x116771,x116772),f257(x116774,x116771,x116774,x116772,x116775,x116776)),f153(x116774,f113(f925(x116774,a917))))))),
% 225.14/225.18 inference(scs_inference,[],[3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,4679,10713,10813,11277,3307,3359,3473,10549,10552,10648,10651,3450,3970,3349,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,3617,3407,10613,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,4724,10517,10520,10546,10673,10848,11054,11069,11184,4737,3950,3719,4099,3539,3541,3515,4721,4683,4284,11599,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4743,10839,4748,11312,11315,11501,11612,11632,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464])).
% 225.14/225.18 cnf(11678,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x116781,x116781)),f326(f326(f251(x116781,x116781),x116782),x116783)),f153(x116781,f113(f925(x116781,a917)))))),
% 225.14/225.18 inference(rename_variables,[],[4748])).
% 225.14/225.18 cnf(11686,plain,
% 225.14/225.18 (E(f114(x116861,f113(x116861)),f113(x116861))),
% 225.14/225.18 inference(rename_variables,[],[3359])).
% 225.14/225.18 cnf(11689,plain,
% 225.14/225.18 (~E(f326(a112,x116891),x116891)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11696,plain,
% 225.14/225.18 (~E(f326(a112,x116961),x116961)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11699,plain,
% 225.14/225.18 (E(f326(f283(x116991,x116991),f262(x116991,x116992)),x116992)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11702,plain,
% 225.14/225.18 (E(f326(f283(x117021,x117021),f262(x117021,x117022)),x117022)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11708,plain,
% 225.14/225.18 (~E(f326(a112,x117081),x117081)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11713,plain,
% 225.14/225.18 (~E(f326(f326(f79(a1),x117131),x117131),a97)),
% 225.14/225.18 inference(rename_variables,[],[4686])).
% 225.14/225.18 cnf(11720,plain,
% 225.14/225.18 (E(f326(f326(f3(a917),f2(a917)),x117201),f2(a917))),
% 225.14/225.18 inference(rename_variables,[],[3429])).
% 225.14/225.18 cnf(11723,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x117231),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11730,plain,
% 225.14/225.18 (E(f326(f326(f79(a1),f326(f326(f80(a1),x117301),f326(f326(f35(a1),x117302),x117301))),f44(a1,x117302,x117301)),x117302)),
% 225.14/225.18 inference(rename_variables,[],[4064])).
% 225.14/225.18 cnf(11754,plain,
% 225.14/225.18 (~E(f326(a112,x117541),x117541)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11757,plain,
% 225.14/225.18 (~E(f326(a112,x117571),x117571)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11783,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x117831),f113(x117831)),x117832))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(11789,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),f2(a917)),f326(a112,x117891)))),
% 225.14/225.18 inference(rename_variables,[],[3592])).
% 225.14/225.18 cnf(11790,plain,
% 225.14/225.18 (~E(f326(a112,x117901),x117901)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11793,plain,
% 225.14/225.18 (P105(f326(f326(f328(x117931),x117932),f241(f925(x117931,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(11805,plain,
% 225.14/225.18 (~E(f326(a112,x118051),x118051)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11808,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x118081),x118081))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(11815,plain,
% 225.14/225.18 (P105(f326(f65(x118151,x118152,x118153,x118154,f188(f925(x118151,a913))),x118154))),
% 225.14/225.18 inference(rename_variables,[],[4428])).
% 225.14/225.18 cnf(11816,plain,
% 225.14/225.18 (E(f326(f283(x118161,x118161),f262(x118161,x118162)),x118162)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11829,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x118291),x118292)),x118292))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(11832,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x118321)),f2(a1)))),
% 225.14/225.18 inference(rename_variables,[],[4737])).
% 225.14/225.18 cnf(11844,plain,
% 225.14/225.18 (~E(f326(f326(f151(x118441),x118442),f326(f326(f134(x118441),f114(x118441,f113(x118441))),x118443)),x118443)),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,3433,4679,10713,10813,11277,3122,3128,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3256,3273,3291,3307,4667,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,3450,3970,3349,4064,11730,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,3592,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,4737,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,11171,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,11624,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,11442,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,10937,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550])).
% 225.14/225.18 cnf(11852,plain,
% 225.14/225.18 (~E(f326(f326(f102(a917),f326(a112,x118521)),x118521),f326(a112,x118521))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,3433,4679,10713,10813,11277,3122,3128,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3256,3270,3273,3276,3291,3307,4667,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,3450,3970,3349,4064,11730,3410,3345,3372,3356,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,3592,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,4737,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,11171,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,11624,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,3573,10940,10970,10979,10982,10985,3605,4031,3968,10592,4730,10537,10928,10931,11426,11442,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,10937,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558])).
% 225.14/225.18 cnf(11855,plain,
% 225.14/225.18 (E(f326(f283(x118551,x118551),f262(x118551,x118552)),x118552)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11860,plain,
% 225.14/225.18 (E(f326(f283(x118601,x118601),f262(x118601,x118602)),x118602)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11863,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x118631)),f2(a1)))),
% 225.14/225.18 inference(rename_variables,[],[4737])).
% 225.14/225.18 cnf(11868,plain,
% 225.14/225.18 (~E(f326(a112,x118681),x118681)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11877,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x118771),f113(x118771)),x118772))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(11898,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x118981)),f2(a1)))),
% 225.14/225.18 inference(rename_variables,[],[4737])).
% 225.14/225.18 cnf(11901,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x119011),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(11902,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x119021),f326(a112,x119021)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(11905,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x119051)),f2(a1)))),
% 225.14/225.18 inference(rename_variables,[],[4737])).
% 225.14/225.18 cnf(11907,plain,
% 225.14/225.18 (~P15(x119071,f328(f925(x119072,a913)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,3433,4679,10713,10813,11277,3122,3128,3129,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3256,3270,3271,3273,3276,3277,3291,3307,4667,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,3450,3970,3349,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,3963,3496,3592,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,4737,11832,11863,11898,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,11171,3514,4720,10557,10589,11093,11135,3666,10818,10909,11179,11223,11457,11460,11539,11624,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,4730,10537,10928,10931,11426,11442,3533,10973,11129,4332,4727,4039,4712,4715,3489,3493,4714,4713,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,10937,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716])).
% 225.14/225.18 cnf(11908,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x119081),x119082),f188(f925(x119081,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(11909,plain,
% 225.14/225.18 (P105(f326(f326(f328(f925(x119091,a913)),x119092),f326(f307(x119091),x119092)))),
% 225.14/225.18 inference(rename_variables,[],[3876])).
% 225.14/225.18 cnf(11924,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x119241)),x119241))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(11925,plain,
% 225.14/225.18 (~E(f326(a112,x119251),x119251)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11928,plain,
% 225.14/225.18 (E(f326(f283(x119281,x119281),f262(x119281,x119282)),x119282)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11938,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x119381),x119382)),x119381))),
% 225.14/225.18 inference(rename_variables,[],[4745])).
% 225.14/225.18 cnf(11941,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x119411)),f2(a1)))),
% 225.14/225.18 inference(rename_variables,[],[4737])).
% 225.14/225.18 cnf(11944,plain,
% 225.14/225.18 (~E(f326(a112,x119441),x119441)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(11957,plain,
% 225.14/225.18 (P105(f326(f326(f328(x119571),x119572),f326(f326(f308(x119571),x119572),x119573)))),
% 225.14/225.18 inference(rename_variables,[],[3823])).
% 225.14/225.18 cnf(11958,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x119581)))))),
% 225.14/225.18 inference(rename_variables,[],[4746])).
% 225.14/225.18 cnf(11961,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),f326(f326(f3(a917),x119611),x119612)),f326(a112,x119611)))),
% 225.14/225.18 inference(rename_variables,[],[3963])).
% 225.14/225.18 cnf(11964,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f44(a917,x119641,x119642)),x119641))),
% 225.14/225.18 inference(rename_variables,[],[3968])).
% 225.14/225.18 cnf(11970,plain,
% 225.14/225.18 (E(f326(f283(x119701,x119701),f262(x119701,x119702)),x119702)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(11975,plain,
% 225.14/225.18 (E(f326(f326(f134(x119751),f169(x119751,x119752,x119753)),f169(x119751,x119754,x119753)),f326(f326(f134(x119751),f169(x119751,x119754,x119753)),f169(x119751,x119752,x119753)))),
% 225.14/225.18 inference(rename_variables,[],[4078])).
% 225.14/225.18 cnf(11980,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x119801)),x119801))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(11989,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x119891),x119891))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(11992,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f44(a917,x119921,x119922)),x119921))),
% 225.14/225.18 inference(rename_variables,[],[3968])).
% 225.14/225.18 cnf(11993,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x119931))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(11995,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a1),f77(a1)),f2(a1)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3128,3129,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3248,3256,3270,3271,3273,3276,3277,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,3496,3592,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,4737,11832,11863,11898,11905,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,3513,10668,10724,10958,11049,11171,3514,4720,10557,10589,11093,11135,11144,3666,10818,10909,11179,11223,11457,11460,11539,11624,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,4730,10537,10928,10931,11426,11442,11924,3533,10973,11129,11199,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,10937,4745,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001])).
% 225.14/225.18 cnf(12010,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x120101),x120101))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12013,plain,
% 225.14/225.18 (P105(f326(f326(f328(x120131),f326(x120132,x120133)),f326(f309(x120134,x120131,x120132),f241(f925(x120134,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(12014,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x120141)),x120141))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12017,plain,
% 225.14/225.18 (P105(f326(f326(f328(x120171),f326(x120172,x120173)),f326(f309(x120174,x120171,x120172),f241(f925(x120174,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(12018,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x120181),x120182)),x120182))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(12023,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x120231),x120232)),x120231))),
% 225.14/225.18 inference(rename_variables,[],[4745])).
% 225.14/225.18 cnf(12026,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x120261),f113(x120261)),x120262))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(12029,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x120291),x120291))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12031,plain,
% 225.14/225.18 (E(f326(f326(f80(a917),x120311),f326(f326(f35(a917),x120311),x120311)),x120311)),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3128,3129,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,11961,3496,3592,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,4737,11832,11863,11898,11905,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,3513,10668,10724,10958,11049,11171,3514,4720,10557,10589,11093,11135,11144,11989,3666,10818,10909,11179,11223,11457,11460,11539,11624,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,4730,10537,10928,10931,11426,11442,11924,11980,3533,10973,11129,11199,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132])).
% 225.14/225.18 cnf(12037,plain,
% 225.14/225.18 (~P35(x120371,x120372,f113(x120371))),
% 225.14/225.18 inference(rename_variables,[],[4699])).
% 225.14/225.18 cnf(12040,plain,
% 225.14/225.18 (P105(f326(f326(f328(x120401),x120402),f241(f925(x120401,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(12041,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x120411)),x120411))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12054,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x120541),x120542),f188(f925(x120541,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12057,plain,
% 225.14/225.18 (E(f326(f326(f18(x120571,x120572),x120573),x120574),x120573)),
% 225.14/225.18 inference(rename_variables,[],[3503])).
% 225.14/225.18 cnf(12060,plain,
% 225.14/225.18 (E(f326(f326(f18(x120601,x120602),x120603),x120604),x120603)),
% 225.14/225.18 inference(rename_variables,[],[3503])).
% 225.14/225.18 cnf(12072,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),f2(a917)),f326(a112,x120721)))),
% 225.14/225.18 inference(rename_variables,[],[3592])).
% 225.14/225.18 cnf(12075,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x120751),x120751))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12078,plain,
% 225.14/225.18 (P105(f326(f60(x120781),f326(f172(x120781),x120782)))),
% 225.14/225.18 inference(rename_variables,[],[3552])).
% 225.14/225.18 cnf(12081,plain,
% 225.14/225.18 (P105(f326(f60(x120811),f326(f172(x120811),x120812)))),
% 225.14/225.18 inference(rename_variables,[],[3552])).
% 225.14/225.18 cnf(12084,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x120841))),f326(f100(a1),x120842)))),
% 225.14/225.18 inference(rename_variables,[],[3993])).
% 225.14/225.18 cnf(12087,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x120871),x120872),f188(f925(x120871,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12101,plain,
% 225.14/225.18 (~P105(f326(f326(f328(a917),f2(a917)),f326(f303(a917),x121011)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,4737,11832,11863,11898,11905,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,3513,10668,10724,10958,11049,11171,3514,3588,4720,10557,10589,11093,11135,11144,11989,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,3533,10973,11129,11199,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356])).
% 225.14/225.18 cnf(12105,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),f44(a917,x121051,f188(a917))),x121051))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3147,3150,3156,3171,3182,3192,3193,3236,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,4737,11832,11863,11898,11905,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,3513,10668,10724,10958,11049,11171,11808,3514,3588,4720,10557,10589,11093,11135,11144,11989,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,3533,10973,11129,11199,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388])).
% 225.14/225.18 cnf(12106,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x121061),x121061))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12109,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x121091),f326(a112,x121091)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12112,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x121121),x121121))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12123,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x121231),x121231))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12126,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121261),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12131,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121311),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12140,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x121401))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(12141,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x121411)),x121411))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12144,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x121441),f113(x121441)),x121442))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(12147,plain,
% 225.14/225.18 (~P105(f326(f326(f172(x121471),f113(x121471)),x121472))),
% 225.14/225.18 inference(rename_variables,[],[4729])).
% 225.14/225.18 cnf(12159,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),f326(a112,x121591))),f326(f78(a1),f2(a1))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,3513,10668,10724,10958,11049,11171,11808,12106,12112,3514,3588,4720,10557,10589,11093,11135,11144,11989,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645])).
% 225.14/225.18 cnf(12163,plain,
% 225.14/225.18 (P105(f326(f326(f235(a1),f326(f78(a1),f77(a1))),f2(a1)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,3513,10668,10724,10958,11049,11171,11808,12106,12112,3514,3588,4720,10557,10589,11093,11135,11144,11989,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661])).
% 225.14/225.18 cnf(12166,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x121661)),x121661))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12169,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x121691)),x121691))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12172,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x121721)),x121721))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12175,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x121751)),x121751))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12178,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121781),x121781))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12181,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121811),x121811))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12184,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121841),x121841))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12187,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x121871),x121871))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12203,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f326(f326(f3(a917),x122031),f326(a112,x122031))),f2(a917)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,3513,10668,10724,10958,11049,11171,11808,12106,12112,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739])).
% 225.14/225.18 cnf(12204,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122041),x122041))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12207,plain,
% 225.14/225.18 (P25(a917,a917,a112,x122071)),
% 225.14/225.18 inference(rename_variables,[],[3718])).
% 225.14/225.18 cnf(12209,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122091),f326(f75(a1),x122091)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760])).
% 225.14/225.18 cnf(12210,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122101),x122101))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12221,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122211),x122211))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12223,plain,
% 225.14/225.18 (P105(f326(f306(f918(x122231),f157(x122231,x122232)),f326(f326(f251(f918(x122231),f918(x122231)),f113(x122231)),f113(x122231))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806])).
% 225.14/225.18 cnf(12224,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(f924(f918(x122241),f918(x122241)),a913)),f158(x122241,x122242)),f306(f918(x122241),f157(x122241,x122242))))),
% 225.14/225.18 inference(rename_variables,[],[4212])).
% 225.14/225.18 cnf(12231,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x122311),f326(a112,x122311)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12234,plain,
% 225.14/225.18 (P105(f326(f326(f328(f925(x122341,a913)),x122342),f326(f307(x122341),x122342)))),
% 225.14/225.18 inference(rename_variables,[],[3876])).
% 225.14/225.18 cnf(12235,plain,
% 225.14/225.18 (~E(f326(a112,x122351),x122351)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12240,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122401),x122401))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12244,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),f326(a105,f2(a1))),f326(a105,f77(a1))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864])).
% 225.14/225.18 cnf(12245,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122451),x122451))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12252,plain,
% 225.14/225.18 (P105(f326(f60(a917),f304(a917,x122521,x122522)))),
% 225.14/225.18 inference(rename_variables,[],[3721])).
% 225.14/225.18 cnf(12259,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x122591,a913)),x122592),f326(f326(f308(x122591),x122593),x122592)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(12262,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122621),x122621))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12263,plain,
% 225.14/225.18 (~E(f326(a112,x122631),x122631)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12276,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x122761),x122761))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12277,plain,
% 225.14/225.18 (~E(f326(a112,x122771),x122771)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12279,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f326(f326(f238(a917),x122791),x122792)),x122792))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3970,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996])).
% 225.14/225.18 cnf(12280,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122801),x122801))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12283,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122831),x122831))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12286,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122861),x122861))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12289,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x122891),x122891))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12292,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x122921),x122921))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12295,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x122951),x122951))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12298,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x122981),x122981))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12299,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x122991),f326(a112,x122991)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12306,plain,
% 225.14/225.18 (~E(f326(a112,x123061),x123061)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12311,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123111),x123111))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12312,plain,
% 225.14/225.18 (~E(f326(a112,x123121),x123121)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12315,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x123151),x123151))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12317,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a105,f77(a1))),f326(a105,f2(a1))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,3993,4332,4727,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074])).
% 225.14/225.18 cnf(12332,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),x123321),x123321))),
% 225.14/225.18 inference(rename_variables,[],[3513])).
% 225.14/225.18 cnf(12337,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x123371))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(12353,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123531),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12356,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123561),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12359,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x123591),x123592),f188(f925(x123591,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12362,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x123621),x123622),f188(f925(x123621,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12365,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123651),x123651))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12367,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123671),f326(f326(f238(a917),x123671),x123672)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,12140,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244])).
% 225.14/225.18 cnf(12368,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123681),x123681))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12370,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123701),f326(f326(f102(a917),x123702),x123701)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,3718,3433,4679,10713,10813,11277,3121,3122,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,3963,11961,3496,3592,11789,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,4241,3893,10676,10773,11326,11407,11486,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,12140,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245])).
% 225.14/225.18 cnf(12371,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123711),x123711))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12374,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x123741),x123741))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12377,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x123771),f326(a112,x123771)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12384,plain,
% 225.14/225.18 (P105(f326(f326(f328(f925(x123841,a913)),x123842),f326(f307(x123841),x123842)))),
% 225.14/225.18 inference(rename_variables,[],[3876])).
% 225.14/225.18 cnf(12389,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x123891,a913)),x123892),f326(f326(f308(x123891),x123893),x123892)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(12396,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x123961),x123962),f188(f925(x123961,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12405,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x124051,a913)),x124052),f241(f925(x124051,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12406,plain,
% 225.14/225.18 (~E(f326(a112,x124061),x124061)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12409,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x124091,a913)),f326(f172(x124091),f326(f136(x124091,x124092),x124093))),f326(f172(x124091),x124093)))),
% 225.14/225.18 inference(rename_variables,[],[4160])).
% 225.14/225.18 cnf(12415,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x124151),f326(a112,x124151)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12423,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(x124231,x124231)),x124232),f153(x124231,f113(f925(x124231,a917)))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,3876,11909,12234,4241,3893,10676,10773,11326,11407,11486,11550,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,3588,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,12140,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468])).
% 225.14/225.18 cnf(12424,plain,
% 225.14/225.18 (E(f326(f283(x124241,x124241),f262(x124241,x124242)),x124242)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12435,plain,
% 225.14/225.18 (~P105(f326(f326(f234(a917),f326(a112,x124351)),x124351))),
% 225.14/225.18 inference(rename_variables,[],[4730])).
% 225.14/225.18 cnf(12436,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x124361),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12441,plain,
% 225.14/225.18 (P105(f326(f60(x124411),f188(f925(x124411,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3588])).
% 225.14/225.18 cnf(12442,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x124421),x124422),f188(f925(x124421,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12449,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x124491,a913)),f326(f172(x124491),f176(x124491,x124492,x124493))),f326(f172(x124491),x124492)))),
% 225.14/225.18 inference(rename_variables,[],[4207])).
% 225.14/225.18 cnf(12452,plain,
% 225.14/225.18 (P25(x124521,x124521,f7(x124521),x124522)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12457,plain,
% 225.14/225.18 (P105(f326(f326(f328(f925(x124571,a913)),x124572),f326(f307(x124571),x124572)))),
% 225.14/225.18 inference(rename_variables,[],[3876])).
% 225.14/225.18 cnf(12464,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x124641),x124641))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12467,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x124671),x124672),f188(f925(x124671,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12470,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x124701,a913)),x124702),f326(f326(f308(x124701),x124703),x124702)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(12471,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x124711,a913)),x124712),f241(f925(x124711,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12478,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x124781),x124781))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12481,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x124811),x124811))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12484,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x124841),x124841))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12487,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x124871),x124871))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12490,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x124901),f326(a112,x124901)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12493,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x124931),f326(a112,x124931)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12495,plain,
% 225.14/225.18 (P105(f326(f326(f286(a917),x124951),f326(f326(f80(a917),x124952),x124951)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3132,3133,3141,3147,3150,3156,3171,3179,3182,3189,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,11329,3876,11909,12234,12384,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,12140,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804])).
% 225.14/225.18 cnf(12496,plain,
% 225.14/225.18 (P105(f326(f326(f286(a917),x124961),x124961))),
% 225.14/225.18 inference(rename_variables,[],[3514])).
% 225.14/225.18 cnf(12499,plain,
% 225.14/225.18 (P105(f326(f326(f286(a917),x124991),x124991))),
% 225.14/225.18 inference(rename_variables,[],[3514])).
% 225.14/225.18 cnf(12501,plain,
% 225.14/225.18 (P105(f326(f326(f234(a913),x125011),x125011))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,4698,4699,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3147,3150,3156,3171,3179,3182,3189,3192,3193,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3569,11124,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,4160,11121,4207,11329,3876,11909,12234,12384,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,3533,10973,11129,11199,11993,12140,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,11504,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,4389,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830])).
% 225.14/225.18 cnf(12502,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125021,a913)),x125022),x125022))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12509,plain,
% 225.14/225.18 (P105(f326(f326(f328(f925(x125091,a913)),x125092),f326(f307(x125091),x125092)))),
% 225.14/225.18 inference(rename_variables,[],[3876])).
% 225.14/225.18 cnf(12518,plain,
% 225.14/225.18 (~E(f326(a112,x125181),x125181)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12519,plain,
% 225.14/225.18 (E(f326(f309(x125191,x125191,f7(x125191)),x125192),x125192)),
% 225.14/225.18 inference(rename_variables,[],[3569])).
% 225.14/225.18 cnf(12522,plain,
% 225.14/225.18 (P32(x125221,x125222,f113(x125221),f113(x125221))),
% 225.14/225.18 inference(rename_variables,[],[3759])).
% 225.14/225.18 cnf(12525,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125251,a913)),f326(f172(x125251),f176(x125251,x125252,x125253))),f326(f172(x125251),x125252)))),
% 225.14/225.18 inference(rename_variables,[],[4207])).
% 225.14/225.18 cnf(12526,plain,
% 225.14/225.18 (P105(f326(f60(x125261),f326(f172(x125261),x125262)))),
% 225.14/225.18 inference(rename_variables,[],[3552])).
% 225.14/225.18 cnf(12537,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x125371),x125371))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12540,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x125401),x125401))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12545,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x125451))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(12552,plain,
% 225.14/225.18 (P13(a917,f326(f168(a917),f326(f326(f154(f918(x125521),a917),f189(f918(x125521))),f179(x125521,x125522))))),
% 225.14/225.18 inference(rename_variables,[],[4074])).
% 225.14/225.18 cnf(12555,plain,
% 225.14/225.18 (P25(x125551,x125551,f7(x125551),x125552)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12558,plain,
% 225.14/225.18 (P25(x125581,x125581,f7(x125581),x125582)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12561,plain,
% 225.14/225.18 (P105(f326(f326(f328(f918(x125611)),f113(x125611)),f161(x125611,x125612)))),
% 225.14/225.18 inference(rename_variables,[],[3710])).
% 225.14/225.18 cnf(12564,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x125641,f925(x125642,a913))),x125643),x125644))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(12569,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x125691),x125691))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12570,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),f2(a917)),x125701))),
% 225.14/225.18 inference(rename_variables,[],[3533])).
% 225.14/225.18 cnf(12573,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x125731,f925(x125732,a913))),x125733),x125734))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(12576,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(f924(f918(x125761),f918(x125761)),a913)),f158(x125761,x125762)),f306(f918(x125761),f157(x125761,x125762))))),
% 225.14/225.18 inference(rename_variables,[],[4212])).
% 225.14/225.18 cnf(12582,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125821,a913)),f326(f309(x125822,x125821,x125823),f326(f310(x125822,x125821,x125823),x125824))),x125824))),
% 225.14/225.18 inference(rename_variables,[],[4389])).
% 225.14/225.18 cnf(12585,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125851,a913)),f326(f172(x125851),f176(x125851,x125852,x125853))),f326(f172(x125851),x125852)))),
% 225.14/225.18 inference(rename_variables,[],[4207])).
% 225.14/225.18 cnf(12586,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125861,a913)),f326(f172(x125861),f326(f136(x125861,x125862),x125863))),f326(f172(x125861),x125863)))),
% 225.14/225.18 inference(rename_variables,[],[4160])).
% 225.14/225.18 cnf(12588,plain,
% 225.14/225.18 (~P105(f326(f326(f234(f925(x125881,a913)),f241(f925(x125881,a913))),f188(f925(x125881,a913))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,12452,12555,3759,4698,4699,3385,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3147,3150,3156,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3392,3569,11124,11251,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,3875,4564,4565,4686,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,12224,12576,4160,11121,12409,4207,11329,12449,12525,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,11504,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,4389,11112,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504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% 225.14/225.18 cnf(12589,plain,
% 225.14/225.18 (~P105(f326(f326(f235(f925(x125891,a913)),x125892),f188(f925(x125891,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4741])).
% 225.14/225.18 cnf(12597,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x125971,a913)),f326(f309(x125972,x125971,x125973),f326(f310(x125972,x125971,x125973),x125974))),x125974))),
% 225.14/225.18 inference(rename_variables,[],[4389])).
% 225.14/225.18 cnf(12601,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(f918(a917),f918(a917))),f326(f326(f251(f918(a917),f918(a917)),f113(a917)),f114(a917,f113(a917)))),f262(f918(a917),f161(a917,x126011))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,12452,12555,3759,3767,3483,4698,4699,3382,3385,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3392,3569,11124,11251,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,3875,4564,4565,4686,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,12224,12576,4160,11121,12409,4207,11329,12449,12525,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,11504,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,4389,11112,12582,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344])).
% 225.14/225.18 cnf(12602,plain,
% 225.14/225.18 (P105(f326(f326(f328(f918(x126021)),f113(x126021)),f161(x126021,x126022)))),
% 225.14/225.18 inference(rename_variables,[],[3710])).
% 225.14/225.18 cnf(12605,plain,
% 225.14/225.18 (~P105(f326(f326(f328(f924(f918(x126051),f918(x126051))),f326(f326(f251(f918(x126051),f918(x126051)),x126052),f113(x126051))),f145(x126051,x126053)))),
% 225.14/225.18 inference(rename_variables,[],[4749])).
% 225.14/225.18 cnf(12608,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x126081),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12610,plain,
% 225.14/225.18 (~P105(f326(f60(x126101),f241(f925(x126101,a913))))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,12452,12555,3759,3767,3483,4698,4699,3382,3385,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3392,3569,11124,11251,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,3875,4564,4565,4686,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,12224,12576,4160,11121,12409,4207,11329,12449,12525,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,11504,12502,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,4389,11112,12582,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383])).
% 225.14/225.18 cnf(12611,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x126111,a913)),x126112),x126112))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12614,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x126141),x126142),f188(f925(x126141,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12617,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x126171,f925(x126172,a913))),x126173),x126174))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(12620,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x126201,a913)),f326(f309(x126202,x126201,x126203),f326(f310(x126202,x126201,x126203),x126204))),x126204))),
% 225.14/225.18 inference(rename_variables,[],[4389])).
% 225.14/225.18 cnf(12621,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x126211,a913)),x126212),x126212))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12626,plain,
% 225.14/225.18 (E(f326(f283(x126261,x126261),f262(x126261,x126262)),x126262)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12629,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x126291,a913)),f326(f172(x126291),f176(x126291,x126292,x126293))),f326(f172(x126291),x126292)))),
% 225.14/225.18 inference(rename_variables,[],[4207])).
% 225.14/225.18 cnf(12630,plain,
% 225.14/225.18 (P105(f326(f60(x126301),f326(f172(x126301),x126302)))),
% 225.14/225.18 inference(rename_variables,[],[3552])).
% 225.14/225.18 cnf(12633,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x126331),x126331))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12636,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x126361),x126361))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12639,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x126391),x126391))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12643,plain,
% 225.14/225.18 (~P105(f326(f326(f235(f925(a917,a913)),f302(a917,x126431,x126432)),f302(a917,f326(a112,x126433),x126433)))),
% 225.14/225.18 inference(scs_inference,[],[3114,3750,11397,12452,12555,3759,3767,3483,4698,4699,3382,3385,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,3718,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,3450,3459,3970,4277,3349,3712,4064,11730,3410,3345,3372,3368,3356,3357,3983,3392,3569,11124,11251,3443,4149,4688,10540,10710,3503,12057,4731,11303,11402,11641,11644,3617,3407,10613,10943,3408,3671,3429,11720,4291,4151,11323,11454,11513,4749,11226,11467,11576,11602,11649,11655,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,3875,4564,4565,4686,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3703,4738,4284,11599,3833,3552,12078,12081,12526,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,4253,4212,12224,12576,4160,11121,12409,4207,11329,12449,12525,12585,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,3573,10940,10970,10979,10982,10985,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,4117,11675,12013,3958,11242,11248,11266,12259,12389,3807,11382,11504,12502,12611,3960,10976,11345,11510,11544,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,913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% 225.14/225.18 cnf(12650,plain,
% 225.14/225.18 (P25(x126501,x126501,f7(x126501),x126502)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12658,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x126581),x126582),f188(f925(x126581,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12661,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x126611,x126611)),f326(f326(f251(x126611,x126611),x126612),x126612)),f306(x126611,x126613)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(12664,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x126641),x126642),f188(f925(x126641,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12667,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x126671,x126671)),f326(f326(f251(x126671,x126671),x126672),x126672)),f306(x126671,x126673)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(12677,plain,
% 225.14/225.18 (~E(f326(f326(f151(x126771),x126772),x126773),x126773)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(12684,plain,
% 225.14/225.18 (P105(f326(f326(f328(x126841),x126842),f241(f925(x126841,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(12685,plain,
% 225.14/225.18 (~E(f326(a112,x126851),x126851)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12688,plain,
% 225.14/225.18 (P105(f326(f326(f328(f918(x126881)),f113(x126881)),f161(x126881,x126882)))),
% 225.14/225.18 inference(rename_variables,[],[3710])).
% 225.14/225.18 cnf(12689,plain,
% 225.14/225.18 (~E(f326(f326(f151(x126891),x126892),x126893),f113(x126891))),
% 225.14/225.18 inference(rename_variables,[],[4695])).
% 225.14/225.18 cnf(12692,plain,
% 225.14/225.18 (P25(x126921,x126921,f7(x126921),x126922)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12695,plain,
% 225.14/225.18 (P105(f326(f326(f328(x126951),f326(x126952,x126953)),f326(f309(x126954,x126951,x126952),f241(f925(x126954,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(12696,plain,
% 225.14/225.18 (P25(x126961,x126961,f7(x126961),x126962)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12699,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x126991,a913)),f188(f925(x126991,a913))),x126992))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(12700,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127001,a913)),x127002),x127002))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12703,plain,
% 225.14/225.18 (P105(f326(f326(f328(x127031),f326(x127032,x127033)),f326(f309(x127034,x127031,x127032),f241(f925(x127034,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(12704,plain,
% 225.14/225.18 (P25(x127041,x127041,f7(x127041),x127042)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12707,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(f918(x127071),f918(x127071))),f326(f326(f251(f918(x127071),f918(x127071)),f113(x127071)),f113(x127071))),f158(x127071,x127072)))),
% 225.14/225.18 inference(rename_variables,[],[4291])).
% 225.14/225.18 cnf(12711,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x127111),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(12717,plain,
% 225.14/225.18 (E(f326(f326(f134(x127171),x127172),f113(x127171)),x127172)),
% 225.14/225.18 inference(rename_variables,[],[3444])).
% 225.14/225.18 cnf(12718,plain,
% 225.14/225.18 (~E(f326(f326(f151(x127181),x127182),x127183),x127183)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(12721,plain,
% 225.14/225.18 (E(f326(f326(f134(x127211),x127212),f113(x127211)),x127212)),
% 225.14/225.18 inference(rename_variables,[],[3444])).
% 225.14/225.18 cnf(12722,plain,
% 225.14/225.18 (~E(f326(f326(f151(x127221),x127222),x127223),x127223)),
% 225.14/225.18 inference(rename_variables,[],[4688])).
% 225.14/225.18 cnf(12725,plain,
% 225.14/225.18 (E(f326(f326(f134(x127251),x127252),f113(x127251)),x127252)),
% 225.14/225.18 inference(rename_variables,[],[3444])).
% 225.14/225.18 cnf(12732,plain,
% 225.14/225.18 (P51(x127321,f262(x127321,x127322))),
% 225.14/225.18 inference(rename_variables,[],[3386])).
% 225.14/225.18 cnf(12735,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127351,a913)),f326(f172(x127351),f326(f136(x127351,x127352),x127353))),f326(f172(x127351),x127353)))),
% 225.14/225.18 inference(rename_variables,[],[4160])).
% 225.14/225.18 cnf(12736,plain,
% 225.14/225.18 (E(f326(f309(x127361,x127361,f7(x127361)),x127362),x127362)),
% 225.14/225.18 inference(rename_variables,[],[3569])).
% 225.14/225.18 cnf(12741,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127411,a913)),x127412),f241(f925(x127411,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12745,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x127451),x127451))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12746,plain,
% 225.14/225.18 (~E(f326(a112,x127461),x127461)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12749,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127491,a913)),f188(f925(x127491,a913))),x127492))),
% 225.14/225.18 inference(rename_variables,[],[3960])).
% 225.14/225.18 cnf(12752,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x127521),x127521))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12755,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127551,a913)),x127552),x127552))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12760,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127601,a913)),x127602),f326(f326(f308(x127601),x127603),x127602)))),
% 225.14/225.18 inference(rename_variables,[],[3958])).
% 225.14/225.18 cnf(12763,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x127631,a913)),x127632),x127632))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12764,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x127641),x127642),f188(f925(x127641,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12767,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x127671),x127672),f188(f925(x127671,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12776,plain,
% 225.14/225.18 (P25(x127761,x127761,f7(x127761),x127762)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12779,plain,
% 225.14/225.18 (E(f326(f189(f918(x127791)),f169(x127791,x127792,x127793)),x127792)),
% 225.14/225.18 inference(rename_variables,[],[3579])).
% 225.14/225.18 cnf(12782,plain,
% 225.14/225.18 (P26(x127821,x127821,f31(x127821),x127822,x127822)),
% 225.14/225.18 inference(rename_variables,[],[4175])).
% 225.14/225.18 cnf(12785,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x127851),x127851))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12786,plain,
% 225.14/225.18 (P105(f326(f241(f925(x127861,a913)),x127862))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(12789,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x127891),x127892),f188(f925(x127891,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12792,plain,
% 225.14/225.18 (P105(f326(f326(f328(x127921),f326(x127922,x127923)),f326(f309(x127924,x127921,x127922),f241(f925(x127924,a913)))))),
% 225.14/225.18 inference(rename_variables,[],[4117])).
% 225.14/225.18 cnf(12793,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x127931,x127931)),f326(f326(f251(x127931,x127931),x127932),x127932)),f306(x127931,x127933)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(12796,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x127961,x127961)),f326(f326(f251(x127961,x127961),x127962),x127962)),f306(x127961,x127963)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(12799,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x127991),x127991))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(12800,plain,
% 225.14/225.18 (P105(f326(f241(f925(x128001,a913)),x128002))),
% 225.14/225.18 inference(rename_variables,[],[3573])).
% 225.14/225.18 cnf(12803,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x128031,a913)),x128032),f241(f925(x128031,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12804,plain,
% 225.14/225.18 (P26(x128041,x128041,f31(x128041),x128042,x128042)),
% 225.14/225.18 inference(rename_variables,[],[4175])).
% 225.14/225.18 cnf(12807,plain,
% 225.14/225.18 (P105(f326(f60(x128071),f326(f172(x128071),x128072)))),
% 225.14/225.18 inference(rename_variables,[],[3552])).
% 225.14/225.18 cnf(12809,plain,
% 225.14/225.18 (E(f326(f326(f134(x128091),f679(x128092,x128093,f113(x128091),f326(f326(f151(x128091),x128093),x128092),x128091)),f113(x128091)),x128092)),
% 225.14/225.18 inference(scs_inference,[],[3114,4175,12782,3750,11397,12452,12555,12558,12650,12692,12696,12704,3759,3767,3483,4698,4699,3382,3385,3386,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,3568,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,3444,12717,12721,12725,3450,3459,3970,4277,3579,3349,3712,4064,11730,3410,3345,3372,3828,3368,3356,3357,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,4695,12689,3503,12057,4731,11303,11402,11641,11644,3617,4709,3407,10613,10943,3408,3671,3429,11720,4291,12707,4151,11323,11454,11513,12661,12667,12793,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,4686,11713,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3901,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619])).
% 225.14/225.18 cnf(12814,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x128141,x128141)),f326(f326(f251(x128141,x128141),x128142),x128142)),f326(f326(f288(x128141,x128141,x128141),f306(x128141,x128143)),f306(x128141,f306(x128141,x128143)))))),
% 225.14/225.18 inference(scs_inference,[],[3114,4175,12782,3750,11397,12452,12555,12558,12650,12692,12696,12704,3759,3767,3483,4698,4699,3382,3385,3386,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,3568,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,3444,12717,12721,12725,3450,3459,3970,4277,3579,3349,3712,4064,11730,3410,3345,3372,3828,3368,3356,3357,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,4695,12689,3503,12057,4731,11303,11402,11641,11644,3617,4709,3407,10613,10943,3408,3671,3429,11720,4291,12707,4151,11323,11454,11513,12661,12667,12793,12796,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,4686,11713,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3901,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671])).
% 225.14/225.18 cnf(12817,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x128171,f925(x128172,a913))),x128173),x128174))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(12820,plain,
% 225.14/225.18 (~P105(f326(f326(f188(f925(x128201,f925(x128202,a913))),x128203),x128204))),
% 225.14/225.18 inference(rename_variables,[],[4747])).
% 225.14/225.18 cnf(12823,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x128231,a913)),x128232),f241(f925(x128231,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12826,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(x128261,x128261)),f326(f326(f251(x128261,x128261),x128262),x128262)),f306(x128261,x128263)))),
% 225.14/225.18 inference(rename_variables,[],[4151])).
% 225.14/225.18 cnf(12829,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),f326(f326(f79(a917),x128291),x128292)),x128292))),
% 225.14/225.18 inference(rename_variables,[],[4744])).
% 225.14/225.18 cnf(12830,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x128301),f326(a112,x128301)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(12833,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x128331,a913)),x128332),f241(f925(x128331,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3893])).
% 225.14/225.18 cnf(12836,plain,
% 225.14/225.18 (E(f326(f283(x128361,x128361),f262(x128361,x128362)),x128362)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12846,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x128461),f326(f189(f918(x128462)),f113(x128462))))),
% 225.14/225.18 inference(scs_inference,[],[3114,4175,12782,3750,11397,12452,12555,12558,12650,12692,12696,12704,3759,3767,3483,4698,4699,3382,3385,3386,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,3568,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,3848,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,3444,12717,12721,12725,3450,3459,3970,4277,3579,3349,3712,4064,11730,3410,3345,3372,3828,3368,3356,3357,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,4695,12689,3503,12057,4731,11303,11402,11641,11644,3617,4709,3407,10613,10943,3408,3671,3429,11720,4291,12707,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,4686,11713,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3901,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,12617,12817,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,12018,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746])).
% 225.14/225.18 cnf(12847,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x128471),x128472),f188(f925(x128471,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12848,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(f918(x128481),f918(x128481))),f326(f326(f251(f918(x128481),f918(x128481)),f113(x128481)),f113(x128481))),f158(x128481,x128482)))),
% 225.14/225.18 inference(rename_variables,[],[4291])).
% 225.14/225.18 cnf(12850,plain,
% 225.14/225.18 (P105(f326(f326(f328(f924(a917,a917)),f326(f326(f251(a917,a917),f2(a917)),f326(a112,f2(a917)))),f326(f326(f288(a917,a917,a917),f306(a917,a316)),f306(a917,f306(a917,a316)))))),
% 225.14/225.18 inference(scs_inference,[],[3114,4175,12782,3750,11397,12452,12555,12558,12650,12692,12696,12704,3759,3767,3483,4698,4699,3382,3385,3386,4697,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,3568,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,3307,4667,3848,4078,11975,3359,11686,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,3444,12717,12721,12725,3450,3459,3970,4277,3579,3349,3712,4064,11730,3410,3345,3372,3828,3368,3356,3357,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,4695,12689,3503,12057,4731,11303,11402,11641,11644,3617,4709,3407,10613,10943,3408,3671,3429,11720,4291,12707,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,4686,11713,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3901,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,12617,12817,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,12018,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,82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% 225.14/225.18 cnf(12853,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x128531),x128532),f188(f925(x128531,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12858,plain,
% 225.14/225.18 (P31(x128581,x128582,f113(x128581))),
% 225.14/225.18 inference(rename_variables,[],[3449])).
% 225.14/225.18 cnf(12861,plain,
% 225.14/225.18 (E(f326(f189(f918(x128611)),f169(x128611,x128612,x128613)),x128612)),
% 225.14/225.18 inference(rename_variables,[],[3579])).
% 225.14/225.18 cnf(12864,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x128641),x128642),f188(f925(x128641,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12870,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x128701),x128701))),
% 225.14/225.18 inference(rename_variables,[],[4720])).
% 225.14/225.18 cnf(12873,plain,
% 225.14/225.18 (P105(f326(f326(f328(x128731),x128732),f241(f925(x128731,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3666])).
% 225.14/225.18 cnf(12880,plain,
% 225.14/225.18 (P24(x128801,x128802,f326(f326(f308(f916(x128801)),f91(x128801,f326(f326(f9(x128801,f925(a915,a913),f925(a915,a913)),f326(f326(f10(f925(a915,f925(a913,a913)),f925(f925(a915,a913),f925(a915,a913)),x128801),f20(a915,a913,a913)),f326(f326(f10(f925(a915,a913),f925(a915,f925(a913,a913)),x128801),f326(f10(a913,f925(a913,a913),a915),a324)),x128803))),f326(f326(f10(a913,a913,a915),a321),x128804)),f29(x128804,x128805),x128803)),f188(f925(f916(x128801),a913))))),
% 225.14/225.18 inference(rename_variables,[],[4641])).
% 225.14/225.18 cnf(12883,plain,
% 225.14/225.18 (P105(f326(f326(f234(f925(x128831,a913)),x128832),x128832))),
% 225.14/225.18 inference(rename_variables,[],[3807])).
% 225.14/225.18 cnf(12886,plain,
% 225.14/225.18 (~P105(f326(f326(f328(x128861),x128862),f188(f925(x128861,a913))))),
% 225.14/225.18 inference(rename_variables,[],[4733])).
% 225.14/225.18 cnf(12889,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x128891)),x128892)))),
% 225.14/225.18 inference(rename_variables,[],[3992])).
% 225.14/225.18 cnf(12892,plain,
% 225.14/225.18 (~E(f326(a112,x128921),x128921)),
% 225.14/225.18 inference(rename_variables,[],[4669])).
% 225.14/225.18 cnf(12894,plain,
% 225.14/225.18 (E(f326(f283(x128941,x128941),f262(x128941,x128942)),x128942)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12898,plain,
% 225.14/225.18 (E(f188(f925(f924(x128981,x128981),a913)),f262(x128981,f188(f925(x128981,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3583])).
% 225.14/225.18 cnf(12900,plain,
% 225.14/225.18 (E(f188(f925(f924(x129001,x129001),a913)),f262(x129001,f188(f925(x129001,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3583])).
% 225.14/225.18 cnf(12902,plain,
% 225.14/225.18 (P25(x129021,x129021,f7(x129021),x129022)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12904,plain,
% 225.14/225.18 (P25(x129041,x129041,f7(x129041),x129042)),
% 225.14/225.18 inference(rename_variables,[],[3750])).
% 225.14/225.18 cnf(12911,plain,
% 225.14/225.18 (E(f326(f283(x129111,x129111),f262(x129111,x129112)),x129112)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12918,plain,
% 225.14/225.18 (E(f326(f283(x129181,x129181),f262(x129181,x129182)),x129182)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12920,plain,
% 225.14/225.18 (E(f326(f283(x129201,x129201),f262(x129201,x129202)),x129202)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12922,plain,
% 225.14/225.18 (E(f326(f283(x129221,x129221),f262(x129221,x129222)),x129222)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12927,plain,
% 225.14/225.18 (E(f326(f283(x129271,x129271),f262(x129271,x129272)),x129272)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12929,plain,
% 225.14/225.18 (P52(x129291,x129292,f262(x129291,x129292))),
% 225.14/225.18 inference(rename_variables,[],[3482])).
% 225.14/225.18 cnf(12931,plain,
% 225.14/225.18 (P52(x129311,x129312,f262(x129311,x129312))),
% 225.14/225.18 inference(rename_variables,[],[3482])).
% 225.14/225.18 cnf(12933,plain,
% 225.14/225.18 (P52(x129331,x129332,f262(x129331,x129332))),
% 225.14/225.18 inference(rename_variables,[],[3482])).
% 225.14/225.18 cnf(12935,plain,
% 225.14/225.18 (E(f326(f283(x129351,x129351),f262(x129351,x129352)),x129352)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12940,plain,
% 225.14/225.18 (E(f326(f283(x129401,x129401),f262(x129401,x129402)),x129402)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(12942,plain,
% 225.14/225.18 (P26(x129421,x129421,f31(x129421),x129422,x129422)),
% 225.14/225.18 inference(rename_variables,[],[4175])).
% 225.14/225.18 cnf(12944,plain,
% 225.14/225.18 (P26(x129441,x129441,f31(x129441),x129442,x129442)),
% 225.14/225.18 inference(rename_variables,[],[4175])).
% 225.14/225.18 cnf(12946,plain,
% 225.14/225.18 (P26(x129461,x129461,f31(x129461),x129462,x129462)),
% 225.14/225.18 inference(rename_variables,[],[4175])).
% 225.14/225.18 cnf(12952,plain,
% 225.14/225.18 (P37(x129521,f153(x129521,x129522))),
% 225.14/225.18 inference(rename_variables,[],[3382])).
% 225.14/225.18 cnf(12962,plain,
% 225.14/225.18 (E(f188(f925(f924(x129621,x129621),a913)),f262(x129621,f188(f925(x129621,a913))))),
% 225.14/225.18 inference(rename_variables,[],[3583])).
% 225.14/225.18 cnf(12968,plain,
% 225.14/225.18 (P38(x129681,f262(x129681,x129682))),
% 225.14/225.18 inference(rename_variables,[],[3383])).
% 225.14/225.18 cnf(12976,plain,
% 225.14/225.18 (P54(x129761,x129761,f262(x129761,x129762))),
% 225.14/225.18 inference(rename_variables,[],[3483])).
% 225.14/225.18 cnf(12984,plain,
% 225.14/225.18 (P51(x129841,f262(x129841,x129842))),
% 225.14/225.18 inference(rename_variables,[],[3386])).
% 225.14/225.18 cnf(12989,plain,
% 225.14/225.18 (P32(x129891,x129892,f113(x129891),f113(x129891))),
% 225.14/225.18 inference(rename_variables,[],[3759])).
% 225.14/225.18 cnf(12991,plain,
% 225.14/225.18 (P32(x129911,x129912,f113(x129911),f113(x129911))),
% 225.14/225.18 inference(rename_variables,[],[3759])).
% 225.14/225.18 cnf(13003,plain,
% 225.14/225.18 (P55(x130031,f188(f925(x130031,a913)),x130032)),
% 225.14/225.18 inference(rename_variables,[],[3531])).
% 225.14/225.18 cnf(13007,plain,
% 225.14/225.18 (P14(x130071,f925(x130071,a913),f308(x130071))),
% 225.14/225.18 inference(rename_variables,[],[3486])).
% 225.14/225.18 cnf(13011,plain,
% 225.14/225.18 (~E(f326(f328(f924(f918(x130111),f918(x130111))),f326(f326(f251(f918(x130111),f918(x130111)),f113(x130111)),f113(x130111))),f326(f172(x130112),f113(x130112)))),
% 225.14/225.18 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,3759,12522,12989,12991,3767,3482,12929,12931,3483,12976,3449,12858,4698,4699,3486,13007,3325,3382,12952,3383,3384,3385,3386,12732,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3270,3271,3273,3276,3277,3281,3291,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,3444,12717,12721,12725,3450,3459,3970,4277,3579,12779,12861,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,4107,4731,11303,11402,11641,11644,3910,3617,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,4737,11832,11863,11898,11905,11941,3950,3719,3721,4099,3539,3541,3515,4721,4683,3901,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,4332,4727,4005,4039,4712,4715,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,4746,11958,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,3936,4744,10562,10565,10934,10937,11829,12018,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044])).
% 225.14/225.18 cnf(13015,plain,
% 225.14/225.18 (P42(x130151,x130152,x130153,x130154,f188(f925(x130151,a913)),x130154)),
% 225.14/225.18 inference(rename_variables,[],[4450])).
% 225.14/225.18 cnf(13028,plain,
% 225.14/225.18 (E(f326(f283(x130281,x130281),f262(x130281,x130282)),x130282)),
% 225.14/225.18 inference(rename_variables,[],[3473])).
% 225.14/225.18 cnf(13039,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x130391),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(13048,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f326(f100(a1),x130481)),f326(f78(a1),f326(f100(a1),x130482))))),
% 225.14/225.18 inference(rename_variables,[],[4742])).
% 225.14/225.18 cnf(13058,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x130581),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(13061,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x130611),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(13064,plain,
% 225.14/225.18 (P105(f326(f60(a917),f304(a917,x130641,x130642)))),
% 225.14/225.18 inference(rename_variables,[],[3721])).
% 225.14/225.18 cnf(13067,plain,
% 225.14/225.18 (P105(f326(f60(a917),f304(a917,x130671,x130672)))),
% 225.14/225.18 inference(rename_variables,[],[3721])).
% 225.14/225.18 cnf(13070,plain,
% 225.14/225.18 (P105(f326(f60(a917),f304(a917,x130701,x130702)))),
% 225.14/225.18 inference(rename_variables,[],[3721])).
% 225.14/225.18 cnf(13073,plain,
% 225.14/225.18 (P105(f326(f60(a917),f304(a917,x130731,x130732)))),
% 225.14/225.18 inference(rename_variables,[],[3721])).
% 225.14/225.18 cnf(13080,plain,
% 225.14/225.18 (P105(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x130801))),f326(f100(a1),x130802)))),
% 225.14/225.18 inference(rename_variables,[],[3993])).
% 225.14/225.18 cnf(13085,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a917),x130851),f2(a917)))),
% 225.14/225.18 inference(rename_variables,[],[4724])).
% 225.14/225.18 cnf(13086,plain,
% 225.14/225.18 (P105(f326(f326(f234(a917),x130861),x130861))),
% 225.14/225.18 inference(rename_variables,[],[3512])).
% 225.14/225.18 cnf(13093,plain,
% 225.14/225.18 (P105(f326(f326(f235(a917),x130931),f326(a112,x130931)))),
% 225.14/225.18 inference(rename_variables,[],[3580])).
% 225.14/225.18 cnf(13097,plain,
% 225.14/225.18 (~P105(f326(f326(f235(a1),f2(a1)),f326(f104(a1),f2(a1))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3145,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3267,3270,3271,3273,3276,3277,3281,3291,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,3444,12717,12721,12725,3450,3459,3970,4277,3579,12779,12861,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,4107,4731,11303,11402,11641,11644,3910,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,4737,11832,11863,11898,11905,11941,3950,3719,3721,12252,13064,13067,13070,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,3573,10940,10970,10979,10982,10985,11568,12786,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,12084,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,3936,3937,4744,10562,10565,10934,10937,11829,12018,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474])).
% 225.14/225.19 cnf(13100,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x131001),x131001))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13103,plain,
% 225.14/225.19 (P105(f326(f60(a917),f304(a917,x131031,x131032)))),
% 225.14/225.19 inference(rename_variables,[],[3721])).
% 225.14/225.19 cnf(13106,plain,
% 225.14/225.19 (P105(f326(f60(a917),f304(a917,x131061,x131062)))),
% 225.14/225.19 inference(rename_variables,[],[3721])).
% 225.14/225.19 cnf(13109,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x131091),x131091))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13126,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),f44(a917,x131261,x131262)),x131261))),
% 225.14/225.19 inference(rename_variables,[],[3968])).
% 225.14/225.19 cnf(13131,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x131311),f326(a112,x131311)))),
% 225.14/225.19 inference(rename_variables,[],[3580])).
% 225.14/225.19 cnf(13134,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x131341),f326(a112,x131341)))),
% 225.14/225.19 inference(rename_variables,[],[3580])).
% 225.14/225.19 cnf(13135,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x131351),f2(a917)))),
% 225.14/225.19 inference(rename_variables,[],[4724])).
% 225.14/225.19 cnf(13144,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a1),f326(f100(a1),x131441)),f2(a1)))),
% 225.14/225.19 inference(rename_variables,[],[4737])).
% 225.14/225.19 cnf(13145,plain,
% 225.14/225.19 (P105(f326(f241(f925(x131451,a913)),x131452))),
% 225.14/225.19 inference(rename_variables,[],[3573])).
% 225.14/225.19 cnf(13148,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a1),f326(f100(a1),x131481)),f2(a1)))),
% 225.14/225.19 inference(rename_variables,[],[4737])).
% 225.14/225.19 cnf(13149,plain,
% 225.14/225.19 (P105(f326(f241(f925(x131491,a913)),x131492))),
% 225.14/225.19 inference(rename_variables,[],[3573])).
% 225.14/225.19 cnf(13152,plain,
% 225.14/225.19 (P105(f326(f241(f925(x131521,a913)),x131522))),
% 225.14/225.19 inference(rename_variables,[],[3573])).
% 225.14/225.19 cnf(13155,plain,
% 225.14/225.19 (P105(f326(f241(f925(x131551,a913)),x131552))),
% 225.14/225.19 inference(rename_variables,[],[3573])).
% 225.14/225.19 cnf(13163,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x131631),x131632),f188(f925(x131631,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13164,plain,
% 225.14/225.19 (P105(f326(f60(x131641),f188(f925(x131641,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13167,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x131671),x131671))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13169,plain,
% 225.14/225.19 (~P105(f326(f326(f234(a1),f326(f104(a1),a82)),f326(f104(a1),a97)))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3156,3162,3171,3179,3182,3189,3192,3193,3201,3236,3241,3245,3246,3248,3256,3257,3264,3267,3270,3271,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,3444,12717,12721,12725,3450,3459,3970,4277,3579,12779,12861,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,4107,4731,11303,11402,11641,11644,3910,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,4074,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,4737,11832,11863,11898,11905,11941,13144,3950,3719,3721,12252,13064,13067,13070,13073,13103,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,3514,12496,3588,12441,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,3613,3605,4031,3968,10592,11964,11992,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,3993,12084,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101])).
% 225.14/225.19 cnf(13176,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),f2(a917)),x131761))),
% 225.14/225.19 inference(rename_variables,[],[3533])).
% 225.14/225.19 cnf(13179,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x131791),x131792),f188(f925(x131791,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13182,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x131821),x131822),f188(f925(x131821,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13185,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x131851),x131851))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13193,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x131931),f326(a112,x131931)))),
% 225.14/225.19 inference(rename_variables,[],[3580])).
% 225.14/225.19 cnf(13196,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x131961),x131961))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13201,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132011),x132011))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13204,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132041),x132041))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13207,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132071),x132071))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13210,plain,
% 225.14/225.19 (E(f326(f326(f3(f925(x132101,a913)),f188(f925(x132101,a913))),x132102),f188(f925(x132101,a913)))),
% 225.14/225.19 inference(rename_variables,[],[3778])).
% 225.14/225.19 cnf(13211,plain,
% 225.14/225.19 (P105(f326(f60(x132111),f188(f925(x132111,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13214,plain,
% 225.14/225.19 (E(f326(f326(f3(f925(x132141,a913)),f188(f925(x132141,a913))),x132142),f188(f925(x132141,a913)))),
% 225.14/225.19 inference(rename_variables,[],[3778])).
% 225.14/225.19 cnf(13215,plain,
% 225.14/225.19 (P105(f326(f60(x132151),f188(f925(x132151,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13218,plain,
% 225.14/225.19 (E(f326(f326(f3(f925(x132181,a913)),f188(f925(x132181,a913))),x132182),f188(f925(x132181,a913)))),
% 225.14/225.19 inference(rename_variables,[],[3778])).
% 225.14/225.19 cnf(13219,plain,
% 225.14/225.19 (P105(f326(f60(x132191),f188(f925(x132191,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13222,plain,
% 225.14/225.19 (E(f326(f326(f3(f925(x132221,a913)),f188(f925(x132221,a913))),x132222),f188(f925(x132221,a913)))),
% 225.14/225.19 inference(rename_variables,[],[3778])).
% 225.14/225.19 cnf(13223,plain,
% 225.14/225.19 (P105(f326(f60(x132231),f188(f925(x132231,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13227,plain,
% 225.14/225.19 (E(f326(f283(x132271,x132271),f262(x132271,x132272)),x132272)),
% 225.14/225.19 inference(rename_variables,[],[3473])).
% 225.14/225.19 cnf(13232,plain,
% 225.14/225.19 (E(f326(f326(f3(f925(x132321,a913)),f188(f925(x132321,a913))),x132322),f188(f925(x132321,a913)))),
% 225.14/225.19 inference(rename_variables,[],[3778])).
% 225.14/225.19 cnf(13233,plain,
% 225.14/225.19 (P105(f326(f60(x132331),f188(f925(x132331,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13237,plain,
% 225.14/225.19 (P105(f326(f60(x132371),f188(f925(x132371,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3588])).
% 225.14/225.19 cnf(13240,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132401),x132401))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13244,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x132441),x132441))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13251,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132511),x132511))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13264,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x132641),x132641))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13267,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x132671),x132671))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13278,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x132781),x132782),f188(f925(x132781,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13280,plain,
% 225.14/225.19 (~P105(f326(f326(f234(a917),f326(f326(f79(a917),f326(a112,x132801)),x132802)),x132802))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3153,3156,3162,3171,3179,3182,3189,3192,3193,3201,3212,3214,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,3444,12717,12721,12725,3450,3459,3970,4277,3579,12779,12861,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,4107,4731,11303,11402,11641,11644,3910,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,3613,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,12570,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036])).
% 225.14/225.19 cnf(13289,plain,
% 225.14/225.19 (P105(f326(f326(f328(x132891),x132892),f241(f925(x132891,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3666])).
% 225.14/225.19 cnf(13290,plain,
% 225.14/225.19 (E(f326(f192(x132901,x132902),x132903),f121(x132901,x132902))),
% 225.14/225.19 inference(rename_variables,[],[3427])).
% 225.14/225.19 cnf(13292,plain,
% 225.14/225.19 (~P25(x132921,x132922,f192(x132923,x132924),f326(f309(x132925,x132921,f326(f151(x132926),x132927)),f241(f925(x132925,a913))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3153,3156,3162,3171,3179,3182,3189,3192,3193,3201,3212,3214,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,4107,4731,11303,11402,11641,11644,3910,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,3613,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,3533,10973,11129,11199,11993,12140,12337,12545,12570,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087])).
% 225.14/225.19 cnf(13293,plain,
% 225.14/225.19 (P105(f326(f326(f328(x132931),f326(x132932,x132933)),f326(f309(x132934,x132931,x132932),f241(f925(x132934,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[4117])).
% 225.14/225.19 cnf(13297,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x132971,a913)),x132972),f241(f925(x132971,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3893])).
% 225.14/225.19 cnf(13300,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133001,a913)),x133002),x133002))),
% 225.14/225.19 inference(rename_variables,[],[3807])).
% 225.14/225.19 cnf(13306,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x133061),f2(a917)))),
% 225.14/225.19 inference(rename_variables,[],[4724])).
% 225.14/225.19 cnf(13307,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x133071),x133071))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13311,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x133111),f2(a917)))),
% 225.14/225.19 inference(rename_variables,[],[4724])).
% 225.14/225.19 cnf(13312,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x133121),x133121))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13317,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x133171),x133171))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13324,plain,
% 225.14/225.19 (E(f326(f326(f18(x133241,x133242),x133243),x133244),x133243)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13327,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133271,a913)),f326(f172(x133271),f176(x133271,x133272,x133273))),f326(f172(x133271),x133272)))),
% 225.14/225.19 inference(rename_variables,[],[4207])).
% 225.14/225.19 cnf(13334,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x133341),f2(a917)))),
% 225.14/225.19 inference(rename_variables,[],[4724])).
% 225.14/225.19 cnf(13335,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x133351),x133351))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13339,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x133391),f2(a917)))),
% 225.14/225.19 inference(rename_variables,[],[4724])).
% 225.14/225.19 cnf(13340,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),x133401),x133401))),
% 225.14/225.19 inference(rename_variables,[],[3513])).
% 225.14/225.19 cnf(13345,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x133451),x133451))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13348,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x133481),x133481))),
% 225.14/225.19 inference(rename_variables,[],[3512])).
% 225.14/225.19 cnf(13351,plain,
% 225.14/225.19 (~P105(f326(f326(f234(a917),f326(a112,x133511)),x133511))),
% 225.14/225.19 inference(rename_variables,[],[4730])).
% 225.14/225.19 cnf(13356,plain,
% 225.14/225.19 (E(x133561,f485(f326(f7(x133562),f326(f7(x133562),x133561)),f7(x133562),x133562,x133562))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3153,3156,3162,3171,3179,3182,3189,3192,3193,3201,3212,3214,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,4107,4731,11303,11402,11641,11644,3910,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,4741,11072,11478,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,3958,11242,11248,11266,12259,12389,12470,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,4289,3960,10976,11345,11510,11544,11555,12699,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862])).
% 225.14/225.19 cnf(13357,plain,
% 225.14/225.19 (P105(f326(f326(f328(x133571),f326(x133572,x133573)),f326(f309(x133574,x133571,x133572),f241(f925(x133574,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[4117])).
% 225.14/225.19 cnf(13358,plain,
% 225.14/225.19 (P25(x133581,x133581,f7(x133581),x133582)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13363,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133631,a913)),x133632),f241(f925(x133631,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3893])).
% 225.14/225.19 cnf(13364,plain,
% 225.14/225.19 (P25(x133641,x133641,f7(x133641),x133642)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13368,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133681,a913)),x133682),f241(f925(x133681,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3893])).
% 225.14/225.19 cnf(13369,plain,
% 225.14/225.19 (P25(x133691,x133691,f7(x133691),x133692)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13373,plain,
% 225.14/225.19 (P25(x133731,x133731,f7(x133731),x133732)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13376,plain,
% 225.14/225.19 (~P105(f326(f326(f235(f925(x133761,a913)),x133762),f188(f925(x133761,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4741])).
% 225.14/225.19 cnf(13379,plain,
% 225.14/225.19 (P25(x133791,x133791,f7(x133791),x133792)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13382,plain,
% 225.14/225.19 (P25(x133821,x133821,f7(x133821),x133822)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13388,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133881,a913)),x133882),f241(f925(x133881,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3893])).
% 225.14/225.19 cnf(13393,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x133931,a913)),f188(f925(x133931,a913))),x133932))),
% 225.14/225.19 inference(rename_variables,[],[3960])).
% 225.14/225.19 cnf(13397,plain,
% 225.14/225.19 (E(f326(f283(x133971,x133971),f262(x133971,x133972)),x133972)),
% 225.14/225.19 inference(rename_variables,[],[3473])).
% 225.14/225.19 cnf(13401,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x134011),x134012),f188(f925(x134011,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13406,plain,
% 225.14/225.19 (P25(x134061,x134061,f7(x134061),x134062)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13409,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x134091,a913)),x134092),f241(f925(x134091,a913))))),
% 225.14/225.19 inference(rename_variables,[],[3893])).
% 225.14/225.19 cnf(13417,plain,
% 225.14/225.19 (E(f326(f326(f18(x134171,x134172),x134173),x134174),x134173)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13420,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x134201),x134202),f188(f925(x134201,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13423,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x134231),x134232),f188(f925(x134231,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13428,plain,
% 225.14/225.19 (~E(f326(a112,x134281),x134281)),
% 225.14/225.19 inference(rename_variables,[],[4669])).
% 225.14/225.19 cnf(13431,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x134311),f326(a112,x134311)))),
% 225.14/225.19 inference(rename_variables,[],[3580])).
% 225.14/225.19 cnf(13432,plain,
% 225.14/225.19 (~E(f326(a112,x134321),x134321)),
% 225.14/225.19 inference(rename_variables,[],[4669])).
% 225.14/225.19 cnf(13435,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x134351),f326(a112,f326(f326(f79(a917),x134352),x134351))))),
% 225.14/225.19 inference(rename_variables,[],[3961])).
% 225.14/225.19 cnf(13436,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),x134361),f326(a112,x134361)))),
% 225.14/225.19 inference(rename_variables,[],[3580])).
% 225.14/225.19 cnf(13445,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x134451)))),
% 225.14/225.19 inference(rename_variables,[],[3613])).
% 225.14/225.19 cnf(13448,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),f2(a917)),x134481))),
% 225.14/225.19 inference(rename_variables,[],[3533])).
% 225.14/225.19 cnf(13452,plain,
% 225.14/225.19 (~E(f326(a112,x134521),f2(a917))),
% 225.14/225.19 inference(rename_variables,[],[4679])).
% 225.14/225.19 cnf(13454,plain,
% 225.14/225.19 (P105(f326(f326(f286(a917),f326(f326(f11(x134541,a917),x134542),f326(f172(x134541),f176(x134541,x134543,x134544)))),f326(f326(f11(x134541,a917),x134542),f326(f172(x134541),x134543))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,12946,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,13358,13364,13369,13373,13379,13382,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,12892,13428,13432,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,11377,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3153,3156,3162,3171,3179,3182,3189,3192,3193,3201,3206,3212,3214,3215,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,13227,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,13324,4107,4731,11303,11402,11641,11644,3478,3910,3500,3617,3834,3589,4709,3583,12898,12900,12962,3407,10613,10943,3408,4718,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,11524,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,13431,3963,11961,3496,3592,11789,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,4099,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,4207,11329,12449,12525,12585,12629,13327,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,13297,13363,13368,13388,4741,11072,11478,12589,13376,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,13289,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,13278,13401,13420,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,13176,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,3823,11957,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,13357,3958,11242,11248,11266,12259,12389,12470,12760,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,4289,3960,10976,11345,11510,11544,11555,12699,12749,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,12620,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,11161,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862,9120,9121,9190,9204,9257,9258,9377,9412,9438,9472,9513,9715,9838,9981,10170,10226,10228,6080,6622,6623,6712,6732,6733,7153,7371,8704])).
% 225.14/225.19 cnf(13455,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x134551,a913)),f326(f172(x134551),f176(x134551,x134552,x134553))),f326(f172(x134551),x134552)))),
% 225.14/225.19 inference(rename_variables,[],[4207])).
% 225.14/225.19 cnf(13460,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x134601),x134602),f188(f925(x134601,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13463,plain,
% 225.14/225.19 (P105(f326(f60(a917),f304(a917,x134631,x134632)))),
% 225.14/225.19 inference(rename_variables,[],[3721])).
% 225.14/225.19 cnf(13464,plain,
% 225.14/225.19 (E(f326(f326(f233(a917),f326(a112,x134641)),f326(a112,x134642)),f326(a112,f326(f326(f233(a917),x134641),x134642)))),
% 225.14/225.19 inference(rename_variables,[],[3685])).
% 225.14/225.19 cnf(13467,plain,
% 225.14/225.19 (P105(f326(f60(a917),f304(a917,x134671,x134672)))),
% 225.14/225.19 inference(rename_variables,[],[3721])).
% 225.14/225.19 cnf(13468,plain,
% 225.14/225.19 (E(f326(f326(f238(a917),f326(a112,x134681)),f326(a112,x134682)),f326(a112,f326(f326(f238(a917),x134681),x134682)))),
% 225.14/225.19 inference(rename_variables,[],[3684])).
% 225.14/225.19 cnf(13471,plain,
% 225.14/225.19 (P105(f326(f60(a917),f304(a917,x134711,x134712)))),
% 225.14/225.19 inference(rename_variables,[],[3721])).
% 225.14/225.19 cnf(13480,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x134801),x134802),f188(f925(x134801,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13481,plain,
% 225.14/225.19 (E(f326(f326(f18(x134811,x134812),x134813),x134814),x134813)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13484,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x134841,a913)),f326(f172(x134841),f326(f136(x134841,x134842),x134843))),f326(f172(x134841),x134843)))),
% 225.14/225.19 inference(rename_variables,[],[4160])).
% 225.14/225.19 cnf(13485,plain,
% 225.14/225.19 (E(f326(f326(f18(x134851,x134852),x134853),x134854),x134853)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13488,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x134881,a913)),f326(f172(x134881),f326(f326(f175(x134881),x134882),x134883))),f326(f172(x134881),x134883)))),
% 225.14/225.19 inference(rename_variables,[],[4202])).
% 225.14/225.19 cnf(13489,plain,
% 225.14/225.19 (E(f326(f326(f18(x134891,x134892),x134893),x134894),x134893)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13493,plain,
% 225.14/225.19 (E(f326(f326(f18(x134931,x134932),x134933),x134934),x134933)),
% 225.14/225.19 inference(rename_variables,[],[3503])).
% 225.14/225.19 cnf(13506,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x135061)))),
% 225.14/225.19 inference(rename_variables,[],[3613])).
% 225.14/225.19 cnf(13511,plain,
% 225.14/225.19 (P25(x135111,x135111,f7(x135111),x135112)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13514,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x135141),x135142),f188(f925(x135141,a913))))),
% 225.14/225.19 inference(rename_variables,[],[4733])).
% 225.14/225.19 cnf(13515,plain,
% 225.14/225.19 (E(f326(f283(x135151,x135151),f262(x135151,x135152)),x135152)),
% 225.14/225.19 inference(rename_variables,[],[3473])).
% 225.14/225.19 cnf(13516,plain,
% 225.14/225.19 (P25(x135161,x135161,f7(x135161),x135162)),
% 225.14/225.19 inference(rename_variables,[],[3750])).
% 225.14/225.19 cnf(13520,plain,
% 225.14/225.19 (E(f326(f283(x135201,x135201),f262(x135201,x135202)),x135202)),
% 225.14/225.19 inference(rename_variables,[],[3473])).
% 225.14/225.19 cnf(13534,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),f2(a917)),x135341))),
% 225.14/225.19 inference(rename_variables,[],[3533])).
% 225.14/225.19 cnf(13535,plain,
% 225.14/225.19 (P105(f326(f326(f235(a917),f2(a917)),f326(a112,x135351)))),
% 225.14/225.19 inference(rename_variables,[],[3592])).
% 225.14/225.19 cnf(13536,plain,
% 225.14/225.19 (E(f326(f283(x135361,x135361),f262(x135361,x135362)),x135362)),
% 225.14/225.19 inference(rename_variables,[],[3473])).
% 225.14/225.19 cnf(13561,plain,
% 225.14/225.19 (~E(f326(f326(f151(x135611),x135612),x135613),f326(f168(x135611),f113(x135611)))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,12946,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,13358,13364,13369,13373,13379,13382,13406,13511,13516,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,12892,13428,13432,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,11377,13452,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3151,3153,3156,3162,3169,3171,3179,3182,3189,3192,3193,3201,3206,3212,3214,3215,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,13227,13397,13515,13520,13536,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,13324,13417,13481,13485,13489,13493,4107,4731,11303,11402,11641,11644,3478,3910,3500,3617,3834,3589,3609,4709,3583,12898,12900,12962,3407,10613,10943,3408,4718,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,11524,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3694,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,13431,13436,3963,11961,3496,3592,11789,12072,13535,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,13339,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,13106,13463,13467,13471,4099,3684,13468,3685,13464,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,12735,13484,4202,13488,4207,11329,12449,12525,12585,12629,13327,13455,4208,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,13297,13363,13368,13388,13409,4741,11072,11478,12589,13376,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,13340,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,13289,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,13278,13401,13420,13423,13460,13480,13514,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,13445,13506,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,13176,13448,13534,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,4501,3823,11957,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,13357,3958,11242,11248,11266,12259,12389,12470,12760,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,13300,4289,3960,10976,11345,11510,11544,11555,12699,12749,13393,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,12620,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,11161,13435,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862,9120,9121,9190,9204,9257,9258,9377,9412,9438,9472,9513,9715,9838,9981,10170,10226,10228,6080,6622,6623,6712,6732,6733,7153,7371,8704,8783,9030,9213,9214,9284,9285,9467,9561,9562,9563,9564,9778,10045,10059,10432,10433,6694,8615,8616,9086,9104,10046,10431,4807,4839,4840,4843,4889])).
% 225.14/225.19 cnf(13615,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),f2(a1)),f326(f75(a1),f77(a1))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,12946,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,13358,13364,13369,13373,13379,13382,13406,13511,13516,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,12892,13428,13432,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,11377,13452,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3151,3153,3156,3162,3169,3171,3179,3182,3189,3192,3193,3201,3206,3212,3214,3215,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,13227,13397,13515,13520,13536,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,13324,13417,13481,13485,13489,13493,4107,4731,11303,11402,11641,11644,3478,3910,3500,3617,3834,3589,3609,4709,3583,12898,12900,12962,3407,10613,10943,3408,4718,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,11524,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3694,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,13431,13436,3963,11961,3496,3592,11789,12072,13535,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,13339,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,13106,13463,13467,13471,4099,3684,13468,3685,13464,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,12735,13484,4202,13488,4207,11329,12449,12525,12585,12629,13327,13455,4208,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,13297,13363,13368,13388,13409,4741,11072,11478,12589,13376,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,13340,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,13289,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,13278,13401,13420,13423,13460,13480,13514,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,13445,13506,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,13176,13448,13534,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,4501,3823,11957,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,13357,3958,11242,11248,11266,12259,12389,12470,12760,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,13300,4289,3960,10976,11345,11510,11544,11555,12699,12749,13393,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,12620,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,11161,13435,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862,9120,9121,9190,9204,9257,9258,9377,9412,9438,9472,9513,9715,9838,9981,10170,10226,10228,6080,6622,6623,6712,6732,6733,7153,7371,8704,8783,9030,9213,9214,9284,9285,9467,9561,9562,9563,9564,9778,10045,10059,10432,10433,6694,8615,8616,9086,9104,10046,10431,4807,4839,4840,4843,4889,4893,4898,4939,5036,5053,5083,5084,5115,5177,5180,5240,5371,5410,5411,5413,5420,5421,5445,5490,5521,5543,5676,5749,5750,5751,5869,5870])).
% 225.14/225.19 cnf(13639,plain,
% 225.14/225.19 (~P105(f326(f60(x136391),f36(f925(x136391,a913),f241(f925(f925(x136391,a913),a913)))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,12946,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,13358,13364,13369,13373,13379,13382,13406,13511,13516,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,12892,13428,13432,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,11377,13452,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3151,3153,3156,3162,3169,3171,3179,3182,3189,3192,3193,3201,3206,3212,3214,3215,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,13227,13397,13515,13520,13536,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,13324,13417,13481,13485,13489,13493,4107,4731,11303,11402,11641,11644,3478,3910,3500,3617,3834,3589,3609,4709,3583,12898,12900,12962,3407,10613,10943,3408,4718,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,11524,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3694,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,13431,13436,3963,11961,3496,3592,11789,12072,13535,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,13339,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,13106,13463,13467,13471,4099,3684,13468,3685,13464,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,12735,13484,4202,13488,4207,11329,12449,12525,12585,12629,13327,13455,4208,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,13297,13363,13368,13388,13409,4741,11072,11478,12589,13376,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,13340,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,13289,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,13278,13401,13420,13423,13460,13480,13514,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,13445,13506,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,13176,13448,13534,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,4501,3823,11957,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,13357,3958,11242,11248,11266,12259,12389,12470,12760,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,13300,4289,3960,10976,11345,11510,11544,11555,12699,12749,13393,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,12620,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,11161,13435,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862,9120,9121,9190,9204,9257,9258,9377,9412,9438,9472,9513,9715,9838,9981,10170,10226,10228,6080,6622,6623,6712,6732,6733,7153,7371,8704,8783,9030,9213,9214,9284,9285,9467,9561,9562,9563,9564,9778,10045,10059,10432,10433,6694,8615,8616,9086,9104,10046,10431,4807,4839,4840,4843,4889,4893,4898,4939,5036,5053,5083,5084,5115,5177,5180,5240,5371,5410,5411,5413,5420,5421,5445,5490,5521,5543,5676,5749,5750,5751,5869,5870,5896,5900,5959,5961,5970,5976,6061,6146,6252,6295,6350,6461])).
% 225.14/225.19 cnf(13675,plain,
% 225.14/225.19 (~P105(f326(f326(f234(f925(a1,a913)),f326(f309(a917,a1,f100(a1)),f302(a917,f2(a917),f2(a917)))),f326(f309(a917,a1,f100(a1)),f302(a917,f326(a112,f2(a917)),x136751))))),
% 225.14/225.19 inference(scs_inference,[],[3114,4175,12782,12804,12942,12944,12946,3750,11397,12452,12555,12558,12650,12692,12696,12704,12776,12902,12904,13358,13364,13369,13373,13379,13382,13406,13511,13516,3759,12522,12989,12991,3767,3482,12929,12931,12933,3483,12976,3449,12858,4698,4699,12037,4450,13015,3486,13007,3325,3382,12952,3383,12968,3384,3385,3386,12732,12984,4697,3809,4669,10480,10490,10503,10514,10586,10621,10624,10627,10729,10864,11174,11367,11370,11389,11392,11585,11689,11696,11708,11754,11757,11790,11805,11868,11925,11944,12235,12263,12277,12306,12312,12406,12518,12685,12746,12892,13428,13432,3568,3531,13003,3718,12207,3433,4679,10713,10813,11277,11377,13452,3121,3122,3124,3125,3128,3129,3131,3132,3133,3141,3142,3145,3146,3147,3150,3151,3153,3156,3162,3169,3171,3179,3182,3189,3192,3193,3201,3206,3212,3214,3215,3217,3218,3230,3236,3238,3241,3245,3246,3248,3249,3256,3257,3264,3267,3270,3271,3272,3273,3276,3277,3281,3291,3302,4666,3307,3381,4667,3848,4078,11975,3359,11686,3494,3470,3473,10549,10552,10648,10651,10967,11699,11702,11816,11855,11860,11928,11970,12424,12626,12836,12894,12911,12918,12920,12922,12927,12935,12940,13028,13227,13397,13515,13520,13536,3444,12717,12721,12725,3450,3459,3970,4277,3427,13290,3579,12779,12861,3348,3349,3712,4064,11730,3567,3410,3345,3372,3828,3368,3565,4184,4072,3891,4641,12880,3356,3357,3335,3315,3983,3392,3569,11124,11251,12519,12736,3443,4149,4688,10540,10710,11582,12677,12718,12722,4695,12689,3503,12057,12060,13324,13417,13481,13485,13489,13493,4107,4731,11303,11402,11641,11644,3478,3910,3500,3617,3834,3589,3609,4709,3583,12898,12900,12962,3407,10613,10943,3408,4718,3671,3400,3429,11720,4291,12707,12848,4151,11323,11454,11513,12661,12667,12793,12796,12826,4749,11226,11467,11576,11602,11649,11655,12605,4750,11356,11470,11579,4751,11473,11524,4752,11531,4753,3428,3710,12561,12602,12688,3875,3659,4564,4565,3694,3731,4686,11713,3852,3811,3854,4027,3778,13210,13214,13218,13222,13232,4074,12552,3696,3953,3580,10632,10752,10830,10903,10906,10946,11046,11293,11902,12109,12231,12299,12377,12415,12490,12493,12830,13093,13131,13134,13193,13431,13436,3963,11961,3496,3592,11789,12072,13535,3773,4724,10517,10520,10546,10673,10848,11054,11069,11184,11627,11723,11901,12126,12131,12353,12356,12436,12608,12711,13039,13058,13061,13085,13135,13306,13311,13334,13339,4737,11832,11863,11898,11905,11941,13144,13148,3950,3719,3721,12252,13064,13067,13070,13073,13103,13106,13463,13467,13471,4099,3684,13468,3685,13464,3539,3541,3515,4721,3406,4683,3901,4213,3703,4738,4284,11599,3833,3552,12078,12081,12526,12630,12807,4729,10508,10511,10681,10776,10795,10802,10825,10833,10836,10853,11039,11280,11493,11783,11877,12026,12144,12147,4253,4212,12224,12576,4160,11121,12409,12586,12735,13484,4202,13488,4207,11329,12449,12525,12585,12629,13327,13455,4208,3876,11909,12234,12384,12457,12509,4241,3893,10676,10773,11326,11407,11486,11550,12405,12471,12741,12803,12823,12833,13297,13363,13368,13388,13409,4741,11072,11478,12589,13376,3512,10641,10739,10889,10953,11028,11075,11078,11109,11132,11168,11206,11245,12029,12075,12204,12262,12280,12283,12286,12289,12464,12478,12481,12484,12487,12569,12633,12752,12799,13086,13109,13167,13185,13196,13201,13204,13207,13240,13251,13264,13317,13345,13348,3513,10668,10724,10958,11049,11171,11808,12106,12112,12123,12210,12221,12240,12245,12292,12315,12332,13100,13244,13267,13307,13312,13335,13340,3514,12496,12499,3588,12441,13164,13211,13215,13219,13223,13233,13237,4720,10557,10589,11093,11135,11144,11989,12010,12178,12181,12184,12187,12276,12295,12298,12311,12365,12368,12371,12374,12537,12540,12636,12639,12745,12785,12870,3666,10818,10909,11179,11223,11457,11460,11539,11624,11793,12040,12684,12873,13289,4733,11102,11215,11236,11239,11306,11309,11320,11423,11431,11445,11481,11498,11507,11547,11588,11593,11596,11615,11618,11658,11663,11666,11669,11672,11908,12054,12087,12359,12362,12396,12442,12467,12614,12658,12664,12764,12767,12789,12847,12853,12864,12886,13163,13179,13182,13278,13401,13420,13423,13460,13480,13514,3573,10940,10970,10979,10982,10985,11568,12786,12800,13145,13149,13152,13155,3613,13445,13506,3605,4031,3968,10592,11964,11992,13126,4730,10537,10928,10931,11426,11442,11924,11980,12014,12041,12141,12166,12169,12172,12175,12435,13351,3533,10973,11129,11199,11993,12140,12337,12545,12570,13176,13448,13534,3993,12084,13080,4332,3725,4727,4005,4039,4712,4715,4716,3489,3493,4714,4713,4501,3823,11957,4428,11815,4743,10839,10842,4748,11312,11315,11501,11612,11632,11678,4117,11675,12013,12017,12695,12703,12792,13293,13357,3958,11242,11248,11266,12259,12389,12470,12760,3807,11382,11504,12502,12611,12621,12700,12755,12763,12883,13300,4289,3960,10976,11345,11510,11544,11555,12699,12749,13393,3667,3774,10892,10895,10988,11155,3776,4746,11958,4742,13048,4747,10732,10845,11621,12564,12573,12617,12817,12820,4389,11112,12582,12597,12620,4295,3992,12889,3936,3937,4744,10562,10565,10934,10937,11829,12018,12829,4745,11938,12023,3961,10898,11161,13435,4227,4760,4786,4841,4845,4873,4888,4895,4897,4933,4938,4967,4973,5059,5085,5086,5101,5155,5156,5178,5179,5193,5197,5222,5228,5244,5248,5249,5250,5255,5256,5279,5303,5305,5306,5316,5321,5327,5363,5364,5372,5380,5384,5386,5389,5401,5403,5409,5414,5415,5428,5434,5437,5438,5442,5476,5491,5500,5502,5503,5506,5507,5508,5518,5520,5526,5527,5528,5534,5538,5539,5540,5548,5552,5553,5559,5572,5580,5592,5594,5602,5604,5605,5608,5612,5638,5652,5653,5668,5680,5702,5708,5730,5731,5735,5754,5762,5763,5768,5769,5779,5781,5794,5798,5807,5808,5810,5811,5827,5832,5841,5842,5853,5860,5874,5878,5881,5887,5888,5889,5892,5897,5933,5934,5937,5939,5941,5943,5944,5945,5947,5949,5951,5956,5963,5978,5992,5998,5999,6008,6019,6020,6027,6031,6033,6038,6046,6084,6099,6108,6111,6120,6124,6125,6126,6127,6128,6133,6138,6148,6154,6172,6176,6185,6214,6229,6255,6272,6273,6276,6290,6292,6294,6296,6311,6312,6315,6317,6320,6321,6335,6343,6344,6345,6347,6349,6385,6386,6392,6395,6401,6405,6439,6441,6443,6445,6455,6457,6459,6465,6467,6472,6475,6483,6491,6493,6494,6501,6523,6524,6525,6526,6527,6529,6536,6541,6574,6575,6578,6579,6580,6582,6583,6584,6585,6592,6624,6625,6634,6655,6656,6678,6680,6692,6693,6699,6729,6731,6746,6785,6788,6789,6843,6866,6910,6924,6931,6940,6941,6942,6943,6961,6962,6969,6981,6984,6986,6988,6989,6990,6992,7006,7017,7018,7019,7032,7087,7098,7100,7122,7123,7158,7165,7170,7200,7230,7286,7315,7372,7393,7402,7405,7465,7478,7539,7541,7555,7564,7565,7566,7583,7587,7589,7636,7646,7649,7664,7711,7713,7716,7759,7760,7778,7848,7866,7890,7914,7926,7940,7951,7962,7963,7989,7991,7993,8002,8040,8051,8076,8103,8136,8168,8201,8240,8256,8258,8274,8275,8341,8352,8417,8441,8460,8487,8526,8527,8544,8583,8585,8587,8593,8608,8612,8627,8648,8656,8658,8668,8673,8677,8678,8679,8680,8681,8682,8701,8716,8717,8735,8736,8741,8742,8743,8744,8745,8763,8764,8765,8775,8788,8791,8802,8807,8809,8811,8812,8813,8820,8826,8834,8837,8854,8855,8864,8865,8873,8892,8905,8909,8930,8952,8953,8956,8957,8963,8972,8973,8996,9007,9017,9018,9019,9022,9045,9046,9057,9106,9116,9118,9134,9146,9147,9148,9159,9223,9254,9255,9256,9271,9288,9296,9324,9325,9393,9427,9433,9443,9444,9445,9454,9484,9500,9504,9508,9530,9531,9558,9622,9627,9630,9665,9666,9667,9695,9696,9712,9733,9739,9751,9776,9797,9806,9807,9808,9809,9824,9826,9831,9861,9862,9868,9869,9914,9915,9926,9927,9951,9969,9971,9972,9980,9985,9992,10016,10040,10051,10053,10057,10108,10142,10152,10154,10158,10159,10161,10171,10172,10192,10197,10292,10381,10382,10383,10384,10446,10464,2,8,9,4773,4774,4792,4834,4836,4837,4866,4867,4877,4922,4924,4972,5102,5103,5120,5144,5200,5201,5207,5208,5210,5212,5221,5224,5225,5233,5246,5247,5253,5274,5275,5292,5297,5298,5299,5300,5304,5312,5315,5322,5377,5382,5383,5388,5395,5425,5435,5440,5456,5473,5475,5482,5483,5485,5496,5514,5516,5517,5524,5531,5532,5544,5545,5546,5547,5549,5550,5555,5556,5557,5558,5588,5589,5590,5598,5599,5600,5601,5644,5649,5651,5687,5689,5690,5692,5693,5695,5696,5698,5707,5712,5713,5714,5716,5718,5719,5720,5721,5722,5723,5732,5733,5743,5746,5757,5773,5774,5777,5787,5790,5791,5792,5819,5829,5844,5845,5854,5855,5857,5859,5864,5899,5904,5906,5965,6000,6001,6012,6018,6021,6022,6023,6024,6043,6047,6048,6057,6079,6112,6131,6132,6136,6137,6139,6162,6166,6169,6170,6171,6187,6198,6199,6231,6232,6236,6257,6260,6263,6284,6285,6313,6316,6324,6334,6342,6346,6354,6355,6356,6357,6388,6389,6406,6458,6495,6497,6498,6520,6521,6528,6532,6533,6537,6551,6566,6587,6588,6593,6602,6617,6637,6643,6645,6660,6661,6665,6667,6668,6669,6671,6673,6674,6675,6679,6685,6686,6688,6689,6695,6697,6739,6745,6760,6763,6764,6765,6799,6804,6806,6811,6812,6822,6826,6838,6861,6862,6864,6865,6876,6881,6884,6902,6905,6925,6944,6955,6956,6957,6963,6977,6996,6998,7000,7002,7007,7013,7015,7029,7034,7035,7072,7073,7074,7089,7090,7092,7093,7112,7114,7129,7156,7178,7189,7191,7193,7195,7196,7227,7228,7229,7233,7234,7242,7244,7245,7246,7268,7277,7278,7289,7299,7339,7349,7355,7362,7373,7378,7380,7387,7396,7409,7426,7447,7449,7468,7524,7525,7526,7528,7530,7534,7535,7540,7603,7632,7647,7663,7694,7697,7719,7743,7761,7764,7765,7775,7795,7797,7799,7801,7802,7803,7804,7805,7830,7856,7857,7889,7891,7892,7893,7899,7920,7937,7942,7948,7950,7958,7970,7971,7973,7994,8000,8021,8089,8090,8091,8139,8145,8146,8170,8171,8188,8189,8190,8247,8248,8277,8306,8315,8329,8344,8373,8377,8383,8395,8413,8418,8440,8485,8514,8528,8547,8550,8576,8602,8659,8660,8663,8664,8733,8767,8768,8769,8770,8797,8829,8858,8866,8867,8908,8929,8974,8990,9036,9039,9054,9061,9103,9142,9143,9161,9162,9176,9293,9298,9302,9322,9333,9356,9358,9361,9367,9369,9370,9380,9381,9400,9408,9419,9426,9470,9488,9543,9544,9550,9589,9614,9619,9659,9671,9675,9676,9680,9681,9694,9717,9732,9741,9742,9744,9746,9775,9896,9897,9946,9947,9986,10021,10133,10201,10270,10271,10354,10372,10377,3,2851,2852,2853,2855,2856,2863,2864,2865,2866,2870,2874,2875,2876,2877,2879,2885,2889,2891,2892,2893,2905,2911,2912,2913,2920,2923,2925,2928,2929,2930,2931,2932,2933,2948,2949,2950,2955,2956,2958,2959,2960,2961,2962,2964,2965,2971,2972,2984,2985,2986,2988,2989,2990,3001,3002,3004,3005,3006,3008,3009,3011,3012,3013,3021,3023,3030,3031,3033,3035,3043,3044,3045,3065,3068,3069,3070,3072,3075,3080,3081,3111,5472,5513,5660,5661,5662,5744,5843,5873,5907,5923,5925,5931,5993,5994,5995,5996,6010,6045,6182,6220,6230,6254,6288,6325,6474,6479,6518,6519,6542,6544,6546,6553,6554,6555,6556,6557,6558,6559,6560,6638,6709,6710,6798,6833,6834,6873,6874,7014,7028,7084,7101,7102,7108,7130,7162,7164,7210,7231,7232,7250,7251,7288,7333,7334,7433,7505,7506,7507,7508,7523,7556,7608,7609,7618,7623,7624,7635,7666,7667,7668,7669,7811,7812,7814,7816,7822,7823,7897,8027,8030,8036,8037,8048,8086,8087,8166,8206,8260,8282,8283,8359,8453,8524,8525,8529,8562,8598,8623,8624,8691,8709,8710,8711,8712,8862,9120,9121,9190,9204,9257,9258,9377,9412,9438,9472,9513,9715,9838,9981,10170,10226,10228,6080,6622,6623,6712,6732,6733,7153,7371,8704,8783,9030,9213,9214,9284,9285,9467,9561,9562,9563,9564,9778,10045,10059,10432,10433,6694,8615,8616,9086,9104,10046,10431,4807,4839,4840,4843,4889,4893,4898,4939,5036,5053,5083,5084,5115,5177,5180,5240,5371,5410,5411,5413,5420,5421,5445,5490,5521,5543,5676,5749,5750,5751,5869,5870,5896,5900,5959,5961,5970,5976,6061,6146,6252,6295,6350,6461,6586,6743,6780,6950,7205,7376,7592,7610,7673,8007,8009,8165,8257,8263,8955,9084,9187,9287])).
% 225.14/225.19 cnf(13835,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x138351),x138352),f326(f284(x138353,x138351,x138354),f326(f284(x138355,x138353,x138356),f188(f925(x138355,a913))))))),
% 225.14/225.19 inference(rename_variables,[],[11590])).
% 225.14/225.19 cnf(13845,plain,
% 225.14/225.19 (E(f326(x138451,f326(f90(x138452,x138453,f241(f925(x138452,a913)),x138451),f326(x138451,x138454))),f326(x138451,x138454))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13855,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),x138551),f326(f326(f79(a1),x138551),f77(a1))))),
% 225.14/225.19 inference(rename_variables,[],[11170])).
% 225.14/225.19 cnf(13858,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),x138581),f326(f326(f79(a1),x138581),f77(a1))))),
% 225.14/225.19 inference(rename_variables,[],[11170])).
% 225.14/225.19 cnf(13863,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x138631),f326(f189(f918(x138632)),f113(x138632))))),
% 225.14/225.19 inference(rename_variables,[],[12846])).
% 225.14/225.19 cnf(13876,plain,
% 225.14/225.19 (E(f326(x138761,f326(f90(x138762,x138763,f241(f925(x138762,a913)),x138761),f326(x138761,x138764))),f326(x138761,x138764))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13895,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x138951),x138952),f326(f284(x138953,x138951,x138954),f326(f284(x138955,x138953,x138956),f188(f925(x138955,a913))))))),
% 225.14/225.19 inference(rename_variables,[],[11590])).
% 225.14/225.19 cnf(13898,plain,
% 225.14/225.19 (E(f326(x138981,f326(f90(x138982,x138983,f241(f925(x138982,a913)),x138981),f326(x138981,x138984))),f326(x138981,x138984))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13904,plain,
% 225.14/225.19 (E(f326(x139041,f326(f90(x139042,x139043,f241(f925(x139042,a913)),x139041),f326(x139041,x139044))),f326(x139041,x139044))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13907,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139071,x139072)),x139073),f326(f309(f924(x139074,x139074),f924(x139071,x139072),f257(x139074,x139071,x139074,x139072,x139075,x139076)),f153(x139074,f113(f925(x139074,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13910,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139101,x139102)),x139103),f326(f309(f924(x139104,x139104),f924(x139101,x139102),f257(x139104,x139101,x139104,x139102,x139105,x139106)),f153(x139104,f113(f925(x139104,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13913,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139131,x139132)),x139133),f326(f309(f924(x139134,x139134),f924(x139131,x139132),f257(x139134,x139131,x139134,x139132,x139135,x139136)),f153(x139134,f113(f925(x139134,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13916,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x139161),x139162),f326(f284(x139163,x139161,x139164),f326(f284(x139165,x139163,x139166),f188(f925(x139165,a913))))))),
% 225.14/225.19 inference(rename_variables,[],[11590])).
% 225.14/225.19 cnf(13919,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139191,x139192)),x139193),f326(f309(f924(x139194,x139194),f924(x139191,x139192),f257(x139194,x139191,x139194,x139192,x139195,x139196)),f153(x139194,f113(f925(x139194,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13922,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139221,x139222)),x139223),f326(f309(f924(x139224,x139224),f924(x139221,x139222),f257(x139224,x139221,x139224,x139222,x139225,x139226)),f153(x139224,f113(f925(x139224,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13925,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139251,x139252)),x139253),f326(f309(f924(x139254,x139254),f924(x139251,x139252),f257(x139254,x139251,x139254,x139252,x139255,x139256)),f153(x139254,f113(f925(x139254,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(13928,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x139281),x139282),f326(f284(x139283,x139281,x139284),f326(f284(x139285,x139283,x139286),f188(f925(x139285,a913))))))),
% 225.14/225.19 inference(rename_variables,[],[11590])).
% 225.14/225.19 cnf(13931,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x139311,x139311)),x139312),f262(x139311,f188(f925(x139311,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(13934,plain,
% 225.14/225.19 (~P105(f326(f326(f254(x139341,x139342,a913,f326(f172(x139343),f113(x139343))),x139344),x139345))),
% 225.14/225.19 inference(rename_variables,[],[11492])).
% 225.14/225.19 cnf(13937,plain,
% 225.14/225.19 (E(f326(x139371,f326(f90(x139372,x139373,f241(f925(x139372,a913)),x139371),f326(x139371,x139374))),f326(x139371,x139374))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13943,plain,
% 225.14/225.19 (E(f326(f78(f925(x139431,a913)),f326(f78(f925(x139431,a913)),x139432)),x139432)),
% 225.14/225.19 inference(rename_variables,[],[3640])).
% 225.14/225.19 cnf(13948,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x139481,a913)),f326(f284(x139482,x139481,x139483),f188(f925(x139482,a913)))),x139484))),
% 225.14/225.19 inference(rename_variables,[],[11554])).
% 225.14/225.19 cnf(13951,plain,
% 225.14/225.19 (E(f326(x139511,f326(f90(x139512,x139513,f241(f925(x139512,a913)),x139511),f326(x139511,x139514))),f326(x139511,x139514))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(13962,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x139621),f918(x139621))),f326(f326(f251(f918(x139621),f918(x139621)),x139622),x139623)),f157(x139621,f153(x139621,f113(f925(x139621,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11631])).
% 225.14/225.19 cnf(13973,plain,
% 225.14/225.19 (~E(f326(f257(x139731,x139732,x139733,x139733,f309(x139734,f925(x139734,a913),x139735),f31(x139733)),x139736),f326(f257(x139731,x139732,x139733,x139733,f307(x139734),f31(x139733)),x139736))),
% 225.14/225.19 inference(rename_variables,[],[11640])).
% 225.14/225.19 cnf(13976,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f925(x139761,a913),f925(x139761,a913))),f326(f326(f251(f925(x139761,a913),f925(x139761,a913)),x139762),f188(f925(x139761,a913)))),f313(x139761)))),
% 225.14/225.19 inference(rename_variables,[],[11536])).
% 225.14/225.19 cnf(13979,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x139791),f326(f326(f79(a917),x139792),x139791)))),
% 225.14/225.19 inference(rename_variables,[],[3775])).
% 225.14/225.19 cnf(13984,plain,
% 225.14/225.19 (~E(f241(f925(x139841,a913)),f188(f925(x139841,a913)))),
% 225.14/225.19 inference(rename_variables,[],[4689])).
% 225.14/225.19 cnf(13989,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x139891),f326(f326(f79(a917),x139892),x139891)))),
% 225.14/225.19 inference(rename_variables,[],[3775])).
% 225.14/225.19 cnf(13997,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x139971),f918(x139971))),f326(f326(f251(f918(x139971),f918(x139971)),x139972),f113(x139971))),f326(f285(f918(x139971),f918(x139971)),f157(x139971,x139973))))),
% 225.14/225.19 inference(rename_variables,[],[11523])).
% 225.14/225.19 cnf(14015,plain,
% 225.14/225.19 (~P105(f326(f326(f254(x140151,x140152,a913,f326(f172(x140153),f113(x140153))),x140154),x140155))),
% 225.14/225.19 inference(rename_variables,[],[11492])).
% 225.14/225.19 cnf(14018,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x140181,x140181)),x140182),f262(x140181,f188(f925(x140181,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(14036,plain,
% 225.14/225.19 (E(f326(f326(f154(x140361,x140361),f7(x140361)),x140362),x140362)),
% 225.14/225.19 inference(rename_variables,[],[3527])).
% 225.14/225.19 cnf(14039,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x140391,a913)),f326(f284(x140392,x140391,f188(f925(f924(x140392,x140391),a913))),x140393)),x140394))),
% 225.14/225.19 inference(rename_variables,[],[11509])).
% 225.14/225.19 cnf(14042,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x140421),f326(f189(f918(x140422)),f113(x140422))))),
% 225.14/225.19 inference(rename_variables,[],[12846])).
% 225.14/225.19 cnf(14062,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x140621),f918(x140621))),f326(f326(f251(f918(x140621),f918(x140621)),x140622),x140623)),f157(x140621,f153(x140621,f113(f925(x140621,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11631])).
% 225.14/225.19 cnf(14082,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x140821),f918(x140821))),f326(f326(f251(f918(x140821),f918(x140821)),x140822),x140823)),f157(x140821,f153(x140821,f113(f925(x140821,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11631])).
% 225.14/225.19 cnf(14085,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x140851,a913)),x140852),f326(f326(f101(f925(x140851,a913)),x140853),x140852)))),
% 225.14/225.19 inference(rename_variables,[],[4104])).
% 225.14/225.19 cnf(14090,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x140901,a913)),f326(f326(f3(f925(x140901,a913)),x140902),x140903)),x140902))),
% 225.14/225.19 inference(rename_variables,[],[4226])).
% 225.14/225.19 cnf(14100,plain,
% 225.14/225.19 (E(f326(x141001,f326(f90(x141002,x141003,f241(f925(x141002,a913)),x141001),f326(x141001,x141004))),f326(x141001,x141004))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(14109,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x141091,a913)),f326(f284(x141092,x141091,f188(f925(f924(x141092,x141091),a913))),x141093)),x141094))),
% 225.14/225.19 inference(rename_variables,[],[11509])).
% 225.14/225.19 cnf(14116,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x141161,x141161)),x141162),f262(x141161,f188(f925(x141161,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(14119,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x141191,x141192)),x141193),f326(f309(f924(x141194,x141194),f924(x141191,x141192),f257(x141194,x141191,x141194,x141192,x141195,x141196)),f153(x141194,f113(f925(x141194,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(14146,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x141461),f918(x141461))),f326(f326(f251(f918(x141461),f918(x141461)),f113(x141461)),x141462)),f326(f285(f918(x141461),f918(x141461)),f145(x141461,x141463))))),
% 225.14/225.19 inference(rename_variables,[],[11475])).
% 225.14/225.19 cnf(14149,plain,
% 225.14/225.19 (P105(f326(f326(f328(f924(x141491,x141491)),f326(f326(f251(x141491,x141491),x141492),x141492)),f326(f326(f288(x141491,x141491,x141491),f306(x141491,x141493)),f306(x141491,f306(x141491,x141493)))))),
% 225.14/225.19 inference(rename_variables,[],[12814])).
% 225.14/225.19 cnf(14152,plain,
% 225.14/225.19 (~E(f326(f326(f151(x141521),x141522),x141523),f326(f168(x141521),f113(x141521)))),
% 225.14/225.19 inference(rename_variables,[],[13561])).
% 225.14/225.19 cnf(14165,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x141651,a913)),f326(f326(f3(f925(x141651,a913)),x141652),x141653)),x141652))),
% 225.14/225.19 inference(rename_variables,[],[4226])).
% 225.14/225.19 cnf(14171,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x141711,x141712)),x141713),f326(f309(f924(x141714,x141714),f924(x141711,x141712),f257(x141714,x141711,x141714,x141712,x141715,x141716)),f153(x141714,f113(f925(x141714,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11677])).
% 225.14/225.19 cnf(14174,plain,
% 225.14/225.19 (~P105(f326(f326(f328(x141741),x141742),f326(f284(x141743,x141741,x141744),f326(f284(x141745,x141743,x141746),f188(f925(x141745,a913))))))),
% 225.14/225.19 inference(rename_variables,[],[11590])).
% 225.14/225.19 cnf(14179,plain,
% 225.14/225.19 (~P105(f326(f326(f254(x141791,x141792,a913,f326(f172(x141793),f113(x141793))),x141794),x141795))),
% 225.14/225.19 inference(rename_variables,[],[11492])).
% 225.14/225.19 cnf(14195,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),f326(f326(f3(a1),x141951),f77(a1))),x141951))),
% 225.14/225.19 inference(rename_variables,[],[11048])).
% 225.14/225.19 cnf(14208,plain,
% 225.14/225.19 (~P105(f326(f326(f66(f918(x142081),f918(x142081),f145(x142081,x142082)),x142083),f113(x142081)))),
% 225.14/225.19 inference(rename_variables,[],[11353])).
% 225.14/225.19 cnf(14226,plain,
% 225.14/225.19 (~E(f326(f326(f151(x142261),x142262),x142263),f326(f168(x142261),f113(x142261)))),
% 225.14/225.19 inference(rename_variables,[],[13561])).
% 225.14/225.19 cnf(14236,plain,
% 225.14/225.19 (E(f326(x142361,f326(f90(x142362,x142363,f241(f925(x142362,a913)),x142361),f326(x142361,x142364))),f326(x142361,x142364))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(14239,plain,
% 225.14/225.19 (P105(f326(f326(f234(a917),x142391),f326(f326(f79(a917),x142392),x142391)))),
% 225.14/225.19 inference(rename_variables,[],[3775])).
% 225.14/225.19 cnf(14248,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x142481),f918(x142481))),f326(f326(f251(f918(x142481),f918(x142481)),x142482),x142483)),f157(x142481,f153(x142481,f113(f925(x142481,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11631])).
% 225.14/225.19 cnf(14255,plain,
% 225.14/225.19 (P105(f326(f326(f234(a1),f44(a917,x142551,f188(a917))),x142551))),
% 225.14/225.19 inference(rename_variables,[],[12105])).
% 225.14/225.19 cnf(14258,plain,
% 225.14/225.19 (~P105(f326(f326(f235(a917),x142581),f326(f189(f918(x142582)),f113(x142582))))),
% 225.14/225.19 inference(rename_variables,[],[12846])).
% 225.14/225.19 cnf(14261,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x142611,a913)),f326(f326(f3(f925(x142611,a913)),x142612),x142613)),x142612))),
% 225.14/225.19 inference(rename_variables,[],[4226])).
% 225.14/225.19 cnf(14267,plain,
% 225.14/225.19 (E(f326(x142671,f326(f90(x142672,x142673,f241(f925(x142672,a913)),x142671),f326(x142671,x142674))),f326(x142671,x142674))),
% 225.14/225.19 inference(rename_variables,[],[11379])).
% 225.14/225.19 cnf(14277,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(f918(x142771),f918(x142771))),f326(f326(f251(f918(x142771),f918(x142771)),x142772),x142773)),f157(x142771,f153(x142771,f113(f925(x142771,a917))))))),
% 225.14/225.19 inference(rename_variables,[],[11631])).
% 225.14/225.19 cnf(14283,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),f326(f326(f3(a1),x142831),f77(a1))),x142831))),
% 225.14/225.19 inference(rename_variables,[],[11048])).
% 225.14/225.19 cnf(14294,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x142941,x142941)),x142942),f262(x142941,f188(f925(x142941,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(14309,plain,
% 225.14/225.19 (~P105(f326(f326(f254(x143091,x143092,a913,f326(f172(x143093),f113(x143093))),x143094),x143095))),
% 225.14/225.19 inference(rename_variables,[],[11492])).
% 225.14/225.19 cnf(14312,plain,
% 225.14/225.19 (P105(f326(f326(f234(f925(x143121,a913)),x143122),f326(f326(f101(f925(x143121,a913)),x143123),x143122)))),
% 225.14/225.19 inference(rename_variables,[],[4104])).
% 225.14/225.19 cnf(14324,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x143241,x143241)),x143242),f262(x143241,f188(f925(x143241,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(14327,plain,
% 225.14/225.19 (P105(f326(f326(f235(a1),f326(f326(f3(a1),x143271),f77(a1))),x143271))),
% 225.14/225.19 inference(rename_variables,[],[11048])).
% 225.14/225.19 cnf(14367,plain,
% 225.14/225.19 (~P34(x143671,x143672,x143673,f326(f326(f154(x143674,x143671),x143675),f326(a112,f113(x143674))),f113(x143672))),
% 225.14/225.19 inference(rename_variables,[],[11515])).
% 225.14/225.19 cnf(14375,plain,
% 225.14/225.19 (E(f326(f78(f925(x143751,a913)),f326(f78(f925(x143751,a913)),x143752)),x143752)),
% 225.14/225.19 inference(rename_variables,[],[3640])).
% 225.14/225.19 cnf(14378,plain,
% 225.14/225.19 (E(f326(f78(f925(x143781,a913)),f326(f78(f925(x143781,a913)),x143782)),x143782)),
% 225.14/225.19 inference(rename_variables,[],[3640])).
% 225.14/225.19 cnf(14383,plain,
% 225.14/225.19 (~P105(f326(f326(f328(f924(x143831,x143831)),x143832),f262(x143831,f188(f925(x143831,a913)))))),
% 225.14/225.19 inference(rename_variables,[],[11235])).
% 225.14/225.19 cnf(14461,plain,
% 225.14/225.19 ($false),
% 225.14/225.19 inference(scs_inference,[],[4065,4481,4203,3775,13979,13989,14239,3640,13943,14375,14378,3751,4119,3962,4226,14090,14165,14261,4689,13984,3527,14036,4717,4057,4058,4104,14085,14312,3605,3515,3467,4714,11253,11519,10743,11488,13011,11503,13356,12809,11353,14208,13561,14152,14226,12223,11475,14146,11523,13997,11530,12814,14149,10680,11844,11640,13973,11379,13845,13876,13898,13904,13937,13951,14100,14236,14267,13615,12850,10822,11631,13962,14062,14082,14248,14277,11677,13907,13910,13913,13919,13922,13925,14119,14171,11590,13835,13895,13916,13928,14174,11662,12317,10844,11536,13976,10972,11521,13292,11235,13931,14018,14116,14294,14324,14383,12423,11222,11238,11492,13934,14015,14179,14309,11386,11509,14039,14109,11331,11217,11554,13948,13675,11515,14367,10687,11173,10975,13169,12244,12588,12031,13639,10863,12501,12610,12846,13863,14042,14258,13097,10489,12101,11183,12279,13454,13280,11517,10987,12367,12370,12495,11048,14195,14283,14327,12159,12105,14255,11394,12601,11907,12643,12209,11170,13855,13858,11441,11852,10634,10572,10882,11995,12163,12203,3135,3509,3722,3878,4212,3823,3958,4798,4954,5051,5629,5726,5727,5895,5953,5962,6207,6279,6301,6452,6681,6711,6751,7041,7099,7529,7938,8128,8180,8181,8182,8917,9085,9206,4782,5236,5418,5419,5597,6951,7282,7283,7790,9020,9021,9037,9038,9617,5812,5319,9428,5256,8544,6455,4939,5949,5521,5978,7541,9992,7636,4845,8765,10159,10171,7565,5415,5506,6292,6969,8527,7993,9254,5240,6989,8612,5500,7315,5604,6311,8585,9926,6541,8802,9806,8809,9971,5178,5372,5540,6524,5250,5476,10057,8743,8892,5933,7230,5177,9985,5490,5520,7018,9504,5762,6350,8812,9445,8460,6788,8587,9862,5874,9667,4839,5534,6084,6229,6529,6988,8791,9826,9444,10158,6525,8648,7926,9017,5794,5528,6401,6584,6729,9665,9146,8583,8955,5887,6575,6579,6924,8837,9296,5751,5896,5652,6108,6120,6592,9022,8593,8002,5553,5702,6731,7759,6290,5364,7587,6961,6986,9558,5538,6493,10142,4973,5559,5769,8963,8742,10053,4841,6981,9287,5438,10382,7940,5608,5807,7713,9454,9969,5959,5442,4897,8826,9255,5507,5781,8040,8744,5053,8168,5115,5386,6405,6866,4807,7165,6127,8256,5998,5612,8668,8973,9484,6020,6027,8764,9324,6962,8741,6527,7646,5939,6033,6439,8716,6475,7170,6392,6992,8257,6655,6950,4933,6501,6583,8136,9627,10172,5249,5992,5059,6483,8855,5539,5808,7589,7848,9508,10152,5735,4888,6276,6296,7122,7778,10154,6941,8201,9666,8341,5414,6343,6743,9159,6536,8274,9118,4873]),
% 225.14/225.19 ['proof']).
% 225.14/225.20 % SZS output end Proof
% 225.14/225.20 % Total time :184.850000s
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